id	sid	tid	token	lemma	pos
ejpam-6488	1	1	european	european	PROPN
ejpam-6488	1	2	journal	journal	PROPN
ejpam-6488	1	3	of	of	ADP
ejpam-6488	1	4	pure	pure	ADJ
ejpam-6488	1	5	and	and	CCONJ
ejpam-6488	1	6	applied	applied	ADJ
ejpam-6488	1	7	mathematics	mathematic	NOUN
ejpam-6488	1	8	2025	2025	NUM
ejpam-6488	1	9	,	,	PUNCT
ejpam-6488	1	10	vol	vol	NOUN
ejpam-6488	1	11	.	.	PROPN
ejpam-6488	1	12	18	18	NUM
ejpam-6488	1	13	,	,	PUNCT
ejpam-6488	1	14	issue	issue	NOUN
ejpam-6488	1	15	4	4	NUM
ejpam-6488	1	16	,	,	PUNCT
ejpam-6488	1	17	article	article	NOUN
ejpam-6488	1	18	number	number	NOUN
ejpam-6488	1	19	6488	6488	NUM
ejpam-6488	1	20	issn	issn	VERB
ejpam-6488	1	21	1307	1307	NUM
ejpam-6488	1	22	-	-	SYM
ejpam-6488	1	23	5543	5543	NUM
ejpam-6488	1	24	–	–	PUNCT
ejpam-6488	1	25	ejpam.com	ejpam.com	X
ejpam-6488	1	26	published	publish	VERB
ejpam-6488	1	27	by	by	ADP
ejpam-6488	1	28	new	new	PROPN
ejpam-6488	1	29	york	york	PROPN
ejpam-6488	1	30	business	business	PROPN
ejpam-6488	1	31	global	global	ADJ
ejpam-6488	1	32	asymptotic	asymptotic	ADJ
ejpam-6488	1	33	solutions	solution	NOUN
ejpam-6488	1	34	to	to	ADP
ejpam-6488	1	35	a	a	DET
ejpam-6488	1	36	singularly	singularly	ADV
ejpam-6488	1	37	perturbed	perturb	VERB
ejpam-6488	1	38	partial	partial	ADJ
ejpam-6488	1	39	integro	integro	ADJ
ejpam-6488	1	40	-	-	PUNCT
ejpam-6488	1	41	differential	differential	NOUN
ejpam-6488	1	42	equation	equation	NOUN
ejpam-6488	1	43	with	with	ADP
ejpam-6488	1	44	a	a	DET
ejpam-6488	1	45	rapidly	rapidly	ADV
ejpam-6488	1	46	oscillating	oscillate	VERB
ejpam-6488	1	47	right	right	ADJ
ejpam-6488	1	48	-	-	PUNCT
ejpam-6488	1	49	hand	hand	NOUN
ejpam-6488	1	50	side	side	NOUN
ejpam-6488	1	51	muminbek	muminbek	ADJ
ejpam-6488	1	52	begaidarov1	begaidarov1	PROPN
ejpam-6488	1	53	,	,	PUNCT
ejpam-6488	1	54	dana	dana	PROPN
ejpam-6488	1	55	bibulova1	bibulova1	PROPN
ejpam-6488	1	56	,	,	PUNCT
ejpam-6488	1	57	burkhan	burkhan	PROPN
ejpam-6488	1	58	kalimbetov1,2,∗	kalimbetov1,2,∗	PROPN
ejpam-6488	1	59	1	1	NUM
ejpam-6488	1	60	department	department	NOUN
ejpam-6488	1	61	of	of	ADP
ejpam-6488	1	62	mathematics	mathematic	NOUN
ejpam-6488	1	63	,	,	PUNCT
ejpam-6488	1	64	m.	m.	NOUN
ejpam-6488	1	65	auezov	auezov	PROPN
ejpam-6488	1	66	south	south	PROPN
ejpam-6488	1	67	kazakhstan	kazakhstan	PROPN
ejpam-6488	1	68	research	research	PROPN
ejpam-6488	1	69	university	university	PROPN
ejpam-6488	1	70	,	,	PUNCT
ejpam-6488	1	71	shymkent	shymkent	PROPN
ejpam-6488	1	72	,	,	PUNCT
ejpam-6488	1	73	kazakhstan	kazakhstan	PROPN
ejpam-6488	1	74	2	2	NUM
ejpam-6488	1	75	department	department	NOUN
ejpam-6488	1	76	of	of	ADP
ejpam-6488	1	77	mathematics	mathematic	NOUN
ejpam-6488	1	78	,	,	PUNCT
ejpam-6488	1	79	a.	a.	NOUN
ejpam-6488	1	80	kuatbekov	kuatbekov	PROPN
ejpam-6488	1	81	peoples	people	NOUN
ejpam-6488	1	82	’	’	PART
ejpam-6488	1	83	friendship	friendship	NOUN
ejpam-6488	1	84	university	university	NOUN
ejpam-6488	1	85	,	,	PUNCT
ejpam-6488	1	86	shymkent	shymkent	PROPN
ejpam-6488	1	87	,	,	PUNCT
ejpam-6488	1	88	kazakhstan	kazakhstan	PROPN
ejpam-6488	1	89	abstract	abstract	NOUN
ejpam-6488	1	90	.	.	PUNCT
ejpam-6488	2	1	the	the	DET
ejpam-6488	2	2	paper	paper	NOUN
ejpam-6488	2	3	considers	consider	VERB
ejpam-6488	2	4	the	the	DET
ejpam-6488	2	5	cauchy	cauchy	ADJ
ejpam-6488	2	6	problem	problem	NOUN
ejpam-6488	2	7	for	for	ADP
ejpam-6488	2	8	a	a	DET
ejpam-6488	2	9	singularly	singularly	ADV
ejpam-6488	2	10	perturbed	perturb	VERB
ejpam-6488	2	11	integro	integro	ADJ
ejpam-6488	2	12	-	-	PUNCT
ejpam-6488	2	13	differential	differential	ADJ
ejpam-6488	2	14	partial	partial	ADJ
ejpam-6488	2	15	differential	differential	NOUN
ejpam-6488	2	16	equation	equation	NOUN
ejpam-6488	2	17	with	with	ADP
ejpam-6488	2	18	a	a	DET
ejpam-6488	2	19	rapidly	rapidly	ADV
ejpam-6488	2	20	oscillating	oscillate	VERB
ejpam-6488	2	21	right	right	ADJ
ejpam-6488	2	22	-	-	PUNCT
ejpam-6488	2	23	hand	hand	NOUN
ejpam-6488	2	24	side	side	NOUN
ejpam-6488	2	25	.	.	PUNCT
ejpam-6488	3	1	when	when	SCONJ
ejpam-6488	3	2	considering	consider	VERB
ejpam-6488	3	3	such	such	ADJ
ejpam-6488	3	4	problems	problem	NOUN
ejpam-6488	3	5	,	,	PUNCT
ejpam-6488	3	6	it	it	PRON
ejpam-6488	3	7	turned	turn	VERB
ejpam-6488	3	8	out	out	ADP
ejpam-6488	3	9	that	that	SCONJ
ejpam-6488	3	10	the	the	DET
ejpam-6488	3	11	existing	exist	VERB
ejpam-6488	3	12	technique	technique	NOUN
ejpam-6488	3	13	for	for	ADP
ejpam-6488	3	14	regularizing	regularize	VERB
ejpam-6488	3	15	singularly	singularly	ADV
ejpam-6488	3	16	perturbed	perturb	VERB
ejpam-6488	3	17	equations	equation	NOUN
ejpam-6488	3	18	is	be	AUX
ejpam-6488	3	19	not	not	PART
ejpam-6488	3	20	effective	effective	ADJ
ejpam-6488	3	21	and	and	CCONJ
ejpam-6488	3	22	requires	require	VERB
ejpam-6488	3	23	significant	significant	ADJ
ejpam-6488	3	24	rethinking	rethinking	NOUN
ejpam-6488	3	25	.	.	PUNCT
ejpam-6488	4	1	the	the	DET
ejpam-6488	4	2	development	development	NOUN
ejpam-6488	4	3	of	of	ADP
ejpam-6488	4	4	a	a	DET
ejpam-6488	4	5	new	new	ADJ
ejpam-6488	4	6	technique	technique	NOUN
ejpam-6488	4	7	for	for	ADP
ejpam-6488	4	8	constructing	construct	VERB
ejpam-6488	4	9	regularized	regularize	VERB
ejpam-6488	4	10	asymptotic	asymptotic	ADJ
ejpam-6488	4	11	solutions	solution	NOUN
ejpam-6488	4	12	for	for	ADP
ejpam-6488	4	13	integro	integro	ADJ
ejpam-6488	4	14	-	-	PUNCT
ejpam-6488	4	15	differential	differential	NOUN
ejpam-6488	4	16	equations	equation	NOUN
ejpam-6488	4	17	with	with	ADP
ejpam-6488	4	18	partial	partial	ADJ
ejpam-6488	4	19	derivatives	derivative	NOUN
ejpam-6488	4	20	and	and	CCONJ
ejpam-6488	4	21	exponential	exponential	NOUN
ejpam-6488	4	22	inhomogeneity	inhomogeneity	NOUN
ejpam-6488	4	23	constitutes	constitute	VERB
ejpam-6488	4	24	the	the	DET
ejpam-6488	4	25	main	main	ADJ
ejpam-6488	4	26	content	content	NOUN
ejpam-6488	4	27	of	of	ADP
ejpam-6488	4	28	this	this	DET
ejpam-6488	4	29	work	work	NOUN
ejpam-6488	4	30	.	.	PUNCT
ejpam-6488	5	1	the	the	DET
ejpam-6488	5	2	problem	problem	NOUN
ejpam-6488	5	3	was	be	AUX
ejpam-6488	5	4	regularized	regularize	VERB
ejpam-6488	5	5	and	and	CCONJ
ejpam-6488	5	6	the	the	DET
ejpam-6488	5	7	normal	normal	ADJ
ejpam-6488	5	8	and	and	CCONJ
ejpam-6488	5	9	unique	unique	ADJ
ejpam-6488	5	10	solvability	solvability	NOUN
ejpam-6488	5	11	of	of	ADP
ejpam-6488	5	12	general	general	ADJ
ejpam-6488	5	13	iterative	iterative	NOUN
ejpam-6488	5	14	problems	problem	NOUN
ejpam-6488	5	15	was	be	AUX
ejpam-6488	5	16	proved	prove	VERB
ejpam-6488	5	17	.	.	PUNCT
ejpam-6488	6	1	the	the	DET
ejpam-6488	6	2	asymptotic	asymptotic	ADJ
ejpam-6488	6	3	convergence	convergence	NOUN
ejpam-6488	6	4	of	of	ADP
ejpam-6488	6	5	formal	formal	ADJ
ejpam-6488	6	6	solutions	solution	NOUN
ejpam-6488	6	7	is	be	AUX
ejpam-6488	6	8	proved	prove	VERB
ejpam-6488	6	9	and	and	CCONJ
ejpam-6488	6	10	a	a	DET
ejpam-6488	6	11	solution	solution	NOUN
ejpam-6488	6	12	to	to	ADP
ejpam-6488	6	13	the	the	DET
ejpam-6488	6	14	first	first	ADJ
ejpam-6488	6	15	iterative	iterative	NOUN
ejpam-6488	6	16	problem	problem	NOUN
ejpam-6488	6	17	is	be	AUX
ejpam-6488	6	18	constructed	construct	VERB
ejpam-6488	6	19	.	.	PUNCT
ejpam-6488	7	1	2020	2020	NUM
ejpam-6488	7	2	mathematics	mathematics	PROPN
ejpam-6488	7	3	subject	subject	NOUN
ejpam-6488	7	4	classifications	classification	NOUN
ejpam-6488	7	5	:	:	PUNCT
ejpam-6488	7	6	45k05	45k05	NOUN
ejpam-6488	7	7	key	key	ADJ
ejpam-6488	7	8	words	word	NOUN
ejpam-6488	7	9	and	and	CCONJ
ejpam-6488	7	10	phrases	phrase	NOUN
ejpam-6488	7	11	:	:	PUNCT
ejpam-6488	7	12	singular	singular	ADJ
ejpam-6488	7	13	perturbation	perturbation	NOUN
ejpam-6488	7	14	,	,	PUNCT
ejpam-6488	7	15	partial	partial	ADJ
ejpam-6488	7	16	integro	integro	ADJ
ejpam-6488	7	17	-	-	PUNCT
ejpam-6488	7	18	differential	differential	NOUN
ejpam-6488	7	19	equation	equation	NOUN
ejpam-6488	7	20	,	,	PUNCT
ejpam-6488	7	21	rapidly	rapidly	ADV
ejpam-6488	7	22	oscillating	oscillate	VERB
ejpam-6488	7	23	right	right	ADJ
ejpam-6488	7	24	-	-	PUNCT
ejpam-6488	7	25	hand	hand	NOUN
ejpam-6488	7	26	side	side	NOUN
ejpam-6488	7	27	,	,	PUNCT
ejpam-6488	7	28	solvability	solvability	NOUN
ejpam-6488	7	29	of	of	ADP
ejpam-6488	7	30	iterative	iterative	NOUN
ejpam-6488	7	31	problems	problem	NOUN
ejpam-6488	7	32	,	,	PUNCT
ejpam-6488	7	33	regularization	regularization	NOUN
ejpam-6488	7	34	of	of	ADP
ejpam-6488	7	35	an	an	DET
ejpam-6488	7	36	integral	integral	ADJ
ejpam-6488	7	37	1	1	NUM
ejpam-6488	7	38	.	.	PUNCT
ejpam-6488	7	39	introduction	introduction	NOUN
ejpam-6488	7	40	in	in	ADP
ejpam-6488	7	41	the	the	DET
ejpam-6488	7	42	paper	paper	NOUN
ejpam-6488	7	43	,	,	PUNCT
ejpam-6488	7	44	we	we	PRON
ejpam-6488	7	45	consider	consider	VERB
ejpam-6488	7	46	the	the	DET
ejpam-6488	7	47	cauchy	cauchy	ADJ
ejpam-6488	7	48	problem	problem	NOUN
ejpam-6488	7	49	for	for	ADP
ejpam-6488	7	50	the	the	DET
ejpam-6488	7	51	singularly	singularly	ADV
ejpam-6488	7	52	perturbed	perturb	VERB
ejpam-6488	7	53	integrodifferential	integrodifferential	ADJ
ejpam-6488	7	54	equation	equation	NOUN
ejpam-6488	7	55	with	with	ADP
ejpam-6488	7	56	partial	partial	ADJ
ejpam-6488	7	57	derivatives	derivative	NOUN
ejpam-6488	7	58	:	:	PUNCT
ejpam-6488	7	59	ε∂y(x	ε∂y(x	NOUN
ejpam-6488	7	60	,	,	PUNCT
ejpam-6488	7	61	t	t	PROPN
ejpam-6488	7	62	,	,	PUNCT
ejpam-6488	7	63	ε)∂x	ε)∂x	PROPN
ejpam-6488	7	64	=	=	SYM
ejpam-6488	7	65	a(x)y(x	a(x)y(x	PROPN
ejpam-6488	7	66	,	,	PUNCT
ejpam-6488	7	67	t	t	PROPN
ejpam-6488	7	68	,	,	PUNCT
ejpam-6488	7	69	ε	ε	PROPN
ejpam-6488	7	70	)	)	PUNCT
ejpam-6488	8	1	+	+	CCONJ
ejpam-6488	8	2	x∫	x∫	PROPN
ejpam-6488	8	3	x0	x0	PROPN
ejpam-6488	8	4	k(x	k(x	PROPN
ejpam-6488	8	5	,	,	PUNCT
ejpam-6488	8	6	t	t	PROPN
ejpam-6488	8	7	,	,	PUNCT
ejpam-6488	8	8	s)y(s	s)y(s	PROPN
ejpam-6488	8	9	,	,	PUNCT
ejpam-6488	8	10	t	t	PROPN
ejpam-6488	8	11	,	,	PUNCT
ejpam-6488	8	12	ε)ds+	ε)ds+	X
ejpam-6488	8	13	h1(x	h1(x	NOUN
ejpam-6488	8	14	,	,	PUNCT
ejpam-6488	8	15	t)+	t)+	NOUN
ejpam-6488	8	16	+	+	PROPN
ejpam-6488	8	17	h2(x	h2(x	PROPN
ejpam-6488	8	18	,	,	PUNCT
ejpam-6488	8	19	t)e	t)e	NOUN
ejpam-6488	8	20	iβ(x	iβ(x	NOUN
ejpam-6488	8	21	)	)	PUNCT
ejpam-6488	8	22	ε	ε	PROPN
ejpam-6488	8	23	,	,	PUNCT
ejpam-6488	8	24	y(x0	y(x0	PROPN
ejpam-6488	8	25	,	,	PUNCT
ejpam-6488	8	26	t	t	PROPN
ejpam-6488	8	27	,	,	PUNCT
ejpam-6488	8	28	ε	ε	PROPN
ejpam-6488	8	29	)	)	PUNCT
ejpam-6488	8	30	=	=	SYM
ejpam-6488	9	1	y0(t	y0(t	PROPN
ejpam-6488	9	2	)	)	PUNCT
ejpam-6488	9	3	(	(	PUNCT
ejpam-6488	9	4	(	(	PUNCT
ejpam-6488	9	5	x	x	NOUN
ejpam-6488	9	6	,	,	PUNCT
ejpam-6488	9	7	t	t	PROPN
ejpam-6488	9	8	)	)	PUNCT
ejpam-6488	9	9	∈	∈	PROPN
ejpam-6488	10	1	[	[	X
ejpam-6488	10	2	x0	x0	PROPN
ejpam-6488	10	3	,	,	PUNCT
ejpam-6488	10	4	x]×	x]×	NOUN
ejpam-6488	11	1	[	[	X
ejpam-6488	11	2	0	0	NUM
ejpam-6488	11	3	,	,	PUNCT
ejpam-6488	11	4	t	t	X
ejpam-6488	11	5	]	]	PUNCT
ejpam-6488	11	6	)	)	PUNCT
ejpam-6488	11	7	(	(	PUNCT
ejpam-6488	11	8	1.1	1.1	NUM
ejpam-6488	11	9	)	)	PUNCT
ejpam-6488	11	10	where	where	SCONJ
ejpam-6488	11	11	β′(x	β′(x	X
ejpam-6488	11	12	)	)	PUNCT
ejpam-6488	11	13	>	>	X
ejpam-6488	11	14	0	0	NUM
ejpam-6488	11	15	,	,	PUNCT
ejpam-6488	11	16	a(x	a(x	PROPN
ejpam-6488	11	17	)	)	PUNCT
ejpam-6488	11	18	is	be	AUX
ejpam-6488	11	19	a	a	DET
ejpam-6488	11	20	scalar	scalar	ADJ
ejpam-6488	11	21	functions	function	NOUN
ejpam-6488	11	22	,	,	PUNCT
ejpam-6488	11	23	y0(t	y0(t	NOUN
ejpam-6488	11	24	)	)	PUNCT
ejpam-6488	11	25	constant	constant	ADJ
ejpam-6488	11	26	,	,	PUNCT
ejpam-6488	11	27	ε	ε	PROPN
ejpam-6488	11	28	>	>	X
ejpam-6488	11	29	0	0	PUNCT
ejpam-6488	11	30	is	be	AUX
ejpam-6488	11	31	a	a	DET
ejpam-6488	11	32	small	small	ADJ
ejpam-6488	11	33	parameter	parameter	NOUN
ejpam-6488	11	34	.	.	PUNCT
ejpam-6488	12	1	the	the	DET
ejpam-6488	12	2	purpose	purpose	NOUN
ejpam-6488	12	3	of	of	ADP
ejpam-6488	12	4	the	the	DET
ejpam-6488	12	5	work	work	NOUN
ejpam-6488	12	6	is	be	AUX
ejpam-6488	12	7	to	to	PART
ejpam-6488	12	8	generalize	generalize	VERB
ejpam-6488	12	9	the	the	DET
ejpam-6488	12	10	algorithm	algorithm	NOUN
ejpam-6488	12	11	of	of	ADP
ejpam-6488	12	12	the	the	DET
ejpam-6488	12	13	regularization	regularization	NOUN
ejpam-6488	12	14	method	method	NOUN
ejpam-6488	12	15	[	[	X
ejpam-6488	12	16	1	1	NUM
ejpam-6488	12	17	,	,	PUNCT
ejpam-6488	12	18	2	2	NUM
ejpam-6488	12	19	]	]	PUNCT
ejpam-6488	12	20	∗corresponding	∗corresponde	VERB
ejpam-6488	12	21	author	author	NOUN
ejpam-6488	12	22	.	.	PUNCT
ejpam-6488	13	1	doi	doi	NOUN
ejpam-6488	13	2	:	:	PUNCT
ejpam-6488	13	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6488	https://doi.org/10.29020/nybg.ejpam.v18i4.6488	NOUN
ejpam-6488	13	4	email	email	NOUN
ejpam-6488	13	5	addresses	address	NOUN
ejpam-6488	13	6	:	:	PUNCT
ejpam-6488	13	7	mr.0909@mail.ru	mr.0909@mail.ru	PROPN
ejpam-6488	13	8	(	(	PUNCT
ejpam-6488	13	9	m.	m.	NOUN
ejpam-6488	13	10	begaidarov	begaidarov	PROPN
ejpam-6488	13	11	)	)	PUNCT
ejpam-6488	13	12	,	,	PUNCT
ejpam-6488	13	13	danass86@mail.ru	danass86@mail.ru	PROPN
ejpam-6488	13	14	(	(	PUNCT
ejpam-6488	13	15	d.	d.	PROPN
ejpam-6488	13	16	bibulova	bibulova	PROPN
ejpam-6488	13	17	)	)	PUNCT
ejpam-6488	13	18	,	,	PUNCT
ejpam-6488	13	19	bkalimbetov@mail.ru	bkalimbetov@mail.ru	PROPN
ejpam-6488	13	20	(	(	PUNCT
ejpam-6488	13	21	b.	b.	PROPN
ejpam-6488	13	22	kalimbetov	kalimbetov	PROPN
ejpam-6488	13	23	)	)	PUNCT
ejpam-6488	13	24	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6488	14	1	1	1	NUM
ejpam-6488	14	2	copyright	copyright	NOUN
ejpam-6488	14	3	:	:	PUNCT
ejpam-6488	14	4	©	©	PROPN
ejpam-6488	14	5	2025	2025	NUM
ejpam-6488	14	6	the	the	DET
ejpam-6488	14	7	author(s	author(s	NOUN
ejpam-6488	14	8	)	)	PUNCT
ejpam-6488	14	9	.	.	PUNCT
ejpam-6488	15	1	(	(	PUNCT
ejpam-6488	15	2	cc	cc	NOUN
ejpam-6488	15	3	by	by	ADP
ejpam-6488	15	4	-	-	PUNCT
ejpam-6488	15	5	nc	nc	PROPN
ejpam-6488	15	6	4.0	4.0	NUM
ejpam-6488	15	7	)	)	PUNCT
ejpam-6488	15	8	m.	m.	NOUN
ejpam-6488	15	9	begaidarov	begaidarov	NOUN
ejpam-6488	15	10	,	,	PUNCT
ejpam-6488	15	11	d.	d.	PROPN
ejpam-6488	15	12	bibulova	bibulova	PROPN
ejpam-6488	15	13	,	,	PUNCT
ejpam-6488	15	14	b.	b.	PROPN
ejpam-6488	15	15	kalimbetov	kalimbetov	PROPN
ejpam-6488	15	16	/	/	SYM
ejpam-6488	15	17	eur	eur	PROPN
ejpam-6488	15	18	.	.	PUNCT
ejpam-6488	16	1	j.	j.	PROPN
ejpam-6488	16	2	pure	pure	PROPN
ejpam-6488	16	3	appl	appl	PROPN
ejpam-6488	16	4	.	.	PROPN
ejpam-6488	16	5	math	math	PROPN
ejpam-6488	16	6	,	,	PUNCT
ejpam-6488	16	7	18	18	NUM
ejpam-6488	16	8	(	(	PUNCT
ejpam-6488	16	9	4	4	NUM
ejpam-6488	16	10	)	)	PUNCT
ejpam-6488	16	11	(	(	PUNCT
ejpam-6488	16	12	2025	2025	NUM
ejpam-6488	16	13	)	)	PUNCT
ejpam-6488	16	14	,	,	PUNCT
ejpam-6488	16	15	6488	6488	NUM
ejpam-6488	16	16	2	2	NUM
ejpam-6488	16	17	of	of	ADP
ejpam-6488	16	18	20	20	NUM
ejpam-6488	16	19	on	on	ADP
ejpam-6488	16	20	problems	problem	NOUN
ejpam-6488	16	21	of	of	ADP
ejpam-6488	16	22	type	type	NOUN
ejpam-6488	16	23	(	(	PUNCT
ejpam-6488	16	24	1.1	1.1	NUM
ejpam-6488	16	25	)	)	PUNCT
ejpam-6488	16	26	and	and	CCONJ
ejpam-6488	16	27	analysis	analysis	NOUN
ejpam-6488	16	28	of	of	ADP
ejpam-6488	16	29	singularities	singularity	NOUN
ejpam-6488	16	30	in	in	ADP
ejpam-6488	16	31	the	the	DET
ejpam-6488	16	32	solution	solution	NOUN
ejpam-6488	16	33	y(t	y(t	PROPN
ejpam-6488	16	34	,	,	PUNCT
ejpam-6488	16	35	ε	ε	PROPN
ejpam-6488	16	36	)	)	PUNCT
ejpam-6488	16	37	,	,	PUNCT
ejpam-6488	16	38	introduced	introduce	VERB
ejpam-6488	16	39	by	by	ADP
ejpam-6488	16	40	the	the	DET
ejpam-6488	16	41	integral	integral	ADJ
ejpam-6488	16	42	operator	operator	NOUN
ejpam-6488	16	43	t∫	t∫	NOUN
ejpam-6488	16	44	0	0	NUM
ejpam-6488	16	45	k(x	k(x	PROPN
ejpam-6488	16	46	,	,	PUNCT
ejpam-6488	16	47	t	t	PROPN
ejpam-6488	16	48	,	,	PUNCT
ejpam-6488	16	49	s)y(s	s)y(s	PROPN
ejpam-6488	16	50	,	,	PUNCT
ejpam-6488	16	51	t	t	PROPN
ejpam-6488	16	52	,	,	PUNCT
ejpam-6488	16	53	ε)ds	ε)ds	PROPN
ejpam-6488	16	54	and	and	CCONJ
ejpam-6488	16	55	the	the	DET
ejpam-6488	16	56	rapidly	rapidly	ADV
ejpam-6488	16	57	oscillating	oscillate	VERB
ejpam-6488	16	58	inhomogeneity	inhomogeneity	NOUN
ejpam-6488	16	59	h2(x	h2(x	PROPN
ejpam-6488	16	60	,	,	PUNCT
ejpam-6488	16	61	t)e	t)e	NOUN
ejpam-6488	16	62	iβ(x	iβ(x	NOUN
ejpam-6488	16	63	)	)	PUNCT
ejpam-6488	16	64	ε	ε	PROPN
ejpam-6488	16	65	.	.	PUNCT
ejpam-6488	17	1	for	for	ADP
ejpam-6488	17	2	the	the	DET
ejpam-6488	17	3	sake	sake	NOUN
ejpam-6488	17	4	of	of	ADP
ejpam-6488	17	5	simplicity	simplicity	NOUN
ejpam-6488	17	6	,	,	PUNCT
ejpam-6488	17	7	a	a	DET
ejpam-6488	17	8	scalar	scalar	ADJ
ejpam-6488	17	9	version	version	NOUN
ejpam-6488	17	10	of	of	ADP
ejpam-6488	17	11	this	this	DET
ejpam-6488	17	12	problem	problem	NOUN
ejpam-6488	17	13	is	be	AUX
ejpam-6488	17	14	studied	study	VERB
ejpam-6488	17	15	.	.	PUNCT
ejpam-6488	18	1	lomov	lomov	PROPN
ejpam-6488	18	2	’s	’s	PART
ejpam-6488	18	3	regularization	regularization	NOUN
ejpam-6488	18	4	method	method	NOUN
ejpam-6488	18	5	[	[	X
ejpam-6488	18	6	1	1	NUM
ejpam-6488	18	7	,	,	PUNCT
ejpam-6488	18	8	2	2	NUM
ejpam-6488	18	9	]	]	PUNCT
ejpam-6488	18	10	was	be	AUX
ejpam-6488	18	11	developed	develop	VERB
ejpam-6488	18	12	to	to	PART
ejpam-6488	18	13	construct	construct	VERB
ejpam-6488	18	14	regularized	regularize	VERB
ejpam-6488	18	15	asymptotic	asymptotic	ADJ
ejpam-6488	18	16	solutions	solution	NOUN
ejpam-6488	18	17	of	of	ADP
ejpam-6488	18	18	ordinary	ordinary	ADJ
ejpam-6488	18	19	differential	differential	ADJ
ejpam-6488	18	20	equations	equation	NOUN
ejpam-6488	18	21	in	in	ADP
ejpam-6488	18	22	the	the	DET
ejpam-6488	18	23	case	case	NOUN
ejpam-6488	18	24	of	of	ADP
ejpam-6488	18	25	stability	stability	NOUN
ejpam-6488	18	26	of	of	ADP
ejpam-6488	18	27	the	the	DET
ejpam-6488	18	28	spectrum	spectrum	NOUN
ejpam-6488	18	29	of	of	ADP
ejpam-6488	18	30	the	the	DET
ejpam-6488	18	31	limit	limit	NOUN
ejpam-6488	18	32	operator	operator	NOUN
ejpam-6488	18	33	.	.	PUNCT
ejpam-6488	19	1	problems	problem	NOUN
ejpam-6488	19	2	devoted	devote	VERB
ejpam-6488	19	3	to	to	ADP
ejpam-6488	19	4	the	the	DET
ejpam-6488	19	5	construction	construction	NOUN
ejpam-6488	19	6	of	of	ADP
ejpam-6488	19	7	regularized	regularize	VERB
ejpam-6488	19	8	asymptotic	asymptotic	ADJ
ejpam-6488	19	9	solutions	solution	NOUN
ejpam-6488	19	10	of	of	ADP
ejpam-6488	19	11	cauchy	cauchy	ADJ
ejpam-6488	19	12	problems	problem	NOUN
ejpam-6488	19	13	in	in	ADP
ejpam-6488	19	14	the	the	DET
ejpam-6488	19	15	presence	presence	NOUN
ejpam-6488	19	16	of	of	ADP
ejpam-6488	19	17	weak	weak	ADJ
ejpam-6488	19	18	turning	turning	NOUN
ejpam-6488	19	19	points	point	NOUN
ejpam-6488	19	20	of	of	ADP
ejpam-6488	19	21	the	the	DET
ejpam-6488	19	22	limit	limit	NOUN
ejpam-6488	19	23	operator	operator	NOUN
ejpam-6488	19	24	are	be	AUX
ejpam-6488	19	25	considered	consider	VERB
ejpam-6488	19	26	in	in	ADP
ejpam-6488	19	27	the	the	DET
ejpam-6488	19	28	works	work	NOUN
ejpam-6488	19	29	of	of	ADP
ejpam-6488	19	30	[	[	X
ejpam-6488	19	31	3–5	3–5	NOUN
ejpam-6488	19	32	]	]	PUNCT
ejpam-6488	19	33	,	,	PUNCT
ejpam-6488	19	34	initialization	initialization	NOUN
ejpam-6488	19	35	in	in	ADP
ejpam-6488	19	36	the	the	DET
ejpam-6488	19	37	work	work	NOUN
ejpam-6488	19	38	of	of	ADP
ejpam-6488	19	39	[	[	X
ejpam-6488	19	40	6	6	NUM
ejpam-6488	19	41	]	]	PUNCT
ejpam-6488	19	42	.	.	PUNCT
ejpam-6488	20	1	the	the	DET
ejpam-6488	20	2	works	work	NOUN
ejpam-6488	20	3	of	of	ADP
ejpam-6488	20	4	[	[	X
ejpam-6488	20	5	7	7	NUM
ejpam-6488	20	6	]	]	PUNCT
ejpam-6488	20	7	considered	consider	VERB
ejpam-6488	20	8	the	the	DET
ejpam-6488	20	9	problems	problem	NOUN
ejpam-6488	20	10	of	of	ADP
ejpam-6488	20	11	constructing	construct	VERB
ejpam-6488	20	12	a	a	DET
ejpam-6488	20	13	regularized	regularize	VERB
ejpam-6488	20	14	asymptotic	asymptotic	ADJ
ejpam-6488	20	15	solution	solution	NOUN
ejpam-6488	20	16	to	to	ADP
ejpam-6488	20	17	a	a	DET
ejpam-6488	20	18	nonlinear	nonlinear	ADJ
ejpam-6488	20	19	differential	differential	ADJ
ejpam-6488	20	20	equation	equation	NOUN
ejpam-6488	20	21	in	in	ADP
ejpam-6488	20	22	a	a	DET
ejpam-6488	20	23	banach	banach	NOUN
ejpam-6488	20	24	space	space	NOUN
ejpam-6488	20	25	and	and	CCONJ
ejpam-6488	20	26	the	the	DET
ejpam-6488	20	27	analytical	analytical	ADJ
ejpam-6488	20	28	aspects	aspect	NOUN
ejpam-6488	20	29	of	of	ADP
ejpam-6488	20	30	the	the	DET
ejpam-6488	20	31	theory	theory	NOUN
ejpam-6488	20	32	of	of	ADP
ejpam-6488	20	33	tikhonov	tikhonov	NOUN
ejpam-6488	20	34	systems	system	NOUN
ejpam-6488	20	35	[	[	X
ejpam-6488	20	36	8	8	NUM
ejpam-6488	20	37	]	]	PUNCT
ejpam-6488	20	38	.	.	PUNCT
ejpam-6488	21	1	singularly	singularly	ADV
ejpam-6488	21	2	perturbed	perturb	VERB
ejpam-6488	21	3	ordinary	ordinary	ADJ
ejpam-6488	21	4	differential	differential	ADJ
ejpam-6488	21	5	equations	equation	NOUN
ejpam-6488	21	6	with	with	ADP
ejpam-6488	21	7	rapidly	rapidly	ADV
ejpam-6488	21	8	oscillating	oscillate	VERB
ejpam-6488	21	9	coefficients	coefficient	NOUN
ejpam-6488	21	10	from	from	ADP
ejpam-6488	21	11	the	the	DET
ejpam-6488	21	12	perspective	perspective	NOUN
ejpam-6488	21	13	of	of	ADP
ejpam-6488	21	14	the	the	DET
ejpam-6488	21	15	regularization	regularization	NOUN
ejpam-6488	21	16	method	method	NOUN
ejpam-6488	21	17	were	be	AUX
ejpam-6488	21	18	carried	carry	VERB
ejpam-6488	21	19	out	out	ADP
ejpam-6488	21	20	in	in	ADP
ejpam-6488	21	21	the	the	DET
ejpam-6488	21	22	work	work	NOUN
ejpam-6488	21	23	of	of	ADP
ejpam-6488	21	24	[	[	X
ejpam-6488	21	25	9	9	NUM
ejpam-6488	21	26	]	]	PUNCT
ejpam-6488	21	27	.	.	PUNCT
ejpam-6488	22	1	the	the	DET
ejpam-6488	22	2	justification	justification	NOUN
ejpam-6488	22	3	of	of	ADP
ejpam-6488	22	4	the	the	DET
ejpam-6488	22	5	regularization	regularization	NOUN
ejpam-6488	22	6	method	method	NOUN
ejpam-6488	22	7	for	for	ADP
ejpam-6488	22	8	linear	linear	ADJ
ejpam-6488	22	9	and	and	CCONJ
ejpam-6488	22	10	nonlinear	nonlinear	ADJ
ejpam-6488	22	11	integro	integro	ADJ
ejpam-6488	22	12	-	-	PUNCT
ejpam-6488	22	13	differential	differential	NOUN
ejpam-6488	22	14	equations	equation	NOUN
ejpam-6488	22	15	with	with	ADP
ejpam-6488	22	16	a	a	DET
ejpam-6488	22	17	zero	zero	NUM
ejpam-6488	22	18	operator	operator	NOUN
ejpam-6488	22	19	of	of	ADP
ejpam-6488	22	20	the	the	DET
ejpam-6488	22	21	differential	differential	ADJ
ejpam-6488	22	22	part	part	NOUN
ejpam-6488	22	23	was	be	AUX
ejpam-6488	22	24	studied	study	VERB
ejpam-6488	22	25	in	in	ADP
ejpam-6488	22	26	the	the	DET
ejpam-6488	22	27	works	work	NOUN
ejpam-6488	22	28	of	of	ADP
ejpam-6488	22	29	[	[	X
ejpam-6488	22	30	10	10	NUM
ejpam-6488	22	31	,	,	PUNCT
ejpam-6488	22	32	11	11	NUM
ejpam-6488	22	33	]	]	PUNCT
ejpam-6488	22	34	.	.	PUNCT
ejpam-6488	23	1	singularly	singularly	ADV
ejpam-6488	23	2	perturbed	perturb	VERB
ejpam-6488	23	3	integro	integro	ADJ
ejpam-6488	23	4	-	-	PUNCT
ejpam-6488	23	5	differential	differential	NOUN
ejpam-6488	23	6	equations	equation	NOUN
ejpam-6488	23	7	with	with	ADP
ejpam-6488	23	8	rapidly	rapidly	ADV
ejpam-6488	23	9	oscillating	oscillate	VERB
ejpam-6488	23	10	coefficients	coefficient	NOUN
ejpam-6488	23	11	and	and	CCONJ
ejpam-6488	23	12	rapidly	rapidly	ADV
ejpam-6488	23	13	changing	change	VERB
ejpam-6488	23	14	kernels	kernel	NOUN
ejpam-6488	23	15	in	in	ADP
ejpam-6488	23	16	the	the	DET
ejpam-6488	23	17	case	case	NOUN
ejpam-6488	23	18	of	of	ADP
ejpam-6488	23	19	a	a	DET
ejpam-6488	23	20	multiple	multiple	ADJ
ejpam-6488	23	21	spectrum	spectrum	NOUN
ejpam-6488	23	22	were	be	AUX
ejpam-6488	23	23	considered	consider	VERB
ejpam-6488	23	24	in	in	ADP
ejpam-6488	23	25	the	the	DET
ejpam-6488	23	26	studies	study	NOUN
ejpam-6488	23	27	of	of	ADP
ejpam-6488	23	28	[	[	X
ejpam-6488	23	29	12–14	12–14	NUM
ejpam-6488	23	30	]	]	PUNCT
ejpam-6488	23	31	,	,	PUNCT
ejpam-6488	23	32	with	with	ADP
ejpam-6488	23	33	rapidly	rapidly	ADV
ejpam-6488	23	34	oscillating	oscillate	VERB
ejpam-6488	23	35	coefficients	coefficient	NOUN
ejpam-6488	23	36	and	and	CCONJ
ejpam-6488	23	37	with	with	ADP
ejpam-6488	23	38	rapidly	rapidly	ADV
ejpam-6488	23	39	oscillating	oscillate	VERB
ejpam-6488	23	40	inhomogeneities	inhomogeneity	NOUN
ejpam-6488	23	41	in	in	ADP
ejpam-6488	23	42	the	the	DET
ejpam-6488	23	43	works	work	NOUN
ejpam-6488	23	44	of	of	ADP
ejpam-6488	23	45	[	[	X
ejpam-6488	23	46	15–21	15–21	NUM
ejpam-6488	23	47	]	]	X
ejpam-6488	23	48	.	.	PUNCT
ejpam-6488	24	1	the	the	DET
ejpam-6488	24	2	fredholm	fredholm	ADJ
ejpam-6488	24	3	integro	integro	ADJ
ejpam-6488	24	4	-	-	PUNCT
ejpam-6488	24	5	differential	differential	NOUN
ejpam-6488	24	6	equation	equation	NOUN
ejpam-6488	24	7	with	with	ADP
ejpam-6488	24	8	a	a	DET
ejpam-6488	24	9	rapidly	rapidly	ADV
ejpam-6488	24	10	decreasing	decrease	VERB
ejpam-6488	24	11	kernel	kernel	NOUN
ejpam-6488	24	12	and	and	CCONJ
ejpam-6488	24	13	an	an	DET
ejpam-6488	24	14	exponentially	exponentially	ADV
ejpam-6488	24	15	oscillating	oscillate	VERB
ejpam-6488	24	16	inhomogeneity	inhomogeneity	NOUN
ejpam-6488	24	17	was	be	AUX
ejpam-6488	24	18	studied	study	VERB
ejpam-6488	24	19	in	in	ADP
ejpam-6488	24	20	the	the	DET
ejpam-6488	24	21	work	work	NOUN
ejpam-6488	24	22	of	of	ADP
ejpam-6488	24	23	[	[	X
ejpam-6488	24	24	22	22	NUM
ejpam-6488	24	25	]	]	PUNCT
ejpam-6488	24	26	.	.	PUNCT
ejpam-6488	25	1	the	the	DET
ejpam-6488	25	2	integro	integro	ADJ
ejpam-6488	25	3	-	-	PUNCT
ejpam-6488	25	4	differential	differential	NOUN
ejpam-6488	25	5	cauchy	cauchy	NOUN
ejpam-6488	25	6	problem	problem	NOUN
ejpam-6488	25	7	with	with	ADP
ejpam-6488	25	8	exponential	exponential	NOUN
ejpam-6488	25	9	inhomogeneity	inhomogeneity	NOUN
ejpam-6488	25	10	and	and	CCONJ
ejpam-6488	25	11	with	with	ADP
ejpam-6488	25	12	a	a	DET
ejpam-6488	25	13	spectral	spectral	ADJ
ejpam-6488	25	14	value	value	NOUN
ejpam-6488	25	15	that	that	PRON
ejpam-6488	25	16	vanishes	vanish	VERB
ejpam-6488	25	17	at	at	ADP
ejpam-6488	25	18	an	an	DET
ejpam-6488	25	19	isolated	isolated	ADJ
ejpam-6488	25	20	point	point	NOUN
ejpam-6488	25	21	on	on	ADP
ejpam-6488	25	22	a	a	DET
ejpam-6488	25	23	segment	segment	NOUN
ejpam-6488	25	24	of	of	ADP
ejpam-6488	25	25	an	an	DET
ejpam-6488	25	26	independent	independent	ADJ
ejpam-6488	25	27	variable	variable	NOUN
ejpam-6488	25	28	is	be	AUX
ejpam-6488	25	29	considered	consider	VERB
ejpam-6488	25	30	in	in	ADP
ejpam-6488	25	31	the	the	DET
ejpam-6488	25	32	work	work	NOUN
ejpam-6488	25	33	of	of	ADP
ejpam-6488	25	34	[	[	X
ejpam-6488	25	35	23	23	NUM
ejpam-6488	25	36	]	]	PUNCT
ejpam-6488	25	37	.	.	PUNCT
ejpam-6488	26	1	the	the	DET
ejpam-6488	26	2	problem	problem	NOUN
ejpam-6488	26	3	belongs	belong	VERB
ejpam-6488	26	4	to	to	ADP
ejpam-6488	26	5	the	the	DET
ejpam-6488	26	6	class	class	NOUN
ejpam-6488	26	7	of	of	ADP
ejpam-6488	26	8	singularly	singularly	ADV
ejpam-6488	26	9	perturbed	perturb	VERB
ejpam-6488	26	10	equations	equation	NOUN
ejpam-6488	26	11	with	with	ADP
ejpam-6488	26	12	an	an	DET
ejpam-6488	26	13	unstable	unstable	ADJ
ejpam-6488	26	14	spectrum	spectrum	NOUN
ejpam-6488	26	15	and	and	CCONJ
ejpam-6488	26	16	has	have	AUX
ejpam-6488	26	17	not	not	PART
ejpam-6488	26	18	been	be	AUX
ejpam-6488	26	19	considered	consider	VERB
ejpam-6488	26	20	previously	previously	ADV
ejpam-6488	26	21	in	in	ADP
ejpam-6488	26	22	the	the	DET
ejpam-6488	26	23	presence	presence	NOUN
ejpam-6488	26	24	of	of	ADP
ejpam-6488	26	25	an	an	DET
ejpam-6488	26	26	integral	integral	ADJ
ejpam-6488	26	27	operator	operator	NOUN
ejpam-6488	26	28	.	.	PUNCT
ejpam-6488	27	1	it	it	PRON
ejpam-6488	27	2	is	be	AUX
ejpam-6488	27	3	especially	especially	ADV
ejpam-6488	27	4	difficult	difficult	ADJ
ejpam-6488	27	5	to	to	PART
ejpam-6488	27	6	study	study	VERB
ejpam-6488	27	7	it	it	PRON
ejpam-6488	27	8	in	in	ADP
ejpam-6488	27	9	the	the	DET
ejpam-6488	27	10	vicinity	vicinity	NOUN
ejpam-6488	27	11	of	of	ADP
ejpam-6488	27	12	zero	zero	NUM
ejpam-6488	27	13	spectral	spectral	ADJ
ejpam-6488	27	14	value	value	NOUN
ejpam-6488	27	15	of	of	ADP
ejpam-6488	27	16	the	the	DET
ejpam-6488	27	17	inhomogeneity	inhomogeneity	NOUN
ejpam-6488	27	18	.	.	PUNCT
ejpam-6488	28	1	in	in	ADP
ejpam-6488	28	2	this	this	DET
ejpam-6488	28	3	case	case	NOUN
ejpam-6488	28	4	,	,	PUNCT
ejpam-6488	28	5	it	it	PRON
ejpam-6488	28	6	is	be	AUX
ejpam-6488	28	7	not	not	PART
ejpam-6488	28	8	possible	possible	ADJ
ejpam-6488	28	9	to	to	PART
ejpam-6488	28	10	apply	apply	VERB
ejpam-6488	28	11	the	the	DET
ejpam-6488	28	12	well	well	ADV
ejpam-6488	28	13	-	-	PUNCT
ejpam-6488	28	14	known	know	VERB
ejpam-6488	28	15	procedure	procedure	NOUN
ejpam-6488	28	16	of	of	ADP
ejpam-6488	28	17	the	the	DET
ejpam-6488	28	18	lomov	lomov	ADJ
ejpam-6488	28	19	regularization	regularization	NOUN
ejpam-6488	28	20	method	method	NOUN
ejpam-6488	28	21	,	,	PUNCT
ejpam-6488	28	22	so	so	SCONJ
ejpam-6488	28	23	the	the	DET
ejpam-6488	28	24	researchers	researcher	NOUN
ejpam-6488	28	25	chose	choose	VERB
ejpam-6488	28	26	a	a	DET
ejpam-6488	28	27	method	method	NOUN
ejpam-6488	28	28	for	for	ADP
ejpam-6488	28	29	constructing	construct	VERB
ejpam-6488	28	30	the	the	DET
ejpam-6488	28	31	asymptotics	asymptotic	NOUN
ejpam-6488	28	32	of	of	ADP
ejpam-6488	28	33	the	the	DET
ejpam-6488	28	34	solution	solution	NOUN
ejpam-6488	28	35	to	to	ADP
ejpam-6488	28	36	the	the	DET
ejpam-6488	28	37	original	original	ADJ
ejpam-6488	28	38	problem	problem	NOUN
ejpam-6488	28	39	,	,	PUNCT
ejpam-6488	28	40	based	base	VERB
ejpam-6488	28	41	on	on	ADP
ejpam-6488	28	42	the	the	DET
ejpam-6488	28	43	use	use	NOUN
ejpam-6488	28	44	of	of	ADP
ejpam-6488	28	45	the	the	DET
ejpam-6488	28	46	regularized	regularize	VERB
ejpam-6488	28	47	asymptotics	asymptotic	NOUN
ejpam-6488	28	48	of	of	ADP
ejpam-6488	28	49	the	the	DET
ejpam-6488	28	50	fundamental	fundamental	ADJ
ejpam-6488	28	51	solution	solution	NOUN
ejpam-6488	28	52	of	of	ADP
ejpam-6488	28	53	the	the	DET
ejpam-6488	28	54	corresponding	corresponding	ADJ
ejpam-6488	28	55	homogeneous	homogeneous	ADJ
ejpam-6488	28	56	equation	equation	NOUN
ejpam-6488	28	57	,	,	PUNCT
ejpam-6488	28	58	the	the	DET
ejpam-6488	28	59	construction	construction	NOUN
ejpam-6488	28	60	of	of	ADP
ejpam-6488	28	61	which	which	PRON
ejpam-6488	28	62	from	from	ADP
ejpam-6488	28	63	the	the	DET
ejpam-6488	28	64	standpoint	standpoint	NOUN
ejpam-6488	28	65	of	of	ADP
ejpam-6488	28	66	the	the	DET
ejpam-6488	28	67	regularization	regularization	NOUN
ejpam-6488	28	68	method	method	NOUN
ejpam-6488	28	69	has	have	AUX
ejpam-6488	28	70	not	not	PART
ejpam-6488	28	71	been	be	AUX
ejpam-6488	28	72	considered	consider	VERB
ejpam-6488	28	73	until	until	ADP
ejpam-6488	28	74	now	now	ADV
ejpam-6488	28	75	.	.	PUNCT
ejpam-6488	29	1	it	it	PRON
ejpam-6488	29	2	should	should	AUX
ejpam-6488	29	3	be	be	AUX
ejpam-6488	29	4	noted	note	VERB
ejpam-6488	29	5	that	that	SCONJ
ejpam-6488	29	6	singularly	singularly	ADV
ejpam-6488	29	7	perturbed	perturb	VERB
ejpam-6488	29	8	differential	differential	ADJ
ejpam-6488	29	9	and	and	CCONJ
ejpam-6488	29	10	integro	integro	ADJ
ejpam-6488	29	11	-	-	PUNCT
ejpam-6488	29	12	differential	differential	NOUN
ejpam-6488	29	13	equations	equation	NOUN
ejpam-6488	29	14	with	with	ADP
ejpam-6488	29	15	fractional	fractional	ADJ
ejpam-6488	29	16	derivatives	derivative	NOUN
ejpam-6488	29	17	in	in	ADP
ejpam-6488	29	18	the	the	DET
ejpam-6488	29	19	absence	absence	NOUN
ejpam-6488	29	20	and	and	CCONJ
ejpam-6488	29	21	presence	presence	NOUN
ejpam-6488	29	22	of	of	ADP
ejpam-6488	29	23	rapidly	rapidly	ADV
ejpam-6488	29	24	oscillating	oscillate	VERB
ejpam-6488	29	25	components	component	NOUN
ejpam-6488	29	26	were	be	AUX
ejpam-6488	29	27	considered	consider	VERB
ejpam-6488	29	28	in	in	ADP
ejpam-6488	29	29	works	work	NOUN
ejpam-6488	29	30	[	[	X
ejpam-6488	29	31	24–28	24–28	NUM
ejpam-6488	29	32	]	]	PUNCT
ejpam-6488	29	33	.	.	PUNCT
ejpam-6488	30	1	in	in	ADP
ejpam-6488	30	2	these	these	DET
ejpam-6488	30	3	works	work	NOUN
ejpam-6488	30	4	,	,	PUNCT
ejpam-6488	30	5	the	the	DET
ejpam-6488	30	6	ideas	idea	NOUN
ejpam-6488	30	7	of	of	ADP
ejpam-6488	30	8	the	the	DET
ejpam-6488	30	9	regularization	regularization	NOUN
ejpam-6488	30	10	method	method	NOUN
ejpam-6488	30	11	were	be	AUX
ejpam-6488	30	12	generalized	generalize	VERB
ejpam-6488	30	13	for	for	ADP
ejpam-6488	30	14	equations	equation	NOUN
ejpam-6488	30	15	with	with	ADP
ejpam-6488	30	16	fractional	fractional	ADJ
ejpam-6488	30	17	derivatives	derivative	NOUN
ejpam-6488	30	18	,	,	PUNCT
ejpam-6488	30	19	regularized	regularize	VERB
ejpam-6488	30	20	asymptotic	asymptotic	ADJ
ejpam-6488	30	21	solutions	solution	NOUN
ejpam-6488	30	22	of	of	ADP
ejpam-6488	30	23	problems	problem	NOUN
ejpam-6488	30	24	were	be	AUX
ejpam-6488	30	25	constructed	construct	VERB
ejpam-6488	30	26	,	,	PUNCT
ejpam-6488	30	27	and	and	CCONJ
ejpam-6488	30	28	the	the	DET
ejpam-6488	30	29	influence	influence	NOUN
ejpam-6488	30	30	of	of	ADP
ejpam-6488	30	31	rapidly	rapidly	ADV
ejpam-6488	30	32	oscillating	oscillate	VERB
ejpam-6488	30	33	coefficients	coefficient	NOUN
ejpam-6488	30	34	on	on	ADP
ejpam-6488	30	35	the	the	DET
ejpam-6488	30	36	leading	lead	VERB
ejpam-6488	30	37	term	term	NOUN
ejpam-6488	30	38	of	of	ADP
ejpam-6488	30	39	the	the	DET
ejpam-6488	30	40	asymptotics	asymptotic	NOUN
ejpam-6488	30	41	was	be	AUX
ejpam-6488	30	42	studied	study	VERB
ejpam-6488	30	43	.	.	PUNCT
ejpam-6488	31	1	for	for	ADP
ejpam-6488	31	2	the	the	DET
ejpam-6488	31	3	first	first	ADJ
ejpam-6488	31	4	time	time	NOUN
ejpam-6488	31	5	,	,	PUNCT
ejpam-6488	31	6	singularly	singularly	ADV
ejpam-6488	31	7	perturbed	perturb	VERB
ejpam-6488	31	8	partial	partial	ADJ
ejpam-6488	31	9	integro	integro	ADJ
ejpam-6488	31	10	-	-	PUNCT
ejpam-6488	31	11	differential	differential	NOUN
ejpam-6488	31	12	equations	equation	NOUN
ejpam-6488	31	13	from	from	ADP
ejpam-6488	31	14	the	the	DET
ejpam-6488	31	15	standpoint	standpoint	NOUN
ejpam-6488	31	16	of	of	ADP
ejpam-6488	31	17	the	the	DET
ejpam-6488	31	18	lomov	lomov	ADJ
ejpam-6488	31	19	regularization	regularization	NOUN
ejpam-6488	31	20	method	method	NOUN
ejpam-6488	31	21	[	[	X
ejpam-6488	31	22	1	1	NUM
ejpam-6488	31	23	]	]	PUNCT
ejpam-6488	31	24	were	be	AUX
ejpam-6488	31	25	studied	study	VERB
ejpam-6488	31	26	in	in	ADP
ejpam-6488	31	27	the	the	DET
ejpam-6488	31	28	works	work	NOUN
ejpam-6488	31	29	of	of	ADP
ejpam-6488	31	30	[	[	X
ejpam-6488	31	31	29	29	NUM
ejpam-6488	31	32	,	,	PUNCT
ejpam-6488	31	33	30	30	NUM
ejpam-6488	31	34	]	]	PUNCT
ejpam-6488	31	35	.	.	PUNCT
ejpam-6488	32	1	first	first	ADV
ejpam-6488	32	2	,	,	PUNCT
ejpam-6488	32	3	a	a	DET
ejpam-6488	32	4	system	system	NOUN
ejpam-6488	32	5	of	of	ADP
ejpam-6488	32	6	integro	integro	ADJ
ejpam-6488	32	7	-	-	PUNCT
ejpam-6488	32	8	differential	differential	ADJ
ejpam-6488	32	9	partial	partial	ADJ
ejpam-6488	32	10	differential	differential	NOUN
ejpam-6488	32	11	equations	equation	NOUN
ejpam-6488	32	12	with	with	ADP
ejpam-6488	32	13	slowly	slowly	ADV
ejpam-6488	32	14	varying	vary	VERB
ejpam-6488	32	15	kernels	kernel	NOUN
ejpam-6488	32	16	is	be	AUX
ejpam-6488	32	17	considered	consider	VERB
ejpam-6488	32	18	.	.	PUNCT
ejpam-6488	33	1	it	it	PRON
ejpam-6488	33	2	turned	turn	VERB
ejpam-6488	33	3	out	out	ADP
ejpam-6488	33	4	that	that	SCONJ
ejpam-6488	33	5	the	the	DET
ejpam-6488	33	6	regularization	regularization	NOUN
ejpam-6488	33	7	procedure	procedure	NOUN
ejpam-6488	33	8	significantly	significantly	ADV
ejpam-6488	33	9	depends	depend	VERB
ejpam-6488	33	10	m.	m.	NOUN
ejpam-6488	33	11	begaidarov	begaidarov	PROPN
ejpam-6488	33	12	,	,	PUNCT
ejpam-6488	33	13	d.	d.	PROPN
ejpam-6488	33	14	bibulova	bibulova	PROPN
ejpam-6488	33	15	,	,	PUNCT
ejpam-6488	33	16	b.	b.	PROPN
ejpam-6488	33	17	kalimbetov	kalimbetov	PROPN
ejpam-6488	33	18	/	/	SYM
ejpam-6488	33	19	eur	eur	PROPN
ejpam-6488	33	20	.	.	PUNCT
ejpam-6488	34	1	j.	j.	PROPN
ejpam-6488	34	2	pure	pure	PROPN
ejpam-6488	34	3	appl	appl	PROPN
ejpam-6488	34	4	.	.	PROPN
ejpam-6488	34	5	math	math	PROPN
ejpam-6488	34	6	,	,	PUNCT
ejpam-6488	34	7	18	18	NUM
ejpam-6488	34	8	(	(	PUNCT
ejpam-6488	34	9	4	4	NUM
ejpam-6488	34	10	)	)	PUNCT
ejpam-6488	34	11	(	(	PUNCT
ejpam-6488	34	12	2025	2025	NUM
ejpam-6488	34	13	)	)	PUNCT
ejpam-6488	34	14	,	,	PUNCT
ejpam-6488	34	15	6488	6488	NUM
ejpam-6488	34	16	3	3	NUM
ejpam-6488	34	17	of	of	ADP
ejpam-6488	34	18	20	20	NUM
ejpam-6488	34	19	on	on	ADP
ejpam-6488	34	20	the	the	DET
ejpam-6488	34	21	type	type	NOUN
ejpam-6488	34	22	of	of	ADP
ejpam-6488	34	23	integral	integral	ADJ
ejpam-6488	34	24	operator	operator	NOUN
ejpam-6488	34	25	.	.	PUNCT
ejpam-6488	35	1	it	it	PRON
ejpam-6488	35	2	turns	turn	VERB
ejpam-6488	35	3	out	out	ADP
ejpam-6488	35	4	that	that	SCONJ
ejpam-6488	35	5	the	the	DET
ejpam-6488	35	6	most	most	ADV
ejpam-6488	35	7	difficult	difficult	ADJ
ejpam-6488	35	8	case	case	NOUN
ejpam-6488	35	9	is	be	AUX
ejpam-6488	35	10	when	when	SCONJ
ejpam-6488	35	11	the	the	DET
ejpam-6488	35	12	upper	upper	ADJ
ejpam-6488	35	13	limit	limit	NOUN
ejpam-6488	35	14	of	of	ADP
ejpam-6488	35	15	the	the	DET
ejpam-6488	35	16	integral	integral	NOUN
ejpam-6488	35	17	is	be	AUX
ejpam-6488	35	18	not	not	PART
ejpam-6488	35	19	a	a	DET
ejpam-6488	35	20	differentiation	differentiation	NOUN
ejpam-6488	35	21	variable	variable	NOUN
ejpam-6488	35	22	.	.	PUNCT
ejpam-6488	36	1	the	the	DET
ejpam-6488	36	2	case	case	NOUN
ejpam-6488	36	3	is	be	AUX
ejpam-6488	36	4	studied	study	VERB
ejpam-6488	36	5	when	when	SCONJ
ejpam-6488	36	6	the	the	DET
ejpam-6488	36	7	upper	upper	ADJ
ejpam-6488	36	8	limit	limit	NOUN
ejpam-6488	36	9	of	of	ADP
ejpam-6488	36	10	the	the	DET
ejpam-6488	36	11	integral	integral	ADJ
ejpam-6488	36	12	operator	operator	NOUN
ejpam-6488	36	13	coincides	coincide	VERB
ejpam-6488	36	14	with	with	ADP
ejpam-6488	36	15	the	the	DET
ejpam-6488	36	16	differentiation	differentiation	NOUN
ejpam-6488	36	17	variable	variable	NOUN
ejpam-6488	36	18	.	.	PUNCT
ejpam-6488	37	1	next	next	ADV
ejpam-6488	37	2	,	,	PUNCT
ejpam-6488	37	3	we	we	PRON
ejpam-6488	37	4	consider	consider	VERB
ejpam-6488	37	5	a	a	DET
ejpam-6488	37	6	system	system	NOUN
ejpam-6488	37	7	of	of	ADP
ejpam-6488	37	8	integro	integro	ADJ
ejpam-6488	37	9	-	-	PUNCT
ejpam-6488	37	10	differential	differential	ADJ
ejpam-6488	37	11	partial	partial	ADJ
ejpam-6488	37	12	differential	differential	NOUN
ejpam-6488	37	13	equations	equation	NOUN
ejpam-6488	37	14	with	with	ADP
ejpam-6488	37	15	rapidly	rapidly	ADV
ejpam-6488	37	16	changing	change	VERB
ejpam-6488	37	17	kernels	kernel	NOUN
ejpam-6488	37	18	.	.	PUNCT
ejpam-6488	38	1	the	the	DET
ejpam-6488	38	2	study	study	NOUN
ejpam-6488	38	3	revealed	reveal	VERB
ejpam-6488	38	4	that	that	SCONJ
ejpam-6488	38	5	the	the	DET
ejpam-6488	38	6	type	type	NOUN
ejpam-6488	38	7	of	of	ADP
ejpam-6488	38	8	upper	upper	ADJ
ejpam-6488	38	9	limit	limit	NOUN
ejpam-6488	38	10	of	of	ADP
ejpam-6488	38	11	the	the	DET
ejpam-6488	38	12	integral	integral	ADJ
ejpam-6488	38	13	operator	operator	NOUN
ejpam-6488	38	14	in	in	ADP
ejpam-6488	38	15	such	such	ADJ
ejpam-6488	38	16	equations	equation	NOUN
ejpam-6488	38	17	leads	lead	VERB
ejpam-6488	38	18	to	to	ADP
ejpam-6488	38	19	two	two	NUM
ejpam-6488	38	20	fundamentally	fundamentally	ADV
ejpam-6488	38	21	different	different	ADJ
ejpam-6488	38	22	situations	situation	NOUN
ejpam-6488	38	23	.	.	PUNCT
ejpam-6488	39	1	the	the	DET
ejpam-6488	39	2	most	most	ADV
ejpam-6488	39	3	difficult	difficult	ADJ
ejpam-6488	39	4	situation	situation	NOUN
ejpam-6488	39	5	arises	arise	VERB
ejpam-6488	39	6	when	when	SCONJ
ejpam-6488	39	7	the	the	DET
ejpam-6488	39	8	upper	upper	ADJ
ejpam-6488	39	9	bound	bound	NOUN
ejpam-6488	39	10	of	of	ADP
ejpam-6488	39	11	the	the	DET
ejpam-6488	39	12	integration	integration	NOUN
ejpam-6488	39	13	operator	operator	NOUN
ejpam-6488	39	14	does	do	AUX
ejpam-6488	39	15	not	not	PART
ejpam-6488	39	16	coincide	coincide	VERB
ejpam-6488	39	17	with	with	ADP
ejpam-6488	39	18	the	the	DET
ejpam-6488	39	19	differentiation	differentiation	NOUN
ejpam-6488	39	20	variable	variable	NOUN
ejpam-6488	39	21	.	.	PUNCT
ejpam-6488	40	1	as	as	SCONJ
ejpam-6488	40	2	studies	study	NOUN
ejpam-6488	40	3	have	have	AUX
ejpam-6488	40	4	shown	show	VERB
ejpam-6488	40	5	,	,	PUNCT
ejpam-6488	40	6	in	in	ADP
ejpam-6488	40	7	this	this	DET
ejpam-6488	40	8	case	case	NOUN
ejpam-6488	40	9	the	the	DET
ejpam-6488	40	10	integral	integral	ADJ
ejpam-6488	40	11	operator	operator	NOUN
ejpam-6488	40	12	can	can	AUX
ejpam-6488	40	13	have	have	VERB
ejpam-6488	40	14	characteristic	characteristic	ADJ
ejpam-6488	40	15	values	value	NOUN
ejpam-6488	40	16	,	,	PUNCT
ejpam-6488	40	17	and	and	CCONJ
ejpam-6488	40	18	to	to	PART
ejpam-6488	40	19	construct	construct	VERB
ejpam-6488	40	20	the	the	DET
ejpam-6488	40	21	asymptotics	asymptotic	NOUN
ejpam-6488	40	22	,	,	PUNCT
ejpam-6488	40	23	more	more	ADV
ejpam-6488	40	24	stringent	stringent	ADJ
ejpam-6488	40	25	conditions	condition	NOUN
ejpam-6488	40	26	on	on	ADP
ejpam-6488	40	27	the	the	DET
ejpam-6488	40	28	initial	initial	ADJ
ejpam-6488	40	29	data	datum	NOUN
ejpam-6488	40	30	of	of	ADP
ejpam-6488	40	31	the	the	DET
ejpam-6488	40	32	problem	problem	NOUN
ejpam-6488	40	33	will	will	AUX
ejpam-6488	40	34	be	be	AUX
ejpam-6488	40	35	required	require	VERB
ejpam-6488	40	36	.	.	PUNCT
ejpam-6488	41	1	a	a	DET
ejpam-6488	41	2	singularly	singularly	ADV
ejpam-6488	41	3	perturbed	perturb	VERB
ejpam-6488	41	4	partial	partial	ADJ
ejpam-6488	41	5	integro	integro	ADJ
ejpam-6488	41	6	-	-	PUNCT
ejpam-6488	41	7	differential	differential	NOUN
ejpam-6488	41	8	equation	equation	NOUN
ejpam-6488	41	9	with	with	ADP
ejpam-6488	41	10	rapidly	rapidly	ADV
ejpam-6488	41	11	oscillating	oscillate	VERB
ejpam-6488	41	12	coefficients	coefficient	NOUN
ejpam-6488	41	13	in	in	ADP
ejpam-6488	41	14	the	the	DET
ejpam-6488	41	15	absence	absence	NOUN
ejpam-6488	41	16	of	of	ADP
ejpam-6488	41	17	resonance	resonance	NOUN
ejpam-6488	41	18	was	be	AUX
ejpam-6488	41	19	studied	study	VERB
ejpam-6488	41	20	in	in	ADP
ejpam-6488	41	21	the	the	DET
ejpam-6488	41	22	works	work	NOUN
ejpam-6488	41	23	of	of	ADP
ejpam-6488	41	24	[	[	X
ejpam-6488	41	25	31–33	31–33	NUM
ejpam-6488	41	26	]	]	PUNCT
ejpam-6488	41	27	.	.	PUNCT
ejpam-6488	42	1	thus	thus	ADV
ejpam-6488	42	2	,	,	PUNCT
ejpam-6488	42	3	in	in	ADP
ejpam-6488	42	4	this	this	DET
ejpam-6488	42	5	paper	paper	NOUN
ejpam-6488	42	6	,	,	PUNCT
ejpam-6488	42	7	s.	s.	PROPN
ejpam-6488	42	8	a.	a.	PROPN
ejpam-6488	42	9	lomov	lomov	PROPN
ejpam-6488	42	10	’s	’s	PART
ejpam-6488	42	11	regularization	regularization	NOUN
ejpam-6488	42	12	method	method	NOUN
ejpam-6488	42	13	[	[	X
ejpam-6488	42	14	1	1	NUM
ejpam-6488	42	15	]	]	PUNCT
ejpam-6488	42	16	is	be	AUX
ejpam-6488	42	17	generalized	generalize	VERB
ejpam-6488	42	18	to	to	ADP
ejpam-6488	42	19	integrodifferential	integrodifferential	ADJ
ejpam-6488	42	20	partial	partial	ADJ
ejpam-6488	42	21	differential	differential	NOUN
ejpam-6488	42	22	equations	equation	NOUN
ejpam-6488	42	23	with	with	ADP
ejpam-6488	42	24	exponentially	exponentially	ADV
ejpam-6488	42	25	oscillating	oscillate	VERB
ejpam-6488	42	26	right	right	ADJ
ejpam-6488	42	27	-	-	PUNCT
ejpam-6488	42	28	hand	hand	NOUN
ejpam-6488	42	29	side	side	NOUN
ejpam-6488	42	30	.	.	PUNCT
ejpam-6488	43	1	the	the	DET
ejpam-6488	43	2	influence	influence	NOUN
ejpam-6488	43	3	of	of	ADP
ejpam-6488	43	4	oscillating	oscillate	VERB
ejpam-6488	43	5	components	component	NOUN
ejpam-6488	43	6	on	on	ADP
ejpam-6488	43	7	the	the	DET
ejpam-6488	43	8	structure	structure	NOUN
ejpam-6488	43	9	of	of	ADP
ejpam-6488	43	10	the	the	DET
ejpam-6488	43	11	asymptotics	asymptotic	NOUN
ejpam-6488	43	12	of	of	ADP
ejpam-6488	43	13	the	the	DET
ejpam-6488	43	14	solution	solution	NOUN
ejpam-6488	43	15	to	to	ADP
ejpam-6488	43	16	the	the	DET
ejpam-6488	43	17	original	original	ADJ
ejpam-6488	43	18	problem	problem	NOUN
ejpam-6488	43	19	will	will	AUX
ejpam-6488	43	20	be	be	AUX
ejpam-6488	43	21	revealed	reveal	VERB
ejpam-6488	43	22	.	.	PUNCT
ejpam-6488	44	1	denote	denote	VERB
ejpam-6488	44	2	by	by	ADP
ejpam-6488	44	3	λ1(x	λ1(x	NOUN
ejpam-6488	44	4	)	)	PUNCT
ejpam-6488	44	5	=	=	SYM
ejpam-6488	44	6	−a(x	−a(x	PROPN
ejpam-6488	44	7	)	)	PUNCT
ejpam-6488	44	8	,	,	PUNCT
ejpam-6488	44	9	β′(x	β′(x	PRON
ejpam-6488	44	10	)	)	PUNCT
ejpam-6488	44	11	is	be	AUX
ejpam-6488	44	12	a	a	DET
ejpam-6488	44	13	frequency	frequency	NOUN
ejpam-6488	44	14	of	of	ADP
ejpam-6488	44	15	rapidly	rapidly	ADV
ejpam-6488	44	16	oscillating	oscillate	VERB
ejpam-6488	44	17	inhomogeneity	inhomogeneity	NOUN
ejpam-6488	44	18	.	.	PUNCT
ejpam-6488	45	1	in	in	ADP
ejpam-6488	45	2	the	the	DET
ejpam-6488	45	3	function	function	NOUN
ejpam-6488	45	4	λ2(x	λ2(x	NOUN
ejpam-6488	45	5	)	)	PUNCT
ejpam-6488	45	6	=	=	SYM
ejpam-6488	45	7	β′(x	β′(x	X
ejpam-6488	45	8	)	)	PUNCT
ejpam-6488	45	9	will	will	AUX
ejpam-6488	45	10	be	be	AUX
ejpam-6488	45	11	called	call	VERB
ejpam-6488	45	12	the	the	DET
ejpam-6488	45	13	spectrum	spectrum	NOUN
ejpam-6488	45	14	of	of	ADP
ejpam-6488	45	15	a	a	DET
ejpam-6488	45	16	rapidly	rapidly	ADV
ejpam-6488	45	17	oscillating	oscillate	VERB
ejpam-6488	45	18	inhomogeneity	inhomogeneity	NOUN
ejpam-6488	45	19	.	.	PUNCT
ejpam-6488	46	1	we	we	PRON
ejpam-6488	46	2	assume	assume	VERB
ejpam-6488	46	3	that	that	SCONJ
ejpam-6488	46	4	the	the	DET
ejpam-6488	46	5	conditions	condition	NOUN
ejpam-6488	46	6	are	be	AUX
ejpam-6488	46	7	fulfilled	fulfil	VERB
ejpam-6488	46	8	:	:	PUNCT
ejpam-6488	46	9	(	(	PUNCT
ejpam-6488	46	10	i	i	NOUN
ejpam-6488	46	11	)	)	PUNCT
ejpam-6488	46	12	a(x	a(x	PROPN
ejpam-6488	46	13	)	)	PUNCT
ejpam-6488	46	14	,	,	PUNCT
ejpam-6488	46	15	β(x	β(x	NOUN
ejpam-6488	46	16	)	)	PUNCT
ejpam-6488	46	17	∈	∈	PROPN
ejpam-6488	46	18	c∞	c∞	PROPN
ejpam-6488	47	1	(	(	PUNCT
ejpam-6488	47	2	[	[	X
ejpam-6488	47	3	x0	x0	PROPN
ejpam-6488	47	4	,	,	PUNCT
ejpam-6488	47	5	x],r	x],r	NOUN
ejpam-6488	47	6	)	)	PUNCT
ejpam-6488	47	7	,	,	PUNCT
ejpam-6488	47	8	hj(x	hj(x	PROPN
ejpam-6488	47	9	,	,	PUNCT
ejpam-6488	47	10	t	t	X
ejpam-6488	47	11	)	)	PUNCT
ejpam-6488	47	12	∈	∈	PROPN
ejpam-6488	47	13	c∞	c∞	PROPN
ejpam-6488	47	14	(	(	PUNCT
ejpam-6488	47	15	[	[	X
ejpam-6488	47	16	x0	x0	PROPN
ejpam-6488	47	17	,	,	PUNCT
ejpam-6488	47	18	x]×	x]×	NOUN
ejpam-6488	48	1	[	[	X
ejpam-6488	48	2	0	0	NUM
ejpam-6488	48	3	,	,	PUNCT
ejpam-6488	48	4	t	t	X
ejpam-6488	48	5	]	]	PUNCT
ejpam-6488	48	6	,	,	PUNCT
ejpam-6488	48	7	c2	c2	PROPN
ejpam-6488	48	8	)	)	PUNCT
ejpam-6488	48	9	,	,	PUNCT
ejpam-6488	48	10	j	j	PROPN
ejpam-6488	48	11	=	=	SYM
ejpam-6488	48	12	1	1	NUM
ejpam-6488	48	13	,	,	PUNCT
ejpam-6488	48	14	2	2	NUM
ejpam-6488	48	15	,	,	PUNCT
ejpam-6488	48	16	k(x	k(x	PROPN
ejpam-6488	48	17	,	,	PUNCT
ejpam-6488	48	18	t	t	PROPN
ejpam-6488	48	19	,	,	PUNCT
ejpam-6488	48	20	s	s	PART
ejpam-6488	48	21	)	)	PUNCT
ejpam-6488	48	22	∈	∈	PROPN
ejpam-6488	48	23	c∞	c∞	PROPN
ejpam-6488	48	24	(	(	PUNCT
ejpam-6488	48	25	{	{	PUNCT
ejpam-6488	48	26	x0	x0	PROPN
ejpam-6488	48	27	≤	≤	NUM
ejpam-6488	48	28	x	x	X
ejpam-6488	48	29	≤	≤	NUM
ejpam-6488	48	30	s	s	PART
ejpam-6488	48	31	≤	≤	NUM
ejpam-6488	48	32	x	x	X
ejpam-6488	48	33	,	,	PUNCT
ejpam-6488	48	34	0	0	NUM
ejpam-6488	48	35	≤	≤	NUM
ejpam-6488	48	36	t	t	NOUN
ejpam-6488	48	37	≤	≤	NOUN
ejpam-6488	48	38	t},c2	t},c2	NOUN
ejpam-6488	48	39	)	)	PUNCT
ejpam-6488	48	40	;	;	PUNCT
ejpam-6488	48	41	(	(	PUNCT
ejpam-6488	48	42	ii	ii	NOUN
ejpam-6488	48	43	)	)	PUNCT
ejpam-6488	48	44	λ1(x	λ1(x	NOUN
ejpam-6488	48	45	)	)	PUNCT
ejpam-6488	48	46	̸=	̸=	PROPN
ejpam-6488	48	47	λ2(x	λ2(x	PROPN
ejpam-6488	48	48	)	)	PUNCT
ejpam-6488	48	49	,	,	PUNCT
ejpam-6488	48	50	λj(x	λj(x	X
ejpam-6488	48	51	)	)	PUNCT
ejpam-6488	48	52	̸=	̸=	NOUN
ejpam-6488	48	53	0	0	NUM
ejpam-6488	48	54	(	(	PUNCT
ejpam-6488	48	55	∀x	∀x	X
ejpam-6488	48	56	∈	∈	PROPN
ejpam-6488	48	57	[	[	X
ejpam-6488	48	58	x0	x0	PROPN
ejpam-6488	48	59	,	,	PUNCT
ejpam-6488	48	60	x	x	X
ejpam-6488	48	61	]	]	X
ejpam-6488	48	62	)	)	PUNCT
ejpam-6488	48	63	,	,	PUNCT
ejpam-6488	48	64	j	j	PROPN
ejpam-6488	48	65	=	=	SYM
ejpam-6488	48	66	1	1	NUM
ejpam-6488	48	67	,	,	PUNCT
ejpam-6488	48	68	2	2	NUM
ejpam-6488	48	69	;	;	PUNCT
ejpam-6488	48	70	(	(	PUNCT
ejpam-6488	48	71	iii	iii	NOUN
ejpam-6488	48	72	)	)	PUNCT
ejpam-6488	48	73	λ1(x	λ1(x	NOUN
ejpam-6488	48	74	)	)	PUNCT
ejpam-6488	48	75	<	<	X
ejpam-6488	48	76	0	0	PUNCT
ejpam-6488	48	77	(	(	PUNCT
ejpam-6488	48	78	∀x	∀x	X
ejpam-6488	48	79	∈	∈	PROPN
ejpam-6488	48	80	[	[	X
ejpam-6488	48	81	x0	x0	PROPN
ejpam-6488	48	82	,	,	PUNCT
ejpam-6488	48	83	x	x	X
ejpam-6488	48	84	]	]	X
ejpam-6488	48	85	)	)	PUNCT
ejpam-6488	48	86	.	.	PUNCT
ejpam-6488	49	1	we	we	PRON
ejpam-6488	49	2	will	will	AUX
ejpam-6488	49	3	develop	develop	VERB
ejpam-6488	49	4	an	an	DET
ejpam-6488	49	5	algorithm	algorithm	NOUN
ejpam-6488	49	6	for	for	ADP
ejpam-6488	49	7	constructing	construct	VERB
ejpam-6488	49	8	a	a	DET
ejpam-6488	49	9	regularized	regularize	VERB
ejpam-6488	49	10	[	[	X
ejpam-6488	49	11	1	1	NUM
ejpam-6488	49	12	]	]	X
ejpam-6488	49	13	asymptotic	asymptotic	ADJ
ejpam-6488	49	14	solution	solution	NOUN
ejpam-6488	49	15	of	of	ADP
ejpam-6488	49	16	problem	problem	NOUN
ejpam-6488	49	17	(	(	PUNCT
ejpam-6488	49	18	1.1	1.1	NUM
ejpam-6488	49	19	)	)	PUNCT
ejpam-6488	49	20	.	.	PUNCT
ejpam-6488	50	1	2	2	X
ejpam-6488	50	2	.	.	X
ejpam-6488	50	3	regularization	regularization	NOUN
ejpam-6488	50	4	of	of	ADP
ejpam-6488	50	5	the	the	DET
ejpam-6488	50	6	problem	problem	NOUN
ejpam-6488	50	7	based	base	VERB
ejpam-6488	50	8	on	on	ADP
ejpam-6488	50	9	the	the	DET
ejpam-6488	50	10	spectrum	spectrum	NOUN
ejpam-6488	50	11	λ1(x	λ1(x	NOUN
ejpam-6488	50	12	)	)	PUNCT
ejpam-6488	50	13	=	=	SYM
ejpam-6488	50	14	−a(x	−a(x	PROPN
ejpam-6488	50	15	)	)	PUNCT
ejpam-6488	50	16	,	,	PUNCT
ejpam-6488	50	17	the	the	DET
ejpam-6488	50	18	frequency	frequency	NOUN
ejpam-6488	50	19	of	of	ADP
ejpam-6488	50	20	the	the	DET
ejpam-6488	50	21	rapidly	rapidly	ADV
ejpam-6488	50	22	oscillating	oscillate	VERB
ejpam-6488	50	23	inhomogeneity	inhomogeneity	NOUN
ejpam-6488	50	24	λ2(x	λ2(x	NOUN
ejpam-6488	50	25	)	)	PUNCT
ejpam-6488	50	26	=	=	SYM
ejpam-6488	50	27	iβ′(x	iβ′(x	NOUN
ejpam-6488	50	28	)	)	PUNCT
ejpam-6488	50	29	,	,	PUNCT
ejpam-6488	50	30	we	we	PRON
ejpam-6488	50	31	introduce	introduce	VERB
ejpam-6488	50	32	regularizing	regularizing	NOUN
ejpam-6488	50	33	functions	function	NOUN
ejpam-6488	50	34	of	of	ADP
ejpam-6488	50	35	the	the	DET
ejpam-6488	50	36	form	form	NOUN
ejpam-6488	50	37	:	:	PUNCT
ejpam-6488	50	38	τj	τj	ADP
ejpam-6488	50	39	=	=	SYM
ejpam-6488	50	40	1	1	NUM
ejpam-6488	50	41	ε	ε	PROPN
ejpam-6488	50	42	x∫	x∫	NUM
ejpam-6488	50	43	x0	x0	PROPN
ejpam-6488	51	1	λj(θ)dθ	λj(θ)dθ	PROPN
ejpam-6488	51	2	≡	≡	PROPN
ejpam-6488	51	3	ψj(x	ψj(x	NUM
ejpam-6488	51	4	)	)	PUNCT
ejpam-6488	51	5	ε	ε	PROPN
ejpam-6488	51	6	,	,	PUNCT
ejpam-6488	51	7	j	j	PROPN
ejpam-6488	51	8	=	=	SYM
ejpam-6488	51	9	1	1	NUM
ejpam-6488	51	10	,	,	PUNCT
ejpam-6488	51	11	2	2	NUM
ejpam-6488	51	12	.	.	X
ejpam-6488	51	13	we	we	PRON
ejpam-6488	51	14	introduce	introduce	VERB
ejpam-6488	51	15	the	the	DET
ejpam-6488	51	16	notation	notation	NOUN
ejpam-6488	51	17	τ	τ	X
ejpam-6488	51	18	=	=	PUNCT
ejpam-6488	51	19	(	(	PUNCT
ejpam-6488	51	20	τ1	τ1	NOUN
ejpam-6488	51	21	,	,	PUNCT
ejpam-6488	51	22	τ2	τ2	NOUN
ejpam-6488	51	23	)	)	PUNCT
ejpam-6488	51	24	,	,	PUNCT
ejpam-6488	51	25	ψj(x	ψj(x	X
ejpam-6488	51	26	,	,	PUNCT
ejpam-6488	51	27	ε	ε	PROPN
ejpam-6488	51	28	)	)	PUNCT
ejpam-6488	51	29	=	=	SYM
ejpam-6488	51	30	(	(	PUNCT
ejpam-6488	51	31	ψ1(x	ψ1(x	PROPN
ejpam-6488	51	32	,	,	PUNCT
ejpam-6488	51	33	ε	ε	PROPN
ejpam-6488	51	34	)	)	PUNCT
ejpam-6488	51	35	,	,	PUNCT
ejpam-6488	51	36	ψ2(x	ψ2(x	PROPN
ejpam-6488	51	37	,	,	PUNCT
ejpam-6488	51	38	ε	ε	PROPN
ejpam-6488	51	39	)	)	PUNCT
ejpam-6488	51	40	)	)	PUNCT
ejpam-6488	51	41	and	and	CCONJ
ejpam-6488	51	42	instead	instead	ADV
ejpam-6488	51	43	of	of	ADP
ejpam-6488	51	44	the	the	DET
ejpam-6488	51	45	desired	desire	VERB
ejpam-6488	51	46	solution	solution	NOUN
ejpam-6488	51	47	y(x	y(x	PROPN
ejpam-6488	51	48	,	,	PUNCT
ejpam-6488	51	49	t	t	PROPN
ejpam-6488	51	50	,	,	PUNCT
ejpam-6488	51	51	ε	ε	PROPN
ejpam-6488	51	52	)	)	PUNCT
ejpam-6488	51	53	to	to	PART
ejpam-6488	51	54	problem	problem	NOUN
ejpam-6488	51	55	(	(	PUNCT
ejpam-6488	51	56	1.1	1.1	NUM
ejpam-6488	51	57	)	)	PUNCT
ejpam-6488	51	58	,	,	PUNCT
ejpam-6488	51	59	we	we	PRON
ejpam-6488	51	60	will	will	AUX
ejpam-6488	51	61	study	study	VERB
ejpam-6488	51	62	some	some	DET
ejpam-6488	51	63	extended	extended	ADJ
ejpam-6488	51	64	function	function	NOUN
ejpam-6488	51	65	u(x	u(x	NOUN
ejpam-6488	51	66	,	,	PUNCT
ejpam-6488	51	67	t	t	PROPN
ejpam-6488	51	68	,	,	PUNCT
ejpam-6488	51	69	τ	τ	PROPN
ejpam-6488	51	70	,	,	PUNCT
ejpam-6488	51	71	ε	ε	PROPN
ejpam-6488	51	72	)	)	PUNCT
ejpam-6488	51	73	such	such	ADJ
ejpam-6488	51	74	that	that	SCONJ
ejpam-6488	51	75	its	its	PRON
ejpam-6488	51	76	restriction	restriction	NOUN
ejpam-6488	51	77	identically	identically	ADV
ejpam-6488	51	78	u(x	u(x	NOUN
ejpam-6488	51	79	,	,	PUNCT
ejpam-6488	51	80	t	t	PROPN
ejpam-6488	51	81	,	,	PUNCT
ejpam-6488	51	82	τ	τ	PROPN
ejpam-6488	51	83	,	,	PUNCT
ejpam-6488	51	84	ε)|	ε)|	PROPN
ejpam-6488	51	85	τ=	τ=	PROPN
ejpam-6488	51	86	ψ(x	ψ(x	NOUN
ejpam-6488	51	87	)	)	PUNCT
ejpam-6488	51	88	ε	ε	PROPN
ejpam-6488	51	89	≡	≡	PROPN
ejpam-6488	51	90	y(x	y(x	PROPN
ejpam-6488	51	91	,	,	PUNCT
ejpam-6488	51	92	t	t	PROPN
ejpam-6488	51	93	,	,	PUNCT
ejpam-6488	51	94	ε	ε	PROPN
ejpam-6488	51	95	)	)	PUNCT
ejpam-6488	51	96	coincides	coincide	VERB
ejpam-6488	51	97	with	with	ADP
ejpam-6488	51	98	the	the	DET
ejpam-6488	51	99	desired	desire	VERB
ejpam-6488	51	100	solution	solution	NOUN
ejpam-6488	51	101	to	to	ADP
ejpam-6488	51	102	problem	problem	NOUN
ejpam-6488	51	103	(	(	PUNCT
ejpam-6488	51	104	1.1	1.1	NUM
ejpam-6488	51	105	)	)	PUNCT
ejpam-6488	51	106	.	.	PUNCT
ejpam-6488	52	1	we	we	PRON
ejpam-6488	52	2	find	find	VERB
ejpam-6488	52	3	the	the	DET
ejpam-6488	52	4	total	total	ADJ
ejpam-6488	52	5	derivative	derivative	NOUN
ejpam-6488	52	6	for	for	ADP
ejpam-6488	52	7	the	the	DET
ejpam-6488	52	8	m.	m.	NOUN
ejpam-6488	52	9	begaidarov	begaidarov	PROPN
ejpam-6488	52	10	,	,	PUNCT
ejpam-6488	52	11	d.	d.	PROPN
ejpam-6488	52	12	bibulova	bibulova	PROPN
ejpam-6488	52	13	,	,	PUNCT
ejpam-6488	52	14	b.	b.	PROPN
ejpam-6488	52	15	kalimbetov	kalimbetov	PROPN
ejpam-6488	52	16	/	/	SYM
ejpam-6488	52	17	eur	eur	PROPN
ejpam-6488	52	18	.	.	PUNCT
ejpam-6488	53	1	j.	j.	PROPN
ejpam-6488	53	2	pure	pure	PROPN
ejpam-6488	53	3	appl	appl	PROPN
ejpam-6488	53	4	.	.	PROPN
ejpam-6488	53	5	math	math	PROPN
ejpam-6488	53	6	,	,	PUNCT
ejpam-6488	53	7	18	18	NUM
ejpam-6488	53	8	(	(	PUNCT
ejpam-6488	53	9	4	4	NUM
ejpam-6488	53	10	)	)	PUNCT
ejpam-6488	53	11	(	(	PUNCT
ejpam-6488	53	12	2025	2025	NUM
ejpam-6488	53	13	)	)	PUNCT
ejpam-6488	53	14	,	,	PUNCT
ejpam-6488	53	15	6488	6488	NUM
ejpam-6488	53	16	4	4	NUM
ejpam-6488	53	17	of	of	ADP
ejpam-6488	53	18	20	20	NUM
ejpam-6488	53	19	function	function	NOUN
ejpam-6488	53	20	u	u	NOUN
ejpam-6488	53	21	(	(	PUNCT
ejpam-6488	53	22	x	x	PROPN
ejpam-6488	53	23	,	,	PUNCT
ejpam-6488	53	24	t	t	PROPN
ejpam-6488	53	25	,	,	PUNCT
ejpam-6488	53	26	ψ(x)ε	ψ(x)ε	PROPN
ejpam-6488	53	27	,	,	PUNCT
ejpam-6488	53	28	ε	ε	PROPN
ejpam-6488	53	29	)	)	PUNCT
ejpam-6488	53	30	,	,	PUNCT
ejpam-6488	53	31	and	and	CCONJ
ejpam-6488	53	32	instead	instead	ADV
ejpam-6488	53	33	of	of	ADP
ejpam-6488	53	34	problem	problem	NOUN
ejpam-6488	53	35	(	(	PUNCT
ejpam-6488	53	36	1.1	1.1	NUM
ejpam-6488	53	37	)	)	PUNCT
ejpam-6488	53	38	,	,	PUNCT
ejpam-6488	53	39	consider	consider	VERB
ejpam-6488	53	40	the	the	DET
ejpam-6488	53	41	problem	problem	NOUN
ejpam-6488	53	42	ε∂u∂x	ε∂u∂x	PRON
ejpam-6488	54	1	+	+	NUM
ejpam-6488	54	2	2∑	2∑	NUM
ejpam-6488	54	3	j=1	j=1	NOUN
ejpam-6488	54	4	λj(x	λj(x	X
ejpam-6488	54	5	)	)	PUNCT
ejpam-6488	54	6	∂u	∂u	PROPN
ejpam-6488	55	1	∂τj	∂τj	PROPN
ejpam-6488	55	2	−	−	PROPN
ejpam-6488	56	1	λ1(x)u−	λ1(x)u−	PROPN
ejpam-6488	56	2	x∫	x∫	PROPN
ejpam-6488	56	3	x0	x0	PROPN
ejpam-6488	56	4	k(x	k(x	PROPN
ejpam-6488	56	5	,	,	PUNCT
ejpam-6488	56	6	t	t	PROPN
ejpam-6488	56	7	,	,	PUNCT
ejpam-6488	56	8	s)u(s	s)u(s	PROPN
ejpam-6488	56	9	,	,	PUNCT
ejpam-6488	56	10	t	t	PROPN
ejpam-6488	56	11	,	,	PUNCT
ejpam-6488	56	12	ψ(s)ε	ψ(s)ε	PRON
ejpam-6488	56	13	,	,	PUNCT
ejpam-6488	56	14	ε)ds	ε)ds	PROPN
ejpam-6488	56	15	=	=	SYM
ejpam-6488	56	16	h1(x	h1(x	PROPN
ejpam-6488	56	17	,	,	PUNCT
ejpam-6488	56	18	t)+	t)+	NOUN
ejpam-6488	56	19	+	+	PROPN
ejpam-6488	56	20	h2(x	h2(x	PROPN
ejpam-6488	56	21	,	,	PUNCT
ejpam-6488	56	22	t)e	t)e	SYM
ejpam-6488	56	23	τ2σ	τ2σ	PROPN
ejpam-6488	56	24	,	,	PUNCT
ejpam-6488	56	25	u(x0	u(x0	PROPN
ejpam-6488	56	26	,	,	PUNCT
ejpam-6488	56	27	t	t	PROPN
ejpam-6488	56	28	,	,	PUNCT
ejpam-6488	56	29	0	0	NUM
ejpam-6488	56	30	,	,	PUNCT
ejpam-6488	56	31	ε	ε	PROPN
ejpam-6488	56	32	)	)	PUNCT
ejpam-6488	56	33	=	=	SYM
ejpam-6488	56	34	y0(t	y0(t	PROPN
ejpam-6488	56	35	)	)	PUNCT
ejpam-6488	56	36	,	,	PUNCT
ejpam-6488	56	37	(	(	PUNCT
ejpam-6488	56	38	(	(	PUNCT
ejpam-6488	56	39	x	x	NOUN
ejpam-6488	56	40	,	,	PUNCT
ejpam-6488	56	41	t	t	PROPN
ejpam-6488	56	42	)	)	PUNCT
ejpam-6488	56	43	∈	∈	PROPN
ejpam-6488	57	1	[	[	X
ejpam-6488	57	2	x0	x0	PROPN
ejpam-6488	57	3	,	,	PUNCT
ejpam-6488	57	4	x]×	x]×	NOUN
ejpam-6488	58	1	[	[	X
ejpam-6488	58	2	0	0	NUM
ejpam-6488	58	3	,	,	PUNCT
ejpam-6488	58	4	t	t	NOUN
ejpam-6488	58	5	]	]	PUNCT
ejpam-6488	58	6	)	)	PUNCT
ejpam-6488	58	7	,	,	PUNCT
ejpam-6488	58	8	σ	σ	PROPN
ejpam-6488	58	9	=	=	PUNCT
ejpam-6488	58	10	e	e	NOUN
ejpam-6488	58	11	iβ(x0	iβ(x0	ADV
ejpam-6488	58	12	)	)	PUNCT
ejpam-6488	58	13	ε	ε	PROPN
ejpam-6488	58	14	.	.	PUNCT
ejpam-6488	59	1	(	(	PUNCT
ejpam-6488	59	2	2.1	2.1	NUM
ejpam-6488	59	3	)	)	PUNCT
ejpam-6488	59	4	however	however	ADV
ejpam-6488	59	5	,	,	PUNCT
ejpam-6488	59	6	it	it	PRON
ejpam-6488	59	7	can	can	AUX
ejpam-6488	59	8	not	not	PART
ejpam-6488	59	9	be	be	AUX
ejpam-6488	59	10	considered	consider	VERB
ejpam-6488	59	11	fully	fully	ADV
ejpam-6488	59	12	regularized	regularize	VERB
ejpam-6488	59	13	,	,	PUNCT
ejpam-6488	59	14	since	since	SCONJ
ejpam-6488	59	15	it	it	PRON
ejpam-6488	59	16	does	do	AUX
ejpam-6488	59	17	not	not	PART
ejpam-6488	59	18	regularize	regularize	VERB
ejpam-6488	59	19	the	the	DET
ejpam-6488	59	20	integral	integral	ADJ
ejpam-6488	59	21	ju	ju	PROPN
ejpam-6488	59	22	≡	≡	PROPN
ejpam-6488	59	23	j	j	PROPN
ejpam-6488	59	24	(	(	PUNCT
ejpam-6488	59	25	u(x	u(x	PROPN
ejpam-6488	59	26	,	,	PUNCT
ejpam-6488	59	27	t	t	PROPN
ejpam-6488	59	28	,	,	PUNCT
ejpam-6488	59	29	τ	τ	PROPN
ejpam-6488	59	30	,	,	PUNCT
ejpam-6488	59	31	σ	σ	PROPN
ejpam-6488	59	32	,	,	PUNCT
ejpam-6488	59	33	ε)|x	ε)|x	NOUN
ejpam-6488	59	34	=	=	SYM
ejpam-6488	59	35	s	s	PROPN
ejpam-6488	59	36	,	,	PUNCT
ejpam-6488	59	37	τ	τ	PROPN
ejpam-6488	59	38	=	=	NOUN
ejpam-6488	59	39	ψ(s)/ε	ψ(s)/ε	PROPN
ejpam-6488	59	40	)	)	PUNCT
ejpam-6488	60	1	=	=	PUNCT
ejpam-6488	61	1	x∫	x∫	ADJ
ejpam-6488	61	2	x0	x0	PROPN
ejpam-6488	62	1	k	k	PROPN
ejpam-6488	62	2	(	(	PUNCT
ejpam-6488	62	3	x	x	PROPN
ejpam-6488	62	4	,	,	PUNCT
ejpam-6488	62	5	t	t	PROPN
ejpam-6488	62	6	,	,	PUNCT
ejpam-6488	62	7	s)u	s)u	X
ejpam-6488	62	8	(	(	PUNCT
ejpam-6488	62	9	s	s	X
ejpam-6488	62	10	,	,	PUNCT
ejpam-6488	62	11	t	t	PROPN
ejpam-6488	62	12	,	,	PUNCT
ejpam-6488	62	13	ψ(s	ψ(s	PROPN
ejpam-6488	62	14	)	)	PUNCT
ejpam-6488	62	15	ε	ε	PROPN
ejpam-6488	62	16	,	,	PUNCT
ejpam-6488	62	17	σ	σ	PROPN
ejpam-6488	62	18	,	,	PUNCT
ejpam-6488	62	19	ε	ε	PROPN
ejpam-6488	62	20	)	)	PUNCT
ejpam-6488	62	21	ds	ds	PROPN
ejpam-6488	62	22	(	(	PUNCT
ejpam-6488	62	23	2.2	2.2	NUM
ejpam-6488	62	24	)	)	PUNCT
ejpam-6488	62	25	has	have	AUX
ejpam-6488	62	26	not	not	PART
ejpam-6488	62	27	been	be	AUX
ejpam-6488	62	28	regularized	regularize	VERB
ejpam-6488	62	29	in	in	ADP
ejpam-6488	62	30	it	it	PRON
ejpam-6488	62	31	.	.	PUNCT
ejpam-6488	63	1	to	to	PART
ejpam-6488	63	2	regularize	regularize	VERB
ejpam-6488	63	3	it	it	PRON
ejpam-6488	63	4	,	,	PUNCT
ejpam-6488	63	5	we	we	PRON
ejpam-6488	63	6	introduce	introduce	VERB
ejpam-6488	63	7	a	a	DET
ejpam-6488	63	8	class	class	NOUN
ejpam-6488	63	9	mε	mε	NOUN
ejpam-6488	63	10	that	that	PRON
ejpam-6488	63	11	is	be	AUX
ejpam-6488	63	12	asymptotically	asymptotically	ADV
ejpam-6488	63	13	invariant	invariant	ADJ
ejpam-6488	63	14	with	with	ADP
ejpam-6488	63	15	respect	respect	NOUN
ejpam-6488	63	16	to	to	ADP
ejpam-6488	63	17	the	the	DET
ejpam-6488	63	18	operator	operator	NOUN
ejpam-6488	63	19	(	(	PUNCT
ejpam-6488	63	20	see	see	VERB
ejpam-6488	63	21	[	[	X
ejpam-6488	63	22	1	1	NUM
ejpam-6488	63	23	]	]	PUNCT
ejpam-6488	63	24	,	,	PUNCT
ejpam-6488	63	25	p.	p.	NOUN
ejpam-6488	63	26	62	62	NUM
ejpam-6488	63	27	)	)	PUNCT
ejpam-6488	63	28	.	.	PUNCT
ejpam-6488	64	1	definition	definition	NOUN
ejpam-6488	64	2	1	1	NUM
ejpam-6488	64	3	.	.	PUNCT
ejpam-6488	65	1	we	we	PRON
ejpam-6488	65	2	will	will	AUX
ejpam-6488	65	3	say	say	VERB
ejpam-6488	65	4	that	that	SCONJ
ejpam-6488	65	5	a	a	DET
ejpam-6488	65	6	function	function	NOUN
ejpam-6488	65	7	u(x	u(x	NOUN
ejpam-6488	65	8	,	,	PUNCT
ejpam-6488	65	9	t	t	PROPN
ejpam-6488	65	10	,	,	PUNCT
ejpam-6488	65	11	τ	τ	PROPN
ejpam-6488	65	12	,	,	PUNCT
ejpam-6488	65	13	σ	σ	PROPN
ejpam-6488	65	14	)	)	PUNCT
ejpam-6488	65	15	belongs	belong	VERB
ejpam-6488	65	16	to	to	ADP
ejpam-6488	65	17	the	the	DET
ejpam-6488	65	18	class	class	NOUN
ejpam-6488	65	19	u	u	NOUN
ejpam-6488	65	20	,	,	PUNCT
ejpam-6488	65	21	if	if	SCONJ
ejpam-6488	65	22	it	it	PRON
ejpam-6488	65	23	can	can	AUX
ejpam-6488	65	24	be	be	AUX
ejpam-6488	65	25	represented	represent	VERB
ejpam-6488	65	26	as	as	ADP
ejpam-6488	65	27	a	a	DET
ejpam-6488	65	28	sum	sum	NOUN
ejpam-6488	65	29	u	u	NOUN
ejpam-6488	65	30	=	=	PUNCT
ejpam-6488	65	31	{	{	PUNCT
ejpam-6488	65	32	u(x	u(x	PROPN
ejpam-6488	65	33	,	,	PUNCT
ejpam-6488	65	34	t	t	PROPN
ejpam-6488	65	35	,	,	PUNCT
ejpam-6488	65	36	τ	τ	PROPN
ejpam-6488	65	37	,	,	PUNCT
ejpam-6488	65	38	σ	σ	PROPN
ejpam-6488	65	39	)	)	PUNCT
ejpam-6488	65	40	:	:	PUNCT
ejpam-6488	65	41	u	u	NOUN
ejpam-6488	65	42	=	=	SYM
ejpam-6488	65	43	u0(x	u0(x	PROPN
ejpam-6488	65	44	,	,	PUNCT
ejpam-6488	65	45	t	t	PROPN
ejpam-6488	65	46	,	,	PUNCT
ejpam-6488	65	47	σ	σ	PROPN
ejpam-6488	65	48	)	)	PUNCT
ejpam-6488	66	1	+	+	NUM
ejpam-6488	66	2	2∑	2∑	NOUN
ejpam-6488	66	3	j=1	j=1	NOUN
ejpam-6488	66	4	uj(x	uj(x	NOUN
ejpam-6488	66	5	,	,	PUNCT
ejpam-6488	66	6	t	t	PROPN
ejpam-6488	66	7	,	,	PUNCT
ejpam-6488	66	8	σ)e	σ)e	ADV
ejpam-6488	66	9	τj	τj	ADP
ejpam-6488	66	10	,	,	PUNCT
ejpam-6488	66	11	uj(x	uj(x	PROPN
ejpam-6488	66	12	,	,	PUNCT
ejpam-6488	66	13	t	t	PROPN
ejpam-6488	66	14	,	,	PUNCT
ejpam-6488	66	15	σ	σ	PROPN
ejpam-6488	66	16	)	)	PUNCT
ejpam-6488	66	17	∈	∈	PROPN
ejpam-6488	66	18	c∞	c∞	PROPN
ejpam-6488	66	19	(	(	PUNCT
ejpam-6488	66	20	[	[	X
ejpam-6488	66	21	0	0	NUM
ejpam-6488	66	22	,	,	PUNCT
ejpam-6488	66	23	x]×	x]×	NOUN
ejpam-6488	67	1	[	[	X
ejpam-6488	67	2	0	0	NUM
ejpam-6488	67	3	,	,	PUNCT
ejpam-6488	67	4	t	t	X
ejpam-6488	67	5	]	]	PUNCT
ejpam-6488	67	6	,	,	PUNCT
ejpam-6488	67	7	c2	c2	PROPN
ejpam-6488	67	8	)	)	PUNCT
ejpam-6488	67	9	,	,	PUNCT
ejpam-6488	67	10	j	j	PROPN
ejpam-6488	67	11	=	=	SYM
ejpam-6488	67	12	0	0	PROPN
ejpam-6488	67	13	,	,	PUNCT
ejpam-6488	67	14	2	2	NUM
ejpam-6488	67	15	}	}	PUNCT
ejpam-6488	67	16	.	.	PUNCT
ejpam-6488	68	1	(	(	PUNCT
ejpam-6488	68	2	2.3	2.3	NUM
ejpam-6488	68	3	)	)	PUNCT
ejpam-6488	68	4	as	as	ADP
ejpam-6488	68	5	a	a	DET
ejpam-6488	68	6	class	class	NOUN
ejpam-6488	68	7	mε	mε	NOUN
ejpam-6488	68	8	we	we	PRON
ejpam-6488	68	9	take	take	VERB
ejpam-6488	68	10	restrictions	restriction	NOUN
ejpam-6488	68	11	of	of	ADP
ejpam-6488	68	12	the	the	DET
ejpam-6488	68	13	class	class	NOUN
ejpam-6488	68	14	mε	mε	NOUN
ejpam-6488	68	15	for	for	ADP
ejpam-6488	68	16	τ	τ	PROPN
ejpam-6488	68	17	=	=	SYM
ejpam-6488	68	18	ψ(x	ψ(x	PROPN
ejpam-6488	68	19	)	)	PUNCT
ejpam-6488	68	20	ε	ε	PROPN
ejpam-6488	68	21	.	.	PUNCT
ejpam-6488	69	1	we	we	PRON
ejpam-6488	69	2	prove	prove	VERB
ejpam-6488	69	3	that	that	SCONJ
ejpam-6488	69	4	u	u	PROPN
ejpam-6488	69	5	|	|	ADV
ejpam-6488	69	6	τ=	τ=	PROPN
ejpam-6488	69	7	ψ(x	ψ(x	NOUN
ejpam-6488	69	8	)	)	PUNCT
ejpam-6488	69	9	ε	ε	PROPN
ejpam-6488	69	10	is	be	AUX
ejpam-6488	69	11	invariant	invariant	ADJ
ejpam-6488	69	12	with	with	ADP
ejpam-6488	69	13	respect	respect	NOUN
ejpam-6488	69	14	to	to	ADP
ejpam-6488	69	15	the	the	DET
ejpam-6488	69	16	integral	integral	ADJ
ejpam-6488	69	17	operator	operator	NOUN
ejpam-6488	69	18	j	j	PROPN
ejpam-6488	69	19	.	.	PUNCT
ejpam-6488	70	1	theorem	theorem	NOUN
ejpam-6488	70	2	1	1	X
ejpam-6488	70	3	.	.	PUNCT
ejpam-6488	71	1	let	let	VERB
ejpam-6488	71	2	conditions	condition	NOUN
ejpam-6488	71	3	(	(	PUNCT
ejpam-6488	71	4	i	i	NOUN
ejpam-6488	71	5	)	)	PUNCT
ejpam-6488	71	6	and	and	CCONJ
ejpam-6488	71	7	(	(	PUNCT
ejpam-6488	71	8	iii	iii	X
ejpam-6488	71	9	)	)	PUNCT
ejpam-6488	71	10	be	be	AUX
ejpam-6488	71	11	satisfied	satisfied	ADJ
ejpam-6488	71	12	.	.	PUNCT
ejpam-6488	72	1	then	then	ADV
ejpam-6488	72	2	the	the	DET
ejpam-6488	72	3	class	class	NOUN
ejpam-6488	72	4	mε	mε	NOUN
ejpam-6488	72	5	=	=	SYM
ejpam-6488	72	6	u	u	NOUN
ejpam-6488	72	7	|	|	ADV
ejpam-6488	72	8	τ=	τ=	PROPN
ejpam-6488	72	9	ψ(x	ψ(x	NOUN
ejpam-6488	72	10	)	)	PUNCT
ejpam-6488	72	11	ε	ε	PROPN
ejpam-6488	72	12	is	be	AUX
ejpam-6488	72	13	asymptotically	asymptotically	ADV
ejpam-6488	72	14	invariant	invariant	ADJ
ejpam-6488	72	15	with	with	ADP
ejpam-6488	72	16	respect	respect	NOUN
ejpam-6488	72	17	to	to	ADP
ejpam-6488	72	18	the	the	DET
ejpam-6488	72	19	integral	integral	ADJ
ejpam-6488	72	20	operator	operator	NOUN
ejpam-6488	72	21	j	j	PROPN
ejpam-6488	72	22	.	.	PUNCT
ejpam-6488	73	1	proof	proof	NOUN
ejpam-6488	73	2	.	.	PUNCT
ejpam-6488	74	1	substituting	substitute	VERB
ejpam-6488	74	2	(	(	PUNCT
ejpam-6488	74	3	2.2	2.2	NUM
ejpam-6488	74	4	)	)	PUNCT
ejpam-6488	74	5	into	into	ADP
ejpam-6488	74	6	ju	ju	PROPN
ejpam-6488	74	7	,	,	PUNCT
ejpam-6488	74	8	we	we	PRON
ejpam-6488	74	9	have	have	VERB
ejpam-6488	74	10	:	:	PUNCT
ejpam-6488	74	11	ju(x	ju(x	NUM
ejpam-6488	74	12	,	,	PUNCT
ejpam-6488	74	13	t	t	PROPN
ejpam-6488	74	14	,	,	PUNCT
ejpam-6488	74	15	τ	τ	X
ejpam-6488	74	16	)	)	PUNCT
ejpam-6488	74	17	=	=	PUNCT
ejpam-6488	75	1	x∫	x∫	NUM
ejpam-6488	75	2	x0	x0	PROPN
ejpam-6488	75	3	k(x	k(x	PROPN
ejpam-6488	75	4	,	,	PUNCT
ejpam-6488	75	5	t	t	PROPN
ejpam-6488	75	6	,	,	PUNCT
ejpam-6488	75	7	s)u0(s	s)u0(s	PROPN
ejpam-6488	75	8	,	,	PUNCT
ejpam-6488	75	9	t)ds+	t)ds+	NUM
ejpam-6488	75	10	2∑	2∑	NUM
ejpam-6488	75	11	j=1	j=1	NOUN
ejpam-6488	76	1	x∫	x∫	NUM
ejpam-6488	76	2	x0	x0	PROPN
ejpam-6488	76	3	k(x	k(x	PROPN
ejpam-6488	76	4	,	,	PUNCT
ejpam-6488	76	5	t	t	PROPN
ejpam-6488	76	6	,	,	PUNCT
ejpam-6488	76	7	s)uj(s	s)uj(s	ADV
ejpam-6488	76	8	,	,	PUNCT
ejpam-6488	76	9	t)e	t)e	NOUN
ejpam-6488	76	10	1	1	NUM
ejpam-6488	76	11	ε	ε	PROPN
ejpam-6488	76	12	s∫	s∫	NOUN
ejpam-6488	76	13	x0	x0	PROPN
ejpam-6488	76	14	λj(θ)dθ	λj(θ)dθ	X
ejpam-6488	76	15	ds	ds	X
ejpam-6488	76	16	.	.	PUNCT
ejpam-6488	77	1	it	it	PRON
ejpam-6488	77	2	is	be	AUX
ejpam-6488	77	3	necessary	necessary	ADJ
ejpam-6488	77	4	to	to	PART
ejpam-6488	77	5	show	show	VERB
ejpam-6488	77	6	that	that	SCONJ
ejpam-6488	77	7	integrals	integral	NOUN
ejpam-6488	77	8	containing	contain	VERB
ejpam-6488	77	9	exponentials	exponential	NOUN
ejpam-6488	77	10	are	be	AUX
ejpam-6488	77	11	expanded	expand	VERB
ejpam-6488	77	12	into	into	ADP
ejpam-6488	77	13	an	an	DET
ejpam-6488	77	14	asymptotic	asymptotic	ADJ
ejpam-6488	77	15	series	series	NOUN
ejpam-6488	77	16	in	in	ADP
ejpam-6488	77	17	powers	power	NOUN
ejpam-6488	77	18	ε	ε	PROPN
ejpam-6488	77	19	(	(	PUNCT
ejpam-6488	77	20	for	for	ADP
ejpam-6488	77	21	ε→	ε→	SYM
ejpam-6488	77	22	+0	+0	NOUN
ejpam-6488	77	23	)	)	PUNCT
ejpam-6488	77	24	.	.	PUNCT
ejpam-6488	78	1	applying	apply	VERB
ejpam-6488	78	2	the	the	DET
ejpam-6488	78	3	operation	operation	NOUN
ejpam-6488	78	4	of	of	ADP
ejpam-6488	78	5	integration	integration	NOUN
ejpam-6488	78	6	by	by	ADP
ejpam-6488	78	7	parts	part	NOUN
ejpam-6488	78	8	;	;	PUNCT
ejpam-6488	78	9	we	we	PRON
ejpam-6488	78	10	will	will	AUX
ejpam-6488	78	11	have	have	VERB
ejpam-6488	78	12	jj(x	jj(x	NOUN
ejpam-6488	78	13	,	,	PUNCT
ejpam-6488	78	14	t	t	PROPN
ejpam-6488	78	15	,	,	PUNCT
ejpam-6488	78	16	ε	ε	PROPN
ejpam-6488	78	17	)	)	PUNCT
ejpam-6488	78	18	=	=	PUNCT
ejpam-6488	78	19	ε	ε	PROPN
ejpam-6488	78	20	x∫	x∫	NUM
ejpam-6488	79	1	x0	x0	PROPN
ejpam-6488	79	2	k(x	k(x	PROPN
ejpam-6488	79	3	,	,	PUNCT
ejpam-6488	79	4	t	t	PROPN
ejpam-6488	79	5	,	,	PUNCT
ejpam-6488	79	6	s)uj(s	s)uj(s	PROPN
ejpam-6488	79	7	,	,	PUNCT
ejpam-6488	79	8	t	t	PROPN
ejpam-6488	79	9	)	)	PUNCT
ejpam-6488	79	10	λj(s	λj(s	PUNCT
ejpam-6488	79	11	)	)	PUNCT
ejpam-6488	79	12	d	d	PROPN
ejpam-6488	79	13	e	e	ADJ
ejpam-6488	79	14	1	1	NUM
ejpam-6488	79	15	ε	ε	PROPN
ejpam-6488	79	16	s∫	s∫	NOUN
ejpam-6488	79	17	x0	x0	PROPN
ejpam-6488	79	18	λj(θ)dθ	λj(θ)dθ	VERB
ejpam-6488	79	19			PROPN
ejpam-6488	79	20	=	=	SYM
ejpam-6488	79	21	=	=	PUNCT
ejpam-6488	79	22	ε	ε	PROPN
ejpam-6488	79	23	k(x	k(x	PROPN
ejpam-6488	79	24	,	,	PUNCT
ejpam-6488	79	25	t	t	PROPN
ejpam-6488	79	26	,	,	PUNCT
ejpam-6488	79	27	s)uj(s	s)uj(s	PROPN
ejpam-6488	79	28	,	,	PUNCT
ejpam-6488	79	29	t	t	PROPN
ejpam-6488	79	30	)	)	PUNCT
ejpam-6488	79	31	λj(s	λj(s	PUNCT
ejpam-6488	79	32	)	)	PUNCT
ejpam-6488	79	33	e	e	NOUN
ejpam-6488	79	34	1	1	NUM
ejpam-6488	79	35	ε	ε	PROPN
ejpam-6488	79	36	s∫	s∫	NOUN
ejpam-6488	79	37	x0	x0	PROPN
ejpam-6488	79	38	λj(θ)dθ	λj(θ)dθ	X
ejpam-6488	79	39	∣∣∣∣∣∣	∣∣∣∣∣∣	PROPN
ejpam-6488	79	40	s	s	NOUN
ejpam-6488	79	41	=	=	NOUN
ejpam-6488	79	42	x	x	SYM
ejpam-6488	79	43	s	s	PROPN
ejpam-6488	79	44	=	=	NOUN
ejpam-6488	79	45	x0	x0	PROPN
ejpam-6488	79	46	−	−	PROPN
ejpam-6488	79	47	m.	m.	NOUN
ejpam-6488	79	48	begaidarov	begaidarov	PROPN
ejpam-6488	79	49	,	,	PUNCT
ejpam-6488	79	50	d.	d.	PROPN
ejpam-6488	79	51	bibulova	bibulova	PROPN
ejpam-6488	79	52	,	,	PUNCT
ejpam-6488	79	53	b.	b.	PROPN
ejpam-6488	79	54	kalimbetov	kalimbetov	PROPN
ejpam-6488	79	55	/	/	SYM
ejpam-6488	79	56	eur	eur	PROPN
ejpam-6488	79	57	.	.	PUNCT
ejpam-6488	80	1	j.	j.	PROPN
ejpam-6488	80	2	pure	pure	PROPN
ejpam-6488	80	3	appl	appl	PROPN
ejpam-6488	80	4	.	.	PROPN
ejpam-6488	80	5	math	math	PROPN
ejpam-6488	80	6	,	,	PUNCT
ejpam-6488	80	7	18	18	NUM
ejpam-6488	80	8	(	(	PUNCT
ejpam-6488	80	9	4	4	NUM
ejpam-6488	80	10	)	)	PUNCT
ejpam-6488	80	11	(	(	PUNCT
ejpam-6488	80	12	2025	2025	NUM
ejpam-6488	80	13	)	)	PUNCT
ejpam-6488	80	14	,	,	PUNCT
ejpam-6488	80	15	6488	6488	NUM
ejpam-6488	80	16	5	5	NUM
ejpam-6488	80	17	of	of	ADP
ejpam-6488	80	18	20	20	NUM
ejpam-6488	80	19	−	−	NOUN
ejpam-6488	81	1	x∫	x∫	PROPN
ejpam-6488	81	2	x0	x0	PROPN
ejpam-6488	81	3	(	(	PUNCT
ejpam-6488	81	4	∂	∂	NUM
ejpam-6488	81	5	∂s	∂s	PROPN
ejpam-6488	81	6	k(x	k(x	PROPN
ejpam-6488	81	7	,	,	PUNCT
ejpam-6488	81	8	t	t	PROPN
ejpam-6488	81	9	,	,	PUNCT
ejpam-6488	81	10	s)uj(s	s)uj(s	PROPN
ejpam-6488	81	11	,	,	PUNCT
ejpam-6488	81	12	t	t	PROPN
ejpam-6488	81	13	)	)	PUNCT
ejpam-6488	81	14	λj(s	λj(s	PUNCT
ejpam-6488	81	15	)	)	PUNCT
ejpam-6488	81	16	)	)	PUNCT
ejpam-6488	82	1	e	e	X
ejpam-6488	82	2	1	1	NUM
ejpam-6488	82	3	ε	ε	PROPN
ejpam-6488	82	4	s∫	s∫	NOUN
ejpam-6488	82	5	x0	x0	PROPN
ejpam-6488	82	6	λj(θ)dθ	λj(θ)dθ	VERB
ejpam-6488	82	7	ds	ds	ADJ
ejpam-6488	82	8			NOUN
ejpam-6488	82	9	=	=	PUNCT
ejpam-6488	82	10	=	=	SYM
ejpam-6488	82	11	ε	ε	PROPN
ejpam-6488	82	12	k(x	k(x	PROPN
ejpam-6488	82	13	,	,	PUNCT
ejpam-6488	82	14	t	t	PROPN
ejpam-6488	82	15	,	,	PUNCT
ejpam-6488	82	16	x)uj(x	x)uj(x	NUM
ejpam-6488	82	17	,	,	PUNCT
ejpam-6488	82	18	t	t	PROPN
ejpam-6488	82	19	)	)	PUNCT
ejpam-6488	82	20	λj(x	λj(x	PUNCT
ejpam-6488	82	21	)	)	PUNCT
ejpam-6488	82	22	e	e	X
ejpam-6488	82	23	1	1	NUM
ejpam-6488	82	24	ε	ε	PROPN
ejpam-6488	82	25	x∫	x∫	NUM
ejpam-6488	82	26	x0	x0	PROPN
ejpam-6488	82	27	λj(θ)dθ	λj(θ)dθ	VERB
ejpam-6488	82	28	−	−	PROPN
ejpam-6488	82	29	k(x	k(x	PROPN
ejpam-6488	82	30	,	,	PUNCT
ejpam-6488	82	31	t	t	PROPN
ejpam-6488	82	32	,	,	PUNCT
ejpam-6488	82	33	x0)uj(x0	x0)uj(x0	PROPN
ejpam-6488	82	34	,	,	PUNCT
ejpam-6488	82	35	t	t	PROPN
ejpam-6488	82	36	)	)	PUNCT
ejpam-6488	82	37	λj(x0	λj(x0	NOUN
ejpam-6488	82	38	)	)	PUNCT
ejpam-6488	82	39	−	−	VERB
ejpam-6488	82	40	−ε	−ε	PROPN
ejpam-6488	83	1	x∫	x∫	PROPN
ejpam-6488	83	2	x0	x0	PROPN
ejpam-6488	83	3	(	(	PUNCT
ejpam-6488	83	4	∂	∂	NUM
ejpam-6488	83	5	∂s	∂s	PROPN
ejpam-6488	83	6	k(x	k(x	PROPN
ejpam-6488	83	7	,	,	PUNCT
ejpam-6488	83	8	t	t	PROPN
ejpam-6488	83	9	,	,	PUNCT
ejpam-6488	83	10	s)uj(s	s)uj(s	PROPN
ejpam-6488	83	11	,	,	PUNCT
ejpam-6488	83	12	t	t	PROPN
ejpam-6488	83	13	)	)	PUNCT
ejpam-6488	83	14	λj(s	λj(s	PUNCT
ejpam-6488	83	15	)	)	PUNCT
ejpam-6488	83	16	)	)	PUNCT
ejpam-6488	84	1	e	e	X
ejpam-6488	84	2	1	1	NUM
ejpam-6488	84	3	ε	ε	PROPN
ejpam-6488	84	4	s∫	s∫	NOUN
ejpam-6488	84	5	x0	x0	PROPN
ejpam-6488	84	6	λj(θ)dθ	λj(θ)dθ	X
ejpam-6488	84	7	ds	ds	PROPN
ejpam-6488	84	8	.	.	PUNCT
ejpam-6488	85	1	thus	thus	ADV
ejpam-6488	85	2	,	,	PUNCT
ejpam-6488	85	3	after	after	ADP
ejpam-6488	85	4	a	a	DET
ejpam-6488	85	5	single	single	ADJ
ejpam-6488	85	6	integration	integration	NOUN
ejpam-6488	85	7	by	by	ADP
ejpam-6488	85	8	parts	part	NOUN
ejpam-6488	85	9	,	,	PUNCT
ejpam-6488	85	10	the	the	DET
ejpam-6488	85	11	terms	term	NOUN
ejpam-6488	85	12	outside	outside	ADP
ejpam-6488	85	13	the	the	DET
ejpam-6488	85	14	integral	integral	ADJ
ejpam-6488	85	15	are	be	AUX
ejpam-6488	85	16	distinguished	distinguish	VERB
ejpam-6488	85	17	,	,	PUNCT
ejpam-6488	85	18	which	which	PRON
ejpam-6488	85	19	for	for	ADP
ejpam-6488	85	20	τ	τ	PROPN
ejpam-6488	85	21	=	=	SYM
ejpam-6488	85	22	ψ	ψ	PROPN
ejpam-6488	85	23	have	have	VERB
ejpam-6488	85	24	the	the	DET
ejpam-6488	85	25	form	form	NOUN
ejpam-6488	85	26	of	of	ADP
ejpam-6488	85	27	summands	summand	NOUN
ejpam-6488	85	28	(	(	PUNCT
ejpam-6488	85	29	2.2	2.2	NUM
ejpam-6488	85	30	)	)	PUNCT
ejpam-6488	85	31	,	,	PUNCT
ejpam-6488	85	32	and	and	CCONJ
ejpam-6488	85	33	the	the	DET
ejpam-6488	85	34	integral	integral	ADJ
ejpam-6488	85	35	term	term	NOUN
ejpam-6488	85	36	is	be	AUX
ejpam-6488	85	37	again	again	ADV
ejpam-6488	85	38	an	an	DET
ejpam-6488	85	39	integral	integral	NOUN
ejpam-6488	85	40	of	of	ADP
ejpam-6488	85	41	the	the	DET
ejpam-6488	85	42	type	type	NOUN
ejpam-6488	85	43	jj(t	jj(t	PROPN
ejpam-6488	85	44	,	,	PUNCT
ejpam-6488	85	45	ε	ε	PROPN
ejpam-6488	85	46	)	)	PUNCT
ejpam-6488	85	47	.	.	PUNCT
ejpam-6488	86	1	multiple	multiple	ADJ
ejpam-6488	86	2	integration	integration	NOUN
ejpam-6488	86	3	by	by	ADP
ejpam-6488	86	4	parts	part	NOUN
ejpam-6488	86	5	leads	lead	VERB
ejpam-6488	86	6	to	to	ADP
ejpam-6488	86	7	a	a	DET
ejpam-6488	86	8	formal	formal	ADJ
ejpam-6488	86	9	series	series	NOUN
ejpam-6488	86	10	jj(x	jj(x	PROPN
ejpam-6488	86	11	,	,	PUNCT
ejpam-6488	86	12	t	t	PROPN
ejpam-6488	86	13	,	,	PUNCT
ejpam-6488	86	14	ε	ε	PROPN
ejpam-6488	86	15	)	)	PUNCT
ejpam-6488	86	16	=	=	PUNCT
ejpam-6488	87	1	∞∑	∞∑	NUM
ejpam-6488	87	2	ν=0	ν=0	PRON
ejpam-6488	87	3	εν+1	εν+1	VERB
ejpam-6488	87	4	(iνj	(iνj	ADV
ejpam-6488	87	5	(	(	PUNCT
ejpam-6488	87	6	k(x	k(x	PROPN
ejpam-6488	87	7	,	,	PUNCT
ejpam-6488	87	8	t	t	PROPN
ejpam-6488	87	9	,	,	PUNCT
ejpam-6488	87	10	s)uj(s	s)uj(s	PROPN
ejpam-6488	87	11	,	,	PUNCT
ejpam-6488	87	12	t	t	PROPN
ejpam-6488	87	13	)	)	PUNCT
ejpam-6488	87	14	)	)	PUNCT
ejpam-6488	87	15	)	)	PUNCT
ejpam-6488	88	1	s	s	X
ejpam-6488	88	2	=	=	NOUN
ejpam-6488	88	3	x	x	SYM
ejpam-6488	88	4	e	e	NOUN
ejpam-6488	88	5	1	1	NUM
ejpam-6488	88	6	ε	ε	PROPN
ejpam-6488	88	7	x∫	x∫	NUM
ejpam-6488	88	8	x0	x0	PROPN
ejpam-6488	88	9	λj(θ)dθ	λj(θ)dθ	VERB
ejpam-6488	88	10	−	−	PROPN
ejpam-6488	88	11	−	−	PROPN
ejpam-6488	88	12	(	(	PUNCT
ejpam-6488	88	13	iνj	iνj	PROPN
ejpam-6488	88	14	(	(	PUNCT
ejpam-6488	88	15	k(x	k(x	PROPN
ejpam-6488	88	16	,	,	PUNCT
ejpam-6488	88	17	t	t	PROPN
ejpam-6488	88	18	,	,	PUNCT
ejpam-6488	88	19	s)uj(s	s)uj(s	PROPN
ejpam-6488	88	20	,	,	PUNCT
ejpam-6488	88	21	t	t	PROPN
ejpam-6488	88	22	)	)	PUNCT
ejpam-6488	88	23	)	)	PUNCT
ejpam-6488	88	24	)	)	PUNCT
ejpam-6488	89	1	s	s	X
ejpam-6488	90	1	=	=	NOUN
ejpam-6488	90	2	x0	x0	PROPN
ejpam-6488	90	3	]	]	PUNCT
ejpam-6488	90	4	(	(	PUNCT
ejpam-6488	90	5	2.4	2.4	NUM
ejpam-6488	90	6	)	)	PUNCT
ejpam-6488	90	7	where	where	SCONJ
ejpam-6488	90	8	i0j	i0j	PROPN
ejpam-6488	90	9	=	=	NOUN
ejpam-6488	90	10	1	1	NUM
ejpam-6488	90	11	λj(s	λj(s	NUM
ejpam-6488	90	12	)	)	PUNCT
ejpam-6488	90	13	,	,	PUNCT
ejpam-6488	90	14	iν1	iν1	NOUN
ejpam-6488	90	15	=	=	SYM
ejpam-6488	90	16	1	1	NUM
ejpam-6488	90	17	λj(s	λj(	NOUN
ejpam-6488	90	18	)	)	PUNCT
ejpam-6488	90	19	∂	∂	NUM
ejpam-6488	91	1	∂s	∂s	PROPN
ejpam-6488	91	2	iν−1	iν−1	PROPN
ejpam-6488	91	3	j	j	PROPN
ejpam-6488	91	4	,	,	PUNCT
ejpam-6488	91	5	(	(	PUNCT
ejpam-6488	91	6	ν	ν	X
ejpam-6488	91	7	≥	≥	NOUN
ejpam-6488	91	8	1	1	NUM
ejpam-6488	91	9	)	)	PUNCT
ejpam-6488	91	10	,	,	PUNCT
ejpam-6488	91	11	j	j	PROPN
ejpam-6488	91	12	=	=	SYM
ejpam-6488	91	13	1	1	NUM
ejpam-6488	91	14	,	,	PUNCT
ejpam-6488	91	15	2	2	NUM
ejpam-6488	91	16	.	.	PUNCT
ejpam-6488	92	1	the	the	DET
ejpam-6488	92	2	series	series	NOUN
ejpam-6488	92	3	(	(	PUNCT
ejpam-6488	92	4	2.4	2.4	NUM
ejpam-6488	92	5	)	)	PUNCT
ejpam-6488	92	6	converge	converge	VERB
ejpam-6488	92	7	asymptotically	asymptotically	ADV
ejpam-6488	92	8	as	as	ADP
ejpam-6488	92	9	ε→	ε→	PUNCT
ejpam-6488	92	10	+0	+0	ADV
ejpam-6488	92	11	(	(	PUNCT
ejpam-6488	92	12	uniformly	uniformly	ADV
ejpam-6488	92	13	in	in	ADP
ejpam-6488	92	14	(	(	PUNCT
ejpam-6488	92	15	x	x	NOUN
ejpam-6488	92	16	,	,	PUNCT
ejpam-6488	92	17	t	t	PROPN
ejpam-6488	92	18	)	)	PUNCT
ejpam-6488	92	19	∈	∈	PROPN
ejpam-6488	93	1	[	[	X
ejpam-6488	93	2	0	0	NUM
ejpam-6488	93	3	,	,	PUNCT
ejpam-6488	93	4	x]×[0	x]×[0	NUM
ejpam-6488	93	5	,	,	PUNCT
ejpam-6488	93	6	t	t	NOUN
ejpam-6488	93	7	]	]	PUNCT
ejpam-6488	93	8	)	)	PUNCT
ejpam-6488	93	9	.	.	PUNCT
ejpam-6488	94	1	the	the	DET
ejpam-6488	94	2	partial	partial	ADJ
ejpam-6488	94	3	sum	sum	NOUN
ejpam-6488	94	4	of	of	ADP
ejpam-6488	94	5	this	this	DET
ejpam-6488	94	6	series	series	NOUN
ejpam-6488	94	7	sn	sn	PROPN
ejpam-6488	94	8	(	(	PUNCT
ejpam-6488	94	9	x	x	X
ejpam-6488	94	10	,	,	PUNCT
ejpam-6488	94	11	t	t	PROPN
ejpam-6488	94	12	,	,	PUNCT
ejpam-6488	94	13	ε	ε	PROPN
ejpam-6488	94	14	)	)	PUNCT
ejpam-6488	94	15	=	=	SYM
ejpam-6488	94	16	n−1∑	n−1∑	NUM
ejpam-6488	94	17	ν=0	ν=0	PROPN
ejpam-6488	94	18	(	(	PUNCT
ejpam-6488	94	19	−1)νεν+1	−1)νεν+1	NOUN
ejpam-6488	94	20	(iνj	(iνj	PROPN
ejpam-6488	94	21	(	(	PUNCT
ejpam-6488	94	22	k(x	k(x	PROPN
ejpam-6488	94	23	,	,	PUNCT
ejpam-6488	94	24	t	t	PROPN
ejpam-6488	94	25	,	,	PUNCT
ejpam-6488	94	26	s)uj(s	s)uj(s	PROPN
ejpam-6488	94	27	,	,	PUNCT
ejpam-6488	94	28	t	t	PROPN
ejpam-6488	94	29	)	)	PUNCT
ejpam-6488	94	30	)	)	PUNCT
ejpam-6488	94	31	)	)	PUNCT
ejpam-6488	95	1	s	s	X
ejpam-6488	95	2	=	=	NOUN
ejpam-6488	95	3	x	x	SYM
ejpam-6488	95	4	e	e	NOUN
ejpam-6488	95	5	1	1	NUM
ejpam-6488	95	6	ε	ε	PROPN
ejpam-6488	95	7	x∫	x∫	NUM
ejpam-6488	95	8	x0	x0	PROPN
ejpam-6488	95	9	λj(θ)dθ	λj(θ)dθ	VERB
ejpam-6488	95	10	−	−	PROPN
ejpam-6488	95	11	−	−	PROPN
ejpam-6488	95	12	(	(	PUNCT
ejpam-6488	95	13	iνj	iνj	PROPN
ejpam-6488	95	14	(	(	PUNCT
ejpam-6488	95	15	k(x	k(x	PROPN
ejpam-6488	95	16	,	,	PUNCT
ejpam-6488	95	17	t	t	PROPN
ejpam-6488	95	18	,	,	PUNCT
ejpam-6488	95	19	s)uj(s	s)uj(s	PROPN
ejpam-6488	95	20	,	,	PUNCT
ejpam-6488	95	21	t	t	PROPN
ejpam-6488	95	22	)	)	PUNCT
ejpam-6488	95	23	)	)	PUNCT
ejpam-6488	95	24	)	)	PUNCT
ejpam-6488	96	1	s	s	X
ejpam-6488	96	2	=	=	NOUN
ejpam-6488	96	3	x0	x0	PROPN
ejpam-6488	96	4	]	]	PUNCT
ejpam-6488	96	5	satisfies	satisfy	VERB
ejpam-6488	96	6	the	the	DET
ejpam-6488	96	7	equality	equality	NOUN
ejpam-6488	96	8	jj(x	jj(x	PUNCT
ejpam-6488	96	9	,	,	PUNCT
ejpam-6488	96	10	t	t	PROPN
ejpam-6488	96	11	,	,	PUNCT
ejpam-6488	96	12	ε)−	ε)−	PROPN
ejpam-6488	96	13	sn	sn	PROPN
ejpam-6488	96	14	(	(	PUNCT
ejpam-6488	96	15	x	x	PROPN
ejpam-6488	96	16	,	,	PUNCT
ejpam-6488	96	17	t	t	PROPN
ejpam-6488	96	18	,	,	PUNCT
ejpam-6488	96	19	ε	ε	PROPN
ejpam-6488	96	20	)	)	PUNCT
ejpam-6488	96	21	=	=	SYM
ejpam-6488	96	22	(	(	PUNCT
ejpam-6488	96	23	−ε)n	−ε)n	PROPN
ejpam-6488	97	1	x∫	x∫	NUM
ejpam-6488	97	2	x0	x0	PROPN
ejpam-6488	97	3	e	e	X
ejpam-6488	97	4	1	1	NUM
ejpam-6488	97	5	ε	ε	PROPN
ejpam-6488	97	6	s∫	s∫	NOUN
ejpam-6488	97	7	x0	x0	PROPN
ejpam-6488	97	8	λj(θ)dθ	λj(θ)dθ	X
ejpam-6488	97	9	∂	∂	NOUN
ejpam-6488	97	10	∂s	∂s	PROPN
ejpam-6488	97	11	(	(	PUNCT
ejpam-6488	97	12	in−1	in−1	PROPN
ejpam-6488	97	13	j	j	PROPN
ejpam-6488	97	14	(	(	PUNCT
ejpam-6488	97	15	k(x	k(x	PROPN
ejpam-6488	97	16	,	,	PUNCT
ejpam-6488	97	17	t	t	PROPN
ejpam-6488	97	18	,	,	PUNCT
ejpam-6488	97	19	s)uj(s	s)uj(s	PROPN
ejpam-6488	97	20	,	,	PUNCT
ejpam-6488	97	21	t	t	PROPN
ejpam-6488	97	22	)	)	PUNCT
ejpam-6488	97	23	)	)	PUNCT
ejpam-6488	97	24	)	)	PUNCT
ejpam-6488	98	1	ds	ds	X
ejpam-6488	98	2	.	.	NOUN
ejpam-6488	98	3	let	let	VERB
ejpam-6488	98	4	us	we	PRON
ejpam-6488	98	5	integrate	integrate	VERB
ejpam-6488	98	6	by	by	ADP
ejpam-6488	98	7	parts	part	NOUN
ejpam-6488	98	8	the	the	DET
ejpam-6488	98	9	integral	integral	ADJ
ejpam-6488	98	10	standing	standing	NOUN
ejpam-6488	98	11	here	here	ADV
ejpam-6488	98	12	,	,	PUNCT
ejpam-6488	98	13	selecting	select	VERB
ejpam-6488	98	14	one	one	NUM
ejpam-6488	98	15	more	more	ADJ
ejpam-6488	98	16	power	power	NOUN
ejpam-6488	98	17	ε	ε	PROPN
ejpam-6488	98	18	on	on	ADP
ejpam-6488	98	19	the	the	DET
ejpam-6488	98	20	right	right	ADJ
ejpam-6488	98	21	-	-	PUNCT
ejpam-6488	98	22	hand	hand	NOUN
ejpam-6488	98	23	side	side	NOUN
ejpam-6488	98	24	:	:	PUNCT
ejpam-6488	98	25	jj(x	jj(x	NUM
ejpam-6488	98	26	,	,	PUNCT
ejpam-6488	98	27	t	t	PROPN
ejpam-6488	98	28	,	,	PUNCT
ejpam-6488	98	29	ε)−	ε)−	PROPN
ejpam-6488	98	30	sn	sn	PROPN
ejpam-6488	98	31	(	(	PUNCT
ejpam-6488	98	32	x	x	PROPN
ejpam-6488	98	33	,	,	PUNCT
ejpam-6488	98	34	t	t	PROPN
ejpam-6488	98	35	,	,	PUNCT
ejpam-6488	98	36	ε	ε	PROPN
ejpam-6488	98	37	)	)	PUNCT
ejpam-6488	98	38	=	=	SYM
ejpam-6488	98	39	εn+1	εn+1	PROPN
ejpam-6488	98	40	[	[	PUNCT
ejpam-6488	98	41	(	(	PUNCT
ejpam-6488	98	42	−1)n	−1)n	X
ejpam-6488	98	43	{	{	PUNCT
ejpam-6488	98	44	(	(	PUNCT
ejpam-6488	98	45	inj	inj	PROPN
ejpam-6488	98	46	(	(	PUNCT
ejpam-6488	98	47	k(x	k(x	PROPN
ejpam-6488	98	48	,	,	PUNCT
ejpam-6488	98	49	t	t	PROPN
ejpam-6488	98	50	,	,	PUNCT
ejpam-6488	98	51	s)uj(s	s)uj(s	PROPN
ejpam-6488	98	52	,	,	PUNCT
ejpam-6488	98	53	t	t	PROPN
ejpam-6488	98	54	)	)	PUNCT
ejpam-6488	98	55	)	)	PUNCT
ejpam-6488	98	56	)	)	PUNCT
ejpam-6488	99	1	s	s	X
ejpam-6488	99	2	=	=	NOUN
ejpam-6488	99	3	x	x	SYM
ejpam-6488	99	4	e	e	NOUN
ejpam-6488	99	5	1	1	NUM
ejpam-6488	99	6	ε	ε	PROPN
ejpam-6488	99	7	x∫	x∫	NUM
ejpam-6488	99	8	x0	x0	PROPN
ejpam-6488	99	9	λj(θ)dθ	λj(θ)dθ	VERB
ejpam-6488	99	10	−	−	PROPN
ejpam-6488	99	11	m.	m.	NOUN
ejpam-6488	99	12	begaidarov	begaidarov	NOUN
ejpam-6488	99	13	,	,	PUNCT
ejpam-6488	99	14	d.	d.	PROPN
ejpam-6488	99	15	bibulova	bibulova	PROPN
ejpam-6488	99	16	,	,	PUNCT
ejpam-6488	99	17	b.	b.	PROPN
ejpam-6488	99	18	kalimbetov	kalimbetov	PROPN
ejpam-6488	99	19	/	/	SYM
ejpam-6488	99	20	eur	eur	PROPN
ejpam-6488	99	21	.	.	PUNCT
ejpam-6488	100	1	j.	j.	PROPN
ejpam-6488	100	2	pure	pure	PROPN
ejpam-6488	100	3	appl	appl	PROPN
ejpam-6488	100	4	.	.	PROPN
ejpam-6488	100	5	math	math	PROPN
ejpam-6488	100	6	,	,	PUNCT
ejpam-6488	100	7	18	18	NUM
ejpam-6488	100	8	(	(	PUNCT
ejpam-6488	100	9	4	4	NUM
ejpam-6488	100	10	)	)	PUNCT
ejpam-6488	100	11	(	(	PUNCT
ejpam-6488	100	12	2025	2025	NUM
ejpam-6488	100	13	)	)	PUNCT
ejpam-6488	100	14	,	,	PUNCT
ejpam-6488	100	15	6488	6488	NUM
ejpam-6488	100	16	6	6	NUM
ejpam-6488	100	17	of	of	ADP
ejpam-6488	100	18	20	20	NUM
ejpam-6488	100	19	−	−	NOUN
ejpam-6488	100	20	(	(	PUNCT
ejpam-6488	100	21	inj	inj	NOUN
ejpam-6488	100	22	(	(	PUNCT
ejpam-6488	100	23	k(x	k(x	PROPN
ejpam-6488	100	24	,	,	PUNCT
ejpam-6488	100	25	t	t	PROPN
ejpam-6488	100	26	,	,	PUNCT
ejpam-6488	100	27	s)uj(s	s)uj(s	PROPN
ejpam-6488	100	28	,	,	PUNCT
ejpam-6488	100	29	t	t	PROPN
ejpam-6488	100	30	)	)	PUNCT
ejpam-6488	100	31	)	)	PUNCT
ejpam-6488	100	32	)	)	PUNCT
ejpam-6488	101	1	s	s	X
ejpam-6488	101	2	=	=	NOUN
ejpam-6488	101	3	x0	x0	NOUN
ejpam-6488	101	4	}	}	PUNCT
ejpam-6488	101	5	+	+	PUNCT
ejpam-6488	102	1	+	+	ADJ
ejpam-6488	102	2	(	(	PUNCT
ejpam-6488	102	3	−1)n+1	−1)n+1	VERB
ejpam-6488	102	4	x∫	x∫	ADJ
ejpam-6488	102	5	x0	x0	PROPN
ejpam-6488	102	6	e	e	X
ejpam-6488	102	7	1	1	NUM
ejpam-6488	102	8	ε	ε	PROPN
ejpam-6488	102	9	s∫	s∫	NOUN
ejpam-6488	102	10	x0	x0	PROPN
ejpam-6488	103	1	λj(θ)dθ	λj(θ)dθ	X
ejpam-6488	103	2	in+1	in+1	PROPN
ejpam-6488	103	3	j	j	PROPN
ejpam-6488	103	4	(	(	PUNCT
ejpam-6488	103	5	k(x	k(x	PROPN
ejpam-6488	103	6	,	,	PUNCT
ejpam-6488	103	7	t	t	PROPN
ejpam-6488	103	8	,	,	PUNCT
ejpam-6488	103	9	s)uj(s	s)uj(s	NOUN
ejpam-6488	103	10	,	,	PUNCT
ejpam-6488	103	11	t))ds	t))ds	NOUN
ejpam-6488	103	12			NOUN
ejpam-6488	103	13	.	.	PUNCT
ejpam-6488	104	1	due	due	ADP
ejpam-6488	104	2	to	to	ADP
ejpam-6488	104	3	the	the	DET
ejpam-6488	104	4	infinite	infinite	ADJ
ejpam-6488	104	5	differentiability	differentiability	NOUN
ejpam-6488	104	6	of	of	ADP
ejpam-6488	104	7	the	the	DET
ejpam-6488	104	8	function	function	NOUN
ejpam-6488	104	9	k(x	k(x	PROPN
ejpam-6488	104	10	,	,	PUNCT
ejpam-6488	104	11	t	t	PROPN
ejpam-6488	104	12	,	,	PUNCT
ejpam-6488	104	13	s	s	PART
ejpam-6488	104	14	)	)	PUNCT
ejpam-6488	104	15	on	on	ADP
ejpam-6488	104	16	(	(	PUNCT
ejpam-6488	104	17	x	x	X
ejpam-6488	104	18	,	,	PUNCT
ejpam-6488	104	19	t	t	PROPN
ejpam-6488	104	20	,	,	PUNCT
ejpam-6488	104	21	τ	τ	PROPN
ejpam-6488	104	22	)	)	PUNCT
ejpam-6488	104	23	∈	∈	PROPN
ejpam-6488	105	1	[	[	X
ejpam-6488	105	2	x0	x0	PROPN
ejpam-6488	105	3	,	,	PUNCT
ejpam-6488	105	4	x]×	x]×	NOUN
ejpam-6488	106	1	[	[	X
ejpam-6488	106	2	0	0	NUM
ejpam-6488	106	3	,	,	PUNCT
ejpam-6488	106	4	t	t	X
ejpam-6488	106	5	]	]	X
ejpam-6488	106	6	×	×	NOUN
ejpam-6488	106	7	×(0	×(0	NOUN
ejpam-6488	106	8	,	,	PUNCT
ejpam-6488	106	9	ε0	ε0	PROPN
ejpam-6488	106	10	]	]	PUNCT
ejpam-6488	106	11	and	and	CCONJ
ejpam-6488	106	12	λj(x	λj(x	NOUN
ejpam-6488	106	13	)	)	PUNCT
ejpam-6488	106	14	on	on	ADP
ejpam-6488	106	15	[	[	X
ejpam-6488	106	16	x0	x0	PROPN
ejpam-6488	106	17	,	,	PUNCT
ejpam-6488	106	18	x	x	X
ejpam-6488	106	19	]	]	X
ejpam-6488	106	20	,	,	PUNCT
ejpam-6488	106	21	and	and	CCONJ
ejpam-6488	106	22	also	also	ADV
ejpam-6488	106	23	due	due	ADP
ejpam-6488	106	24	to	to	ADP
ejpam-6488	106	25	the	the	DET
ejpam-6488	106	26	uniform	uniform	ADJ
ejpam-6488	106	27	boundedness	boundedness	NOUN
ejpam-6488	106	28	of	of	ADP
ejpam-6488	106	29	the	the	DET
ejpam-6488	106	30	function	function	NOUN
ejpam-6488	106	31	,	,	PUNCT
ejpam-6488	106	32	the	the	DET
ejpam-6488	106	33	equality	equality	NOUN
ejpam-6488	106	34	in	in	ADP
ejpam-6488	106	35	the	the	DET
ejpam-6488	106	36	square	square	ADJ
ejpam-6488	106	37	brackets	bracket	NOUN
ejpam-6488	106	38	of	of	ADP
ejpam-6488	106	39	the	the	DET
ejpam-6488	106	40	last	last	ADJ
ejpam-6488	106	41	one	one	NOUN
ejpam-6488	106	42	is	be	AUX
ejpam-6488	106	43	uniformly	uniformly	ADV
ejpam-6488	106	44	bounded	bound	VERB
ejpam-6488	106	45	for	for	ADP
ejpam-6488	106	46	(	(	PUNCT
ejpam-6488	106	47	x	x	PROPN
ejpam-6488	106	48	,	,	PUNCT
ejpam-6488	106	49	t	t	PROPN
ejpam-6488	106	50	,	,	PUNCT
ejpam-6488	106	51	τ	τ	NOUN
ejpam-6488	106	52	)	)	PUNCT
ejpam-6488	106	53	∈	∈	PROPN
ejpam-6488	106	54	∈	∈	PROPN
ejpam-6488	106	55	[	[	X
ejpam-6488	106	56	x0	x0	PROPN
ejpam-6488	106	57	,	,	PUNCT
ejpam-6488	106	58	x]×	x]×	NOUN
ejpam-6488	107	1	[	[	X
ejpam-6488	107	2	0	0	NUM
ejpam-6488	107	3	,	,	PUNCT
ejpam-6488	107	4	t	t	X
ejpam-6488	107	5	]	]	X
ejpam-6488	107	6	×	×	NOUN
ejpam-6488	107	7	{	{	PUNCT
ejpam-6488	107	8	τ	τ	PROPN
ejpam-6488	107	9	:	:	PUNCT
ejpam-6488	107	10	re	re	NOUN
ejpam-6488	107	11	τj	τj	ADV
ejpam-6488	107	12	,	,	PUNCT
ejpam-6488	107	13	j	j	PROPN
ejpam-6488	107	14	=	=	SYM
ejpam-6488	107	15	1	1	NUM
ejpam-6488	107	16	,	,	PUNCT
ejpam-6488	107	17	2	2	NUM
ejpam-6488	107	18	}	}	PUNCT
ejpam-6488	107	19	}	}	PUNCT
ejpam-6488	107	20	)	)	PUNCT
ejpam-6488	107	21	.	.	PUNCT
ejpam-6488	108	1	consequently	consequently	ADV
ejpam-6488	108	2	,	,	PUNCT
ejpam-6488	108	3	∥jj(x	∥jj(x	PROPN
ejpam-6488	108	4	,	,	PUNCT
ejpam-6488	108	5	t	t	PROPN
ejpam-6488	108	6	,	,	PUNCT
ejpam-6488	108	7	ε)−	ε)−	PROPN
ejpam-6488	108	8	sn	sn	PROPN
ejpam-6488	108	9	(	(	PUNCT
ejpam-6488	108	10	x	x	PROPN
ejpam-6488	108	11	,	,	PUNCT
ejpam-6488	108	12	t	t	PROPN
ejpam-6488	108	13	,	,	PUNCT
ejpam-6488	108	14	ε)∥c[x0,x]×[0,t	ε)∥c[x0,x]×[0,t	PROPN
ejpam-6488	108	15	]	]	PUNCT
ejpam-6488	108	16	≤	≤	NUM
ejpam-6488	108	17	cnε	cnε	NOUN
ejpam-6488	108	18	n+1	n+1	PROPN
ejpam-6488	108	19	where	where	SCONJ
ejpam-6488	108	20	cn	cn	PROPN
ejpam-6488	108	21	>	>	X
ejpam-6488	108	22	0	0	NUM
ejpam-6488	108	23	is	be	AUX
ejpam-6488	108	24	a	a	DET
ejpam-6488	108	25	constant	constant	ADJ
ejpam-6488	108	26	independent	independent	NOUN
ejpam-6488	108	27	of	of	ADP
ejpam-6488	108	28	ε	ε	PROPN
ejpam-6488	108	29	for	for	ADP
ejpam-6488	108	30	ε	ε	PROPN
ejpam-6488	108	31	∈	∈	PROPN
ejpam-6488	108	32	(	(	PUNCT
ejpam-6488	108	33	0	0	NUM
ejpam-6488	108	34	,	,	PUNCT
ejpam-6488	108	35	ε0	ε0	PROPN
ejpam-6488	108	36	]	]	PUNCT
ejpam-6488	108	37	(	(	PUNCT
ejpam-6488	108	38	ε0	ε0	PROPN
ejpam-6488	108	39	>	>	X
ejpam-6488	108	40	0	0	NUM
ejpam-6488	108	41	is	be	AUX
ejpam-6488	108	42	sufficiently	sufficiently	ADV
ejpam-6488	108	43	small	small	ADJ
ejpam-6488	108	44	)	)	PUNCT
ejpam-6488	108	45	.	.	PUNCT
ejpam-6488	109	1	this	this	PRON
ejpam-6488	109	2	means	mean	VERB
ejpam-6488	109	3	that	that	SCONJ
ejpam-6488	109	4	the	the	DET
ejpam-6488	109	5	series	series	NOUN
ejpam-6488	109	6	(	(	PUNCT
ejpam-6488	109	7	2.4	2.4	NUM
ejpam-6488	109	8	)	)	PUNCT
ejpam-6488	109	9	)	)	PUNCT
ejpam-6488	109	10	converges	converge	VERB
ejpam-6488	109	11	to	to	ADP
ejpam-6488	109	12	the	the	DET
ejpam-6488	109	13	integral	integral	ADJ
ejpam-6488	109	14	asymptotically	asymptotically	NOUN
ejpam-6488	109	15	for	for	ADP
ejpam-6488	109	16	ε	ε	PROPN
ejpam-6488	109	17	→	→	SYM
ejpam-6488	109	18	+0	+0	PROPN
ejpam-6488	109	19	.	.	PUNCT
ejpam-6488	110	1	the	the	DET
ejpam-6488	110	2	theorem	theorem	NOUN
ejpam-6488	110	3	1	1	NUM
ejpam-6488	110	4	is	be	AUX
ejpam-6488	110	5	proved	prove	VERB
ejpam-6488	110	6	.	.	PUNCT
ejpam-6488	111	1	thus	thus	ADV
ejpam-6488	111	2	,	,	PUNCT
ejpam-6488	111	3	the	the	DET
ejpam-6488	111	4	image	image	NOUN
ejpam-6488	111	5	ju(t	ju(t	PRON
ejpam-6488	111	6	,	,	PUNCT
ejpam-6488	111	7	ε	ε	PROPN
ejpam-6488	111	8	)	)	PUNCT
ejpam-6488	111	9	is	be	AUX
ejpam-6488	111	10	expanded	expand	VERB
ejpam-6488	111	11	into	into	ADP
ejpam-6488	111	12	an	an	DET
ejpam-6488	111	13	asymptotic	asymptotic	ADJ
ejpam-6488	111	14	series	series	NOUN
ejpam-6488	111	15	ju(t	ju(t	PROPN
ejpam-6488	111	16	,	,	PUNCT
ejpam-6488	111	17	τ	τ	X
ejpam-6488	111	18	)	)	PUNCT
ejpam-6488	111	19	=	=	PUNCT
ejpam-6488	112	1	x∫	x∫	NUM
ejpam-6488	112	2	x0	x0	PROPN
ejpam-6488	112	3	k(x	k(x	PROPN
ejpam-6488	112	4	,	,	PUNCT
ejpam-6488	112	5	t	t	PROPN
ejpam-6488	112	6	,	,	PUNCT
ejpam-6488	112	7	s)u0(s	s)u0(s	PROPN
ejpam-6488	112	8	,	,	PUNCT
ejpam-6488	112	9	t)ds+	t)ds+	NUM
ejpam-6488	112	10	+	+	NUM
ejpam-6488	112	11	2∑	2∑	NOUN
ejpam-6488	112	12	j=1	j=1	NOUN
ejpam-6488	112	13	∞∑	∞∑	NUM
ejpam-6488	112	14	ν=0	ν=0	NOUN
ejpam-6488	112	15	(	(	PUNCT
ejpam-6488	112	16	−1)νεν+1	−1)νεν+1	NOUN
ejpam-6488	113	1	[	[	X
ejpam-6488	113	2	(	(	PUNCT
ejpam-6488	113	3	iνj	iνj	ADJ
ejpam-6488	113	4	(	(	PUNCT
ejpam-6488	113	5	k(x	k(x	PROPN
ejpam-6488	113	6	,	,	PUNCT
ejpam-6488	113	7	t	t	PROPN
ejpam-6488	113	8	,	,	PUNCT
ejpam-6488	113	9	s)uj(s	s)uj(s	NOUN
ejpam-6488	113	10	)	)	PUNCT
ejpam-6488	113	11	)	)	PUNCT
ejpam-6488	113	12	)	)	PUNCT
ejpam-6488	114	1	s	s	X
ejpam-6488	114	2	=	=	NOUN
ejpam-6488	114	3	x	x	NOUN
ejpam-6488	114	4	eτj	eτj	ADJ
ejpam-6488	114	5	−	−	PROPN
ejpam-6488	114	6	(	(	PUNCT
ejpam-6488	114	7	iνj	iνj	PROPN
ejpam-6488	114	8	(	(	PUNCT
ejpam-6488	114	9	k(t	k(t	NOUN
ejpam-6488	114	10	,	,	PUNCT
ejpam-6488	114	11	s)uj(s	s)uj(s	NOUN
ejpam-6488	114	12	)	)	PUNCT
ejpam-6488	114	13	)	)	PUNCT
ejpam-6488	114	14	)	)	PUNCT
ejpam-6488	115	1	s	s	X
ejpam-6488	115	2	=	=	NOUN
ejpam-6488	115	3	x0	x0	PROPN
ejpam-6488	115	4	]	]	PUNCT
ejpam-6488	115	5	where	where	SCONJ
ejpam-6488	115	6	τ	τ	PROPN
ejpam-6488	115	7	=	=	SYM
ejpam-6488	115	8	ψ(x	ψ(x	PROPN
ejpam-6488	115	9	)	)	PUNCT
ejpam-6488	115	10	ε	ε	PROPN
ejpam-6488	115	11	.	.	PUNCT
ejpam-6488	116	1	this	this	PRON
ejpam-6488	116	2	proves	prove	VERB
ejpam-6488	116	3	that	that	SCONJ
ejpam-6488	116	4	the	the	DET
ejpam-6488	116	5	class	class	NOUN
ejpam-6488	116	6	mε	mε	NOUN
ejpam-6488	116	7	is	be	AUX
ejpam-6488	116	8	asymptotically	asymptotically	ADV
ejpam-6488	116	9	invariant	invariant	ADJ
ejpam-6488	116	10	with	with	ADP
ejpam-6488	116	11	respect	respect	NOUN
ejpam-6488	116	12	to	to	ADP
ejpam-6488	116	13	the	the	DET
ejpam-6488	116	14	integral	integral	ADJ
ejpam-6488	116	15	operator	operator	NOUN
ejpam-6488	116	16	j	j	PROPN
ejpam-6488	116	17	.	.	PUNCT
ejpam-6488	117	1	let	let	VERB
ejpam-6488	117	2	us	we	PRON
ejpam-6488	117	3	now	now	ADV
ejpam-6488	117	4	construct	construct	VERB
ejpam-6488	117	5	an	an	DET
ejpam-6488	117	6	extension	extension	NOUN
ejpam-6488	117	7	of	of	ADP
ejpam-6488	117	8	the	the	DET
ejpam-6488	117	9	operator	operator	NOUN
ejpam-6488	117	10	(	(	PUNCT
ejpam-6488	117	11	2.2	2.2	NUM
ejpam-6488	117	12	)	)	PUNCT
ejpam-6488	117	13	.	.	PUNCT
ejpam-6488	118	1	if	if	SCONJ
ejpam-6488	118	2	now	now	ADV
ejpam-6488	118	3	the	the	DET
ejpam-6488	118	4	series	series	NOUN
ejpam-6488	118	5	u(x	u(x	PROPN
ejpam-6488	118	6	,	,	PUNCT
ejpam-6488	118	7	t	t	PROPN
ejpam-6488	118	8	,	,	PUNCT
ejpam-6488	118	9	τ	τ	PROPN
ejpam-6488	118	10	,	,	PUNCT
ejpam-6488	118	11	ε	ε	PROPN
ejpam-6488	118	12	)	)	PUNCT
ejpam-6488	118	13	=	=	PUNCT
ejpam-6488	119	1	∞∑	∞∑	NUM
ejpam-6488	119	2	k=0	k=0	PROPN
ejpam-6488	119	3	εkuk(x	εkuk(x	PROPN
ejpam-6488	119	4	,	,	PUNCT
ejpam-6488	119	5	t	t	PROPN
ejpam-6488	119	6	,	,	PUNCT
ejpam-6488	119	7	τ	τ	PROPN
ejpam-6488	119	8	)	)	PUNCT
ejpam-6488	119	9	,	,	PUNCT
ejpam-6488	119	10	uk(x	uk(x	ADP
ejpam-6488	119	11	,	,	PUNCT
ejpam-6488	119	12	t	t	PROPN
ejpam-6488	119	13	,	,	PUNCT
ejpam-6488	119	14	τ	τ	PROPN
ejpam-6488	119	15	)	)	PUNCT
ejpam-6488	119	16	∈	∈	PROPN
ejpam-6488	119	17	u	u	NOUN
ejpam-6488	119	18	(	(	PUNCT
ejpam-6488	119	19	2.5	2.5	NUM
ejpam-6488	119	20	)	)	PUNCT
ejpam-6488	119	21	on	on	ADP
ejpam-6488	119	22	the	the	DET
ejpam-6488	119	23	narrowing	narrow	VERB
ejpam-6488	119	24	τ	τ	NOUN
ejpam-6488	119	25	=	=	SYM
ejpam-6488	119	26	ψ(x	ψ(x	PROPN
ejpam-6488	119	27	)	)	PUNCT
ejpam-6488	119	28	ε	ε	PROPN
ejpam-6488	119	29	is	be	AUX
ejpam-6488	119	30	an	an	DET
ejpam-6488	119	31	asymptotic	asymptotic	ADJ
ejpam-6488	119	32	series	series	NOUN
ejpam-6488	119	33	for	for	ADP
ejpam-6488	119	34	ε	ε	PROPN
ejpam-6488	119	35	→	→	SYM
ejpam-6488	119	36	+0	+0	ADP
ejpam-6488	119	37	(	(	PUNCT
ejpam-6488	119	38	uniformly	uniformly	ADV
ejpam-6488	119	39	in	in	ADP
ejpam-6488	119	40	(	(	PUNCT
ejpam-6488	119	41	x	x	NOUN
ejpam-6488	119	42	,	,	PUNCT
ejpam-6488	119	43	t	t	PROPN
ejpam-6488	119	44	)	)	PUNCT
ejpam-6488	119	45	∈	∈	PROPN
ejpam-6488	119	46	∈	∈	PROPN
ejpam-6488	120	1	[	[	X
ejpam-6488	120	2	x0	x0	PROPN
ejpam-6488	120	3	,	,	PUNCT
ejpam-6488	120	4	x]×[0	x]×[0	PROPN
ejpam-6488	120	5	,	,	PUNCT
ejpam-6488	120	6	t	t	NOUN
ejpam-6488	120	7	]	]	PUNCT
ejpam-6488	120	8	)	)	PUNCT
ejpam-6488	120	9	,	,	PUNCT
ejpam-6488	120	10	then	then	ADV
ejpam-6488	120	11	the	the	DET
ejpam-6488	120	12	image	image	NOUN
ejpam-6488	120	13	of	of	ADP
ejpam-6488	120	14	ju(x	ju(x	NOUN
ejpam-6488	120	15	,	,	PUNCT
ejpam-6488	120	16	t	t	PROPN
ejpam-6488	120	17	,	,	PUNCT
ejpam-6488	120	18	τ	τ	PROPN
ejpam-6488	120	19	,	,	PUNCT
ejpam-6488	120	20	ε	ε	PROPN
ejpam-6488	120	21	)	)	PUNCT
ejpam-6488	120	22	,	,	PUNCT
ejpam-6488	120	23	obviously	obviously	ADV
ejpam-6488	120	24	,	,	PUNCT
ejpam-6488	120	25	will	will	AUX
ejpam-6488	120	26	be	be	AUX
ejpam-6488	120	27	the	the	DET
ejpam-6488	120	28	same	same	ADJ
ejpam-6488	120	29	.	.	PUNCT
ejpam-6488	121	1	to	to	PART
ejpam-6488	121	2	construct	construct	VERB
ejpam-6488	121	3	the	the	DET
ejpam-6488	121	4	series	series	NOUN
ejpam-6488	121	5	ju(t	ju(t	PROPN
ejpam-6488	121	6	,	,	PUNCT
ejpam-6488	121	7	τ	τ	PROPN
ejpam-6488	121	8	,	,	PUNCT
ejpam-6488	121	9	ε	ε	PROPN
ejpam-6488	121	10	)	)	PUNCT
ejpam-6488	121	11	,	,	PUNCT
ejpam-6488	121	12	we	we	PRON
ejpam-6488	121	13	introduce	introduce	VERB
ejpam-6488	121	14	the	the	DET
ejpam-6488	121	15	so	so	ADV
ejpam-6488	121	16	-	-	PUNCT
ejpam-6488	121	17	called	call	VERB
ejpam-6488	121	18	order	order	NOUN
ejpam-6488	121	19	operators	operator	NOUN
ejpam-6488	121	20	.	.	PUNCT
ejpam-6488	122	1	let	let	VERB
ejpam-6488	122	2	uk(x	uk(x	ADP
ejpam-6488	122	3	,	,	PUNCT
ejpam-6488	122	4	t	t	PROPN
ejpam-6488	122	5	,	,	PUNCT
ejpam-6488	122	6	τ	τ	PROPN
ejpam-6488	122	7	)	)	PUNCT
ejpam-6488	122	8	∈	∈	PROPN
ejpam-6488	122	9	u	u	NOUN
ejpam-6488	122	10	be	be	VERB
ejpam-6488	122	11	an	an	DET
ejpam-6488	122	12	arbitrary	arbitrary	ADJ
ejpam-6488	122	13	element	element	NOUN
ejpam-6488	122	14	(	(	PUNCT
ejpam-6488	122	15	2.3	2.3	NUM
ejpam-6488	122	16	)	)	PUNCT
ejpam-6488	122	17	.	.	PUNCT
ejpam-6488	123	1	then	then	ADV
ejpam-6488	123	2	we	we	PRON
ejpam-6488	123	3	have	have	VERB
ejpam-6488	123	4	the	the	DET
ejpam-6488	123	5	expansion	expansion	NOUN
ejpam-6488	123	6	(	(	PUNCT
ejpam-6488	123	7	2.5	2.5	NUM
ejpam-6488	123	8	)	)	PUNCT
ejpam-6488	123	9	,	,	PUNCT
ejpam-6488	123	10	which	which	PRON
ejpam-6488	123	11	can	can	AUX
ejpam-6488	123	12	be	be	AUX
ejpam-6488	123	13	written	write	VERB
ejpam-6488	123	14	as	as	ADP
ejpam-6488	123	15	ju(x	ju(x	NOUN
ejpam-6488	123	16	,	,	PUNCT
ejpam-6488	123	17	t	t	PROPN
ejpam-6488	123	18	,	,	PUNCT
ejpam-6488	123	19	τ	τ	X
ejpam-6488	123	20	)	)	PUNCT
ejpam-6488	123	21	=	=	SYM
ejpam-6488	123	22	r0u(x	r0u(x	PROPN
ejpam-6488	123	23	,	,	PUNCT
ejpam-6488	123	24	t	t	PROPN
ejpam-6488	123	25	,	,	PUNCT
ejpam-6488	123	26	τ	τ	X
ejpam-6488	123	27	)	)	PUNCT
ejpam-6488	123	28	+	+	CCONJ
ejpam-6488	123	29	∞∑	∞∑	NUM
ejpam-6488	123	30	ν=0	ν=0	PROPN
ejpam-6488	123	31	εk+1rν+1uν(x	εk+1rν+1uν(x	NOUN
ejpam-6488	123	32	,	,	PUNCT
ejpam-6488	123	33	t	t	PROPN
ejpam-6488	123	34	,	,	PUNCT
ejpam-6488	123	35	τ	τ	PROPN
ejpam-6488	123	36	)	)	PUNCT
ejpam-6488	123	37	(	(	PUNCT
ejpam-6488	123	38	2.6	2.6	NUM
ejpam-6488	123	39	)	)	PUNCT
ejpam-6488	123	40	where	where	SCONJ
ejpam-6488	123	41	τ	τ	PROPN
ejpam-6488	123	42	=	=	SYM
ejpam-6488	123	43	ψ(x	ψ(x	PROPN
ejpam-6488	123	44	)	)	PUNCT
ejpam-6488	123	45	ε	ε	PROPN
ejpam-6488	123	46	,	,	PUNCT
ejpam-6488	123	47	and	and	CCONJ
ejpam-6488	123	48	the	the	DET
ejpam-6488	123	49	order	order	NOUN
ejpam-6488	123	50	operators	operator	NOUN
ejpam-6488	123	51	rν	rν	PROPN
ejpam-6488	123	52	have	have	VERB
ejpam-6488	123	53	the	the	DET
ejpam-6488	123	54	form	form	NOUN
ejpam-6488	123	55	:	:	PUNCT
ejpam-6488	123	56	r0u(x	r0u(x	PROPN
ejpam-6488	123	57	,	,	PUNCT
ejpam-6488	123	58	t	t	PROPN
ejpam-6488	123	59	,	,	PUNCT
ejpam-6488	123	60	τ	τ	X
ejpam-6488	123	61	)	)	PUNCT
ejpam-6488	123	62	=	=	PUNCT
ejpam-6488	124	1	x∫	x∫	PROPN
ejpam-6488	124	2	0	0	X
ejpam-6488	124	3	k(x	k(x	PROPN
ejpam-6488	124	4	,	,	PUNCT
ejpam-6488	124	5	t	t	PROPN
ejpam-6488	124	6	,	,	PUNCT
ejpam-6488	124	7	s)u0	s)u0	PROPN
ejpam-6488	124	8	(	(	PUNCT
ejpam-6488	124	9	s	s	PROPN
ejpam-6488	124	10	,	,	PUNCT
ejpam-6488	124	11	t	t	NOUN
ejpam-6488	124	12	)	)	PUNCT
ejpam-6488	124	13	ds	ds	PROPN
ejpam-6488	124	14	,	,	PUNCT
ejpam-6488	124	15	(	(	PUNCT
ejpam-6488	124	16	2.70	2.70	NUM
ejpam-6488	124	17	)	)	PUNCT
ejpam-6488	124	18	m.	m.	NOUN
ejpam-6488	124	19	begaidarov	begaidarov	NOUN
ejpam-6488	124	20	,	,	PUNCT
ejpam-6488	124	21	d.	d.	PROPN
ejpam-6488	124	22	bibulova	bibulova	PROPN
ejpam-6488	124	23	,	,	PUNCT
ejpam-6488	124	24	b.	b.	PROPN
ejpam-6488	124	25	kalimbetov	kalimbetov	PROPN
ejpam-6488	124	26	/	/	SYM
ejpam-6488	124	27	eur	eur	PROPN
ejpam-6488	124	28	.	.	PUNCT
ejpam-6488	125	1	j.	j.	PROPN
ejpam-6488	125	2	pure	pure	PROPN
ejpam-6488	125	3	appl	appl	PROPN
ejpam-6488	125	4	.	.	PROPN
ejpam-6488	125	5	math	math	PROPN
ejpam-6488	125	6	,	,	PUNCT
ejpam-6488	125	7	18	18	NUM
ejpam-6488	125	8	(	(	PUNCT
ejpam-6488	125	9	4	4	NUM
ejpam-6488	125	10	)	)	PUNCT
ejpam-6488	125	11	(	(	PUNCT
ejpam-6488	125	12	2025	2025	NUM
ejpam-6488	125	13	)	)	PUNCT
ejpam-6488	125	14	,	,	PUNCT
ejpam-6488	125	15	6488	6488	NUM
ejpam-6488	125	16	7	7	NUM
ejpam-6488	125	17	of	of	ADP
ejpam-6488	125	18	20	20	NUM
ejpam-6488	125	19	r1u(x	r1u(x	NOUN
ejpam-6488	125	20	,	,	PUNCT
ejpam-6488	125	21	t	t	PROPN
ejpam-6488	125	22	,	,	PUNCT
ejpam-6488	125	23	τ	τ	X
ejpam-6488	125	24	)	)	PUNCT
ejpam-6488	125	25	=	=	SYM
ejpam-6488	126	1	2∑	2∑	NOUN
ejpam-6488	127	1	j=1	j=1	NOUN
ejpam-6488	128	1	[	[	X
ejpam-6488	128	2	(	(	PUNCT
ejpam-6488	128	3	i0j	i0j	PROPN
ejpam-6488	128	4	(	(	PUNCT
ejpam-6488	128	5	k(x	k(x	PROPN
ejpam-6488	128	6	,	,	PUNCT
ejpam-6488	128	7	t	t	PROPN
ejpam-6488	128	8	,	,	PUNCT
ejpam-6488	128	9	s)uj(s	s)uj(s	PROPN
ejpam-6488	128	10	,	,	PUNCT
ejpam-6488	128	11	t	t	PROPN
ejpam-6488	128	12	)	)	PUNCT
ejpam-6488	128	13	)	)	PUNCT
ejpam-6488	128	14	)	)	PUNCT
ejpam-6488	128	15	s	s	X
ejpam-6488	128	16	=	=	NOUN
ejpam-6488	128	17	x	x	NOUN
ejpam-6488	128	18	eτj	eτj	ADJ
ejpam-6488	128	19	−	−	PROPN
ejpam-6488	128	20	(	(	PUNCT
ejpam-6488	128	21	i0j	i0j	PROPN
ejpam-6488	128	22	(	(	PUNCT
ejpam-6488	128	23	k(x	k(x	PROPN
ejpam-6488	128	24	,	,	PUNCT
ejpam-6488	128	25	t	t	PROPN
ejpam-6488	128	26	,	,	PUNCT
ejpam-6488	128	27	s)uj(s	s)uj(s	PROPN
ejpam-6488	128	28	,	,	PUNCT
ejpam-6488	128	29	t	t	PROPN
ejpam-6488	128	30	)	)	PUNCT
ejpam-6488	128	31	)	)	PUNCT
ejpam-6488	128	32	)	)	PUNCT
ejpam-6488	129	1	s	s	X
ejpam-6488	130	1	=	=	NOUN
ejpam-6488	130	2	x0	x0	PROPN
ejpam-6488	130	3	]	]	PUNCT
ejpam-6488	130	4	,	,	PUNCT
ejpam-6488	130	5	(	(	PUNCT
ejpam-6488	130	6	2.71	2.71	NUM
ejpam-6488	130	7	)	)	PUNCT
ejpam-6488	130	8	rν+1u(x	rν+1u(x	NOUN
ejpam-6488	130	9	,	,	PUNCT
ejpam-6488	130	10	t	t	PROPN
ejpam-6488	130	11	,	,	PUNCT
ejpam-6488	130	12	τ	τ	X
ejpam-6488	130	13	)	)	PUNCT
ejpam-6488	130	14	=	=	SYM
ejpam-6488	131	1	2∑	2∑	NUM
ejpam-6488	131	2	j=1	j=1	NOUN
ejpam-6488	131	3	[	[	PUNCT
ejpam-6488	131	4	(	(	PUNCT
ejpam-6488	131	5	iνj	iνj	X
ejpam-6488	131	6	(	(	PUNCT
ejpam-6488	131	7	k(x	k(x	PROPN
ejpam-6488	131	8	,	,	PUNCT
ejpam-6488	131	9	t	t	PROPN
ejpam-6488	131	10	,	,	PUNCT
ejpam-6488	131	11	s)uj(s	s)uj(s	PROPN
ejpam-6488	131	12	,	,	PUNCT
ejpam-6488	131	13	t	t	PROPN
ejpam-6488	131	14	)	)	PUNCT
ejpam-6488	131	15	)	)	PUNCT
ejpam-6488	131	16	)	)	PUNCT
ejpam-6488	132	1	s	s	X
ejpam-6488	132	2	=	=	NOUN
ejpam-6488	132	3	x	x	NOUN
ejpam-6488	132	4	eτj	eτj	ADJ
ejpam-6488	132	5	−	−	PROPN
ejpam-6488	132	6	(	(	PUNCT
ejpam-6488	132	7	iνj	iνj	PROPN
ejpam-6488	132	8	(	(	PUNCT
ejpam-6488	132	9	k(x	k(x	PROPN
ejpam-6488	132	10	,	,	PUNCT
ejpam-6488	132	11	t	t	PROPN
ejpam-6488	132	12	,	,	PUNCT
ejpam-6488	132	13	s)uj(s	s)uj(s	PROPN
ejpam-6488	132	14	,	,	PUNCT
ejpam-6488	132	15	t	t	PROPN
ejpam-6488	132	16	)	)	PUNCT
ejpam-6488	132	17	)	)	PUNCT
ejpam-6488	132	18	)	)	PUNCT
ejpam-6488	133	1	s	s	X
ejpam-6488	134	1	=	=	NOUN
ejpam-6488	134	2	x0	x0	PROPN
ejpam-6488	134	3	]	]	X
ejpam-6488	134	4	,	,	PUNCT
ejpam-6488	134	5	ν	ν	X
ejpam-6488	134	6	≥	≥	NOUN
ejpam-6488	134	7	1	1	NUM
ejpam-6488	134	8	.	.	PUNCT
ejpam-6488	134	9	(	(	PUNCT
ejpam-6488	134	10	2.7ν+1	2.7ν+1	NOUN
ejpam-6488	134	11	)	)	PUNCT
ejpam-6488	134	12	the	the	DET
ejpam-6488	134	13	rν	rν	NOUN
ejpam-6488	134	14	:	:	PUNCT
ejpam-6488	134	15	u	u	PROPN
ejpam-6488	134	16	→	→	SYM
ejpam-6488	134	17	u	u	NOUN
ejpam-6488	134	18	operators	operator	NOUN
ejpam-6488	134	19	are	be	AUX
ejpam-6488	134	20	called	call	VERB
ejpam-6488	134	21	order	order	NOUN
ejpam-6488	134	22	operators	operator	NOUN
ejpam-6488	134	23	because	because	SCONJ
ejpam-6488	134	24	they	they	PRON
ejpam-6488	134	25	extract	extract	VERB
ejpam-6488	134	26	the	the	DET
ejpam-6488	134	27	sum	sum	NOUN
ejpam-6488	134	28	of	of	ADP
ejpam-6488	134	29	the	the	DET
ejpam-6488	134	30	terms	term	NOUN
ejpam-6488	134	31	of	of	ADP
ejpam-6488	134	32	the	the	DET
ejpam-6488	134	33	order	order	NOUN
ejpam-6488	134	34	ν	ν	NOUN
ejpam-6488	134	35	with	with	ADP
ejpam-6488	134	36	respect	respect	NOUN
ejpam-6488	134	37	to	to	ADP
ejpam-6488	134	38	the	the	DET
ejpam-6488	134	39	parameter	parameter	NOUN
ejpam-6488	134	40	ε	ε	PROPN
ejpam-6488	134	41	in	in	ADP
ejpam-6488	134	42	the	the	DET
ejpam-6488	134	43	expression	expression	NOUN
ejpam-6488	134	44	ju(t	ju(t	PUNCT
ejpam-6488	134	45	,	,	PUNCT
ejpam-6488	134	46	τ	τ	PROPN
ejpam-6488	134	47	)	)	PUNCT
ejpam-6488	134	48	.	.	PUNCT
ejpam-6488	135	1	applying	apply	VERB
ejpam-6488	135	2	the	the	DET
ejpam-6488	135	3	operator	operator	NOUN
ejpam-6488	135	4	j	j	PROPN
ejpam-6488	135	5	to	to	ADP
ejpam-6488	135	6	the	the	DET
ejpam-6488	135	7	series	series	NOUN
ejpam-6488	135	8	(	(	PUNCT
ejpam-6488	135	9	2.5	2.5	NUM
ejpam-6488	135	10	)	)	PUNCT
ejpam-6488	135	11	,	,	PUNCT
ejpam-6488	135	12	and	and	CCONJ
ejpam-6488	135	13	then	then	ADV
ejpam-6488	135	14	using	use	VERB
ejpam-6488	135	15	formulas	formula	NOUN
ejpam-6488	135	16	(	(	PUNCT
ejpam-6488	135	17	2.6),(2.70	2.6),(2.70	NUM
ejpam-6488	135	18	)	)	PUNCT
ejpam-6488	135	19	,	,	PUNCT
ejpam-6488	135	20	.	.	PUNCT
ejpam-6488	135	21	.	.	PUNCT
ejpam-6488	136	1	.	.	PUNCT
ejpam-6488	137	1	,	,	PUNCT
ejpam-6488	137	2	(	(	PUNCT
ejpam-6488	137	3	2.7ν+1	2.7ν+1	NOUN
ejpam-6488	137	4	)	)	PUNCT
ejpam-6488	137	5	,	,	PUNCT
ejpam-6488	137	6	and	and	CCONJ
ejpam-6488	137	7	collecting	collect	VERB
ejpam-6488	137	8	the	the	DET
ejpam-6488	137	9	coefficients	coefficient	NOUN
ejpam-6488	137	10	at	at	ADP
ejpam-6488	137	11	the	the	DET
ejpam-6488	137	12	same	same	ADJ
ejpam-6488	137	13	powers	power	NOUN
ejpam-6488	137	14	of	of	ADP
ejpam-6488	137	15	ε	ε	PROPN
ejpam-6488	137	16	,	,	PUNCT
ejpam-6488	137	17	we	we	PRON
ejpam-6488	137	18	arrive	arrive	VERB
ejpam-6488	137	19	at	at	ADP
ejpam-6488	137	20	the	the	DET
ejpam-6488	137	21	following	following	ADJ
ejpam-6488	137	22	expression	expression	NOUN
ejpam-6488	137	23	for	for	ADP
ejpam-6488	137	24	ju(x	ju(x	NOUN
ejpam-6488	137	25	,	,	PUNCT
ejpam-6488	137	26	t	t	PROPN
ejpam-6488	137	27	,	,	PUNCT
ejpam-6488	137	28	τ	τ	PROPN
ejpam-6488	137	29	,	,	PUNCT
ejpam-6488	137	30	ε	ε	PROPN
ejpam-6488	137	31	):	):	PUNCT
ejpam-6488	137	32	ju(x	ju(x	PROPN
ejpam-6488	137	33	,	,	PUNCT
ejpam-6488	137	34	t	t	PROPN
ejpam-6488	137	35	,	,	PUNCT
ejpam-6488	137	36	τ	τ	PROPN
ejpam-6488	137	37	,	,	PUNCT
ejpam-6488	137	38	ε	ε	PROPN
ejpam-6488	137	39	)	)	PUNCT
ejpam-6488	137	40	=	=	PROPN
ejpam-6488	138	1	∞∑	∞∑	NUM
ejpam-6488	138	2	k=0	k=0	PROPN
ejpam-6488	138	3	εkjuk(x	εkjuk(x	PROPN
ejpam-6488	138	4	,	,	PUNCT
ejpam-6488	138	5	t	t	PROPN
ejpam-6488	138	6	,	,	PUNCT
ejpam-6488	138	7	τ	τ	X
ejpam-6488	138	8	)	)	PUNCT
ejpam-6488	138	9	=	=	PUNCT
ejpam-6488	139	1	∞∑	∞∑	NUM
ejpam-6488	139	2	r=0	r=0	ADJ
ejpam-6488	139	3	εr	εr	X
ejpam-6488	139	4	r∑	r∑	X
ejpam-6488	139	5	s=0	s=0	X
ejpam-6488	139	6	rr−sus(x	rr−sus(x	PROPN
ejpam-6488	139	7	,	,	PUNCT
ejpam-6488	139	8	t	t	PROPN
ejpam-6488	139	9	,	,	PUNCT
ejpam-6488	139	10	τ)|τ	τ)|τ	NOUN
ejpam-6488	139	11	=	=	SYM
ejpam-6488	139	12	ψ(x)/ε	ψ(x)/ε	PROPN
ejpam-6488	139	13	.	.	PUNCT
ejpam-6488	140	1	this	this	DET
ejpam-6488	140	2	equality	equality	NOUN
ejpam-6488	140	3	is	be	AUX
ejpam-6488	140	4	the	the	DET
ejpam-6488	140	5	basis	basis	NOUN
ejpam-6488	140	6	for	for	ADP
ejpam-6488	140	7	defining	define	VERB
ejpam-6488	140	8	the	the	DET
ejpam-6488	140	9	extension	extension	NOUN
ejpam-6488	140	10	of	of	ADP
ejpam-6488	140	11	the	the	DET
ejpam-6488	140	12	operator	operator	NOUN
ejpam-6488	140	13	j	j	PROPN
ejpam-6488	140	14	.	.	PUNCT
ejpam-6488	141	1	definition	definition	NOUN
ejpam-6488	141	2	2	2	NUM
ejpam-6488	141	3	.	.	PUNCT
ejpam-6488	142	1	the	the	DET
ejpam-6488	142	2	formal	formal	ADJ
ejpam-6488	142	3	extension	extension	NOUN
ejpam-6488	142	4	of	of	ADP
ejpam-6488	142	5	the	the	DET
ejpam-6488	142	6	integral	integral	ADJ
ejpam-6488	142	7	operator	operator	NOUN
ejpam-6488	142	8	(	(	PUNCT
ejpam-6488	142	9	2.2	2.2	NUM
ejpam-6488	142	10	)	)	PUNCT
ejpam-6488	142	11	is	be	AUX
ejpam-6488	142	12	the	the	DET
ejpam-6488	142	13	operator	operator	NOUN
ejpam-6488	142	14	j̃	j̃	PROPN
ejpam-6488	142	15	,	,	PUNCT
ejpam-6488	142	16	which	which	PRON
ejpam-6488	142	17	acts	act	VERB
ejpam-6488	142	18	on	on	ADP
ejpam-6488	142	19	each	each	DET
ejpam-6488	142	20	function	function	NOUN
ejpam-6488	142	21	of	of	ADP
ejpam-6488	142	22	the	the	DET
ejpam-6488	142	23	form	form	NOUN
ejpam-6488	142	24	(	(	PUNCT
ejpam-6488	142	25	2.6	2.6	NUM
ejpam-6488	142	26	)	)	PUNCT
ejpam-6488	142	27	according	accord	VERB
ejpam-6488	142	28	to	to	ADP
ejpam-6488	142	29	the	the	DET
ejpam-6488	142	30	law	law	NOUN
ejpam-6488	142	31	j̃u(x	j̃u(x	NOUN
ejpam-6488	142	32	,	,	PUNCT
ejpam-6488	143	1	t	t	PROPN
ejpam-6488	143	2	,	,	PUNCT
ejpam-6488	143	3	τ	τ	PROPN
ejpam-6488	143	4	,	,	PUNCT
ejpam-6488	143	5	ε	ε	PROPN
ejpam-6488	143	6	)	)	PUNCT
ejpam-6488	143	7	≡	≡	PROPN
ejpam-6488	143	8	j̃	j̃	PROPN
ejpam-6488	143	9	(	(	PUNCT
ejpam-6488	143	10	∞∑	∞∑	PROPN
ejpam-6488	143	11	k=0	k=0	PROPN
ejpam-6488	143	12	εkuk(x	εkuk(x	PROPN
ejpam-6488	143	13	,	,	PUNCT
ejpam-6488	143	14	t	t	PROPN
ejpam-6488	143	15	,	,	PUNCT
ejpam-6488	143	16	τ	τ	PROPN
ejpam-6488	143	17	)	)	PUNCT
ejpam-6488	143	18	)	)	PUNCT
ejpam-6488	144	1	def	def	NOUN
ejpam-6488	144	2	=	=	PUNCT
ejpam-6488	144	3	∞∑	∞∑	NUM
ejpam-6488	144	4	r=0	r=0	ADJ
ejpam-6488	144	5	εr	εr	X
ejpam-6488	144	6	r∑	r∑	X
ejpam-6488	144	7	s=0	s=0	X
ejpam-6488	144	8	rr−sus(x	rr−sus(x	PROPN
ejpam-6488	144	9	,	,	PUNCT
ejpam-6488	144	10	t	t	PROPN
ejpam-6488	144	11	,	,	PUNCT
ejpam-6488	144	12	τ	τ	PROPN
ejpam-6488	144	13	)	)	PUNCT
ejpam-6488	144	14	.	.	PUNCT
ejpam-6488	145	1	(	(	PUNCT
ejpam-6488	145	2	2.8	2.8	NUM
ejpam-6488	145	3	)	)	PUNCT
ejpam-6488	145	4	the	the	DET
ejpam-6488	145	5	operator	operator	NOUN
ejpam-6488	145	6	j̃	j̃	PROPN
ejpam-6488	145	7	is	be	AUX
ejpam-6488	145	8	defined	define	VERB
ejpam-6488	145	9	at	at	ADP
ejpam-6488	145	10	least	least	ADJ
ejpam-6488	145	11	in	in	ADP
ejpam-6488	145	12	the	the	DET
ejpam-6488	145	13	class	class	NOUN
ejpam-6488	145	14	of	of	ADP
ejpam-6488	145	15	series	series	NOUN
ejpam-6488	145	16	(	(	PUNCT
ejpam-6488	145	17	2.5	2.5	NUM
ejpam-6488	145	18	)	)	PUNCT
ejpam-6488	145	19	(	(	PUNCT
ejpam-6488	145	20	with	with	ADP
ejpam-6488	145	21	coefficients	coefficient	NOUN
ejpam-6488	145	22	uk(x	uk(x	ADP
ejpam-6488	145	23	,	,	PUNCT
ejpam-6488	145	24	t	t	PROPN
ejpam-6488	145	25	,	,	PUNCT
ejpam-6488	145	26	τ	τ	PROPN
ejpam-6488	145	27	)	)	PUNCT
ejpam-6488	145	28	∈	∈	PROPN
ejpam-6488	145	29	∈	∈	PROPN
ejpam-6488	145	30	u	u	NOUN
ejpam-6488	145	31	)	)	PUNCT
ejpam-6488	145	32	converging	converge	VERB
ejpam-6488	145	33	asymptotically	asymptotically	ADV
ejpam-6488	145	34	at	at	ADP
ejpam-6488	145	35	ε	ε	PROPN
ejpam-6488	145	36	→	→	SYM
ejpam-6488	145	37	+0	+0	ADP
ejpam-6488	145	38	(	(	PUNCT
ejpam-6488	145	39	uniformly	uniformly	ADV
ejpam-6488	145	40	in	in	ADP
ejpam-6488	145	41	(	(	PUNCT
ejpam-6488	145	42	x	x	NOUN
ejpam-6488	145	43	,	,	PUNCT
ejpam-6488	145	44	t	t	PROPN
ejpam-6488	145	45	,	,	PUNCT
ejpam-6488	145	46	τ	τ	PROPN
ejpam-6488	145	47	)	)	PUNCT
ejpam-6488	145	48	∈	∈	PROPN
ejpam-6488	146	1	[	[	X
ejpam-6488	146	2	x0	x0	PROPN
ejpam-6488	146	3	,	,	PUNCT
ejpam-6488	146	4	x	x	X
ejpam-6488	146	5	]	]	X
ejpam-6488	146	6	×	×	NOUN
ejpam-6488	146	7	[	[	X
ejpam-6488	146	8	0	0	NUM
ejpam-6488	146	9	,	,	PUNCT
ejpam-6488	146	10	t	t	X
ejpam-6488	146	11	]	]	X
ejpam-6488	146	12	×	×	PROPN
ejpam-6488	146	13	×{τ	×{τ	PROPN
ejpam-6488	146	14	:	:	PUNCT
ejpam-6488	146	15	reτj	reτj	ADJ
ejpam-6488	146	16	≤	≤	NUM
ejpam-6488	146	17	0	0	NUM
ejpam-6488	146	18	,	,	PUNCT
ejpam-6488	146	19	j	j	PROPN
ejpam-6488	146	20	=	=	SYM
ejpam-6488	146	21	1	1	NUM
ejpam-6488	146	22	,	,	PUNCT
ejpam-6488	146	23	2	2	NUM
ejpam-6488	146	24	}	}	PUNCT
ejpam-6488	146	25	.	.	PUNCT
ejpam-6488	147	1	now	now	ADV
ejpam-6488	147	2	we	we	PRON
ejpam-6488	147	3	can	can	AUX
ejpam-6488	147	4	write	write	VERB
ejpam-6488	147	5	the	the	DET
ejpam-6488	147	6	system	system	NOUN
ejpam-6488	147	7	,	,	PUNCT
ejpam-6488	147	8	completely	completely	ADV
ejpam-6488	147	9	regularized	regularize	VERB
ejpam-6488	147	10	with	with	ADP
ejpam-6488	147	11	respect	respect	NOUN
ejpam-6488	147	12	to	to	ADP
ejpam-6488	147	13	the	the	DET
ejpam-6488	147	14	original	original	ADJ
ejpam-6488	147	15	problem	problem	NOUN
ejpam-6488	147	16	(	(	PUNCT
ejpam-6488	147	17	1.1	1.1	NUM
ejpam-6488	147	18	):	):	PUNCT
ejpam-6488	147	19	lεu(x	lεu(x	PROPN
ejpam-6488	147	20	,	,	PUNCT
ejpam-6488	147	21	t	t	PROPN
ejpam-6488	147	22	,	,	PUNCT
ejpam-6488	147	23	τ	τ	PROPN
ejpam-6488	147	24	,	,	PUNCT
ejpam-6488	147	25	ε	ε	PROPN
ejpam-6488	147	26	)	)	PUNCT
ejpam-6488	147	27	≡	≡	PROPN
ejpam-6488	147	28	ε∂u∂x	ε∂u∂x	PRON
ejpam-6488	148	1	+	+	NUM
ejpam-6488	148	2	2∑	2∑	NUM
ejpam-6488	148	3	j=1	j=1	NOUN
ejpam-6488	148	4	λj(x	λj(x	X
ejpam-6488	148	5	)	)	PUNCT
ejpam-6488	148	6	∂u	∂u	PROPN
ejpam-6488	149	1	∂τi	∂τi	VERB
ejpam-6488	149	2	−	−	PROPN
ejpam-6488	149	3	λ1(x)ũ−	λ1(x)ũ−	VERB
ejpam-6488	149	4	j̃u	j̃u	NOUN
ejpam-6488	149	5	=	=	SYM
ejpam-6488	149	6	h1(x	h1(x	PROPN
ejpam-6488	149	7	,	,	PUNCT
ejpam-6488	149	8	t)+	t)+	NOUN
ejpam-6488	149	9	+	+	PROPN
ejpam-6488	149	10	h2(x	h2(x	PROPN
ejpam-6488	149	11	,	,	PUNCT
ejpam-6488	149	12	t)e	t)e	SYM
ejpam-6488	149	13	τ2σ	τ2σ	PROPN
ejpam-6488	149	14	,	,	PUNCT
ejpam-6488	149	15	ũ(x0	ũ(x0	PROPN
ejpam-6488	149	16	,	,	PUNCT
ejpam-6488	149	17	t	t	PROPN
ejpam-6488	149	18	,	,	PUNCT
ejpam-6488	149	19	0	0	NUM
ejpam-6488	149	20	,	,	PUNCT
ejpam-6488	149	21	ε	ε	PROPN
ejpam-6488	149	22	)	)	PUNCT
ejpam-6488	149	23	=	=	SYM
ejpam-6488	150	1	y0(t	y0(t	PROPN
ejpam-6488	150	2	)	)	PUNCT
ejpam-6488	150	3	,	,	PUNCT
ejpam-6488	150	4	(	(	PUNCT
ejpam-6488	150	5	(	(	PUNCT
ejpam-6488	150	6	x	x	NOUN
ejpam-6488	150	7	,	,	PUNCT
ejpam-6488	150	8	t	t	PROPN
ejpam-6488	150	9	)	)	PUNCT
ejpam-6488	150	10	∈	∈	PROPN
ejpam-6488	151	1	[	[	X
ejpam-6488	151	2	x0	x0	PROPN
ejpam-6488	151	3	,	,	PUNCT
ejpam-6488	151	4	x]×	x]×	NOUN
ejpam-6488	152	1	[	[	X
ejpam-6488	152	2	0	0	NUM
ejpam-6488	152	3	,	,	PUNCT
ejpam-6488	152	4	t	t	X
ejpam-6488	152	5	]	]	PUNCT
ejpam-6488	152	6	)	)	PUNCT
ejpam-6488	152	7	(	(	PUNCT
ejpam-6488	152	8	2.9	2.9	NUM
ejpam-6488	152	9	)	)	PUNCT
ejpam-6488	152	10	where	where	SCONJ
ejpam-6488	152	11	the	the	DET
ejpam-6488	152	12	operator	operator	NOUN
ejpam-6488	152	13	j̃	j̃	PROPN
ejpam-6488	152	14	has	have	VERB
ejpam-6488	152	15	the	the	DET
ejpam-6488	152	16	form	form	NOUN
ejpam-6488	152	17	(	(	PUNCT
ejpam-6488	152	18	2.8	2.8	NUM
ejpam-6488	152	19	)	)	PUNCT
ejpam-6488	152	20	.	.	PUNCT
ejpam-6488	153	1	3	3	X
ejpam-6488	153	2	.	.	X
ejpam-6488	153	3	solvability	solvability	NOUN
ejpam-6488	153	4	of	of	ADP
ejpam-6488	153	5	iterative	iterative	NOUN
ejpam-6488	153	6	problems	problem	NOUN
ejpam-6488	153	7	we	we	PRON
ejpam-6488	153	8	will	will	AUX
ejpam-6488	153	9	define	define	VERB
ejpam-6488	153	10	the	the	DET
ejpam-6488	153	11	solution	solution	NOUN
ejpam-6488	153	12	of	of	ADP
ejpam-6488	153	13	system	system	NOUN
ejpam-6488	153	14	(	(	PUNCT
ejpam-6488	153	15	2.9	2.9	NUM
ejpam-6488	153	16	)	)	PUNCT
ejpam-6488	153	17	in	in	ADP
ejpam-6488	153	18	the	the	DET
ejpam-6488	153	19	form	form	NOUN
ejpam-6488	153	20	of	of	ADP
ejpam-6488	153	21	series	series	NOUN
ejpam-6488	153	22	(	(	PUNCT
ejpam-6488	153	23	2.5	2.5	NUM
ejpam-6488	153	24	)	)	PUNCT
ejpam-6488	153	25	.	.	PUNCT
ejpam-6488	154	1	substituting	substitute	VERB
ejpam-6488	154	2	(	(	PUNCT
ejpam-6488	154	3	2.5	2.5	NUM
ejpam-6488	154	4	)	)	PUNCT
ejpam-6488	154	5	into	into	ADP
ejpam-6488	154	6	(	(	PUNCT
ejpam-6488	154	7	2.9	2.9	NUM
ejpam-6488	154	8	)	)	PUNCT
ejpam-6488	154	9	and	and	CCONJ
ejpam-6488	154	10	equating	equate	VERB
ejpam-6488	154	11	(	(	PUNCT
ejpam-6488	154	12	2.70	2.70	NUM
ejpam-6488	154	13	)	)	PUNCT
ejpam-6488	154	14	,	,	PUNCT
ejpam-6488	154	15	.	.	PUNCT
ejpam-6488	154	16	.	.	PUNCT
ejpam-6488	154	17	.	.	PUNCT
ejpam-6488	155	1	,	,	PUNCT
ejpam-6488	155	2	(	(	PUNCT
ejpam-6488	155	3	2.7ν+1	2.7ν+1	NOUN
ejpam-6488	155	4	)	)	PUNCT
ejpam-6488	155	5	the	the	DET
ejpam-6488	155	6	coefficients	coefficient	NOUN
ejpam-6488	155	7	ε	ε	VERB
ejpam-6488	155	8	at	at	ADP
ejpam-6488	155	9	the	the	DET
ejpam-6488	155	10	same	same	ADJ
ejpam-6488	155	11	powers	power	NOUN
ejpam-6488	155	12	(	(	PUNCT
ejpam-6488	155	13	taking	take	VERB
ejpam-6488	155	14	into	into	ADP
ejpam-6488	155	15	account	account	NOUN
ejpam-6488	155	16	the	the	DET
ejpam-6488	155	17	formulas	formula	NOUN
ejpam-6488	155	18	(	(	PUNCT
ejpam-6488	155	19	2.70	2.70	NUM
ejpam-6488	155	20	)	)	PUNCT
ejpam-6488	155	21	,	,	PUNCT
ejpam-6488	155	22	.	.	PUNCT
ejpam-6488	155	23	.	.	PUNCT
ejpam-6488	155	24	.	.	PUNCT
ejpam-6488	156	1	,	,	PUNCT
ejpam-6488	156	2	(	(	PUNCT
ejpam-6488	156	3	2.7ν+1	2.7ν+1	NOUN
ejpam-6488	156	4	)	)	PUNCT
ejpam-6488	156	5	)	)	PUNCT
ejpam-6488	156	6	,	,	PUNCT
ejpam-6488	156	7	we	we	PRON
ejpam-6488	156	8	obtain	obtain	VERB
ejpam-6488	156	9	the	the	DET
ejpam-6488	156	10	following	follow	VERB
ejpam-6488	156	11	systems	system	NOUN
ejpam-6488	156	12	of	of	ADP
ejpam-6488	156	13	m.	m.	NOUN
ejpam-6488	156	14	begaidarov	begaidarov	PROPN
ejpam-6488	156	15	,	,	PUNCT
ejpam-6488	156	16	d.	d.	PROPN
ejpam-6488	156	17	bibulova	bibulova	PROPN
ejpam-6488	156	18	,	,	PUNCT
ejpam-6488	156	19	b.	b.	PROPN
ejpam-6488	156	20	kalimbetov	kalimbetov	PROPN
ejpam-6488	156	21	/	/	SYM
ejpam-6488	156	22	eur	eur	PROPN
ejpam-6488	156	23	.	.	PUNCT
ejpam-6488	157	1	j.	j.	PROPN
ejpam-6488	157	2	pure	pure	PROPN
ejpam-6488	157	3	appl	appl	PROPN
ejpam-6488	157	4	.	.	PROPN
ejpam-6488	157	5	math	math	PROPN
ejpam-6488	157	6	,	,	PUNCT
ejpam-6488	157	7	18	18	NUM
ejpam-6488	157	8	(	(	PUNCT
ejpam-6488	157	9	4	4	NUM
ejpam-6488	157	10	)	)	PUNCT
ejpam-6488	157	11	(	(	PUNCT
ejpam-6488	157	12	2025	2025	NUM
ejpam-6488	157	13	)	)	PUNCT
ejpam-6488	157	14	,	,	PUNCT
ejpam-6488	157	15	6488	6488	NUM
ejpam-6488	157	16	8	8	NUM
ejpam-6488	157	17	of	of	ADP
ejpam-6488	157	18	20	20	NUM
ejpam-6488	157	19	equations	equation	NOUN
ejpam-6488	157	20	:	:	PUNCT
ejpam-6488	157	21	lu0(x	lu0(x	PROPN
ejpam-6488	157	22	,	,	PUNCT
ejpam-6488	157	23	t	t	PROPN
ejpam-6488	157	24	,	,	PUNCT
ejpam-6488	157	25	τ	τ	PROPN
ejpam-6488	157	26	)	)	PUNCT
ejpam-6488	158	1	≡	≡	PROPN
ejpam-6488	158	2	2∑	2∑	NUM
ejpam-6488	158	3	j=1	j=1	NOUN
ejpam-6488	158	4	λj(x	λj(x	X
ejpam-6488	158	5	)	)	PUNCT
ejpam-6488	158	6	∂u0	∂u0	NOUN
ejpam-6488	158	7	∂τj	∂τj	PROPN
ejpam-6488	158	8	−	−	PROPN
ejpam-6488	159	1	λ1(x)u0	λ1(x)u0	NOUN
ejpam-6488	160	1	−r0u0	−r0u0	NOUN
ejpam-6488	160	2	=	=	SYM
ejpam-6488	160	3	=	=	SYM
ejpam-6488	160	4	h1(x	h1(x	PROPN
ejpam-6488	160	5	,	,	PUNCT
ejpam-6488	160	6	t	t	PROPN
ejpam-6488	160	7	)	)	PUNCT
ejpam-6488	160	8	+	+	NUM
ejpam-6488	160	9	h2(x	h2(x	PROPN
ejpam-6488	160	10	,	,	PUNCT
ejpam-6488	160	11	t)e	t)e	SYM
ejpam-6488	160	12	τ2σ	τ2σ	PROPN
ejpam-6488	160	13	,	,	PUNCT
ejpam-6488	160	14	u0(x0	u0(x0	PROPN
ejpam-6488	160	15	,	,	PUNCT
ejpam-6488	160	16	t	t	PROPN
ejpam-6488	160	17	,	,	PUNCT
ejpam-6488	160	18	0	0	NUM
ejpam-6488	160	19	)	)	PUNCT
ejpam-6488	160	20	=	=	SYM
ejpam-6488	160	21	y0(t	y0(t	PROPN
ejpam-6488	160	22	)	)	PUNCT
ejpam-6488	160	23	;	;	PUNCT
ejpam-6488	160	24	(	(	PUNCT
ejpam-6488	160	25	3.10	3.10	NUM
ejpam-6488	160	26	)	)	PUNCT
ejpam-6488	160	27	lu1(x	lu1(x	PROPN
ejpam-6488	160	28	,	,	PUNCT
ejpam-6488	160	29	t	t	PROPN
ejpam-6488	160	30	,	,	PUNCT
ejpam-6488	160	31	τ	τ	X
ejpam-6488	160	32	)	)	PUNCT
ejpam-6488	160	33	=	=	PUNCT
ejpam-6488	161	1	−∂u0	−∂u0	ADP
ejpam-6488	161	2	∂x	∂x	PROPN
ejpam-6488	162	1	+	+	PROPN
ejpam-6488	162	2	r1u0	r1u0	PROPN
ejpam-6488	162	3	,	,	PUNCT
ejpam-6488	162	4	u1(x0	u1(x0	PROPN
ejpam-6488	162	5	,	,	PUNCT
ejpam-6488	162	6	t	t	PROPN
ejpam-6488	162	7	,	,	PUNCT
ejpam-6488	162	8	0	0	NUM
ejpam-6488	162	9	)	)	PUNCT
ejpam-6488	162	10	=	=	SYM
ejpam-6488	162	11	0	0	NUM
ejpam-6488	162	12	;	;	PUNCT
ejpam-6488	162	13	(	(	PUNCT
ejpam-6488	162	14	3.11	3.11	NUM
ejpam-6488	162	15	)	)	PUNCT
ejpam-6488	162	16	lu2(x	lu2(x	PROPN
ejpam-6488	162	17	,	,	PUNCT
ejpam-6488	162	18	t	t	PROPN
ejpam-6488	162	19	,	,	PUNCT
ejpam-6488	162	20	τ	τ	X
ejpam-6488	162	21	)	)	PUNCT
ejpam-6488	162	22	=	=	SYM
ejpam-6488	163	1	−∂u1	−∂u1	PROPN
ejpam-6488	163	2	∂x	∂x	PROPN
ejpam-6488	164	1	+	+	NOUN
ejpam-6488	164	2	r1u1	r1u1	NOUN
ejpam-6488	164	3	+	+	ADJ
ejpam-6488	164	4	r2u0	r2u0	NOUN
ejpam-6488	164	5	,	,	PUNCT
ejpam-6488	164	6	u2(x0	u2(x0	PROPN
ejpam-6488	164	7	,	,	PUNCT
ejpam-6488	164	8	t	t	PROPN
ejpam-6488	164	9	,	,	PUNCT
ejpam-6488	164	10	0	0	NUM
ejpam-6488	164	11	)	)	PUNCT
ejpam-6488	164	12	=	=	SYM
ejpam-6488	164	13	0	0	NUM
ejpam-6488	164	14	;	;	PUNCT
ejpam-6488	164	15	(	(	PUNCT
ejpam-6488	164	16	3.12	3.12	NUM
ejpam-6488	164	17	)	)	PUNCT
ejpam-6488	164	18	............................................................	............................................................	PUNCT
ejpam-6488	165	1	luk(x	luk(x	PROPN
ejpam-6488	165	2	,	,	PUNCT
ejpam-6488	165	3	t	t	PROPN
ejpam-6488	165	4	,	,	PUNCT
ejpam-6488	165	5	τ	τ	NOUN
ejpam-6488	165	6	)	)	PUNCT
ejpam-6488	165	7	=	=	SYM
ejpam-6488	165	8	−∂uk−1	−∂uk−1	NOUN
ejpam-6488	165	9	∂x	∂x	PROPN
ejpam-6488	165	10	+	+	NOUN
ejpam-6488	165	11	rku0	rku0	PROPN
ejpam-6488	165	12	+	+	X
ejpam-6488	165	13	.	.	PUNCT
ejpam-6488	165	14	.	.	PUNCT
ejpam-6488	166	1	.+r1uk−1	.+r1uk−1	PUNCT
ejpam-6488	166	2	,	,	PUNCT
ejpam-6488	166	3	uk(x0	uk(x0	PROPN
ejpam-6488	166	4	,	,	PUNCT
ejpam-6488	166	5	t	t	PROPN
ejpam-6488	166	6	,	,	PUNCT
ejpam-6488	166	7	0	0	NUM
ejpam-6488	166	8	)	)	PUNCT
ejpam-6488	166	9	=	=	SYM
ejpam-6488	166	10	0	0	NUM
ejpam-6488	166	11	,	,	PUNCT
ejpam-6488	166	12	k	k	PROPN
ejpam-6488	166	13	≥	≥	NUM
ejpam-6488	166	14	1	1	NUM
ejpam-6488	166	15	.	.	PUNCT
ejpam-6488	166	16	(	(	PUNCT
ejpam-6488	166	17	3.1k	3.1k	NUM
ejpam-6488	166	18	)	)	PUNCT
ejpam-6488	166	19	to	to	PART
ejpam-6488	166	20	calculate	calculate	VERB
ejpam-6488	166	21	solutions	solution	NOUN
ejpam-6488	166	22	to	to	PART
ejpam-6488	166	23	iterative	iterative	VERB
ejpam-6488	166	24	problems	problem	NOUN
ejpam-6488	166	25	of	of	ADP
ejpam-6488	166	26	the	the	DET
ejpam-6488	166	27	(	(	PUNCT
ejpam-6488	166	28	3.10	3.10	NUM
ejpam-6488	166	29	)	)	PUNCT
ejpam-6488	166	30	,	,	PUNCT
ejpam-6488	166	31	…	…	PUNCT
ejpam-6488	166	32	,	,	PUNCT
ejpam-6488	166	33	(	(	PUNCT
ejpam-6488	166	34	3.1k	3.1k	X
ejpam-6488	166	35	)	)	PUNCT
ejpam-6488	166	36	we	we	PRON
ejpam-6488	166	37	need	need	VERB
ejpam-6488	166	38	to	to	PART
ejpam-6488	166	39	study	study	VERB
ejpam-6488	166	40	the	the	DET
ejpam-6488	166	41	solvability	solvability	NOUN
ejpam-6488	166	42	of	of	ADP
ejpam-6488	166	43	the	the	DET
ejpam-6488	166	44	general	general	ADJ
ejpam-6488	166	45	iterative	iterative	NOUN
ejpam-6488	166	46	system	system	NOUN
ejpam-6488	166	47	lu(x	lu(x	PROPN
ejpam-6488	166	48	,	,	PUNCT
ejpam-6488	166	49	t	t	PROPN
ejpam-6488	166	50	,	,	PUNCT
ejpam-6488	166	51	τ	τ	PROPN
ejpam-6488	166	52	)	)	PUNCT
ejpam-6488	166	53	≡	≡	PROPN
ejpam-6488	166	54	2∑	2∑	NUM
ejpam-6488	167	1	j=1	j=1	NOUN
ejpam-6488	167	2	λj(x	λj(x	X
ejpam-6488	167	3	)	)	PUNCT
ejpam-6488	167	4	∂u	∂u	PROPN
ejpam-6488	168	1	∂τj	∂τj	PROPN
ejpam-6488	168	2	−	−	PROPN
ejpam-6488	168	3	λ1(x)u−r0u	λ1(x)u−r0u	NOUN
ejpam-6488	168	4	=	=	SYM
ejpam-6488	168	5	h(x	h(x	PROPN
ejpam-6488	168	6	,	,	PUNCT
ejpam-6488	168	7	t	t	PROPN
ejpam-6488	168	8	,	,	PUNCT
ejpam-6488	168	9	τ	τ	PROPN
ejpam-6488	168	10	)	)	PUNCT
ejpam-6488	168	11	u(x0	u(x0	NOUN
ejpam-6488	168	12	,	,	PUNCT
ejpam-6488	168	13	t	t	PROPN
ejpam-6488	168	14	,	,	PUNCT
ejpam-6488	168	15	0	0	NUM
ejpam-6488	168	16	)	)	PUNCT
ejpam-6488	168	17	=	=	SYM
ejpam-6488	168	18	y∗(t	y∗(t	NOUN
ejpam-6488	168	19	)	)	PUNCT
ejpam-6488	168	20	(	(	PUNCT
ejpam-6488	168	21	3.2	3.2	NUM
ejpam-6488	168	22	)	)	PUNCT
ejpam-6488	168	23	where	where	SCONJ
ejpam-6488	168	24	h(x	h(x	PROPN
ejpam-6488	168	25	,	,	PUNCT
ejpam-6488	168	26	t	t	PROPN
ejpam-6488	168	27	,	,	PUNCT
ejpam-6488	168	28	τ	τ	X
ejpam-6488	168	29	)	)	PUNCT
ejpam-6488	168	30	=	=	SYM
ejpam-6488	168	31	h0(x	h0(x	PROPN
ejpam-6488	168	32	,	,	PUNCT
ejpam-6488	168	33	t	t	PROPN
ejpam-6488	168	34	)	)	PUNCT
ejpam-6488	168	35	+	+	NOUN
ejpam-6488	169	1	2∑	2∑	NUM
ejpam-6488	169	2	j=1	j=1	NOUN
ejpam-6488	169	3	hj(x	hj(x	X
ejpam-6488	169	4	,	,	PUNCT
ejpam-6488	169	5	t)e	t)e	NOUN
ejpam-6488	169	6	τj	τj	ADP
ejpam-6488	169	7	∈	∈	PROPN
ejpam-6488	169	8	u	u	NOUN
ejpam-6488	169	9	is	be	AUX
ejpam-6488	169	10	the	the	DET
ejpam-6488	169	11	known	know	VERB
ejpam-6488	169	12	vector	vector	NOUN
ejpam-6488	169	13	function	function	NOUN
ejpam-6488	169	14	of	of	ADP
ejpam-6488	169	15	space	space	NOUN
ejpam-6488	169	16	u	u	NOUN
ejpam-6488	169	17	,	,	PUNCT
ejpam-6488	169	18	y∗	y∗	ADV
ejpam-6488	169	19	is	be	AUX
ejpam-6488	169	20	the	the	DET
ejpam-6488	169	21	known	know	VERB
ejpam-6488	169	22	constant	constant	ADJ
ejpam-6488	169	23	vector	vector	NOUN
ejpam-6488	169	24	of	of	ADP
ejpam-6488	169	25	the	the	DET
ejpam-6488	169	26	complex	complex	ADJ
ejpam-6488	169	27	space	space	NOUN
ejpam-6488	169	28	c	c	NOUN
ejpam-6488	169	29	,	,	PUNCT
ejpam-6488	169	30	and	and	CCONJ
ejpam-6488	169	31	the	the	DET
ejpam-6488	169	32	operator	operator	NOUN
ejpam-6488	169	33	r0	r0	NOUN
ejpam-6488	169	34	has	have	VERB
ejpam-6488	169	35	the	the	DET
ejpam-6488	169	36	form	form	NOUN
ejpam-6488	169	37	(	(	PUNCT
ejpam-6488	169	38	see	see	VERB
ejpam-6488	169	39	(	(	PUNCT
ejpam-6488	169	40	2.70	2.70	NUM
ejpam-6488	169	41	)	)	PUNCT
ejpam-6488	169	42	):	):	PUNCT
ejpam-6488	169	43	r0u(x	r0u(x	PROPN
ejpam-6488	169	44	,	,	PUNCT
ejpam-6488	169	45	t	t	PROPN
ejpam-6488	169	46	,	,	PUNCT
ejpam-6488	169	47	τ	τ	NOUN
ejpam-6488	169	48	)	)	PUNCT
ejpam-6488	169	49	≡	≡	PROPN
ejpam-6488	169	50	r0	r0	PROPN
ejpam-6488	169	51	u0(x	u0(x	PROPN
ejpam-6488	169	52	,	,	PUNCT
ejpam-6488	169	53	t	t	PROPN
ejpam-6488	169	54	)	)	PUNCT
ejpam-6488	170	1	+	+	NOUN
ejpam-6488	170	2	2∑	2∑	NOUN
ejpam-6488	170	3	j=1	j=1	NOUN
ejpam-6488	170	4	uj(x	uj(x	NOUN
ejpam-6488	170	5	,	,	PUNCT
ejpam-6488	170	6	t)e	t)e	NOUN
ejpam-6488	170	7	τj	τj	ADP
ejpam-6488	170	8			NOUN
ejpam-6488	170	9	∆	∆	X
ejpam-6488	170	10	=	=	PUNCT
ejpam-6488	171	1	x∫	x∫	PROPN
ejpam-6488	171	2	x0	x0	PROPN
ejpam-6488	171	3	k(x	k(x	PROPN
ejpam-6488	171	4	,	,	PUNCT
ejpam-6488	171	5	t	t	PROPN
ejpam-6488	171	6	,	,	PUNCT
ejpam-6488	171	7	s)u0(s	s)u0(s	PROPN
ejpam-6488	171	8	,	,	PUNCT
ejpam-6488	171	9	t)ds	t)ds	PROPN
ejpam-6488	171	10	.	.	PUNCT
ejpam-6488	172	1	we	we	PRON
ejpam-6488	172	2	introduce	introduce	VERB
ejpam-6488	172	3	scalar	scalar	ADJ
ejpam-6488	172	4	(	(	PUNCT
ejpam-6488	172	5	for	for	ADP
ejpam-6488	172	6	each	each	DET
ejpam-6488	172	7	x	x	SYM
ejpam-6488	172	8	∈	∈	PROPN
ejpam-6488	173	1	[	[	X
ejpam-6488	173	2	x0	x0	PROPN
ejpam-6488	173	3	,	,	PUNCT
ejpam-6488	173	4	x	x	X
ejpam-6488	173	5	]	]	X
ejpam-6488	173	6	,	,	PUNCT
ejpam-6488	173	7	t	t	PROPN
ejpam-6488	173	8	∈	∈	PROPN
ejpam-6488	174	1	[	[	X
ejpam-6488	174	2	0	0	NUM
ejpam-6488	174	3	,	,	PUNCT
ejpam-6488	174	4	t	t	NOUN
ejpam-6488	174	5	]	]	PUNCT
ejpam-6488	174	6	)	)	PUNCT
ejpam-6488	174	7	product	product	NOUN
ejpam-6488	174	8	in	in	ADP
ejpam-6488	174	9	space	space	NOUN
ejpam-6488	174	10	u	u	NOUN
ejpam-6488	174	11	:	:	PUNCT
ejpam-6488	174	12	⟨u	⟨u	NOUN
ejpam-6488	174	13	,	,	PUNCT
ejpam-6488	174	14	w⟩	w⟩	NOUN
ejpam-6488	174	15	≡	≡	PROPN
ejpam-6488	174	16	〈	〈	PROPN
ejpam-6488	174	17	u0(x	u0(x	PROPN
ejpam-6488	174	18	,	,	PUNCT
ejpam-6488	174	19	t	t	PROPN
ejpam-6488	174	20	)	)	PUNCT
ejpam-6488	174	21	+	+	NOUN
ejpam-6488	175	1	2∑	2∑	NOUN
ejpam-6488	175	2	j=1	j=1	NOUN
ejpam-6488	175	3	uj(x	uj(x	NOUN
ejpam-6488	175	4	,	,	PUNCT
ejpam-6488	175	5	t)e	t)e	NOUN
ejpam-6488	175	6	τj	τj	ADP
ejpam-6488	175	7	,	,	PUNCT
ejpam-6488	175	8	w0(x	w0(x	PROPN
ejpam-6488	175	9	,	,	PUNCT
ejpam-6488	175	10	t	t	PROPN
ejpam-6488	175	11	)	)	PUNCT
ejpam-6488	175	12	+	+	NUM
ejpam-6488	175	13	2∑	2∑	NUM
ejpam-6488	175	14	j=1	j=1	NOUN
ejpam-6488	175	15	wj(x	wj(x	X
ejpam-6488	175	16	,	,	PUNCT
ejpam-6488	175	17	t)e	t)e	NOUN
ejpam-6488	175	18	τj	τj	ADP
ejpam-6488	175	19	〉	〉	NOUN
ejpam-6488	175	20	∆	∆	X
ejpam-6488	175	21	=	=	SYM
ejpam-6488	175	22	2∑	2∑	NUM
ejpam-6488	175	23	j=0	j=0	PROPN
ejpam-6488	175	24	(	(	PUNCT
ejpam-6488	175	25	uj(x	uj(x	X
ejpam-6488	175	26	,	,	PUNCT
ejpam-6488	175	27	t	t	PROPN
ejpam-6488	175	28	)	)	PUNCT
ejpam-6488	175	29	,	,	PUNCT
ejpam-6488	175	30	wj(x	wj(x	PROPN
ejpam-6488	175	31	,	,	PUNCT
ejpam-6488	175	32	t	t	PROPN
ejpam-6488	175	33	)	)	PUNCT
ejpam-6488	175	34	)	)	PUNCT
ejpam-6488	175	35	where	where	SCONJ
ejpam-6488	175	36	we	we	PRON
ejpam-6488	175	37	denote	denote	VERB
ejpam-6488	175	38	by	by	ADP
ejpam-6488	175	39	(	(	PUNCT
ejpam-6488	175	40	∗	∗	NOUN
ejpam-6488	175	41	,	,	PUNCT
ejpam-6488	175	42	∗	∗	NOUN
ejpam-6488	175	43	)	)	PUNCT
ejpam-6488	175	44	the	the	DET
ejpam-6488	175	45	usual	usual	ADJ
ejpam-6488	175	46	scalar	scalar	ADJ
ejpam-6488	175	47	product	product	NOUN
ejpam-6488	175	48	in	in	ADP
ejpam-6488	175	49	the	the	DET
ejpam-6488	175	50	complex	complex	ADJ
ejpam-6488	175	51	space	space	NOUN
ejpam-6488	175	52	c.	c.	NOUN
ejpam-6488	175	53	let	let	VERB
ejpam-6488	175	54	us	we	PRON
ejpam-6488	175	55	prove	prove	VERB
ejpam-6488	175	56	the	the	DET
ejpam-6488	175	57	following	follow	VERB
ejpam-6488	175	58	statement	statement	NOUN
ejpam-6488	175	59	.	.	PUNCT
ejpam-6488	176	1	theorem	theorem	NOUN
ejpam-6488	176	2	2	2	NUM
ejpam-6488	176	3	.	.	PUNCT
ejpam-6488	177	1	let	let	VERB
ejpam-6488	177	2	conditions	condition	NOUN
ejpam-6488	177	3	(	(	PUNCT
ejpam-6488	177	4	i)-(ii	i)-(ii	VERB
ejpam-6488	177	5	)	)	PUNCT
ejpam-6488	177	6	be	be	AUX
ejpam-6488	177	7	fulfilled	fulfil	VERB
ejpam-6488	177	8	and	and	CCONJ
ejpam-6488	178	1	the	the	DET
ejpam-6488	178	2	right	right	ADJ
ejpam-6488	178	3	-	-	PUNCT
ejpam-6488	178	4	hand	hand	NOUN
ejpam-6488	178	5	side	side	NOUN
ejpam-6488	178	6	h(x	h(x	PROPN
ejpam-6488	178	7	,	,	PUNCT
ejpam-6488	178	8	t	t	PROPN
ejpam-6488	178	9	,	,	PUNCT
ejpam-6488	178	10	τ	τ	X
ejpam-6488	178	11	)	)	PUNCT
ejpam-6488	178	12	=	=	SYM
ejpam-6488	178	13	h0(x	h0(x	PROPN
ejpam-6488	178	14	,	,	PUNCT
ejpam-6488	178	15	t)+	t)+	NOUN
ejpam-6488	178	16	+	+	CCONJ
ejpam-6488	178	17	2∑	2∑	NUM
ejpam-6488	178	18	j=1	j=1	NOUN
ejpam-6488	178	19	hj(x	hj(x	X
ejpam-6488	178	20	,	,	PUNCT
ejpam-6488	178	21	t)e	t)e	NOUN
ejpam-6488	178	22	τj	τj	ADP
ejpam-6488	178	23	of	of	ADP
ejpam-6488	178	24	equation	equation	NOUN
ejpam-6488	178	25	(	(	PUNCT
ejpam-6488	178	26	3.2	3.2	NUM
ejpam-6488	178	27	)	)	PUNCT
ejpam-6488	178	28	belongs	belong	VERB
ejpam-6488	178	29	to	to	ADP
ejpam-6488	178	30	the	the	DET
ejpam-6488	178	31	space	space	NOUN
ejpam-6488	178	32	u	u	NOUN
ejpam-6488	178	33	.	.	PUNCT
ejpam-6488	179	1	then	then	ADV
ejpam-6488	179	2	the	the	DET
ejpam-6488	179	3	equation(3.2	equation(3.2	NOUN
ejpam-6488	179	4	)	)	PUNCT
ejpam-6488	179	5	is	be	AUX
ejpam-6488	179	6	solvable	solvable	ADJ
ejpam-6488	179	7	in	in	ADP
ejpam-6488	179	8	u	u	NOUN
ejpam-6488	179	9	,	,	PUNCT
ejpam-6488	179	10	if	if	SCONJ
ejpam-6488	179	11	and	and	CCONJ
ejpam-6488	179	12	only	only	ADV
ejpam-6488	179	13	if	if	SCONJ
ejpam-6488	179	14	h1(x	h1(x	PROPN
ejpam-6488	179	15	,	,	PUNCT
ejpam-6488	179	16	t	t	PROPN
ejpam-6488	179	17	,	,	PUNCT
ejpam-6488	179	18	τ	τ	NOUN
ejpam-6488	179	19	)	)	PUNCT
ejpam-6488	179	20	≡	≡	PROPN
ejpam-6488	179	21	0	0	NUM
ejpam-6488	179	22	∀(x	∀(x	NUM
ejpam-6488	179	23	,	,	PUNCT
ejpam-6488	179	24	t	t	PROPN
ejpam-6488	179	25	)	)	PUNCT
ejpam-6488	179	26	∈	∈	PROPN
ejpam-6488	180	1	[	[	X
ejpam-6488	180	2	x0	x0	PROPN
ejpam-6488	180	3	,	,	PUNCT
ejpam-6488	180	4	x]×	x]×	NOUN
ejpam-6488	181	1	[	[	X
ejpam-6488	181	2	0	0	NUM
ejpam-6488	181	3	,	,	PUNCT
ejpam-6488	181	4	t	t	X
ejpam-6488	181	5	]	]	PUNCT
ejpam-6488	181	6	.	.	PUNCT
ejpam-6488	182	1	(	(	PUNCT
ejpam-6488	182	2	3.3	3.3	NUM
ejpam-6488	182	3	)	)	PUNCT
ejpam-6488	182	4	m.	m.	NOUN
ejpam-6488	182	5	begaidarov	begaidarov	NOUN
ejpam-6488	182	6	,	,	PUNCT
ejpam-6488	182	7	d.	d.	PROPN
ejpam-6488	182	8	bibulova	bibulova	PROPN
ejpam-6488	182	9	,	,	PUNCT
ejpam-6488	182	10	b.	b.	PROPN
ejpam-6488	182	11	kalimbetov	kalimbetov	PROPN
ejpam-6488	182	12	/	/	SYM
ejpam-6488	182	13	eur	eur	PROPN
ejpam-6488	182	14	.	.	PUNCT
ejpam-6488	183	1	j.	j.	PROPN
ejpam-6488	183	2	pure	pure	PROPN
ejpam-6488	183	3	appl	appl	PROPN
ejpam-6488	183	4	.	.	PROPN
ejpam-6488	183	5	math	math	PROPN
ejpam-6488	183	6	,	,	PUNCT
ejpam-6488	183	7	18	18	NUM
ejpam-6488	183	8	(	(	PUNCT
ejpam-6488	183	9	4	4	NUM
ejpam-6488	183	10	)	)	PUNCT
ejpam-6488	183	11	(	(	PUNCT
ejpam-6488	183	12	2025	2025	NUM
ejpam-6488	183	13	)	)	PUNCT
ejpam-6488	183	14	,	,	PUNCT
ejpam-6488	183	15	6488	6488	NUM
ejpam-6488	183	16	9	9	NUM
ejpam-6488	183	17	of	of	ADP
ejpam-6488	183	18	20	20	NUM
ejpam-6488	183	19	proof	proof	NOUN
ejpam-6488	183	20	.	.	PUNCT
ejpam-6488	184	1	we	we	PRON
ejpam-6488	184	2	will	will	AUX
ejpam-6488	184	3	determine	determine	VERB
ejpam-6488	184	4	the	the	DET
ejpam-6488	184	5	solution	solution	NOUN
ejpam-6488	184	6	of	of	ADP
ejpam-6488	184	7	equation	equation	NOUN
ejpam-6488	184	8	(	(	PUNCT
ejpam-6488	184	9	3.2	3.2	NUM
ejpam-6488	184	10	)	)	PUNCT
ejpam-6488	184	11	as	as	ADP
ejpam-6488	184	12	an	an	DET
ejpam-6488	184	13	element	element	NOUN
ejpam-6488	184	14	(	(	PUNCT
ejpam-6488	184	15	2.3	2.3	NUM
ejpam-6488	184	16	)	)	PUNCT
ejpam-6488	184	17	of	of	ADP
ejpam-6488	184	18	the	the	DET
ejpam-6488	184	19	space	space	NOUN
ejpam-6488	184	20	u	u	NOUN
ejpam-6488	184	21	.	.	PUNCT
ejpam-6488	185	1	substituting	substitute	VERB
ejpam-6488	185	2	(	(	PUNCT
ejpam-6488	185	3	2.3	2.3	NUM
ejpam-6488	185	4	)	)	PUNCT
ejpam-6488	185	5	into	into	ADP
ejpam-6488	185	6	equation	equation	NOUN
ejpam-6488	185	7	(	(	PUNCT
ejpam-6488	185	8	3.2	3.2	NUM
ejpam-6488	185	9	)	)	PUNCT
ejpam-6488	185	10	,	,	PUNCT
ejpam-6488	185	11	we	we	PRON
ejpam-6488	185	12	will	will	AUX
ejpam-6488	185	13	have	have	VERB
ejpam-6488	185	14	2∑	2∑	NUM
ejpam-6488	185	15	j=1	j=1	NOUN
ejpam-6488	186	1	[	[	X
ejpam-6488	186	2	λj(x)−	λj(x)−	PROPN
ejpam-6488	186	3	λ1(x)]uj(x	λ1(x)]uj(x	PROPN
ejpam-6488	186	4	,	,	PUNCT
ejpam-6488	186	5	t)e	t)e	NOUN
ejpam-6488	186	6	τj−	τj−	PUNCT
ejpam-6488	186	7	−λ1(x)u0(x	−λ1(x)u0(x	NOUN
ejpam-6488	186	8	,	,	PUNCT
ejpam-6488	186	9	t)−	t)−	PROPN
ejpam-6488	186	10	x∫	x∫	NUM
ejpam-6488	186	11	x0	x0	PROPN
ejpam-6488	186	12	k(x	k(x	PROPN
ejpam-6488	186	13	,	,	PUNCT
ejpam-6488	186	14	t	t	PROPN
ejpam-6488	186	15	,	,	PUNCT
ejpam-6488	186	16	s)u0(s	s)u0(s	PROPN
ejpam-6488	186	17	,	,	PUNCT
ejpam-6488	186	18	t)ds	t)ds	PROPN
ejpam-6488	186	19	=	=	SYM
ejpam-6488	186	20	h0(x	h0(x	PROPN
ejpam-6488	186	21	,	,	PUNCT
ejpam-6488	186	22	t	t	PROPN
ejpam-6488	186	23	)	)	PUNCT
ejpam-6488	186	24	+	+	NOUN
ejpam-6488	186	25	2∑	2∑	NUM
ejpam-6488	186	26	j=1	j=1	NOUN
ejpam-6488	186	27	hj(x	hj(x	X
ejpam-6488	186	28	,	,	PUNCT
ejpam-6488	186	29	t)e	t)e	NOUN
ejpam-6488	186	30	τj	τj	ADP
ejpam-6488	186	31	.	.	PUNCT
ejpam-6488	187	1	equating	equate	VERB
ejpam-6488	187	2	here	here	ADV
ejpam-6488	187	3	the	the	DET
ejpam-6488	187	4	free	free	ADJ
ejpam-6488	187	5	terms	term	NOUN
ejpam-6488	187	6	and	and	CCONJ
ejpam-6488	187	7	coefficients	coefficient	NOUN
ejpam-6488	187	8	separately	separately	ADV
ejpam-6488	187	9	for	for	ADP
ejpam-6488	187	10	identical	identical	ADJ
ejpam-6488	187	11	exponents	exponent	NOUN
ejpam-6488	187	12	,	,	PUNCT
ejpam-6488	187	13	we	we	PRON
ejpam-6488	187	14	obtain	obtain	VERB
ejpam-6488	187	15	the	the	DET
ejpam-6488	187	16	following	follow	VERB
ejpam-6488	187	17	equations	equation	NOUN
ejpam-6488	187	18	:	:	PUNCT
ejpam-6488	187	19	−λ1(x)u0(x	−λ1(x)u0(x	NOUN
ejpam-6488	187	20	,	,	PUNCT
ejpam-6488	187	21	t)−	t)−	PROPN
ejpam-6488	188	1	x∫	x∫	NUM
ejpam-6488	188	2	x0	x0	PROPN
ejpam-6488	188	3	k(x	k(x	PROPN
ejpam-6488	188	4	,	,	PUNCT
ejpam-6488	188	5	t	t	PROPN
ejpam-6488	188	6	,	,	PUNCT
ejpam-6488	188	7	s)u0(s	s)u0(s	PROPN
ejpam-6488	188	8	,	,	PUNCT
ejpam-6488	188	9	t)ds	t)ds	PROPN
ejpam-6488	188	10	=	=	SYM
ejpam-6488	188	11	h0(x	h0(x	PROPN
ejpam-6488	188	12	,	,	PUNCT
ejpam-6488	188	13	t	t	PROPN
ejpam-6488	188	14	)	)	PUNCT
ejpam-6488	188	15	,	,	PUNCT
ejpam-6488	188	16	(	(	PUNCT
ejpam-6488	188	17	3.40	3.40	NUM
ejpam-6488	188	18	)	)	PUNCT
ejpam-6488	189	1	[	[	X
ejpam-6488	189	2	λj(x)−	λj(x)−	PROPN
ejpam-6488	189	3	λ1(x)]uj(x	λ1(x)]uj(x	PROPN
ejpam-6488	189	4	,	,	PUNCT
ejpam-6488	189	5	t	t	PROPN
ejpam-6488	189	6	)	)	PUNCT
ejpam-6488	189	7	=	=	SYM
ejpam-6488	189	8	hj(x	hj(x	X
ejpam-6488	189	9	,	,	PUNCT
ejpam-6488	189	10	t	t	PROPN
ejpam-6488	189	11	)	)	PUNCT
ejpam-6488	189	12	,	,	PUNCT
ejpam-6488	189	13	j	j	PROPN
ejpam-6488	189	14	=	=	SYM
ejpam-6488	189	15	1	1	NUM
ejpam-6488	189	16	,	,	PUNCT
ejpam-6488	189	17	2	2	NUM
ejpam-6488	189	18	.	.	PUNCT
ejpam-6488	189	19	(	(	PUNCT
ejpam-6488	189	20	3.4j	3.4j	X
ejpam-6488	189	21	)	)	PUNCT
ejpam-6488	189	22	the	the	DET
ejpam-6488	189	23	equation	equation	NOUN
ejpam-6488	189	24	(	(	PUNCT
ejpam-6488	189	25	110	110	NUM
ejpam-6488	189	26	)	)	PUNCT
ejpam-6488	189	27	can	can	AUX
ejpam-6488	189	28	be	be	AUX
ejpam-6488	189	29	written	write	VERB
ejpam-6488	189	30	as	as	ADP
ejpam-6488	189	31	u0(x	u0(x	PROPN
ejpam-6488	189	32	,	,	PUNCT
ejpam-6488	189	33	t	t	PROPN
ejpam-6488	189	34	)	)	PUNCT
ejpam-6488	189	35	=	=	PUNCT
ejpam-6488	190	1	−	−	PROPN
ejpam-6488	191	1	x∫	x∫	ADJ
ejpam-6488	191	2	x0	x0	PROPN
ejpam-6488	192	1	λ−1	λ−1	PROPN
ejpam-6488	192	2	1	1	NUM
ejpam-6488	192	3	(	(	PUNCT
ejpam-6488	192	4	x)k(x	x)k(x	PROPN
ejpam-6488	192	5	,	,	PUNCT
ejpam-6488	192	6	t	t	PROPN
ejpam-6488	192	7	,	,	PUNCT
ejpam-6488	192	8	s)u0(s	s)u0(s	PROPN
ejpam-6488	192	9	,	,	PUNCT
ejpam-6488	192	10	t)ds−	t)ds−	PROPN
ejpam-6488	192	11	λ−1	λ−1	PROPN
ejpam-6488	192	12	1	1	NUM
ejpam-6488	192	13	(	(	PUNCT
ejpam-6488	192	14	x)(x)h0(x	x)(x)h0(x	PROPN
ejpam-6488	192	15	,	,	PUNCT
ejpam-6488	192	16	t	t	PROPN
ejpam-6488	192	17	)	)	PUNCT
ejpam-6488	192	18	.	.	PUNCT
ejpam-6488	193	1	(	(	PUNCT
ejpam-6488	193	2	3.5	3.5	NUM
ejpam-6488	193	3	)	)	PUNCT
ejpam-6488	193	4	due	due	ADP
ejpam-6488	193	5	to	to	ADP
ejpam-6488	193	6	the	the	DET
ejpam-6488	193	7	smoothness	smoothness	NOUN
ejpam-6488	193	8	of	of	ADP
ejpam-6488	193	9	the	the	DET
ejpam-6488	193	10	kernel	kernel	PROPN
ejpam-6488	193	11	−λ−1	−λ−1	NUM
ejpam-6488	193	12	1	1	NUM
ejpam-6488	193	13	(	(	PUNCT
ejpam-6488	193	14	x)k(x	x)k(x	PROPN
ejpam-6488	193	15	,	,	PUNCT
ejpam-6488	193	16	t	t	PROPN
ejpam-6488	193	17	,	,	PUNCT
ejpam-6488	193	18	s	s	PART
ejpam-6488	193	19	)	)	PUNCT
ejpam-6488	193	20	and	and	CCONJ
ejpam-6488	193	21	heterogeneity	heterogeneity	NOUN
ejpam-6488	193	22	−λ−1	−λ−1	NUM
ejpam-6488	193	23	1	1	NUM
ejpam-6488	193	24	(	(	PUNCT
ejpam-6488	193	25	x)h0(x	x)h0(x	PROPN
ejpam-6488	193	26	,	,	PUNCT
ejpam-6488	193	27	t	t	PROPN
ejpam-6488	193	28	)	)	PUNCT
ejpam-6488	193	29	,	,	PUNCT
ejpam-6488	193	30	this	this	DET
ejpam-6488	193	31	volterra	volterra	NOUN
ejpam-6488	193	32	integral	integral	ADJ
ejpam-6488	193	33	equation	equation	NOUN
ejpam-6488	193	34	has	have	VERB
ejpam-6488	193	35	a	a	DET
ejpam-6488	193	36	unique	unique	ADJ
ejpam-6488	193	37	solution	solution	NOUN
ejpam-6488	193	38	u0(x	u0(x	NOUN
ejpam-6488	193	39	,	,	PUNCT
ejpam-6488	193	40	t	t	PROPN
ejpam-6488	193	41	)	)	PUNCT
ejpam-6488	193	42	∈	∈	PROPN
ejpam-6488	193	43	c∞[x0	c∞[x0	ADV
ejpam-6488	193	44	,	,	PUNCT
ejpam-6488	193	45	x]×	x]×	NOUN
ejpam-6488	194	1	[	[	X
ejpam-6488	194	2	0	0	NUM
ejpam-6488	194	3	,	,	PUNCT
ejpam-6488	194	4	t	t	X
ejpam-6488	194	5	]	]	PUNCT
ejpam-6488	194	6	.	.	PUNCT
ejpam-6488	195	1	the	the	DET
ejpam-6488	195	2	equations	equation	NOUN
ejpam-6488	195	3	(	(	PUNCT
ejpam-6488	195	4	3.42	3.42	NUM
ejpam-6488	195	5	)	)	PUNCT
ejpam-6488	195	6	have	have	VERB
ejpam-6488	195	7	unique	unique	ADJ
ejpam-6488	195	8	solutions	solution	NOUN
ejpam-6488	195	9	u2(x	u2(x	PROPN
ejpam-6488	195	10	,	,	PUNCT
ejpam-6488	195	11	t	t	PROPN
ejpam-6488	195	12	)	)	PUNCT
ejpam-6488	195	13	=	=	PUNCT
ejpam-6488	196	1	[	[	X
ejpam-6488	196	2	λ2(x)−	λ2(x)−	X
ejpam-6488	196	3	λ1(x	λ1(x	NUM
ejpam-6488	196	4	)	)	PUNCT
ejpam-6488	196	5	]	]	PUNCT
ejpam-6488	196	6	−1h2(x	−1h2(x	NOUN
ejpam-6488	196	7	,	,	PUNCT
ejpam-6488	196	8	t	t	PROPN
ejpam-6488	196	9	)	)	PUNCT
ejpam-6488	196	10	∈	∈	PROPN
ejpam-6488	196	11	c∞[x0	c∞[x0	ADV
ejpam-6488	196	12	,	,	PUNCT
ejpam-6488	196	13	x]×	x]×	NOUN
ejpam-6488	197	1	[	[	X
ejpam-6488	197	2	0	0	NUM
ejpam-6488	197	3	,	,	PUNCT
ejpam-6488	197	4	t	t	X
ejpam-6488	197	5	]	]	PUNCT
ejpam-6488	197	6	.	.	PUNCT
ejpam-6488	198	1	equation	equation	NOUN
ejpam-6488	198	2	(	(	PUNCT
ejpam-6488	198	3	3.41	3.41	NUM
ejpam-6488	198	4	)	)	PUNCT
ejpam-6488	198	5	are	be	AUX
ejpam-6488	198	6	solvable	solvable	ADJ
ejpam-6488	198	7	in	in	ADP
ejpam-6488	198	8	space	space	NOUN
ejpam-6488	198	9	c∞[x0	c∞[x0	ADV
ejpam-6488	198	10	,	,	PUNCT
ejpam-6488	198	11	x]×	x]×	NOUN
ejpam-6488	199	1	[	[	X
ejpam-6488	199	2	0	0	NUM
ejpam-6488	199	3	,	,	PUNCT
ejpam-6488	199	4	t	t	X
ejpam-6488	199	5	]	]	PUNCT
ejpam-6488	199	6	if	if	SCONJ
ejpam-6488	199	7	and	and	CCONJ
ejpam-6488	199	8	only	only	ADV
ejpam-6488	199	9	if	if	SCONJ
ejpam-6488	199	10	there	there	PRON
ejpam-6488	199	11	are	be	VERB
ejpam-6488	199	12	identities	identity	NOUN
ejpam-6488	199	13	h1(x	h1(x	PROPN
ejpam-6488	199	14	,	,	PUNCT
ejpam-6488	199	15	t	t	PROPN
ejpam-6488	199	16	,	,	PUNCT
ejpam-6488	199	17	τ	τ	NOUN
ejpam-6488	199	18	)	)	PUNCT
ejpam-6488	199	19	≡	≡	PROPN
ejpam-6488	199	20	0	0	NUM
ejpam-6488	200	1	∀(x	∀(x	NUM
ejpam-6488	200	2	,	,	PUNCT
ejpam-6488	200	3	t	t	PROPN
ejpam-6488	200	4	)	)	PUNCT
ejpam-6488	200	5	∈	∈	PROPN
ejpam-6488	201	1	[	[	X
ejpam-6488	201	2	x0	x0	PROPN
ejpam-6488	201	3	,	,	PUNCT
ejpam-6488	201	4	x	x	X
ejpam-6488	201	5	]	]	X
ejpam-6488	201	6	×	×	NOUN
ejpam-6488	201	7	[	[	X
ejpam-6488	201	8	0	0	NUM
ejpam-6488	201	9	,	,	PUNCT
ejpam-6488	201	10	t	t	X
ejpam-6488	201	11	]	]	PUNCT
ejpam-6488	201	12	.	.	PUNCT
ejpam-6488	202	1	thus	thus	ADV
ejpam-6488	202	2	,	,	PUNCT
ejpam-6488	202	3	condition	condition	NOUN
ejpam-6488	202	4	(	(	PUNCT
ejpam-6488	202	5	3.3	3.3	NUM
ejpam-6488	202	6	)	)	PUNCT
ejpam-6488	202	7	is	be	AUX
ejpam-6488	202	8	necessary	necessary	ADJ
ejpam-6488	202	9	and	and	CCONJ
ejpam-6488	202	10	sufficient	sufficient	ADJ
ejpam-6488	202	11	for	for	ADP
ejpam-6488	202	12	the	the	DET
ejpam-6488	202	13	solvability	solvability	NOUN
ejpam-6488	202	14	of	of	ADP
ejpam-6488	202	15	equation	equation	NOUN
ejpam-6488	202	16	(	(	PUNCT
ejpam-6488	202	17	3.2	3.2	NUM
ejpam-6488	202	18	)	)	PUNCT
ejpam-6488	202	19	in	in	ADP
ejpam-6488	202	20	the	the	DET
ejpam-6488	202	21	space	space	NOUN
ejpam-6488	202	22	u	u	NOUN
ejpam-6488	202	23	.	.	PUNCT
ejpam-6488	203	1	the	the	DET
ejpam-6488	203	2	theorem	theorem	ADJ
ejpam-6488	203	3	2	2	NUM
ejpam-6488	203	4	is	be	AUX
ejpam-6488	203	5	proved	prove	VERB
ejpam-6488	203	6	.	.	PUNCT
ejpam-6488	204	1	remark	remark	PROPN
ejpam-6488	204	2	1	1	NUM
ejpam-6488	204	3	.	.	PUNCT
ejpam-6488	205	1	if	if	SCONJ
ejpam-6488	205	2	identity	identity	NOUN
ejpam-6488	205	3	(	(	PUNCT
ejpam-6488	205	4	3.3	3.3	NUM
ejpam-6488	205	5	)	)	PUNCT
ejpam-6488	205	6	holds	hold	VERB
ejpam-6488	205	7	,	,	PUNCT
ejpam-6488	205	8	then	then	ADV
ejpam-6488	205	9	under	under	ADP
ejpam-6488	205	10	conditions	condition	NOUN
ejpam-6488	205	11	(	(	PUNCT
ejpam-6488	205	12	i)-(ii	i)-(ii	NUM
ejpam-6488	205	13	)	)	PUNCT
ejpam-6488	205	14	,	,	PUNCT
ejpam-6488	205	15	equation	equation	NOUN
ejpam-6488	205	16	(	(	PUNCT
ejpam-6488	205	17	3.2	3.2	NUM
ejpam-6488	205	18	)	)	PUNCT
ejpam-6488	205	19	has	have	VERB
ejpam-6488	205	20	the	the	DET
ejpam-6488	205	21	following	following	ADJ
ejpam-6488	205	22	solution	solution	NOUN
ejpam-6488	205	23	in	in	ADP
ejpam-6488	205	24	the	the	DET
ejpam-6488	205	25	space	space	NOUN
ejpam-6488	205	26	u	u	NOUN
ejpam-6488	205	27	:	:	PUNCT
ejpam-6488	205	28	u(x	u(x	PROPN
ejpam-6488	205	29	,	,	PUNCT
ejpam-6488	205	30	t	t	PROPN
ejpam-6488	205	31	,	,	PUNCT
ejpam-6488	205	32	τ	τ	X
ejpam-6488	205	33	)	)	PUNCT
ejpam-6488	205	34	=	=	SYM
ejpam-6488	205	35	u0(x	u0(x	PROPN
ejpam-6488	205	36	,	,	PUNCT
ejpam-6488	205	37	t	t	PROPN
ejpam-6488	205	38	)	)	PUNCT
ejpam-6488	205	39	+	+	CCONJ
ejpam-6488	206	1	α1(x	α1(x	NOUN
ejpam-6488	206	2	,	,	PUNCT
ejpam-6488	206	3	t)e	t)e	NOUN
ejpam-6488	206	4	τ1	τ1	ADP
ejpam-6488	206	5	+	+	CCONJ
ejpam-6488	207	1	[	[	X
ejpam-6488	207	2	λ2(x)−	λ2(x)−	X
ejpam-6488	207	3	λ1(x	λ1(x	NUM
ejpam-6488	207	4	)	)	PUNCT
ejpam-6488	207	5	]	]	PUNCT
ejpam-6488	207	6	−1h2(x	−1h2(x	NOUN
ejpam-6488	207	7	,	,	PUNCT
ejpam-6488	207	8	t)e	t)e	NOUN
ejpam-6488	207	9	τ2	τ2	NOUN
ejpam-6488	207	10	(	(	PUNCT
ejpam-6488	207	11	3.6	3.6	NUM
ejpam-6488	207	12	)	)	PUNCT
ejpam-6488	207	13	where	where	SCONJ
ejpam-6488	207	14	α1(x	α1(x	PROPN
ejpam-6488	207	15	,	,	PUNCT
ejpam-6488	207	16	t	t	PROPN
ejpam-6488	207	17	)	)	PUNCT
ejpam-6488	207	18	∈	∈	PROPN
ejpam-6488	207	19	c∞[x0	c∞[x0	ADV
ejpam-6488	207	20	,	,	PUNCT
ejpam-6488	207	21	x]×	x]×	NOUN
ejpam-6488	208	1	[	[	X
ejpam-6488	208	2	0	0	NUM
ejpam-6488	208	3	,	,	PUNCT
ejpam-6488	208	4	t	t	PROPN
ejpam-6488	208	5	]	]	PUNCT
ejpam-6488	208	6	are	be	AUX
ejpam-6488	208	7	arbitrary	arbitrary	ADJ
ejpam-6488	208	8	function	function	NOUN
ejpam-6488	208	9	,	,	PUNCT
ejpam-6488	208	10	u0(x	u0(x	PROPN
ejpam-6488	208	11	,	,	PUNCT
ejpam-6488	208	12	t	t	PROPN
ejpam-6488	208	13	)	)	PUNCT
ejpam-6488	208	14	is	be	AUX
ejpam-6488	208	15	the	the	DET
ejpam-6488	208	16	solution	solution	NOUN
ejpam-6488	208	17	of	of	ADP
ejpam-6488	208	18	an	an	DET
ejpam-6488	208	19	integral	integral	ADJ
ejpam-6488	208	20	equation	equation	NOUN
ejpam-6488	208	21	(	(	PUNCT
ejpam-6488	208	22	3.5	3.5	NUM
ejpam-6488	208	23	)	)	PUNCT
ejpam-6488	208	24	.	.	PUNCT
ejpam-6488	209	1	m.	m.	NOUN
ejpam-6488	209	2	begaidarov	begaidarov	PROPN
ejpam-6488	209	3	,	,	PUNCT
ejpam-6488	209	4	d.	d.	PROPN
ejpam-6488	209	5	bibulova	bibulova	PROPN
ejpam-6488	209	6	,	,	PUNCT
ejpam-6488	209	7	b.	b.	PROPN
ejpam-6488	209	8	kalimbetov	kalimbetov	PROPN
ejpam-6488	209	9	/	/	SYM
ejpam-6488	209	10	eur	eur	PROPN
ejpam-6488	209	11	.	.	PUNCT
ejpam-6488	210	1	j.	j.	PROPN
ejpam-6488	210	2	pure	pure	PROPN
ejpam-6488	210	3	appl	appl	PROPN
ejpam-6488	210	4	.	.	PROPN
ejpam-6488	210	5	math	math	PROPN
ejpam-6488	210	6	,	,	PUNCT
ejpam-6488	210	7	18	18	NUM
ejpam-6488	210	8	(	(	PUNCT
ejpam-6488	210	9	4	4	NUM
ejpam-6488	210	10	)	)	PUNCT
ejpam-6488	210	11	(	(	PUNCT
ejpam-6488	210	12	2025	2025	NUM
ejpam-6488	210	13	)	)	PUNCT
ejpam-6488	210	14	,	,	PUNCT
ejpam-6488	210	15	6488	6488	NUM
ejpam-6488	210	16	10	10	NUM
ejpam-6488	210	17	of	of	ADP
ejpam-6488	210	18	20	20	NUM
ejpam-6488	210	19	4	4	NUM
ejpam-6488	210	20	.	.	PUNCT
ejpam-6488	210	21	unique	unique	ADJ
ejpam-6488	210	22	solvability	solvability	NOUN
ejpam-6488	210	23	of	of	ADP
ejpam-6488	210	24	the	the	DET
ejpam-6488	210	25	general	general	ADJ
ejpam-6488	210	26	iterative	iterative	NOUN
ejpam-6488	210	27	problem	problem	NOUN
ejpam-6488	210	28	in	in	ADP
ejpam-6488	210	29	the	the	DET
ejpam-6488	210	30	space	space	NOUN
ejpam-6488	210	31	u.	u.	PROPN
ejpam-6488	210	32	remainder	remainder	PROPN
ejpam-6488	210	33	theorem	theorem	PROPN
ejpam-6488	210	34	as	as	SCONJ
ejpam-6488	210	35	seen	see	VERB
ejpam-6488	210	36	from	from	ADP
ejpam-6488	210	37	(	(	PUNCT
ejpam-6488	210	38	3.6	3.6	NUM
ejpam-6488	210	39	)	)	PUNCT
ejpam-6488	210	40	,	,	PUNCT
ejpam-6488	210	41	the	the	DET
ejpam-6488	210	42	solution	solution	NOUN
ejpam-6488	210	43	of	of	ADP
ejpam-6488	210	44	the	the	DET
ejpam-6488	210	45	equation	equation	NOUN
ejpam-6488	210	46	(	(	PUNCT
ejpam-6488	210	47	3.2	3.2	NUM
ejpam-6488	210	48	)	)	PUNCT
ejpam-6488	210	49	is	be	AUX
ejpam-6488	210	50	determined	determine	VERB
ejpam-6488	210	51	ambiguously	ambiguously	ADV
ejpam-6488	210	52	.	.	PUNCT
ejpam-6488	211	1	however	however	ADV
ejpam-6488	211	2	,	,	PUNCT
ejpam-6488	211	3	if	if	SCONJ
ejpam-6488	211	4	its	its	PRON
ejpam-6488	211	5	solution	solution	NOUN
ejpam-6488	211	6	satisfies	satisfy	VERB
ejpam-6488	211	7	to	to	ADP
ejpam-6488	211	8	the	the	DET
ejpam-6488	211	9	additional	additional	ADJ
ejpam-6488	211	10	conditions	condition	NOUN
ejpam-6488	211	11	u(x0	u(x0	NOUN
ejpam-6488	211	12	,	,	PUNCT
ejpam-6488	211	13	t	t	PROPN
ejpam-6488	211	14	,	,	PUNCT
ejpam-6488	211	15	0	0	NUM
ejpam-6488	211	16	)	)	PUNCT
ejpam-6488	211	17	=	=	SYM
ejpam-6488	211	18	y∗(t	y∗(t	NOUN
ejpam-6488	211	19	)	)	PUNCT
ejpam-6488	211	20	,	,	PUNCT
ejpam-6488	211	21	〈	〈	PROPN
ejpam-6488	211	22	−∂u	−∂u	NOUN
ejpam-6488	211	23	∂x	∂x	PROPN
ejpam-6488	211	24	+	+	NUM
ejpam-6488	211	25	r1u+q	r1u+q	NOUN
ejpam-6488	211	26	(	(	PUNCT
ejpam-6488	211	27	x0	x0	PROPN
ejpam-6488	211	28	,	,	PUNCT
ejpam-6488	211	29	t	t	PROPN
ejpam-6488	211	30	,	,	PUNCT
ejpam-6488	211	31	τ	τ	PROPN
ejpam-6488	211	32	)	)	PUNCT
ejpam-6488	211	33	,	,	PUNCT
ejpam-6488	211	34	e	e	NOUN
ejpam-6488	211	35	τ1	τ1	ADP
ejpam-6488	211	36	〉	〉	NOUN
ejpam-6488	211	37	≡	≡	PROPN
ejpam-6488	211	38	0	0	NUM
ejpam-6488	211	39	,	,	PUNCT
ejpam-6488	211	40	∀(x	∀(x	PRON
ejpam-6488	211	41	,	,	PUNCT
ejpam-6488	211	42	t	t	PROPN
ejpam-6488	211	43	)	)	PUNCT
ejpam-6488	211	44	∈	∈	PROPN
ejpam-6488	212	1	[	[	X
ejpam-6488	212	2	x0	x0	PROPN
ejpam-6488	212	3	,	,	PUNCT
ejpam-6488	212	4	x]×	x]×	NOUN
ejpam-6488	213	1	[	[	X
ejpam-6488	213	2	0	0	NUM
ejpam-6488	213	3	,	,	PUNCT
ejpam-6488	213	4	t	t	X
ejpam-6488	213	5	]	]	PUNCT
ejpam-6488	213	6	(	(	PUNCT
ejpam-6488	213	7	4.1	4.1	NUM
ejpam-6488	213	8	)	)	PUNCT
ejpam-6488	213	9	where	where	SCONJ
ejpam-6488	213	10	q(x	q(x	PROPN
ejpam-6488	213	11	,	,	PUNCT
ejpam-6488	213	12	t	t	PROPN
ejpam-6488	213	13	,	,	PUNCT
ejpam-6488	213	14	τ	τ	X
ejpam-6488	213	15	)	)	PUNCT
ejpam-6488	213	16	=	=	SYM
ejpam-6488	213	17	h0(x	h0(x	PROPN
ejpam-6488	213	18	,	,	PUNCT
ejpam-6488	213	19	t	t	PROPN
ejpam-6488	213	20	)	)	PUNCT
ejpam-6488	213	21	+	+	NUM
ejpam-6488	214	1	2∑	2∑	NUM
ejpam-6488	214	2	j=1	j=1	NOUN
ejpam-6488	214	3	qj(x	qj(x	NUM
ejpam-6488	214	4	,	,	PUNCT
ejpam-6488	214	5	t)e	t)e	NOUN
ejpam-6488	214	6	τj	τj	SCONJ
ejpam-6488	214	7	is	be	AUX
ejpam-6488	214	8	a	a	DET
ejpam-6488	214	9	known	know	VERB
ejpam-6488	214	10	function	function	NOUN
ejpam-6488	214	11	of	of	ADP
ejpam-6488	214	12	the	the	DET
ejpam-6488	214	13	space	space	NOUN
ejpam-6488	214	14	u	u	NOUN
ejpam-6488	214	15	,	,	PUNCT
ejpam-6488	214	16	y∗	y∗	ADV
ejpam-6488	214	17	is	be	AUX
ejpam-6488	214	18	a	a	DET
ejpam-6488	214	19	constant	constant	ADJ
ejpam-6488	214	20	number	number	NOUN
ejpam-6488	214	21	of	of	ADP
ejpam-6488	214	22	the	the	DET
ejpam-6488	214	23	complex	complex	ADJ
ejpam-6488	214	24	space	space	NOUN
ejpam-6488	214	25	c	c	NOUN
ejpam-6488	214	26	,	,	PUNCT
ejpam-6488	214	27	then	then	ADV
ejpam-6488	214	28	equation	equation	NOUN
ejpam-6488	214	29	(	(	PUNCT
ejpam-6488	214	30	3.2	3.2	NUM
ejpam-6488	214	31	)	)	PUNCT
ejpam-6488	214	32	will	will	AUX
ejpam-6488	214	33	be	be	AUX
ejpam-6488	214	34	uniquely	uniquely	ADV
ejpam-6488	214	35	solvable	solvable	ADJ
ejpam-6488	214	36	in	in	ADP
ejpam-6488	214	37	the	the	DET
ejpam-6488	214	38	space	space	NOUN
ejpam-6488	214	39	u.	u.	NOUN
ejpam-6488	214	40	more	more	ADV
ejpam-6488	214	41	precisely	precisely	ADV
ejpam-6488	214	42	,	,	PUNCT
ejpam-6488	214	43	the	the	DET
ejpam-6488	214	44	following	follow	VERB
ejpam-6488	214	45	result	result	NOUN
ejpam-6488	214	46	holds	hold	VERB
ejpam-6488	214	47	.	.	PUNCT
ejpam-6488	215	1	theorem	theorem	NOUN
ejpam-6488	215	2	3	3	X
ejpam-6488	215	3	.	.	PUNCT
ejpam-6488	216	1	let	let	VERB
ejpam-6488	216	2	conditions	condition	NOUN
ejpam-6488	216	3	(	(	PUNCT
ejpam-6488	216	4	i)–(ii	i)–(ii	NUM
ejpam-6488	216	5	)	)	PUNCT
ejpam-6488	216	6	be	be	AUX
ejpam-6488	216	7	satisfied	satisfied	ADJ
ejpam-6488	216	8	,	,	PUNCT
ejpam-6488	216	9	the	the	DET
ejpam-6488	216	10	right	right	ADJ
ejpam-6488	216	11	-	-	PUNCT
ejpam-6488	216	12	hand	hand	NOUN
ejpam-6488	216	13	side	side	NOUN
ejpam-6488	216	14	h	h	NOUN
ejpam-6488	216	15	(	(	PUNCT
ejpam-6488	216	16	x	x	PROPN
ejpam-6488	216	17	,	,	PUNCT
ejpam-6488	216	18	t	t	PROPN
ejpam-6488	216	19	,	,	PUNCT
ejpam-6488	216	20	τ	τ	PROPN
ejpam-6488	216	21	)	)	PUNCT
ejpam-6488	216	22	of	of	ADP
ejpam-6488	216	23	the	the	DET
ejpam-6488	216	24	equation	equation	NOUN
ejpam-6488	216	25	(	(	PUNCT
ejpam-6488	216	26	3.2	3.2	NUM
ejpam-6488	216	27	)	)	PUNCT
ejpam-6488	216	28	belongs	belong	VERB
ejpam-6488	216	29	to	to	ADP
ejpam-6488	216	30	the	the	DET
ejpam-6488	216	31	space	space	NOUN
ejpam-6488	216	32	u	u	NOUN
ejpam-6488	216	33	and	and	CCONJ
ejpam-6488	216	34	satisfies	satisfy	VERB
ejpam-6488	216	35	the	the	DET
ejpam-6488	216	36	orthogonality	orthogonality	NOUN
ejpam-6488	216	37	condition	condition	NOUN
ejpam-6488	216	38	(	(	PUNCT
ejpam-6488	216	39	3.3	3.3	NUM
ejpam-6488	216	40	)	)	PUNCT
ejpam-6488	216	41	.	.	PUNCT
ejpam-6488	217	1	then	then	ADV
ejpam-6488	217	2	equation	equation	NOUN
ejpam-6488	217	3	(	(	PUNCT
ejpam-6488	217	4	3.2	3.2	NUM
ejpam-6488	217	5	)	)	PUNCT
ejpam-6488	217	6	under	under	ADP
ejpam-6488	217	7	additional	additional	ADJ
ejpam-6488	217	8	conditions	condition	NOUN
ejpam-6488	217	9	(	(	PUNCT
ejpam-6488	217	10	4.1	4.1	NUM
ejpam-6488	217	11	)	)	PUNCT
ejpam-6488	217	12	is	be	AUX
ejpam-6488	217	13	uniquely	uniquely	ADV
ejpam-6488	217	14	solvable	solvable	ADJ
ejpam-6488	217	15	in	in	ADP
ejpam-6488	217	16	u.	u.	NOUN
ejpam-6488	217	17	proof	proof	NOUN
ejpam-6488	217	18	.	.	PUNCT
ejpam-6488	218	1	under	under	ADP
ejpam-6488	218	2	condition	condition	NOUN
ejpam-6488	218	3	(	(	PUNCT
ejpam-6488	218	4	3.3	3.3	NUM
ejpam-6488	218	5	)	)	PUNCT
ejpam-6488	218	6	,	,	PUNCT
ejpam-6488	218	7	equation	equation	NOUN
ejpam-6488	218	8	(	(	PUNCT
ejpam-6488	218	9	3.2	3.2	NUM
ejpam-6488	218	10	)	)	PUNCT
ejpam-6488	218	11	has	have	VERB
ejpam-6488	218	12	a	a	DET
ejpam-6488	218	13	solution	solution	NOUN
ejpam-6488	218	14	(	(	PUNCT
ejpam-6488	218	15	3.6	3.6	NUM
ejpam-6488	218	16	)	)	PUNCT
ejpam-6488	218	17	in	in	ADP
ejpam-6488	218	18	the	the	DET
ejpam-6488	218	19	space	space	NOUN
ejpam-6488	218	20	u	u	NOUN
ejpam-6488	218	21	,	,	PUNCT
ejpam-6488	218	22	where	where	SCONJ
ejpam-6488	218	23	the	the	DET
ejpam-6488	218	24	function	function	NOUN
ejpam-6488	218	25	α1	α1	PROPN
ejpam-6488	218	26	(	(	PUNCT
ejpam-6488	218	27	x	x	NOUN
ejpam-6488	218	28	,	,	PUNCT
ejpam-6488	218	29	t	t	PROPN
ejpam-6488	218	30	)	)	PUNCT
ejpam-6488	218	31	∈	∈	PROPN
ejpam-6488	218	32	c∞[x0	c∞[x0	ADV
ejpam-6488	218	33	,	,	PUNCT
ejpam-6488	218	34	x]×	x]×	NOUN
ejpam-6488	219	1	[	[	X
ejpam-6488	219	2	0	0	NUM
ejpam-6488	219	3	,	,	PUNCT
ejpam-6488	219	4	t	t	X
ejpam-6488	219	5	]	]	PUNCT
ejpam-6488	219	6	,	,	PUNCT
ejpam-6488	219	7	are	be	AUX
ejpam-6488	219	8	still	still	ADV
ejpam-6488	219	9	arbitrary	arbitrary	ADJ
ejpam-6488	219	10	.	.	PUNCT
ejpam-6488	220	1	subordinating	subordinate	VERB
ejpam-6488	220	2	(	(	PUNCT
ejpam-6488	220	3	3.6	3.6	NUM
ejpam-6488	220	4	)	)	PUNCT
ejpam-6488	220	5	to	to	ADP
ejpam-6488	220	6	the	the	DET
ejpam-6488	220	7	first	first	ADJ
ejpam-6488	220	8	condition	condition	NOUN
ejpam-6488	220	9	(	(	PUNCT
ejpam-6488	220	10	4.1	4.1	NUM
ejpam-6488	220	11	)	)	PUNCT
ejpam-6488	220	12	,	,	PUNCT
ejpam-6488	220	13	i.e.	i.e.	X
ejpam-6488	220	14	u	u	X
ejpam-6488	220	15	(	(	PUNCT
ejpam-6488	220	16	x0	x0	PROPN
ejpam-6488	220	17	,	,	PUNCT
ejpam-6488	220	18	t	t	PROPN
ejpam-6488	220	19	,	,	PUNCT
ejpam-6488	220	20	0	0	NUM
ejpam-6488	220	21	)	)	PUNCT
ejpam-6488	220	22	=	=	SYM
ejpam-6488	220	23	y∗(t	y∗(t	NOUN
ejpam-6488	220	24	)	)	PUNCT
ejpam-6488	220	25	,	,	PUNCT
ejpam-6488	220	26	we	we	PRON
ejpam-6488	220	27	obtain	obtain	VERB
ejpam-6488	220	28	the	the	DET
ejpam-6488	220	29	equation	equation	NOUN
ejpam-6488	220	30	−a−1(x0	−a−1(x0	PROPN
ejpam-6488	220	31	,	,	PUNCT
ejpam-6488	220	32	t)h0(x0	t)h0(x0	NOUN
ejpam-6488	220	33	,	,	PUNCT
ejpam-6488	220	34	t	t	PROPN
ejpam-6488	220	35	)	)	PUNCT
ejpam-6488	220	36	+	+	CCONJ
ejpam-6488	220	37	α1(x0	α1(x0	NUM
ejpam-6488	220	38	,	,	PUNCT
ejpam-6488	220	39	t	t	PROPN
ejpam-6488	220	40	)	)	PUNCT
ejpam-6488	220	41	+	+	CCONJ
ejpam-6488	221	1	[	[	X
ejpam-6488	221	2	λ2(x0)−	λ2(x0)−	X
ejpam-6488	221	3	λ1(x0	λ1(x0	NUM
ejpam-6488	221	4	)	)	PUNCT
ejpam-6488	221	5	]	]	PUNCT
ejpam-6488	222	1	−1h2(x0	−1h2(x0	PROPN
ejpam-6488	222	2	,	,	PUNCT
ejpam-6488	222	3	t	t	PROPN
ejpam-6488	222	4	)	)	PUNCT
ejpam-6488	222	5	=	=	SYM
ejpam-6488	222	6	y∗(t	y∗(t	PROPN
ejpam-6488	222	7	)	)	PUNCT
ejpam-6488	222	8	and	and	CCONJ
ejpam-6488	222	9	we	we	PRON
ejpam-6488	222	10	find	find	VERB
ejpam-6488	222	11	the	the	DET
ejpam-6488	222	12	values	value	NOUN
ejpam-6488	222	13	α1(x0	α1(x0	NUM
ejpam-6488	222	14	,	,	PUNCT
ejpam-6488	222	15	t	t	NOUN
ejpam-6488	222	16	)	)	PUNCT
ejpam-6488	222	17	=	=	SYM
ejpam-6488	222	18	y∗(t	y∗(t	NOUN
ejpam-6488	222	19	)	)	PUNCT
ejpam-6488	222	20	+	+	CCONJ
ejpam-6488	222	21	a−1(x0	a−1(x0	ADV
ejpam-6488	222	22	,	,	PUNCT
ejpam-6488	222	23	t)h0(x0	t)h0(x0	AUX
ejpam-6488	222	24	,	,	PUNCT
ejpam-6488	222	25	t)−	t)−	PROPN
ejpam-6488	223	1	[	[	X
ejpam-6488	223	2	λ2(x0)−	λ2(x0)−	X
ejpam-6488	223	3	λ1(x0	λ1(x0	NUM
ejpam-6488	223	4	)	)	PUNCT
ejpam-6488	223	5	]	]	PUNCT
ejpam-6488	224	1	−1h2(x0	−1h2(x0	PROPN
ejpam-6488	224	2	,	,	PUNCT
ejpam-6488	224	3	t	t	PROPN
ejpam-6488	224	4	)	)	PUNCT
ejpam-6488	224	5	.	.	PUNCT
ejpam-6488	225	1	(	(	PUNCT
ejpam-6488	225	2	4.2	4.2	NUM
ejpam-6488	225	3	)	)	PUNCT
ejpam-6488	225	4	let	let	VERB
ejpam-6488	225	5	us	we	PRON
ejpam-6488	225	6	now	now	ADV
ejpam-6488	225	7	subordinate	subordinate	ADJ
ejpam-6488	225	8	solution	solution	NOUN
ejpam-6488	225	9	(	(	PUNCT
ejpam-6488	225	10	3.6	3.6	NUM
ejpam-6488	225	11	)	)	PUNCT
ejpam-6488	225	12	to	to	ADP
ejpam-6488	225	13	the	the	DET
ejpam-6488	225	14	second	second	ADJ
ejpam-6488	225	15	condition	condition	NOUN
ejpam-6488	225	16	(	(	PUNCT
ejpam-6488	225	17	4.1	4.1	NUM
ejpam-6488	225	18	)	)	PUNCT
ejpam-6488	225	19	.	.	PUNCT
ejpam-6488	226	1	the	the	DET
ejpam-6488	226	2	right	right	ADJ
ejpam-6488	226	3	-	-	PUNCT
ejpam-6488	226	4	hand	hand	NOUN
ejpam-6488	226	5	side	side	NOUN
ejpam-6488	226	6	of	of	ADP
ejpam-6488	226	7	this	this	DET
ejpam-6488	226	8	equation	equation	NOUN
ejpam-6488	226	9	has	have	VERB
ejpam-6488	226	10	the	the	DET
ejpam-6488	226	11	form	form	NOUN
ejpam-6488	226	12	−∂u0	−∂u0	ADP
ejpam-6488	226	13	∂x	∂x	PROPN
ejpam-6488	226	14	+	+	NOUN
ejpam-6488	226	15	r1u0	r1u0	PROPN
ejpam-6488	226	16	+	+	NOUN
ejpam-6488	226	17	q	q	X
ejpam-6488	226	18	(	(	PUNCT
ejpam-6488	226	19	x	x	X
ejpam-6488	226	20	,	,	PUNCT
ejpam-6488	226	21	t	t	PROPN
ejpam-6488	226	22	,	,	PUNCT
ejpam-6488	226	23	τ	τ	X
ejpam-6488	226	24	)	)	PUNCT
ejpam-6488	226	25	=	=	SYM
ejpam-6488	227	1	−	−	PROPN
ejpam-6488	227	2	∂	∂	NUM
ejpam-6488	227	3	∂x	∂x	PROPN
ejpam-6488	227	4	(	(	PUNCT
ejpam-6488	227	5	u0(x	u0(x	NOUN
ejpam-6488	227	6	,	,	PUNCT
ejpam-6488	227	7	t))−	t))−	NOUN
ejpam-6488	227	8	∂	∂	NOUN
ejpam-6488	227	9	∂x	∂x	PROPN
ejpam-6488	227	10	(	(	PUNCT
ejpam-6488	227	11	α1(x	α1(x	PROPN
ejpam-6488	227	12	,	,	PUNCT
ejpam-6488	227	13	t	t	PROPN
ejpam-6488	227	14	)	)	PUNCT
ejpam-6488	227	15	)	)	PUNCT
ejpam-6488	228	1	e	e	X
ejpam-6488	228	2	τ1	τ1	NOUN
ejpam-6488	228	3	+	+	CCONJ
ejpam-6488	228	4	(	(	PUNCT
ejpam-6488	228	5	h2(x	h2(x	PROPN
ejpam-6488	228	6	,	,	PUNCT
ejpam-6488	228	7	t	t	PROPN
ejpam-6488	228	8	)	)	PUNCT
ejpam-6488	228	9	λ2(x)−	λ2(x)−	PROPN
ejpam-6488	228	10	λ1(x	λ1(x	NOUN
ejpam-6488	228	11	)	)	PUNCT
ejpam-6488	228	12	)	)	PUNCT
ejpam-6488	228	13	•	•	NUM
ejpam-6488	229	1	eτ2	eτ2	PROPN
ejpam-6488	229	2	+	+	NOUN
ejpam-6488	230	1	+	+	NUM
ejpam-6488	230	2	2∑	2∑	NUM
ejpam-6488	230	3	j=1	j=1	NOUN
ejpam-6488	230	4	[	[	PUNCT
ejpam-6488	230	5	k(x	k(x	PROPN
ejpam-6488	230	6	,	,	PUNCT
ejpam-6488	230	7	t	t	PROPN
ejpam-6488	230	8	,	,	PUNCT
ejpam-6488	230	9	x)uj(x	x)uj(x	NUM
ejpam-6488	230	10	,	,	PUNCT
ejpam-6488	230	11	t	t	PROPN
ejpam-6488	230	12	)	)	PUNCT
ejpam-6488	230	13	λj(x	λj(x	X
ejpam-6488	230	14	)	)	PUNCT
ejpam-6488	230	15	eτj	eτj	PROPN
ejpam-6488	230	16	−k(x	−k(x	PROPN
ejpam-6488	230	17	,	,	PUNCT
ejpam-6488	230	18	t	t	PROPN
ejpam-6488	230	19	,	,	PUNCT
ejpam-6488	230	20	x0)uj(x0	x0)uj(x0	PROPN
ejpam-6488	230	21	,	,	PUNCT
ejpam-6488	230	22	t	t	PROPN
ejpam-6488	230	23	)	)	PUNCT
ejpam-6488	230	24	λj(x0	λj(x0	NOUN
ejpam-6488	230	25	)	)	PUNCT
ejpam-6488	230	26	]	]	PUNCT
ejpam-6488	231	1	+	+	PUNCT
ejpam-6488	231	2	q	q	X
ejpam-6488	231	3	(	(	PUNCT
ejpam-6488	231	4	x	x	X
ejpam-6488	231	5	,	,	PUNCT
ejpam-6488	231	6	t	t	PROPN
ejpam-6488	231	7	,	,	PUNCT
ejpam-6488	231	8	τ	τ	PROPN
ejpam-6488	231	9	)	)	PUNCT
ejpam-6488	231	10	.	.	PUNCT
ejpam-6488	232	1	we	we	PRON
ejpam-6488	232	2	obtain	obtain	VERB
ejpam-6488	232	3	equations	equation	NOUN
ejpam-6488	232	4	α̇1(x	α̇1(x	NOUN
ejpam-6488	232	5	,	,	PUNCT
ejpam-6488	232	6	t)−	t)−	PROPN
ejpam-6488	232	7	k(x	k(x	PROPN
ejpam-6488	232	8	,	,	PUNCT
ejpam-6488	232	9	t	t	PROPN
ejpam-6488	232	10	,	,	PUNCT
ejpam-6488	232	11	x	x	NOUN
ejpam-6488	232	12	)	)	PUNCT
ejpam-6488	232	13	λ1(x	λ1(x	NOUN
ejpam-6488	232	14	)	)	PUNCT
ejpam-6488	232	15	α1(x	α1(x	NOUN
ejpam-6488	232	16	,	,	PUNCT
ejpam-6488	232	17	t)−q1(x	t)−q1(x	NOUN
ejpam-6488	232	18	,	,	PUNCT
ejpam-6488	232	19	t	t	PROPN
ejpam-6488	232	20	)	)	PUNCT
ejpam-6488	232	21	=	=	SYM
ejpam-6488	233	1	0	0	X
ejpam-6488	233	2	.	.	PUNCT
ejpam-6488	233	3	adding	add	VERB
ejpam-6488	233	4	the	the	DET
ejpam-6488	233	5	initial	initial	ADJ
ejpam-6488	233	6	conditions	condition	NOUN
ejpam-6488	233	7	(	(	PUNCT
ejpam-6488	233	8	4.2	4.2	NUM
ejpam-6488	233	9	)	)	PUNCT
ejpam-6488	233	10	to	to	ADP
ejpam-6488	233	11	them	they	PRON
ejpam-6488	233	12	,	,	PUNCT
ejpam-6488	233	13	we	we	PRON
ejpam-6488	233	14	can	can	AUX
ejpam-6488	233	15	uniquely	uniquely	ADV
ejpam-6488	233	16	find	find	VERB
ejpam-6488	233	17	the	the	DET
ejpam-6488	233	18	function	function	NOUN
ejpam-6488	233	19	α1(x	α1(x	PROPN
ejpam-6488	233	20	,	,	PUNCT
ejpam-6488	233	21	t	t	PROPN
ejpam-6488	233	22	)	)	PUNCT
ejpam-6488	233	23	:	:	PUNCT
ejpam-6488	234	1	α1(x	α1(x	PROPN
ejpam-6488	234	2	,	,	PUNCT
ejpam-6488	234	3	t	t	PROPN
ejpam-6488	234	4	)	)	PUNCT
ejpam-6488	234	5	=	=	SYM
ejpam-6488	234	6	α1(x0	α1(x0	NUM
ejpam-6488	234	7	,	,	PUNCT
ejpam-6488	234	8	t)e	t)e	NOUN
ejpam-6488	234	9	−	−	PROPN
ejpam-6488	235	1	x∫	x∫	PROPN
ejpam-6488	235	2	x0	x0	PROPN
ejpam-6488	235	3	k(s	k(s	PROPN
ejpam-6488	235	4	,	,	PUNCT
ejpam-6488	235	5	t	t	PROPN
ejpam-6488	235	6	,	,	PUNCT
ejpam-6488	235	7	s	s	PART
ejpam-6488	235	8	)	)	PUNCT
ejpam-6488	235	9	λ1(s	λ1(s	PROPN
ejpam-6488	235	10	)	)	PUNCT
ejpam-6488	235	11	dx	dx	PROPN
ejpam-6488	236	1	+	+	CCONJ
ejpam-6488	237	1	x∫	x∫	ADJ
ejpam-6488	237	2	x0	x0	PROPN
ejpam-6488	237	3	e	e	X
ejpam-6488	237	4	−	−	PROPN
ejpam-6488	237	5	s∫	s∫	PROPN
ejpam-6488	237	6	x0	x0	PROPN
ejpam-6488	237	7	k(s	k(s	PROPN
ejpam-6488	237	8	,	,	PUNCT
ejpam-6488	237	9	t	t	PROPN
ejpam-6488	237	10	,	,	PUNCT
ejpam-6488	237	11	s	s	PART
ejpam-6488	237	12	)	)	PUNCT
ejpam-6488	237	13	λ1(s	λ1(s	NOUN
ejpam-6488	237	14	)	)	PUNCT
ejpam-6488	237	15	ds	ds	ADJ
ejpam-6488	237	16	q1(s	q1(s	PROPN
ejpam-6488	237	17	,	,	PUNCT
ejpam-6488	237	18	t)ds	t)ds	PROPN
ejpam-6488	237	19	m.	m.	NOUN
ejpam-6488	237	20	begaidarov	begaidarov	PROPN
ejpam-6488	237	21	,	,	PUNCT
ejpam-6488	237	22	d.	d.	PROPN
ejpam-6488	237	23	bibulova	bibulova	PROPN
ejpam-6488	237	24	,	,	PUNCT
ejpam-6488	237	25	b.	b.	PROPN
ejpam-6488	237	26	kalimbetov	kalimbetov	PROPN
ejpam-6488	237	27	/	/	SYM
ejpam-6488	237	28	eur	eur	PROPN
ejpam-6488	237	29	.	.	PUNCT
ejpam-6488	238	1	j.	j.	PROPN
ejpam-6488	238	2	pure	pure	PROPN
ejpam-6488	238	3	appl	appl	PROPN
ejpam-6488	238	4	.	.	PROPN
ejpam-6488	238	5	math	math	PROPN
ejpam-6488	238	6	,	,	PUNCT
ejpam-6488	238	7	18	18	NUM
ejpam-6488	238	8	(	(	PUNCT
ejpam-6488	238	9	4	4	NUM
ejpam-6488	238	10	)	)	PUNCT
ejpam-6488	238	11	(	(	PUNCT
ejpam-6488	238	12	2025	2025	NUM
ejpam-6488	238	13	)	)	PUNCT
ejpam-6488	238	14	,	,	PUNCT
ejpam-6488	238	15	6488	6488	NUM
ejpam-6488	238	16	11	11	NUM
ejpam-6488	238	17	of	of	ADP
ejpam-6488	238	18	20	20	NUM
ejpam-6488	238	19	and	and	CCONJ
ejpam-6488	238	20	hence	hence	ADV
ejpam-6488	238	21	,	,	PUNCT
ejpam-6488	238	22	we	we	PRON
ejpam-6488	238	23	define	define	VERB
ejpam-6488	238	24	the	the	DET
ejpam-6488	238	25	solution	solution	NOUN
ejpam-6488	238	26	(	(	PUNCT
ejpam-6488	238	27	3.6	3.6	NUM
ejpam-6488	238	28	)	)	PUNCT
ejpam-6488	238	29	of	of	ADP
ejpam-6488	238	30	the	the	DET
ejpam-6488	238	31	equation	equation	NOUN
ejpam-6488	238	32	(	(	PUNCT
ejpam-6488	238	33	3.2	3.2	NUM
ejpam-6488	238	34	)	)	PUNCT
ejpam-6488	238	35	in	in	ADP
ejpam-6488	238	36	the	the	DET
ejpam-6488	238	37	space	space	NOUN
ejpam-6488	238	38	in	in	ADP
ejpam-6488	238	39	a	a	DET
ejpam-6488	238	40	unique	unique	ADJ
ejpam-6488	238	41	way	way	NOUN
ejpam-6488	238	42	.	.	PUNCT
ejpam-6488	239	1	the	the	DET
ejpam-6488	239	2	theorem	theorem	NOUN
ejpam-6488	239	3	3	3	NUM
ejpam-6488	239	4	is	be	AUX
ejpam-6488	239	5	proved	prove	VERB
ejpam-6488	239	6	.	.	PUNCT
ejpam-6488	240	1	applying	apply	VERB
ejpam-6488	240	2	theorems	theorem	NOUN
ejpam-6488	240	3	2	2	NUM
ejpam-6488	240	4	and	and	CCONJ
ejpam-6488	240	5	3	3	NUM
ejpam-6488	240	6	to	to	ADP
ejpam-6488	240	7	iterative	iterative	VERB
ejpam-6488	240	8	problems	problem	NOUN
ejpam-6488	240	9	(	(	PUNCT
ejpam-6488	240	10	3.1k	3.1k	NUM
ejpam-6488	240	11	)	)	PUNCT
ejpam-6488	240	12	,	,	PUNCT
ejpam-6488	240	13	we	we	PRON
ejpam-6488	240	14	find	find	VERB
ejpam-6488	240	15	uniquely	uniquely	ADV
ejpam-6488	240	16	their	their	PRON
ejpam-6488	240	17	solutions	solution	NOUN
ejpam-6488	240	18	in	in	ADP
ejpam-6488	240	19	the	the	DET
ejpam-6488	240	20	space	space	NOUN
ejpam-6488	240	21	u	u	NOUN
ejpam-6488	240	22	and	and	CCONJ
ejpam-6488	240	23	construct	construct	VERB
ejpam-6488	240	24	series	series	NOUN
ejpam-6488	240	25	(	(	PUNCT
ejpam-6488	240	26	2.5	2.5	NUM
ejpam-6488	240	27	)	)	PUNCT
ejpam-6488	240	28	.	.	PUNCT
ejpam-6488	241	1	let	let	VERB
ejpam-6488	241	2	uεn	uεn	NOUN
ejpam-6488	241	3	(	(	PUNCT
ejpam-6488	241	4	x	x	NOUN
ejpam-6488	241	5	,	,	PUNCT
ejpam-6488	241	6	t	t	PROPN
ejpam-6488	241	7	)	)	PUNCT
ejpam-6488	241	8	=	=	SYM
ejpam-6488	242	1	n∑	n∑	PRON
ejpam-6488	242	2	k=0	k=0	PROPN
ejpam-6488	242	3	εkuk	εkuk	NOUN
ejpam-6488	242	4	(	(	PUNCT
ejpam-6488	242	5	x	x	NOUN
ejpam-6488	242	6	,	,	PUNCT
ejpam-6488	242	7	t	t	PROPN
ejpam-6488	242	8	,	,	PUNCT
ejpam-6488	242	9	φ(x)ε	φ(x)ε	PROPN
ejpam-6488	242	10	)	)	PUNCT
ejpam-6488	242	11	is	be	AUX
ejpam-6488	242	12	the	the	DET
ejpam-6488	242	13	restriction	restriction	NOUN
ejpam-6488	242	14	of	of	ADP
ejpam-6488	242	15	the	the	DET
ejpam-6488	242	16	n−th	n−th	NOUN
ejpam-6488	242	17	partial	partial	ADJ
ejpam-6488	242	18	sum	sum	NOUN
ejpam-6488	242	19	of	of	ADP
ejpam-6488	242	20	series	series	NOUN
ejpam-6488	242	21	(	(	PUNCT
ejpam-6488	242	22	2.5	2.5	NUM
ejpam-6488	242	23	)	)	PUNCT
ejpam-6488	242	24	for	for	ADP
ejpam-6488	242	25	τ	τ	X
ejpam-6488	242	26	=	=	SYM
ejpam-6488	242	27	φ(x	φ(x	PROPN
ejpam-6488	242	28	)	)	PUNCT
ejpam-6488	242	29	ε	ε	PROPN
ejpam-6488	242	30	.	.	PUNCT
ejpam-6488	243	1	same	same	ADJ
ejpam-6488	243	2	as	as	ADP
ejpam-6488	243	3	in	in	ADP
ejpam-6488	243	4	[	[	X
ejpam-6488	243	5	1	1	NUM
ejpam-6488	243	6	,	,	PUNCT
ejpam-6488	243	7	34	34	NUM
ejpam-6488	243	8	]	]	PUNCT
ejpam-6488	243	9	,	,	PUNCT
ejpam-6488	243	10	it	it	PRON
ejpam-6488	243	11	is	be	AUX
ejpam-6488	243	12	easy	easy	ADJ
ejpam-6488	243	13	to	to	PART
ejpam-6488	243	14	prove	prove	VERB
ejpam-6488	243	15	the	the	DET
ejpam-6488	243	16	following	follow	VERB
ejpam-6488	243	17	statement	statement	NOUN
ejpam-6488	243	18	.	.	PUNCT
ejpam-6488	244	1	lemma	lemma	PROPN
ejpam-6488	244	2	1	1	X
ejpam-6488	244	3	.	.	PUNCT
ejpam-6488	245	1	let	let	VERB
ejpam-6488	245	2	conditions	condition	NOUN
ejpam-6488	245	3	(	(	PUNCT
ejpam-6488	245	4	i	i	NOUN
ejpam-6488	245	5	)	)	PUNCT
ejpam-6488	245	6	(	(	PUNCT
ejpam-6488	245	7	iii	iii	X
ejpam-6488	245	8	)	)	PUNCT
ejpam-6488	245	9	be	be	AUX
ejpam-6488	245	10	satisfied	satisfied	ADJ
ejpam-6488	245	11	.	.	PUNCT
ejpam-6488	246	1	then	then	ADV
ejpam-6488	246	2	the	the	DET
ejpam-6488	246	3	partial	partial	ADJ
ejpam-6488	246	4	sum	sum	NOUN
ejpam-6488	246	5	uεn	uεn	NOUN
ejpam-6488	246	6	(	(	PUNCT
ejpam-6488	246	7	x	x	NOUN
ejpam-6488	246	8	,	,	PUNCT
ejpam-6488	246	9	t	t	PROPN
ejpam-6488	246	10	)	)	PUNCT
ejpam-6488	246	11	satisfies	satisfy	VERB
ejpam-6488	246	12	problem	problem	NOUN
ejpam-6488	246	13	(	(	PUNCT
ejpam-6488	246	14	1.1	1.1	NUM
ejpam-6488	246	15	)	)	PUNCT
ejpam-6488	246	16	up	up	ADP
ejpam-6488	246	17	to	to	ADP
ejpam-6488	246	18	o(εn+1	o(εn+1	NUM
ejpam-6488	246	19	)	)	PUNCT
ejpam-6488	246	20	(	(	PUNCT
ejpam-6488	246	21	ε→	ε→	NUM
ejpam-6488	246	22	+0	+0	ADP
ejpam-6488	246	23	)	)	PUNCT
ejpam-6488	246	24	,	,	PUNCT
ejpam-6488	246	25	i.e.	i.e.	X
ejpam-6488	246	26	ε	ε	PROPN
ejpam-6488	246	27	duεn	duεn	NOUN
ejpam-6488	246	28	(	(	PUNCT
ejpam-6488	246	29	x	x	NOUN
ejpam-6488	246	30	,	,	PUNCT
ejpam-6488	246	31	t	t	PROPN
ejpam-6488	246	32	)	)	PUNCT
ejpam-6488	246	33	dt	dt	PROPN
ejpam-6488	246	34	≡	≡	PROPN
ejpam-6488	246	35	a(x)uεn	a(x)uεn	PROPN
ejpam-6488	246	36	(	(	PUNCT
ejpam-6488	246	37	x	x	X
ejpam-6488	246	38	,	,	PUNCT
ejpam-6488	246	39	t	t	PROPN
ejpam-6488	246	40	)	)	PUNCT
ejpam-6488	246	41	+	+	CCONJ
ejpam-6488	246	42	x∫	x∫	PROPN
ejpam-6488	246	43	x0	x0	PROPN
ejpam-6488	246	44	k(x	k(x	PROPN
ejpam-6488	246	45	,	,	PUNCT
ejpam-6488	246	46	t	t	PROPN
ejpam-6488	246	47	,	,	PUNCT
ejpam-6488	246	48	s)uεn	s)uεn	PROPN
ejpam-6488	246	49	(	(	PUNCT
ejpam-6488	246	50	s	s	PROPN
ejpam-6488	246	51	,	,	PUNCT
ejpam-6488	246	52	t)ds+	t)ds+	PRON
ejpam-6488	246	53	h2(x	h2(x	NOUN
ejpam-6488	246	54	,	,	PUNCT
ejpam-6488	246	55	t)e	t)e	NOUN
ejpam-6488	246	56	iβ(x	iβ(x	NOUN
ejpam-6488	246	57	)	)	PUNCT
ejpam-6488	246	58	ε	ε	PROPN
ejpam-6488	246	59	+	+	PROPN
ejpam-6488	247	1	+	+	ADJ
ejpam-6488	247	2	h1(x	h1(x	PROPN
ejpam-6488	247	3	,	,	PUNCT
ejpam-6488	247	4	t	t	PROPN
ejpam-6488	247	5	)	)	PUNCT
ejpam-6488	247	6	+	+	CCONJ
ejpam-6488	247	7	εn+1rn	εn+1rn	ADV
ejpam-6488	247	8	(	(	PUNCT
ejpam-6488	247	9	x	x	X
ejpam-6488	247	10	,	,	PUNCT
ejpam-6488	247	11	t	t	PROPN
ejpam-6488	247	12	,	,	PUNCT
ejpam-6488	247	13	ε	ε	PROPN
ejpam-6488	247	14	)	)	PUNCT
ejpam-6488	247	15	,	,	PUNCT
ejpam-6488	247	16	uεn	uεn	NOUN
ejpam-6488	247	17	(	(	PUNCT
ejpam-6488	247	18	x0	x0	PROPN
ejpam-6488	247	19	,	,	PUNCT
ejpam-6488	247	20	t	t	PROPN
ejpam-6488	247	21	)	)	PUNCT
ejpam-6488	248	1	=	=	PUNCT
ejpam-6488	248	2	y0(t	y0(t	PROPN
ejpam-6488	248	3	)	)	PUNCT
ejpam-6488	248	4	,	,	PUNCT
ejpam-6488	248	5	∀(x	∀(x	PROPN
ejpam-6488	248	6	,	,	PUNCT
ejpam-6488	248	7	t	t	PROPN
ejpam-6488	248	8	)	)	PUNCT
ejpam-6488	248	9	∈	∈	PROPN
ejpam-6488	249	1	[	[	X
ejpam-6488	249	2	x0	x0	PROPN
ejpam-6488	249	3	,	,	PUNCT
ejpam-6488	249	4	x]×	x]×	NOUN
ejpam-6488	250	1	[	[	X
ejpam-6488	250	2	0	0	NUM
ejpam-6488	250	3	,	,	PUNCT
ejpam-6488	250	4	t	t	X
ejpam-6488	250	5	]	]	PUNCT
ejpam-6488	250	6	(	(	PUNCT
ejpam-6488	250	7	4.3	4.3	NUM
ejpam-6488	250	8	)	)	PUNCT
ejpam-6488	250	9	where	where	SCONJ
ejpam-6488	250	10	||rn	||rn	NUM
ejpam-6488	250	11	(	(	PUNCT
ejpam-6488	250	12	x	x	X
ejpam-6488	250	13	,	,	PUNCT
ejpam-6488	250	14	t	t	PROPN
ejpam-6488	250	15	,	,	PUNCT
ejpam-6488	250	16	ε)||c[x0,x]×[0,t	ε)||c[x0,x]×[0,t	VERB
ejpam-6488	250	17	]	]	PUNCT
ejpam-6488	250	18	≤	≤	NUM
ejpam-6488	250	19	r̄n	r̄n	NOUN
ejpam-6488	250	20	for	for	ADP
ejpam-6488	250	21	all	all	DET
ejpam-6488	250	22	(	(	PUNCT
ejpam-6488	250	23	x	x	NOUN
ejpam-6488	250	24	,	,	PUNCT
ejpam-6488	250	25	t	t	PROPN
ejpam-6488	250	26	)	)	PUNCT
ejpam-6488	250	27	∈	∈	PROPN
ejpam-6488	250	28	[	[	X
ejpam-6488	250	29	x0	x0	PROPN
ejpam-6488	250	30	,	,	PUNCT
ejpam-6488	250	31	x]×	x]×	NOUN
ejpam-6488	251	1	[	[	X
ejpam-6488	251	2	0	0	NUM
ejpam-6488	251	3	,	,	PUNCT
ejpam-6488	251	4	t	t	NOUN
ejpam-6488	251	5	]	]	PUNCT
ejpam-6488	251	6	and	and	CCONJ
ejpam-6488	251	7	for	for	ADP
ejpam-6488	251	8	all	all	DET
ejpam-6488	251	9	ε	ε	PROPN
ejpam-6488	251	10	∈	∈	PROPN
ejpam-6488	251	11	(	(	PUNCT
ejpam-6488	251	12	0	0	NUM
ejpam-6488	251	13	,	,	PUNCT
ejpam-6488	251	14	εn	εn	ADJ
ejpam-6488	251	15	]	]	PUNCT
ejpam-6488	251	16	.	.	PUNCT
ejpam-6488	252	1	consider	consider	VERB
ejpam-6488	252	2	now	now	ADV
ejpam-6488	252	3	the	the	DET
ejpam-6488	252	4	following	follow	VERB
ejpam-6488	252	5	problem	problem	NOUN
ejpam-6488	252	6	:	:	PUNCT
ejpam-6488	252	7	ε∂u(x	ε∂u(x	NOUN
ejpam-6488	252	8	,	,	PUNCT
ejpam-6488	252	9	t	t	PROPN
ejpam-6488	252	10	,	,	PUNCT
ejpam-6488	252	11	ε)∂x	ε)∂x	PROPN
ejpam-6488	252	12	=	=	PUNCT
ejpam-6488	252	13	a(x)u(x	a(x)u(x	PROPN
ejpam-6488	252	14	,	,	PUNCT
ejpam-6488	252	15	t	t	PROPN
ejpam-6488	252	16	,	,	PUNCT
ejpam-6488	252	17	ε	ε	PROPN
ejpam-6488	252	18	)	)	PUNCT
ejpam-6488	253	1	+	+	CCONJ
ejpam-6488	253	2	x∫	x∫	PROPN
ejpam-6488	253	3	x0	x0	PROPN
ejpam-6488	253	4	k(x	k(x	PROPN
ejpam-6488	253	5	,	,	PUNCT
ejpam-6488	253	6	t	t	PROPN
ejpam-6488	253	7	,	,	PUNCT
ejpam-6488	253	8	s)u(s	s)u(s	PROPN
ejpam-6488	253	9	,	,	PUNCT
ejpam-6488	253	10	t	t	PROPN
ejpam-6488	253	11	,	,	PUNCT
ejpam-6488	253	12	ε)ds+	ε)ds+	PUNCT
ejpam-6488	254	1	+	+	NOUN
ejpam-6488	254	2	φ(x	φ(x	PROPN
ejpam-6488	254	3	,	,	PUNCT
ejpam-6488	254	4	t	t	PROPN
ejpam-6488	254	5	,	,	PUNCT
ejpam-6488	254	6	ε	ε	PROPN
ejpam-6488	254	7	)	)	PUNCT
ejpam-6488	254	8	,	,	PUNCT
ejpam-6488	254	9	u(x0	u(x0	PROPN
ejpam-6488	254	10	,	,	PUNCT
ejpam-6488	254	11	t	t	PROPN
ejpam-6488	254	12	,	,	PUNCT
ejpam-6488	254	13	ε	ε	PROPN
ejpam-6488	254	14	)	)	PUNCT
ejpam-6488	254	15	=	=	SYM
ejpam-6488	254	16	0	0	NUM
ejpam-6488	254	17	,	,	PUNCT
ejpam-6488	254	18	(	(	PUNCT
ejpam-6488	254	19	x	x	NOUN
ejpam-6488	254	20	,	,	PUNCT
ejpam-6488	254	21	t	t	PROPN
ejpam-6488	254	22	)	)	PUNCT
ejpam-6488	254	23	∈	∈	PROPN
ejpam-6488	255	1	[	[	X
ejpam-6488	255	2	x0	x0	PROPN
ejpam-6488	255	3	,	,	PUNCT
ejpam-6488	255	4	x]×	x]×	NOUN
ejpam-6488	256	1	[	[	X
ejpam-6488	256	2	0	0	NUM
ejpam-6488	256	3	,	,	PUNCT
ejpam-6488	256	4	t	t	X
ejpam-6488	256	5	]	]	PUNCT
ejpam-6488	256	6	.	.	PUNCT
ejpam-6488	257	1	(	(	PUNCT
ejpam-6488	257	2	4.4	4.4	NUM
ejpam-6488	257	3	)	)	PUNCT
ejpam-6488	257	4	let	let	VERB
ejpam-6488	257	5	us	we	PRON
ejpam-6488	257	6	show	show	VERB
ejpam-6488	257	7	that	that	SCONJ
ejpam-6488	257	8	this	this	DET
ejpam-6488	257	9	problem	problem	NOUN
ejpam-6488	257	10	is	be	AUX
ejpam-6488	257	11	solvable	solvable	ADJ
ejpam-6488	257	12	in	in	ADP
ejpam-6488	257	13	the	the	DET
ejpam-6488	257	14	space	space	NOUN
ejpam-6488	257	15	c1	c1	NOUN
ejpam-6488	257	16	[	[	X
ejpam-6488	257	17	x0	x0	PROPN
ejpam-6488	257	18	,	,	PUNCT
ejpam-6488	257	19	x	x	X
ejpam-6488	257	20	]	]	X
ejpam-6488	257	21	×	×	NOUN
ejpam-6488	258	1	[	[	X
ejpam-6488	258	2	0	0	NUM
ejpam-6488	258	3	,	,	PUNCT
ejpam-6488	258	4	t	t	X
ejpam-6488	258	5	]	]	PUNCT
ejpam-6488	258	6	(	(	PUNCT
ejpam-6488	258	7	i.e.	i.e.	X
ejpam-6488	258	8	it	it	PRON
ejpam-6488	258	9	has	have	VERB
ejpam-6488	258	10	a	a	DET
ejpam-6488	258	11	solution	solution	NOUN
ejpam-6488	258	12	for	for	ADP
ejpam-6488	258	13	any	any	DET
ejpam-6488	258	14	right	right	ADJ
ejpam-6488	258	15	-	-	PUNCT
ejpam-6488	258	16	hand	hand	NOUN
ejpam-6488	258	17	side	side	NOUN
ejpam-6488	258	18	φ(t	φ(t	PROPN
ejpam-6488	258	19	,	,	PUNCT
ejpam-6488	259	1	ε	ε	PROPN
ejpam-6488	259	2	)	)	PUNCT
ejpam-6488	259	3	∈	∈	PROPN
ejpam-6488	259	4	c	c	NOUN
ejpam-6488	259	5	(	(	PUNCT
ejpam-6488	259	6	[	[	X
ejpam-6488	259	7	x0	x0	PROPN
ejpam-6488	259	8	,	,	PUNCT
ejpam-6488	259	9	x]×	x]×	NOUN
ejpam-6488	260	1	[	[	X
ejpam-6488	260	2	0	0	NUM
ejpam-6488	260	3	,	,	PUNCT
ejpam-6488	260	4	t	t	X
ejpam-6488	260	5	]	]	PUNCT
ejpam-6488	260	6	,	,	PUNCT
ejpam-6488	260	7	c2	c2	PROPN
ejpam-6488	260	8	)	)	PUNCT
ejpam-6488	260	9	and	and	CCONJ
ejpam-6488	260	10	that	that	SCONJ
ejpam-6488	260	11	in	in	ADP
ejpam-6488	260	12	this	this	DET
ejpam-6488	260	13	case	case	NOUN
ejpam-6488	260	14	there	there	PRON
ejpam-6488	260	15	is	be	VERB
ejpam-6488	260	16	an	an	DET
ejpam-6488	260	17	estimate	estimate	NOUN
ejpam-6488	260	18	||u(x	||u(x	NOUN
ejpam-6488	260	19	,	,	PUNCT
ejpam-6488	260	20	t	t	PROPN
ejpam-6488	260	21	,	,	PUNCT
ejpam-6488	260	22	ε)||c[x0,x]×[0,t	ε)||c[x0,x]×[0,t	VERB
ejpam-6488	260	23	]	]	PUNCT
ejpam-6488	260	24	≤	≤	NUM
ejpam-6488	260	25	ν0	ν0	PROPN
ejpam-6488	260	26	ε	ε	PROPN
ejpam-6488	260	27	||φ(x	||φ(x	NOUN
ejpam-6488	260	28	,	,	PUNCT
ejpam-6488	260	29	t	t	PROPN
ejpam-6488	260	30	,	,	PUNCT
ejpam-6488	260	31	ε)||c[x0,x]×[0,t	ε)||c[x0,x]×[0,t	VERB
ejpam-6488	260	32	]	]	X
ejpam-6488	260	33	.	.	PUNCT
ejpam-6488	261	1	(	(	PUNCT
ejpam-6488	261	2	4.5	4.5	NUM
ejpam-6488	261	3	)	)	PUNCT
ejpam-6488	261	4	theorem	theorem	NOUN
ejpam-6488	261	5	4	4	NUM
ejpam-6488	261	6	.	.	PUNCT
ejpam-6488	262	1	let	let	VERB
ejpam-6488	262	2	conditions	condition	NOUN
ejpam-6488	262	3	(	(	PUNCT
ejpam-6488	262	4	i	i	NOUN
ejpam-6488	262	5	)	)	PUNCT
ejpam-6488	262	6	(	(	PUNCT
ejpam-6488	262	7	iii	iii	X
ejpam-6488	262	8	)	)	PUNCT
ejpam-6488	262	9	be	be	AUX
ejpam-6488	262	10	satisfied	satisfied	ADJ
ejpam-6488	262	11	.	.	PUNCT
ejpam-6488	263	1	then	then	ADV
ejpam-6488	263	2	,	,	PUNCT
ejpam-6488	263	3	for	for	ADP
ejpam-6488	263	4	sufficiently	sufficiently	ADV
ejpam-6488	263	5	small	small	ADJ
ejpam-6488	263	6	ε∈	ε∈	PROPN
ejpam-6488	263	7	(	(	PUNCT
ejpam-6488	263	8	0	0	NUM
ejpam-6488	263	9	,	,	PUNCT
ejpam-6488	263	10	ε0	ε0	PROPN
ejpam-6488	263	11	]	]	X
ejpam-6488	263	12	problem	problem	NOUN
ejpam-6488	263	13	(	(	PUNCT
ejpam-6488	263	14	4.4	4.4	NUM
ejpam-6488	263	15	)	)	PUNCT
ejpam-6488	263	16	for	for	ADP
ejpam-6488	263	17	any	any	DET
ejpam-6488	263	18	right	right	ADJ
ejpam-6488	263	19	-	-	PUNCT
ejpam-6488	263	20	hand	hand	NOUN
ejpam-6488	263	21	side	side	NOUN
ejpam-6488	263	22	φ(x	φ(x	PROPN
ejpam-6488	263	23	,	,	PUNCT
ejpam-6488	263	24	t	t	PROPN
ejpam-6488	263	25	,	,	PUNCT
ejpam-6488	263	26	ε	ε	PROPN
ejpam-6488	263	27	)	)	PUNCT
ejpam-6488	263	28	∈	∈	PROPN
ejpam-6488	263	29	c	c	NOUN
ejpam-6488	264	1	[	[	X
ejpam-6488	264	2	x0	x0	PROPN
ejpam-6488	264	3	,	,	PUNCT
ejpam-6488	264	4	x	x	X
ejpam-6488	264	5	]	]	X
ejpam-6488	264	6	×	×	NOUN
ejpam-6488	264	7	[	[	X
ejpam-6488	264	8	0	0	NUM
ejpam-6488	264	9	,	,	PUNCT
ejpam-6488	264	10	t	t	PROPN
ejpam-6488	264	11	]	]	PUNCT
ejpam-6488	264	12	has	have	VERB
ejpam-6488	264	13	a	a	DET
ejpam-6488	264	14	unique	unique	ADJ
ejpam-6488	264	15	solution	solution	NOUN
ejpam-6488	264	16	u(x	u(x	NOUN
ejpam-6488	264	17	,	,	PUNCT
ejpam-6488	264	18	t	t	PROPN
ejpam-6488	264	19	,	,	PUNCT
ejpam-6488	264	20	ε	ε	PROPN
ejpam-6488	264	21	)	)	PUNCT
ejpam-6488	264	22	in	in	ADP
ejpam-6488	264	23	the	the	DET
ejpam-6488	264	24	space	space	NOUN
ejpam-6488	264	25	c1	c1	NOUN
ejpam-6488	264	26	[	[	X
ejpam-6488	264	27	x0	x0	PROPN
ejpam-6488	264	28	,	,	PUNCT
ejpam-6488	264	29	x	x	X
ejpam-6488	264	30	]	]	X
ejpam-6488	264	31	×	×	NOUN
ejpam-6488	265	1	[	[	X
ejpam-6488	265	2	0	0	NUM
ejpam-6488	265	3	,	,	PUNCT
ejpam-6488	265	4	t	t	NOUN
ejpam-6488	265	5	]	]	PUNCT
ejpam-6488	265	6	and	and	CCONJ
ejpam-6488	265	7	estimate	estimate	VERB
ejpam-6488	265	8	(	(	PUNCT
ejpam-6488	265	9	4.5	4.5	NUM
ejpam-6488	265	10	)	)	PUNCT
ejpam-6488	265	11	holds	hold	NOUN
ejpam-6488	265	12	,	,	PUNCT
ejpam-6488	265	13	where	where	SCONJ
ejpam-6488	265	14	ν0	ν0	PROPN
ejpam-6488	265	15	is	be	AUX
ejpam-6488	265	16	a	a	DET
ejpam-6488	265	17	constant	constant	ADJ
ejpam-6488	265	18	independent	independent	NOUN
ejpam-6488	265	19	of	of	ADP
ejpam-6488	265	20	ε	ε	PROPN
ejpam-6488	265	21	>	>	X
ejpam-6488	265	22	0	0	PROPN
ejpam-6488	265	23	.	.	PUNCT
ejpam-6488	266	1	proof	proof	NOUN
ejpam-6488	266	2	.	.	PUNCT
ejpam-6488	267	1	introduce	introduce	VERB
ejpam-6488	267	2	an	an	DET
ejpam-6488	267	3	additional	additional	ADJ
ejpam-6488	267	4	unknown	unknown	ADJ
ejpam-6488	267	5	function	function	NOUN
ejpam-6488	267	6	z(x	z(x	PROPN
ejpam-6488	267	7	,	,	PUNCT
ejpam-6488	267	8	t	t	PROPN
ejpam-6488	267	9	,	,	PUNCT
ejpam-6488	267	10	ε	ε	PROPN
ejpam-6488	267	11	)	)	PUNCT
ejpam-6488	267	12	=	=	PUNCT
ejpam-6488	268	1	x∫	x∫	NUM
ejpam-6488	268	2	x0	x0	PROPN
ejpam-6488	268	3	k(x	k(x	PROPN
ejpam-6488	268	4	,	,	PUNCT
ejpam-6488	268	5	t	t	PROPN
ejpam-6488	268	6	,	,	PUNCT
ejpam-6488	268	7	s)z(s	s)z(s	PROPN
ejpam-6488	268	8	,	,	PUNCT
ejpam-6488	268	9	t	t	PROPN
ejpam-6488	268	10	,	,	PUNCT
ejpam-6488	268	11	ε)ds	ε)ds	PROPN
ejpam-6488	268	12	.	.	NOUN
ejpam-6488	268	13	differentiating	differentiate	VERB
ejpam-6488	268	14	it	it	PRON
ejpam-6488	268	15	with	with	ADP
ejpam-6488	268	16	respect	respect	NOUN
ejpam-6488	268	17	to	to	ADP
ejpam-6488	268	18	x	x	PRON
ejpam-6488	268	19	,	,	PUNCT
ejpam-6488	268	20	we	we	PRON
ejpam-6488	268	21	will	will	AUX
ejpam-6488	268	22	have	have	VERB
ejpam-6488	268	23	ε	ε	PROPN
ejpam-6488	268	24	∂z	∂z	PROPN
ejpam-6488	268	25	(	(	PUNCT
ejpam-6488	268	26	x	x	PROPN
ejpam-6488	268	27	,	,	PUNCT
ejpam-6488	268	28	t	t	PROPN
ejpam-6488	268	29	,	,	PUNCT
ejpam-6488	268	30	ε	ε	PROPN
ejpam-6488	268	31	)	)	PUNCT
ejpam-6488	268	32	∂x	∂x	PROPN
ejpam-6488	268	33	=	=	SYM
ejpam-6488	268	34	εk(x	εk(x	PROPN
ejpam-6488	268	35	,	,	PUNCT
ejpam-6488	268	36	t	t	PROPN
ejpam-6488	268	37	,	,	PUNCT
ejpam-6488	268	38	x)z(x	x)z(x	PROPN
ejpam-6488	268	39	,	,	PUNCT
ejpam-6488	268	40	t	t	PROPN
ejpam-6488	268	41	,	,	PUNCT
ejpam-6488	268	42	ε	ε	PROPN
ejpam-6488	268	43	)	)	PUNCT
ejpam-6488	269	1	+	+	CCONJ
ejpam-6488	269	2	ε	ε	PROPN
ejpam-6488	269	3	x∫	x∫	NUM
ejpam-6488	269	4	x0	x0	PROPN
ejpam-6488	269	5	∂k(x	∂k(x	PROPN
ejpam-6488	269	6	,	,	PUNCT
ejpam-6488	269	7	t	t	PROPN
ejpam-6488	269	8	,	,	PUNCT
ejpam-6488	269	9	s	s	NOUN
ejpam-6488	269	10	)	)	PUNCT
ejpam-6488	269	11	∂x	∂x	PROPN
ejpam-6488	269	12	z(s	z(s	PROPN
ejpam-6488	269	13	,	,	PUNCT
ejpam-6488	269	14	t	t	PROPN
ejpam-6488	269	15	,	,	PUNCT
ejpam-6488	269	16	ε)ds	ε)ds	PROPN
ejpam-6488	269	17	.	.	PROPN
ejpam-6488	269	18	m.	m.	NOUN
ejpam-6488	269	19	begaidarov	begaidarov	PROPN
ejpam-6488	269	20	,	,	PUNCT
ejpam-6488	269	21	d.	d.	PROPN
ejpam-6488	269	22	bibulova	bibulova	PROPN
ejpam-6488	269	23	,	,	PUNCT
ejpam-6488	269	24	b.	b.	PROPN
ejpam-6488	269	25	kalimbetov	kalimbetov	PROPN
ejpam-6488	269	26	/	/	SYM
ejpam-6488	269	27	eur	eur	PROPN
ejpam-6488	269	28	.	.	PUNCT
ejpam-6488	270	1	j.	j.	PROPN
ejpam-6488	270	2	pure	pure	PROPN
ejpam-6488	270	3	appl	appl	PROPN
ejpam-6488	270	4	.	.	PROPN
ejpam-6488	270	5	math	math	PROPN
ejpam-6488	270	6	,	,	PUNCT
ejpam-6488	270	7	18	18	NUM
ejpam-6488	270	8	(	(	PUNCT
ejpam-6488	270	9	4	4	NUM
ejpam-6488	270	10	)	)	PUNCT
ejpam-6488	270	11	(	(	PUNCT
ejpam-6488	270	12	2025	2025	NUM
ejpam-6488	270	13	)	)	PUNCT
ejpam-6488	270	14	,	,	PUNCT
ejpam-6488	270	15	6488	6488	NUM
ejpam-6488	270	16	12	12	NUM
ejpam-6488	270	17	of	of	ADP
ejpam-6488	270	18	20	20	NUM
ejpam-6488	270	19	from	from	ADP
ejpam-6488	270	20	this	this	PRON
ejpam-6488	270	21	and	and	CCONJ
ejpam-6488	270	22	(	(	PUNCT
ejpam-6488	270	23	4.3	4.3	NUM
ejpam-6488	270	24	)	)	PUNCT
ejpam-6488	270	25	it	it	PRON
ejpam-6488	270	26	follows	follow	VERB
ejpam-6488	270	27	that	that	SCONJ
ejpam-6488	270	28	the	the	DET
ejpam-6488	270	29	vector	vector	NOUN
ejpam-6488	270	30	function	function	NOUN
ejpam-6488	270	31	w	w	PROPN
ejpam-6488	270	32	=	=	PUNCT
ejpam-6488	270	33	{	{	PUNCT
ejpam-6488	270	34	z	z	PROPN
ejpam-6488	270	35	,	,	PUNCT
ejpam-6488	270	36	u	u	NOUN
ejpam-6488	270	37	}	}	PUNCT
ejpam-6488	270	38	satisfies	satisfy	VERB
ejpam-6488	270	39	the	the	DET
ejpam-6488	270	40	following	follow	VERB
ejpam-6488	270	41	system	system	NOUN
ejpam-6488	270	42	:	:	PUNCT
ejpam-6488	271	1	ε	ε	PROPN
ejpam-6488	271	2	∂z∂x	∂z∂x	X
ejpam-6488	271	3	=	=	SYM
ejpam-6488	271	4	(	(	PUNCT
ejpam-6488	271	5	a(x	a(x	PROPN
ejpam-6488	271	6	)	)	PUNCT
ejpam-6488	271	7	1	1	NUM
ejpam-6488	271	8	0	0	NUM
ejpam-6488	271	9	0	0	NUM
ejpam-6488	271	10	)	)	PUNCT
ejpam-6488	272	1	w	w	PROPN
ejpam-6488	273	1	+	+	NUM
ejpam-6488	273	2	ε	ε	PROPN
ejpam-6488	273	3			PROPN
ejpam-6488	273	4	0	0	NUM
ejpam-6488	273	5	k(x	k(x	PROPN
ejpam-6488	273	6	,	,	PUNCT
ejpam-6488	273	7	t	t	PROPN
ejpam-6488	273	8	,	,	PUNCT
ejpam-6488	273	9	x)z	x)z	PUNCT
ejpam-6488	274	1	+	+	CCONJ
ejpam-6488	274	2	x∫	x∫	ADJ
ejpam-6488	274	3	x0	x0	PROPN
ejpam-6488	274	4	∂k(x	∂k(x	PROPN
ejpam-6488	274	5	,	,	PUNCT
ejpam-6488	274	6	t	t	PROPN
ejpam-6488	274	7	,	,	PUNCT
ejpam-6488	274	8	s	s	NOUN
ejpam-6488	274	9	)	)	PUNCT
ejpam-6488	274	10	∂x	∂x	PROPN
ejpam-6488	274	11	z(x	z(x	NUM
ejpam-6488	274	12	,	,	PUNCT
ejpam-6488	274	13	s	s	X
ejpam-6488	274	14	,	,	PUNCT
ejpam-6488	274	15	ε)ds	ε)ds	PROPN
ejpam-6488	274	16	+	+	PROPN
ejpam-6488	274	17	+	+	CCONJ
ejpam-6488	274	18	(	(	PUNCT
ejpam-6488	274	19	φ(x	φ(x	PROPN
ejpam-6488	274	20	,	,	PUNCT
ejpam-6488	274	21	t	t	PROPN
ejpam-6488	274	22	,	,	PUNCT
ejpam-6488	274	23	ε	ε	PROPN
ejpam-6488	274	24	)	)	PUNCT
ejpam-6488	274	25	0	0	NUM
ejpam-6488	274	26	)	)	PUNCT
ejpam-6488	274	27	,	,	PUNCT
ejpam-6488	274	28	w(x0	w(x0	NOUN
ejpam-6488	274	29	,	,	PUNCT
ejpam-6488	274	30	t	t	PROPN
ejpam-6488	274	31	,	,	PUNCT
ejpam-6488	274	32	ε	ε	PROPN
ejpam-6488	274	33	)	)	PUNCT
ejpam-6488	274	34	=	=	SYM
ejpam-6488	274	35	0	0	X
ejpam-6488	274	36	.	.	PUNCT
ejpam-6488	274	37	(	(	PUNCT
ejpam-6488	274	38	4.6	4.6	NUM
ejpam-6488	274	39	)	)	PUNCT
ejpam-6488	274	40	denote	denote	NOUN
ejpam-6488	274	41	by	by	ADP
ejpam-6488	274	42	y	y	PROPN
ejpam-6488	274	43	(	(	PUNCT
ejpam-6488	274	44	x	x	PROPN
ejpam-6488	274	45	,	,	PUNCT
ejpam-6488	274	46	t	t	PROPN
ejpam-6488	274	47	,	,	PUNCT
ejpam-6488	274	48	s	s	PROPN
ejpam-6488	274	49	,	,	PUNCT
ejpam-6488	274	50	ε	ε	PROPN
ejpam-6488	274	51	)	)	PUNCT
ejpam-6488	274	52	the	the	DET
ejpam-6488	274	53	normal	normal	ADJ
ejpam-6488	274	54	fundamental	fundamental	ADJ
ejpam-6488	274	55	matrix	matrix	NOUN
ejpam-6488	274	56	of	of	ADP
ejpam-6488	274	57	the	the	DET
ejpam-6488	274	58	homogeneous	homogeneous	ADJ
ejpam-6488	274	59	system	system	NOUN
ejpam-6488	274	60	ε	ε	PROPN
ejpam-6488	274	61	∂w	∂w	PROPN
ejpam-6488	274	62	∂x	∂x	PROPN
ejpam-6488	274	63	=	=	SYM
ejpam-6488	274	64	(	(	PUNCT
ejpam-6488	274	65	a(x	a(x	PROPN
ejpam-6488	274	66	)	)	PUNCT
ejpam-6488	274	67	1	1	NUM
ejpam-6488	274	68	0	0	NUM
ejpam-6488	274	69	0	0	NUM
ejpam-6488	274	70	)	)	PUNCT
ejpam-6488	275	1	w	w	ADP
ejpam-6488	275	2	i.e.	i.e.	X
ejpam-6488	275	3	,	,	PUNCT
ejpam-6488	275	4	the	the	DET
ejpam-6488	275	5	matrix	matrix	NOUN
ejpam-6488	275	6	satisfying	satisfy	VERB
ejpam-6488	275	7	the	the	DET
ejpam-6488	275	8	equation	equation	NOUN
ejpam-6488	275	9	ε	ε	PROPN
ejpam-6488	275	10	∂y	∂y	PRON
ejpam-6488	275	11	(	(	PUNCT
ejpam-6488	275	12	x	x	PROPN
ejpam-6488	275	13	,	,	PUNCT
ejpam-6488	275	14	η	η	PROPN
ejpam-6488	275	15	,	,	PUNCT
ejpam-6488	275	16	ε	ε	PROPN
ejpam-6488	275	17	)	)	PUNCT
ejpam-6488	275	18	∂x	∂x	PROPN
ejpam-6488	275	19	=	=	SYM
ejpam-6488	275	20	(	(	PUNCT
ejpam-6488	275	21	a(x	a(x	PROPN
ejpam-6488	275	22	)	)	PUNCT
ejpam-6488	275	23	1	1	NUM
ejpam-6488	275	24	0	0	NUM
ejpam-6488	275	25	0	0	NUM
ejpam-6488	275	26	)	)	PUNCT
ejpam-6488	276	1	y	y	PROPN
ejpam-6488	276	2	(	(	PUNCT
ejpam-6488	276	3	x	x	PROPN
ejpam-6488	276	4	,	,	PUNCT
ejpam-6488	276	5	η	η	PROPN
ejpam-6488	276	6	,	,	PUNCT
ejpam-6488	276	7	ε	ε	PROPN
ejpam-6488	276	8	)	)	PUNCT
ejpam-6488	276	9	,	,	PUNCT
ejpam-6488	276	10	y	y	PROPN
ejpam-6488	276	11	(	(	PUNCT
ejpam-6488	276	12	x	x	X
ejpam-6488	276	13	,	,	PUNCT
ejpam-6488	276	14	x	x	NOUN
ejpam-6488	276	15	,	,	PUNCT
ejpam-6488	276	16	ε	ε	PROPN
ejpam-6488	276	17	)	)	PUNCT
ejpam-6488	276	18	=	=	SYM
ejpam-6488	276	19	i	i	PROPN
ejpam-6488	276	20	,	,	PUNCT
ejpam-6488	276	21	x0	x0	PROPN
ejpam-6488	276	22	≤	≤	PROPN
ejpam-6488	276	23	η	η	PROPN
ejpam-6488	276	24	≤	≤	PROPN
ejpam-6488	276	25	x	x	SYM
ejpam-6488	276	26	≤	≤	NUM
ejpam-6488	276	27	x.	x.	NOUN
ejpam-6488	276	28	since	since	SCONJ
ejpam-6488	276	29	the	the	DET
ejpam-6488	276	30	matrix	matrix	NOUN
ejpam-6488	276	31	(	(	PUNCT
ejpam-6488	276	32	a(x	a(x	PROPN
ejpam-6488	276	33	)	)	PUNCT
ejpam-6488	276	34	1	1	NUM
ejpam-6488	276	35	0	0	NUM
ejpam-6488	276	36	0	0	NUM
ejpam-6488	276	37	)	)	PUNCT
ejpam-6488	276	38	is	be	AUX
ejpam-6488	276	39	a	a	DET
ejpam-6488	276	40	matrix	matrix	NOUN
ejpam-6488	276	41	of	of	ADP
ejpam-6488	276	42	simple	simple	ADJ
ejpam-6488	276	43	structure	structure	NOUN
ejpam-6488	276	44	and	and	CCONJ
ejpam-6488	276	45	its	its	PRON
ejpam-6488	276	46	spectrum	spectrum	NOUN
ejpam-6488	276	47	{	{	PUNCT
ejpam-6488	276	48	λ1(x	λ1(x	NOUN
ejpam-6488	276	49	)	)	PUNCT
ejpam-6488	276	50	,	,	PUNCT
ejpam-6488	276	51	0	0	NUM
ejpam-6488	276	52	}	}	PUNCT
ejpam-6488	276	53	lies	lie	VERB
ejpam-6488	276	54	in	in	ADP
ejpam-6488	276	55	the	the	DET
ejpam-6488	276	56	half	half	ADJ
ejpam-6488	276	57	-	-	PUNCT
ejpam-6488	276	58	plane	plane	NOUN
ejpam-6488	276	59	reλ1(x	reλ1(x	NOUN
ejpam-6488	276	60	)	)	PUNCT
ejpam-6488	276	61	≤	≤	NOUN
ejpam-6488	276	62	0	0	NUM
ejpam-6488	276	63	,	,	PUNCT
ejpam-6488	276	64	then	then	ADV
ejpam-6488	276	65	the	the	DET
ejpam-6488	276	66	cauchy	cauchy	ADJ
ejpam-6488	276	67	matrix	matrix	NOUN
ejpam-6488	276	68	y	y	PROPN
ejpam-6488	276	69	(	(	PUNCT
ejpam-6488	276	70	x	x	PROPN
ejpam-6488	276	71	,	,	PUNCT
ejpam-6488	276	72	η	η	PROPN
ejpam-6488	276	73	,	,	PUNCT
ejpam-6488	276	74	ε	ε	PROPN
ejpam-6488	276	75	)	)	PUNCT
ejpam-6488	276	76	is	be	AUX
ejpam-6488	276	77	uniformly	uniformly	ADV
ejpam-6488	276	78	bounded	bound	VERB
ejpam-6488	276	79	,	,	PUNCT
ejpam-6488	276	80	i.e.	i.e.	X
ejpam-6488	276	81	,	,	PUNCT
ejpam-6488	276	82	∥y	∥y	PROPN
ejpam-6488	276	83	(	(	PUNCT
ejpam-6488	276	84	x	x	NOUN
ejpam-6488	276	85	,	,	PUNCT
ejpam-6488	276	86	η	η	PROPN
ejpam-6488	276	87	,	,	PUNCT
ejpam-6488	276	88	ε)∥	ε)∥	ADJ
ejpam-6488	276	89	≤	≤	NUM
ejpam-6488	276	90	c0	c0	X
ejpam-6488	276	91	∀(x	∀(x	X
ejpam-6488	276	92	,	,	PUNCT
ejpam-6488	276	93	η	η	PROPN
ejpam-6488	276	94	,	,	PUNCT
ejpam-6488	276	95	ε	ε	PROPN
ejpam-6488	276	96	)	)	PUNCT
ejpam-6488	276	97	:	:	PUNCT
ejpam-6488	277	1	x0	x0	PROPN
ejpam-6488	277	2	≤	≤	NUM
ejpam-6488	277	3	η	η	PROPN
ejpam-6488	277	4	≤	≤	NUM
ejpam-6488	277	5	x	x	PUNCT
ejpam-6488	277	6	≤	≤	NUM
ejpam-6488	277	7	x	x	PUNCT
ejpam-6488	277	8	,	,	PUNCT
ejpam-6488	277	9	ε	ε	PROPN
ejpam-6488	277	10	>	>	X
ejpam-6488	277	11	0	0	NUM
ejpam-6488	277	12	where	where	SCONJ
ejpam-6488	277	13	the	the	DET
ejpam-6488	277	14	constant	constant	ADJ
ejpam-6488	277	15	c0	c0	NOUN
ejpam-6488	277	16	>	>	X
ejpam-6488	277	17	0	0	PUNCT
ejpam-6488	277	18	does	do	AUX
ejpam-6488	277	19	not	not	PART
ejpam-6488	277	20	depend	depend	VERB
ejpam-6488	277	21	on	on	ADP
ejpam-6488	277	22	ε	ε	PROPN
ejpam-6488	277	23	>	>	X
ejpam-6488	277	24	0	0	PUNCT
ejpam-6488	278	1	(	(	PUNCT
ejpam-6488	278	2	see	see	VERB
ejpam-6488	278	3	,	,	PUNCT
ejpam-6488	278	4	for	for	ADP
ejpam-6488	278	5	example	example	NOUN
ejpam-6488	278	6	,	,	PUNCT
ejpam-6488	278	7	[	[	X
ejpam-6488	278	8	1	1	NUM
ejpam-6488	278	9	]	]	PUNCT
ejpam-6488	278	10	,	,	PUNCT
ejpam-6488	278	11	pp	pp	ADJ
ejpam-6488	278	12	.	.	PUNCT
ejpam-6488	279	1	119	119	NUM
ejpam-6488	279	2	-	-	SYM
ejpam-6488	279	3	120	120	NUM
ejpam-6488	279	4	)	)	PUNCT
ejpam-6488	279	5	.	.	PUNCT
ejpam-6488	280	1	we	we	PRON
ejpam-6488	280	2	now	now	ADV
ejpam-6488	280	3	write	write	VERB
ejpam-6488	280	4	down	down	ADP
ejpam-6488	280	5	an	an	DET
ejpam-6488	280	6	integral	integral	ADJ
ejpam-6488	280	7	system	system	NOUN
ejpam-6488	280	8	equivalent	equivalent	ADJ
ejpam-6488	280	9	to	to	ADP
ejpam-6488	280	10	system	system	NOUN
ejpam-6488	280	11	(	(	PUNCT
ejpam-6488	280	12	4.6	4.6	NUM
ejpam-6488	280	13	):	):	PUNCT
ejpam-6488	280	14	w(x	w(x	PROPN
ejpam-6488	280	15	,	,	PUNCT
ejpam-6488	280	16	t	t	PROPN
ejpam-6488	280	17	,	,	PUNCT
ejpam-6488	280	18	ε	ε	PROPN
ejpam-6488	280	19	)	)	PUNCT
ejpam-6488	280	20	=	=	PUNCT
ejpam-6488	281	1	x∫	x∫	NUM
ejpam-6488	281	2	x0	x0	PROPN
ejpam-6488	281	3	y	y	PROPN
ejpam-6488	281	4	(	(	PUNCT
ejpam-6488	281	5	x	x	PROPN
ejpam-6488	281	6	,	,	PUNCT
ejpam-6488	281	7	η	η	PROPN
ejpam-6488	281	8	,	,	PUNCT
ejpam-6488	281	9	ε	ε	PROPN
ejpam-6488	281	10	)	)	PUNCT
ejpam-6488	281	11			PROPN
ejpam-6488	281	12	0	0	NUM
ejpam-6488	281	13	k(η	k(η	PROPN
ejpam-6488	281	14	,	,	PUNCT
ejpam-6488	281	15	t	t	PROPN
ejpam-6488	281	16	,	,	PUNCT
ejpam-6488	281	17	η)z(η	η)z(η	NOUN
ejpam-6488	281	18	,	,	PUNCT
ejpam-6488	281	19	t	t	PROPN
ejpam-6488	281	20	,	,	PUNCT
ejpam-6488	281	21	ε	ε	PROPN
ejpam-6488	281	22	)	)	PUNCT
ejpam-6488	281	23	+	+	CCONJ
ejpam-6488	281	24	η∫	η∫	ADJ
ejpam-6488	281	25	x0	x0	PROPN
ejpam-6488	281	26	∂k(η	∂k(η	PROPN
ejpam-6488	281	27	,	,	PUNCT
ejpam-6488	281	28	t,,s	t,,s	NUM
ejpam-6488	281	29	)	)	PUNCT
ejpam-6488	281	30	∂η	∂η	PROPN
ejpam-6488	281	31	z(s	z(s	PROPN
ejpam-6488	281	32	,	,	PUNCT
ejpam-6488	281	33	t	t	PROPN
ejpam-6488	281	34	,	,	PUNCT
ejpam-6488	281	35	ε)ds	ε)ds	PROPN
ejpam-6488	281	36			PROPN
ejpam-6488	281	37	dη+	dη+	NOUN
ejpam-6488	281	38	+	+	CCONJ
ejpam-6488	281	39	1	1	NUM
ejpam-6488	281	40	ε	ε	PROPN
ejpam-6488	281	41	x∫	x∫	NUM
ejpam-6488	281	42	x0	x0	PROPN
ejpam-6488	281	43	y	y	PROPN
ejpam-6488	281	44	(	(	PUNCT
ejpam-6488	281	45	x	x	PROPN
ejpam-6488	281	46	,	,	PUNCT
ejpam-6488	281	47	η	η	PROPN
ejpam-6488	281	48	,	,	PUNCT
ejpam-6488	281	49	ε	ε	PROPN
ejpam-6488	281	50	)	)	PUNCT
ejpam-6488	281	51	(	(	PUNCT
ejpam-6488	281	52	φ(η	φ(η	PROPN
ejpam-6488	281	53	,	,	PUNCT
ejpam-6488	281	54	t	t	PROPN
ejpam-6488	281	55	,	,	PUNCT
ejpam-6488	281	56	ε	ε	PROPN
ejpam-6488	281	57	)	)	PUNCT
ejpam-6488	281	58	0	0	NUM
ejpam-6488	281	59	)	)	PUNCT
ejpam-6488	281	60	dη	dη	NOUN
ejpam-6488	281	61	.	.	PUNCT
ejpam-6488	282	1	(	(	PUNCT
ejpam-6488	282	2	4.60	4.60	NUM
ejpam-6488	282	3	)	)	PUNCT
ejpam-6488	282	4	since	since	SCONJ
ejpam-6488	282	5	for	for	ADP
ejpam-6488	282	6	each	each	DET
ejpam-6488	282	7	ε	ε	PROPN
ejpam-6488	282	8	>	>	X
ejpam-6488	282	9	0	0	PUNCT
ejpam-6488	282	10	there	there	PRON
ejpam-6488	282	11	exists	exist	VERB
ejpam-6488	282	12	the	the	DET
ejpam-6488	282	13	solution	solution	NOUN
ejpam-6488	282	14	w(x	w(x	PROPN
ejpam-6488	282	15	,	,	PUNCT
ejpam-6488	282	16	t	t	PROPN
ejpam-6488	282	17	,	,	PUNCT
ejpam-6488	282	18	ε	ε	PROPN
ejpam-6488	282	19	)	)	PUNCT
ejpam-6488	282	20	of	of	ADP
ejpam-6488	282	21	the	the	DET
ejpam-6488	282	22	system	system	NOUN
ejpam-6488	282	23	(	(	PUNCT
ejpam-6488	282	24	4.6	4.6	NUM
ejpam-6488	282	25	)	)	PUNCT
ejpam-6488	282	26	in	in	ADP
ejpam-6488	282	27	the	the	DET
ejpam-6488	282	28	space	space	NOUN
ejpam-6488	282	29	c1	c1	NOUN
ejpam-6488	282	30	[	[	X
ejpam-6488	282	31	x0	x0	PROPN
ejpam-6488	282	32	,	,	PUNCT
ejpam-6488	282	33	x	x	X
ejpam-6488	282	34	]	]	X
ejpam-6488	282	35	×	×	NOUN
ejpam-6488	283	1	[	[	X
ejpam-6488	283	2	0	0	NUM
ejpam-6488	283	3	,	,	PUNCT
ejpam-6488	283	4	t	t	NOUN
ejpam-6488	283	5	]	]	PUNCT
ejpam-6488	283	6	then	then	ADV
ejpam-6488	283	7	substituting	substitute	VERB
ejpam-6488	283	8	it	it	PRON
ejpam-6488	283	9	into	into	ADP
ejpam-6488	283	10	(	(	PUNCT
ejpam-6488	283	11	4.60	4.60	NUM
ejpam-6488	283	12	)	)	PUNCT
ejpam-6488	283	13	,	,	PUNCT
ejpam-6488	283	14	we	we	PRON
ejpam-6488	283	15	obtain	obtain	VERB
ejpam-6488	283	16	the	the	DET
ejpam-6488	283	17	identity	identity	NOUN
ejpam-6488	283	18	.	.	PUNCT
ejpam-6488	284	1	let	let	VERB
ejpam-6488	284	2	’s	’s	PRON
ejpam-6488	284	3	move	move	VERB
ejpam-6488	284	4	on	on	ADP
ejpam-6488	284	5	to	to	ADP
ejpam-6488	284	6	the	the	DET
ejpam-6488	284	7	norms	norm	NOUN
ejpam-6488	284	8	:	:	PUNCT
ejpam-6488	284	9	||w(x	||w(x	ADJ
ejpam-6488	284	10	,	,	PUNCT
ejpam-6488	284	11	t	t	PROPN
ejpam-6488	284	12	,	,	PUNCT
ejpam-6488	284	13	ε)||	ε)||	ADJ
ejpam-6488	284	14	≤	≤	NOUN
ejpam-6488	284	15	x∫	x∫	CCONJ
ejpam-6488	284	16	x0	x0	PROPN
ejpam-6488	284	17	||y	||y	PROPN
ejpam-6488	284	18	(	(	PUNCT
ejpam-6488	284	19	x	x	NOUN
ejpam-6488	284	20	,	,	PUNCT
ejpam-6488	284	21	ζ	ζ	NOUN
ejpam-6488	284	22	,	,	PUNCT
ejpam-6488	284	23	ε)||	ε)||	NOUN
ejpam-6488	284	24	·	·	SYM
ejpam-6488	284	25	||k(ζ	||k(ζ	ADJ
ejpam-6488	284	26	,	,	PUNCT
ejpam-6488	284	27	ζ)||	ζ)||	NOUN
ejpam-6488	284	28	·	·	PUNCT
ejpam-6488	284	29	||z(ζ	||z(ζ	PROPN
ejpam-6488	284	30	,	,	PUNCT
ejpam-6488	284	31	ε)||dζ	ε)||dζ	NOUN
ejpam-6488	284	32	+	+	CCONJ
ejpam-6488	285	1	x∫	x∫	ADJ
ejpam-6488	285	2	x0	x0	PROPN
ejpam-6488	285	3	||y	||y	PROPN
ejpam-6488	285	4	(	(	PUNCT
ejpam-6488	285	5	x	x	NOUN
ejpam-6488	285	6	,	,	PUNCT
ejpam-6488	285	7	ζ	ζ	NOUN
ejpam-6488	285	8	,	,	PUNCT
ejpam-6488	285	9	ε)||×	ε)||×	PROPN
ejpam-6488	285	10	×	×	NOUN
ejpam-6488	285	11	ζ∫	ζ∫	NOUN
ejpam-6488	285	12	x0	x0	PROPN
ejpam-6488	285	13	||∂k(ζ	||∂k(ζ	PROPN
ejpam-6488	285	14	,	,	PUNCT
ejpam-6488	285	15	s	s	NOUN
ejpam-6488	285	16	)	)	PUNCT
ejpam-6488	285	17	∂x	∂x	PROPN
ejpam-6488	285	18	||	||	NOUN
ejpam-6488	285	19	·	·	PUNCT
ejpam-6488	285	20	||z(s	||z(s	NOUN
ejpam-6488	285	21	,	,	PUNCT
ejpam-6488	285	22	ε)||dsdζ	ε)||dsdζ	PROPN
ejpam-6488	285	23	+	+	CCONJ
ejpam-6488	285	24	1	1	NUM
ejpam-6488	285	25	ε	ε	PROPN
ejpam-6488	285	26	x∫	x∫	NUM
ejpam-6488	285	27	x0	x0	PROPN
ejpam-6488	285	28	||y	||y	PROPN
ejpam-6488	285	29	(	(	PUNCT
ejpam-6488	285	30	x	x	NOUN
ejpam-6488	285	31	,	,	PUNCT
ejpam-6488	285	32	ζ	ζ	NOUN
ejpam-6488	285	33	,	,	PUNCT
ejpam-6488	285	34	ε)||	ε)||	NOUN
ejpam-6488	285	35	·	·	PUNCT
ejpam-6488	285	36	||φ(ζ	||φ(ζ	NOUN
ejpam-6488	285	37	,	,	PUNCT
ejpam-6488	285	38	ε)||dζ	ε)||dζ	NOUN
ejpam-6488	285	39	≤	≤	ADJ
ejpam-6488	285	40	m.	m.	NOUN
ejpam-6488	285	41	begaidarov	begaidarov	PROPN
ejpam-6488	285	42	,	,	PUNCT
ejpam-6488	285	43	d.	d.	PROPN
ejpam-6488	285	44	bibulova	bibulova	PROPN
ejpam-6488	285	45	,	,	PUNCT
ejpam-6488	285	46	b.	b.	PROPN
ejpam-6488	285	47	kalimbetov	kalimbetov	PROPN
ejpam-6488	285	48	/	/	SYM
ejpam-6488	285	49	eur	eur	PROPN
ejpam-6488	285	50	.	.	PUNCT
ejpam-6488	286	1	j.	j.	PROPN
ejpam-6488	286	2	pure	pure	PROPN
ejpam-6488	286	3	appl	appl	PROPN
ejpam-6488	286	4	.	.	PROPN
ejpam-6488	286	5	math	math	PROPN
ejpam-6488	286	6	,	,	PUNCT
ejpam-6488	286	7	18	18	NUM
ejpam-6488	286	8	(	(	PUNCT
ejpam-6488	286	9	4	4	NUM
ejpam-6488	286	10	)	)	PUNCT
ejpam-6488	286	11	(	(	PUNCT
ejpam-6488	286	12	2025	2025	NUM
ejpam-6488	286	13	)	)	PUNCT
ejpam-6488	286	14	,	,	PUNCT
ejpam-6488	286	15	6488	6488	NUM
ejpam-6488	286	16	13	13	NUM
ejpam-6488	286	17	of	of	ADP
ejpam-6488	286	18	20	20	NUM
ejpam-6488	286	19	≤	≤	NOUN
ejpam-6488	286	20	c0k0	c0k0	PUNCT
ejpam-6488	287	1	x∫	x∫	PROPN
ejpam-6488	287	2	x0	x0	PROPN
ejpam-6488	287	3	||w(ζ	||w(ζ	PROPN
ejpam-6488	287	4	,	,	PUNCT
ejpam-6488	287	5	ε)||dζ	ε)||dζ	NOUN
ejpam-6488	287	6	+	+	PRON
ejpam-6488	287	7	c0k1	c0k1	PROPN
ejpam-6488	288	1	x∫	x∫	ADJ
ejpam-6488	288	2	x0	x0	PROPN
ejpam-6488	288	3	ζ∫	ζ∫	NOUN
ejpam-6488	288	4	x0	x0	NUM
ejpam-6488	288	5	||w(s	||w(s	NOUN
ejpam-6488	288	6	,	,	PUNCT
ejpam-6488	288	7	ε)||dsdζ+	ε)||dsdζ+	PROPN
ejpam-6488	289	1	+	+	CCONJ
ejpam-6488	289	2	x0	x0	PROPN
ejpam-6488	289	3	ε	ε	PROPN
ejpam-6488	289	4	c0||φ(x	c0||φ(x	PROPN
ejpam-6488	289	5	,	,	PUNCT
ejpam-6488	289	6	ε)||c[x0,x]×[0,t	ε)||c[x0,x]×[0,t	VERB
ejpam-6488	289	7	]	]	PUNCT
ejpam-6488	289	8	≤	≤	NUM
ejpam-6488	290	1	c0k0	c0k0	NOUN
ejpam-6488	290	2	x∫	x∫	ADJ
ejpam-6488	290	3	x0	x0	PROPN
ejpam-6488	290	4	||w(s	||w(s	NOUN
ejpam-6488	290	5	,	,	PUNCT
ejpam-6488	290	6	ε)||ds+	ε)||ds+	PROPN
ejpam-6488	290	7	+	+	NUM
ejpam-6488	290	8	c0k1	c0k1	PROPN
ejpam-6488	290	9	x∫	x∫	SYM
ejpam-6488	290	10	x0	x0	PROPN
ejpam-6488	291	1	x∫	x∫	ADJ
ejpam-6488	291	2	x0	x0	PROPN
ejpam-6488	291	3	||w(s	||w(s	NOUN
ejpam-6488	291	4	,	,	PUNCT
ejpam-6488	291	5	ε)||dsdζ	ε)||dsdζ	PROPN
ejpam-6488	291	6	+	+	CCONJ
ejpam-6488	291	7	c0x0	c0x0	NOUN
ejpam-6488	291	8	ε	ε	PROPN
ejpam-6488	291	9	||φ(x	||φ(x	NOUN
ejpam-6488	291	10	,	,	PUNCT
ejpam-6488	291	11	ε)||c[x0,x]×[0,t	ε)||c[x0,x]×[0,t	VERB
ejpam-6488	291	12	]	]	PUNCT
ejpam-6488	291	13	≤	≤	ADJ
ejpam-6488	291	14	≤	≤	NUM
ejpam-6488	292	1	c0k0	c0k0	PUNCT
ejpam-6488	292	2	x∫	x∫	ADJ
ejpam-6488	292	3	x0	x0	PROPN
ejpam-6488	292	4	||w(s	||w(s	NOUN
ejpam-6488	292	5	,	,	PUNCT
ejpam-6488	292	6	ε)||ds+	ε)||ds+	PROPN
ejpam-6488	292	7	c0k1	c0k1	PROPN
ejpam-6488	292	8	x∫	x∫	PROPN
ejpam-6488	292	9	x0	x0	PROPN
ejpam-6488	293	1	x∫	x∫	ADJ
ejpam-6488	293	2	x0	x0	NUM
ejpam-6488	293	3	||w(s	||w(s	NOUN
ejpam-6488	293	4	,	,	PUNCT
ejpam-6488	293	5	ε)||dsdζ+	ε)||dsdζ+	PROPN
ejpam-6488	293	6	+	+	CCONJ
ejpam-6488	293	7	c0x0	c0x0	NOUN
ejpam-6488	293	8	ε	ε	PROPN
ejpam-6488	293	9	||φ(x	||φ(x	NOUN
ejpam-6488	293	10	,	,	PUNCT
ejpam-6488	293	11	ε)||c[x0,x]×[0,t	ε)||c[x0,x]×[0,t	VERB
ejpam-6488	293	12	]	]	PUNCT
ejpam-6488	293	13	≤	≤	X
ejpam-6488	293	14	(	(	PUNCT
ejpam-6488	293	15	c0k0	c0k0	NOUN
ejpam-6488	293	16	+	+	CCONJ
ejpam-6488	293	17	c0k1x0	c0k1x0	NOUN
ejpam-6488	293	18	)	)	PUNCT
ejpam-6488	293	19	x∫	x∫	ADJ
ejpam-6488	293	20	x0	x0	PROPN
ejpam-6488	293	21	||w(s	||w(s	NOUN
ejpam-6488	293	22	,	,	PUNCT
ejpam-6488	293	23	ε)||ds+	ε)||ds+	PROPN
ejpam-6488	293	24	+	+	CCONJ
ejpam-6488	293	25	c0x0	c0x0	NOUN
ejpam-6488	293	26	ε	ε	PROPN
ejpam-6488	293	27	||φ(x	||φ(x	NOUN
ejpam-6488	293	28	,	,	PUNCT
ejpam-6488	293	29	ε)||c[x0,x]×[0,t	ε)||c[x0,x]×[0,t	NOUN
ejpam-6488	293	30	]	]	PUNCT
ejpam-6488	293	31	where	where	SCONJ
ejpam-6488	293	32	x0	x0	PROPN
ejpam-6488	293	33	=	=	PUNCT
ejpam-6488	294	1	x	x	PUNCT
ejpam-6488	294	2	−	−	NOUN
ejpam-6488	294	3	x0	x0	PROPN
ejpam-6488	294	4	,	,	PUNCT
ejpam-6488	294	5	||k(x	||k(x	PROPN
ejpam-6488	294	6	,	,	PUNCT
ejpam-6488	294	7	t	t	PROPN
ejpam-6488	294	8	,	,	PUNCT
ejpam-6488	294	9	s)||c[x0,x]×[0,t	s)||c[x0,x]×[0,t	ADJ
ejpam-6488	294	10	]	]	X
ejpam-6488	294	11	=	=	SYM
ejpam-6488	294	12	k0	k0	PROPN
ejpam-6488	294	13	,	,	PUNCT
ejpam-6488	294	14	||∂k(x	||∂k(x	PROPN
ejpam-6488	294	15	,	,	PUNCT
ejpam-6488	294	16	t	t	PROPN
ejpam-6488	294	17	,	,	PUNCT
ejpam-6488	294	18	s	s	PART
ejpam-6488	294	19	)	)	PUNCT
ejpam-6488	294	20	∂x	∂x	PROPN
ejpam-6488	294	21	||c[x0,x]×[0,t	||c[x0,x]×[0,t	NOUN
ejpam-6488	294	22	]	]	X
ejpam-6488	295	1	=	=	SYM
ejpam-6488	295	2	k1	k1	NOUN
ejpam-6488	295	3	.	.	PUNCT
ejpam-6488	296	1	we	we	PRON
ejpam-6488	296	2	got	get	VERB
ejpam-6488	296	3	the	the	DET
ejpam-6488	296	4	inequality	inequality	NOUN
ejpam-6488	296	5	||w(x	||w(x	ADJ
ejpam-6488	296	6	,	,	PUNCT
ejpam-6488	296	7	t	t	PROPN
ejpam-6488	296	8	,	,	PUNCT
ejpam-6488	296	9	ε)||	ε)||	ADJ
ejpam-6488	296	10	≤	≤	NUM
ejpam-6488	296	11	c0x0	c0x0	NOUN
ejpam-6488	296	12	ε	ε	PROPN
ejpam-6488	296	13	||φ(x	||φ(x	PROPN
ejpam-6488	296	14	,	,	PUNCT
ejpam-6488	296	15	t	t	PROPN
ejpam-6488	296	16	,	,	PUNCT
ejpam-6488	296	17	ε)||c[x0,x]×[0,t	ε)||c[x0,x]×[0,t	VERB
ejpam-6488	296	18	]	]	PUNCT
ejpam-6488	297	1	+	+	CCONJ
ejpam-6488	297	2	(	(	PUNCT
ejpam-6488	297	3	c0k0	c0k0	NOUN
ejpam-6488	297	4	+	+	CCONJ
ejpam-6488	297	5	c0k1x0	c0k1x0	NOUN
ejpam-6488	297	6	)	)	PUNCT
ejpam-6488	297	7	x∫	x∫	ADJ
ejpam-6488	297	8	x0	x0	PROPN
ejpam-6488	297	9	||w(s	||w(s	NOUN
ejpam-6488	297	10	,	,	PUNCT
ejpam-6488	297	11	ε)||ds	ε)||ds	NOUN
ejpam-6488	297	12	.	.	PUNCT
ejpam-6488	298	1	applying	apply	VERB
ejpam-6488	298	2	the	the	DET
ejpam-6488	298	3	gronwall	gronwall	ADJ
ejpam-6488	298	4	-	-	PUNCT
ejpam-6488	298	5	bellman	bellman	NOUN
ejpam-6488	298	6	lemma	lemma	PROPN
ejpam-6488	298	7	to	to	ADP
ejpam-6488	298	8	this	this	DET
ejpam-6488	298	9	inequality	inequality	NOUN
ejpam-6488	298	10	[	[	X
ejpam-6488	298	11	35	35	NUM
ejpam-6488	298	12	]	]	PUNCT
ejpam-6488	298	13	,	,	PUNCT
ejpam-6488	298	14	we	we	PRON
ejpam-6488	298	15	have	have	VERB
ejpam-6488	298	16	∥w(x	∥w(x	PROPN
ejpam-6488	298	17	,	,	PUNCT
ejpam-6488	298	18	t	t	PROPN
ejpam-6488	298	19	,	,	PUNCT
ejpam-6488	298	20	ε)∥	ε)∥	ADJ
ejpam-6488	298	21	≤	≤	NUM
ejpam-6488	298	22	c0x0	c0x0	NOUN
ejpam-6488	298	23	ε	ε	PROPN
ejpam-6488	298	24	∥φ(x	∥φ(x	PROPN
ejpam-6488	298	25	,	,	PUNCT
ejpam-6488	298	26	t	t	PROPN
ejpam-6488	298	27	,	,	PUNCT
ejpam-6488	298	28	ε)∥c[x0,x]×[0,t	ε)∥c[x0,x]×[0,t	NOUN
ejpam-6488	298	29	]	]	X
ejpam-6488	298	30	e	e	X
ejpam-6488	298	31	(	(	PUNCT
ejpam-6488	298	32	c0k0+c0k1x0	c0k0+c0k1x0	PROPN
ejpam-6488	298	33	)	)	PUNCT
ejpam-6488	299	1	x∫	x∫	ADJ
ejpam-6488	299	2	x0	x0	PROPN
ejpam-6488	299	3	ds	ds	ADJ
ejpam-6488	299	4	=	=	SYM
ejpam-6488	299	5	=	=	PUNCT
ejpam-6488	299	6	c0x0	c0x0	NOUN
ejpam-6488	299	7	ε	ε	PROPN
ejpam-6488	299	8	∥φ(x	∥φ(x	PROPN
ejpam-6488	299	9	,	,	PUNCT
ejpam-6488	299	10	t	t	PROPN
ejpam-6488	299	11	,	,	PUNCT
ejpam-6488	299	12	ε)∥c[[x0,x]×[0,t	ε)∥c[[x0,x]×[0,t	NOUN
ejpam-6488	299	13	]	]	X
ejpam-6488	299	14	e	e	X
ejpam-6488	299	15	(	(	PUNCT
ejpam-6488	299	16	c0k0+c0k1x0)(x−x0	c0k0+c0k1x0)(x−x0	NOUN
ejpam-6488	299	17	)	)	PUNCT
ejpam-6488	299	18	≤	≤	NOUN
ejpam-6488	299	19	≤	≤	NUM
ejpam-6488	299	20	ν0	ν0	PROPN
ejpam-6488	299	21	ε	ε	PROPN
ejpam-6488	299	22	∥φ(x	∥φ(x	PROPN
ejpam-6488	299	23	,	,	PUNCT
ejpam-6488	299	24	t	t	PROPN
ejpam-6488	299	25	,	,	PUNCT
ejpam-6488	299	26	ε)∥c[x0,x]×[0,t	ε)∥c[x0,x]×[0,t	PROPN
ejpam-6488	299	27	]	]	PUNCT
ejpam-6488	299	28	⇒	⇒	PROPN
ejpam-6488	299	29	⇒	⇒	PROPN
ejpam-6488	299	30	∥z(x	∥z(x	PROPN
ejpam-6488	299	31	,	,	PUNCT
ejpam-6488	299	32	t	t	PROPN
ejpam-6488	299	33	,	,	PUNCT
ejpam-6488	299	34	ε)∥c[x0,x]×[0,t	ε)∥c[x0,x]×[0,t	NOUN
ejpam-6488	299	35	]	]	PUNCT
ejpam-6488	299	36	≤	≤	NUM
ejpam-6488	299	37	ν0	ν0	PROPN
ejpam-6488	299	38	ε	ε	PROPN
ejpam-6488	299	39	∥φ(x	∥φ(x	PROPN
ejpam-6488	299	40	,	,	PUNCT
ejpam-6488	299	41	t	t	PROPN
ejpam-6488	299	42	,	,	PUNCT
ejpam-6488	299	43	ε)∥c[x0,x]×[0,t	ε)∥c[x0,x]×[0,t	PROPN
ejpam-6488	299	44	]	]	PUNCT
ejpam-6488	299	45	where	where	SCONJ
ejpam-6488	299	46	ν0	ν0	PROPN
ejpam-6488	299	47	=	=	SYM
ejpam-6488	299	48	c0x0	c0x0	NOUN
ejpam-6488	299	49	·	·	SYM
ejpam-6488	299	50	max	max	PROPN
ejpam-6488	299	51	t∈[x0,x]×[0,t	t∈[x0,x]×[0,t	NOUN
ejpam-6488	299	52	]	]	PUNCT
ejpam-6488	299	53	e(c0k0+c0k1x0)(x−x0	e(c0k0+c0k1x0)(x−x0	NOUN
ejpam-6488	299	54	)	)	PUNCT
ejpam-6488	299	55	.	.	PUNCT
ejpam-6488	300	1	the	the	DET
ejpam-6488	300	2	theorem	theorem	NOUN
ejpam-6488	300	3	4	4	NUM
ejpam-6488	300	4	is	be	AUX
ejpam-6488	300	5	proved	prove	VERB
ejpam-6488	300	6	.	.	PUNCT
ejpam-6488	301	1	m.	m.	NOUN
ejpam-6488	301	2	begaidarov	begaidarov	PROPN
ejpam-6488	301	3	,	,	PUNCT
ejpam-6488	301	4	d.	d.	PROPN
ejpam-6488	301	5	bibulova	bibulova	PROPN
ejpam-6488	301	6	,	,	PUNCT
ejpam-6488	301	7	b.	b.	PROPN
ejpam-6488	301	8	kalimbetov	kalimbetov	PROPN
ejpam-6488	301	9	/	/	SYM
ejpam-6488	301	10	eur	eur	PROPN
ejpam-6488	301	11	.	.	PUNCT
ejpam-6488	302	1	j.	j.	PROPN
ejpam-6488	302	2	pure	pure	PROPN
ejpam-6488	302	3	appl	appl	PROPN
ejpam-6488	302	4	.	.	PROPN
ejpam-6488	302	5	math	math	PROPN
ejpam-6488	302	6	,	,	PUNCT
ejpam-6488	302	7	18	18	NUM
ejpam-6488	302	8	(	(	PUNCT
ejpam-6488	302	9	4	4	NUM
ejpam-6488	302	10	)	)	PUNCT
ejpam-6488	302	11	(	(	PUNCT
ejpam-6488	302	12	2025	2025	NUM
ejpam-6488	302	13	)	)	PUNCT
ejpam-6488	302	14	,	,	PUNCT
ejpam-6488	302	15	6488	6488	NUM
ejpam-6488	302	16	14	14	NUM
ejpam-6488	302	17	of	of	ADP
ejpam-6488	302	18	20	20	NUM
ejpam-6488	302	19	theorem	theorem	NOUN
ejpam-6488	302	20	5	5	NUM
ejpam-6488	302	21	.	.	PUNCT
ejpam-6488	303	1	let	let	VERB
ejpam-6488	303	2	conditions	condition	NOUN
ejpam-6488	303	3	(	(	PUNCT
ejpam-6488	303	4	i)–(iii	i)–(iii	NOUN
ejpam-6488	303	5	)	)	PUNCT
ejpam-6488	303	6	be	be	VERB
ejpam-6488	303	7	satisfied	satisfied	ADJ
ejpam-6488	303	8	.	.	PUNCT
ejpam-6488	304	1	then	then	ADV
ejpam-6488	304	2	for	for	ADP
ejpam-6488	304	3	any	any	DET
ejpam-6488	304	4	ε	ε	PROPN
ejpam-6488	304	5	∈	∈	PROPN
ejpam-6488	304	6	(	(	PUNCT
ejpam-6488	304	7	0	0	NUM
ejpam-6488	304	8	,	,	PUNCT
ejpam-6488	304	9	ε0	ε0	PROPN
ejpam-6488	304	10	]	]	PUNCT
ejpam-6488	304	11	,	,	PUNCT
ejpam-6488	304	12	where	where	SCONJ
ejpam-6488	304	13	ε0	ε0	PROPN
ejpam-6488	304	14	>	>	X
ejpam-6488	304	15	0	0	PUNCT
ejpam-6488	304	16	is	be	AUX
ejpam-6488	304	17	small	small	ADJ
ejpam-6488	304	18	enough	enough	ADV
ejpam-6488	304	19	,	,	PUNCT
ejpam-6488	304	20	the	the	DET
ejpam-6488	304	21	problem	problem	NOUN
ejpam-6488	304	22	(	(	PUNCT
ejpam-6488	304	23	1.1	1.1	NUM
ejpam-6488	304	24	)	)	PUNCT
ejpam-6488	304	25	has	have	VERB
ejpam-6488	304	26	a	a	DET
ejpam-6488	304	27	unique	unique	ADJ
ejpam-6488	304	28	solution	solution	NOUN
ejpam-6488	304	29	y(x	y(x	PROPN
ejpam-6488	304	30	,	,	PUNCT
ejpam-6488	304	31	t	t	PROPN
ejpam-6488	304	32	,	,	PUNCT
ejpam-6488	304	33	ε	ε	PROPN
ejpam-6488	304	34	)	)	PUNCT
ejpam-6488	304	35	∈	∈	PROPN
ejpam-6488	304	36	c1	c1	NOUN
ejpam-6488	305	1	[	[	X
ejpam-6488	305	2	x0	x0	PROPN
ejpam-6488	305	3	,	,	PUNCT
ejpam-6488	305	4	x	x	X
ejpam-6488	305	5	]	]	X
ejpam-6488	305	6	×	×	NOUN
ejpam-6488	305	7	[	[	X
ejpam-6488	305	8	0	0	NUM
ejpam-6488	305	9	,	,	PUNCT
ejpam-6488	305	10	t	t	X
ejpam-6488	305	11	]	]	PUNCT
ejpam-6488	305	12	;	;	PUNCT
ejpam-6488	305	13	in	in	ADP
ejpam-6488	305	14	this	this	DET
ejpam-6488	305	15	case	case	NOUN
ejpam-6488	305	16	,	,	PUNCT
ejpam-6488	305	17	the	the	DET
ejpam-6488	305	18	estimate	estimate	NOUN
ejpam-6488	305	19	∥y(x	∥y(x	PROPN
ejpam-6488	305	20	,	,	PUNCT
ejpam-6488	305	21	t	t	PROPN
ejpam-6488	305	22	,	,	PUNCT
ejpam-6488	305	23	ε)−	ε)−	PROPN
ejpam-6488	305	24	uεn	uεn	NOUN
ejpam-6488	305	25	(	(	PUNCT
ejpam-6488	305	26	x	x	NOUN
ejpam-6488	305	27	,	,	PUNCT
ejpam-6488	305	28	t)∥c[x0,x]×[0,t	t)∥c[x0,x]×[0,t	NOUN
ejpam-6488	305	29	]	]	PUNCT
ejpam-6488	305	30	≤	≤	NUM
ejpam-6488	305	31	cnε	cnε	NOUN
ejpam-6488	305	32	n+1(n	n+1(n	PROPN
ejpam-6488	305	33	=	=	SYM
ejpam-6488	305	34	0	0	NUM
ejpam-6488	305	35	,	,	PUNCT
ejpam-6488	305	36	1	1	NUM
ejpam-6488	305	37	,	,	PUNCT
ejpam-6488	305	38	2	2	NUM
ejpam-6488	305	39	.	.	PUNCT
ejpam-6488	305	40	.	.	PUNCT
ejpam-6488	305	41	.	.	PUNCT
ejpam-6488	305	42	)	)	PUNCT
ejpam-6488	305	43	holds	hold	VERB
ejpam-6488	305	44	true	true	ADJ
ejpam-6488	305	45	,	,	PUNCT
ejpam-6488	305	46	where	where	SCONJ
ejpam-6488	305	47	the	the	DET
ejpam-6488	305	48	constant	constant	ADJ
ejpam-6488	305	49	cn	cn	PROPN
ejpam-6488	305	50	>	>	X
ejpam-6488	305	51	0	0	NUM
ejpam-6488	305	52	does	do	AUX
ejpam-6488	305	53	not	not	PART
ejpam-6488	305	54	depend	depend	VERB
ejpam-6488	305	55	on	on	ADP
ejpam-6488	305	56	ε	ε	PROPN
ejpam-6488	305	57	∈	∈	PROPN
ejpam-6488	305	58	(	(	PUNCT
ejpam-6488	305	59	0	0	NUM
ejpam-6488	305	60	,	,	PUNCT
ejpam-6488	305	61	ε0	ε0	PROPN
ejpam-6488	305	62	]	]	PUNCT
ejpam-6488	305	63	.	.	PUNCT
ejpam-6488	306	1	proof	proof	NOUN
ejpam-6488	306	2	.	.	PUNCT
ejpam-6488	307	1	by	by	ADP
ejpam-6488	307	2	the	the	DET
ejpam-6488	307	3	lemma	lemma	PROPN
ejpam-6488	307	4	1	1	NUM
ejpam-6488	307	5	,	,	PUNCT
ejpam-6488	307	6	the	the	DET
ejpam-6488	307	7	partial	partial	ADJ
ejpam-6488	307	8	sum	sum	NOUN
ejpam-6488	307	9	uεn	uεn	NOUN
ejpam-6488	307	10	(	(	PUNCT
ejpam-6488	307	11	x	x	NOUN
ejpam-6488	307	12	,	,	PUNCT
ejpam-6488	307	13	t	t	PROPN
ejpam-6488	307	14	)	)	PUNCT
ejpam-6488	307	15	satisfies	satisfy	VERB
ejpam-6488	307	16	the	the	DET
ejpam-6488	307	17	problem	problem	NOUN
ejpam-6488	307	18	(	(	PUNCT
ejpam-6488	307	19	4.3	4.3	NUM
ejpam-6488	307	20	)	)	PUNCT
ejpam-6488	307	21	,	,	PUNCT
ejpam-6488	307	22	so	so	CCONJ
ejpam-6488	307	23	the	the	DET
ejpam-6488	307	24	remainder	remainder	PROPN
ejpam-6488	307	25	rn	rn	PROPN
ejpam-6488	307	26	(	(	PUNCT
ejpam-6488	307	27	x	x	PROPN
ejpam-6488	307	28	,	,	PUNCT
ejpam-6488	307	29	t	t	PROPN
ejpam-6488	307	30	,	,	PUNCT
ejpam-6488	307	31	ε	ε	PROPN
ejpam-6488	307	32	)	)	PUNCT
ejpam-6488	307	33	≡	≡	PROPN
ejpam-6488	307	34	y(x	y(x	PROPN
ejpam-6488	307	35	,	,	PUNCT
ejpam-6488	307	36	t	t	PROPN
ejpam-6488	307	37	,	,	PUNCT
ejpam-6488	307	38	ε)−	ε)−	PROPN
ejpam-6488	307	39	uεn	uεn	NOUN
ejpam-6488	307	40	(	(	PUNCT
ejpam-6488	307	41	x	x	NOUN
ejpam-6488	307	42	,	,	PUNCT
ejpam-6488	307	43	t	t	PROPN
ejpam-6488	307	44	)	)	PUNCT
ejpam-6488	307	45	satisfies	satisfy	VERB
ejpam-6488	307	46	the	the	DET
ejpam-6488	307	47	following	follow	VERB
ejpam-6488	307	48	problem	problem	NOUN
ejpam-6488	307	49	:	:	PUNCT
ejpam-6488	308	1	ε	ε	PROPN
ejpam-6488	308	2	∂rn	∂rn	PROPN
ejpam-6488	308	3	(	(	PUNCT
ejpam-6488	308	4	x	x	X
ejpam-6488	308	5	,	,	PUNCT
ejpam-6488	308	6	t	t	PROPN
ejpam-6488	308	7	,	,	PUNCT
ejpam-6488	308	8	ε	ε	PROPN
ejpam-6488	308	9	)	)	PUNCT
ejpam-6488	308	10	∂x	∂x	PROPN
ejpam-6488	308	11	=	=	SYM
ejpam-6488	308	12	a(x)rn	a(x)rn	NOUN
ejpam-6488	308	13	(	(	PUNCT
ejpam-6488	308	14	x	x	X
ejpam-6488	308	15	,	,	PUNCT
ejpam-6488	308	16	t	t	PROPN
ejpam-6488	308	17	,	,	PUNCT
ejpam-6488	308	18	ε	ε	PROPN
ejpam-6488	308	19	)	)	PUNCT
ejpam-6488	309	1	+	+	CCONJ
ejpam-6488	309	2	x∫	x∫	PROPN
ejpam-6488	309	3	x0	x0	PROPN
ejpam-6488	309	4	k(x	k(x	PROPN
ejpam-6488	309	5	,	,	PUNCT
ejpam-6488	309	6	t	t	PROPN
ejpam-6488	309	7	,	,	PUNCT
ejpam-6488	309	8	s)rn	s)rn	PROPN
ejpam-6488	309	9	(	(	PUNCT
ejpam-6488	309	10	s	s	PROPN
ejpam-6488	309	11	,	,	PUNCT
ejpam-6488	309	12	t	t	PROPN
ejpam-6488	309	13	,	,	PUNCT
ejpam-6488	309	14	ε)ds+	ε)ds+	PUNCT
ejpam-6488	309	15	+	+	VERB
ejpam-6488	309	16	εn+1rn	εn+1rn	ADV
ejpam-6488	309	17	(	(	PUNCT
ejpam-6488	309	18	x	x	X
ejpam-6488	309	19	,	,	PUNCT
ejpam-6488	309	20	t	t	PROPN
ejpam-6488	309	21	,	,	PUNCT
ejpam-6488	309	22	ε	ε	PROPN
ejpam-6488	309	23	)	)	PUNCT
ejpam-6488	309	24	,	,	PUNCT
ejpam-6488	309	25	rn	rn	PROPN
ejpam-6488	309	26	(	(	PUNCT
ejpam-6488	309	27	x0	x0	PROPN
ejpam-6488	309	28	,	,	PUNCT
ejpam-6488	309	29	t	t	PROPN
ejpam-6488	309	30	,	,	PUNCT
ejpam-6488	309	31	ε	ε	PROPN
ejpam-6488	309	32	)	)	PUNCT
ejpam-6488	310	1	=	=	SYM
ejpam-6488	310	2	0	0	NUM
ejpam-6488	310	3	where	where	SCONJ
ejpam-6488	310	4	φ(x	φ(x	PROPN
ejpam-6488	310	5	,	,	PUNCT
ejpam-6488	310	6	t	t	PROPN
ejpam-6488	310	7	,	,	PUNCT
ejpam-6488	310	8	ε	ε	PROPN
ejpam-6488	310	9	)	)	PUNCT
ejpam-6488	310	10	=	=	SYM
ejpam-6488	310	11	−εn+1	−εn+1	PROPN
ejpam-6488	311	1	x∫	x∫	CCONJ
ejpam-6488	311	2	x0	x0	PROPN
ejpam-6488	311	3	rn	rn	PROPN
ejpam-6488	311	4	(	(	PUNCT
ejpam-6488	311	5	s	s	PROPN
ejpam-6488	311	6	,	,	PUNCT
ejpam-6488	311	7	t	t	PROPN
ejpam-6488	311	8	,	,	PUNCT
ejpam-6488	311	9	ε)ds	ε)ds	PROPN
ejpam-6488	311	10	.	.	PROPN
ejpam-6488	311	11	by	by	ADP
ejpam-6488	311	12	theorem	theorem	NOUN
ejpam-6488	311	13	4	4	NUM
ejpam-6488	311	14	,	,	PUNCT
ejpam-6488	311	15	we	we	PRON
ejpam-6488	311	16	have	have	VERB
ejpam-6488	311	17	the	the	DET
ejpam-6488	311	18	estimate	estimate	NOUN
ejpam-6488	311	19	∥rn	∥rn	PROPN
ejpam-6488	311	20	(	(	PUNCT
ejpam-6488	311	21	x	x	X
ejpam-6488	311	22	,	,	PUNCT
ejpam-6488	311	23	t	t	PROPN
ejpam-6488	311	24	,	,	PUNCT
ejpam-6488	311	25	ε)∥c[x0,x]×[0,t	ε)∥c[x0,x]×[0,t	PROPN
ejpam-6488	311	26	]	]	PUNCT
ejpam-6488	311	27	≤	≤	X
ejpam-6488	311	28	εn	εn	ADP
ejpam-6488	311	29	r̄n	r̄n	NOUN
ejpam-6488	311	30	for	for	ADP
ejpam-6488	311	31	all	all	DET
ejpam-6488	311	32	n	n	NOUN
ejpam-6488	311	33	=	=	SYM
ejpam-6488	311	34	0	0	NUM
ejpam-6488	311	35	,	,	PUNCT
ejpam-6488	311	36	1	1	NUM
ejpam-6488	311	37	,	,	PUNCT
ejpam-6488	311	38	2	2	NUM
ejpam-6488	311	39	,	,	PUNCT
ejpam-6488	311	40	.	.	PUNCT
ejpam-6488	311	41	.	.	PUNCT
ejpam-6488	312	1	.	.	PUNCT
ejpam-6488	313	1	and	and	CCONJ
ejpam-6488	313	2	all	all	DET
ejpam-6488	313	3	ε	ε	PROPN
ejpam-6488	313	4	∈	∈	PROPN
ejpam-6488	313	5	(	(	PUNCT
ejpam-6488	313	6	0	0	NUM
ejpam-6488	313	7	,	,	PUNCT
ejpam-6488	313	8	εn	εn	VERB
ejpam-6488	313	9	]	]	PUNCT
ejpam-6488	313	10	,	,	PUNCT
ejpam-6488	313	11	which	which	PRON
ejpam-6488	313	12	means	mean	VERB
ejpam-6488	313	13	that	that	SCONJ
ejpam-6488	313	14	the	the	DET
ejpam-6488	313	15	partial	partial	ADJ
ejpam-6488	313	16	sum	sum	NOUN
ejpam-6488	313	17	uε	uε	PROPN
ejpam-6488	313	18	,	,	PUNCT
ejpam-6488	313	19	n+1(x	n+1(x	PROPN
ejpam-6488	313	20	,	,	PUNCT
ejpam-6488	313	21	t	t	PROPN
ejpam-6488	313	22	)	)	PUNCT
ejpam-6488	313	23	=	=	PUNCT
ejpam-6488	314	1	=	=	SYM
ejpam-6488	314	2	uεn	uεn	NOUN
ejpam-6488	314	3	(	(	PUNCT
ejpam-6488	314	4	x	x	NOUN
ejpam-6488	314	5	,	,	PUNCT
ejpam-6488	314	6	t	t	PROPN
ejpam-6488	314	7	)	)	PUNCT
ejpam-6488	314	8	+	+	SYM
ejpam-6488	314	9	εn+1un+1(x	εn+1un+1(x	CCONJ
ejpam-6488	314	10	,	,	PUNCT
ejpam-6488	314	11	t	t	PROPN
ejpam-6488	314	12	,	,	PUNCT
ejpam-6488	314	13	ψ(t	ψ(t	PROPN
ejpam-6488	314	14	)	)	PUNCT
ejpam-6488	314	15	ε	ε	PROPN
ejpam-6488	314	16	)	)	PUNCT
ejpam-6488	314	17	satisfies	satisfy	VERB
ejpam-6488	314	18	the	the	DET
ejpam-6488	314	19	inequality	inequality	NOUN
ejpam-6488	314	20	||y(x	||y(x	NOUN
ejpam-6488	314	21	,	,	PUNCT
ejpam-6488	314	22	t	t	PROPN
ejpam-6488	314	23	,	,	PUNCT
ejpam-6488	314	24	ε)−	ε)−	PROPN
ejpam-6488	314	25	uε	uε	PROPN
ejpam-6488	314	26	,	,	PUNCT
ejpam-6488	314	27	n+1(x	n+1(x	PROPN
ejpam-6488	314	28	,	,	PUNCT
ejpam-6488	314	29	t)||c[x0,x]×[0,t	t)||c[x0,x]×[0,t	NOUN
ejpam-6488	314	30	]	]	PUNCT
ejpam-6488	314	31	≡	≡	PROPN
ejpam-6488	314	32	≡	≡	PROPN
ejpam-6488	314	33	||(y(x	||(y(x	PROPN
ejpam-6488	314	34	,	,	PUNCT
ejpam-6488	314	35	t	t	PROPN
ejpam-6488	314	36	,	,	PUNCT
ejpam-6488	314	37	ε)−	ε)−	PROPN
ejpam-6488	314	38	y(x	y(x	PROPN
ejpam-6488	314	39	,	,	PUNCT
ejpam-6488	314	40	t))−	t))−	NOUN
ejpam-6488	314	41	εn+1un+1(x	εn+1un+1(x	NOUN
ejpam-6488	314	42	,	,	PUNCT
ejpam-6488	314	43	t	t	PROPN
ejpam-6488	314	44	,	,	PUNCT
ejpam-6488	314	45	ψ(x	ψ(x	NOUN
ejpam-6488	314	46	)	)	PUNCT
ejpam-6488	314	47	ε	ε	PROPN
ejpam-6488	314	48	)	)	PUNCT
ejpam-6488	315	1	||c[x0,x]×[0,t	||c[x0,x]×[0,t	NOUN
ejpam-6488	315	2	]	]	PUNCT
ejpam-6488	316	1	≤	≤	X
ejpam-6488	316	2	c̄n+1ε	c̄n+1ε	VERB
ejpam-6488	316	3	n+1	n+1	NOUN
ejpam-6488	316	4	.	.	PUNCT
ejpam-6488	317	1	using	use	VERB
ejpam-6488	317	2	the	the	DET
ejpam-6488	317	3	inequality	inequality	NOUN
ejpam-6488	317	4	||a−	||a−	PROPN
ejpam-6488	317	5	b||	b||	NUM
ejpam-6488	317	6	≥	≥	NOUN
ejpam-6488	317	7	|||a||	|||a||	NOUN
ejpam-6488	317	8	−	−	PROPN
ejpam-6488	317	9	||b|||	||b|||	PROPN
ejpam-6488	317	10	,	,	PUNCT
ejpam-6488	317	11	valid	valid	ADJ
ejpam-6488	317	12	for	for	ADP
ejpam-6488	317	13	any	any	DET
ejpam-6488	317	14	numbers	number	NOUN
ejpam-6488	317	15	a	a	PRON
ejpam-6488	317	16	and	and	CCONJ
ejpam-6488	317	17	b	b	NOUN
ejpam-6488	317	18	,	,	PUNCT
ejpam-6488	317	19	we	we	PRON
ejpam-6488	317	20	will	will	AUX
ejpam-6488	317	21	have	have	VERB
ejpam-6488	317	22	||y(x	||y(x	NOUN
ejpam-6488	317	23	,	,	PUNCT
ejpam-6488	317	24	t	t	PROPN
ejpam-6488	317	25	,	,	PUNCT
ejpam-6488	317	26	ε)−	ε)−	PROPN
ejpam-6488	317	27	uεn	uεn	NOUN
ejpam-6488	317	28	(	(	PUNCT
ejpam-6488	317	29	x	x	X
ejpam-6488	317	30	,	,	PUNCT
ejpam-6488	317	31	t)||c[x0,x]×[0,t	t)||c[x0,x]×[0,t	NOUN
ejpam-6488	317	32	]	]	PUNCT
ejpam-6488	317	33	≤	≤	NUM
ejpam-6488	317	34	(	(	PUNCT
ejpam-6488	317	35	c̄n	c̄n	PROPN
ejpam-6488	317	36	+	+	CCONJ
ejpam-6488	317	37	∥∥∥∥un+1	∥∥∥∥un+1	PROPN
ejpam-6488	317	38	(	(	PUNCT
ejpam-6488	317	39	x	x	X
ejpam-6488	317	40	,	,	PUNCT
ejpam-6488	317	41	t	t	PROPN
ejpam-6488	317	42	,	,	PUNCT
ejpam-6488	317	43	ψ(x	ψ(x	NOUN
ejpam-6488	317	44	)	)	PUNCT
ejpam-6488	317	45	ε	ε	PROPN
ejpam-6488	317	46	)	)	PUNCT
ejpam-6488	317	47	∥∥∥∥	∥∥∥∥	PROPN
ejpam-6488	318	1	c[x0,x]×[0,t	c[x0,x]×[0,t	NOUN
ejpam-6488	318	2	]	]	PUNCT
ejpam-6488	318	3	)	)	PUNCT
ejpam-6488	318	4	εn+1	εn+1	ADJ
ejpam-6488	318	5	whence	whence	SCONJ
ejpam-6488	318	6	we	we	PRON
ejpam-6488	318	7	derive	derive	VERB
ejpam-6488	318	8	the	the	DET
ejpam-6488	318	9	estimate	estimate	NOUN
ejpam-6488	318	10	||y(x	||y(x	PROPN
ejpam-6488	318	11	,	,	PUNCT
ejpam-6488	318	12	t	t	PROPN
ejpam-6488	318	13	,	,	PUNCT
ejpam-6488	318	14	ε)−	ε)−	PROPN
ejpam-6488	318	15	uεn	uεn	NOUN
ejpam-6488	318	16	(	(	PUNCT
ejpam-6488	318	17	x	x	X
ejpam-6488	318	18	,	,	PUNCT
ejpam-6488	318	19	t)||c[x0,x]×[0,t	t)||c[x0,x]×[0,t	NOUN
ejpam-6488	318	20	]	]	PUNCT
ejpam-6488	318	21	≤	≤	NUM
ejpam-6488	318	22	cnε	cnε	NOUN
ejpam-6488	318	23	n+1	n+1	NUM
ejpam-6488	318	24	where	where	SCONJ
ejpam-6488	318	25	the	the	DET
ejpam-6488	318	26	constant	constant	ADJ
ejpam-6488	318	27	cn	cn	PROPN
ejpam-6488	318	28	>	>	X
ejpam-6488	318	29	0	0	NUM
ejpam-6488	318	30	does	do	AUX
ejpam-6488	318	31	not	not	PART
ejpam-6488	318	32	depend	depend	VERB
ejpam-6488	318	33	on	on	ADP
ejpam-6488	318	34	ε	ε	PROPN
ejpam-6488	318	35	∈	∈	PROPN
ejpam-6488	318	36	(	(	PUNCT
ejpam-6488	318	37	0	0	NUM
ejpam-6488	318	38	,	,	PUNCT
ejpam-6488	318	39	εn	εn	VERB
ejpam-6488	318	40	]	]	PUNCT
ejpam-6488	318	41	.	.	PUNCT
ejpam-6488	319	1	5	5	X
ejpam-6488	319	2	.	.	X
ejpam-6488	319	3	construction	construction	NOUN
ejpam-6488	319	4	of	of	ADP
ejpam-6488	319	5	the	the	DET
ejpam-6488	319	6	solution	solution	NOUN
ejpam-6488	319	7	of	of	ADP
ejpam-6488	319	8	the	the	DET
ejpam-6488	319	9	first	first	ADJ
ejpam-6488	319	10	iteration	iteration	NOUN
ejpam-6488	319	11	problem	problem	NOUN
ejpam-6488	319	12	in	in	ADP
ejpam-6488	319	13	the	the	DET
ejpam-6488	319	14	space	space	NOUN
ejpam-6488	319	15	u	u	NOUN
ejpam-6488	319	16	using	use	VERB
ejpam-6488	319	17	theorem	theorem	NOUN
ejpam-6488	319	18	2	2	NUM
ejpam-6488	319	19	,	,	PUNCT
ejpam-6488	319	20	we	we	PRON
ejpam-6488	319	21	will	will	AUX
ejpam-6488	319	22	try	try	VERB
ejpam-6488	319	23	to	to	PART
ejpam-6488	319	24	find	find	VERB
ejpam-6488	319	25	a	a	DET
ejpam-6488	319	26	solution	solution	NOUN
ejpam-6488	319	27	to	to	ADP
ejpam-6488	319	28	the	the	DET
ejpam-6488	319	29	first	first	ADJ
ejpam-6488	319	30	iterative	iterative	NOUN
ejpam-6488	319	31	problem	problem	NOUN
ejpam-6488	319	32	(	(	PUNCT
ejpam-6488	319	33	3.1k	3.1k	NUM
ejpam-6488	319	34	)	)	PUNCT
ejpam-6488	319	35	.	.	PUNCT
ejpam-6488	320	1	since	since	SCONJ
ejpam-6488	320	2	the	the	DET
ejpam-6488	320	3	right	right	ADJ
ejpam-6488	320	4	-	-	PUNCT
ejpam-6488	320	5	hand	hand	NOUN
ejpam-6488	320	6	side	side	NOUN
ejpam-6488	320	7	h1(t	h1(t	X
ejpam-6488	320	8	)	)	PUNCT
ejpam-6488	320	9	+	+	CCONJ
ejpam-6488	320	10	h2(x	h2(x	PROPN
ejpam-6488	320	11	,	,	PUNCT
ejpam-6488	320	12	t)e	t)e	NOUN
ejpam-6488	320	13	τ2	τ2	NOUN
ejpam-6488	320	14	of	of	ADP
ejpam-6488	320	15	the	the	DET
ejpam-6488	320	16	equation	equation	NOUN
ejpam-6488	320	17	(	(	PUNCT
ejpam-6488	320	18	3.10	3.10	NUM
ejpam-6488	320	19	)	)	PUNCT
ejpam-6488	320	20	,	,	PUNCT
ejpam-6488	320	21	satisfies	satisfy	VERB
ejpam-6488	320	22	the	the	DET
ejpam-6488	320	23	condition	condition	NOUN
ejpam-6488	320	24	(	(	PUNCT
ejpam-6488	320	25	3.3	3.3	NUM
ejpam-6488	320	26	)	)	PUNCT
ejpam-6488	320	27	,	,	PUNCT
ejpam-6488	320	28	this	this	DET
ejpam-6488	320	29	equation	equation	NOUN
ejpam-6488	320	30	has	have	AUX
ejpam-6488	320	31	(	(	PUNCT
ejpam-6488	320	32	according	accord	VERB
ejpam-6488	320	33	to	to	ADP
ejpam-6488	320	34	(	(	PUNCT
ejpam-6488	320	35	3.6	3.6	NUM
ejpam-6488	320	36	)	)	PUNCT
ejpam-6488	320	37	)	)	PUNCT
ejpam-6488	320	38	a	a	DET
ejpam-6488	320	39	solution	solution	NOUN
ejpam-6488	320	40	in	in	ADP
ejpam-6488	320	41	the	the	DET
ejpam-6488	320	42	space	space	NOUN
ejpam-6488	320	43	u	u	NOUN
ejpam-6488	320	44	in	in	ADP
ejpam-6488	320	45	the	the	DET
ejpam-6488	320	46	form	form	NOUN
ejpam-6488	320	47	u0	u0	ADJ
ejpam-6488	320	48	(	(	PUNCT
ejpam-6488	320	49	t	t	PROPN
ejpam-6488	320	50	,	,	PUNCT
ejpam-6488	320	51	τ	τ	X
ejpam-6488	320	52	)	)	PUNCT
ejpam-6488	320	53	=	=	SYM
ejpam-6488	320	54	u	u	NOUN
ejpam-6488	320	55	(	(	PUNCT
ejpam-6488	320	56	0	0	NUM
ejpam-6488	320	57	)	)	PUNCT
ejpam-6488	320	58	0	0	NUM
ejpam-6488	321	1	(	(	PUNCT
ejpam-6488	321	2	x	x	X
ejpam-6488	321	3	,	,	PUNCT
ejpam-6488	321	4	t	t	PROPN
ejpam-6488	321	5	)	)	PUNCT
ejpam-6488	322	1	+	+	CCONJ
ejpam-6488	322	2	α	α	PROPN
ejpam-6488	322	3	(	(	PUNCT
ejpam-6488	322	4	0	0	NUM
ejpam-6488	322	5	)	)	PUNCT
ejpam-6488	322	6	1	1	NUM
ejpam-6488	322	7	(	(	PUNCT
ejpam-6488	322	8	x	x	NOUN
ejpam-6488	322	9	,	,	PUNCT
ejpam-6488	322	10	t	t	PROPN
ejpam-6488	322	11	)	)	PUNCT
ejpam-6488	322	12	eτ1	eτ1	NOUN
ejpam-6488	323	1	+	+	PUNCT
ejpam-6488	324	1	[	[	X
ejpam-6488	324	2	λ2(x)−	λ2(x)−	X
ejpam-6488	324	3	λ1(x	λ1(x	NUM
ejpam-6488	324	4	)	)	PUNCT
ejpam-6488	324	5	]	]	PUNCT
ejpam-6488	324	6	−1	−1	NOUN
ejpam-6488	324	7	h2(x	h2(x	PROPN
ejpam-6488	324	8	,	,	PUNCT
ejpam-6488	324	9	t)e	t)e	NOUN
ejpam-6488	324	10	τ2	τ2	NOUN
ejpam-6488	324	11	(	(	PUNCT
ejpam-6488	324	12	5.1	5.1	NUM
ejpam-6488	324	13	)	)	PUNCT
ejpam-6488	324	14	m.	m.	NOUN
ejpam-6488	324	15	begaidarov	begaidarov	NOUN
ejpam-6488	324	16	,	,	PUNCT
ejpam-6488	324	17	d.	d.	PROPN
ejpam-6488	324	18	bibulova	bibulova	PROPN
ejpam-6488	324	19	,	,	PUNCT
ejpam-6488	324	20	b.	b.	PROPN
ejpam-6488	324	21	kalimbetov	kalimbetov	PROPN
ejpam-6488	324	22	/	/	SYM
ejpam-6488	324	23	eur	eur	PROPN
ejpam-6488	324	24	.	.	PUNCT
ejpam-6488	325	1	j.	j.	PROPN
ejpam-6488	325	2	pure	pure	PROPN
ejpam-6488	325	3	appl	appl	PROPN
ejpam-6488	325	4	.	.	PROPN
ejpam-6488	325	5	math	math	PROPN
ejpam-6488	325	6	,	,	PUNCT
ejpam-6488	325	7	18	18	NUM
ejpam-6488	325	8	(	(	PUNCT
ejpam-6488	325	9	4	4	NUM
ejpam-6488	325	10	)	)	PUNCT
ejpam-6488	325	11	(	(	PUNCT
ejpam-6488	325	12	2025	2025	NUM
ejpam-6488	325	13	)	)	PUNCT
ejpam-6488	325	14	,	,	PUNCT
ejpam-6488	325	15	6488	6488	NUM
ejpam-6488	325	16	15	15	NUM
ejpam-6488	325	17	of	of	ADP
ejpam-6488	325	18	20	20	NUM
ejpam-6488	325	19	where	where	SCONJ
ejpam-6488	325	20	α(0	α(0	NOUN
ejpam-6488	325	21	)	)	PUNCT
ejpam-6488	325	22	1	1	NUM
ejpam-6488	325	23	(	(	PUNCT
ejpam-6488	325	24	x	x	NOUN
ejpam-6488	325	25	,	,	PUNCT
ejpam-6488	325	26	t	t	PROPN
ejpam-6488	325	27	)	)	PUNCT
ejpam-6488	325	28	∈	∈	PROPN
ejpam-6488	325	29	c∞[x0	c∞[x0	ADV
ejpam-6488	325	30	,	,	PUNCT
ejpam-6488	325	31	x	x	X
ejpam-6488	325	32	]	]	X
ejpam-6488	325	33	×	×	PROPN
ejpam-6488	325	34	[	[	X
ejpam-6488	325	35	t0	t0	PROPN
ejpam-6488	325	36	,	,	PUNCT
ejpam-6488	325	37	t	t	PROPN
ejpam-6488	325	38	]	]	PUNCT
ejpam-6488	325	39	are	be	AUX
ejpam-6488	325	40	arbitrary	arbitrary	ADJ
ejpam-6488	325	41	function	function	NOUN
ejpam-6488	325	42	,	,	PUNCT
ejpam-6488	325	43	u(0)0	u(0)0	PROPN
ejpam-6488	325	44	(	(	PUNCT
ejpam-6488	325	45	x	x	PROPN
ejpam-6488	325	46	,	,	PUNCT
ejpam-6488	325	47	t	t	PROPN
ejpam-6488	325	48	)	)	PUNCT
ejpam-6488	325	49	is	be	AUX
ejpam-6488	325	50	the	the	DET
ejpam-6488	325	51	solution	solution	NOUN
ejpam-6488	325	52	of	of	ADP
ejpam-6488	325	53	the	the	DET
ejpam-6488	325	54	integral	integral	ADJ
ejpam-6488	325	55	equation	equation	NOUN
ejpam-6488	325	56	−a	−a	NOUN
ejpam-6488	325	57	(	(	PUNCT
ejpam-6488	325	58	x)u0	x)u0	PROPN
ejpam-6488	325	59	(	(	PUNCT
ejpam-6488	325	60	x	x	NOUN
ejpam-6488	325	61	,	,	PUNCT
ejpam-6488	325	62	t)−	t)−	PROPN
ejpam-6488	326	1	x∫	x∫	NUM
ejpam-6488	327	1	x0	x0	PROPN
ejpam-6488	327	2	k	k	PROPN
ejpam-6488	327	3	(	(	PUNCT
ejpam-6488	327	4	x	x	PROPN
ejpam-6488	327	5	,	,	PUNCT
ejpam-6488	327	6	t	t	PROPN
ejpam-6488	327	7	,	,	PUNCT
ejpam-6488	327	8	s)u0	s)u0	PROPN
ejpam-6488	327	9	(	(	PUNCT
ejpam-6488	327	10	s	s	PROPN
ejpam-6488	327	11	,	,	PUNCT
ejpam-6488	327	12	t	t	NOUN
ejpam-6488	327	13	)	)	PUNCT
ejpam-6488	327	14	ds	ds	PROPN
ejpam-6488	327	15	=	=	PUNCT
ejpam-6488	327	16	h1	h1	NOUN
ejpam-6488	327	17	(	(	PUNCT
ejpam-6488	327	18	x	x	NOUN
ejpam-6488	327	19	,	,	PUNCT
ejpam-6488	327	20	t	t	PROPN
ejpam-6488	327	21	)	)	PUNCT
ejpam-6488	327	22	.	.	PUNCT
ejpam-6488	328	1	subordinating	subordinate	VERB
ejpam-6488	328	2	(	(	PUNCT
ejpam-6488	328	3	5.1	5.1	NUM
ejpam-6488	328	4	)	)	PUNCT
ejpam-6488	328	5	to	to	ADP
ejpam-6488	328	6	the	the	DET
ejpam-6488	328	7	initial	initial	ADJ
ejpam-6488	328	8	condition	condition	NOUN
ejpam-6488	328	9	u0	u0	ADJ
ejpam-6488	328	10	(	(	PUNCT
ejpam-6488	328	11	x0	x0	PROPN
ejpam-6488	328	12	,	,	PUNCT
ejpam-6488	328	13	t	t	PROPN
ejpam-6488	328	14	,	,	PUNCT
ejpam-6488	328	15	0	0	NUM
ejpam-6488	328	16	)	)	PUNCT
ejpam-6488	328	17	=	=	SYM
ejpam-6488	329	1	y0(t	y0(t	X
ejpam-6488	329	2	)	)	PUNCT
ejpam-6488	329	3	,	,	PUNCT
ejpam-6488	329	4	we	we	PRON
ejpam-6488	329	5	obtain	obtain	VERB
ejpam-6488	329	6	values	value	NOUN
ejpam-6488	329	7	u	u	NOUN
ejpam-6488	329	8	(	(	PUNCT
ejpam-6488	329	9	0	0	NUM
ejpam-6488	329	10	)	)	PUNCT
ejpam-6488	329	11	0	0	NUM
ejpam-6488	330	1	(	(	PUNCT
ejpam-6488	330	2	x0	x0	PROPN
ejpam-6488	330	3	,	,	PUNCT
ejpam-6488	330	4	t	t	PROPN
ejpam-6488	330	5	)	)	PUNCT
ejpam-6488	331	1	+	+	CCONJ
ejpam-6488	331	2	α	α	PROPN
ejpam-6488	331	3	(	(	PUNCT
ejpam-6488	331	4	0	0	NUM
ejpam-6488	331	5	)	)	PUNCT
ejpam-6488	331	6	1	1	NUM
ejpam-6488	331	7	(	(	PUNCT
ejpam-6488	331	8	x0	x0	PROPN
ejpam-6488	331	9	,	,	PUNCT
ejpam-6488	331	10	t	t	PROPN
ejpam-6488	331	11	)	)	PUNCT
ejpam-6488	331	12	+	+	CCONJ
ejpam-6488	332	1	[	[	X
ejpam-6488	332	2	λ2(x0)−	λ2(x0)−	X
ejpam-6488	332	3	λ1(x0	λ1(x0	NUM
ejpam-6488	332	4	)	)	PUNCT
ejpam-6488	332	5	]	]	PUNCT
ejpam-6488	332	6	−1	−1	NOUN
ejpam-6488	332	7	h2(x0	h2(x0	PROPN
ejpam-6488	332	8	,	,	PUNCT
ejpam-6488	332	9	t	t	PROPN
ejpam-6488	332	10	)	)	PUNCT
ejpam-6488	332	11	=	=	SYM
ejpam-6488	332	12	y0(t	y0(t	X
ejpam-6488	332	13	)	)	PUNCT
ejpam-6488	332	14	⇔	⇔	PROPN
ejpam-6488	332	15	⇔	⇔	PROPN
ejpam-6488	332	16	α	α	PROPN
ejpam-6488	332	17	(	(	PUNCT
ejpam-6488	332	18	0	0	NUM
ejpam-6488	332	19	)	)	PUNCT
ejpam-6488	332	20	1	1	NUM
ejpam-6488	332	21	(	(	PUNCT
ejpam-6488	332	22	x0	x0	PROPN
ejpam-6488	332	23	,	,	PUNCT
ejpam-6488	332	24	t	t	PROPN
ejpam-6488	332	25	)	)	PUNCT
ejpam-6488	332	26	=	=	SYM
ejpam-6488	333	1	y0(t	y0(t	X
ejpam-6488	333	2	)	)	PUNCT
ejpam-6488	333	3	+	+	CCONJ
ejpam-6488	334	1	λ−1	λ−1	PROPN
ejpam-6488	334	2	1	1	NUM
ejpam-6488	334	3	(	(	PUNCT
ejpam-6488	334	4	x0)h1	x0)h1	PROPN
ejpam-6488	334	5	(	(	PUNCT
ejpam-6488	334	6	x0	x0	PROPN
ejpam-6488	334	7	,	,	PUNCT
ejpam-6488	334	8	t)−	t)−	PROPN
ejpam-6488	335	1	[	[	X
ejpam-6488	335	2	λ2(x0)−	λ2(x0)−	X
ejpam-6488	335	3	λ1(x0	λ1(x0	NUM
ejpam-6488	335	4	)	)	PUNCT
ejpam-6488	335	5	]	]	PUNCT
ejpam-6488	335	6	−1	−1	NOUN
ejpam-6488	335	7	h2(x0	h2(x0	PROPN
ejpam-6488	335	8	,	,	PUNCT
ejpam-6488	335	9	t	t	PROPN
ejpam-6488	335	10	)	)	PUNCT
ejpam-6488	335	11	.	.	PUNCT
ejpam-6488	336	1	(	(	PUNCT
ejpam-6488	336	2	5.2	5.2	NUM
ejpam-6488	336	3	)	)	PUNCT
ejpam-6488	336	4	for	for	ADP
ejpam-6488	336	5	a	a	DET
ejpam-6488	336	6	complete	complete	ADJ
ejpam-6488	336	7	calculation	calculation	NOUN
ejpam-6488	336	8	of	of	ADP
ejpam-6488	336	9	the	the	DET
ejpam-6488	336	10	function	function	NOUN
ejpam-6488	336	11	α	α	NOUN
ejpam-6488	336	12	(	(	PUNCT
ejpam-6488	336	13	0	0	NUM
ejpam-6488	336	14	)	)	PUNCT
ejpam-6488	336	15	1	1	NUM
ejpam-6488	336	16	(	(	PUNCT
ejpam-6488	336	17	x	x	NOUN
ejpam-6488	336	18	,	,	PUNCT
ejpam-6488	336	19	t	t	PROPN
ejpam-6488	336	20	)	)	PUNCT
ejpam-6488	336	21	,	,	PUNCT
ejpam-6488	336	22	we	we	PRON
ejpam-6488	336	23	pass	pass	VERB
ejpam-6488	336	24	to	to	ADP
ejpam-6488	336	25	the	the	DET
ejpam-6488	336	26	next	next	ADJ
ejpam-6488	336	27	iterative	iterative	NOUN
ejpam-6488	336	28	problem	problem	NOUN
ejpam-6488	336	29	(	(	PUNCT
ejpam-6488	336	30	3.11	3.11	NUM
ejpam-6488	336	31	)	)	PUNCT
ejpam-6488	336	32	.	.	PUNCT
ejpam-6488	337	1	substituting	substitute	VERB
ejpam-6488	337	2	the	the	DET
ejpam-6488	337	3	solution	solution	NOUN
ejpam-6488	337	4	(	(	PUNCT
ejpam-6488	337	5	5.1	5.1	NUM
ejpam-6488	337	6	)	)	PUNCT
ejpam-6488	337	7	of	of	ADP
ejpam-6488	337	8	the	the	DET
ejpam-6488	337	9	equation	equation	NOUN
ejpam-6488	337	10	(	(	PUNCT
ejpam-6488	337	11	3.10	3.10	NUM
ejpam-6488	337	12	)	)	PUNCT
ejpam-6488	337	13	into	into	ADP
ejpam-6488	337	14	it	it	PRON
ejpam-6488	337	15	,	,	PUNCT
ejpam-6488	337	16	we	we	PRON
ejpam-6488	337	17	arrive	arrive	VERB
ejpam-6488	337	18	at	at	ADP
ejpam-6488	337	19	the	the	DET
ejpam-6488	337	20	following	follow	VERB
ejpam-6488	337	21	equation	equation	NOUN
ejpam-6488	337	22	:	:	PUNCT
ejpam-6488	337	23	lu1	lu1	PROPN
ejpam-6488	337	24	(	(	PUNCT
ejpam-6488	337	25	t	t	PROPN
ejpam-6488	337	26	,	,	PUNCT
ejpam-6488	337	27	τ	τ	X
ejpam-6488	337	28	)	)	PUNCT
ejpam-6488	337	29	=	=	SYM
ejpam-6488	337	30	−	−	PROPN
ejpam-6488	337	31	∂	∂	NOUN
ejpam-6488	337	32	∂x	∂x	PROPN
ejpam-6488	337	33	(	(	PUNCT
ejpam-6488	337	34	u	u	NOUN
ejpam-6488	337	35	(	(	PUNCT
ejpam-6488	337	36	0	0	NUM
ejpam-6488	337	37	)	)	PUNCT
ejpam-6488	337	38	0	0	NUM
ejpam-6488	338	1	(	(	PUNCT
ejpam-6488	338	2	x	x	X
ejpam-6488	338	3	,	,	PUNCT
ejpam-6488	338	4	t	t	PROPN
ejpam-6488	338	5	)	)	PUNCT
ejpam-6488	338	6	)	)	PUNCT
ejpam-6488	339	1	−	−	ADP
ejpam-6488	339	2	∂	∂	NUM
ejpam-6488	339	3	∂x	∂x	PROPN
ejpam-6488	339	4	(	(	PUNCT
ejpam-6488	339	5	α	α	X
ejpam-6488	339	6	(	(	PUNCT
ejpam-6488	339	7	0	0	NUM
ejpam-6488	339	8	)	)	PUNCT
ejpam-6488	339	9	1	1	NUM
ejpam-6488	339	10	(	(	PUNCT
ejpam-6488	339	11	x	x	NOUN
ejpam-6488	339	12	,	,	PUNCT
ejpam-6488	339	13	t	t	PROPN
ejpam-6488	339	14	)	)	PUNCT
ejpam-6488	339	15	)	)	PUNCT
ejpam-6488	339	16	eτ1−	eτ1−	NOUN
ejpam-6488	339	17	−	−	NOUN
ejpam-6488	339	18	∂	∂	NOUN
ejpam-6488	339	19	∂x	∂x	PROPN
ejpam-6488	339	20	(	(	PUNCT
ejpam-6488	339	21	[	[	X
ejpam-6488	339	22	λ2(x)−	λ2(x)−	X
ejpam-6488	339	23	λ1(x	λ1(x	NUM
ejpam-6488	339	24	)	)	PUNCT
ejpam-6488	339	25	]	]	PUNCT
ejpam-6488	339	26	−1	−1	NOUN
ejpam-6488	339	27	h2(x	h2(x	PROPN
ejpam-6488	339	28	,	,	PUNCT
ejpam-6488	339	29	t	t	PROPN
ejpam-6488	339	30	)	)	PUNCT
ejpam-6488	339	31	)	)	PUNCT
ejpam-6488	340	1	eτ2	eτ2	PROPN
ejpam-6488	340	2	+	+	CCONJ
ejpam-6488	340	3	(	(	PUNCT
ejpam-6488	340	4	5.3	5.3	NUM
ejpam-6488	340	5	)	)	PUNCT
ejpam-6488	341	1	+	+	NOUN
ejpam-6488	341	2	2∑	2∑	NUM
ejpam-6488	341	3	j=1	j=1	NOUN
ejpam-6488	341	4			PROPN
ejpam-6488	341	5	(	(	PUNCT
ejpam-6488	341	6	k	k	X
ejpam-6488	341	7	(	(	PUNCT
ejpam-6488	341	8	x	x	PROPN
ejpam-6488	341	9	,	,	PUNCT
ejpam-6488	341	10	t	t	PROPN
ejpam-6488	341	11	,	,	PUNCT
ejpam-6488	341	12	x)α	x)α	PUNCT
ejpam-6488	341	13	(	(	PUNCT
ejpam-6488	341	14	0	0	X
ejpam-6488	341	15	)	)	PUNCT
ejpam-6488	341	16	j	j	NOUN
ejpam-6488	341	17	(	(	PUNCT
ejpam-6488	341	18	x	x	PROPN
ejpam-6488	341	19	,	,	PUNCT
ejpam-6488	341	20	t	t	PROPN
ejpam-6488	341	21	)	)	PUNCT
ejpam-6488	341	22	)	)	PUNCT
ejpam-6488	342	1	λj	λj	PROPN
ejpam-6488	342	2	(	(	PUNCT
ejpam-6488	342	3	x	x	NOUN
ejpam-6488	342	4	)	)	PUNCT
ejpam-6488	342	5	eτi	eτi	NOUN
ejpam-6488	342	6	−	−	PROPN
ejpam-6488	343	1	(	(	PUNCT
ejpam-6488	343	2	k	k	X
ejpam-6488	343	3	(	(	PUNCT
ejpam-6488	343	4	x	x	PROPN
ejpam-6488	343	5	,	,	PUNCT
ejpam-6488	343	6	t	t	PROPN
ejpam-6488	343	7	,	,	PUNCT
ejpam-6488	343	8	x0)α	x0)α	PROPN
ejpam-6488	343	9	(	(	PUNCT
ejpam-6488	343	10	0	0	NUM
ejpam-6488	343	11	)	)	PUNCT
ejpam-6488	343	12	j	j	NOUN
ejpam-6488	343	13	(	(	PUNCT
ejpam-6488	343	14	x0	x0	PROPN
ejpam-6488	343	15	,	,	PUNCT
ejpam-6488	343	16	t	t	PROPN
ejpam-6488	343	17	)	)	PUNCT
ejpam-6488	343	18	)	)	PUNCT
ejpam-6488	344	1	λj	λj	PROPN
ejpam-6488	344	2	(	(	PUNCT
ejpam-6488	344	3	x0	x0	PROPN
ejpam-6488	344	4	)	)	PUNCT
ejpam-6488	344	5			NOUN
ejpam-6488	344	6	.	.	PUNCT
ejpam-6488	345	1	subordinating	subordinate	VERB
ejpam-6488	345	2	the	the	DET
ejpam-6488	345	3	right	right	ADJ
ejpam-6488	345	4	-	-	PUNCT
ejpam-6488	345	5	hand	hand	NOUN
ejpam-6488	345	6	side	side	NOUN
ejpam-6488	345	7	of	of	ADP
ejpam-6488	345	8	this	this	DET
ejpam-6488	345	9	equation	equation	NOUN
ejpam-6488	345	10	to	to	ADP
ejpam-6488	345	11	the	the	DET
ejpam-6488	345	12	solvability	solvability	NOUN
ejpam-6488	345	13	conditions	condition	NOUN
ejpam-6488	345	14	(	(	PUNCT
ejpam-6488	345	15	3.3	3.3	NUM
ejpam-6488	345	16	)	)	PUNCT
ejpam-6488	345	17	,	,	PUNCT
ejpam-6488	345	18	we	we	PRON
ejpam-6488	345	19	obtain	obtain	VERB
ejpam-6488	345	20	the	the	DET
ejpam-6488	345	21	equation	equation	NOUN
ejpam-6488	345	22	of	of	ADP
ejpam-6488	345	23	ordinary	ordinary	ADJ
ejpam-6488	345	24	differential	differential	ADJ
ejpam-6488	345	25	equations	equation	NOUN
ejpam-6488	345	26	−	−	PROPN
ejpam-6488	345	27	∂	∂	NOUN
ejpam-6488	345	28	∂x	∂x	PROPN
ejpam-6488	345	29	(	(	PUNCT
ejpam-6488	345	30	α	α	X
ejpam-6488	345	31	(	(	PUNCT
ejpam-6488	345	32	0	0	NUM
ejpam-6488	345	33	)	)	PUNCT
ejpam-6488	345	34	1	1	NUM
ejpam-6488	345	35	(	(	PUNCT
ejpam-6488	345	36	x	x	NOUN
ejpam-6488	345	37	,	,	PUNCT
ejpam-6488	345	38	t	t	PROPN
ejpam-6488	345	39	)	)	PUNCT
ejpam-6488	345	40	)	)	PUNCT
ejpam-6488	346	1	+	+	CCONJ
ejpam-6488	346	2	k	k	X
ejpam-6488	346	3	(	(	PUNCT
ejpam-6488	346	4	x	x	PROPN
ejpam-6488	346	5	,	,	PUNCT
ejpam-6488	346	6	t	t	PROPN
ejpam-6488	346	7	,	,	PUNCT
ejpam-6488	346	8	x	x	NOUN
ejpam-6488	346	9	)	)	PUNCT
ejpam-6488	346	10	λ1	λ1	PROPN
ejpam-6488	346	11	(	(	PUNCT
ejpam-6488	346	12	x	x	NOUN
ejpam-6488	346	13	)	)	PUNCT
ejpam-6488	346	14	α	α	PROPN
ejpam-6488	346	15	(	(	PUNCT
ejpam-6488	346	16	0	0	NUM
ejpam-6488	346	17	)	)	PUNCT
ejpam-6488	346	18	1	1	NUM
ejpam-6488	346	19	(	(	PUNCT
ejpam-6488	346	20	x	x	NOUN
ejpam-6488	346	21	,	,	PUNCT
ejpam-6488	346	22	t	t	PROPN
ejpam-6488	346	23	)	)	PUNCT
ejpam-6488	346	24	=	=	SYM
ejpam-6488	347	1	0	0	X
ejpam-6488	347	2	.	.	PUNCT
ejpam-6488	347	3	adding	add	VERB
ejpam-6488	347	4	the	the	DET
ejpam-6488	347	5	initial	initial	ADJ
ejpam-6488	347	6	condition	condition	NOUN
ejpam-6488	347	7	(	(	PUNCT
ejpam-6488	347	8	5.2	5.2	NUM
ejpam-6488	347	9	)	)	PUNCT
ejpam-6488	347	10	to	to	ADP
ejpam-6488	347	11	them	they	PRON
ejpam-6488	347	12	,	,	PUNCT
ejpam-6488	347	13	we	we	PRON
ejpam-6488	347	14	find	find	VERB
ejpam-6488	347	15	α	α	PRON
ejpam-6488	347	16	(	(	PUNCT
ejpam-6488	347	17	0	0	NUM
ejpam-6488	347	18	)	)	PUNCT
ejpam-6488	347	19	1	1	NUM
ejpam-6488	347	20	(	(	PUNCT
ejpam-6488	347	21	x	x	NOUN
ejpam-6488	347	22	,	,	PUNCT
ejpam-6488	347	23	t	t	PROPN
ejpam-6488	347	24	)	)	PUNCT
ejpam-6488	347	25	=	=	SYM
ejpam-6488	347	26	α	α	PROPN
ejpam-6488	347	27	(	(	PUNCT
ejpam-6488	347	28	0	0	NUM
ejpam-6488	347	29	)	)	PUNCT
ejpam-6488	347	30	1	1	NUM
ejpam-6488	347	31	(	(	PUNCT
ejpam-6488	347	32	x0	x0	PROPN
ejpam-6488	347	33	,	,	PUNCT
ejpam-6488	347	34	t	t	PROPN
ejpam-6488	347	35	)	)	PUNCT
ejpam-6488	347	36	e	e	PROPN
ejpam-6488	348	1	x∫	x∫	NUM
ejpam-6488	348	2	x0	x0	PROPN
ejpam-6488	348	3	k(θ	k(θ	PROPN
ejpam-6488	348	4	,	,	PUNCT
ejpam-6488	348	5	t	t	PROPN
ejpam-6488	348	6	,	,	PUNCT
ejpam-6488	348	7	θ	θ	NOUN
ejpam-6488	348	8	)	)	PUNCT
ejpam-6488	348	9	λ1(θ	λ1(θ	PROPN
ejpam-6488	348	10	)	)	PUNCT
ejpam-6488	348	11	dθ	dθ	NOUN
ejpam-6488	348	12	and	and	CCONJ
ejpam-6488	348	13	therefore	therefore	ADV
ejpam-6488	348	14	,	,	PUNCT
ejpam-6488	348	15	the	the	DET
ejpam-6488	348	16	solution	solution	NOUN
ejpam-6488	348	17	(	(	PUNCT
ejpam-6488	348	18	5.1	5.1	NUM
ejpam-6488	348	19	)	)	PUNCT
ejpam-6488	348	20	of	of	ADP
ejpam-6488	348	21	the	the	DET
ejpam-6488	348	22	problem	problem	NOUN
ejpam-6488	348	23	will	will	AUX
ejpam-6488	348	24	be	be	AUX
ejpam-6488	348	25	found	find	VERB
ejpam-6488	348	26	uniquely	uniquely	ADV
ejpam-6488	348	27	in	in	ADP
ejpam-6488	348	28	the	the	DET
ejpam-6488	348	29	space	space	NOUN
ejpam-6488	348	30	u.	u.	NOUN
ejpam-6488	348	31	in	in	ADP
ejpam-6488	348	32	this	this	DET
ejpam-6488	348	33	case	case	NOUN
ejpam-6488	348	34	,	,	PUNCT
ejpam-6488	348	35	the	the	DET
ejpam-6488	348	36	leading	lead	VERB
ejpam-6488	348	37	term	term	NOUN
ejpam-6488	348	38	of	of	ADP
ejpam-6488	348	39	the	the	DET
ejpam-6488	348	40	asymptotics	asymptotic	NOUN
ejpam-6488	348	41	has	have	VERB
ejpam-6488	348	42	the	the	DET
ejpam-6488	348	43	following	follow	VERB
ejpam-6488	348	44	form	form	NOUN
ejpam-6488	348	45	:	:	PUNCT
ejpam-6488	348	46	yε0	yε0	PROPN
ejpam-6488	348	47	(	(	PUNCT
ejpam-6488	348	48	x	x	NOUN
ejpam-6488	348	49	,	,	PUNCT
ejpam-6488	348	50	t	t	PROPN
ejpam-6488	348	51	)	)	PUNCT
ejpam-6488	348	52	=	=	SYM
ejpam-6488	348	53	u	u	NOUN
ejpam-6488	348	54	(	(	PUNCT
ejpam-6488	348	55	0	0	NUM
ejpam-6488	348	56	)	)	PUNCT
ejpam-6488	348	57	0	0	NUM
ejpam-6488	349	1	(	(	PUNCT
ejpam-6488	349	2	x	x	X
ejpam-6488	349	3	,	,	PUNCT
ejpam-6488	349	4	t	t	PROPN
ejpam-6488	349	5	)	)	PUNCT
ejpam-6488	350	1	+	+	CCONJ
ejpam-6488	350	2	α	α	PROPN
ejpam-6488	350	3	(	(	PUNCT
ejpam-6488	350	4	0	0	NUM
ejpam-6488	350	5	)	)	PUNCT
ejpam-6488	350	6	1	1	NUM
ejpam-6488	350	7	(	(	PUNCT
ejpam-6488	350	8	x0	x0	PROPN
ejpam-6488	350	9	,	,	PUNCT
ejpam-6488	350	10	t	t	PROPN
ejpam-6488	350	11	)	)	PUNCT
ejpam-6488	350	12	e	e	PROPN
ejpam-6488	351	1	x∫	x∫	NUM
ejpam-6488	351	2	x0	x0	PROPN
ejpam-6488	351	3	k(θ	k(θ	PROPN
ejpam-6488	351	4	,	,	PUNCT
ejpam-6488	351	5	t	t	PROPN
ejpam-6488	351	6	,	,	PUNCT
ejpam-6488	351	7	θ	θ	NOUN
ejpam-6488	351	8	)	)	PUNCT
ejpam-6488	351	9	λ1(θ	λ1(θ	PROPN
ejpam-6488	351	10	)	)	PUNCT
ejpam-6488	351	11	dθ+	dθ+	NOUN
ejpam-6488	351	12	1	1	NUM
ejpam-6488	351	13	ε	ε	PROPN
ejpam-6488	351	14	x∫	x∫	NUM
ejpam-6488	351	15	x0	x0	PROPN
ejpam-6488	351	16	λ1(θ)dθ	λ1(θ)dθ	X
ejpam-6488	351	17	+	+	PUNCT
ejpam-6488	351	18	+	+	CCONJ
ejpam-6488	352	1	[	[	X
ejpam-6488	352	2	λ2(x)−	λ2(x)−	X
ejpam-6488	352	3	λ1(x	λ1(x	NUM
ejpam-6488	352	4	)	)	PUNCT
ejpam-6488	352	5	]	]	PUNCT
ejpam-6488	353	1	−1	−1	NOUN
ejpam-6488	353	2	h2(x	h2(x	PROPN
ejpam-6488	353	3	,	,	PUNCT
ejpam-6488	353	4	t)e	t)e	SYM
ejpam-6488	353	5	1	1	NUM
ejpam-6488	353	6	ε	ε	X
ejpam-6488	353	7	x∫	x∫	NUM
ejpam-6488	353	8	x0	x0	PROPN
ejpam-6488	353	9	λ2(θ)dθ	λ2(θ)dθ	X
ejpam-6488	353	10	(	(	PUNCT
ejpam-6488	353	11	5.30	5.30	NUM
ejpam-6488	353	12	)	)	PUNCT
ejpam-6488	353	13	where	where	SCONJ
ejpam-6488	353	14	u(0)0	u(0)0	PROPN
ejpam-6488	353	15	(	(	PUNCT
ejpam-6488	353	16	x	x	PROPN
ejpam-6488	353	17	,	,	PUNCT
ejpam-6488	353	18	t	t	PROPN
ejpam-6488	353	19	)	)	PUNCT
ejpam-6488	353	20	is	be	AUX
ejpam-6488	353	21	the	the	DET
ejpam-6488	353	22	solution	solution	NOUN
ejpam-6488	353	23	of	of	ADP
ejpam-6488	353	24	the	the	DET
ejpam-6488	353	25	integral	integral	ADJ
ejpam-6488	353	26	equation	equation	NOUN
ejpam-6488	353	27	−a	−a	NOUN
ejpam-6488	353	28	(	(	PUNCT
ejpam-6488	353	29	t)u0	t)u0	ADV
ejpam-6488	353	30	(	(	PUNCT
ejpam-6488	353	31	x	x	NOUN
ejpam-6488	353	32	,	,	PUNCT
ejpam-6488	353	33	t)−	t)−	PROPN
ejpam-6488	354	1	x∫	x∫	NUM
ejpam-6488	355	1	x0	x0	PROPN
ejpam-6488	355	2	k	k	PROPN
ejpam-6488	355	3	(	(	PUNCT
ejpam-6488	355	4	x	x	PROPN
ejpam-6488	355	5	,	,	PUNCT
ejpam-6488	355	6	t	t	PROPN
ejpam-6488	355	7	,	,	PUNCT
ejpam-6488	355	8	s)u0	s)u0	PROPN
ejpam-6488	355	9	(	(	PUNCT
ejpam-6488	355	10	s	s	PROPN
ejpam-6488	355	11	,	,	PUNCT
ejpam-6488	355	12	t	t	NOUN
ejpam-6488	355	13	)	)	PUNCT
ejpam-6488	355	14	ds	ds	PROPN
ejpam-6488	355	15	=	=	PUNCT
ejpam-6488	355	16	h1	h1	NOUN
ejpam-6488	355	17	(	(	PUNCT
ejpam-6488	355	18	x	x	NOUN
ejpam-6488	355	19	,	,	PUNCT
ejpam-6488	355	20	t	t	PROPN
ejpam-6488	355	21	)	)	PUNCT
ejpam-6488	355	22	.	.	PUNCT
ejpam-6488	356	1	m.	m.	NOUN
ejpam-6488	356	2	begaidarov	begaidarov	PROPN
ejpam-6488	356	3	,	,	PUNCT
ejpam-6488	356	4	d.	d.	PROPN
ejpam-6488	356	5	bibulova	bibulova	PROPN
ejpam-6488	356	6	,	,	PUNCT
ejpam-6488	356	7	b.	b.	PROPN
ejpam-6488	356	8	kalimbetov	kalimbetov	PROPN
ejpam-6488	356	9	/	/	SYM
ejpam-6488	356	10	eur	eur	PROPN
ejpam-6488	356	11	.	.	PUNCT
ejpam-6488	357	1	j.	j.	PROPN
ejpam-6488	357	2	pure	pure	PROPN
ejpam-6488	357	3	appl	appl	PROPN
ejpam-6488	357	4	.	.	PROPN
ejpam-6488	357	5	math	math	PROPN
ejpam-6488	357	6	,	,	PUNCT
ejpam-6488	357	7	18	18	NUM
ejpam-6488	357	8	(	(	PUNCT
ejpam-6488	357	9	4	4	NUM
ejpam-6488	357	10	)	)	PUNCT
ejpam-6488	357	11	(	(	PUNCT
ejpam-6488	357	12	2025	2025	NUM
ejpam-6488	357	13	)	)	PUNCT
ejpam-6488	357	14	,	,	PUNCT
ejpam-6488	357	15	6488	6488	NUM
ejpam-6488	357	16	16	16	NUM
ejpam-6488	357	17	of	of	ADP
ejpam-6488	357	18	20	20	NUM
ejpam-6488	357	19	example	example	NOUN
ejpam-6488	358	1	1	1	NUM
ejpam-6488	358	2	.	.	PUNCT
ejpam-6488	359	1	let	let	VERB
ejpam-6488	359	2	us	we	PRON
ejpam-6488	359	3	consider	consider	VERB
ejpam-6488	359	4	the	the	DET
ejpam-6488	359	5	following	follow	VERB
ejpam-6488	359	6	problem	problem	NOUN
ejpam-6488	359	7	:	:	PUNCT
ejpam-6488	360	1	ε	ε	PROPN
ejpam-6488	360	2	∂y(x	∂y(x	PROPN
ejpam-6488	360	3	,	,	PUNCT
ejpam-6488	360	4	t	t	PROPN
ejpam-6488	360	5	,	,	PUNCT
ejpam-6488	360	6	ε	ε	PROPN
ejpam-6488	360	7	)	)	PUNCT
ejpam-6488	360	8	∂x	∂x	PROPN
ejpam-6488	360	9	=	=	PUNCT
ejpam-6488	360	10	−y	−y	NOUN
ejpam-6488	361	1	+	+	CCONJ
ejpam-6488	361	2	x∫	x∫	ADJ
ejpam-6488	361	3	x0	x0	PROPN
ejpam-6488	361	4	xtsy	xtsy	NOUN
ejpam-6488	361	5	(	(	PUNCT
ejpam-6488	361	6	s	s	PROPN
ejpam-6488	361	7	,	,	PUNCT
ejpam-6488	361	8	t	t	PROPN
ejpam-6488	361	9	,	,	PUNCT
ejpam-6488	361	10	ε	ε	PROPN
ejpam-6488	361	11	)	)	PUNCT
ejpam-6488	361	12	ds+	ds+	NOUN
ejpam-6488	361	13	2xt+	2xt+	NUM
ejpam-6488	361	14	xte	xte	PROPN
ejpam-6488	361	15	i(x+x3	i(x+x3	PROPN
ejpam-6488	361	16	)	)	PUNCT
ejpam-6488	361	17	ε	ε	PROPN
ejpam-6488	361	18	,	,	PUNCT
ejpam-6488	361	19	y	y	PROPN
ejpam-6488	361	20	(	(	PUNCT
ejpam-6488	361	21	x0	x0	PROPN
ejpam-6488	361	22	,	,	PUNCT
ejpam-6488	361	23	t	t	PROPN
ejpam-6488	361	24	,	,	PUNCT
ejpam-6488	361	25	ε	ε	PROPN
ejpam-6488	361	26	)	)	PUNCT
ejpam-6488	361	27	=	=	SYM
ejpam-6488	361	28	y0(t	y0(t	PROPN
ejpam-6488	361	29	)	)	PUNCT
ejpam-6488	361	30	,	,	PUNCT
ejpam-6488	361	31	(	(	PUNCT
ejpam-6488	361	32	5.4	5.4	NUM
ejpam-6488	361	33	)	)	PUNCT
ejpam-6488	361	34	where	where	SCONJ
ejpam-6488	361	35	a(x	a(x	NOUN
ejpam-6488	361	36	)	)	PUNCT
ejpam-6488	361	37	=	=	SYM
ejpam-6488	361	38	−1	−1	NOUN
ejpam-6488	361	39	,	,	PUNCT
ejpam-6488	361	40	k	k	PROPN
ejpam-6488	361	41	(	(	PUNCT
ejpam-6488	361	42	x	x	PROPN
ejpam-6488	361	43	,	,	PUNCT
ejpam-6488	361	44	t	t	PROPN
ejpam-6488	361	45	,	,	PUNCT
ejpam-6488	361	46	s	s	PART
ejpam-6488	361	47	)	)	PUNCT
ejpam-6488	361	48	=	=	SYM
ejpam-6488	361	49	xts	xts	PROPN
ejpam-6488	361	50	,	,	PUNCT
ejpam-6488	361	51	h1(x	h1(x	PROPN
ejpam-6488	361	52	,	,	PUNCT
ejpam-6488	361	53	t	t	PROPN
ejpam-6488	361	54	)	)	PUNCT
ejpam-6488	362	1	=	=	SYM
ejpam-6488	362	2	2xt	2xt	NOUN
ejpam-6488	362	3	,	,	PUNCT
ejpam-6488	362	4	h2(x	h2(x	PROPN
ejpam-6488	362	5	,	,	PUNCT
ejpam-6488	362	6	t	t	PROPN
ejpam-6488	362	7	)	)	PUNCT
ejpam-6488	362	8	=	=	SYM
ejpam-6488	363	1	xt	xt	PROPN
ejpam-6488	363	2	.	.	PUNCT
ejpam-6488	364	1	let	let	VERB
ejpam-6488	364	2	’s	’s	NOUN
ejpam-6488	364	3	try	try	VERB
ejpam-6488	364	4	to	to	PART
ejpam-6488	364	5	construct	construct	VERB
ejpam-6488	364	6	its	its	PRON
ejpam-6488	364	7	main	main	ADJ
ejpam-6488	364	8	term	term	NOUN
ejpam-6488	364	9	of	of	ADP
ejpam-6488	364	10	the	the	DET
ejpam-6488	364	11	asymptotic	asymptotic	ADJ
ejpam-6488	364	12	solution	solution	NOUN
ejpam-6488	364	13	.	.	PUNCT
ejpam-6488	365	1	in	in	ADP
ejpam-6488	365	2	this	this	DET
ejpam-6488	365	3	equation	equation	NOUN
ejpam-6488	365	4	we	we	PRON
ejpam-6488	365	5	has	have	VERB
ejpam-6488	365	6	the	the	DET
ejpam-6488	365	7	following	follow	VERB
ejpam-6488	365	8	spectrum	spectrum	NOUN
ejpam-6488	365	9	:	:	PUNCT
ejpam-6488	365	10	{	{	PUNCT
ejpam-6488	365	11	λ1	λ1	PROPN
ejpam-6488	365	12	(	(	PUNCT
ejpam-6488	365	13	t	t	PROPN
ejpam-6488	365	14	)	)	PUNCT
ejpam-6488	365	15	,	,	PUNCT
ejpam-6488	365	16	λ2	λ2	PROPN
ejpam-6488	365	17	(	(	PUNCT
ejpam-6488	365	18	t	t	NOUN
ejpam-6488	365	19	)	)	PUNCT
ejpam-6488	365	20	}	}	PUNCT
ejpam-6488	366	1	=	=	PRON
ejpam-6488	366	2	{	{	PUNCT
ejpam-6488	366	3	−1	−1	NOUN
ejpam-6488	366	4	,	,	PUNCT
ejpam-6488	366	5	i	i	PRON
ejpam-6488	366	6	(	(	PUNCT
ejpam-6488	366	7	1	1	NUM
ejpam-6488	366	8	+	+	NUM
ejpam-6488	366	9	3x2	3x2	NUM
ejpam-6488	366	10	)	)	PUNCT
ejpam-6488	366	11	}	}	PUNCT
ejpam-6488	366	12	.	.	PUNCT
ejpam-6488	367	1	regularizing	regularize	VERB
ejpam-6488	367	2	problem	problem	NOUN
ejpam-6488	367	3	(	(	PUNCT
ejpam-6488	367	4	5.4	5.4	NUM
ejpam-6488	367	5	)	)	PUNCT
ejpam-6488	367	6	using	use	VERB
ejpam-6488	367	7	the	the	DET
ejpam-6488	367	8	functions	function	NOUN
ejpam-6488	367	9	τ1	τ1	NOUN
ejpam-6488	367	10	=	=	SYM
ejpam-6488	367	11	1	1	NUM
ejpam-6488	367	12	ε	ε	PROPN
ejpam-6488	367	13	x∫	x∫	NUM
ejpam-6488	367	14	x0	x0	PROPN
ejpam-6488	367	15	λ1	λ1	PROPN
ejpam-6488	367	16	(	(	PUNCT
ejpam-6488	367	17	θ	θ	NOUN
ejpam-6488	367	18	)	)	PUNCT
ejpam-6488	367	19	dθ	dθ	PROPN
ejpam-6488	367	20	,	,	PUNCT
ejpam-6488	367	21	⇔	⇔	PROPN
ejpam-6488	367	22	τ1	τ1	PROPN
ejpam-6488	367	23	=	=	SYM
ejpam-6488	367	24	−1	−1	NOUN
ejpam-6488	367	25	ε	ε	PROPN
ejpam-6488	367	26	(	(	PUNCT
ejpam-6488	367	27	x−	x−	PROPN
ejpam-6488	367	28	x0	x0	PROPN
ejpam-6488	367	29	)	)	PUNCT
ejpam-6488	367	30	,	,	PUNCT
ejpam-6488	367	31	τ2	τ2	NOUN
ejpam-6488	367	32	=	=	NOUN
ejpam-6488	367	33	i	i	NOUN
ejpam-6488	367	34	ε	ε	PROPN
ejpam-6488	368	1	x∫	x∫	ADJ
ejpam-6488	368	2	x0	x0	PROPN
ejpam-6488	368	3	(	(	PUNCT
ejpam-6488	368	4	1	1	NUM
ejpam-6488	368	5	+	+	NUM
ejpam-6488	368	6	3θ2	3θ2	NUM
ejpam-6488	368	7	)	)	PUNCT
ejpam-6488	369	1	dθ	dθ	PROPN
ejpam-6488	369	2	=	=	NOUN
ejpam-6488	370	1	i	i	NOUN
ejpam-6488	370	2	ε	ε	VERB
ejpam-6488	370	3	[	[	PUNCT
ejpam-6488	370	4	(	(	PUNCT
ejpam-6488	370	5	x−	x−	PROPN
ejpam-6488	370	6	x0	x0	PROPN
ejpam-6488	371	1	+	+	CCONJ
ejpam-6488	372	1	x3	x3	ADJ
ejpam-6488	372	2	−	−	PROPN
ejpam-6488	372	3	x0	x0	PROPN
ejpam-6488	372	4	3	3	NUM
ejpam-6488	372	5	)	)	PUNCT
ejpam-6488	372	6	]	]	PUNCT
ejpam-6488	373	1	we	we	PRON
ejpam-6488	373	2	get	get	VERB
ejpam-6488	373	3	the	the	DET
ejpam-6488	373	4	following	following	ADJ
ejpam-6488	373	5	extended	extended	ADJ
ejpam-6488	373	6	problem	problem	NOUN
ejpam-6488	373	7	:	:	PUNCT
ejpam-6488	373	8	lεu	lεu	ADJ
ejpam-6488	373	9	(	(	PUNCT
ejpam-6488	373	10	x	x	PROPN
ejpam-6488	373	11	,	,	PUNCT
ejpam-6488	373	12	t	t	PROPN
ejpam-6488	373	13	,	,	PUNCT
ejpam-6488	373	14	τ	τ	PROPN
ejpam-6488	373	15	,	,	PUNCT
ejpam-6488	373	16	ε	ε	PROPN
ejpam-6488	373	17	)	)	PUNCT
ejpam-6488	373	18	≡	≡	PROPN
ejpam-6488	373	19	ε∂u∂x	ε∂u∂x	PRON
ejpam-6488	374	1	+	+	CCONJ
ejpam-6488	374	2	λ1	λ1	ADJ
ejpam-6488	374	3	∂u	∂u	PROPN
ejpam-6488	374	4	∂τ1	∂τ1	NOUN
ejpam-6488	374	5	+	+	CCONJ
ejpam-6488	374	6	λ2	λ2	PROPN
ejpam-6488	374	7	∂u	∂u	PROPN
ejpam-6488	374	8	∂τ2	∂τ2	NOUN
ejpam-6488	374	9	−	−	PROPN
ejpam-6488	375	1	λ1(s)ỹ	λ1(s)ỹ	INTJ
ejpam-6488	375	2	−	−	PROPN
ejpam-6488	375	3	j̃u	j̃u	PROPN
ejpam-6488	375	4	=	=	NOUN
ejpam-6488	375	5	=	=	SYM
ejpam-6488	375	6	h1(x	h1(x	PROPN
ejpam-6488	375	7	,	,	PUNCT
ejpam-6488	375	8	t	t	PROPN
ejpam-6488	375	9	)	)	PUNCT
ejpam-6488	375	10	+	+	NUM
ejpam-6488	375	11	h2(x	h2(x	PROPN
ejpam-6488	375	12	,	,	PUNCT
ejpam-6488	375	13	t)e	t)e	SYM
ejpam-6488	375	14	τ2σ	τ2σ	PROPN
ejpam-6488	375	15	,	,	PUNCT
ejpam-6488	375	16	u	u	PROPN
ejpam-6488	375	17	(	(	PUNCT
ejpam-6488	375	18	x0	x0	PROPN
ejpam-6488	375	19	,	,	PUNCT
ejpam-6488	375	20	t	t	PROPN
ejpam-6488	375	21	,	,	PUNCT
ejpam-6488	375	22	τ	τ	PROPN
ejpam-6488	375	23	,	,	PUNCT
ejpam-6488	375	24	ε	ε	PROPN
ejpam-6488	375	25	)	)	PUNCT
ejpam-6488	375	26	|τ=(0,0	|τ=(0,0	NOUN
ejpam-6488	375	27	)	)	PUNCT
ejpam-6488	375	28	=	=	SYM
ejpam-6488	375	29	y0(t	y0(t	NUM
ejpam-6488	375	30	)	)	PUNCT
ejpam-6488	375	31	(	(	PUNCT
ejpam-6488	375	32	5.5	5.5	NUM
ejpam-6488	375	33	)	)	PUNCT
ejpam-6488	375	34	where	where	SCONJ
ejpam-6488	375	35	τ	τ	X
ejpam-6488	375	36	=	=	PUNCT
ejpam-6488	375	37	(	(	PUNCT
ejpam-6488	375	38	τ1	τ1	NOUN
ejpam-6488	375	39	,	,	PUNCT
ejpam-6488	375	40	τ2	τ2	PROPN
ejpam-6488	375	41	)	)	PUNCT
ejpam-6488	375	42	,	,	PUNCT
ejpam-6488	375	43	σ	σ	PROPN
ejpam-6488	375	44	=	=	PUNCT
ejpam-6488	375	45	exp−i(x0+x0	exp−i(x0+x0	ADJ
ejpam-6488	375	46	3	3	NUM
ejpam-6488	375	47	)	)	PUNCT
ejpam-6488	375	48	ε	ε	PROPN
ejpam-6488	375	49	,	,	PUNCT
ejpam-6488	375	50	j̃	j̃	PROPN
ejpam-6488	375	51	is	be	AUX
ejpam-6488	375	52	extension	extension	NOUN
ejpam-6488	375	53	of	of	ADP
ejpam-6488	375	54	the	the	DET
ejpam-6488	375	55	integral	integral	ADJ
ejpam-6488	375	56	operator	operator	NOUN
ejpam-6488	375	57	j	j	PROPN
ejpam-6488	375	58	on	on	ADP
ejpam-6488	375	59	series	series	NOUN
ejpam-6488	375	60	of	of	ADP
ejpam-6488	375	61	the	the	DET
ejpam-6488	375	62	form	form	NOUN
ejpam-6488	375	63	u	u	NOUN
ejpam-6488	375	64	(	(	PUNCT
ejpam-6488	375	65	x	x	PROPN
ejpam-6488	375	66	,	,	PUNCT
ejpam-6488	375	67	t	t	PROPN
ejpam-6488	375	68	,	,	PUNCT
ejpam-6488	375	69	τ	τ	PROPN
ejpam-6488	375	70	,	,	PUNCT
ejpam-6488	375	71	ε	ε	PROPN
ejpam-6488	375	72	)	)	PUNCT
ejpam-6488	375	73	=	=	PUNCT
ejpam-6488	376	1	∞∑	∞∑	NUM
ejpam-6488	376	2	k=0	k=0	PROPN
ejpam-6488	376	3	εkuk	εkuk	NOUN
ejpam-6488	376	4	(	(	PUNCT
ejpam-6488	376	5	x	x	X
ejpam-6488	376	6	,	,	PUNCT
ejpam-6488	376	7	t	t	PROPN
ejpam-6488	376	8	,	,	PUNCT
ejpam-6488	376	9	τ	τ	PROPN
ejpam-6488	376	10	)	)	PUNCT
ejpam-6488	376	11	(	(	PUNCT
ejpam-6488	376	12	5.6	5.6	NUM
ejpam-6488	376	13	)	)	PUNCT
ejpam-6488	376	14	with	with	ADP
ejpam-6488	376	15	coefficients	coefficient	NOUN
ejpam-6488	376	16	uk	uk	PROPN
ejpam-6488	376	17	(	(	PUNCT
ejpam-6488	376	18	x	x	PROPN
ejpam-6488	376	19	,	,	PUNCT
ejpam-6488	376	20	t	t	PROPN
ejpam-6488	376	21	,	,	PUNCT
ejpam-6488	376	22	τ	τ	PROPN
ejpam-6488	376	23	)	)	PUNCT
ejpam-6488	376	24	from	from	ADP
ejpam-6488	376	25	the	the	DET
ejpam-6488	376	26	space	space	NOUN
ejpam-6488	376	27	u	u	NOUN
ejpam-6488	376	28	of	of	ADP
ejpam-6488	376	29	vector	vector	NOUN
ejpam-6488	376	30	functions	function	NOUN
ejpam-6488	376	31	u	u	NOUN
ejpam-6488	376	32	(	(	PUNCT
ejpam-6488	376	33	x	x	PROPN
ejpam-6488	376	34	,	,	PUNCT
ejpam-6488	376	35	t	t	PROPN
ejpam-6488	376	36	,	,	PUNCT
ejpam-6488	376	37	τ	τ	X
ejpam-6488	376	38	)	)	PUNCT
ejpam-6488	376	39	=	=	SYM
ejpam-6488	376	40	u0	u0	ADJ
ejpam-6488	376	41	(	(	PUNCT
ejpam-6488	376	42	x	x	NOUN
ejpam-6488	376	43	,	,	PUNCT
ejpam-6488	376	44	t	t	PROPN
ejpam-6488	376	45	)	)	PUNCT
ejpam-6488	376	46	+	+	NUM
ejpam-6488	376	47	2∑	2∑	NUM
ejpam-6488	376	48	j=1	j=1	PROPN
ejpam-6488	376	49	uj	uj	PROPN
ejpam-6488	376	50	(	(	PUNCT
ejpam-6488	376	51	x	x	PROPN
ejpam-6488	376	52	,	,	PUNCT
ejpam-6488	376	53	t	t	PROPN
ejpam-6488	376	54	)	)	PUNCT
ejpam-6488	376	55	e	e	NOUN
ejpam-6488	376	56	τj	τj	ADP
ejpam-6488	376	57	,	,	PUNCT
ejpam-6488	376	58	uk	uk	PROPN
ejpam-6488	376	59	(	(	PUNCT
ejpam-6488	376	60	x	x	PROPN
ejpam-6488	376	61	,	,	PUNCT
ejpam-6488	376	62	t	t	PROPN
ejpam-6488	376	63	)	)	PUNCT
ejpam-6488	376	64	∈	∈	PROPN
ejpam-6488	376	65	c∞	c∞	PROPN
ejpam-6488	376	66	(	(	PUNCT
ejpam-6488	376	67	[	[	X
ejpam-6488	376	68	x0	x0	PROPN
ejpam-6488	376	69	,	,	PUNCT
ejpam-6488	376	70	x]×	x]×	NOUN
ejpam-6488	377	1	[	[	X
ejpam-6488	377	2	0	0	NUM
ejpam-6488	377	3	,	,	PUNCT
ejpam-6488	377	4	t	t	X
ejpam-6488	377	5	]	]	PUNCT
ejpam-6488	377	6	,	,	PUNCT
ejpam-6488	377	7	c	c	X
ejpam-6488	377	8	)	)	PUNCT
ejpam-6488	377	9	,	,	PUNCT
ejpam-6488	377	10	k	k	X
ejpam-6488	377	11	=	=	SYM
ejpam-6488	377	12	0	0	NUM
ejpam-6488	377	13	,	,	PUNCT
ejpam-6488	377	14	2	2	NUM
ejpam-6488	377	15	.	.	PUNCT
ejpam-6488	378	1	this	this	DET
ejpam-6488	378	2	extension	extension	NOUN
ejpam-6488	378	3	has	have	VERB
ejpam-6488	378	4	the	the	DET
ejpam-6488	378	5	form	form	NOUN
ejpam-6488	378	6	j̃u(x	j̃u(x	NOUN
ejpam-6488	378	7	,	,	PUNCT
ejpam-6488	378	8	t	t	PROPN
ejpam-6488	378	9	,	,	PUNCT
ejpam-6488	378	10	τ	τ	PROPN
ejpam-6488	378	11	,	,	PUNCT
ejpam-6488	378	12	ε	ε	PROPN
ejpam-6488	378	13	)	)	PUNCT
ejpam-6488	378	14	=	=	PUNCT
ejpam-6488	379	1	∞∑	∞∑	NUM
ejpam-6488	379	2	r=0	r=0	ADJ
ejpam-6488	379	3	εr	εr	X
ejpam-6488	379	4	r∑	r∑	X
ejpam-6488	379	5	s=0	s=0	X
ejpam-6488	379	6	rr−sus(x	rr−sus(x	PROPN
ejpam-6488	379	7	,	,	PUNCT
ejpam-6488	379	8	t	t	PROPN
ejpam-6488	379	9	,	,	PUNCT
ejpam-6488	379	10	τ	τ	PROPN
ejpam-6488	379	11	)	)	PUNCT
ejpam-6488	379	12	where	where	SCONJ
ejpam-6488	379	13	the	the	DET
ejpam-6488	379	14	operators	operator	NOUN
ejpam-6488	379	15	rν	rν	VERB
ejpam-6488	379	16	:	:	PUNCT
ejpam-6488	379	17	u	u	PROPN
ejpam-6488	379	18	→	→	SYM
ejpam-6488	379	19	u	u	NOUN
ejpam-6488	379	20	are	be	AUX
ejpam-6488	379	21	calculated	calculate	VERB
ejpam-6488	379	22	by	by	ADP
ejpam-6488	379	23	the	the	DET
ejpam-6488	379	24	formulas	formula	NOUN
ejpam-6488	379	25	:	:	PUNCT
ejpam-6488	379	26	r0u(x	r0u(x	PROPN
ejpam-6488	379	27	,	,	PUNCT
ejpam-6488	379	28	t	t	PROPN
ejpam-6488	379	29	,	,	PUNCT
ejpam-6488	379	30	τ	τ	X
ejpam-6488	379	31	)	)	PUNCT
ejpam-6488	379	32	=	=	PUNCT
ejpam-6488	380	1	x∫	x∫	NUM
ejpam-6488	380	2	x0	x0	PROPN
ejpam-6488	380	3	xtsu0(s	xtsu0(s	PROPN
ejpam-6488	380	4	,	,	PUNCT
ejpam-6488	380	5	t)ds	t)ds	PROPN
ejpam-6488	380	6	,	,	PUNCT
ejpam-6488	380	7	r1u(x	r1u(x	PROPN
ejpam-6488	380	8	,	,	PUNCT
ejpam-6488	380	9	t	t	PROPN
ejpam-6488	380	10	,	,	PUNCT
ejpam-6488	380	11	τ	τ	X
ejpam-6488	380	12	)	)	PUNCT
ejpam-6488	380	13	=	=	SYM
ejpam-6488	381	1	2∑	2∑	NUM
ejpam-6488	381	2	j=1	j=1	NOUN
ejpam-6488	381	3	[	[	PUNCT
ejpam-6488	381	4	x2t·uj(x	x2t·uj(x	PROPN
ejpam-6488	381	5	,	,	PUNCT
ejpam-6488	381	6	t	t	PROPN
ejpam-6488	381	7	)	)	PUNCT
ejpam-6488	381	8	λj(x	λj(x	X
ejpam-6488	381	9	)	)	PUNCT
ejpam-6488	381	10	eτj	eτj	ADJ
ejpam-6488	381	11	−	−	PROPN
ejpam-6488	381	12	xtx0·uj(x0,t	xtx0·uj(x0,t	NOUN
ejpam-6488	381	13	)	)	PUNCT
ejpam-6488	381	14	λj(x0	λj(x0	NOUN
ejpam-6488	381	15	)	)	PUNCT
ejpam-6488	381	16	]	]	PUNCT
ejpam-6488	381	17	,	,	PUNCT
ejpam-6488	381	18	.......	.......	PUNCT
ejpam-6488	381	19	m.	m.	NOUN
ejpam-6488	381	20	begaidarov	begaidarov	PROPN
ejpam-6488	381	21	,	,	PUNCT
ejpam-6488	381	22	d.	d.	PROPN
ejpam-6488	381	23	bibulova	bibulova	PROPN
ejpam-6488	381	24	,	,	PUNCT
ejpam-6488	381	25	b.	b.	PROPN
ejpam-6488	381	26	kalimbetov	kalimbetov	PROPN
ejpam-6488	381	27	/	/	SYM
ejpam-6488	381	28	eur	eur	PROPN
ejpam-6488	381	29	.	.	PUNCT
ejpam-6488	382	1	j.	j.	PROPN
ejpam-6488	382	2	pure	pure	PROPN
ejpam-6488	382	3	appl	appl	PROPN
ejpam-6488	382	4	.	.	PROPN
ejpam-6488	382	5	math	math	PROPN
ejpam-6488	382	6	,	,	PUNCT
ejpam-6488	382	7	18	18	NUM
ejpam-6488	382	8	(	(	PUNCT
ejpam-6488	382	9	4	4	NUM
ejpam-6488	382	10	)	)	PUNCT
ejpam-6488	382	11	(	(	PUNCT
ejpam-6488	382	12	2025	2025	NUM
ejpam-6488	382	13	)	)	PUNCT
ejpam-6488	382	14	,	,	PUNCT
ejpam-6488	382	15	6488	6488	NUM
ejpam-6488	382	16	17	17	NUM
ejpam-6488	382	17	of	of	ADP
ejpam-6488	382	18	20	20	NUM
ejpam-6488	382	19	(	(	PUNCT
ejpam-6488	382	20	operators	operator	NOUN
ejpam-6488	382	21	rν	rν	PROPN
ejpam-6488	382	22	at	at	ADP
ejpam-6488	382	23	ν	ν	PROPN
ejpam-6488	382	24	≥	≥	NUM
ejpam-6488	382	25	2	2	NUM
ejpam-6488	382	26	we	we	PRON
ejpam-6488	382	27	do	do	AUX
ejpam-6488	382	28	not	not	PART
ejpam-6488	382	29	write	write	VERB
ejpam-6488	382	30	out	out	ADP
ejpam-6488	382	31	,	,	PUNCT
ejpam-6488	382	32	because	because	SCONJ
ejpam-6488	382	33	we	we	PRON
ejpam-6488	382	34	do	do	AUX
ejpam-6488	382	35	not	not	PART
ejpam-6488	382	36	need	need	VERB
ejpam-6488	382	37	them	they	PRON
ejpam-6488	382	38	when	when	SCONJ
ejpam-6488	382	39	constructing	construct	VERB
ejpam-6488	382	40	the	the	DET
ejpam-6488	382	41	leading	lead	VERB
ejpam-6488	382	42	term	term	NOUN
ejpam-6488	382	43	of	of	ADP
ejpam-6488	382	44	the	the	DET
ejpam-6488	382	45	asymptotics	asymptotic	NOUN
ejpam-6488	382	46	)	)	PUNCT
ejpam-6488	382	47	.	.	PUNCT
ejpam-6488	383	1	defining	define	VERB
ejpam-6488	383	2	the	the	DET
ejpam-6488	383	3	solution	solution	NOUN
ejpam-6488	383	4	of	of	ADP
ejpam-6488	383	5	the	the	DET
ejpam-6488	383	6	problem	problem	NOUN
ejpam-6488	383	7	(	(	PUNCT
ejpam-6488	383	8	5.5	5.5	NUM
ejpam-6488	383	9	)	)	PUNCT
ejpam-6488	383	10	in	in	ADP
ejpam-6488	383	11	the	the	DET
ejpam-6488	383	12	form	form	NOUN
ejpam-6488	383	13	of	of	ADP
ejpam-6488	383	14	series	series	NOUN
ejpam-6488	383	15	(	(	PUNCT
ejpam-6488	383	16	5.6	5.6	NUM
ejpam-6488	383	17	)	)	PUNCT
ejpam-6488	383	18	,	,	PUNCT
ejpam-6488	383	19	we	we	PRON
ejpam-6488	383	20	obtain	obtain	VERB
ejpam-6488	383	21	the	the	DET
ejpam-6488	383	22	following	following	ADJ
ejpam-6488	383	23	iterative	iterative	NOUN
ejpam-6488	383	24	problems	problem	NOUN
ejpam-6488	383	25	:	:	PUNCT
ejpam-6488	383	26	lu0	lu0	PROPN
ejpam-6488	383	27	≡	≡	PROPN
ejpam-6488	383	28	λ1	λ1	PROPN
ejpam-6488	383	29	∂u0	∂u0	PROPN
ejpam-6488	383	30	∂τ1	∂τ1	NOUN
ejpam-6488	383	31	+	+	CCONJ
ejpam-6488	383	32	λ2	λ2	NOUN
ejpam-6488	383	33	∂u0	∂u0	NOUN
ejpam-6488	383	34	∂τ2	∂τ2	PROPN
ejpam-6488	383	35	−	−	PROPN
ejpam-6488	384	1	λ1u0	λ1u0	PUNCT
ejpam-6488	384	2	−ru0	−ru0	NOUN
ejpam-6488	384	3	=	=	SYM
ejpam-6488	384	4	=	=	SYM
ejpam-6488	384	5	h1	h1	ADJ
ejpam-6488	384	6	(	(	PUNCT
ejpam-6488	384	7	x	x	NOUN
ejpam-6488	384	8	,	,	PUNCT
ejpam-6488	384	9	t	t	PROPN
ejpam-6488	384	10	)	)	PUNCT
ejpam-6488	384	11	+	+	NUM
ejpam-6488	384	12	h2	h2	NOUN
ejpam-6488	384	13	(	(	PUNCT
ejpam-6488	384	14	x	x	PROPN
ejpam-6488	384	15	,	,	PUNCT
ejpam-6488	384	16	t	t	PROPN
ejpam-6488	384	17	)	)	PUNCT
ejpam-6488	384	18	e	e	X
ejpam-6488	384	19	τ2σ	τ2σ	PROPN
ejpam-6488	384	20	,	,	PUNCT
ejpam-6488	384	21	u0	u0	PROPN
ejpam-6488	384	22	(	(	PUNCT
ejpam-6488	384	23	x0	x0	PROPN
ejpam-6488	384	24	,	,	PUNCT
ejpam-6488	384	25	t	t	PROPN
ejpam-6488	384	26	,	,	PUNCT
ejpam-6488	384	27	τ	τ	PROPN
ejpam-6488	384	28	)	)	PUNCT
ejpam-6488	384	29	|τ=0	|τ=0	PROPN
ejpam-6488	384	30	=	=	SYM
ejpam-6488	384	31	y0(t	y0(t	PROPN
ejpam-6488	384	32	)	)	PUNCT
ejpam-6488	384	33	;	;	PUNCT
ejpam-6488	384	34	(	(	PUNCT
ejpam-6488	384	35	5.7	5.7	X
ejpam-6488	384	36	)	)	PUNCT
ejpam-6488	384	37	lu1	lu1	PROPN
ejpam-6488	384	38	=	=	SYM
ejpam-6488	385	1	−∂u0	−∂u0	ADP
ejpam-6488	385	2	∂x	∂x	PROPN
ejpam-6488	385	3	+	+	PROPN
ejpam-6488	385	4	r1y0	r1y0	PROPN
ejpam-6488	385	5	,	,	PUNCT
ejpam-6488	385	6	u1	u1	PROPN
ejpam-6488	385	7	(	(	PUNCT
ejpam-6488	385	8	x0	x0	PROPN
ejpam-6488	385	9	,	,	PUNCT
ejpam-6488	385	10	t	t	PROPN
ejpam-6488	385	11	,	,	PUNCT
ejpam-6488	385	12	0	0	NUM
ejpam-6488	385	13	)	)	PUNCT
ejpam-6488	385	14	=	=	SYM
ejpam-6488	385	15	0	0	NUM
ejpam-6488	385	16	;	;	PUNCT
ejpam-6488	385	17	(	(	PUNCT
ejpam-6488	385	18	5.8	5.8	NUM
ejpam-6488	385	19	)	)	PUNCT
ejpam-6488	385	20	...	...	PUNCT
ejpam-6488	386	1	the	the	DET
ejpam-6488	386	2	solution	solution	NOUN
ejpam-6488	386	3	of	of	ADP
ejpam-6488	386	4	the	the	DET
ejpam-6488	386	5	first	first	ADJ
ejpam-6488	386	6	iterative	iterative	NOUN
ejpam-6488	386	7	problem	problem	NOUN
ejpam-6488	386	8	(	(	PUNCT
ejpam-6488	386	9	5.7	5.7	NUM
ejpam-6488	386	10	)	)	PUNCT
ejpam-6488	386	11	will	will	AUX
ejpam-6488	386	12	be	be	AUX
ejpam-6488	386	13	as	as	SCONJ
ejpam-6488	386	14	follows	follow	VERB
ejpam-6488	386	15	:	:	PUNCT
ejpam-6488	386	16	u0	u0	ADJ
ejpam-6488	386	17	(	(	PUNCT
ejpam-6488	386	18	x	x	PROPN
ejpam-6488	386	19	,	,	PUNCT
ejpam-6488	386	20	t	t	PROPN
ejpam-6488	386	21	,	,	PUNCT
ejpam-6488	386	22	τ	τ	X
ejpam-6488	386	23	)	)	PUNCT
ejpam-6488	387	1	=	=	SYM
ejpam-6488	387	2	u0	u0	ADJ
ejpam-6488	387	3	(	(	PUNCT
ejpam-6488	387	4	x	x	NOUN
ejpam-6488	387	5	,	,	PUNCT
ejpam-6488	387	6	t	t	PROPN
ejpam-6488	387	7	)	)	PUNCT
ejpam-6488	387	8	+	+	NUM
ejpam-6488	387	9	α1	α1	PROPN
ejpam-6488	387	10	(	(	PUNCT
ejpam-6488	387	11	x	x	NOUN
ejpam-6488	387	12	,	,	PUNCT
ejpam-6488	387	13	t	t	PROPN
ejpam-6488	387	14	)	)	PUNCT
ejpam-6488	387	15	e	e	NOUN
ejpam-6488	387	16	τ1	τ1	NOUN
ejpam-6488	387	17	+	+	CCONJ
ejpam-6488	387	18	(	(	PUNCT
ejpam-6488	387	19	λ2(x)−	λ2(x)−	PROPN
ejpam-6488	387	20	λ1	λ1	PROPN
ejpam-6488	387	21	)	)	PUNCT
ejpam-6488	387	22	−1	−1	NOUN
ejpam-6488	387	23	h2(x	h2(x	PROPN
ejpam-6488	387	24	,	,	PUNCT
ejpam-6488	387	25	t)e	t)e	NOUN
ejpam-6488	387	26	τ2	τ2	NOUN
ejpam-6488	387	27	(	(	PUNCT
ejpam-6488	387	28	5.9	5.9	NUM
ejpam-6488	387	29	)	)	PUNCT
ejpam-6488	387	30	where	where	SCONJ
ejpam-6488	387	31	α1	α1	PROPN
ejpam-6488	387	32	(	(	PUNCT
ejpam-6488	387	33	x	x	NOUN
ejpam-6488	387	34	,	,	PUNCT
ejpam-6488	387	35	t	t	PROPN
ejpam-6488	387	36	)	)	PUNCT
ejpam-6488	387	37	∈	∈	PROPN
ejpam-6488	387	38	c∞[x0	c∞[x0	ADV
ejpam-6488	387	39	,	,	PUNCT
ejpam-6488	387	40	x]×	x]×	PROPN
ejpam-6488	388	1	[	[	X
ejpam-6488	388	2	t0	t0	PROPN
ejpam-6488	388	3	,	,	PUNCT
ejpam-6488	388	4	t	t	PROPN
ejpam-6488	388	5	]	]	PUNCT
ejpam-6488	388	6	are	be	AUX
ejpam-6488	388	7	arbitrary	arbitrary	ADJ
ejpam-6488	388	8	function	function	NOUN
ejpam-6488	388	9	,	,	PUNCT
ejpam-6488	388	10	u0	u0	ADJ
ejpam-6488	388	11	(	(	PUNCT
ejpam-6488	388	12	x	x	NOUN
ejpam-6488	388	13	,	,	PUNCT
ejpam-6488	388	14	t	t	PROPN
ejpam-6488	388	15	)	)	PUNCT
ejpam-6488	388	16	is	be	AUX
ejpam-6488	388	17	the	the	DET
ejpam-6488	388	18	solution	solution	NOUN
ejpam-6488	388	19	of	of	ADP
ejpam-6488	388	20	the	the	DET
ejpam-6488	388	21	integral	integral	ADJ
ejpam-6488	388	22	equation	equation	NOUN
ejpam-6488	388	23	−u0	−u0	NOUN
ejpam-6488	388	24	(	(	PUNCT
ejpam-6488	388	25	x	x	X
ejpam-6488	388	26	,	,	PUNCT
ejpam-6488	388	27	t)−	t)−	PROPN
ejpam-6488	388	28	x	x	PUNCT
ejpam-6488	389	1	x∫	x∫	ADJ
ejpam-6488	389	2	x0	x0	PROPN
ejpam-6488	389	3	tsu0	tsu0	PROPN
ejpam-6488	389	4	(	(	PUNCT
ejpam-6488	389	5	s	s	PROPN
ejpam-6488	389	6	,	,	PUNCT
ejpam-6488	389	7	t	t	NOUN
ejpam-6488	389	8	)	)	PUNCT
ejpam-6488	389	9	ds	ds	ADJ
ejpam-6488	389	10	=	=	SYM
ejpam-6488	389	11	2xt	2xt	NOUN
ejpam-6488	389	12	.	.	PUNCT
ejpam-6488	390	1	(	(	PUNCT
ejpam-6488	390	2	5.10	5.10	NUM
ejpam-6488	390	3	)	)	PUNCT
ejpam-6488	390	4	subordinate	subordinate	NOUN
ejpam-6488	390	5	(	(	PUNCT
ejpam-6488	390	6	5.8	5.8	NUM
ejpam-6488	390	7	)	)	PUNCT
ejpam-6488	390	8	to	to	ADP
ejpam-6488	390	9	the	the	DET
ejpam-6488	390	10	initial	initial	ADJ
ejpam-6488	390	11	condition	condition	NOUN
ejpam-6488	390	12	u0	u0	ADJ
ejpam-6488	390	13	(	(	PUNCT
ejpam-6488	390	14	x	x	PROPN
ejpam-6488	390	15	,	,	PUNCT
ejpam-6488	390	16	t	t	PROPN
ejpam-6488	390	17	,	,	PUNCT
ejpam-6488	390	18	τ	τ	PROPN
ejpam-6488	390	19	)	)	PUNCT
ejpam-6488	390	20	|x	|x	NOUN
ejpam-6488	390	21	=	=	SYM
ejpam-6488	390	22	x0,τ=0	x0,τ=0	PROPN
ejpam-6488	390	23	=	=	SYM
ejpam-6488	390	24	y0(t	y0(t	PROPN
ejpam-6488	390	25	)	)	PUNCT
ejpam-6488	390	26	.	.	PUNCT
ejpam-6488	391	1	taking	take	VERB
ejpam-6488	391	2	into	into	ADP
ejpam-6488	391	3	account	account	NOUN
ejpam-6488	391	4	the	the	DET
ejpam-6488	391	5	form	form	NOUN
ejpam-6488	391	6	of	of	ADP
ejpam-6488	391	7	function	function	NOUN
ejpam-6488	391	8	(	(	PUNCT
ejpam-6488	391	9	5.10	5.10	NUM
ejpam-6488	391	10	)	)	PUNCT
ejpam-6488	391	11	and	and	CCONJ
ejpam-6488	391	12	h2	h2	PROPN
ejpam-6488	391	13	(	(	PUNCT
ejpam-6488	391	14	x	x	PROPN
ejpam-6488	391	15	,	,	PUNCT
ejpam-6488	391	16	t	t	PROPN
ejpam-6488	391	17	)	)	PUNCT
ejpam-6488	391	18	,	,	PUNCT
ejpam-6488	391	19	we	we	PRON
ejpam-6488	391	20	obtain	obtain	VERB
ejpam-6488	391	21	the	the	DET
ejpam-6488	391	22	equation	equation	NOUN
ejpam-6488	391	23	α1	α1	PROPN
ejpam-6488	391	24	(	(	PUNCT
ejpam-6488	391	25	x0	x0	PROPN
ejpam-6488	391	26	,	,	PUNCT
ejpam-6488	391	27	t	t	PROPN
ejpam-6488	391	28	)	)	PUNCT
ejpam-6488	391	29	=	=	PUNCT
ejpam-6488	392	1	y0(t	y0(t	PROPN
ejpam-6488	392	2	)	)	PUNCT
ejpam-6488	392	3	.	.	PUNCT
ejpam-6488	393	1	for	for	ADP
ejpam-6488	393	2	a	a	DET
ejpam-6488	393	3	complete	complete	ADJ
ejpam-6488	393	4	calculation	calculation	NOUN
ejpam-6488	393	5	of	of	ADP
ejpam-6488	393	6	the	the	DET
ejpam-6488	393	7	functions	function	NOUN
ejpam-6488	393	8	α1	α1	PROPN
ejpam-6488	393	9	(	(	PUNCT
ejpam-6488	393	10	x	x	X
ejpam-6488	393	11	,	,	PUNCT
ejpam-6488	393	12	t	t	PROPN
ejpam-6488	393	13	)	)	PUNCT
ejpam-6488	393	14	,	,	PUNCT
ejpam-6488	393	15	we	we	PRON
ejpam-6488	393	16	pass	pass	VERB
ejpam-6488	393	17	to	to	ADP
ejpam-6488	393	18	the	the	DET
ejpam-6488	393	19	next	next	ADJ
ejpam-6488	393	20	iterative	iterative	NOUN
ejpam-6488	393	21	problem	problem	NOUN
ejpam-6488	393	22	(	(	PUNCT
ejpam-6488	393	23	5.8	5.8	NUM
ejpam-6488	393	24	)	)	PUNCT
ejpam-6488	393	25	.	.	PUNCT
ejpam-6488	394	1	taking	take	VERB
ejpam-6488	394	2	into	into	ADP
ejpam-6488	394	3	account	account	NOUN
ejpam-6488	394	4	that	that	SCONJ
ejpam-6488	394	5	under	under	ADP
ejpam-6488	394	6	the	the	DET
ejpam-6488	394	7	conditions	condition	NOUN
ejpam-6488	394	8	of	of	ADP
ejpam-6488	394	9	solvability	solvability	NOUN
ejpam-6488	394	10	(	(	PUNCT
ejpam-6488	394	11	3.2	3.2	NUM
ejpam-6488	394	12	)	)	PUNCT
ejpam-6488	394	13	of	of	ADP
ejpam-6488	394	14	problem	problem	NOUN
ejpam-6488	394	15	(	(	PUNCT
ejpam-6488	394	16	5.8	5.8	NUM
ejpam-6488	394	17	)	)	PUNCT
ejpam-6488	394	18	only	only	ADV
ejpam-6488	394	19	exponentials	exponential	VERB
ejpam-6488	394	20	eτ1	eτ1	NOUN
ejpam-6488	394	21	and	and	CCONJ
ejpam-6488	394	22	eτ2	eτ2	PROPN
ejpam-6488	394	23	are	be	AUX
ejpam-6488	394	24	involved	involve	VERB
ejpam-6488	394	25	we	we	PRON
ejpam-6488	394	26	keep	keep	VERB
ejpam-6488	394	27	in	in	ADP
ejpam-6488	394	28	its	its	PRON
ejpam-6488	394	29	right	right	ADJ
ejpam-6488	394	30	-	-	PUNCT
ejpam-6488	394	31	hand	hand	NOUN
ejpam-6488	394	32	side	side	NOUN
ejpam-6488	395	1	only	only	ADV
ejpam-6488	395	2	terms	term	NOUN
ejpam-6488	395	3	depending	depend	VERB
ejpam-6488	395	4	on	on	ADP
ejpam-6488	395	5	these	these	DET
ejpam-6488	395	6	exponentials	exponential	NOUN
ejpam-6488	395	7	:	:	PUNCT
ejpam-6488	395	8	−∂	−∂	PROPN
ejpam-6488	395	9	(	(	PUNCT
ejpam-6488	395	10	α1(x	α1(x	PROPN
ejpam-6488	395	11	,	,	PUNCT
ejpam-6488	395	12	t	t	PROPN
ejpam-6488	395	13	)	)	PUNCT
ejpam-6488	395	14	)	)	PUNCT
ejpam-6488	396	1	∂x	∂x	PROPN
ejpam-6488	396	2	eτ1	eτ1	NOUN
ejpam-6488	397	1	−	−	NOUN
ejpam-6488	397	2	x2	x2	PROPN
ejpam-6488	397	3	t	t	PROPN
ejpam-6488	397	4	·	·	PUNCT
ejpam-6488	397	5	α1	α1	PROPN
ejpam-6488	397	6	(	(	PUNCT
ejpam-6488	397	7	x	x	X
ejpam-6488	397	8	,	,	PUNCT
ejpam-6488	397	9	t	t	PROPN
ejpam-6488	397	10	)	)	PUNCT
ejpam-6488	397	11	e	e	NOUN
ejpam-6488	397	12	τ1	τ1	NOUN
ejpam-6488	397	13	=	=	SYM
ejpam-6488	397	14	0	0	NUM
ejpam-6488	397	15	.	.	PUNCT
ejpam-6488	398	1	we	we	PRON
ejpam-6488	398	2	will	will	AUX
ejpam-6488	398	3	have	have	VERB
ejpam-6488	398	4	α̇1	α̇1	PROPN
ejpam-6488	398	5	(	(	PUNCT
ejpam-6488	398	6	x	x	PROPN
ejpam-6488	398	7	,	,	PUNCT
ejpam-6488	398	8	t	t	PROPN
ejpam-6488	398	9	)	)	PUNCT
ejpam-6488	399	1	+	+	CCONJ
ejpam-6488	399	2	x2	x2	PROPN
ejpam-6488	399	3	t	t	NOUN
ejpam-6488	399	4	·	·	PUNCT
ejpam-6488	399	5	α1	α1	PROPN
ejpam-6488	399	6	(	(	PUNCT
ejpam-6488	399	7	x	x	X
ejpam-6488	399	8	,	,	PUNCT
ejpam-6488	399	9	t	t	PROPN
ejpam-6488	399	10	)	)	PUNCT
ejpam-6488	399	11	=	=	SYM
ejpam-6488	399	12	0	0	NUM
ejpam-6488	399	13	or	or	CCONJ
ejpam-6488	399	14	α̇1	α̇1	PROPN
ejpam-6488	399	15	(	(	PUNCT
ejpam-6488	399	16	x	x	PROPN
ejpam-6488	399	17	,	,	PUNCT
ejpam-6488	399	18	t	t	PROPN
ejpam-6488	399	19	)	)	PUNCT
ejpam-6488	399	20	=	=	PUNCT
ejpam-6488	400	1	−x2	−x2	PROPN
ejpam-6488	400	2	t	t	NOUN
ejpam-6488	400	3	·	·	SYM
ejpam-6488	400	4	α1	α1	PROPN
ejpam-6488	400	5	(	(	PUNCT
ejpam-6488	400	6	x	x	X
ejpam-6488	400	7	,	,	PUNCT
ejpam-6488	400	8	t	t	PROPN
ejpam-6488	400	9	)	)	PUNCT
ejpam-6488	400	10	.	.	PUNCT
ejpam-6488	401	1	adding	add	VERB
ejpam-6488	401	2	to	to	ADP
ejpam-6488	401	3	these	these	DET
ejpam-6488	401	4	equations	equation	NOUN
ejpam-6488	401	5	the	the	DET
ejpam-6488	401	6	initial	initial	ADJ
ejpam-6488	401	7	conditions	condition	NOUN
ejpam-6488	401	8	α1	α1	PROPN
ejpam-6488	401	9	(	(	PUNCT
ejpam-6488	401	10	x0	x0	PROPN
ejpam-6488	401	11	,	,	PUNCT
ejpam-6488	401	12	t	t	PROPN
ejpam-6488	401	13	)	)	PUNCT
ejpam-6488	401	14	=	=	SYM
ejpam-6488	402	1	y0(t	y0(t	PROPN
ejpam-6488	402	2	)	)	PUNCT
ejpam-6488	402	3	,	,	PUNCT
ejpam-6488	402	4	found	find	VERB
ejpam-6488	402	5	earlier	early	ADV
ejpam-6488	402	6	,	,	PUNCT
ejpam-6488	402	7	we	we	PRON
ejpam-6488	402	8	uniquely	uniquely	ADV
ejpam-6488	402	9	find	find	VERB
ejpam-6488	402	10	the	the	DET
ejpam-6488	402	11	functions	function	NOUN
ejpam-6488	402	12	α1	α1	PROPN
ejpam-6488	402	13	(	(	PUNCT
ejpam-6488	402	14	x	x	X
ejpam-6488	402	15	,	,	PUNCT
ejpam-6488	402	16	t	t	PROPN
ejpam-6488	402	17	)	)	PUNCT
ejpam-6488	402	18	=	=	SYM
ejpam-6488	402	19	y0(t)e−	y0(t)e−	NOUN
ejpam-6488	402	20	x3	x3	VERB
ejpam-6488	402	21	3	3	NUM
ejpam-6488	402	22	t	t	NOUN
ejpam-6488	402	23	and	and	CCONJ
ejpam-6488	402	24	hence	hence	ADV
ejpam-6488	402	25	,	,	PUNCT
ejpam-6488	402	26	we	we	PRON
ejpam-6488	402	27	will	will	AUX
ejpam-6488	402	28	uniquely	uniquely	ADV
ejpam-6488	402	29	construct	construct	VERB
ejpam-6488	402	30	solution	solution	NOUN
ejpam-6488	402	31	(	(	PUNCT
ejpam-6488	402	32	5.9	5.9	NUM
ejpam-6488	402	33	)	)	PUNCT
ejpam-6488	402	34	of	of	ADP
ejpam-6488	402	35	the	the	DET
ejpam-6488	402	36	first	first	ADJ
ejpam-6488	402	37	iterative	iterative	NOUN
ejpam-6488	402	38	problem	problem	NOUN
ejpam-6488	402	39	(	(	PUNCT
ejpam-6488	402	40	5.7	5.7	NUM
ejpam-6488	402	41	)	)	PUNCT
ejpam-6488	402	42	.	.	PUNCT
ejpam-6488	403	1	making	make	VERB
ejpam-6488	403	2	a	a	DET
ejpam-6488	403	3	narrowing	narrowing	NOUN
ejpam-6488	403	4	in	in	ADP
ejpam-6488	403	5	it	it	PRON
ejpam-6488	403	6	at	at	ADP
ejpam-6488	403	7	τ1	τ1	NOUN
ejpam-6488	403	8	=	=	SYM
ejpam-6488	403	9	−x−x0	−x−x0	NOUN
ejpam-6488	403	10	ε	ε	X
ejpam-6488	403	11	,	,	PUNCT
ejpam-6488	403	12	τ2	τ2	NOUN
ejpam-6488	403	13	=	=	PUNCT
ejpam-6488	404	1	i	i	NOUN
ejpam-6488	404	2	ε	ε	VERB
ejpam-6488	404	3	[	[	PUNCT
ejpam-6488	404	4	(	(	PUNCT
ejpam-6488	404	5	x−	x−	PROPN
ejpam-6488	404	6	x0	x0	PROPN
ejpam-6488	405	1	+	+	CCONJ
ejpam-6488	406	1	x3	x3	ADJ
ejpam-6488	406	2	−	−	PROPN
ejpam-6488	406	3	x0	x0	PROPN
ejpam-6488	406	4	3	3	NUM
ejpam-6488	406	5	)	)	PUNCT
ejpam-6488	406	6	]	]	PUNCT
ejpam-6488	406	7	,	,	PUNCT
ejpam-6488	406	8	we	we	PRON
ejpam-6488	406	9	obtain	obtain	VERB
ejpam-6488	406	10	the	the	DET
ejpam-6488	406	11	leading	lead	VERB
ejpam-6488	406	12	term	term	NOUN
ejpam-6488	406	13	of	of	ADP
ejpam-6488	406	14	the	the	DET
ejpam-6488	406	15	asymptotic	asymptotic	ADJ
ejpam-6488	406	16	solution	solution	NOUN
ejpam-6488	406	17	of	of	ADP
ejpam-6488	406	18	the	the	DET
ejpam-6488	406	19	problem	problem	NOUN
ejpam-6488	406	20	(	(	PUNCT
ejpam-6488	406	21	23	23	NUM
ejpam-6488	406	22	):	):	PUNCT
ejpam-6488	406	23	yε0	yε0	PROPN
ejpam-6488	406	24	(	(	PUNCT
ejpam-6488	406	25	x	x	NOUN
ejpam-6488	406	26	,	,	PUNCT
ejpam-6488	406	27	t	t	PROPN
ejpam-6488	406	28	)	)	PUNCT
ejpam-6488	406	29	=	=	SYM
ejpam-6488	407	1	y0	y0	NOUN
ejpam-6488	407	2	(	(	PUNCT
ejpam-6488	407	3	x	x	NOUN
ejpam-6488	407	4	,	,	PUNCT
ejpam-6488	407	5	t	t	PROPN
ejpam-6488	407	6	)	)	PUNCT
ejpam-6488	407	7	+	+	CCONJ
ejpam-6488	407	8	u0(t)e−	u0(t)e−	NOUN
ejpam-6488	407	9	x3	x3	VERB
ejpam-6488	407	10	3	3	NUM
ejpam-6488	407	11	te−	te−	NUM
ejpam-6488	407	12	x−x0	x−x0	NOUN
ejpam-6488	407	13	ε	ε	PROPN
ejpam-6488	407	14	+	+	CCONJ
ejpam-6488	407	15	[	[	PUNCT
ejpam-6488	407	16	i(1	i(1	PROPN
ejpam-6488	407	17	+	+	X
ejpam-6488	407	18	3x2)−	3x2)−	NUM
ejpam-6488	407	19	1	1	NUM
ejpam-6488	407	20	]	]	PUNCT
ejpam-6488	407	21	xte	xte	X
ejpam-6488	408	1	i	i	PRON
ejpam-6488	408	2	ε	ε	VERB
ejpam-6488	409	1	[	[	X
ejpam-6488	409	2	(	(	PUNCT
ejpam-6488	409	3	x−x0+x	x−x0+x	NOUN
ejpam-6488	409	4	3−x03	3−x03	NUM
ejpam-6488	409	5	)	)	PUNCT
ejpam-6488	409	6	]	]	X
ejpam-6488	409	7	(	(	PUNCT
ejpam-6488	409	8	5.11	5.11	NUM
ejpam-6488	409	9	)	)	PUNCT
ejpam-6488	409	10	where	where	SCONJ
ejpam-6488	409	11	u0	u0	ADJ
ejpam-6488	409	12	(	(	PUNCT
ejpam-6488	409	13	x	x	PROPN
ejpam-6488	409	14	,	,	PUNCT
ejpam-6488	409	15	t	t	PROPN
ejpam-6488	409	16	)	)	PUNCT
ejpam-6488	409	17	is	be	AUX
ejpam-6488	409	18	the	the	DET
ejpam-6488	409	19	solution	solution	NOUN
ejpam-6488	409	20	of	of	ADP
ejpam-6488	409	21	the	the	DET
ejpam-6488	409	22	integral	integral	ADJ
ejpam-6488	409	23	equation	equation	NOUN
ejpam-6488	409	24	(	(	PUNCT
ejpam-6488	409	25	5.10	5.10	NUM
ejpam-6488	409	26	)	)	PUNCT
ejpam-6488	409	27	.	.	PUNCT
ejpam-6488	410	1	it	it	PRON
ejpam-6488	410	2	is	be	AUX
ejpam-6488	410	3	seen	see	VERB
ejpam-6488	410	4	from	from	ADP
ejpam-6488	410	5	(	(	PUNCT
ejpam-6488	410	6	5.11	5.11	NUM
ejpam-6488	410	7	)	)	PUNCT
ejpam-6488	410	8	that	that	PRON
ejpam-6488	410	9	,	,	PUNCT
ejpam-6488	410	10	at	at	ADP
ejpam-6488	410	11	the	the	DET
ejpam-6488	410	12	exact	exact	ADJ
ejpam-6488	410	13	solution	solution	NOUN
ejpam-6488	410	14	y	y	PROPN
ejpam-6488	410	15	(	(	PUNCT
ejpam-6488	410	16	x	x	PROPN
ejpam-6488	410	17	,	,	PUNCT
ejpam-6488	410	18	t	t	PROPN
ejpam-6488	410	19	,	,	PUNCT
ejpam-6488	410	20	ε	ε	PROPN
ejpam-6488	410	21	)	)	PUNCT
ejpam-6488	410	22	of	of	ADP
ejpam-6488	410	23	the	the	DET
ejpam-6488	410	24	problem	problem	NOUN
ejpam-6488	410	25	(	(	PUNCT
ejpam-6488	410	26	5.4	5.4	NUM
ejpam-6488	410	27	)	)	PUNCT
ejpam-6488	410	28	does	do	AUX
ejpam-6488	410	29	not	not	PART
ejpam-6488	410	30	tend	tend	VERB
ejpam-6488	410	31	to	to	ADP
ejpam-6488	410	32	the	the	DET
ejpam-6488	410	33	solution	solution	NOUN
ejpam-6488	410	34	y0	y0	PROPN
ejpam-6488	410	35	(	(	PUNCT
ejpam-6488	410	36	x	x	NOUN
ejpam-6488	410	37	,	,	PUNCT
ejpam-6488	410	38	t	t	PROPN
ejpam-6488	410	39	)	)	PUNCT
ejpam-6488	410	40	of	of	ADP
ejpam-6488	410	41	the	the	DET
ejpam-6488	410	42	integral	integral	ADJ
ejpam-6488	410	43	equation	equation	NOUN
ejpam-6488	410	44	(	(	PUNCT
ejpam-6488	410	45	5.10	5.10	NUM
ejpam-6488	410	46	)	)	PUNCT
ejpam-6488	410	47	at	at	ADP
ejpam-6488	410	48	ε→	ε→	PROPN
ejpam-6488	410	49	+0	+0	ADV
ejpam-6488	410	50	,	,	PUNCT
ejpam-6488	410	51	but	but	CCONJ
ejpam-6488	410	52	performs	perform	VERB
ejpam-6488	410	53	quick	quick	ADJ
ejpam-6488	410	54	oscillations	oscillation	NOUN
ejpam-6488	410	55	near	near	ADP
ejpam-6488	410	56	it	it	PRON
ejpam-6488	410	57	.	.	PUNCT
ejpam-6488	411	1	m.	m.	NOUN
ejpam-6488	411	2	begaidarov	begaidarov	PROPN
ejpam-6488	411	3	,	,	PUNCT
ejpam-6488	411	4	d.	d.	PROPN
ejpam-6488	411	5	bibulova	bibulova	PROPN
ejpam-6488	411	6	,	,	PUNCT
ejpam-6488	411	7	b.	b.	PROPN
ejpam-6488	411	8	kalimbetov	kalimbetov	PROPN
ejpam-6488	411	9	/	/	SYM
ejpam-6488	411	10	eur	eur	PROPN
ejpam-6488	411	11	.	.	PUNCT
ejpam-6488	412	1	j.	j.	PROPN
ejpam-6488	412	2	pure	pure	PROPN
ejpam-6488	412	3	appl	appl	PROPN
ejpam-6488	412	4	.	.	PROPN
ejpam-6488	412	5	math	math	PROPN
ejpam-6488	412	6	,	,	PUNCT
ejpam-6488	412	7	18	18	NUM
ejpam-6488	412	8	(	(	PUNCT
ejpam-6488	412	9	4	4	NUM
ejpam-6488	412	10	)	)	PUNCT
ejpam-6488	412	11	(	(	PUNCT
ejpam-6488	412	12	2025	2025	NUM
ejpam-6488	412	13	)	)	PUNCT
ejpam-6488	412	14	,	,	PUNCT
ejpam-6488	412	15	6488	6488	NUM
ejpam-6488	412	16	18	18	NUM
ejpam-6488	412	17	of	of	ADP
ejpam-6488	412	18	20	20	NUM
ejpam-6488	412	19	6	6	NUM
ejpam-6488	412	20	.	.	PUNCT
ejpam-6488	413	1	conclusion	conclusion	NOUN
ejpam-6488	413	2	from	from	ADP
ejpam-6488	413	3	the	the	DET
ejpam-6488	413	4	expression	expression	NOUN
ejpam-6488	413	5	(	(	PUNCT
ejpam-6488	413	6	5.30	5.30	NUM
ejpam-6488	413	7	)	)	PUNCT
ejpam-6488	413	8	for	for	ADP
ejpam-6488	413	9	yε0(t	yε0(t	PROPN
ejpam-6488	413	10	)	)	PUNCT
ejpam-6488	413	11	,	,	PUNCT
ejpam-6488	413	12	it	it	PRON
ejpam-6488	413	13	can	can	AUX
ejpam-6488	413	14	be	be	AUX
ejpam-6488	413	15	seen	see	VERB
ejpam-6488	413	16	that	that	SCONJ
ejpam-6488	413	17	the	the	DET
ejpam-6488	413	18	construction	construction	NOUN
ejpam-6488	413	19	of	of	ADP
ejpam-6488	413	20	the	the	DET
ejpam-6488	413	21	leading	lead	VERB
ejpam-6488	413	22	term	term	NOUN
ejpam-6488	413	23	of	of	ADP
ejpam-6488	413	24	the	the	DET
ejpam-6488	413	25	asymptotics	asymptotic	NOUN
ejpam-6488	413	26	of	of	ADP
ejpam-6488	413	27	the	the	DET
ejpam-6488	413	28	solution	solution	NOUN
ejpam-6488	413	29	to	to	ADP
ejpam-6488	413	30	problem	problem	NOUN
ejpam-6488	413	31	(	(	PUNCT
ejpam-6488	413	32	1.1	1.1	NUM
ejpam-6488	413	33	)	)	PUNCT
ejpam-6488	413	34	is	be	AUX
ejpam-6488	413	35	significantly	significantly	ADV
ejpam-6488	413	36	influenced	influence	VERB
ejpam-6488	413	37	by	by	ADP
ejpam-6488	413	38	both	both	CCONJ
ejpam-6488	413	39	the	the	DET
ejpam-6488	413	40	rapidly	rapidly	ADV
ejpam-6488	413	41	oscillating	oscillate	VERB
ejpam-6488	413	42	inhomogeneity	inhomogeneity	NOUN
ejpam-6488	413	43	and	and	CCONJ
ejpam-6488	413	44	the	the	DET
ejpam-6488	413	45	kernel	kernel	NOUN
ejpam-6488	413	46	of	of	ADP
ejpam-6488	413	47	the	the	DET
ejpam-6488	413	48	integral	integral	ADJ
ejpam-6488	413	49	operator	operator	NOUN
ejpam-6488	413	50	.	.	PUNCT
ejpam-6488	414	1	note	note	VERB
ejpam-6488	414	2	that	that	SCONJ
ejpam-6488	414	3	the	the	DET
ejpam-6488	414	4	application	application	NOUN
ejpam-6488	414	5	of	of	ADP
ejpam-6488	414	6	other	other	ADJ
ejpam-6488	414	7	asymptotic	asymptotic	ADJ
ejpam-6488	414	8	methods	method	NOUN
ejpam-6488	414	9	(	(	PUNCT
ejpam-6488	414	10	for	for	ADP
ejpam-6488	414	11	example	example	NOUN
ejpam-6488	414	12	,	,	PUNCT
ejpam-6488	414	13	the	the	DET
ejpam-6488	414	14	method	method	NOUN
ejpam-6488	414	15	of	of	ADP
ejpam-6488	414	16	boundary	boundary	ADJ
ejpam-6488	414	17	functions	function	NOUN
ejpam-6488	414	18	[	[	X
ejpam-6488	414	19	36–38	36–38	NUM
ejpam-6488	414	20	]	]	PUNCT
ejpam-6488	414	21	)	)	PUNCT
ejpam-6488	414	22	to	to	ADP
ejpam-6488	414	23	problems	problem	NOUN
ejpam-6488	414	24	of	of	ADP
ejpam-6488	414	25	type	type	NOUN
ejpam-6488	414	26	(	(	PUNCT
ejpam-6488	414	27	1	1	NUM
ejpam-6488	414	28	)	)	PUNCT
ejpam-6488	414	29	with	with	ADP
ejpam-6488	414	30	rapidly	rapidly	ADV
ejpam-6488	414	31	oscillating	oscillate	VERB
ejpam-6488	414	32	inhomogeneities	inhomogeneity	NOUN
ejpam-6488	414	33	is	be	AUX
ejpam-6488	414	34	problematic	problematic	ADJ
ejpam-6488	414	35	,	,	PUNCT
ejpam-6488	414	36	since	since	SCONJ
ejpam-6488	414	37	many	many	ADJ
ejpam-6488	414	38	of	of	ADP
ejpam-6488	414	39	them	they	PRON
ejpam-6488	414	40	rely	rely	VERB
ejpam-6488	414	41	heavily	heavily	ADV
ejpam-6488	414	42	on	on	ADP
ejpam-6488	414	43	the	the	DET
ejpam-6488	414	44	fact	fact	NOUN
ejpam-6488	414	45	that	that	SCONJ
ejpam-6488	414	46	all	all	DET
ejpam-6488	414	47	points	point	NOUN
ejpam-6488	414	48	of	of	ADP
ejpam-6488	414	49	the	the	DET
ejpam-6488	414	50	spectrum	spectrum	NOUN
ejpam-6488	414	51	(	(	PUNCT
ejpam-6488	414	52	including	include	VERB
ejpam-6488	414	53	the	the	DET
ejpam-6488	414	54	spectral	spectral	ADJ
ejpam-6488	414	55	value	value	NOUN
ejpam-6488	414	56	of	of	ADP
ejpam-6488	414	57	the	the	DET
ejpam-6488	414	58	inhomogeneity	inhomogeneity	NOUN
ejpam-6488	414	59	)	)	PUNCT
ejpam-6488	414	60	lie	lie	VERB
ejpam-6488	414	61	in	in	ADP
ejpam-6488	414	62	the	the	DET
ejpam-6488	414	63	open	open	ADJ
ejpam-6488	414	64	half	half	ADJ
ejpam-6488	414	65	-	-	PUNCT
ejpam-6488	414	66	plane	plane	NOUN
ejpam-6488	414	67	re	re	NOUN
ejpam-6488	414	68	λ	λ	X
ejpam-6488	414	69	<	<	X
ejpam-6488	414	70	0	0	NUM
ejpam-6488	414	71	.	.	PUNCT
ejpam-6488	415	1	references	reference	NOUN
ejpam-6488	415	2	[	[	X
ejpam-6488	415	3	1	1	X
ejpam-6488	415	4	]	]	PUNCT
ejpam-6488	415	5	s.	s.	PROPN
ejpam-6488	415	6	a.	a.	PROPN
ejpam-6488	415	7	lomov	lomov	PROPN
ejpam-6488	415	8	.	.	PUNCT
ejpam-6488	416	1	introduction	introduction	NOUN
ejpam-6488	416	2	to	to	ADP
ejpam-6488	416	3	general	general	ADJ
ejpam-6488	416	4	theory	theory	NOUN
ejpam-6488	416	5	of	of	ADP
ejpam-6488	416	6	singular	singular	PROPN
ejpam-6488	416	7	perturbations	perturbation	NOUN
ejpam-6488	416	8	.	.	PUNCT
ejpam-6488	417	1	american	american	PROPN
ejpam-6488	417	2	mathematical	mathematical	PROPN
ejpam-6488	417	3	society	society	NOUN
ejpam-6488	417	4	,	,	PUNCT
ejpam-6488	417	5	providence	providence	NOUN
ejpam-6488	417	6	,	,	PUNCT
ejpam-6488	417	7	usa	usa	PROPN
ejpam-6488	417	8	,	,	PUNCT
ejpam-6488	417	9	1992	1992	NUM
ejpam-6488	417	10	.	.	PUNCT
ejpam-6488	418	1	[	[	X
ejpam-6488	418	2	2	2	X
ejpam-6488	418	3	]	]	PUNCT
ejpam-6488	418	4	s.	s.	PROPN
ejpam-6488	418	5	a.	a.	PROPN
ejpam-6488	418	6	lomov	lomov	PROPN
ejpam-6488	418	7	and	and	CCONJ
ejpam-6488	418	8	i.	i.	PROPN
ejpam-6488	418	9	s.	s.	PROPN
ejpam-6488	418	10	lomov	lomov	PROPN
ejpam-6488	418	11	.	.	PUNCT
ejpam-6488	419	1	foundations	foundation	NOUN
ejpam-6488	419	2	of	of	ADP
ejpam-6488	419	3	mathematical	mathematical	ADJ
ejpam-6488	419	4	theory	theory	NOUN
ejpam-6488	419	5	of	of	ADP
ejpam-6488	419	6	boundary	boundary	ADJ
ejpam-6488	419	7	layer	layer	NOUN
ejpam-6488	419	8	.	.	PUNCT
ejpam-6488	420	1	izdatelstvo	izdatelstvo	PROPN
ejpam-6488	420	2	msu	msu	PROPN
ejpam-6488	420	3	,	,	PUNCT
ejpam-6488	420	4	moscow	moscow	PROPN
ejpam-6488	420	5	,	,	PUNCT
ejpam-6488	420	6	russia	russia	PROPN
ejpam-6488	420	7	,	,	PUNCT
ejpam-6488	420	8	2011	2011	NUM
ejpam-6488	420	9	.	.	PUNCT
ejpam-6488	421	1	[	[	X
ejpam-6488	421	2	3	3	NUM
ejpam-6488	421	3	]	]	PUNCT
ejpam-6488	421	4	a.	a.	NOUN
ejpam-6488	421	5	g.	g.	PROPN
ejpam-6488	421	6	eliseev	eliseev	PROPN
ejpam-6488	421	7	.	.	PUNCT
ejpam-6488	422	1	on	on	ADP
ejpam-6488	422	2	the	the	DET
ejpam-6488	422	3	regularized	regularize	VERB
ejpam-6488	422	4	asymptotics	asymptotic	NOUN
ejpam-6488	422	5	of	of	ADP
ejpam-6488	422	6	a	a	DET
ejpam-6488	422	7	solution	solution	NOUN
ejpam-6488	422	8	to	to	ADP
ejpam-6488	422	9	the	the	DET
ejpam-6488	422	10	cauchy	cauchy	ADJ
ejpam-6488	422	11	problem	problem	NOUN
ejpam-6488	422	12	in	in	ADP
ejpam-6488	422	13	the	the	DET
ejpam-6488	422	14	presence	presence	NOUN
ejpam-6488	422	15	of	of	ADP
ejpam-6488	422	16	a	a	DET
ejpam-6488	422	17	weak	weak	ADJ
ejpam-6488	422	18	turning	turning	NOUN
ejpam-6488	422	19	point	point	NOUN
ejpam-6488	422	20	of	of	ADP
ejpam-6488	422	21	the	the	DET
ejpam-6488	422	22	limit	limit	NOUN
ejpam-6488	422	23	operator	operator	NOUN
ejpam-6488	422	24	.	.	PUNCT
ejpam-6488	423	1	axioms	axiom	NOUN
ejpam-6488	423	2	,	,	PUNCT
ejpam-6488	423	3	9(86	9(86	NUM
ejpam-6488	423	4	)	)	PUNCT
ejpam-6488	423	5	,	,	PUNCT
ejpam-6488	423	6	2020	2020	NUM
ejpam-6488	423	7	.	.	PUNCT
ejpam-6488	424	1	[	[	X
ejpam-6488	424	2	4	4	NUM
ejpam-6488	424	3	]	]	PUNCT
ejpam-6488	424	4	a.	a.	NOUN
ejpam-6488	424	5	g.	g.	NOUN
ejpam-6488	424	6	eliseev	eliseev	PROPN
ejpam-6488	424	7	and	and	CCONJ
ejpam-6488	424	8	p.	p.	NOUN
ejpam-6488	424	9	v.	v.	CCONJ
ejpam-6488	424	10	kirichenko	kirichenko	PROPN
ejpam-6488	424	11	.	.	PUNCT
ejpam-6488	425	1	a	a	DET
ejpam-6488	425	2	solution	solution	NOUN
ejpam-6488	425	3	of	of	ADP
ejpam-6488	425	4	the	the	DET
ejpam-6488	425	5	singularly	singularly	ADV
ejpam-6488	425	6	perturbed	perturb	VERB
ejpam-6488	425	7	cauchy	cauchy	ADJ
ejpam-6488	425	8	problem	problem	NOUN
ejpam-6488	425	9	in	in	ADP
ejpam-6488	425	10	the	the	DET
ejpam-6488	425	11	presence	presence	NOUN
ejpam-6488	425	12	of	of	ADP
ejpam-6488	425	13	a	a	DET
ejpam-6488	425	14	”	"	PUNCT
ejpam-6488	425	15	weak	weak	ADJ
ejpam-6488	425	16	”	"	PUNCT
ejpam-6488	425	17	turning	turn	VERB
ejpam-6488	425	18	point	point	NOUN
ejpam-6488	425	19	at	at	ADP
ejpam-6488	425	20	the	the	DET
ejpam-6488	425	21	limit	limit	NOUN
ejpam-6488	425	22	operator	operator	NOUN
ejpam-6488	425	23	.	.	PUNCT
ejpam-6488	426	1	semr	semr	PROPN
ejpam-6488	426	2	,	,	PUNCT
ejpam-6488	426	3	17:51–60	17:51–60	PROPN
ejpam-6488	426	4	,	,	PUNCT
ejpam-6488	426	5	2020	2020	NUM
ejpam-6488	426	6	.	.	PUNCT
ejpam-6488	427	1	[	[	X
ejpam-6488	427	2	5	5	X
ejpam-6488	427	3	]	]	PUNCT
ejpam-6488	427	4	s.	s.	PROPN
ejpam-6488	427	5	a.	a.	PROPN
ejpam-6488	427	6	lomov	lomov	PROPN
ejpam-6488	427	7	and	and	CCONJ
ejpam-6488	427	8	a.	a.	NOUN
ejpam-6488	427	9	g.	g.	PROPN
ejpam-6488	427	10	eliseev	eliseev	PROPN
ejpam-6488	427	11	.	.	PUNCT
ejpam-6488	428	1	asymptotic	asymptotic	ADJ
ejpam-6488	428	2	integration	integration	NOUN
ejpam-6488	428	3	of	of	ADP
ejpam-6488	428	4	singularly	singularly	ADV
ejpam-6488	428	5	perturbed	perturb	VERB
ejpam-6488	428	6	problems	problem	NOUN
ejpam-6488	428	7	.	.	PUNCT
ejpam-6488	429	1	russian	russian	ADJ
ejpam-6488	429	2	mathematical	mathematical	ADJ
ejpam-6488	429	3	surveys	survey	NOUN
ejpam-6488	429	4	,	,	PUNCT
ejpam-6488	429	5	43:1–63	43:1–63	NUM
ejpam-6488	429	6	,	,	PUNCT
ejpam-6488	429	7	1988	1988	NUM
ejpam-6488	429	8	.	.	PUNCT
ejpam-6488	430	1	[	[	X
ejpam-6488	430	2	6	6	NUM
ejpam-6488	430	3	]	]	PUNCT
ejpam-6488	430	4	a.	a.	NOUN
ejpam-6488	430	5	g.	g.	PROPN
ejpam-6488	430	6	eliseev	eliseev	PROPN
ejpam-6488	430	7	,	,	PUNCT
ejpam-6488	430	8	t.	t.	PROPN
ejpam-6488	430	9	a.	a.	NOUN
ejpam-6488	430	10	ratnikova	ratnikova	PROPN
ejpam-6488	430	11	,	,	PUNCT
ejpam-6488	430	12	and	and	CCONJ
ejpam-6488	430	13	d.	d.	PROPN
ejpam-6488	430	14	a.	a.	PROPN
ejpam-6488	430	15	shaposhnikova	shaposhnikova	PROPN
ejpam-6488	430	16	.	.	PUNCT
ejpam-6488	431	1	on	on	ADP
ejpam-6488	431	2	an	an	DET
ejpam-6488	431	3	initialization	initialization	NOUN
ejpam-6488	431	4	problem	problem	NOUN
ejpam-6488	431	5	.	.	PUNCT
ejpam-6488	432	1	mathematical	mathematical	ADJ
ejpam-6488	432	2	notes	note	NOUN
ejpam-6488	432	3	,	,	PUNCT
ejpam-6488	432	4	108:286–291	108:286–291	NUM
ejpam-6488	432	5	,	,	PUNCT
ejpam-6488	432	6	2020	2020	NUM
ejpam-6488	432	7	.	.	PUNCT
ejpam-6488	433	1	[	[	X
ejpam-6488	433	2	7	7	X
ejpam-6488	433	3	]	]	X
ejpam-6488	433	4	m.	m.	NOUN
ejpam-6488	433	5	i.	i.	PROPN
ejpam-6488	433	6	besova	besova	PROPN
ejpam-6488	434	1	and	and	CCONJ
ejpam-6488	434	2	v.	v.	ADP
ejpam-6488	434	3	i.	i.	PROPN
ejpam-6488	434	4	kachalov	kachalov	PROPN
ejpam-6488	434	5	.	.	PUNCT
ejpam-6488	435	1	on	on	ADP
ejpam-6488	435	2	a	a	DET
ejpam-6488	435	3	nonlinear	nonlinear	ADJ
ejpam-6488	435	4	differential	differential	ADJ
ejpam-6488	435	5	equation	equation	NOUN
ejpam-6488	435	6	in	in	ADP
ejpam-6488	435	7	a	a	DET
ejpam-6488	435	8	banach	banach	NOUN
ejpam-6488	435	9	space	space	NOUN
ejpam-6488	435	10	.	.	PUNCT
ejpam-6488	436	1	semr	semr	PROPN
ejpam-6488	436	2	,	,	PUNCT
ejpam-6488	436	3	18:332–337	18:332–337	NUM
ejpam-6488	436	4	,	,	PUNCT
ejpam-6488	436	5	2021	2021	NUM
ejpam-6488	436	6	.	.	PUNCT
ejpam-6488	437	1	[	[	X
ejpam-6488	437	2	8	8	NUM
ejpam-6488	437	3	]	]	PUNCT
ejpam-6488	437	4	m.	m.	NOUN
ejpam-6488	437	5	i.	i.	PROPN
ejpam-6488	437	6	besova	besova	PROPN
ejpam-6488	437	7	and	and	CCONJ
ejpam-6488	437	8	v.	v.	ADP
ejpam-6488	437	9	i.	i.	PROPN
ejpam-6488	437	10	kachalov	kachalov	PROPN
ejpam-6488	437	11	.	.	PUNCT
ejpam-6488	438	1	analytical	analytical	ADJ
ejpam-6488	438	2	aspects	aspect	NOUN
ejpam-6488	438	3	of	of	ADP
ejpam-6488	438	4	the	the	DET
ejpam-6488	438	5	theory	theory	NOUN
ejpam-6488	438	6	of	of	ADP
ejpam-6488	438	7	tikhonov	tikhonov	NOUN
ejpam-6488	438	8	systems	system	NOUN
ejpam-6488	438	9	.	.	PUNCT
ejpam-6488	439	1	mathematics	mathematic	NOUN
ejpam-6488	439	2	,	,	PUNCT
ejpam-6488	439	3	10(72	10(72	NUM
ejpam-6488	439	4	)	)	PUNCT
ejpam-6488	439	5	,	,	PUNCT
ejpam-6488	439	6	2022	2022	NUM
ejpam-6488	439	7	.	.	PUNCT
ejpam-6488	440	1	[	[	X
ejpam-6488	440	2	9	9	NUM
ejpam-6488	440	3	]	]	PUNCT
ejpam-6488	440	4	a.	a.	NOUN
ejpam-6488	440	5	d.	d.	PROPN
ejpam-6488	440	6	ryzhikh	ryzhikh	PROPN
ejpam-6488	440	7	.	.	PUNCT
ejpam-6488	441	1	asymptotic	asymptotic	ADJ
ejpam-6488	441	2	solution	solution	NOUN
ejpam-6488	441	3	of	of	ADP
ejpam-6488	441	4	a	a	DET
ejpam-6488	441	5	linear	linear	ADJ
ejpam-6488	441	6	differential	differential	ADJ
ejpam-6488	441	7	equation	equation	NOUN
ejpam-6488	441	8	with	with	ADP
ejpam-6488	441	9	a	a	DET
ejpam-6488	441	10	rapidly	rapidly	ADV
ejpam-6488	441	11	oscillating	oscillate	VERB
ejpam-6488	441	12	coefficient	coefficient	NOUN
ejpam-6488	441	13	.	.	PUNCT
ejpam-6488	442	1	vestn	vestn	NOUN
ejpam-6488	442	2	.	.	PUNCT
ejpam-6488	443	1	mei	mei	PROPN
ejpam-6488	443	2	/	/	SYM
ejpam-6488	443	3	bull	bull	PROPN
ejpam-6488	443	4	.	.	PUNCT
ejpam-6488	444	1	mpei	mpei	PROPN
ejpam-6488	444	2	,	,	PUNCT
ejpam-6488	444	3	387:92–94	387:92–94	PROPN
ejpam-6488	444	4	,	,	PUNCT
ejpam-6488	444	5	1978	1978	NUM
ejpam-6488	444	6	.	.	PUNCT
ejpam-6488	445	1	[	[	X
ejpam-6488	445	2	10	10	NUM
ejpam-6488	445	3	]	]	PUNCT
ejpam-6488	445	4	m.	m.	NOUN
ejpam-6488	445	5	a.	a.	PROPN
ejpam-6488	445	6	bobodzhanova	bobodzhanova	PROPN
ejpam-6488	445	7	.	.	PUNCT
ejpam-6488	446	1	substantiation	substantiation	NOUN
ejpam-6488	446	2	of	of	ADP
ejpam-6488	446	3	the	the	DET
ejpam-6488	446	4	regularization	regularization	NOUN
ejpam-6488	446	5	method	method	NOUN
ejpam-6488	446	6	for	for	ADP
ejpam-6488	446	7	nonlinear	nonlinear	ADJ
ejpam-6488	446	8	integro	integro	ADJ
ejpam-6488	446	9	-	-	PUNCT
ejpam-6488	446	10	differential	differential	NOUN
ejpam-6488	446	11	equations	equation	NOUN
ejpam-6488	446	12	with	with	ADP
ejpam-6488	446	13	a	a	DET
ejpam-6488	446	14	zero	zero	NUM
ejpam-6488	446	15	operator	operator	NOUN
ejpam-6488	446	16	of	of	ADP
ejpam-6488	446	17	the	the	DET
ejpam-6488	446	18	differential	differential	ADJ
ejpam-6488	446	19	part	part	NOUN
ejpam-6488	446	20	.	.	PUNCT
ejpam-6488	447	1	vestn	vestn	NOUN
ejpam-6488	447	2	.	.	PUNCT
ejpam-6488	448	1	mei	mei	PROPN
ejpam-6488	448	2	/	/	SYM
ejpam-6488	448	3	bull	bull	PROPN
ejpam-6488	448	4	.	.	PUNCT
ejpam-6488	449	1	mpei	mpei	PROPN
ejpam-6488	449	2	,	,	PUNCT
ejpam-6488	449	3	6:85–95	6:85–95	NUM
ejpam-6488	449	4	,	,	PUNCT
ejpam-6488	449	5	2011	2011	NUM
ejpam-6488	449	6	.	.	PUNCT
ejpam-6488	450	1	[	[	X
ejpam-6488	450	2	11	11	NUM
ejpam-6488	450	3	]	]	PUNCT
ejpam-6488	450	4	m.	m.	NOUN
ejpam-6488	450	5	a.	a.	PROPN
ejpam-6488	450	6	bobodzhanova	bobodzhanova	PROPN
ejpam-6488	450	7	.	.	PUNCT
ejpam-6488	451	1	singularly	singularly	ADV
ejpam-6488	451	2	perturbed	perturb	VERB
ejpam-6488	451	3	integro	integro	ADJ
ejpam-6488	451	4	-	-	PUNCT
ejpam-6488	451	5	differential	differential	NOUN
ejpam-6488	451	6	systems	system	NOUN
ejpam-6488	451	7	with	with	ADP
ejpam-6488	451	8	a	a	DET
ejpam-6488	451	9	zero	zero	NUM
ejpam-6488	451	10	operator	operator	NOUN
ejpam-6488	451	11	of	of	ADP
ejpam-6488	451	12	the	the	DET
ejpam-6488	451	13	differential	differential	ADJ
ejpam-6488	451	14	part	part	NOUN
ejpam-6488	451	15	.	.	PUNCT
ejpam-6488	452	1	vestn	vestn	NOUN
ejpam-6488	452	2	.	.	PUNCT
ejpam-6488	453	1	mei	mei	PROPN
ejpam-6488	453	2	/	/	SYM
ejpam-6488	453	3	bull	bull	PROPN
ejpam-6488	453	4	.	.	PUNCT
ejpam-6488	454	1	mpei	mpei	PROPN
ejpam-6488	454	2	,	,	PUNCT
ejpam-6488	454	3	6:63–72	6:63–72	NUM
ejpam-6488	454	4	,	,	PUNCT
ejpam-6488	454	5	2010	2010	NUM
ejpam-6488	454	6	.	.	PUNCT
ejpam-6488	455	1	[	[	X
ejpam-6488	455	2	12	12	NUM
ejpam-6488	455	3	]	]	PUNCT
ejpam-6488	455	4	b.	b.	PROPN
ejpam-6488	455	5	t.	t.	PROPN
ejpam-6488	455	6	kalimbetov	kalimbetov	PROPN
ejpam-6488	455	7	and	and	CCONJ
ejpam-6488	455	8	v.	v.	PROPN
ejpam-6488	455	9	f.	f.	PROPN
ejpam-6488	455	10	safonov	safonov	PROPN
ejpam-6488	455	11	.	.	PUNCT
ejpam-6488	456	1	integro	integro	ADJ
ejpam-6488	456	2	-	-	PUNCT
ejpam-6488	456	3	differentiated	differentiate	VERB
ejpam-6488	456	4	singularly	singularly	ADV
ejpam-6488	456	5	perturbed	perturb	VERB
ejpam-6488	456	6	equations	equation	NOUN
ejpam-6488	456	7	with	with	ADP
ejpam-6488	456	8	fast	fast	ADJ
ejpam-6488	456	9	oscillating	oscillating	NOUN
ejpam-6488	456	10	coefficients	coefficient	NOUN
ejpam-6488	456	11	.	.	PUNCT
ejpam-6488	457	1	bulletin	bulletin	NOUN
ejpam-6488	457	2	of	of	ADP
ejpam-6488	457	3	the	the	DET
ejpam-6488	457	4	karaganda	karaganda	PROPN
ejpam-6488	457	5	su	su	PROPN
ejpam-6488	457	6	,	,	PUNCT
ejpam-6488	457	7	series	series	NOUN
ejpam-6488	457	8	mathematics	mathematic	NOUN
ejpam-6488	457	9	,	,	PUNCT
ejpam-6488	457	10	94(2):33–47	94(2):33–47	NOUN
ejpam-6488	457	11	,	,	PUNCT
ejpam-6488	457	12	2019	2019	NUM
ejpam-6488	457	13	.	.	PUNCT
ejpam-6488	458	1	[	[	X
ejpam-6488	458	2	13	13	NUM
ejpam-6488	458	3	]	]	X
ejpam-6488	458	4	b.	b.	PROPN
ejpam-6488	458	5	t.	t.	PROPN
ejpam-6488	458	6	kalimbetov	kalimbetov	PROPN
ejpam-6488	458	7	and	and	CCONJ
ejpam-6488	458	8	v.	v.	PROPN
ejpam-6488	458	9	f.	f.	PROPN
ejpam-6488	458	10	safonov	safonov	PROPN
ejpam-6488	458	11	.	.	PUNCT
ejpam-6488	459	1	regularization	regularization	NOUN
ejpam-6488	459	2	method	method	NOUN
ejpam-6488	459	3	for	for	ADP
ejpam-6488	459	4	singularly	singularly	ADV
ejpam-6488	459	5	perturbed	perturb	VERB
ejpam-6488	459	6	integro	integro	ADJ
ejpam-6488	459	7	-	-	PUNCT
ejpam-6488	459	8	differential	differential	NOUN
ejpam-6488	459	9	equations	equation	NOUN
ejpam-6488	459	10	with	with	ADP
ejpam-6488	459	11	rapidly	rapidly	ADV
ejpam-6488	459	12	oscillating	oscillate	VERB
ejpam-6488	459	13	coefficients	coefficient	NOUN
ejpam-6488	459	14	and	and	CCONJ
ejpam-6488	459	15	with	with	ADP
ejpam-6488	459	16	rapidly	rapidly	ADV
ejpam-6488	459	17	changing	change	VERB
ejpam-6488	459	18	kernels	kernel	NOUN
ejpam-6488	459	19	.	.	PUNCT
ejpam-6488	460	1	axioms	axiom	NOUN
ejpam-6488	460	2	,	,	PUNCT
ejpam-6488	460	3	9(4):131	9(4):131	NUM
ejpam-6488	460	4	,	,	PUNCT
ejpam-6488	460	5	2020	2020	NUM
ejpam-6488	460	6	.	.	PUNCT
ejpam-6488	461	1	m.	m.	NOUN
ejpam-6488	461	2	begaidarov	begaidarov	PROPN
ejpam-6488	461	3	,	,	PUNCT
ejpam-6488	461	4	d.	d.	PROPN
ejpam-6488	461	5	bibulova	bibulova	PROPN
ejpam-6488	461	6	,	,	PUNCT
ejpam-6488	461	7	b.	b.	PROPN
ejpam-6488	461	8	kalimbetov	kalimbetov	PROPN
ejpam-6488	461	9	/	/	SYM
ejpam-6488	461	10	eur	eur	PROPN
ejpam-6488	461	11	.	.	PUNCT
ejpam-6488	462	1	j.	j.	PROPN
ejpam-6488	462	2	pure	pure	PROPN
ejpam-6488	462	3	appl	appl	PROPN
ejpam-6488	462	4	.	.	PROPN
ejpam-6488	462	5	math	math	PROPN
ejpam-6488	462	6	,	,	PUNCT
ejpam-6488	462	7	18	18	NUM
ejpam-6488	462	8	(	(	PUNCT
ejpam-6488	462	9	4	4	NUM
ejpam-6488	462	10	)	)	PUNCT
ejpam-6488	462	11	(	(	PUNCT
ejpam-6488	462	12	2025	2025	NUM
ejpam-6488	462	13	)	)	PUNCT
ejpam-6488	462	14	,	,	PUNCT
ejpam-6488	462	15	6488	6488	NUM
ejpam-6488	462	16	19	19	NUM
ejpam-6488	462	17	of	of	ADP
ejpam-6488	462	18	20	20	NUM
ejpam-6488	462	19	[	[	SYM
ejpam-6488	462	20	14	14	NUM
ejpam-6488	462	21	]	]	PUNCT
ejpam-6488	462	22	b.	b.	PROPN
ejpam-6488	462	23	t.	t.	PROPN
ejpam-6488	462	24	kalimbetov	kalimbetov	PROPN
ejpam-6488	462	25	and	and	CCONJ
ejpam-6488	462	26	v.	v.	PROPN
ejpam-6488	462	27	f.	f.	PROPN
ejpam-6488	462	28	safonov	safonov	PROPN
ejpam-6488	462	29	.	.	PUNCT
ejpam-6488	463	1	singularly	singularly	ADV
ejpam-6488	463	2	perturbed	perturb	VERB
ejpam-6488	463	3	integro	integro	ADJ
ejpam-6488	463	4	-	-	PUNCT
ejpam-6488	463	5	differential	differential	NOUN
ejpam-6488	463	6	equations	equation	NOUN
ejpam-6488	463	7	with	with	ADP
ejpam-6488	463	8	rapidly	rapidly	ADV
ejpam-6488	463	9	oscillating	oscillate	VERB
ejpam-6488	463	10	coefficients	coefficient	NOUN
ejpam-6488	463	11	and	and	CCONJ
ejpam-6488	463	12	with	with	ADP
ejpam-6488	463	13	rapidly	rapidly	ADV
ejpam-6488	463	14	changing	change	VERB
ejpam-6488	463	15	kernel	kernel	NOUN
ejpam-6488	463	16	in	in	ADP
ejpam-6488	463	17	the	the	DET
ejpam-6488	463	18	case	case	NOUN
ejpam-6488	463	19	of	of	ADP
ejpam-6488	463	20	a	a	DET
ejpam-6488	463	21	multiple	multiple	ADJ
ejpam-6488	463	22	spectrum	spectrum	NOUN
ejpam-6488	463	23	.	.	PUNCT
ejpam-6488	464	1	wseas	wseas	NOUN
ejpam-6488	464	2	transactions	transaction	NOUN
ejpam-6488	464	3	on	on	ADP
ejpam-6488	464	4	mathematics	mathematic	NOUN
ejpam-6488	464	5	,	,	PUNCT
ejpam-6488	464	6	20:84–96	20:84–96	NUM
ejpam-6488	464	7	,	,	PUNCT
ejpam-6488	464	8	2021	2021	NUM
ejpam-6488	464	9	.	.	PUNCT
ejpam-6488	465	1	[	[	X
ejpam-6488	465	2	15	15	NUM
ejpam-6488	465	3	]	]	X
ejpam-6488	465	4	a.	a.	NOUN
ejpam-6488	465	5	a.	a.	NOUN
ejpam-6488	465	6	bobodzhanov	bobodzhanov	PROPN
ejpam-6488	465	7	,	,	PUNCT
ejpam-6488	465	8	b.	b.	PROPN
ejpam-6488	465	9	t.	t.	PROPN
ejpam-6488	465	10	kalimbetov	kalimbetov	PROPN
ejpam-6488	465	11	,	,	PUNCT
ejpam-6488	465	12	and	and	CCONJ
ejpam-6488	465	13	v.	v.	PROPN
ejpam-6488	465	14	f.	f.	PROPN
ejpam-6488	465	15	safonov	safonov	PROPN
ejpam-6488	465	16	.	.	PUNCT
ejpam-6488	466	1	asymptotic	asymptotic	ADJ
ejpam-6488	466	2	solutions	solution	NOUN
ejpam-6488	466	3	of	of	ADP
ejpam-6488	466	4	singularly	singularly	ADV
ejpam-6488	466	5	perturbed	perturb	VERB
ejpam-6488	466	6	integro	integro	ADJ
ejpam-6488	466	7	-	-	PUNCT
ejpam-6488	466	8	differential	differential	NOUN
ejpam-6488	466	9	systems	system	NOUN
ejpam-6488	466	10	with	with	ADP
ejpam-6488	466	11	rapidly	rapidly	ADV
ejpam-6488	466	12	oscillating	oscillate	VERB
ejpam-6488	466	13	coefficients	coefficient	NOUN
ejpam-6488	466	14	in	in	ADP
ejpam-6488	466	15	the	the	DET
ejpam-6488	466	16	case	case	NOUN
ejpam-6488	466	17	of	of	ADP
ejpam-6488	466	18	a	a	DET
ejpam-6488	466	19	simple	simple	ADJ
ejpam-6488	466	20	spectrum	spectrum	NOUN
ejpam-6488	466	21	.	.	PUNCT
ejpam-6488	467	1	aims	aim	VERB
ejpam-6488	467	2	mathematics	mathematic	NOUN
ejpam-6488	467	3	,	,	PUNCT
ejpam-6488	467	4	6(8):8835–8853	6(8):8835–8853	NOUN
ejpam-6488	467	5	,	,	PUNCT
ejpam-6488	467	6	2021	2021	NUM
ejpam-6488	467	7	.	.	PUNCT
ejpam-6488	468	1	[	[	X
ejpam-6488	468	2	16	16	NUM
ejpam-6488	468	3	]	]	PUNCT
ejpam-6488	468	4	a.	a.	NOUN
ejpam-6488	468	5	a.	a.	NOUN
ejpam-6488	468	6	bobodzhanov	bobodzhanov	PROPN
ejpam-6488	468	7	,	,	PUNCT
ejpam-6488	468	8	b.	b.	PROPN
ejpam-6488	468	9	t.	t.	PROPN
ejpam-6488	468	10	kalimbetov	kalimbetov	PROPN
ejpam-6488	468	11	,	,	PUNCT
ejpam-6488	468	12	and	and	CCONJ
ejpam-6488	468	13	v.	v.	PROPN
ejpam-6488	468	14	f.	f.	PROPN
ejpam-6488	468	15	safonov	safonov	PROPN
ejpam-6488	468	16	.	.	PUNCT
ejpam-6488	469	1	generalization	generalization	NOUN
ejpam-6488	469	2	of	of	ADP
ejpam-6488	469	3	the	the	DET
ejpam-6488	469	4	regularization	regularization	NOUN
ejpam-6488	469	5	method	method	NOUN
ejpam-6488	469	6	to	to	PART
ejpam-6488	469	7	singularly	singularly	ADV
ejpam-6488	469	8	perturbed	perturb	VERB
ejpam-6488	469	9	integro	integro	ADJ
ejpam-6488	469	10	-	-	PUNCT
ejpam-6488	469	11	differential	differential	NOUN
ejpam-6488	469	12	systems	system	NOUN
ejpam-6488	469	13	of	of	ADP
ejpam-6488	469	14	equations	equation	NOUN
ejpam-6488	469	15	with	with	ADP
ejpam-6488	469	16	rapidly	rapidly	ADV
ejpam-6488	469	17	oscillating	oscillate	VERB
ejpam-6488	469	18	inhomogeneity	inhomogeneity	NOUN
ejpam-6488	469	19	.	.	PUNCT
ejpam-6488	470	1	axioms	axiom	NOUN
ejpam-6488	470	2	,	,	PUNCT
ejpam-6488	470	3	19:301–311	19:301–311	NUM
ejpam-6488	470	4	,	,	PUNCT
ejpam-6488	470	5	2020	2020	NUM
ejpam-6488	470	6	.	.	PUNCT
ejpam-6488	471	1	[	[	X
ejpam-6488	471	2	17	17	NUM
ejpam-6488	471	3	]	]	PUNCT
ejpam-6488	471	4	a.	a.	NOUN
ejpam-6488	471	5	a.	a.	NOUN
ejpam-6488	471	6	bobodzhanov	bobodzhanov	PROPN
ejpam-6488	471	7	,	,	PUNCT
ejpam-6488	471	8	b.	b.	PROPN
ejpam-6488	471	9	t.	t.	PROPN
ejpam-6488	471	10	kalimbetov	kalimbetov	PROPN
ejpam-6488	471	11	,	,	PUNCT
ejpam-6488	471	12	and	and	CCONJ
ejpam-6488	471	13	v.	v.	PROPN
ejpam-6488	471	14	f.	f.	PROPN
ejpam-6488	471	15	safonov	safonov	PROPN
ejpam-6488	471	16	.	.	PUNCT
ejpam-6488	472	1	nonlinear	nonlinear	ADJ
ejpam-6488	472	2	singularly	singularly	ADV
ejpam-6488	472	3	perturbed	perturb	VERB
ejpam-6488	472	4	integro	integro	ADJ
ejpam-6488	472	5	-	-	PUNCT
ejpam-6488	472	6	differential	differential	NOUN
ejpam-6488	472	7	equations	equation	NOUN
ejpam-6488	472	8	and	and	CCONJ
ejpam-6488	472	9	regularization	regularization	NOUN
ejpam-6488	472	10	method	method	NOUN
ejpam-6488	472	11	.	.	PUNCT
ejpam-6488	473	1	wseas	wseas	VERB
ejpam-6488	473	2	transactions	transaction	NOUN
ejpam-6488	473	3	on	on	ADP
ejpam-6488	473	4	mathematics	mathematic	NOUN
ejpam-6488	473	5	,	,	PUNCT
ejpam-6488	473	6	10(1):40	10(1):40	NUM
ejpam-6488	473	7	,	,	PUNCT
ejpam-6488	473	8	2021	2021	NUM
ejpam-6488	473	9	.	.	PUNCT
ejpam-6488	474	1	[	[	X
ejpam-6488	474	2	18	18	NUM
ejpam-6488	474	3	]	]	PUNCT
ejpam-6488	474	4	a.	a.	NOUN
ejpam-6488	474	5	a.	a.	NOUN
ejpam-6488	474	6	bobodzhanov	bobodzhanov	PROPN
ejpam-6488	474	7	,	,	PUNCT
ejpam-6488	474	8	b.	b.	PROPN
ejpam-6488	474	9	t.	t.	PROPN
ejpam-6488	474	10	kalimbetov	kalimbetov	PROPN
ejpam-6488	474	11	,	,	PUNCT
ejpam-6488	474	12	and	and	CCONJ
ejpam-6488	474	13	v.	v.	PROPN
ejpam-6488	474	14	f.	f.	PROPN
ejpam-6488	474	15	safonov	safonov	PROPN
ejpam-6488	474	16	.	.	PUNCT
ejpam-6488	475	1	integro	integro	ADJ
ejpam-6488	475	2	-	-	PUNCT
ejpam-6488	475	3	differential	differential	NOUN
ejpam-6488	475	4	problem	problem	NOUN
ejpam-6488	475	5	about	about	ADP
ejpam-6488	475	6	parametric	parametric	ADJ
ejpam-6488	475	7	amplification	amplification	NOUN
ejpam-6488	475	8	and	and	CCONJ
ejpam-6488	475	9	its	its	PRON
ejpam-6488	475	10	asymptotical	asymptotical	ADJ
ejpam-6488	475	11	integration	integration	NOUN
ejpam-6488	475	12	.	.	PUNCT
ejpam-6488	476	1	ijam	ijam	PROPN
ejpam-6488	476	2	,	,	PUNCT
ejpam-6488	476	3	33(2):331–353	33(2):331–353	PROPN
ejpam-6488	476	4	,	,	PUNCT
ejpam-6488	476	5	2020	2020	NUM
ejpam-6488	476	6	.	.	PUNCT
ejpam-6488	477	1	[	[	X
ejpam-6488	477	2	19	19	NUM
ejpam-6488	477	3	]	]	PUNCT
ejpam-6488	477	4	b.	b.	PROPN
ejpam-6488	477	5	t.	t.	PROPN
ejpam-6488	477	6	kalimbetov	kalimbetov	PROPN
ejpam-6488	477	7	,	,	PUNCT
ejpam-6488	477	8	v.	v.	PROPN
ejpam-6488	477	9	f.	f.	PROPN
ejpam-6488	477	10	safonov	safonov	PROPN
ejpam-6488	477	11	,	,	PUNCT
ejpam-6488	477	12	and	and	CCONJ
ejpam-6488	477	13	o.	o.	PROPN
ejpam-6488	477	14	d.	d.	PROPN
ejpam-6488	477	15	tuychiev	tuychiev	PROPN
ejpam-6488	477	16	.	.	PUNCT
ejpam-6488	478	1	singular	singular	PROPN
ejpam-6488	478	2	perturbed	perturb	VERB
ejpam-6488	478	3	integral	integral	ADJ
ejpam-6488	478	4	equations	equation	NOUN
ejpam-6488	478	5	with	with	ADP
ejpam-6488	478	6	rapidly	rapidly	ADV
ejpam-6488	478	7	oscillation	oscillation	NOUN
ejpam-6488	478	8	coefficients	coefficient	NOUN
ejpam-6488	478	9	.	.	PUNCT
ejpam-6488	479	1	semr	semr	PROPN
ejpam-6488	479	2	,	,	PUNCT
ejpam-6488	479	3	17:2068–2083	17:2068–2083	NUM
ejpam-6488	479	4	,	,	PUNCT
ejpam-6488	479	5	2020	2020	NUM
ejpam-6488	479	6	.	.	PUNCT
ejpam-6488	480	1	[	[	X
ejpam-6488	480	2	20	20	NUM
ejpam-6488	480	3	]	]	PUNCT
ejpam-6488	480	4	a.	a.	NOUN
ejpam-6488	480	5	a.	a.	NOUN
ejpam-6488	480	6	bobodzhanov	bobodzhanov	PROPN
ejpam-6488	480	7	,	,	PUNCT
ejpam-6488	480	8	b.	b.	PROPN
ejpam-6488	480	9	t.	t.	PROPN
ejpam-6488	480	10	kalimbetov	kalimbetov	PROPN
ejpam-6488	480	11	,	,	PUNCT
ejpam-6488	480	12	and	and	CCONJ
ejpam-6488	480	13	v.	v.	PROPN
ejpam-6488	480	14	f.	f.	PROPN
ejpam-6488	480	15	safonov	safonov	PROPN
ejpam-6488	480	16	.	.	PUNCT
ejpam-6488	481	1	algorithm	algorithm	NOUN
ejpam-6488	481	2	of	of	ADP
ejpam-6488	481	3	the	the	DET
ejpam-6488	481	4	regularization	regularization	NOUN
ejpam-6488	481	5	method	method	NOUN
ejpam-6488	481	6	for	for	ADP
ejpam-6488	481	7	a	a	DET
ejpam-6488	481	8	nonlinear	nonlinear	ADJ
ejpam-6488	481	9	singularly	singularly	ADV
ejpam-6488	481	10	perturbed	perturb	VERB
ejpam-6488	481	11	integro	integro	ADJ
ejpam-6488	481	12	-	-	PUNCT
ejpam-6488	481	13	differential	differential	NOUN
ejpam-6488	481	14	equation	equation	NOUN
ejpam-6488	481	15	with	with	ADP
ejpam-6488	481	16	rapidly	rapidly	ADV
ejpam-6488	481	17	oscillating	oscillate	VERB
ejpam-6488	481	18	inhomogeneities	inhomogeneity	NOUN
ejpam-6488	481	19	.	.	PUNCT
ejpam-6488	482	1	differential	differential	ADJ
ejpam-6488	482	2	equations	equation	NOUN
ejpam-6488	482	3	,	,	PUNCT
ejpam-6488	482	4	58(3):392–225	58(3):392–225	NUM
ejpam-6488	482	5	,	,	PUNCT
ejpam-6488	482	6	2022	2022	NUM
ejpam-6488	482	7	.	.	PUNCT
ejpam-6488	483	1	[	[	X
ejpam-6488	483	2	21	21	NUM
ejpam-6488	483	3	]	]	PUNCT
ejpam-6488	483	4	a.	a.	NOUN
ejpam-6488	483	5	a.	a.	NOUN
ejpam-6488	483	6	bobodzhanov	bobodzhanov	PROPN
ejpam-6488	483	7	,	,	PUNCT
ejpam-6488	483	8	b.	b.	PROPN
ejpam-6488	483	9	t.	t.	PROPN
ejpam-6488	483	10	kalimbetov	kalimbetov	PROPN
ejpam-6488	483	11	,	,	PUNCT
ejpam-6488	483	12	and	and	CCONJ
ejpam-6488	483	13	v.	v.	PROPN
ejpam-6488	483	14	f.	f.	PROPN
ejpam-6488	483	15	safonov	safonov	PROPN
ejpam-6488	483	16	.	.	PUNCT
ejpam-6488	484	1	algorithm	algorithm	NOUN
ejpam-6488	484	2	of	of	ADP
ejpam-6488	484	3	the	the	DET
ejpam-6488	484	4	regularization	regularization	NOUN
ejpam-6488	484	5	method	method	NOUN
ejpam-6488	484	6	for	for	ADP
ejpam-6488	484	7	a	a	DET
ejpam-6488	484	8	singularly	singularly	ADV
ejpam-6488	484	9	perturbed	perturb	VERB
ejpam-6488	484	10	integro	integro	ADJ
ejpam-6488	484	11	-	-	PUNCT
ejpam-6488	484	12	differential	differential	NOUN
ejpam-6488	484	13	equation	equation	NOUN
ejpam-6488	484	14	with	with	ADP
ejpam-6488	484	15	a	a	DET
ejpam-6488	484	16	rapidly	rapidly	ADV
ejpam-6488	484	17	decreasing	decrease	VERB
ejpam-6488	484	18	kernel	kernel	NOUN
ejpam-6488	484	19	and	and	CCONJ
ejpam-6488	484	20	rapidly	rapidly	ADV
ejpam-6488	484	21	oscillating	oscillate	VERB
ejpam-6488	484	22	inhomogeneity	inhomogeneity	NOUN
ejpam-6488	484	23	.	.	PUNCT
ejpam-6488	485	1	journal	journal	PROPN
ejpam-6488	485	2	of	of	ADP
ejpam-6488	485	3	siberian	siberian	PROPN
ejpam-6488	485	4	federal	federal	PROPN
ejpam-6488	485	5	university	university	PROPN
ejpam-6488	485	6	,	,	PUNCT
ejpam-6488	485	7	mathematics	mathematics	PROPN
ejpam-6488	485	8	and	and	CCONJ
ejpam-6488	485	9	physics	physic	NOUN
ejpam-6488	485	10	,	,	PUNCT
ejpam-6488	485	11	15(2):216–225	15(2):216–225	NUM
ejpam-6488	485	12	,	,	PUNCT
ejpam-6488	485	13	2022	2022	NUM
ejpam-6488	485	14	.	.	PUNCT
ejpam-6488	486	1	[	[	X
ejpam-6488	486	2	22	22	NUM
ejpam-6488	486	3	]	]	X
ejpam-6488	486	4	d.	d.	PROPN
ejpam-6488	486	5	a.	a.	PROPN
ejpam-6488	486	6	bibulova	bibulova	PROPN
ejpam-6488	486	7	,	,	PUNCT
ejpam-6488	486	8	b.	b.	PROPN
ejpam-6488	486	9	t.	t.	PROPN
ejpam-6488	486	10	kalimbetov	kalimbetov	PROPN
ejpam-6488	486	11	,	,	PUNCT
ejpam-6488	486	12	and	and	CCONJ
ejpam-6488	486	13	v.	v.	PROPN
ejpam-6488	486	14	f.	f.	PROPN
ejpam-6488	486	15	safonov	safonov	PROPN
ejpam-6488	486	16	.	.	PUNCT
ejpam-6488	487	1	regularized	regularize	VERB
ejpam-6488	487	2	asymptotic	asymptotic	ADJ
ejpam-6488	487	3	solutions	solution	NOUN
ejpam-6488	487	4	of	of	ADP
ejpam-6488	487	5	a	a	DET
ejpam-6488	487	6	singularly	singularly	ADV
ejpam-6488	487	7	perturbed	perturb	VERB
ejpam-6488	487	8	fredholm	fredholm	NOUN
ejpam-6488	487	9	equation	equation	NOUN
ejpam-6488	487	10	with	with	ADP
ejpam-6488	487	11	a	a	DET
ejpam-6488	487	12	rapidly	rapidly	ADV
ejpam-6488	487	13	varying	vary	VERB
ejpam-6488	487	14	kernel	kernel	NOUN
ejpam-6488	487	15	and	and	CCONJ
ejpam-6488	487	16	a	a	DET
ejpam-6488	487	17	rapidly	rapidly	ADV
ejpam-6488	487	18	oscillating	oscillate	VERB
ejpam-6488	487	19	inhomogeneity	inhomogeneity	NOUN
ejpam-6488	487	20	.	.	PUNCT
ejpam-6488	488	1	axioms	axiom	NOUN
ejpam-6488	488	2	,	,	PUNCT
ejpam-6488	488	3	11(41	11(41	NUM
ejpam-6488	488	4	)	)	PUNCT
ejpam-6488	488	5	,	,	PUNCT
ejpam-6488	488	6	2021	2021	NUM
ejpam-6488	488	7	.	.	PUNCT
ejpam-6488	489	1	[	[	X
ejpam-6488	489	2	23	23	NUM
ejpam-6488	489	3	]	]	X
ejpam-6488	489	4	b.	b.	PROPN
ejpam-6488	489	5	t.	t.	PROPN
ejpam-6488	489	6	kalimbetov	kalimbetov	PROPN
ejpam-6488	489	7	,	,	PUNCT
ejpam-6488	489	8	v.	v.	PROPN
ejpam-6488	489	9	f.	f.	PROPN
ejpam-6488	489	10	safonov	safonov	PROPN
ejpam-6488	489	11	,	,	PUNCT
ejpam-6488	489	12	and	and	CCONJ
ejpam-6488	489	13	d.	d.	PROPN
ejpam-6488	489	14	k.	k.	PROPN
ejpam-6488	489	15	zhaidakbayeva	zhaidakbayeva	PROPN
ejpam-6488	489	16	.	.	PUNCT
ejpam-6488	490	1	asymptotic	asymptotic	ADJ
ejpam-6488	490	2	solution	solution	NOUN
ejpam-6488	490	3	of	of	ADP
ejpam-6488	490	4	a	a	DET
ejpam-6488	490	5	singularly	singularly	ADV
ejpam-6488	490	6	perturbed	perturb	VERB
ejpam-6488	490	7	integro	integro	ADJ
ejpam-6488	490	8	-	-	PUNCT
ejpam-6488	490	9	differential	differential	NOUN
ejpam-6488	490	10	equation	equation	NOUN
ejpam-6488	490	11	with	with	ADP
ejpam-6488	490	12	exponential	exponential	ADJ
ejpam-6488	490	13	inhomogeneity	inhomogeneity	NOUN
ejpam-6488	490	14	.	.	PUNCT
ejpam-6488	491	1	axioms	axiom	NOUN
ejpam-6488	491	2	,	,	PUNCT
ejpam-6488	491	3	12(3):41	12(3):41	NUM
ejpam-6488	491	4	,	,	PUNCT
ejpam-6488	491	5	2023	2023	NUM
ejpam-6488	491	6	.	.	PUNCT
ejpam-6488	492	1	[	[	X
ejpam-6488	492	2	24	24	NUM
ejpam-6488	492	3	]	]	PUNCT
ejpam-6488	492	4	e.	e.	PROPN
ejpam-6488	492	5	abylkasymova	abylkasymova	PROPN
ejpam-6488	492	6	,	,	PUNCT
ejpam-6488	492	7	g.	g.	PROPN
ejpam-6488	492	8	beissenova	beissenova	PROPN
ejpam-6488	492	9	,	,	PUNCT
ejpam-6488	492	10	and	and	CCONJ
ejpam-6488	492	11	b.	b.	PROPN
ejpam-6488	492	12	kalimbetov	kalimbetov	PROPN
ejpam-6488	492	13	.	.	PUNCT
ejpam-6488	493	1	on	on	ADP
ejpam-6488	493	2	the	the	DET
ejpam-6488	493	3	asymptotic	asymptotic	ADJ
ejpam-6488	493	4	solutions	solution	NOUN
ejpam-6488	493	5	of	of	ADP
ejpam-6488	493	6	singulary	singulary	ADJ
ejpam-6488	493	7	perturbed	perturb	VERB
ejpam-6488	493	8	differential	differential	ADJ
ejpam-6488	493	9	systems	system	NOUN
ejpam-6488	493	10	of	of	ADP
ejpam-6488	493	11	fractional	fractional	ADJ
ejpam-6488	493	12	order	order	NOUN
ejpam-6488	493	13	.	.	PUNCT
ejpam-6488	494	1	journal	journal	NOUN
ejpam-6488	494	2	of	of	ADP
ejpam-6488	494	3	mathematics	mathematic	NOUN
ejpam-6488	494	4	and	and	CCONJ
ejpam-6488	494	5	computer	computer	NOUN
ejpam-6488	494	6	science	science	NOUN
ejpam-6488	494	7	,	,	PUNCT
ejpam-6488	494	8	24:165–172	24:165–172	NUM
ejpam-6488	494	9	,	,	PUNCT
ejpam-6488	494	10	2022	2022	NUM
ejpam-6488	494	11	.	.	PUNCT
ejpam-6488	495	1	[	[	X
ejpam-6488	495	2	25	25	NUM
ejpam-6488	495	3	]	]	PUNCT
ejpam-6488	495	4	m.	m.	PROPN
ejpam-6488	495	5	i.	i.	PROPN
ejpam-6488	495	6	akylbayev	akylbayev	PROPN
ejpam-6488	495	7	,	,	PUNCT
ejpam-6488	495	8	b.	b.	PROPN
ejpam-6488	495	9	t.	t.	PROPN
ejpam-6488	495	10	kalimbetov	kalimbetov	PROPN
ejpam-6488	495	11	,	,	PUNCT
ejpam-6488	495	12	and	and	CCONJ
ejpam-6488	495	13	d.	d.	PROPN
ejpam-6488	495	14	k.	k.	PROPN
ejpam-6488	495	15	zhaidakbayeva	zhaidakbayeva	PROPN
ejpam-6488	495	16	.	.	PUNCT
ejpam-6488	496	1	asymptotics	asymptotic	NOUN
ejpam-6488	496	2	solutions	solution	NOUN
ejpam-6488	496	3	of	of	ADP
ejpam-6488	496	4	a	a	DET
ejpam-6488	496	5	singularly	singularly	ADV
ejpam-6488	496	6	perturbed	perturb	VERB
ejpam-6488	496	7	integro	integro	ADJ
ejpam-6488	496	8	-	-	PUNCT
ejpam-6488	496	9	differential	differential	ADJ
ejpam-6488	496	10	fractional	fractional	ADJ
ejpam-6488	496	11	order	order	NOUN
ejpam-6488	496	12	derivative	derivative	ADJ
ejpam-6488	496	13	equation	equation	NOUN
ejpam-6488	496	14	with	with	ADP
ejpam-6488	496	15	rapidly	rapidly	ADV
ejpam-6488	496	16	oscillating	oscillate	VERB
ejpam-6488	496	17	coefficients	coefficient	NOUN
ejpam-6488	496	18	.	.	PUNCT
ejpam-6488	497	1	advances	advance	NOUN
ejpam-6488	497	2	in	in	ADP
ejpam-6488	497	3	the	the	DET
ejpam-6488	497	4	theory	theory	NOUN
ejpam-6488	497	5	of	of	ADP
ejpam-6488	497	6	nonlinear	nonlinear	ADJ
ejpam-6488	497	7	analysis	analysis	NOUN
ejpam-6488	497	8	and	and	CCONJ
ejpam-6488	497	9	its	its	PRON
ejpam-6488	497	10	applications	application	NOUN
ejpam-6488	497	11	,	,	PUNCT
ejpam-6488	497	12	7(2):441–454	7(2):441–454	NUM
ejpam-6488	497	13	,	,	PUNCT
ejpam-6488	497	14	2023	2023	NUM
ejpam-6488	497	15	.	.	PUNCT
ejpam-6488	498	1	[	[	X
ejpam-6488	498	2	26	26	NUM
ejpam-6488	498	3	]	]	PUNCT
ejpam-6488	498	4	m.	m.	PROPN
ejpam-6488	498	5	i.	i.	PROPN
ejpam-6488	498	6	akylbayev	akylbayev	PROPN
ejpam-6488	498	7	,	,	PUNCT
ejpam-6488	498	8	b.	b.	PROPN
ejpam-6488	498	9	t.	t.	PROPN
ejpam-6488	498	10	kalimbetov	kalimbetov	PROPN
ejpam-6488	498	11	,	,	PUNCT
ejpam-6488	498	12	and	and	CCONJ
ejpam-6488	498	13	n.	n.	PROPN
ejpam-6488	498	14	a.	a.	NOUN
ejpam-6488	498	15	pardaeva	pardaeva	PROPN
ejpam-6488	498	16	.	.	PUNCT
ejpam-6488	499	1	influence	influence	NOUN
ejpam-6488	499	2	of	of	ADP
ejpam-6488	499	3	rapidly	rapidly	ADV
ejpam-6488	499	4	oscillating	oscillate	VERB
ejpam-6488	499	5	inhomogeneities	inhomogeneity	NOUN
ejpam-6488	499	6	in	in	ADP
ejpam-6488	499	7	the	the	DET
ejpam-6488	499	8	formation	formation	NOUN
ejpam-6488	499	9	of	of	ADP
ejpam-6488	499	10	additional	additional	ADJ
ejpam-6488	499	11	boundary	boundary	ADJ
ejpam-6488	499	12	layers	layer	NOUN
ejpam-6488	499	13	for	for	ADP
ejpam-6488	499	14	singularly	singularly	ADV
ejpam-6488	499	15	perturbed	perturb	VERB
ejpam-6488	499	16	integro	integro	ADJ
ejpam-6488	499	17	-	-	PUNCT
ejpam-6488	499	18	differential	differential	NOUN
ejpam-6488	499	19	systems	system	NOUN
ejpam-6488	499	20	.	.	PUNCT
ejpam-6488	500	1	advances	advance	NOUN
ejpam-6488	500	2	in	in	ADP
ejpam-6488	500	3	the	the	DET
ejpam-6488	500	4	theory	theory	NOUN
ejpam-6488	500	5	of	of	ADP
ejpam-6488	500	6	nonlinear	nonlinear	ADJ
ejpam-6488	500	7	analysis	analysis	NOUN
ejpam-6488	500	8	and	and	CCONJ
ejpam-6488	500	9	its	its	PRON
ejpam-6488	500	10	applications	application	NOUN
ejpam-6488	500	11	,	,	PUNCT
ejpam-6488	500	12	7(3):1–13	7(3):1–13	NUM
ejpam-6488	500	13	,	,	PUNCT
ejpam-6488	500	14	2023	2023	NUM
ejpam-6488	500	15	.	.	PUNCT
ejpam-6488	501	1	[	[	X
ejpam-6488	501	2	27	27	NUM
ejpam-6488	501	3	]	]	PUNCT
ejpam-6488	501	4	a.	a.	NOUN
ejpam-6488	501	5	a.	a.	NOUN
ejpam-6488	501	6	bobodzhanov	bobodzhanov	PROPN
ejpam-6488	501	7	,	,	PUNCT
ejpam-6488	501	8	b.	b.	PROPN
ejpam-6488	501	9	t.	t.	PROPN
ejpam-6488	501	10	kalimbetov	kalimbetov	PROPN
ejpam-6488	501	11	,	,	PUNCT
ejpam-6488	501	12	and	and	CCONJ
ejpam-6488	501	13	n.	n.	PROPN
ejpam-6488	501	14	a.	a.	NOUN
ejpam-6488	501	15	pardaeva	pardaeva	PROPN
ejpam-6488	501	16	.	.	PUNCT
ejpam-6488	502	1	construction	construction	NOUN
ejpam-6488	502	2	of	of	ADP
ejpam-6488	502	3	a	a	DET
ejpam-6488	502	4	regularized	regularize	VERB
ejpam-6488	502	5	asymptotic	asymptotic	ADJ
ejpam-6488	502	6	solution	solution	NOUN
ejpam-6488	502	7	of	of	ADP
ejpam-6488	502	8	an	an	DET
ejpam-6488	502	9	integro	integro	ADJ
ejpam-6488	502	10	-	-	PUNCT
ejpam-6488	502	11	differential	differential	NOUN
ejpam-6488	502	12	equation	equation	NOUN
ejpam-6488	502	13	with	with	ADP
ejpam-6488	502	14	a	a	DET
ejpam-6488	502	15	rapidly	rapidly	ADV
ejpam-6488	502	16	osm	osm	PROPN
ejpam-6488	502	17	.	.	PUNCT
ejpam-6488	502	18	begaidarov	begaidarov	PROPN
ejpam-6488	502	19	,	,	PUNCT
ejpam-6488	502	20	d.	d.	PROPN
ejpam-6488	502	21	bibulova	bibulova	PROPN
ejpam-6488	502	22	,	,	PUNCT
ejpam-6488	502	23	b.	b.	PROPN
ejpam-6488	502	24	kalimbetov	kalimbetov	PROPN
ejpam-6488	502	25	/	/	SYM
ejpam-6488	502	26	eur	eur	PROPN
ejpam-6488	502	27	.	.	PUNCT
ejpam-6488	503	1	j.	j.	PROPN
ejpam-6488	503	2	pure	pure	PROPN
ejpam-6488	503	3	appl	appl	PROPN
ejpam-6488	503	4	.	.	PROPN
ejpam-6488	503	5	math	math	PROPN
ejpam-6488	503	6	,	,	PUNCT
ejpam-6488	503	7	18	18	NUM
ejpam-6488	503	8	(	(	PUNCT
ejpam-6488	503	9	4	4	NUM
ejpam-6488	503	10	)	)	PUNCT
ejpam-6488	503	11	(	(	PUNCT
ejpam-6488	503	12	2025	2025	NUM
ejpam-6488	503	13	)	)	PUNCT
ejpam-6488	503	14	,	,	PUNCT
ejpam-6488	503	15	6488	6488	NUM
ejpam-6488	503	16	20	20	NUM
ejpam-6488	503	17	of	of	ADP
ejpam-6488	503	18	20	20	NUM
ejpam-6488	503	19	cillating	cillate	VERB
ejpam-6488	503	20	cosine	cosine	NOUN
ejpam-6488	503	21	.	.	PUNCT
ejpam-6488	504	1	journal	journal	PROPN
ejpam-6488	504	2	of	of	ADP
ejpam-6488	504	3	mathematics	mathematic	NOUN
ejpam-6488	504	4	and	and	CCONJ
ejpam-6488	504	5	computer	computer	NOUN
ejpam-6488	504	6	science	science	NOUN
ejpam-6488	504	7	,	,	PUNCT
ejpam-6488	504	8	32(1):74–85	32(1):74–85	NUM
ejpam-6488	504	9	,	,	PUNCT
ejpam-6488	504	10	2024	2024	NUM
ejpam-6488	504	11	.	.	PUNCT
ejpam-6488	505	1	[	[	X
ejpam-6488	505	2	28	28	NUM
ejpam-6488	505	3	]	]	X
ejpam-6488	505	4	m.	m.	NOUN
ejpam-6488	505	5	a.	a.	PROPN
ejpam-6488	505	6	bobodzhanova	bobodzhanova	PROPN
ejpam-6488	505	7	,	,	PUNCT
ejpam-6488	505	8	b.	b.	PROPN
ejpam-6488	505	9	t.	t.	PROPN
ejpam-6488	505	10	kalimbetov	kalimbetov	PROPN
ejpam-6488	505	11	,	,	PUNCT
ejpam-6488	505	12	and	and	CCONJ
ejpam-6488	505	13	g.	g.	PROPN
ejpam-6488	505	14	m.	m.	PROPN
ejpam-6488	505	15	bekmakhanbet	bekmakhanbet	PROPN
ejpam-6488	505	16	.	.	PUNCT
ejpam-6488	506	1	asymptotics	asymptotic	NOUN
ejpam-6488	506	2	of	of	ADP
ejpam-6488	506	3	solutions	solution	NOUN
ejpam-6488	506	4	of	of	ADP
ejpam-6488	506	5	a	a	DET
ejpam-6488	506	6	singularly	singularly	ADV
ejpam-6488	506	7	perturbed	perturb	VERB
ejpam-6488	506	8	integro	integro	ADJ
ejpam-6488	506	9	-	-	PUNCT
ejpam-6488	506	10	differential	differential	ADJ
ejpam-6488	506	11	fractional	fractional	ADJ
ejpam-6488	506	12	-	-	PUNCT
ejpam-6488	506	13	order	order	NOUN
ejpam-6488	506	14	derivative	derivative	ADJ
ejpam-6488	506	15	equation	equation	NOUN
ejpam-6488	506	16	with	with	ADP
ejpam-6488	506	17	rapidly	rapidly	ADV
ejpam-6488	506	18	oscillating	oscillate	VERB
ejpam-6488	506	19	inhomogeneity	inhomogeneity	NOUN
ejpam-6488	506	20	.	.	PUNCT
ejpam-6488	507	1	bulletin	bulletin	NOUN
ejpam-6488	507	2	of	of	ADP
ejpam-6488	507	3	karsu	karsu	NOUN
ejpam-6488	507	4	,	,	PUNCT
ejpam-6488	507	5	series	series	NOUN
ejpam-6488	507	6	mathematics	mathematic	NOUN
ejpam-6488	507	7	,	,	PUNCT
ejpam-6488	507	8	104(4):56–67	104(4):56–67	NUM
ejpam-6488	507	9	,	,	PUNCT
ejpam-6488	507	10	2021	2021	NUM
ejpam-6488	507	11	.	.	PUNCT
ejpam-6488	508	1	[	[	X
ejpam-6488	508	2	29	29	NUM
ejpam-6488	508	3	]	]	PUNCT
ejpam-6488	508	4	a.	a.	NOUN
ejpam-6488	508	5	a.	a.	NOUN
ejpam-6488	508	6	bobodzhanov	bobodzhanov	PROPN
ejpam-6488	508	7	and	and	CCONJ
ejpam-6488	508	8	v.	v.	PROPN
ejpam-6488	508	9	f.	f.	PROPN
ejpam-6488	508	10	safonov	safonov	PROPN
ejpam-6488	508	11	.	.	PUNCT
ejpam-6488	509	1	regularized	regularize	VERB
ejpam-6488	509	2	asymptotic	asymptotic	ADJ
ejpam-6488	509	3	solutions	solution	NOUN
ejpam-6488	509	4	of	of	ADP
ejpam-6488	509	5	the	the	DET
ejpam-6488	509	6	initial	initial	ADJ
ejpam-6488	509	7	problem	problem	NOUN
ejpam-6488	509	8	of	of	ADP
ejpam-6488	509	9	systems	system	NOUN
ejpam-6488	509	10	of	of	ADP
ejpam-6488	509	11	integro	integro	ADJ
ejpam-6488	509	12	-	-	PUNCT
ejpam-6488	509	13	partial	partial	ADJ
ejpam-6488	509	14	differential	differential	NOUN
ejpam-6488	509	15	equations	equation	NOUN
ejpam-6488	509	16	.	.	PUNCT
ejpam-6488	510	1	mathematical	mathematical	ADJ
ejpam-6488	510	2	notes	note	NOUN
ejpam-6488	510	3	,	,	PUNCT
ejpam-6488	510	4	102(1):22–30	102(1):22–30	NUM
ejpam-6488	510	5	,	,	PUNCT
ejpam-6488	510	6	2017	2017	NUM
ejpam-6488	510	7	.	.	PUNCT
ejpam-6488	511	1	[	[	X
ejpam-6488	511	2	30	30	NUM
ejpam-6488	511	3	]	]	PUNCT
ejpam-6488	511	4	a.	a.	NOUN
ejpam-6488	511	5	a.	a.	NOUN
ejpam-6488	511	6	bobodzhanov	bobodzhanov	PROPN
ejpam-6488	511	7	and	and	CCONJ
ejpam-6488	511	8	v.	v.	PROPN
ejpam-6488	511	9	f.	f.	PROPN
ejpam-6488	511	10	safonov	safonov	PROPN
ejpam-6488	511	11	.	.	PUNCT
ejpam-6488	512	1	regularized	regularize	VERB
ejpam-6488	512	2	asymptotics	asymptotic	NOUN
ejpam-6488	512	3	of	of	ADP
ejpam-6488	512	4	solutions	solution	NOUN
ejpam-6488	512	5	to	to	ADP
ejpam-6488	512	6	integro	integro	ADJ
ejpam-6488	512	7	-	-	PUNCT
ejpam-6488	512	8	differential	differential	ADJ
ejpam-6488	512	9	partial	partial	ADJ
ejpam-6488	512	10	differential	differential	NOUN
ejpam-6488	512	11	equations	equation	NOUN
ejpam-6488	512	12	with	with	ADP
ejpam-6488	512	13	rapidly	rapidly	ADV
ejpam-6488	512	14	varying	vary	VERB
ejpam-6488	512	15	kernels	kernel	NOUN
ejpam-6488	512	16	.	.	PUNCT
ejpam-6488	513	1	ufimsk	ufimsk	PROPN
ejpam-6488	513	2	.	.	PUNCT
ejpam-6488	513	3	math	math	NOUN
ejpam-6488	513	4	.	.	PUNCT
ejpam-6488	514	1	zh	zh	PROPN
ejpam-6488	514	2	.	.	PROPN
ejpam-6488	514	3	,	,	PUNCT
ejpam-6488	514	4	10(3):3–12	10(3):3–12	NUM
ejpam-6488	514	5	,	,	PUNCT
ejpam-6488	514	6	2018	2018	NUM
ejpam-6488	514	7	.	.	PUNCT
ejpam-6488	515	1	[	[	X
ejpam-6488	515	2	31	31	NUM
ejpam-6488	515	3	]	]	PUNCT
ejpam-6488	515	4	b.	b.	PROPN
ejpam-6488	515	5	t.	t.	PROPN
ejpam-6488	515	6	kalimbetov	kalimbetov	PROPN
ejpam-6488	515	7	,	,	PUNCT
ejpam-6488	515	8	n.	n.	PROPN
ejpam-6488	515	9	a.	a.	NOUN
ejpam-6488	515	10	pardaeva	pardaeva	PROPN
ejpam-6488	515	11	,	,	PUNCT
ejpam-6488	515	12	and	and	CCONJ
ejpam-6488	515	13	l.	l.	PROPN
ejpam-6488	515	14	d.	d.	PROPN
ejpam-6488	515	15	sharipova	sharipova	PROPN
ejpam-6488	515	16	.	.	PUNCT
ejpam-6488	516	1	asymptotic	asymptotic	ADJ
ejpam-6488	516	2	solutions	solution	NOUN
ejpam-6488	516	3	of	of	ADP
ejpam-6488	516	4	integro	integro	ADJ
ejpam-6488	516	5	-	-	PUNCT
ejpam-6488	516	6	differential	differential	NOUN
ejpam-6488	516	7	equations	equation	NOUN
ejpam-6488	516	8	with	with	ADP
ejpam-6488	516	9	partial	partial	ADJ
ejpam-6488	516	10	derivatives	derivative	NOUN
ejpam-6488	516	11	and	and	CCONJ
ejpam-6488	516	12	with	with	ADP
ejpam-6488	516	13	rapidly	rapidly	ADV
ejpam-6488	516	14	varying	vary	VERB
ejpam-6488	516	15	kernel	kernel	NOUN
ejpam-6488	516	16	.	.	PUNCT
ejpam-6488	517	1	semr	semr	PROPN
ejpam-6488	517	2	,	,	PUNCT
ejpam-6488	517	3	16:1623–1632	16:1623–1632	PROPN
ejpam-6488	517	4	,	,	PUNCT
ejpam-6488	517	5	2019	2019	NUM
ejpam-6488	517	6	.	.	PUNCT
ejpam-6488	518	1	[	[	X
ejpam-6488	518	2	32	32	NUM
ejpam-6488	518	3	]	]	PUNCT
ejpam-6488	518	4	b.	b.	PROPN
ejpam-6488	518	5	t.	t.	PROPN
ejpam-6488	518	6	kalimbetov	kalimbetov	PROPN
ejpam-6488	518	7	,	,	PUNCT
ejpam-6488	518	8	a.	a.	PROPN
ejpam-6488	518	9	n.	n.	PROPN
ejpam-6488	518	10	temirbekov	temirbekov	PROPN
ejpam-6488	518	11	,	,	PUNCT
ejpam-6488	518	12	and	and	CCONJ
ejpam-6488	518	13	a.	a.	PROPN
ejpam-6488	518	14	s.	s.	PROPN
ejpam-6488	518	15	tulep	tulep	PROPN
ejpam-6488	518	16	.	.	PUNCT
ejpam-6488	519	1	asymptotic	asymptotic	ADJ
ejpam-6488	519	2	solutions	solution	NOUN
ejpam-6488	519	3	of	of	ADP
ejpam-6488	519	4	scalar	scalar	ADJ
ejpam-6488	519	5	integro	integro	ADJ
ejpam-6488	519	6	-	-	PUNCT
ejpam-6488	519	7	differential	differential	NOUN
ejpam-6488	519	8	equations	equation	NOUN
ejpam-6488	519	9	with	with	ADP
ejpam-6488	519	10	partial	partial	ADJ
ejpam-6488	519	11	derivatives	derivative	NOUN
ejpam-6488	519	12	and	and	CCONJ
ejpam-6488	519	13	with	with	ADP
ejpam-6488	519	14	fast	fast	ADJ
ejpam-6488	519	15	oscillating	oscillate	VERB
ejpam-6488	519	16	coefficients	coefficient	NOUN
ejpam-6488	519	17	.	.	PUNCT
ejpam-6488	520	1	ejpam	ejpam	NOUN
ejpam-6488	520	2	,	,	PUNCT
ejpam-6488	520	3	13(2):287–302	13(2):287–302	NUM
ejpam-6488	520	4	,	,	PUNCT
ejpam-6488	520	5	2020	2020	NUM
ejpam-6488	520	6	.	.	PUNCT
ejpam-6488	521	1	[	[	X
ejpam-6488	521	2	33	33	NUM
ejpam-6488	521	3	]	]	PUNCT
ejpam-6488	521	4	b.	b.	PROPN
ejpam-6488	521	5	t.	t.	PROPN
ejpam-6488	521	6	kalimbetov	kalimbetov	PROPN
ejpam-6488	521	7	and	and	CCONJ
ejpam-6488	521	8	o.	o.	PROPN
ejpam-6488	521	9	d.	d.	PROPN
ejpam-6488	521	10	tuychiev	tuychiev	PROPN
ejpam-6488	521	11	.	.	PUNCT
ejpam-6488	522	1	asymptotic	asymptotic	ADJ
ejpam-6488	522	2	solution	solution	NOUN
ejpam-6488	522	3	of	of	ADP
ejpam-6488	522	4	the	the	DET
ejpam-6488	522	5	cauchy	cauchy	ADJ
ejpam-6488	522	6	problem	problem	NOUN
ejpam-6488	522	7	for	for	ADP
ejpam-6488	522	8	the	the	DET
ejpam-6488	522	9	singularly	singularly	ADV
ejpam-6488	522	10	perturbed	perturb	VERB
ejpam-6488	522	11	partial	partial	ADJ
ejpam-6488	522	12	integro	integro	ADJ
ejpam-6488	522	13	-	-	PUNCT
ejpam-6488	522	14	differential	differential	NOUN
ejpam-6488	522	15	equation	equation	NOUN
ejpam-6488	522	16	with	with	ADP
ejpam-6488	522	17	rapidly	rapidly	ADV
ejpam-6488	522	18	oscillating	oscillate	VERB
ejpam-6488	522	19	coefficients	coefficient	NOUN
ejpam-6488	522	20	and	and	CCONJ
ejpam-6488	522	21	with	with	ADP
ejpam-6488	522	22	rapidly	rapidly	ADV
ejpam-6488	522	23	oscillating	oscillate	VERB
ejpam-6488	522	24	heterogeneity	heterogeneity	NOUN
ejpam-6488	522	25	.	.	PUNCT
ejpam-6488	523	1	open	open	ADJ
ejpam-6488	523	2	mathematics	mathematic	NOUN
ejpam-6488	523	3	,	,	PUNCT
ejpam-6488	523	4	9(1):244	9(1):244	NUM
ejpam-6488	523	5	–	–	PUNCT
ejpam-6488	523	6	25	25	NUM
ejpam-6488	523	7	,	,	PUNCT
ejpam-6488	523	8	2021	2021	NUM
ejpam-6488	523	9	.	.	PUNCT
ejpam-6488	524	1	[	[	X
ejpam-6488	524	2	34	34	NUM
ejpam-6488	524	3	]	]	X
ejpam-6488	524	4	v.	v.	PROPN
ejpam-6488	524	5	f.	f.	PROPN
ejpam-6488	524	6	safonov	safonov	PROPN
ejpam-6488	524	7	and	and	CCONJ
ejpam-6488	524	8	a.	a.	NOUN
ejpam-6488	524	9	a.	a.	NOUN
ejpam-6488	524	10	bobodzhanov	bobodzhanov	PROPN
ejpam-6488	524	11	.	.	PUNCT
ejpam-6488	525	1	course	course	NOUN
ejpam-6488	525	2	of	of	ADP
ejpam-6488	525	3	higher	high	ADJ
ejpam-6488	525	4	mathematics	mathematic	NOUN
ejpam-6488	525	5	.	.	PUNCT
ejpam-6488	526	1	singularly	singularly	ADV
ejpam-6488	526	2	perturbed	perturb	VERB
ejpam-6488	526	3	equations	equation	NOUN
ejpam-6488	526	4	and	and	CCONJ
ejpam-6488	526	5	the	the	DET
ejpam-6488	526	6	regularization	regularization	NOUN
ejpam-6488	526	7	method	method	NOUN
ejpam-6488	526	8	.	.	PUNCT
ejpam-6488	527	1	textbook	textbook	NOUN
ejpam-6488	527	2	.	.	PUNCT
ejpam-6488	528	1	publishing	publishing	PROPN
ejpam-6488	528	2	house	house	PROPN
ejpam-6488	528	3	mpei	mpei	PROPN
ejpam-6488	528	4	,	,	PUNCT
ejpam-6488	528	5	moscow	moscow	PROPN
ejpam-6488	528	6	,	,	PUNCT
ejpam-6488	528	7	russia	russia	NOUN
ejpam-6488	528	8	,	,	PUNCT
ejpam-6488	528	9	2012	2012	NUM
ejpam-6488	528	10	.	.	PUNCT
ejpam-6488	529	1	[	[	X
ejpam-6488	529	2	35	35	NUM
ejpam-6488	529	3	]	]	PUNCT
ejpam-6488	529	4	p.	p.	PROPN
ejpam-6488	529	5	hartman	hartman	PROPN
ejpam-6488	529	6	.	.	PUNCT
ejpam-6488	530	1	ordinary	ordinary	ADJ
ejpam-6488	530	2	differential	differential	ADJ
ejpam-6488	530	3	equations	equation	NOUN
ejpam-6488	530	4	.	.	PUNCT
ejpam-6488	531	1	siam	siam	ADJ
ejpam-6488	531	2	classics	classic	NOUN
ejpam-6488	531	3	in	in	ADP
ejpam-6488	531	4	applied	applied	ADJ
ejpam-6488	531	5	mathematics	mathematic	NOUN
ejpam-6488	531	6	38	38	NUM
ejpam-6488	531	7	,	,	PUNCT
ejpam-6488	531	8	society	society	NOUN
ejpam-6488	531	9	for	for	ADP
ejpam-6488	531	10	industrial	industrial	ADJ
ejpam-6488	531	11	and	and	CCONJ
ejpam-6488	531	12	applied	applied	ADJ
ejpam-6488	531	13	mathematics	mathematic	NOUN
ejpam-6488	531	14	,	,	PUNCT
ejpam-6488	531	15	philadelphia	philadelphia	PROPN
ejpam-6488	531	16	,	,	PUNCT
ejpam-6488	531	17	usa	usa	PROPN
ejpam-6488	531	18	,	,	PUNCT
ejpam-6488	531	19	2	2	NUM
ejpam-6488	531	20	edition	edition	NOUN
ejpam-6488	531	21	,	,	PUNCT
ejpam-6488	531	22	2002	2002	NUM
ejpam-6488	531	23	.	.	PUNCT
ejpam-6488	532	1	[	[	X
ejpam-6488	532	2	36	36	NUM
ejpam-6488	532	3	]	]	PUNCT
ejpam-6488	532	4	a.	a.	PROPN
ejpam-6488	532	5	b.	b.	PROPN
ejpam-6488	532	6	vasil’yeva	vasil’yeva	PROPN
ejpam-6488	532	7	and	and	CCONJ
ejpam-6488	532	8	v.	v.	PROPN
ejpam-6488	532	9	f.	f.	PROPN
ejpam-6488	532	10	butuzov	butuzov	PROPN
ejpam-6488	532	11	.	.	PUNCT
ejpam-6488	533	1	asymptotic	asymptotic	ADJ
ejpam-6488	533	2	methods	method	NOUN
ejpam-6488	533	3	in	in	ADP
ejpam-6488	533	4	the	the	DET
ejpam-6488	533	5	theory	theory	NOUN
ejpam-6488	533	6	of	of	ADP
ejpam-6488	533	7	singular	singular	PROPN
ejpam-6488	533	8	perturbations	perturbation	NOUN
ejpam-6488	533	9	.	.	PUNCT
ejpam-6488	534	1	vysshaya	vysshaya	PROPN
ejpam-6488	534	2	shkola	shkola	PROPN
ejpam-6488	534	3	,	,	PUNCT
ejpam-6488	534	4	moscow	moscow	PROPN
ejpam-6488	534	5	,	,	PUNCT
ejpam-6488	534	6	russia	russia	NOUN
ejpam-6488	534	7	,	,	PUNCT
ejpam-6488	534	8	1990	1990	NUM
ejpam-6488	534	9	.	.	PUNCT
ejpam-6488	535	1	[	[	X
ejpam-6488	535	2	37	37	NUM
ejpam-6488	535	3	]	]	PUNCT
ejpam-6488	535	4	m.	m.	NOUN
ejpam-6488	535	5	i.	i.	PROPN
ejpam-6488	535	6	imanaliev	imanaliev	PROPN
ejpam-6488	535	7	.	.	PUNCT
ejpam-6488	536	1	oscillations	oscillation	NOUN
ejpam-6488	536	2	and	and	CCONJ
ejpam-6488	536	3	stability	stability	NOUN
ejpam-6488	536	4	of	of	ADP
ejpam-6488	536	5	solutions	solution	NOUN
ejpam-6488	536	6	of	of	ADP
ejpam-6488	536	7	singularly	singularly	ADV
ejpam-6488	536	8	perturbed	perturb	VERB
ejpam-6488	536	9	integrodifferential	integrodifferential	ADJ
ejpam-6488	536	10	systems	system	NOUN
ejpam-6488	536	11	.	.	PUNCT
ejpam-6488	537	1	publishing	publish	VERB
ejpam-6488	537	2	house	house	NOUN
ejpam-6488	537	3	”	"	PUNCT
ejpam-6488	537	4	ilim	ilim	PROPN
ejpam-6488	537	5	”	"	PUNCT
ejpam-6488	537	6	,	,	PUNCT
ejpam-6488	537	7	frunze	frunze	PROPN
ejpam-6488	537	8	,	,	PUNCT
ejpam-6488	537	9	kyrgyzstan	kyrgyzstan	PROPN
ejpam-6488	537	10	,	,	PUNCT
ejpam-6488	537	11	1974	1974	NUM
ejpam-6488	537	12	.	.	PUNCT
ejpam-6488	538	1	[	[	X
ejpam-6488	538	2	38	38	NUM
ejpam-6488	538	3	]	]	PUNCT
ejpam-6488	538	4	m.	m.	NOUN
ejpam-6488	538	5	k.	k.	PROPN
ejpam-6488	538	6	dauylbaev	dauylbaev	PROPN
ejpam-6488	538	7	.	.	PUNCT
ejpam-6488	539	1	the	the	DET
ejpam-6488	539	2	asymptotic	asymptotic	ADJ
ejpam-6488	539	3	behavior	behavior	NOUN
ejpam-6488	539	4	of	of	ADP
ejpam-6488	539	5	solutions	solution	NOUN
ejpam-6488	539	6	to	to	PART
ejpam-6488	539	7	singularly	singularly	ADV
ejpam-6488	539	8	perturbed	perturb	VERB
ejpam-6488	539	9	nonlinear	nonlinear	ADJ
ejpam-6488	539	10	integro	integro	ADJ
ejpam-6488	539	11	-	-	PUNCT
ejpam-6488	539	12	differential	differential	NOUN
ejpam-6488	539	13	equations	equation	NOUN
ejpam-6488	539	14	.	.	PUNCT
ejpam-6488	540	1	siberian	siberian	PROPN
ejpam-6488	540	2	mathematical	mathematical	ADJ
ejpam-6488	540	3	journal	journal	NOUN
ejpam-6488	540	4	,	,	PUNCT
ejpam-6488	540	5	41(1):49–60	41(1):49–60	PROPN
ejpam-6488	540	6	,	,	PUNCT
ejpam-6488	540	7	2000	2000	NUM
ejpam-6488	540	8	.	.	PUNCT