id	sid	tid	token	lemma	pos
ejpam-6118	1	1	european	european	PROPN
ejpam-6118	1	2	journal	journal	PROPN
ejpam-6118	1	3	of	of	ADP
ejpam-6118	1	4	pure	pure	ADJ
ejpam-6118	1	5	and	and	CCONJ
ejpam-6118	1	6	applied	applied	ADJ
ejpam-6118	1	7	mathematics	mathematic	NOUN
ejpam-6118	1	8	2025	2025	NUM
ejpam-6118	1	9	,	,	PUNCT
ejpam-6118	1	10	vol	vol	NOUN
ejpam-6118	1	11	.	.	PROPN
ejpam-6118	1	12	18	18	NUM
ejpam-6118	1	13	,	,	PUNCT
ejpam-6118	1	14	issue	issue	NOUN
ejpam-6118	1	15	3	3	NUM
ejpam-6118	1	16	,	,	PUNCT
ejpam-6118	1	17	article	article	NOUN
ejpam-6118	1	18	number	number	NOUN
ejpam-6118	1	19	6544	6544	NUM
ejpam-6118	1	20	issn	issn	PROPN
ejpam-6118	1	21	1307	1307	NUM
ejpam-6118	1	22	-	-	SYM
ejpam-6118	1	23	5543	5543	NUM
ejpam-6118	1	24	–	–	PUNCT
ejpam-6118	1	25	ejpam.com	ejpam.com	X
ejpam-6118	1	26	published	publish	VERB
ejpam-6118	1	27	by	by	ADP
ejpam-6118	1	28	new	new	PROPN
ejpam-6118	1	29	york	york	PROPN
ejpam-6118	1	30	business	business	PROPN
ejpam-6118	1	31	global	global	ADJ
ejpam-6118	1	32	asymptotic	asymptotic	ADJ
ejpam-6118	1	33	solution	solution	NOUN
ejpam-6118	1	34	of	of	ADP
ejpam-6118	1	35	a	a	DET
ejpam-6118	1	36	singularly	singularly	ADV
ejpam-6118	1	37	perturbed	perturb	VERB
ejpam-6118	1	38	integro	integro	ADJ
ejpam-6118	1	39	-	-	PUNCT
ejpam-6118	1	40	differential	differential	ADJ
ejpam-6118	1	41	fractional	fractional	ADJ
ejpam-6118	1	42	order	order	NOUN
ejpam-6118	1	43	derivative	derivative	ADJ
ejpam-6118	1	44	equation	equation	NOUN
ejpam-6118	1	45	with	with	ADP
ejpam-6118	1	46	rapidly	rapidly	ADV
ejpam-6118	1	47	oscillating	oscillate	VERB
ejpam-6118	1	48	in	in	ADP
ejpam-6118	1	49	-	-	PUNCT
ejpam-6118	1	50	homogeneity	homogeneity	NOUN
ejpam-6118	1	51	abdukhafiz	abdukhafiz	ADJ
ejpam-6118	1	52	bobodzhanov1	bobodzhanov1	NOUN
ejpam-6118	1	53	,	,	PUNCT
ejpam-6118	1	54	burkhan	burkhan	PROPN
ejpam-6118	1	55	kalimbetov1,∗	kalimbetov1,∗	PROPN
ejpam-6118	1	56	,	,	PUNCT
ejpam-6118	1	57	kassymkhan	kassymkhan	NOUN
ejpam-6118	1	58	turekhanov3	turekhanov3	PROPN
ejpam-6118	1	59	1	1	NUM
ejpam-6118	1	60	department	department	NOUN
ejpam-6118	1	61	higher	high	ADJ
ejpam-6118	1	62	mathematics	mathematic	NOUN
ejpam-6118	1	63	,	,	PUNCT
ejpam-6118	1	64	national	national	ADJ
ejpam-6118	1	65	research	research	PROPN
ejpam-6118	1	66	university	university	PROPN
ejpam-6118	1	67	,	,	PUNCT
ejpam-6118	1	68	mpei	mpei	PROPN
ejpam-6118	1	69	,	,	PUNCT
ejpam-6118	1	70	moscow	moscow	PROPN
ejpam-6118	1	71	,	,	PUNCT
ejpam-6118	1	72	russian	russian	PROPN
ejpam-6118	1	73	federation	federation	PROPN
ejpam-6118	1	74	2	2	NUM
ejpam-6118	1	75	department	department	NOUN
ejpam-6118	1	76	mathematics	mathematic	NOUN
ejpam-6118	1	77	,	,	PUNCT
ejpam-6118	1	78	a.	a.	NOUN
ejpam-6118	1	79	kuatbekov	kuatbekov	PROPN
ejpam-6118	1	80	peoples	people	NOUN
ejpam-6118	1	81	’	’	PART
ejpam-6118	1	82	friendship	friendship	NOUN
ejpam-6118	1	83	university	university	NOUN
ejpam-6118	1	84	,	,	PUNCT
ejpam-6118	1	85	shymkent	shymkent	NOUN
ejpam-6118	1	86	,	,	PUNCT
ejpam-6118	1	87	kazakhstan	kazakhstan	PROPN
ejpam-6118	1	88	3	3	NUM
ejpam-6118	1	89	department	department	NOUN
ejpam-6118	1	90	mathematics	mathematic	NOUN
ejpam-6118	1	91	,	,	PUNCT
ejpam-6118	1	92	m.	m.	NOUN
ejpam-6118	1	93	auezov	auezov	PROPN
ejpam-6118	1	94	south	south	PROPN
ejpam-6118	1	95	kazakhstan	kazakhstan	PROPN
ejpam-6118	1	96	university	university	PROPN
ejpam-6118	1	97	,	,	PUNCT
ejpam-6118	1	98	shymkent	shymkent	PROPN
ejpam-6118	1	99	,	,	PUNCT
ejpam-6118	1	100	kazakhstan	kazakhstan	PROPN
ejpam-6118	1	101	abstract	abstract	NOUN
ejpam-6118	1	102	.	.	PUNCT
ejpam-6118	2	1	the	the	DET
ejpam-6118	2	2	main	main	ADJ
ejpam-6118	2	3	objective	objective	NOUN
ejpam-6118	2	4	of	of	ADP
ejpam-6118	2	5	the	the	DET
ejpam-6118	2	6	present	present	ADJ
ejpam-6118	2	7	article	article	NOUN
ejpam-6118	2	8	is	be	AUX
ejpam-6118	2	9	to	to	PART
ejpam-6118	2	10	identify	identify	VERB
ejpam-6118	2	11	the	the	DET
ejpam-6118	2	12	influence	influence	NOUN
ejpam-6118	2	13	of	of	ADP
ejpam-6118	2	14	an	an	DET
ejpam-6118	2	15	exponentially	exponentially	ADV
ejpam-6118	2	16	oscillating	oscillate	VERB
ejpam-6118	2	17	heterogeneity	heterogeneity	NOUN
ejpam-6118	2	18	and	and	CCONJ
ejpam-6118	2	19	an	an	DET
ejpam-6118	2	20	integral	integral	ADJ
ejpam-6118	2	21	operator	operator	NOUN
ejpam-6118	2	22	on	on	ADP
ejpam-6118	2	23	the	the	DET
ejpam-6118	2	24	structure	structure	NOUN
ejpam-6118	2	25	of	of	ADP
ejpam-6118	2	26	the	the	DET
ejpam-6118	2	27	asymptotic	asymptotic	NOUN
ejpam-6118	2	28	of	of	ADP
ejpam-6118	2	29	the	the	DET
ejpam-6118	2	30	solution	solution	NOUN
ejpam-6118	2	31	of	of	ADP
ejpam-6118	2	32	the	the	DET
ejpam-6118	2	33	initial	initial	ADJ
ejpam-6118	2	34	value	value	NOUN
ejpam-6118	2	35	problem	problem	NOUN
ejpam-6118	2	36	for	for	ADP
ejpam-6118	2	37	a	a	DET
ejpam-6118	2	38	linear	linear	ADJ
ejpam-6118	2	39	singularly	singularly	ADV
ejpam-6118	2	40	perturbed	perturb	VERB
ejpam-6118	2	41	integro	integro	ADJ
ejpam-6118	2	42	-	-	PUNCT
ejpam-6118	2	43	differential	differential	NOUN
ejpam-6118	2	44	equation	equation	NOUN
ejpam-6118	2	45	with	with	ADP
ejpam-6118	2	46	a	a	DET
ejpam-6118	2	47	fractional	fractional	ADJ
ejpam-6118	2	48	derivative	derivative	NOUN
ejpam-6118	2	49	and	and	CCONJ
ejpam-6118	2	50	a	a	DET
ejpam-6118	2	51	rapidly	rapidly	ADV
ejpam-6118	2	52	oscillating	oscillate	VERB
ejpam-6118	2	53	heterogeneity	heterogeneity	NOUN
ejpam-6118	2	54	.	.	PUNCT
ejpam-6118	3	1	to	to	PART
ejpam-6118	3	2	construct	construct	VERB
ejpam-6118	3	3	an	an	DET
ejpam-6118	3	4	asymptotic	asymptotic	ADJ
ejpam-6118	3	5	solution	solution	NOUN
ejpam-6118	3	6	to	to	ADP
ejpam-6118	3	7	the	the	DET
ejpam-6118	3	8	problem	problem	NOUN
ejpam-6118	3	9	,	,	PUNCT
ejpam-6118	3	10	the	the	DET
ejpam-6118	3	11	algorithm	algorithm	NOUN
ejpam-6118	3	12	of	of	ADP
ejpam-6118	3	13	the	the	DET
ejpam-6118	3	14	regularization	regularization	NOUN
ejpam-6118	3	15	method	method	NOUN
ejpam-6118	3	16	used	use	VERB
ejpam-6118	3	17	.	.	PUNCT
ejpam-6118	4	1	the	the	DET
ejpam-6118	4	2	case	case	NOUN
ejpam-6118	4	3	of	of	ADP
ejpam-6118	4	4	absence	absence	NOUN
ejpam-6118	4	5	of	of	ADP
ejpam-6118	4	6	resonance	resonance	NOUN
ejpam-6118	4	7	is	be	AUX
ejpam-6118	4	8	considered	consider	VERB
ejpam-6118	4	9	,	,	PUNCT
ejpam-6118	4	10	i.e.	i.e.	X
ejpam-6118	4	11	the	the	DET
ejpam-6118	4	12	case	case	NOUN
ejpam-6118	4	13	when	when	SCONJ
ejpam-6118	4	14	the	the	DET
ejpam-6118	4	15	frequency	frequency	NOUN
ejpam-6118	4	16	of	of	ADP
ejpam-6118	4	17	exponentially	exponentially	ADV
ejpam-6118	4	18	oscillating	oscillate	VERB
ejpam-6118	4	19	heterogeneity	heterogeneity	NOUN
ejpam-6118	4	20	does	do	AUX
ejpam-6118	4	21	not	not	PART
ejpam-6118	4	22	coincide	coincide	VERB
ejpam-6118	4	23	with	with	ADP
ejpam-6118	4	24	the	the	DET
ejpam-6118	4	25	spectrum	spectrum	NOUN
ejpam-6118	4	26	of	of	ADP
ejpam-6118	4	27	the	the	DET
ejpam-6118	4	28	limit	limit	NOUN
ejpam-6118	4	29	operator	operator	NOUN
ejpam-6118	4	30	of	of	ADP
ejpam-6118	4	31	the	the	DET
ejpam-6118	4	32	differential	differential	ADJ
ejpam-6118	4	33	part	part	NOUN
ejpam-6118	4	34	of	of	ADP
ejpam-6118	4	35	the	the	DET
ejpam-6118	4	36	equation	equation	NOUN
ejpam-6118	4	37	in	in	ADP
ejpam-6118	4	38	the	the	DET
ejpam-6118	4	39	considered	consider	VERB
ejpam-6118	4	40	time	time	NOUN
ejpam-6118	4	41	interval	interval	NOUN
ejpam-6118	4	42	.	.	PUNCT
ejpam-6118	5	1	it	it	PRON
ejpam-6118	5	2	is	be	AUX
ejpam-6118	5	3	shown	show	VERB
ejpam-6118	5	4	that	that	SCONJ
ejpam-6118	5	5	both	both	CCONJ
ejpam-6118	5	6	the	the	DET
ejpam-6118	5	7	rapidly	rapidly	ADV
ejpam-6118	5	8	oscillating	oscillate	VERB
ejpam-6118	5	9	heterogeneity	heterogeneity	NOUN
ejpam-6118	5	10	and	and	CCONJ
ejpam-6118	5	11	the	the	DET
ejpam-6118	5	12	kernel	kernel	NOUN
ejpam-6118	5	13	of	of	ADP
ejpam-6118	5	14	the	the	DET
ejpam-6118	5	15	integral	integral	ADJ
ejpam-6118	5	16	operator	operator	NOUN
ejpam-6118	5	17	have	have	VERB
ejpam-6118	5	18	a	a	DET
ejpam-6118	5	19	significant	significant	ADJ
ejpam-6118	5	20	effect	effect	NOUN
ejpam-6118	5	21	on	on	ADP
ejpam-6118	5	22	the	the	DET
ejpam-6118	5	23	leading	lead	VERB
ejpam-6118	5	24	term	term	NOUN
ejpam-6118	5	25	of	of	ADP
ejpam-6118	5	26	the	the	DET
ejpam-6118	5	27	asymptotic	asymptotic	NOUN
ejpam-6118	5	28	of	of	ADP
ejpam-6118	5	29	the	the	DET
ejpam-6118	5	30	solution	solution	NOUN
ejpam-6118	5	31	of	of	ADP
ejpam-6118	5	32	the	the	DET
ejpam-6118	5	33	original	original	ADJ
ejpam-6118	5	34	problem	problem	NOUN
ejpam-6118	5	35	.	.	PUNCT
ejpam-6118	6	1	2020	2020	NUM
ejpam-6118	6	2	mathematics	mathematic	NOUN
ejpam-6118	6	3	subject	subject	NOUN
ejpam-6118	6	4	classifications	classification	NOUN
ejpam-6118	6	5	:	:	PUNCT
ejpam-6118	6	6	34k26	34k26	NUM
ejpam-6118	6	7	,	,	PUNCT
ejpam-6118	6	8	45j05	45j05	ADJ
ejpam-6118	6	9	key	key	ADJ
ejpam-6118	6	10	words	word	NOUN
ejpam-6118	6	11	and	and	CCONJ
ejpam-6118	6	12	phrases	phrase	NOUN
ejpam-6118	6	13	:	:	PUNCT
ejpam-6118	6	14	singularly	singularly	ADJ
ejpam-6118	6	15	perturbation	perturbation	NOUN
ejpam-6118	6	16	,	,	PUNCT
ejpam-6118	6	17	fractional	fractional	ADJ
ejpam-6118	6	18	order	order	NOUN
ejpam-6118	6	19	derivation	derivation	NOUN
ejpam-6118	6	20	integro	integro	ADJ
ejpam-6118	6	21	-	-	PUNCT
ejpam-6118	6	22	differential	differential	NOUN
ejpam-6118	6	23	equation	equation	NOUN
ejpam-6118	6	24	,	,	PUNCT
ejpam-6118	6	25	rapidly	rapidly	ADV
ejpam-6118	6	26	oscillating	oscillate	VERB
ejpam-6118	6	27	in	in	ADP
ejpam-6118	6	28	-	-	PUNCT
ejpam-6118	6	29	homogeneity	homogeneity	NOUN
ejpam-6118	6	30	,	,	PUNCT
ejpam-6118	6	31	solvability	solvability	NOUN
ejpam-6118	6	32	of	of	ADP
ejpam-6118	6	33	iterative	iterative	NOUN
ejpam-6118	6	34	problems	problem	NOUN
ejpam-6118	6	35	,	,	PUNCT
ejpam-6118	6	36	iterative	iterative	NOUN
ejpam-6118	6	37	problem	problem	NOUN
ejpam-6118	6	38	1	1	NUM
ejpam-6118	6	39	.	.	PUNCT
ejpam-6118	6	40	introduction	introduction	NOUN
ejpam-6118	6	41	an	an	DET
ejpam-6118	6	42	initial	initial	ADJ
ejpam-6118	6	43	problem	problem	NOUN
ejpam-6118	6	44	is	be	AUX
ejpam-6118	6	45	considered	consider	VERB
ejpam-6118	6	46	for	for	ADP
ejpam-6118	6	47	a	a	DET
ejpam-6118	6	48	singularly	singularly	ADV
ejpam-6118	6	49	perturbed	perturb	VERB
ejpam-6118	6	50	integro	integro	ADJ
ejpam-6118	6	51	-	-	PUNCT
ejpam-6118	6	52	differential	differential	NOUN
ejpam-6118	6	53	equation	equation	NOUN
ejpam-6118	6	54	:	:	PUNCT
ejpam-6118	6	55	lεz(t	lεz(t	PROPN
ejpam-6118	6	56	,	,	PUNCT
ejpam-6118	6	57	ε	ε	PROPN
ejpam-6118	6	58	)	)	PUNCT
ejpam-6118	6	59	≡	≡	PROPN
ejpam-6118	6	60	εz(α	εz(α	PUNCT
ejpam-6118	6	61	)	)	PUNCT
ejpam-6118	6	62	−a(t)z	−a(t)z	ADP
ejpam-6118	6	63	−	−	PROPN
ejpam-6118	6	64	t∫	t∫	PROPN
ejpam-6118	6	65	t0	t0	PROPN
ejpam-6118	6	66	k(t	k(t	PROPN
ejpam-6118	6	67	,	,	PUNCT
ejpam-6118	6	68	s)z(s	s)z(s	NOUN
ejpam-6118	6	69	,	,	PUNCT
ejpam-6118	6	70	ε)ds	ε)ds	PROPN
ejpam-6118	6	71	=	=	SYM
ejpam-6118	6	72	h1(t	h1(t	X
ejpam-6118	6	73	)	)	PUNCT
ejpam-6118	7	1	+	+	CCONJ
ejpam-6118	7	2	h2(t)e	h2(t)e	NOUN
ejpam-6118	7	3	iβ(t	iβ(t	PRON
ejpam-6118	7	4	)	)	PUNCT
ejpam-6118	7	5	ε	ε	PROPN
ejpam-6118	7	6	,	,	PUNCT
ejpam-6118	7	7	z(t0	z(t0	PROPN
ejpam-6118	7	8	,	,	PUNCT
ejpam-6118	7	9	ε	ε	PROPN
ejpam-6118	7	10	)	)	PUNCT
ejpam-6118	7	11	=	=	SYM
ejpam-6118	7	12	z0	z0	PROPN
ejpam-6118	7	13	,	,	PUNCT
ejpam-6118	7	14	t	t	PROPN
ejpam-6118	7	15	∈	∈	PROPN
ejpam-6118	8	1	[	[	X
ejpam-6118	8	2	t0	t0	PROPN
ejpam-6118	8	3	,	,	PUNCT
ejpam-6118	8	4	t	t	X
ejpam-6118	8	5	]	]	PUNCT
ejpam-6118	8	6	,	,	PUNCT
ejpam-6118	8	7	t0	t0	X
ejpam-6118	8	8	>	>	X
ejpam-6118	8	9	0	0	NUM
ejpam-6118	8	10	,	,	PUNCT
ejpam-6118	8	11	(	(	PUNCT
ejpam-6118	8	12	1.1	1.1	NUM
ejpam-6118	8	13	)	)	PUNCT
ejpam-6118	8	14	∗corresponding	∗corresponde	VERB
ejpam-6118	8	15	author	author	NOUN
ejpam-6118	8	16	.	.	PUNCT
ejpam-6118	9	1	doi	doi	NOUN
ejpam-6118	9	2	:	:	PUNCT
ejpam-6118	9	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6544	https://doi.org/10.29020/nybg.ejpam.v18i3.6544	PROPN
ejpam-6118	9	4	email	email	NOUN
ejpam-6118	9	5	addresses	address	NOUN
ejpam-6118	9	6	:	:	PUNCT
ejpam-6118	9	7	bobojanova@mpei.ru	bobojanova@mpei.ru	PROPN
ejpam-6118	9	8	(	(	PUNCT
ejpam-6118	9	9	a.	a.	NOUN
ejpam-6118	9	10	bobodzhanov	bobodzhanov	PROPN
ejpam-6118	9	11	)	)	PUNCT
ejpam-6118	9	12	,	,	PUNCT
ejpam-6118	9	13	bkalimbetov@mail.ru	bkalimbetov@mail.ru	PROPN
ejpam-6118	9	14	(	(	PUNCT
ejpam-6118	9	15	b.	b.	PROPN
ejpam-6118	9	16	kalimbetov	kalimbetov	PROPN
ejpam-6118	9	17	)	)	PUNCT
ejpam-6118	9	18	,	,	PUNCT
ejpam-6118	9	19	kasm-khan@mail.ru	kasm-khan@mail.ru	PROPN
ejpam-6118	9	20	(	(	PUNCT
ejpam-6118	9	21	k.	k.	PROPN
ejpam-6118	9	22	turekhanov	turekhanov	PROPN
ejpam-6118	9	23	)	)	PUNCT
ejpam-6118	9	24	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6118	10	1	1	1	NUM
ejpam-6118	10	2	copyright	copyright	NOUN
ejpam-6118	10	3	:	:	PUNCT
ejpam-6118	10	4	©	©	PROPN
ejpam-6118	10	5	2025	2025	NUM
ejpam-6118	10	6	the	the	DET
ejpam-6118	10	7	author(s	author(s	NOUN
ejpam-6118	10	8	)	)	PUNCT
ejpam-6118	10	9	.	.	PUNCT
ejpam-6118	11	1	(	(	PUNCT
ejpam-6118	11	2	cc	cc	NOUN
ejpam-6118	11	3	by	by	ADP
ejpam-6118	11	4	-	-	PUNCT
ejpam-6118	11	5	nc	nc	PROPN
ejpam-6118	11	6	4.0	4.0	NUM
ejpam-6118	11	7	)	)	PUNCT
ejpam-6118	11	8	a.	a.	NOUN
ejpam-6118	11	9	bobodzhanov	bobodzhanov	PROPN
ejpam-6118	11	10	,	,	PUNCT
ejpam-6118	11	11	b.	b.	PROPN
ejpam-6118	11	12	kalimbetov	kalimbetov	PROPN
ejpam-6118	11	13	,	,	PUNCT
ejpam-6118	11	14	k.	k.	PROPN
ejpam-6118	11	15	turekhanov	turekhanov	PROPN
ejpam-6118	11	16	/	/	SYM
ejpam-6118	11	17	eur	eur	PROPN
ejpam-6118	11	18	.	.	PUNCT
ejpam-6118	12	1	j.	j.	PROPN
ejpam-6118	12	2	pure	pure	PROPN
ejpam-6118	12	3	appl	appl	PROPN
ejpam-6118	12	4	.	.	PROPN
ejpam-6118	12	5	math	math	PROPN
ejpam-6118	12	6	,	,	PUNCT
ejpam-6118	12	7	18	18	NUM
ejpam-6118	12	8	(	(	PUNCT
ejpam-6118	12	9	3	3	NUM
ejpam-6118	12	10	)	)	PUNCT
ejpam-6118	12	11	(	(	PUNCT
ejpam-6118	12	12	2025	2025	NUM
ejpam-6118	12	13	)	)	PUNCT
ejpam-6118	12	14	,	,	PUNCT
ejpam-6118	12	15	6544	6544	NUM
ejpam-6118	12	16	2	2	NUM
ejpam-6118	12	17	of	of	ADP
ejpam-6118	12	18	14	14	NUM
ejpam-6118	12	19	for	for	ADP
ejpam-6118	12	20	a	a	DET
ejpam-6118	12	21	scalar	scalar	ADJ
ejpam-6118	12	22	unknown	unknown	ADJ
ejpam-6118	12	23	function	function	NOUN
ejpam-6118	12	24	z(t	z(t	PROPN
ejpam-6118	12	25	,	,	PUNCT
ejpam-6118	12	26	ε	ε	PROPN
ejpam-6118	12	27	)	)	PUNCT
ejpam-6118	12	28	,	,	PUNCT
ejpam-6118	12	29	in	in	ADP
ejpam-6118	12	30	which	which	PRON
ejpam-6118	12	31	a(t	a(t	NOUN
ejpam-6118	12	32	)	)	PUNCT
ejpam-6118	12	33	,	,	PUNCT
ejpam-6118	12	34	h1(t	h1(t	PROPN
ejpam-6118	12	35	)	)	PUNCT
ejpam-6118	12	36	,	,	PUNCT
ejpam-6118	12	37	h2(t	h2(t	PROPN
ejpam-6118	12	38	)	)	PUNCT
ejpam-6118	12	39	,	,	PUNCT
ejpam-6118	12	40	β	β	X
ejpam-6118	12	41	′(t	′(t	PROPN
ejpam-6118	12	42	)	)	PUNCT
ejpam-6118	12	43	>	>	X
ejpam-6118	12	44	0	0	NUM
ejpam-6118	12	45	,	,	PUNCT
ejpam-6118	12	46	(	(	PUNCT
ejpam-6118	12	47	∀t	∀t	PROPN
ejpam-6118	12	48	∈	∈	PROPN
ejpam-6118	12	49	[	[	X
ejpam-6118	12	50	t0	t0	PROPN
ejpam-6118	12	51	,	,	PUNCT
ejpam-6118	12	52	t	t	PROPN
ejpam-6118	12	53	]	]	PUNCT
ejpam-6118	12	54	)	)	PUNCT
ejpam-6118	12	55	are	be	AUX
ejpam-6118	12	56	known	know	VERB
ejpam-6118	12	57	functions	function	NOUN
ejpam-6118	12	58	,	,	PUNCT
ejpam-6118	12	59	0	0	NUM
ejpam-6118	12	60	<	<	X
ejpam-6118	12	61	α	α	X
ejpam-6118	12	62	<	<	X
ejpam-6118	12	63	1	1	NUM
ejpam-6118	12	64	,	,	PUNCT
ejpam-6118	12	65	z0	z0	NOUN
ejpam-6118	12	66	constant	constant	ADJ
ejpam-6118	12	67	number	number	NOUN
ejpam-6118	12	68	,	,	PUNCT
ejpam-6118	12	69	ε	ε	PROPN
ejpam-6118	12	70	>	>	X
ejpam-6118	12	71	0	0	PUNCT
ejpam-6118	12	72	is	be	AUX
ejpam-6118	12	73	a	a	DET
ejpam-6118	12	74	small	small	ADJ
ejpam-6118	12	75	parameter	parameter	NOUN
ejpam-6118	12	76	.	.	PUNCT
ejpam-6118	13	1	the	the	DET
ejpam-6118	13	2	problem	problem	NOUN
ejpam-6118	13	3	is	be	AUX
ejpam-6118	13	4	posed	pose	VERB
ejpam-6118	13	5	of	of	ADP
ejpam-6118	13	6	constructing	construct	VERB
ejpam-6118	13	7	a	a	DET
ejpam-6118	13	8	regularized	regularize	VERB
ejpam-6118	13	9	[	[	X
ejpam-6118	13	10	1	1	NUM
ejpam-6118	13	11	,	,	PUNCT
ejpam-6118	13	12	2	2	NUM
ejpam-6118	13	13	]	]	SYM
ejpam-6118	13	14	asymptotic	asymptotic	ADJ
ejpam-6118	13	15	solution	solution	NOUN
ejpam-6118	13	16	to	to	ADP
ejpam-6118	13	17	problem	problem	NOUN
ejpam-6118	13	18	(	(	PUNCT
ejpam-6118	13	19	1.1	1.1	NUM
ejpam-6118	13	20	)	)	PUNCT
ejpam-6118	13	21	.	.	PUNCT
ejpam-6118	14	1	lomov	lomov	PROPN
ejpam-6118	14	2	’s	’s	PART
ejpam-6118	14	3	regularization	regularization	NOUN
ejpam-6118	14	4	method	method	NOUN
ejpam-6118	14	5	[	[	X
ejpam-6118	14	6	1	1	NUM
ejpam-6118	14	7	,	,	PUNCT
ejpam-6118	14	8	2	2	NUM
ejpam-6118	14	9	]	]	PUNCT
ejpam-6118	14	10	was	be	AUX
ejpam-6118	14	11	developed	develop	VERB
ejpam-6118	14	12	to	to	PART
ejpam-6118	14	13	construct	construct	VERB
ejpam-6118	14	14	regularized	regularize	VERB
ejpam-6118	14	15	asymptotic	asymptotic	ADJ
ejpam-6118	14	16	solutions	solution	NOUN
ejpam-6118	14	17	of	of	ADP
ejpam-6118	14	18	ordinary	ordinary	ADJ
ejpam-6118	14	19	differential	differential	ADJ
ejpam-6118	14	20	equations	equation	NOUN
ejpam-6118	14	21	in	in	ADP
ejpam-6118	14	22	the	the	DET
ejpam-6118	14	23	case	case	NOUN
ejpam-6118	14	24	of	of	ADP
ejpam-6118	14	25	stability	stability	NOUN
ejpam-6118	14	26	of	of	ADP
ejpam-6118	14	27	the	the	DET
ejpam-6118	14	28	spectrum	spectrum	NOUN
ejpam-6118	14	29	of	of	ADP
ejpam-6118	14	30	the	the	DET
ejpam-6118	14	31	limit	limit	NOUN
ejpam-6118	14	32	operator	operator	NOUN
ejpam-6118	14	33	.	.	PUNCT
ejpam-6118	15	1	problems	problem	NOUN
ejpam-6118	15	2	devoted	devote	VERB
ejpam-6118	15	3	to	to	ADP
ejpam-6118	15	4	the	the	DET
ejpam-6118	15	5	construction	construction	NOUN
ejpam-6118	15	6	of	of	ADP
ejpam-6118	15	7	regularized	regularize	VERB
ejpam-6118	15	8	asymptotic	asymptotic	ADJ
ejpam-6118	15	9	solutions	solution	NOUN
ejpam-6118	15	10	of	of	ADP
ejpam-6118	15	11	cauchy	cauchy	ADJ
ejpam-6118	15	12	problems	problem	NOUN
ejpam-6118	15	13	in	in	ADP
ejpam-6118	15	14	the	the	DET
ejpam-6118	15	15	presence	presence	NOUN
ejpam-6118	15	16	of	of	ADP
ejpam-6118	15	17	weak	weak	ADJ
ejpam-6118	15	18	turning	turning	NOUN
ejpam-6118	15	19	points	point	NOUN
ejpam-6118	15	20	of	of	ADP
ejpam-6118	15	21	the	the	DET
ejpam-6118	15	22	limit	limit	NOUN
ejpam-6118	15	23	operator	operator	NOUN
ejpam-6118	15	24	are	be	AUX
ejpam-6118	15	25	considered	consider	VERB
ejpam-6118	15	26	in	in	ADP
ejpam-6118	15	27	the	the	DET
ejpam-6118	15	28	works	work	NOUN
ejpam-6118	15	29	of	of	ADP
ejpam-6118	15	30	[	[	X
ejpam-6118	15	31	3–5	3–5	NOUN
ejpam-6118	15	32	]	]	PUNCT
ejpam-6118	15	33	,	,	PUNCT
ejpam-6118	15	34	initialization	initialization	NOUN
ejpam-6118	15	35	in	in	ADP
ejpam-6118	15	36	the	the	DET
ejpam-6118	15	37	work	work	NOUN
ejpam-6118	15	38	of	of	ADP
ejpam-6118	15	39	[	[	X
ejpam-6118	15	40	6	6	NUM
ejpam-6118	15	41	]	]	PUNCT
ejpam-6118	15	42	.	.	PUNCT
ejpam-6118	16	1	the	the	DET
ejpam-6118	16	2	works	work	NOUN
ejpam-6118	16	3	of	of	ADP
ejpam-6118	16	4	[	[	X
ejpam-6118	16	5	7	7	NUM
ejpam-6118	16	6	]	]	PUNCT
ejpam-6118	16	7	considered	consider	VERB
ejpam-6118	16	8	the	the	DET
ejpam-6118	16	9	problems	problem	NOUN
ejpam-6118	16	10	of	of	ADP
ejpam-6118	16	11	constructing	construct	VERB
ejpam-6118	16	12	a	a	DET
ejpam-6118	16	13	regularized	regularize	VERB
ejpam-6118	16	14	asymptotic	asymptotic	ADJ
ejpam-6118	16	15	solution	solution	NOUN
ejpam-6118	16	16	to	to	ADP
ejpam-6118	16	17	a	a	DET
ejpam-6118	16	18	nonlinear	nonlinear	ADJ
ejpam-6118	16	19	differential	differential	ADJ
ejpam-6118	16	20	equation	equation	NOUN
ejpam-6118	16	21	in	in	ADP
ejpam-6118	16	22	a	a	DET
ejpam-6118	16	23	banach	banach	NOUN
ejpam-6118	16	24	space	space	NOUN
ejpam-6118	16	25	and	and	CCONJ
ejpam-6118	16	26	the	the	DET
ejpam-6118	16	27	analytical	analytical	ADJ
ejpam-6118	16	28	aspects	aspect	NOUN
ejpam-6118	16	29	of	of	ADP
ejpam-6118	16	30	the	the	DET
ejpam-6118	16	31	theory	theory	NOUN
ejpam-6118	16	32	of	of	ADP
ejpam-6118	16	33	tikhonov	tikhonov	NOUN
ejpam-6118	16	34	systems	system	NOUN
ejpam-6118	16	35	[	[	X
ejpam-6118	16	36	8	8	NUM
ejpam-6118	16	37	]	]	PUNCT
ejpam-6118	16	38	.	.	PUNCT
ejpam-6118	17	1	singularly	singularly	ADV
ejpam-6118	17	2	perturbed	perturb	VERB
ejpam-6118	17	3	ordinary	ordinary	ADJ
ejpam-6118	17	4	differential	differential	ADJ
ejpam-6118	17	5	equations	equation	NOUN
ejpam-6118	17	6	with	with	ADP
ejpam-6118	17	7	rapidly	rapidly	ADV
ejpam-6118	17	8	oscillating	oscillate	VERB
ejpam-6118	17	9	coefficients	coefficient	NOUN
ejpam-6118	17	10	from	from	ADP
ejpam-6118	17	11	the	the	DET
ejpam-6118	17	12	perspective	perspective	NOUN
ejpam-6118	17	13	of	of	ADP
ejpam-6118	17	14	the	the	DET
ejpam-6118	17	15	regularization	regularization	NOUN
ejpam-6118	17	16	method	method	NOUN
ejpam-6118	17	17	were	be	AUX
ejpam-6118	17	18	carried	carry	VERB
ejpam-6118	17	19	out	out	ADP
ejpam-6118	17	20	in	in	ADP
ejpam-6118	17	21	the	the	DET
ejpam-6118	17	22	work	work	NOUN
ejpam-6118	17	23	of	of	ADP
ejpam-6118	17	24	[	[	X
ejpam-6118	17	25	9	9	NUM
ejpam-6118	17	26	]	]	PUNCT
ejpam-6118	17	27	.	.	PUNCT
ejpam-6118	18	1	the	the	DET
ejpam-6118	18	2	justification	justification	NOUN
ejpam-6118	18	3	of	of	ADP
ejpam-6118	18	4	the	the	DET
ejpam-6118	18	5	regularization	regularization	NOUN
ejpam-6118	18	6	method	method	NOUN
ejpam-6118	18	7	for	for	ADP
ejpam-6118	18	8	linear	linear	ADJ
ejpam-6118	18	9	and	and	CCONJ
ejpam-6118	18	10	nonlinear	nonlinear	ADJ
ejpam-6118	18	11	integro	integro	ADJ
ejpam-6118	18	12	-	-	PUNCT
ejpam-6118	18	13	differential	differential	NOUN
ejpam-6118	18	14	equations	equation	NOUN
ejpam-6118	18	15	with	with	ADP
ejpam-6118	18	16	a	a	DET
ejpam-6118	18	17	zero	zero	NUM
ejpam-6118	18	18	operator	operator	NOUN
ejpam-6118	18	19	of	of	ADP
ejpam-6118	18	20	the	the	DET
ejpam-6118	18	21	differential	differential	ADJ
ejpam-6118	18	22	part	part	NOUN
ejpam-6118	18	23	was	be	AUX
ejpam-6118	18	24	studied	study	VERB
ejpam-6118	18	25	in	in	ADP
ejpam-6118	18	26	the	the	DET
ejpam-6118	18	27	works	work	NOUN
ejpam-6118	18	28	of	of	ADP
ejpam-6118	18	29	[	[	X
ejpam-6118	18	30	10	10	NUM
ejpam-6118	18	31	,	,	PUNCT
ejpam-6118	18	32	11	11	NUM
ejpam-6118	18	33	]	]	PUNCT
ejpam-6118	18	34	.	.	PUNCT
ejpam-6118	19	1	singularly	singularly	ADV
ejpam-6118	19	2	perturbed	perturb	VERB
ejpam-6118	19	3	integro	integro	ADJ
ejpam-6118	19	4	-	-	PUNCT
ejpam-6118	19	5	differential	differential	NOUN
ejpam-6118	19	6	equations	equation	NOUN
ejpam-6118	19	7	with	with	ADP
ejpam-6118	19	8	rapidly	rapidly	ADV
ejpam-6118	19	9	oscillating	oscillate	VERB
ejpam-6118	19	10	coefficients	coefficient	NOUN
ejpam-6118	19	11	and	and	CCONJ
ejpam-6118	19	12	rapidly	rapidly	ADV
ejpam-6118	19	13	changing	change	VERB
ejpam-6118	19	14	kernels	kernel	NOUN
ejpam-6118	19	15	in	in	ADP
ejpam-6118	19	16	the	the	DET
ejpam-6118	19	17	case	case	NOUN
ejpam-6118	19	18	of	of	ADP
ejpam-6118	19	19	a	a	DET
ejpam-6118	19	20	multiple	multiple	ADJ
ejpam-6118	19	21	spectrum	spectrum	NOUN
ejpam-6118	19	22	were	be	AUX
ejpam-6118	19	23	considered	consider	VERB
ejpam-6118	19	24	in	in	ADP
ejpam-6118	19	25	the	the	DET
ejpam-6118	19	26	studies	study	NOUN
ejpam-6118	19	27	of	of	ADP
ejpam-6118	19	28	[	[	X
ejpam-6118	19	29	12–14	12–14	NUM
ejpam-6118	19	30	]	]	PUNCT
ejpam-6118	19	31	,	,	PUNCT
ejpam-6118	19	32	with	with	ADP
ejpam-6118	19	33	rapidly	rapidly	ADV
ejpam-6118	19	34	oscillating	oscillate	VERB
ejpam-6118	19	35	coefficients	coefficient	NOUN
ejpam-6118	19	36	and	and	CCONJ
ejpam-6118	19	37	with	with	ADP
ejpam-6118	19	38	rapidly	rapidly	ADV
ejpam-6118	19	39	oscillating	oscillate	VERB
ejpam-6118	19	40	inhomogeneities	inhomogeneity	NOUN
ejpam-6118	19	41	in	in	ADP
ejpam-6118	19	42	the	the	DET
ejpam-6118	19	43	works	work	NOUN
ejpam-6118	19	44	of	of	ADP
ejpam-6118	19	45	[	[	X
ejpam-6118	19	46	15–21	15–21	NUM
ejpam-6118	19	47	]	]	X
ejpam-6118	19	48	.	.	PUNCT
ejpam-6118	20	1	the	the	DET
ejpam-6118	20	2	fredholm	fredholm	ADJ
ejpam-6118	20	3	integro	integro	ADJ
ejpam-6118	20	4	-	-	PUNCT
ejpam-6118	20	5	differential	differential	NOUN
ejpam-6118	20	6	equation	equation	NOUN
ejpam-6118	20	7	with	with	ADP
ejpam-6118	20	8	a	a	DET
ejpam-6118	20	9	rapidly	rapidly	ADV
ejpam-6118	20	10	decreasing	decrease	VERB
ejpam-6118	20	11	kernel	kernel	NOUN
ejpam-6118	20	12	and	and	CCONJ
ejpam-6118	20	13	an	an	DET
ejpam-6118	20	14	exponentially	exponentially	ADV
ejpam-6118	20	15	oscillating	oscillate	VERB
ejpam-6118	20	16	in	in	ADP
ejpam-6118	20	17	-	-	PUNCT
ejpam-6118	20	18	homogeneity	homogeneity	NOUN
ejpam-6118	20	19	was	be	AUX
ejpam-6118	20	20	studied	study	VERB
ejpam-6118	20	21	in	in	ADP
ejpam-6118	20	22	the	the	DET
ejpam-6118	20	23	work	work	NOUN
ejpam-6118	20	24	of	of	ADP
ejpam-6118	20	25	[	[	X
ejpam-6118	20	26	22	22	NUM
ejpam-6118	20	27	]	]	PUNCT
ejpam-6118	20	28	.	.	PUNCT
ejpam-6118	21	1	the	the	DET
ejpam-6118	21	2	integro	integro	ADJ
ejpam-6118	21	3	-	-	PUNCT
ejpam-6118	21	4	differential	differential	NOUN
ejpam-6118	21	5	cauchy	cauchy	NOUN
ejpam-6118	21	6	problem	problem	NOUN
ejpam-6118	21	7	with	with	ADP
ejpam-6118	21	8	exponential	exponential	ADJ
ejpam-6118	21	9	in	in	ADP
ejpam-6118	21	10	-	-	PUNCT
ejpam-6118	21	11	homogeneity	homogeneity	NOUN
ejpam-6118	21	12	and	and	CCONJ
ejpam-6118	21	13	with	with	ADP
ejpam-6118	21	14	a	a	DET
ejpam-6118	21	15	spectral	spectral	ADJ
ejpam-6118	21	16	value	value	NOUN
ejpam-6118	21	17	that	that	PRON
ejpam-6118	21	18	vanishes	vanish	VERB
ejpam-6118	21	19	at	at	ADP
ejpam-6118	21	20	an	an	DET
ejpam-6118	21	21	isolated	isolated	ADJ
ejpam-6118	21	22	point	point	NOUN
ejpam-6118	21	23	on	on	ADP
ejpam-6118	21	24	a	a	DET
ejpam-6118	21	25	segment	segment	NOUN
ejpam-6118	21	26	of	of	ADP
ejpam-6118	21	27	an	an	DET
ejpam-6118	21	28	independent	independent	ADJ
ejpam-6118	21	29	variable	variable	NOUN
ejpam-6118	21	30	is	be	AUX
ejpam-6118	21	31	considered	consider	VERB
ejpam-6118	21	32	in	in	ADP
ejpam-6118	21	33	the	the	DET
ejpam-6118	21	34	work	work	NOUN
ejpam-6118	21	35	of	of	ADP
ejpam-6118	21	36	[	[	X
ejpam-6118	21	37	23	23	NUM
ejpam-6118	21	38	]	]	PUNCT
ejpam-6118	21	39	.	.	PUNCT
ejpam-6118	22	1	the	the	DET
ejpam-6118	22	2	problem	problem	NOUN
ejpam-6118	22	3	belongs	belong	VERB
ejpam-6118	22	4	to	to	ADP
ejpam-6118	22	5	the	the	DET
ejpam-6118	22	6	class	class	NOUN
ejpam-6118	22	7	of	of	ADP
ejpam-6118	22	8	singularly	singularly	ADV
ejpam-6118	22	9	perturbed	perturb	VERB
ejpam-6118	22	10	equations	equation	NOUN
ejpam-6118	22	11	with	with	ADP
ejpam-6118	22	12	an	an	DET
ejpam-6118	22	13	unstable	unstable	ADJ
ejpam-6118	22	14	spectrum	spectrum	NOUN
ejpam-6118	22	15	and	and	CCONJ
ejpam-6118	22	16	has	have	AUX
ejpam-6118	22	17	not	not	PART
ejpam-6118	22	18	been	be	AUX
ejpam-6118	22	19	considered	consider	VERB
ejpam-6118	22	20	previously	previously	ADV
ejpam-6118	22	21	in	in	ADP
ejpam-6118	22	22	the	the	DET
ejpam-6118	22	23	presence	presence	NOUN
ejpam-6118	22	24	of	of	ADP
ejpam-6118	22	25	an	an	DET
ejpam-6118	22	26	integral	integral	ADJ
ejpam-6118	22	27	operator	operator	NOUN
ejpam-6118	22	28	.	.	PUNCT
ejpam-6118	23	1	it	it	PRON
ejpam-6118	23	2	is	be	AUX
ejpam-6118	23	3	especially	especially	ADV
ejpam-6118	23	4	difficult	difficult	ADJ
ejpam-6118	23	5	to	to	PART
ejpam-6118	23	6	study	study	VERB
ejpam-6118	23	7	it	it	PRON
ejpam-6118	23	8	in	in	ADP
ejpam-6118	23	9	the	the	DET
ejpam-6118	23	10	vicinity	vicinity	NOUN
ejpam-6118	23	11	of	of	ADP
ejpam-6118	23	12	zero	zero	NUM
ejpam-6118	23	13	spectral	spectral	ADJ
ejpam-6118	23	14	value	value	NOUN
ejpam-6118	23	15	of	of	ADP
ejpam-6118	23	16	the	the	DET
ejpam-6118	23	17	in	in	ADP
ejpam-6118	23	18	-	-	PUNCT
ejpam-6118	23	19	homogeneity	homogeneity	NOUN
ejpam-6118	23	20	.	.	PUNCT
ejpam-6118	24	1	in	in	ADP
ejpam-6118	24	2	this	this	DET
ejpam-6118	24	3	case	case	NOUN
ejpam-6118	24	4	,	,	PUNCT
ejpam-6118	24	5	it	it	PRON
ejpam-6118	24	6	is	be	AUX
ejpam-6118	24	7	not	not	PART
ejpam-6118	24	8	possible	possible	ADJ
ejpam-6118	24	9	to	to	PART
ejpam-6118	24	10	apply	apply	VERB
ejpam-6118	24	11	the	the	DET
ejpam-6118	24	12	wellknown	wellknown	ADJ
ejpam-6118	24	13	procedure	procedure	NOUN
ejpam-6118	24	14	of	of	ADP
ejpam-6118	24	15	the	the	DET
ejpam-6118	24	16	lomov	lomov	NOUN
ejpam-6118	24	17	’s	’s	PART
ejpam-6118	24	18	regularization	regularization	NOUN
ejpam-6118	24	19	method	method	NOUN
ejpam-6118	24	20	,	,	PUNCT
ejpam-6118	24	21	so	so	SCONJ
ejpam-6118	24	22	the	the	DET
ejpam-6118	24	23	researchers	researcher	NOUN
ejpam-6118	24	24	chose	choose	VERB
ejpam-6118	24	25	a	a	DET
ejpam-6118	24	26	method	method	NOUN
ejpam-6118	24	27	for	for	ADP
ejpam-6118	24	28	constructing	construct	VERB
ejpam-6118	24	29	the	the	DET
ejpam-6118	24	30	asymptotic	asymptotic	NOUN
ejpam-6118	24	31	of	of	ADP
ejpam-6118	24	32	the	the	DET
ejpam-6118	24	33	solution	solution	NOUN
ejpam-6118	24	34	to	to	ADP
ejpam-6118	24	35	the	the	DET
ejpam-6118	24	36	original	original	ADJ
ejpam-6118	24	37	problem	problem	NOUN
ejpam-6118	24	38	,	,	PUNCT
ejpam-6118	24	39	based	base	VERB
ejpam-6118	24	40	on	on	ADP
ejpam-6118	24	41	the	the	DET
ejpam-6118	24	42	use	use	NOUN
ejpam-6118	24	43	of	of	ADP
ejpam-6118	24	44	the	the	DET
ejpam-6118	24	45	regularized	regularize	VERB
ejpam-6118	24	46	asymptotic	asymptotic	NOUN
ejpam-6118	24	47	of	of	ADP
ejpam-6118	24	48	the	the	DET
ejpam-6118	24	49	fundamental	fundamental	ADJ
ejpam-6118	24	50	solution	solution	NOUN
ejpam-6118	24	51	of	of	ADP
ejpam-6118	24	52	the	the	DET
ejpam-6118	24	53	corresponding	corresponding	ADJ
ejpam-6118	24	54	homogeneous	homogeneous	ADJ
ejpam-6118	24	55	equation	equation	NOUN
ejpam-6118	24	56	,	,	PUNCT
ejpam-6118	24	57	the	the	DET
ejpam-6118	24	58	construction	construction	NOUN
ejpam-6118	24	59	of	of	ADP
ejpam-6118	24	60	which	which	PRON
ejpam-6118	24	61	from	from	ADP
ejpam-6118	24	62	the	the	DET
ejpam-6118	24	63	standpoint	standpoint	NOUN
ejpam-6118	24	64	of	of	ADP
ejpam-6118	24	65	the	the	DET
ejpam-6118	24	66	regularization	regularization	NOUN
ejpam-6118	24	67	method	method	NOUN
ejpam-6118	24	68	has	have	AUX
ejpam-6118	24	69	not	not	PART
ejpam-6118	24	70	been	be	AUX
ejpam-6118	24	71	considered	consider	VERB
ejpam-6118	24	72	until	until	ADP
ejpam-6118	24	73	now	now	ADV
ejpam-6118	24	74	.	.	PUNCT
ejpam-6118	25	1	it	it	PRON
ejpam-6118	25	2	should	should	AUX
ejpam-6118	25	3	be	be	AUX
ejpam-6118	25	4	noted	note	VERB
ejpam-6118	25	5	that	that	SCONJ
ejpam-6118	25	6	singularly	singularly	ADV
ejpam-6118	25	7	perturbed	perturb	VERB
ejpam-6118	25	8	differential	differential	ADJ
ejpam-6118	25	9	and	and	CCONJ
ejpam-6118	25	10	integro	integro	ADJ
ejpam-6118	25	11	-	-	PUNCT
ejpam-6118	25	12	differential	differential	NOUN
ejpam-6118	25	13	equations	equation	NOUN
ejpam-6118	25	14	with	with	ADP
ejpam-6118	25	15	fractional	fractional	ADJ
ejpam-6118	25	16	derivatives	derivative	NOUN
ejpam-6118	25	17	in	in	ADP
ejpam-6118	25	18	the	the	DET
ejpam-6118	25	19	absence	absence	NOUN
ejpam-6118	25	20	and	and	CCONJ
ejpam-6118	25	21	presence	presence	NOUN
ejpam-6118	25	22	of	of	ADP
ejpam-6118	25	23	rapidly	rapidly	ADV
ejpam-6118	25	24	oscillating	oscillate	VERB
ejpam-6118	25	25	components	component	NOUN
ejpam-6118	25	26	were	be	AUX
ejpam-6118	25	27	considered	consider	VERB
ejpam-6118	25	28	in	in	ADP
ejpam-6118	25	29	works	work	NOUN
ejpam-6118	25	30	[	[	X
ejpam-6118	25	31	24–28	24–28	NUM
ejpam-6118	25	32	]	]	PUNCT
ejpam-6118	25	33	.	.	PUNCT
ejpam-6118	26	1	in	in	ADP
ejpam-6118	26	2	these	these	DET
ejpam-6118	26	3	works	work	NOUN
ejpam-6118	26	4	,	,	PUNCT
ejpam-6118	26	5	the	the	DET
ejpam-6118	26	6	ideas	idea	NOUN
ejpam-6118	26	7	of	of	ADP
ejpam-6118	26	8	the	the	DET
ejpam-6118	26	9	regularization	regularization	NOUN
ejpam-6118	26	10	method	method	NOUN
ejpam-6118	26	11	were	be	AUX
ejpam-6118	26	12	generalized	generalize	VERB
ejpam-6118	26	13	for	for	ADP
ejpam-6118	26	14	equations	equation	NOUN
ejpam-6118	26	15	with	with	ADP
ejpam-6118	26	16	fractional	fractional	ADJ
ejpam-6118	26	17	derivatives	derivative	NOUN
ejpam-6118	26	18	,	,	PUNCT
ejpam-6118	26	19	regularized	regularize	VERB
ejpam-6118	26	20	asymptotic	asymptotic	ADJ
ejpam-6118	26	21	solutions	solution	NOUN
ejpam-6118	26	22	of	of	ADP
ejpam-6118	26	23	problems	problem	NOUN
ejpam-6118	26	24	were	be	AUX
ejpam-6118	26	25	constructed	construct	VERB
ejpam-6118	26	26	,	,	PUNCT
ejpam-6118	26	27	and	and	CCONJ
ejpam-6118	26	28	the	the	DET
ejpam-6118	26	29	influence	influence	NOUN
ejpam-6118	26	30	of	of	ADP
ejpam-6118	26	31	rapidly	rapidly	ADV
ejpam-6118	26	32	oscillating	oscillate	VERB
ejpam-6118	26	33	coefficients	coefficient	NOUN
ejpam-6118	26	34	on	on	ADP
ejpam-6118	26	35	the	the	DET
ejpam-6118	26	36	leading	lead	VERB
ejpam-6118	26	37	term	term	NOUN
ejpam-6118	26	38	of	of	ADP
ejpam-6118	26	39	the	the	DET
ejpam-6118	26	40	asymptotic	asymptotic	ADJ
ejpam-6118	26	41	was	be	AUX
ejpam-6118	26	42	studied	study	VERB
ejpam-6118	26	43	.	.	PUNCT
ejpam-6118	27	1	it	it	PRON
ejpam-6118	27	2	should	should	AUX
ejpam-6118	27	3	be	be	AUX
ejpam-6118	27	4	noted	note	VERB
ejpam-6118	27	5	that	that	SCONJ
ejpam-6118	27	6	problems	problem	NOUN
ejpam-6118	27	7	associated	associate	VERB
ejpam-6118	27	8	with	with	ADP
ejpam-6118	27	9	fractional	fractional	ADJ
ejpam-6118	27	10	differential	differential	ADJ
ejpam-6118	27	11	equations	equation	NOUN
ejpam-6118	27	12	and	and	CCONJ
ejpam-6118	27	13	generalized	generalized	ADJ
ejpam-6118	27	14	hilfer	hilfer	NOUN
ejpam-6118	27	15	fractional	fractional	ADJ
ejpam-6118	27	16	derivatives	derivative	NOUN
ejpam-6118	27	17	,	,	PUNCT
ejpam-6118	27	18	which	which	PRON
ejpam-6118	27	19	combine	combine	VERB
ejpam-6118	27	20	the	the	DET
ejpam-6118	27	21	riemann	riemann	PROPN
ejpam-6118	27	22	-	-	PUNCT
ejpam-6118	27	23	liouville	liouville	PROPN
ejpam-6118	27	24	and	and	CCONJ
ejpam-6118	27	25	caputo	caputo	PROPN
ejpam-6118	27	26	fractional	fractional	PROPN
ejpam-6118	27	27	derivatives	derivative	NOUN
ejpam-6118	27	28	,	,	PUNCT
ejpam-6118	27	29	are	be	AUX
ejpam-6118	27	30	considered	consider	VERB
ejpam-6118	27	31	in	in	ADP
ejpam-6118	27	32	[	[	X
ejpam-6118	27	33	29–33	29–33	NUM
ejpam-6118	27	34	]	]	PUNCT
ejpam-6118	27	35	.	.	PUNCT
ejpam-6118	28	1	thus	thus	ADV
ejpam-6118	28	2	,	,	PUNCT
ejpam-6118	28	3	in	in	ADP
ejpam-6118	28	4	this	this	DET
ejpam-6118	28	5	work	work	NOUN
ejpam-6118	28	6	,	,	PUNCT
ejpam-6118	28	7	s.a.lomov	s.a.lomov	PROPN
ejpam-6118	28	8	’s	’s	PART
ejpam-6118	28	9	regularization	regularization	NOUN
ejpam-6118	28	10	method	method	NOUN
ejpam-6118	28	11	[	[	X
ejpam-6118	28	12	1	1	NUM
ejpam-6118	28	13	]	]	PUNCT
ejpam-6118	28	14	is	be	AUX
ejpam-6118	28	15	generalized	generalize	VERB
ejpam-6118	28	16	to	to	ADP
ejpam-6118	28	17	a	a	DET
ejpam-6118	28	18	singularly	singularly	ADV
ejpam-6118	28	19	perturbed	perturb	VERB
ejpam-6118	28	20	integro	integro	ADJ
ejpam-6118	28	21	-	-	PUNCT
ejpam-6118	28	22	differential	differential	NOUN
ejpam-6118	28	23	equation	equation	NOUN
ejpam-6118	28	24	with	with	ADP
ejpam-6118	28	25	fractional	fractional	ADJ
ejpam-6118	28	26	derivatives	derivative	NOUN
ejpam-6118	28	27	with	with	ADP
ejpam-6118	28	28	an	an	DET
ejpam-6118	28	29	exponentially	exponentially	ADV
ejpam-6118	28	30	oscillating	oscillate	VERB
ejpam-6118	28	31	right	right	ADJ
ejpam-6118	28	32	-	-	PUNCT
ejpam-6118	28	33	hand	hand	NOUN
ejpam-6118	28	34	side	side	NOUN
ejpam-6118	28	35	.	.	PUNCT
ejpam-6118	29	1	the	the	DET
ejpam-6118	29	2	main	main	ADJ
ejpam-6118	29	3	goal	goal	NOUN
ejpam-6118	29	4	of	of	ADP
ejpam-6118	29	5	the	the	DET
ejpam-6118	29	6	study	study	NOUN
ejpam-6118	29	7	is	be	AUX
ejpam-6118	29	8	to	to	PART
ejpam-6118	29	9	identify	identify	VERB
ejpam-6118	29	10	the	the	DET
ejpam-6118	29	11	influence	influence	NOUN
ejpam-6118	29	12	of	of	ADP
ejpam-6118	29	13	a.	a.	NOUN
ejpam-6118	29	14	bobodzhanov	bobodzhanov	PROPN
ejpam-6118	29	15	,	,	PUNCT
ejpam-6118	29	16	b.	b.	PROPN
ejpam-6118	29	17	kalimbetov	kalimbetov	PROPN
ejpam-6118	29	18	,	,	PUNCT
ejpam-6118	29	19	k.	k.	PROPN
ejpam-6118	29	20	turekhanov	turekhanov	PROPN
ejpam-6118	29	21	/	/	SYM
ejpam-6118	29	22	eur	eur	PROPN
ejpam-6118	29	23	.	.	PUNCT
ejpam-6118	30	1	j.	j.	PROPN
ejpam-6118	30	2	pure	pure	PROPN
ejpam-6118	30	3	appl	appl	PROPN
ejpam-6118	30	4	.	.	PROPN
ejpam-6118	30	5	math	math	PROPN
ejpam-6118	30	6	,	,	PUNCT
ejpam-6118	30	7	18	18	NUM
ejpam-6118	30	8	(	(	PUNCT
ejpam-6118	30	9	3	3	NUM
ejpam-6118	30	10	)	)	PUNCT
ejpam-6118	30	11	(	(	PUNCT
ejpam-6118	30	12	2025	2025	NUM
ejpam-6118	30	13	)	)	PUNCT
ejpam-6118	30	14	,	,	PUNCT
ejpam-6118	30	15	6544	6544	NUM
ejpam-6118	30	16	3	3	NUM
ejpam-6118	30	17	of	of	ADP
ejpam-6118	30	18	14	14	NUM
ejpam-6118	30	19	oscillating	oscillate	VERB
ejpam-6118	30	20	components	component	NOUN
ejpam-6118	30	21	on	on	ADP
ejpam-6118	30	22	the	the	DET
ejpam-6118	30	23	structure	structure	NOUN
ejpam-6118	30	24	of	of	ADP
ejpam-6118	30	25	the	the	DET
ejpam-6118	30	26	asymptotic	asymptotic	NOUN
ejpam-6118	30	27	of	of	ADP
ejpam-6118	30	28	the	the	DET
ejpam-6118	30	29	solution	solution	NOUN
ejpam-6118	30	30	to	to	ADP
ejpam-6118	30	31	the	the	DET
ejpam-6118	30	32	original	original	ADJ
ejpam-6118	30	33	problem	problem	NOUN
ejpam-6118	30	34	(	(	PUNCT
ejpam-6118	30	35	1.1	1.1	NUM
ejpam-6118	30	36	)	)	PUNCT
ejpam-6118	30	37	.	.	PUNCT
ejpam-6118	31	1	by	by	ADP
ejpam-6118	31	2	definition	definition	NOUN
ejpam-6118	31	3	of	of	ADP
ejpam-6118	31	4	the	the	DET
ejpam-6118	31	5	fractional	fractional	ADJ
ejpam-6118	31	6	derivative	derivative	NOUN
ejpam-6118	31	7	[	[	X
ejpam-6118	31	8	34	34	NUM
ejpam-6118	31	9	]	]	PUNCT
ejpam-6118	31	10	,	,	PUNCT
ejpam-6118	31	11	the	the	DET
ejpam-6118	31	12	fractional	fractional	ADJ
ejpam-6118	31	13	derivative	derivative	ADJ
ejpam-6118	31	14	z(α	z(α	PROPN
ejpam-6118	31	15	)	)	PUNCT
ejpam-6118	31	16	in	in	ADP
ejpam-6118	31	17	terms	term	NOUN
ejpam-6118	31	18	of	of	ADP
ejpam-6118	31	19	integer	integer	NOUN
ejpam-6118	31	20	derivatives	derivative	NOUN
ejpam-6118	31	21	is	be	AUX
ejpam-6118	31	22	denoted	denote	VERB
ejpam-6118	31	23	in	in	ADP
ejpam-6118	31	24	the	the	DET
ejpam-6118	31	25	following	follow	VERB
ejpam-6118	31	26	form	form	NOUN
ejpam-6118	31	27	t(1−α	t(1−α	NOUN
ejpam-6118	31	28	)	)	PUNCT
ejpam-6118	32	1	dzdt	dzdt	PROPN
ejpam-6118	32	2	.	.	PUNCT
ejpam-6118	33	1	accordingly	accordingly	ADV
ejpam-6118	33	2	,	,	PUNCT
ejpam-6118	33	3	we	we	PRON
ejpam-6118	33	4	rewrite	rewrite	VERB
ejpam-6118	33	5	the	the	DET
ejpam-6118	33	6	original	original	ADJ
ejpam-6118	33	7	fractional	fractional	ADJ
ejpam-6118	33	8	order	order	NOUN
ejpam-6118	33	9	equation	equation	NOUN
ejpam-6118	33	10	(	(	PUNCT
ejpam-6118	33	11	1.1	1.1	NUM
ejpam-6118	33	12	)	)	PUNCT
ejpam-6118	33	13	in	in	ADP
ejpam-6118	33	14	the	the	DET
ejpam-6118	33	15	following	follow	VERB
ejpam-6118	33	16	form	form	NOUN
ejpam-6118	33	17	:	:	PUNCT
ejpam-6118	33	18	lεz(t	lεz(t	PROPN
ejpam-6118	33	19	,	,	PUNCT
ejpam-6118	33	20	ε	ε	PROPN
ejpam-6118	33	21	)	)	PUNCT
ejpam-6118	33	22	≡	≡	PROPN
ejpam-6118	33	23	εt(1−α	εt(1−α	PROPN
ejpam-6118	33	24	)	)	PUNCT
ejpam-6118	33	25	dzdt	dzdt	VERB
ejpam-6118	33	26	−a(t)z	−a(t)z	ADP
ejpam-6118	33	27	−	−	PROPN
ejpam-6118	33	28	t∫	t∫	PROPN
ejpam-6118	33	29	t0	t0	PROPN
ejpam-6118	33	30	k(t	k(t	PROPN
ejpam-6118	33	31	,	,	PUNCT
ejpam-6118	33	32	s)z(s	s)z(s	NOUN
ejpam-6118	33	33	,	,	PUNCT
ejpam-6118	33	34	ε)ds	ε)ds	PROPN
ejpam-6118	33	35	=	=	SYM
ejpam-6118	33	36	h1(t	h1(t	X
ejpam-6118	33	37	)	)	PUNCT
ejpam-6118	34	1	+	+	CCONJ
ejpam-6118	34	2	h2(t)e	h2(t)e	NOUN
ejpam-6118	34	3	iβ(t	iβ(t	PRON
ejpam-6118	34	4	)	)	PUNCT
ejpam-6118	34	5	ε	ε	PROPN
ejpam-6118	34	6	,	,	PUNCT
ejpam-6118	34	7	z(t0	z(t0	PROPN
ejpam-6118	34	8	,	,	PUNCT
ejpam-6118	34	9	ε	ε	PROPN
ejpam-6118	34	10	)	)	PUNCT
ejpam-6118	34	11	=	=	SYM
ejpam-6118	34	12	y0	y0	NOUN
ejpam-6118	34	13	,	,	PUNCT
ejpam-6118	34	14	t	t	PROPN
ejpam-6118	34	15	∈	∈	PROPN
ejpam-6118	35	1	[	[	X
ejpam-6118	35	2	t0	t0	PROPN
ejpam-6118	35	3	,	,	PUNCT
ejpam-6118	35	4	t	t	X
ejpam-6118	35	5	]	]	PUNCT
ejpam-6118	35	6	,	,	PUNCT
ejpam-6118	35	7	t0	t0	X
ejpam-6118	35	8	>	>	X
ejpam-6118	35	9	0	0	NUM
ejpam-6118	35	10	.	.	PUNCT
ejpam-6118	36	1	(	(	PUNCT
ejpam-6118	36	2	1.2	1.2	NUM
ejpam-6118	36	3	)	)	PUNCT
ejpam-6118	36	4	in	in	ADP
ejpam-6118	36	5	problem	problem	NOUN
ejpam-6118	36	6	(	(	PUNCT
ejpam-6118	36	7	1.2	1.2	NUM
ejpam-6118	36	8	)	)	PUNCT
ejpam-6118	36	9	,	,	PUNCT
ejpam-6118	36	10	the	the	DET
ejpam-6118	36	11	frequency	frequency	NOUN
ejpam-6118	36	12	of	of	ADP
ejpam-6118	36	13	the	the	DET
ejpam-6118	36	14	rapidly	rapidly	ADV
ejpam-6118	36	15	oscillating	oscillate	VERB
ejpam-6118	36	16	in	in	ADP
ejpam-6118	36	17	-	-	PUNCT
ejpam-6118	36	18	homogeneity	homogeneity	NOUN
ejpam-6118	36	19	is	be	AUX
ejpam-6118	36	20	β′(t	β′(t	NOUN
ejpam-6118	36	21	)	)	PUNCT
ejpam-6118	36	22	.	.	PUNCT
ejpam-6118	37	1	in	in	ADP
ejpam-6118	37	2	what	what	PRON
ejpam-6118	37	3	follows	follow	VERB
ejpam-6118	37	4	,	,	PUNCT
ejpam-6118	37	5	the	the	DET
ejpam-6118	37	6	function	function	NOUN
ejpam-6118	37	7	λ1(t	λ1(t	PROPN
ejpam-6118	37	8	)	)	PUNCT
ejpam-6118	37	9	=	=	SYM
ejpam-6118	37	10	a(t	a(t	NOUN
ejpam-6118	37	11	)	)	PUNCT
ejpam-6118	37	12	is	be	AUX
ejpam-6118	37	13	called	call	VERB
ejpam-6118	37	14	the	the	DET
ejpam-6118	37	15	spectrum	spectrum	NOUN
ejpam-6118	37	16	of	of	ADP
ejpam-6118	37	17	problem	problem	NOUN
ejpam-6118	37	18	(	(	PUNCT
ejpam-6118	37	19	2	2	NUM
ejpam-6118	37	20	)	)	PUNCT
ejpam-6118	37	21	,	,	PUNCT
ejpam-6118	37	22	and	and	CCONJ
ejpam-6118	37	23	function	function	NOUN
ejpam-6118	37	24	λ2(t	λ2(t	PROPN
ejpam-6118	37	25	)	)	PUNCT
ejpam-6118	37	26	=	=	PUNCT
ejpam-6118	38	1	−iβ′(t	−iβ′(t	X
ejpam-6118	38	2	)	)	PUNCT
ejpam-6118	38	3	is	be	AUX
ejpam-6118	38	4	the	the	DET
ejpam-6118	38	5	frequency	frequency	NOUN
ejpam-6118	38	6	of	of	ADP
ejpam-6118	38	7	a	a	DET
ejpam-6118	38	8	rapidly	rapidly	ADV
ejpam-6118	38	9	oscillating	oscillate	VERB
ejpam-6118	38	10	in	in	ADP
ejpam-6118	38	11	-	-	PUNCT
ejpam-6118	38	12	homogeneity	homogeneity	NOUN
ejpam-6118	38	13	.	.	PUNCT
ejpam-6118	39	1	problem	problem	NOUN
ejpam-6118	39	2	(	(	PUNCT
ejpam-6118	39	3	1.2	1.2	NUM
ejpam-6118	39	4	)	)	PUNCT
ejpam-6118	39	5	will	will	AUX
ejpam-6118	39	6	be	be	AUX
ejpam-6118	39	7	considered	consider	VERB
ejpam-6118	39	8	under	under	ADP
ejpam-6118	39	9	the	the	DET
ejpam-6118	39	10	following	following	ADJ
ejpam-6118	39	11	conditions	condition	NOUN
ejpam-6118	39	12	:	:	PUNCT
ejpam-6118	39	13	(	(	PUNCT
ejpam-6118	39	14	i	i	NOUN
ejpam-6118	39	15	)	)	PUNCT
ejpam-6118	39	16	a(t	a(t	PROPN
ejpam-6118	39	17	)	)	PUNCT
ejpam-6118	39	18	,	,	PUNCT
ejpam-6118	39	19	β(t	β(t	PROPN
ejpam-6118	39	20	)	)	PUNCT
ejpam-6118	39	21	,	,	PUNCT
ejpam-6118	40	1	h1(t	h1(t	PROPN
ejpam-6118	40	2	)	)	PUNCT
ejpam-6118	40	3	,	,	PUNCT
ejpam-6118	40	4	h2(t	h2(t	NOUN
ejpam-6118	40	5	)	)	PUNCT
ejpam-6118	40	6	∈	∈	PROPN
ejpam-6118	40	7	c[t0	c[t0	NOUN
ejpam-6118	40	8	,	,	PUNCT
ejpam-6118	40	9	t	t	X
ejpam-6118	40	10	]	]	PUNCT
ejpam-6118	40	11	,	,	PUNCT
ejpam-6118	40	12	k(t	k(t	PROPN
ejpam-6118	40	13	,	,	PUNCT
ejpam-6118	40	14	s	s	X
ejpam-6118	40	15	)	)	PUNCT
ejpam-6118	40	16	∈	∈	PROPN
ejpam-6118	40	17	c∞(t0	c∞(t0	PROPN
ejpam-6118	40	18	≤	≤	PROPN
ejpam-6118	40	19	s	s	PART
ejpam-6118	40	20	≤	≤	NUM
ejpam-6118	40	21	t	t	NOUN
ejpam-6118	40	22	≤	≤	PROPN
ejpam-6118	40	23	t	t	PROPN
ejpam-6118	40	24	)	)	PUNCT
ejpam-6118	40	25	;	;	PUNCT
ejpam-6118	40	26	(	(	PUNCT
ejpam-6118	40	27	ii	ii	NOUN
ejpam-6118	40	28	)	)	PUNCT
ejpam-6118	40	29	a(t	a(t	NOUN
ejpam-6118	40	30	)	)	PUNCT
ejpam-6118	40	31	<	<	X
ejpam-6118	40	32	0	0	PUNCT
ejpam-6118	40	33	∀t	∀t	PROPN
ejpam-6118	40	34	∈	∈	PROPN
ejpam-6118	40	35	[	[	X
ejpam-6118	40	36	t0	t0	PROPN
ejpam-6118	40	37	,	,	PUNCT
ejpam-6118	40	38	t	t	X
ejpam-6118	40	39	]	]	PUNCT
ejpam-6118	40	40	.	.	PUNCT
ejpam-6118	41	1	we	we	PRON
ejpam-6118	41	2	will	will	AUX
ejpam-6118	41	3	develop	develop	VERB
ejpam-6118	41	4	an	an	DET
ejpam-6118	41	5	algorithm	algorithm	NOUN
ejpam-6118	41	6	for	for	ADP
ejpam-6118	41	7	constructing	construct	VERB
ejpam-6118	41	8	a	a	DET
ejpam-6118	41	9	regularized	regularize	VERB
ejpam-6118	41	10	asymptotic	asymptotic	ADJ
ejpam-6118	41	11	solution	solution	NOUN
ejpam-6118	41	12	[	[	X
ejpam-6118	41	13	1	1	NUM
ejpam-6118	41	14	,	,	PUNCT
ejpam-6118	41	15	2	2	NUM
ejpam-6118	41	16	]	]	PUNCT
ejpam-6118	41	17	of	of	ADP
ejpam-6118	41	18	problem	problem	NOUN
ejpam-6118	41	19	(	(	PUNCT
ejpam-6118	41	20	1.2	1.2	NUM
ejpam-6118	41	21	)	)	PUNCT
ejpam-6118	41	22	.	.	PUNCT
ejpam-6118	42	1	2	2	X
ejpam-6118	42	2	.	.	X
ejpam-6118	42	3	regularization	regularization	NOUN
ejpam-6118	42	4	of	of	ADP
ejpam-6118	42	5	the	the	DET
ejpam-6118	42	6	problem	problem	NOUN
ejpam-6118	42	7	(	(	PUNCT
ejpam-6118	42	8	1.2	1.2	NUM
ejpam-6118	42	9	)	)	PUNCT
ejpam-6118	42	10	denote	denote	NOUN
ejpam-6118	42	11	by	by	ADP
ejpam-6118	42	12	σ	σ	PROPN
ejpam-6118	42	13	=	=	SYM
ejpam-6118	42	14	σ(ε	σ(ε	PROPN
ejpam-6118	42	15	)	)	PUNCT
ejpam-6118	42	16	independent	independent	NOUN
ejpam-6118	42	17	of	of	ADP
ejpam-6118	42	18	magnitude	magnitude	NOUN
ejpam-6118	42	19	σ	σ	NOUN
ejpam-6118	42	20	=	=	PUNCT
ejpam-6118	43	1	e−	e−	NOUN
ejpam-6118	43	2	i	i	PRON
ejpam-6118	43	3	ε	ε	PROPN
ejpam-6118	43	4	β(t0	β(t0	NOUN
ejpam-6118	43	5	)	)	PUNCT
ejpam-6118	43	6	,	,	PUNCT
ejpam-6118	43	7	and	and	CCONJ
ejpam-6118	43	8	introduce	introduce	VERB
ejpam-6118	43	9	the	the	DET
ejpam-6118	43	10	regularized	regularized	ADJ
ejpam-6118	43	11	variables	variable	NOUN
ejpam-6118	43	12	:	:	PUNCT
ejpam-6118	43	13	τ1	τ1	NOUN
ejpam-6118	43	14	=	=	SYM
ejpam-6118	43	15	1	1	NUM
ejpam-6118	43	16	ε	ε	PROPN
ejpam-6118	43	17	t∫	t∫	PROPN
ejpam-6118	43	18	t0	t0	PROPN
ejpam-6118	43	19	θ(α−1)λ1(θ)dθ	θ(α−1)λ1(θ)dθ	NOUN
ejpam-6118	43	20	≡	≡	PROPN
ejpam-6118	43	21	ψ1(t	ψ1(t	PROPN
ejpam-6118	43	22	)	)	PUNCT
ejpam-6118	43	23	ε	ε	PROPN
ejpam-6118	43	24	,	,	PUNCT
ejpam-6118	43	25	τ2	τ2	NOUN
ejpam-6118	43	26	=	=	SYM
ejpam-6118	43	27	1	1	NUM
ejpam-6118	43	28	ε	ε	PROPN
ejpam-6118	43	29	t∫	t∫	PROPN
ejpam-6118	43	30	t0	t0	PROPN
ejpam-6118	43	31	λ2(θ)dθ	λ2(θ)dθ	X
ejpam-6118	43	32	≡	≡	PROPN
ejpam-6118	43	33	ψ2(t	ψ2(t	PROPN
ejpam-6118	43	34	)	)	PUNCT
ejpam-6118	43	35	ε	ε	PROPN
ejpam-6118	43	36	(	(	PUNCT
ejpam-6118	43	37	2.1	2.1	NUM
ejpam-6118	43	38	)	)	PUNCT
ejpam-6118	43	39	and	and	CCONJ
ejpam-6118	43	40	instead	instead	ADV
ejpam-6118	43	41	of	of	ADP
ejpam-6118	43	42	problem	problem	NOUN
ejpam-6118	43	43	(	(	PUNCT
ejpam-6118	43	44	1.2	1.2	NUM
ejpam-6118	43	45	)	)	PUNCT
ejpam-6118	43	46	,	,	PUNCT
ejpam-6118	43	47	consider	consider	VERB
ejpam-6118	43	48	the	the	DET
ejpam-6118	43	49	problem	problem	NOUN
ejpam-6118	43	50	lεz̃(t	lεz̃(t	PROPN
ejpam-6118	43	51	,	,	PUNCT
ejpam-6118	43	52	τ	τ	PROPN
ejpam-6118	43	53	,	,	PUNCT
ejpam-6118	43	54	σ	σ	PROPN
ejpam-6118	43	55	,	,	PUNCT
ejpam-6118	43	56	ε	ε	PROPN
ejpam-6118	43	57	)	)	PUNCT
ejpam-6118	43	58	≡	≡	PROPN
ejpam-6118	43	59	εt(1−α	εt(1−α	PROPN
ejpam-6118	43	60	)	)	PUNCT
ejpam-6118	43	61	∂z̃∂t	∂z̃∂t	PUNCT
ejpam-6118	44	1	+	+	CCONJ
ejpam-6118	44	2	λ1(t	λ1(t	ADJ
ejpam-6118	44	3	)	)	PUNCT
ejpam-6118	44	4	∂z̃	∂z̃	NOUN
ejpam-6118	44	5	∂τ1	∂τ1	NOUN
ejpam-6118	44	6	+	+	SYM
ejpam-6118	44	7	t(1−α)λ2(t	t(1−α)λ2(t	X
ejpam-6118	44	8	)	)	PUNCT
ejpam-6118	44	9	∂z̃	∂z̃	NOUN
ejpam-6118	44	10	∂τ2	∂τ2	PROPN
ejpam-6118	44	11	−	−	PROPN
ejpam-6118	44	12	−λ1(t)z̃	−λ1(t)z̃	NOUN
ejpam-6118	44	13	−	−	PROPN
ejpam-6118	44	14	t∫	t∫	PROPN
ejpam-6118	44	15	t0	t0	PROPN
ejpam-6118	44	16	k(t	k(t	PROPN
ejpam-6118	44	17	,	,	PUNCT
ejpam-6118	44	18	s)z̃	s)z̃	X
ejpam-6118	44	19	(	(	PUNCT
ejpam-6118	44	20	s	s	PROPN
ejpam-6118	44	21	,	,	PUNCT
ejpam-6118	44	22	ψ(s)ε	ψ(s)ε	PRON
ejpam-6118	44	23	,	,	PUNCT
ejpam-6118	44	24	σ	σ	PROPN
ejpam-6118	44	25	,	,	PUNCT
ejpam-6118	44	26	ε	ε	PROPN
ejpam-6118	44	27	)	)	PUNCT
ejpam-6118	44	28	ds	ds	PROPN
ejpam-6118	44	29	=	=	SYM
ejpam-6118	44	30	=	=	SYM
ejpam-6118	44	31	h1(t	h1(t	X
ejpam-6118	44	32	)	)	PUNCT
ejpam-6118	45	1	+	+	CCONJ
ejpam-6118	45	2	h2(t)e	h2(t)e	X
ejpam-6118	45	3	τ2σ	τ2σ	PROPN
ejpam-6118	45	4	,	,	PUNCT
ejpam-6118	45	5	z̃(t	z̃(t	PROPN
ejpam-6118	45	6	,	,	PUNCT
ejpam-6118	45	7	τ	τ	PROPN
ejpam-6118	45	8	,	,	PUNCT
ejpam-6118	45	9	σ	σ	PROPN
ejpam-6118	45	10	,	,	PUNCT
ejpam-6118	45	11	ε)|t	ε)|t	PROPN
ejpam-6118	45	12	=	=	SYM
ejpam-6118	45	13	t0,τ=0	t0,τ=0	PROPN
ejpam-6118	45	14	=	=	PROPN
ejpam-6118	45	15	z0	z0	PROPN
ejpam-6118	45	16	,	,	PUNCT
ejpam-6118	45	17	t	t	PROPN
ejpam-6118	45	18	∈	∈	PROPN
ejpam-6118	46	1	[	[	X
ejpam-6118	46	2	t0	t0	PROPN
ejpam-6118	46	3	,	,	PUNCT
ejpam-6118	46	4	t	t	X
ejpam-6118	46	5	]	]	PUNCT
ejpam-6118	46	6	,	,	PUNCT
ejpam-6118	46	7	(	(	PUNCT
ejpam-6118	46	8	2.2	2.2	NUM
ejpam-6118	46	9	)	)	PUNCT
ejpam-6118	46	10	for	for	ADP
ejpam-6118	46	11	the	the	DET
ejpam-6118	46	12	function	function	NOUN
ejpam-6118	46	13	z̃	z̃	PROPN
ejpam-6118	46	14	=	=	SYM
ejpam-6118	46	15	z̃(t	z̃(t	PROPN
ejpam-6118	46	16	,	,	PUNCT
ejpam-6118	46	17	τ	τ	PROPN
ejpam-6118	46	18	,	,	PUNCT
ejpam-6118	46	19	σ	σ	PROPN
ejpam-6118	46	20	,	,	PUNCT
ejpam-6118	46	21	ε	ε	PROPN
ejpam-6118	46	22	)	)	PUNCT
ejpam-6118	46	23	,	,	PUNCT
ejpam-6118	46	24	where	where	SCONJ
ejpam-6118	46	25	is	be	AUX
ejpam-6118	46	26	indicated	indicate	VERB
ejpam-6118	46	27	(	(	PUNCT
ejpam-6118	46	28	according	accord	VERB
ejpam-6118	46	29	(	(	PUNCT
ejpam-6118	46	30	2.1	2.1	NUM
ejpam-6118	46	31	)	)	PUNCT
ejpam-6118	46	32	):	):	PUNCT
ejpam-6118	46	33	τ	τ	PROPN
ejpam-6118	46	34	=	=	PUNCT
ejpam-6118	46	35	(	(	PUNCT
ejpam-6118	46	36	τ1	τ1	NOUN
ejpam-6118	46	37	,	,	PUNCT
ejpam-6118	46	38	τ2	τ2	NOUN
ejpam-6118	46	39	)	)	PUNCT
ejpam-6118	46	40	,	,	PUNCT
ejpam-6118	46	41	ψ	ψ	X
ejpam-6118	46	42	=	=	SYM
ejpam-6118	46	43	=	=	SYM
ejpam-6118	46	44	(	(	PUNCT
ejpam-6118	46	45	ψ1	ψ1	NOUN
ejpam-6118	46	46	,	,	PUNCT
ejpam-6118	46	47	ψ2	ψ2	NOUN
ejpam-6118	46	48	)	)	PUNCT
ejpam-6118	46	49	.	.	PUNCT
ejpam-6118	47	1	it	it	PRON
ejpam-6118	47	2	is	be	AUX
ejpam-6118	47	3	clear	clear	ADJ
ejpam-6118	47	4	that	that	SCONJ
ejpam-6118	47	5	if	if	SCONJ
ejpam-6118	47	6	z̃	z̃	PROPN
ejpam-6118	47	7	=	=	SYM
ejpam-6118	47	8	z̃(t	z̃(t	PROPN
ejpam-6118	47	9	,	,	PUNCT
ejpam-6118	47	10	τ	τ	PROPN
ejpam-6118	47	11	,	,	PUNCT
ejpam-6118	47	12	σ	σ	PROPN
ejpam-6118	47	13	,	,	PUNCT
ejpam-6118	47	14	ε	ε	PROPN
ejpam-6118	47	15	)	)	PUNCT
ejpam-6118	47	16	–	–	PUNCT
ejpam-6118	47	17	is	be	AUX
ejpam-6118	47	18	a	a	DET
ejpam-6118	47	19	solution	solution	NOUN
ejpam-6118	47	20	of	of	ADP
ejpam-6118	47	21	the	the	DET
ejpam-6118	47	22	problem	problem	NOUN
ejpam-6118	47	23	(	(	PUNCT
ejpam-6118	47	24	2.2	2.2	NUM
ejpam-6118	47	25	)	)	PUNCT
ejpam-6118	47	26	,	,	PUNCT
ejpam-6118	47	27	then	then	ADV
ejpam-6118	47	28	the	the	DET
ejpam-6118	47	29	function	function	NOUN
ejpam-6118	47	30	is	be	AUX
ejpam-6118	47	31	z̃	z̃	PROPN
ejpam-6118	47	32	=	=	SYM
ejpam-6118	47	33	z̃	z̃	PROPN
ejpam-6118	47	34	(	(	PUNCT
ejpam-6118	47	35	t	t	PROPN
ejpam-6118	47	36	,	,	PUNCT
ejpam-6118	47	37	ψ(t)ε	ψ(t)ε	PROPN
ejpam-6118	47	38	,	,	PUNCT
ejpam-6118	47	39	σ	σ	PROPN
ejpam-6118	47	40	,	,	PUNCT
ejpam-6118	47	41	ε	ε	PROPN
ejpam-6118	47	42	)	)	PUNCT
ejpam-6118	47	43	an	an	DET
ejpam-6118	47	44	exact	exact	ADJ
ejpam-6118	47	45	solution	solution	NOUN
ejpam-6118	47	46	to	to	ADP
ejpam-6118	47	47	problem	problem	NOUN
ejpam-6118	47	48	(	(	PUNCT
ejpam-6118	47	49	1.2	1.2	NUM
ejpam-6118	47	50	)	)	PUNCT
ejpam-6118	47	51	,	,	PUNCT
ejpam-6118	47	52	therefore	therefore	ADV
ejpam-6118	47	53	,	,	PUNCT
ejpam-6118	47	54	problem	problem	NOUN
ejpam-6118	47	55	a.	a.	PROPN
ejpam-6118	47	56	bobodzhanov	bobodzhanov	PROPN
ejpam-6118	47	57	,	,	PUNCT
ejpam-6118	47	58	b.	b.	PROPN
ejpam-6118	47	59	kalimbetov	kalimbetov	PROPN
ejpam-6118	47	60	,	,	PUNCT
ejpam-6118	47	61	k.	k.	PROPN
ejpam-6118	47	62	turekhanov	turekhanov	PROPN
ejpam-6118	47	63	/	/	SYM
ejpam-6118	47	64	eur	eur	PROPN
ejpam-6118	47	65	.	.	PUNCT
ejpam-6118	48	1	j.	j.	PROPN
ejpam-6118	48	2	pure	pure	PROPN
ejpam-6118	48	3	appl	appl	PROPN
ejpam-6118	48	4	.	.	PROPN
ejpam-6118	48	5	math	math	PROPN
ejpam-6118	48	6	,	,	PUNCT
ejpam-6118	48	7	18	18	NUM
ejpam-6118	48	8	(	(	PUNCT
ejpam-6118	48	9	3	3	NUM
ejpam-6118	48	10	)	)	PUNCT
ejpam-6118	48	11	(	(	PUNCT
ejpam-6118	48	12	2025	2025	NUM
ejpam-6118	48	13	)	)	PUNCT
ejpam-6118	48	14	,	,	PUNCT
ejpam-6118	48	15	6544	6544	NUM
ejpam-6118	48	16	4	4	NUM
ejpam-6118	48	17	of	of	ADP
ejpam-6118	48	18	14	14	NUM
ejpam-6118	48	19	(	(	PUNCT
ejpam-6118	48	20	2.2	2.2	NUM
ejpam-6118	48	21	)	)	PUNCT
ejpam-6118	48	22	is	be	AUX
ejpam-6118	48	23	extended	extend	VERB
ejpam-6118	48	24	with	with	ADP
ejpam-6118	48	25	respect	respect	NOUN
ejpam-6118	48	26	to	to	ADP
ejpam-6118	48	27	problem	problem	NOUN
ejpam-6118	48	28	(	(	PUNCT
ejpam-6118	48	29	1.2	1.2	NUM
ejpam-6118	48	30	)	)	PUNCT
ejpam-6118	48	31	.	.	PUNCT
ejpam-6118	49	1	however	however	ADV
ejpam-6118	49	2	,	,	PUNCT
ejpam-6118	49	3	it	it	PRON
ejpam-6118	49	4	can	can	AUX
ejpam-6118	49	5	not	not	PART
ejpam-6118	49	6	be	be	AUX
ejpam-6118	49	7	considered	consider	VERB
ejpam-6118	49	8	fully	fully	ADV
ejpam-6118	49	9	regularized	regularize	VERB
ejpam-6118	49	10	,	,	PUNCT
ejpam-6118	49	11	since	since	SCONJ
ejpam-6118	49	12	it	it	PRON
ejpam-6118	49	13	does	do	AUX
ejpam-6118	49	14	not	not	PART
ejpam-6118	49	15	regularize	regularize	VERB
ejpam-6118	49	16	the	the	DET
ejpam-6118	49	17	integral	integral	ADJ
ejpam-6118	49	18	jz̃	jz̃	NUM
ejpam-6118	49	19	≡	≡	PROPN
ejpam-6118	49	20	j	j	PROPN
ejpam-6118	49	21	(	(	PUNCT
ejpam-6118	49	22	z̃(t	z̃(t	PROPN
ejpam-6118	49	23	,	,	PUNCT
ejpam-6118	49	24	τ	τ	PROPN
ejpam-6118	49	25	,	,	PUNCT
ejpam-6118	49	26	σ	σ	PROPN
ejpam-6118	49	27	,	,	PUNCT
ejpam-6118	49	28	ε)|t	ε)|t	PROPN
ejpam-6118	49	29	=	=	SYM
ejpam-6118	49	30	s	s	X
ejpam-6118	49	31	,	,	PUNCT
ejpam-6118	49	32	τ	τ	PROPN
ejpam-6118	49	33	=	=	NOUN
ejpam-6118	49	34	ψ(s)/ε	ψ(s)/ε	X
ejpam-6118	49	35	)	)	PUNCT
ejpam-6118	50	1	=	=	PUNCT
ejpam-6118	51	1	t∫	t∫	PROPN
ejpam-6118	51	2	t0	t0	X
ejpam-6118	51	3	k(t	k(t	PROPN
ejpam-6118	51	4	,	,	PUNCT
ejpam-6118	51	5	s)z̃	s)z̃	X
ejpam-6118	51	6	(	(	PUNCT
ejpam-6118	51	7	s	s	PROPN
ejpam-6118	51	8	,	,	PUNCT
ejpam-6118	51	9	ψ(s	ψ(s	NUM
ejpam-6118	51	10	)	)	PUNCT
ejpam-6118	51	11	ε	ε	PROPN
ejpam-6118	51	12	,	,	PUNCT
ejpam-6118	51	13	σ	σ	PROPN
ejpam-6118	51	14	,	,	PUNCT
ejpam-6118	51	15	ε	ε	PROPN
ejpam-6118	51	16	)	)	PUNCT
ejpam-6118	51	17	ds	ds	PROPN
ejpam-6118	51	18	.	.	PROPN
ejpam-6118	51	19	for	for	ADP
ejpam-6118	51	20	its	its	PRON
ejpam-6118	51	21	regularization	regularization	NOUN
ejpam-6118	51	22	,	,	PUNCT
ejpam-6118	51	23	we	we	PRON
ejpam-6118	51	24	introduce	introduce	VERB
ejpam-6118	51	25	the	the	DET
ejpam-6118	51	26	class	class	NOUN
ejpam-6118	51	27	mε	mε	NOUN
ejpam-6118	51	28	asymptotically	asymptotically	ADV
ejpam-6118	51	29	invariant	invariant	ADJ
ejpam-6118	51	30	with	with	ADP
ejpam-6118	51	31	respect	respect	NOUN
ejpam-6118	51	32	to	to	ADP
ejpam-6118	51	33	the	the	DET
ejpam-6118	51	34	operator	operator	NOUN
ejpam-6118	51	35	jz̃	jz̃	X
ejpam-6118	52	1	(	(	PUNCT
ejpam-6118	52	2	see	see	VERB
ejpam-6118	52	3	[	[	X
ejpam-6118	52	4	1	1	NUM
ejpam-6118	52	5	]	]	PUNCT
ejpam-6118	52	6	,	,	PUNCT
ejpam-6118	52	7	p.	p.	NOUN
ejpam-6118	52	8	62	62	NUM
ejpam-6118	52	9	]	]	PUNCT
ejpam-6118	52	10	)	)	PUNCT
ejpam-6118	52	11	.	.	PUNCT
ejpam-6118	53	1	consider	consider	VERB
ejpam-6118	53	2	first	first	ADV
ejpam-6118	53	3	the	the	DET
ejpam-6118	53	4	space	space	NOUN
ejpam-6118	53	5	u	u	NOUN
ejpam-6118	53	6	of	of	ADP
ejpam-6118	53	7	vector	vector	NOUN
ejpam-6118	53	8	functions	function	NOUN
ejpam-6118	53	9	z(t	z(t	PROPN
ejpam-6118	53	10	,	,	PUNCT
ejpam-6118	53	11	τ	τ	PROPN
ejpam-6118	53	12	,	,	PUNCT
ejpam-6118	53	13	σ	σ	PROPN
ejpam-6118	53	14	)	)	PUNCT
ejpam-6118	53	15	,	,	PUNCT
ejpam-6118	53	16	representable	representable	ADJ
ejpam-6118	53	17	by	by	ADP
ejpam-6118	53	18	the	the	DET
ejpam-6118	53	19	sums	sum	NOUN
ejpam-6118	53	20	z(t	z(t	PROPN
ejpam-6118	53	21	,	,	PUNCT
ejpam-6118	53	22	τ	τ	PROPN
ejpam-6118	53	23	,	,	PUNCT
ejpam-6118	53	24	σ	σ	PROPN
ejpam-6118	53	25	)	)	PUNCT
ejpam-6118	53	26	=	=	SYM
ejpam-6118	53	27	z0(t	z0(t	PROPN
ejpam-6118	53	28	,	,	PUNCT
ejpam-6118	53	29	σ	σ	PROPN
ejpam-6118	53	30	)	)	PUNCT
ejpam-6118	54	1	+	+	NUM
ejpam-6118	55	1	2∑	2∑	NUM
ejpam-6118	55	2	i=1	i=1	NUM
ejpam-6118	55	3	zi(t	zi(t	NOUN
ejpam-6118	55	4	,	,	PUNCT
ejpam-6118	55	5	σ)e	σ)e	ADV
ejpam-6118	55	6	τi	τi	ADP
ejpam-6118	55	7	,	,	PUNCT
ejpam-6118	55	8	zi(t	zi(t	NOUN
ejpam-6118	55	9	,	,	PUNCT
ejpam-6118	55	10	σ	σ	PROPN
ejpam-6118	55	11	)	)	PUNCT
ejpam-6118	55	12	∈	∈	PROPN
ejpam-6118	55	13	c∞	c∞	PROPN
ejpam-6118	55	14	(	(	PUNCT
ejpam-6118	55	15	[	[	X
ejpam-6118	55	16	t0	t0	X
ejpam-6118	55	17	,	,	PUNCT
ejpam-6118	55	18	t	t	X
ejpam-6118	55	19	]	]	PUNCT
ejpam-6118	55	20	,	,	PUNCT
ejpam-6118	55	21	c	c	X
ejpam-6118	55	22	)	)	PUNCT
ejpam-6118	55	23	,	,	PUNCT
ejpam-6118	55	24	i	i	PRON
ejpam-6118	55	25	=	=	NOUN
ejpam-6118	55	26	0	0	NUM
ejpam-6118	55	27	,	,	PUNCT
ejpam-6118	55	28	2	2	NUM
ejpam-6118	55	29	.	.	PUNCT
ejpam-6118	55	30	(	(	PUNCT
ejpam-6118	55	31	2.3	2.3	NUM
ejpam-6118	55	32	)	)	PUNCT
ejpam-6118	55	33	in	in	ADP
ejpam-6118	55	34	addition	addition	NOUN
ejpam-6118	55	35	,	,	PUNCT
ejpam-6118	55	36	the	the	DET
ejpam-6118	55	37	elements	element	NOUN
ejpam-6118	55	38	of	of	ADP
ejpam-6118	55	39	space	space	NOUN
ejpam-6118	55	40	u	u	PROPN
ejpam-6118	55	41	depend	depend	VERB
ejpam-6118	55	42	on	on	ADP
ejpam-6118	55	43	bounded	bound	VERB
ejpam-6118	55	44	in	in	ADP
ejpam-6118	55	45	ε	ε	PROPN
ejpam-6118	55	46	>	>	SYM
ejpam-6118	55	47	0	0	NUM
ejpam-6118	55	48	terms	term	NOUN
ejpam-6118	55	49	of	of	ADP
ejpam-6118	55	50	constant	constant	ADJ
ejpam-6118	55	51	σ	σ	NOUN
ejpam-6118	55	52	=	=	SYM
ejpam-6118	55	53	σ	σ	PROPN
ejpam-6118	55	54	(	(	PUNCT
ejpam-6118	55	55	ε	ε	PROPN
ejpam-6118	55	56	)	)	PUNCT
ejpam-6118	55	57	and	and	CCONJ
ejpam-6118	55	58	which	which	PRON
ejpam-6118	55	59	do	do	AUX
ejpam-6118	55	60	not	not	PART
ejpam-6118	55	61	affect	affect	VERB
ejpam-6118	55	62	the	the	DET
ejpam-6118	55	63	development	development	NOUN
ejpam-6118	55	64	of	of	ADP
ejpam-6118	55	65	the	the	DET
ejpam-6118	55	66	algorithm	algorithm	NOUN
ejpam-6118	55	67	described	describe	VERB
ejpam-6118	55	68	below	below	ADV
ejpam-6118	55	69	,	,	PUNCT
ejpam-6118	55	70	therefore	therefore	ADV
ejpam-6118	55	71	,	,	PUNCT
ejpam-6118	55	72	in	in	ADP
ejpam-6118	55	73	the	the	DET
ejpam-6118	55	74	record	record	NOUN
ejpam-6118	55	75	of	of	ADP
ejpam-6118	55	76	element	element	NOUN
ejpam-6118	55	77	(	(	PUNCT
ejpam-6118	55	78	2.3	2.3	NUM
ejpam-6118	55	79	)	)	PUNCT
ejpam-6118	55	80	of	of	ADP
ejpam-6118	55	81	this	this	DET
ejpam-6118	55	82	space	space	NOUN
ejpam-6118	55	83	u	u	NOUN
ejpam-6118	55	84	,	,	PUNCT
ejpam-6118	55	85	we	we	PRON
ejpam-6118	55	86	omit	omit	VERB
ejpam-6118	55	87	the	the	DET
ejpam-6118	55	88	dependence	dependence	NOUN
ejpam-6118	55	89	on	on	ADP
ejpam-6118	55	90	σ	σ	PROPN
ejpam-6118	55	91	=	=	SYM
ejpam-6118	55	92	σ(ε	σ(ε	PROPN
ejpam-6118	55	93	)	)	PUNCT
ejpam-6118	55	94	for	for	ADP
ejpam-6118	55	95	brevity	brevity	NOUN
ejpam-6118	55	96	.	.	PUNCT
ejpam-6118	56	1	we	we	PRON
ejpam-6118	56	2	show	show	VERB
ejpam-6118	56	3	that	that	SCONJ
ejpam-6118	56	4	the	the	DET
ejpam-6118	56	5	class	class	NOUN
ejpam-6118	56	6	mε	mε	NOUN
ejpam-6118	56	7	=	=	SYM
ejpam-6118	56	8	u	u	PROPN
ejpam-6118	56	9	|τ	|τ	NOUN
ejpam-6118	56	10	=	=	NOUN
ejpam-6118	56	11	ψ(t)/ε	ψ(t)/ε	PROPN
ejpam-6118	56	12	is	be	AUX
ejpam-6118	56	13	asymptotically	asymptotically	ADV
ejpam-6118	56	14	invariant	invariant	ADJ
ejpam-6118	56	15	with	with	ADP
ejpam-6118	56	16	respect	respect	NOUN
ejpam-6118	56	17	to	to	ADP
ejpam-6118	56	18	the	the	DET
ejpam-6118	56	19	operator	operator	NOUN
ejpam-6118	56	20	j	j	PROPN
ejpam-6118	56	21	.	.	PUNCT
ejpam-6118	57	1	for	for	ADP
ejpam-6118	57	2	the	the	DET
ejpam-6118	57	3	space	space	NOUN
ejpam-6118	57	4	u	u	NOUN
ejpam-6118	57	5	we	we	PRON
ejpam-6118	57	6	take	take	VERB
ejpam-6118	57	7	the	the	DET
ejpam-6118	57	8	space	space	NOUN
ejpam-6118	57	9	of	of	ADP
ejpam-6118	57	10	functions	function	NOUN
ejpam-6118	57	11	z	z	X
ejpam-6118	57	12	(	(	PUNCT
ejpam-6118	57	13	t	t	PROPN
ejpam-6118	57	14	,	,	PUNCT
ejpam-6118	57	15	τ	τ	PROPN
ejpam-6118	57	16	,	,	PUNCT
ejpam-6118	57	17	σ	σ	PROPN
ejpam-6118	57	18	)	)	PUNCT
ejpam-6118	57	19	,	,	PUNCT
ejpam-6118	57	20	represented	represent	VERB
ejpam-6118	57	21	by	by	ADP
ejpam-6118	57	22	sums	sum	NOUN
ejpam-6118	57	23	jz̃(t	jz̃(t	PROPN
ejpam-6118	57	24	,	,	PUNCT
ejpam-6118	57	25	τ	τ	PROPN
ejpam-6118	57	26	,	,	PUNCT
ejpam-6118	57	27	ε	ε	PROPN
ejpam-6118	57	28	)	)	PUNCT
ejpam-6118	57	29	≡	≡	PROPN
ejpam-6118	58	1	t∫	t∫	PROPN
ejpam-6118	58	2	t0	t0	PROPN
ejpam-6118	58	3	k(t	k(t	PROPN
ejpam-6118	58	4	,	,	PUNCT
ejpam-6118	58	5	s)z0(s)ds+	s)z0(s)ds+	NOUN
ejpam-6118	58	6	t∫	t∫	PROPN
ejpam-6118	58	7	t0	t0	PROPN
ejpam-6118	58	8	k(t	k(t	PROPN
ejpam-6118	58	9	,	,	PUNCT
ejpam-6118	58	10	s)z1(s)e	s)z1(s)e	NOUN
ejpam-6118	58	11	1	1	NUM
ejpam-6118	58	12	ε	ε	PROPN
ejpam-6118	58	13	s∫	s∫	PROPN
ejpam-6118	58	14	t0	t0	PROPN
ejpam-6118	58	15	θ(α−1)λ1(θ)dθ	θ(α−1)λ1(θ)dθ	NOUN
ejpam-6118	58	16	ds+	ds+	NOUN
ejpam-6118	58	17	+	+	CCONJ
ejpam-6118	58	18	t∫	t∫	PROPN
ejpam-6118	58	19	t0	t0	NUM
ejpam-6118	58	20	k(t	k(t	PROPN
ejpam-6118	58	21	,	,	PUNCT
ejpam-6118	58	22	s)z2(s)e	s)z2(s)e	PROPN
ejpam-6118	58	23	1	1	NUM
ejpam-6118	58	24	ε	ε	PROPN
ejpam-6118	58	25	s∫	s∫	PROPN
ejpam-6118	58	26	t0	t0	PROPN
ejpam-6118	58	27	λ2(θ)dθ	λ2(θ)dθ	X
ejpam-6118	58	28	ds	ds	X
ejpam-6118	58	29	.	.	NOUN
ejpam-6118	58	30	integrating	integrating	NOUN
ejpam-6118	58	31	by	by	ADP
ejpam-6118	58	32	parts	part	NOUN
ejpam-6118	58	33	:	:	PUNCT
ejpam-6118	58	34	j1(t	j1(t	PROPN
ejpam-6118	58	35	,	,	PUNCT
ejpam-6118	58	36	ε	ε	PROPN
ejpam-6118	58	37	)	)	PUNCT
ejpam-6118	58	38	=	=	PUNCT
ejpam-6118	58	39	ε	ε	PROPN
ejpam-6118	58	40	t∫	t∫	PROPN
ejpam-6118	58	41	t0	t0	PROPN
ejpam-6118	58	42	k(t	k(t	PROPN
ejpam-6118	58	43	,	,	PUNCT
ejpam-6118	58	44	s)z1(s	s)z1(s	X
ejpam-6118	58	45	)	)	PUNCT
ejpam-6118	58	46	s(α−1)λ1(s	s(α−1)λ1(s	PROPN
ejpam-6118	58	47	)	)	PUNCT
ejpam-6118	58	48	de	de	PROPN
ejpam-6118	58	49	1	1	NUM
ejpam-6118	58	50	ε	ε	PROPN
ejpam-6118	58	51	s∫	s∫	PROPN
ejpam-6118	58	52	t0	t0	PROPN
ejpam-6118	58	53	θ(α−1)λ1(θ)dθ	θ(α−1)λ1(θ)dθ	NOUN
ejpam-6118	58	54	=	=	SYM
ejpam-6118	58	55	=	=	SYM
ejpam-6118	58	56	ε	ε	PROPN
ejpam-6118	58	57	k(t	k(t	NUM
ejpam-6118	58	58	,	,	PUNCT
ejpam-6118	58	59	s)z1(s	s)z1(s	X
ejpam-6118	58	60	)	)	PUNCT
ejpam-6118	58	61	s(α−1)λ1(s	s(α−1)λ1(s	PROPN
ejpam-6118	58	62	)	)	PUNCT
ejpam-6118	58	63	e	e	NOUN
ejpam-6118	58	64	1	1	NUM
ejpam-6118	58	65	ε	ε	PROPN
ejpam-6118	58	66	s∫	s∫	PROPN
ejpam-6118	58	67	t0	t0	PROPN
ejpam-6118	58	68	θ(α−1)λ1(θ)dθ	θ(α−1)λ1(θ)dθ	PROPN
ejpam-6118	58	69	∣∣∣∣∣∣	∣∣∣∣∣∣	PROPN
ejpam-6118	58	70	s	s	PROPN
ejpam-6118	58	71	=	=	PROPN
ejpam-6118	58	72	t	t	NOUN
ejpam-6118	58	73	s	s	NOUN
ejpam-6118	58	74	=	=	X
ejpam-6118	58	75	t0	t0	NUM
ejpam-6118	58	76	−	−	NOUN
ejpam-6118	58	77	−	−	PROPN
ejpam-6118	58	78	t∫	t∫	PROPN
ejpam-6118	58	79	t0	t0	PROPN
ejpam-6118	58	80	∂	∂	NOUN
ejpam-6118	59	1	∂s	∂s	PROPN
ejpam-6118	60	1	(	(	PUNCT
ejpam-6118	60	2	k(t	k(t	PROPN
ejpam-6118	60	3	,	,	PUNCT
ejpam-6118	60	4	s)z1(s	s)z1(s	X
ejpam-6118	60	5	)	)	PUNCT
ejpam-6118	60	6	s(α−1)λ1(s	s(α−1)λ1(s	PROPN
ejpam-6118	60	7	)	)	PUNCT
ejpam-6118	60	8	)	)	PUNCT
ejpam-6118	61	1	e	e	X
ejpam-6118	61	2	1	1	NUM
ejpam-6118	61	3	ε	ε	PROPN
ejpam-6118	61	4	s∫	s∫	PROPN
ejpam-6118	61	5	t0	t0	PROPN
ejpam-6118	61	6	θ(α−1)λ1(θ)dθ	θ(α−1)λ1(θ)dθ	NOUN
ejpam-6118	61	7	ds	ds	ADJ
ejpam-6118	61	8			NOUN
ejpam-6118	61	9	=	=	PUNCT
ejpam-6118	61	10	=	=	SYM
ejpam-6118	61	11	ε	ε	PROPN
ejpam-6118	61	12	k(t	k(t	PROPN
ejpam-6118	61	13	,	,	PUNCT
ejpam-6118	61	14	t)z1(t	t)z1(t	NUM
ejpam-6118	61	15	)	)	PUNCT
ejpam-6118	61	16	t(α−1)λ1(t	t(α−1)λ1(t	PROPN
ejpam-6118	61	17	)	)	PUNCT
ejpam-6118	61	18	e	e	NOUN
ejpam-6118	61	19	1	1	NUM
ejpam-6118	61	20	ε	ε	PROPN
ejpam-6118	61	21	t∫	t∫	PROPN
ejpam-6118	61	22	t0	t0	PROPN
ejpam-6118	61	23	θ(α−1)λ1(θ)dθ	θ(α−1)λ1(θ)dθ	NOUN
ejpam-6118	61	24	−	−	PROPN
ejpam-6118	61	25	k(t	k(t	PROPN
ejpam-6118	61	26	,	,	PUNCT
ejpam-6118	61	27	t0)z1(t0	t0)z1(t0	NUM
ejpam-6118	61	28	)	)	PUNCT
ejpam-6118	61	29	t0(α−1)λ1(t0	t0(α−1)λ1(t0	PROPN
ejpam-6118	61	30	)	)	PUNCT
ejpam-6118	61	31	−	−	PROPN
ejpam-6118	61	32	a.	a.	NOUN
ejpam-6118	61	33	bobodzhanov	bobodzhanov	PROPN
ejpam-6118	61	34	,	,	PUNCT
ejpam-6118	61	35	b.	b.	PROPN
ejpam-6118	61	36	kalimbetov	kalimbetov	PROPN
ejpam-6118	61	37	,	,	PUNCT
ejpam-6118	61	38	k.	k.	PROPN
ejpam-6118	61	39	turekhanov	turekhanov	PROPN
ejpam-6118	61	40	/	/	SYM
ejpam-6118	61	41	eur	eur	PROPN
ejpam-6118	61	42	.	.	PUNCT
ejpam-6118	62	1	j.	j.	PROPN
ejpam-6118	62	2	pure	pure	PROPN
ejpam-6118	62	3	appl	appl	PROPN
ejpam-6118	62	4	.	.	PROPN
ejpam-6118	62	5	math	math	PROPN
ejpam-6118	62	6	,	,	PUNCT
ejpam-6118	62	7	18	18	NUM
ejpam-6118	62	8	(	(	PUNCT
ejpam-6118	62	9	3	3	NUM
ejpam-6118	62	10	)	)	PUNCT
ejpam-6118	62	11	(	(	PUNCT
ejpam-6118	62	12	2025	2025	NUM
ejpam-6118	62	13	)	)	PUNCT
ejpam-6118	62	14	,	,	PUNCT
ejpam-6118	62	15	6544	6544	NUM
ejpam-6118	62	16	5	5	NUM
ejpam-6118	62	17	of	of	ADP
ejpam-6118	62	18	14	14	NUM
ejpam-6118	62	19	−ε	−ε	NOUN
ejpam-6118	62	20	t∫	t∫	PROPN
ejpam-6118	62	21	t0	t0	PROPN
ejpam-6118	62	22	∂	∂	NUM
ejpam-6118	63	1	∂s	∂s	PROPN
ejpam-6118	63	2	(	(	PUNCT
ejpam-6118	63	3	k(t	k(t	PROPN
ejpam-6118	63	4	,	,	PUNCT
ejpam-6118	63	5	s)z1(s	s)z1(s	X
ejpam-6118	63	6	)	)	PUNCT
ejpam-6118	63	7	s(α−1)λ1(s	s(α−1)λ1(s	PROPN
ejpam-6118	63	8	)	)	PUNCT
ejpam-6118	63	9	)	)	PUNCT
ejpam-6118	64	1	e	e	X
ejpam-6118	64	2	1	1	NUM
ejpam-6118	64	3	ε	ε	PROPN
ejpam-6118	64	4	s∫	s∫	PROPN
ejpam-6118	64	5	t0	t0	PROPN
ejpam-6118	65	1	θ(α−1)λ1(θ)dθ	θ(α−1)λ1(θ)dθ	NOUN
ejpam-6118	65	2	ds	ds	X
ejpam-6118	65	3	.	.	NOUN
ejpam-6118	65	4	continuing	continue	VERB
ejpam-6118	65	5	this	this	DET
ejpam-6118	65	6	process	process	NOUN
ejpam-6118	65	7	further	far	ADV
ejpam-6118	65	8	,	,	PUNCT
ejpam-6118	65	9	we	we	PRON
ejpam-6118	65	10	will	will	AUX
ejpam-6118	65	11	have	have	VERB
ejpam-6118	65	12	j1(t	j1(t	PROPN
ejpam-6118	65	13	,	,	PUNCT
ejpam-6118	65	14	ε	ε	PROPN
ejpam-6118	65	15	)	)	PUNCT
ejpam-6118	65	16	=	=	NOUN
ejpam-6118	66	1	∞∑	∞∑	NUM
ejpam-6118	66	2	ν=0	ν=0	PRON
ejpam-6118	66	3	εν+1	εν+1	ADP
ejpam-6118	66	4	(iν1	(iν1	NOUN
ejpam-6118	66	5	(	(	PUNCT
ejpam-6118	66	6	k(t	k(t	PROPN
ejpam-6118	66	7	,	,	PUNCT
ejpam-6118	66	8	s)z1(s)))s	s)z1(s)))s	ADP
ejpam-6118	66	9	=	=	NOUN
ejpam-6118	66	10	te	te	PROPN
ejpam-6118	66	11	1	1	NUM
ejpam-6118	66	12	ε	ε	PROPN
ejpam-6118	66	13	s∫	s∫	PROPN
ejpam-6118	66	14	t0	t0	PROPN
ejpam-6118	66	15	θ(α−1)λ1(θ)dθ	θ(α−1)λ1(θ)dθ	NOUN
ejpam-6118	66	16	−	−	PROPN
ejpam-6118	66	17	(	(	PUNCT
ejpam-6118	66	18	iν1	iν1	NOUN
ejpam-6118	66	19	(	(	PUNCT
ejpam-6118	66	20	k(t	k(t	NOUN
ejpam-6118	66	21	,	,	PUNCT
ejpam-6118	66	22	s)z1(s)))s	s)z1(s)))s	ADP
ejpam-6118	66	23	=	=	NOUN
ejpam-6118	66	24	t0	t0	NOUN
ejpam-6118	66	25			NOUN
ejpam-6118	66	26	,	,	PUNCT
ejpam-6118	66	27	where	where	SCONJ
ejpam-6118	66	28	i01	i01	NOUN
ejpam-6118	66	29	=	=	SYM
ejpam-6118	66	30	1	1	NUM
ejpam-6118	66	31	s(α−1)λ1(s	s(α−1)λ1(s	PROPN
ejpam-6118	66	32	)	)	PUNCT
ejpam-6118	66	33	·	·	PUNCT
ejpam-6118	66	34	,	,	PUNCT
ejpam-6118	66	35	iν1	iν1	NOUN
ejpam-6118	66	36	=	=	SYM
ejpam-6118	66	37	1	1	NUM
ejpam-6118	66	38	s(α−1)λ1(s	s(α−1)λ1(s	PROPN
ejpam-6118	66	39	)	)	PUNCT
ejpam-6118	66	40	∂	∂	NOUN
ejpam-6118	66	41	∂s	∂s	PROPN
ejpam-6118	66	42	iν−1	iν−1	PROPN
ejpam-6118	66	43	1	1	NUM
ejpam-6118	66	44	,	,	PUNCT
ejpam-6118	66	45	ν	ν	X
ejpam-6118	66	46	≥	≥	NOUN
ejpam-6118	66	47	1	1	NUM
ejpam-6118	66	48	.	.	PUNCT
ejpam-6118	67	1	j2(t	j2(t	PROPN
ejpam-6118	67	2	,	,	PUNCT
ejpam-6118	67	3	ε	ε	PROPN
ejpam-6118	67	4	)	)	PUNCT
ejpam-6118	67	5	=	=	PUNCT
ejpam-6118	67	6	ε	ε	PROPN
ejpam-6118	67	7	t∫	t∫	PROPN
ejpam-6118	67	8	t0	t0	PROPN
ejpam-6118	67	9	k(t	k(t	PROPN
ejpam-6118	67	10	,	,	PUNCT
ejpam-6118	67	11	s)z2(s	s)z2(s	PROPN
ejpam-6118	67	12	)	)	PUNCT
ejpam-6118	67	13	λ2(s	λ2(s	NOUN
ejpam-6118	67	14	)	)	PUNCT
ejpam-6118	67	15	de	de	ADP
ejpam-6118	67	16	1	1	NUM
ejpam-6118	67	17	ε	ε	PROPN
ejpam-6118	67	18	s∫	s∫	PROPN
ejpam-6118	67	19	t0	t0	PROPN
ejpam-6118	67	20	λ2(θ)dθ	λ2(θ)dθ	X
ejpam-6118	67	21	=	=	SYM
ejpam-6118	67	22	=	=	SYM
ejpam-6118	67	23	ε	ε	PROPN
ejpam-6118	67	24	k(t	k(t	PROPN
ejpam-6118	67	25	,	,	PUNCT
ejpam-6118	67	26	s)z2(s	s)z2(s	PROPN
ejpam-6118	67	27	)	)	PUNCT
ejpam-6118	67	28	λ2(s	λ2(s	NOUN
ejpam-6118	67	29	)	)	PUNCT
ejpam-6118	67	30	e	e	NOUN
ejpam-6118	67	31	1	1	NUM
ejpam-6118	67	32	ε	ε	PROPN
ejpam-6118	67	33	s∫	s∫	PROPN
ejpam-6118	67	34	t0	t0	PROPN
ejpam-6118	67	35	λ2(θ)dθ	λ2(θ)dθ	X
ejpam-6118	67	36	∣∣∣∣∣∣	∣∣∣∣∣∣	PROPN
ejpam-6118	67	37	s	s	PROPN
ejpam-6118	67	38	=	=	PROPN
ejpam-6118	67	39	t	t	NOUN
ejpam-6118	67	40	s	s	NOUN
ejpam-6118	67	41	=	=	X
ejpam-6118	67	42	t0	t0	X
ejpam-6118	67	43	−	−	PROPN
ejpam-6118	67	44	t∫	t∫	PROPN
ejpam-6118	67	45	t0	t0	PROPN
ejpam-6118	67	46	∂	∂	NOUN
ejpam-6118	67	47	∂s	∂s	PROPN
ejpam-6118	67	48	(	(	PUNCT
ejpam-6118	67	49	k(t	k(t	PROPN
ejpam-6118	67	50	,	,	PUNCT
ejpam-6118	67	51	s)z2(s	s)z2(s	PROPN
ejpam-6118	67	52	)	)	PUNCT
ejpam-6118	67	53	λ2(s	λ2(s	NOUN
ejpam-6118	67	54	)	)	PUNCT
ejpam-6118	67	55	)	)	PUNCT
ejpam-6118	68	1	e	e	X
ejpam-6118	68	2	1	1	NUM
ejpam-6118	68	3	ε	ε	PROPN
ejpam-6118	68	4	s∫	s∫	PROPN
ejpam-6118	68	5	t0	t0	PROPN
ejpam-6118	68	6	λ2(θ)dθ	λ2(θ)dθ	X
ejpam-6118	68	7	ds	ds	ADJ
ejpam-6118	68	8	−	−	X
ejpam-6118	68	9	=	=	SYM
ejpam-6118	68	10	ε	ε	PROPN
ejpam-6118	68	11	k(t	k(t	PROPN
ejpam-6118	68	12	,	,	PUNCT
ejpam-6118	68	13	t)z2(t	t)z2(t	NOUN
ejpam-6118	68	14	)	)	PUNCT
ejpam-6118	68	15	λ2(t	λ2(t	SYM
ejpam-6118	68	16	)	)	PUNCT
ejpam-6118	68	17	e	e	NOUN
ejpam-6118	68	18	1	1	NUM
ejpam-6118	68	19	ε	ε	PROPN
ejpam-6118	68	20	t∫	t∫	PROPN
ejpam-6118	68	21	t0	t0	PROPN
ejpam-6118	68	22	λ2(θ)dθ	λ2(θ)dθ	ADP
ejpam-6118	68	23	−	−	PROPN
ejpam-6118	68	24	k(t	k(t	PROPN
ejpam-6118	68	25	,	,	PUNCT
ejpam-6118	68	26	t0)z2(t0	t0)z2(t0	NOUN
ejpam-6118	68	27	)	)	PUNCT
ejpam-6118	68	28	λ2(t0	λ2(t0	NOUN
ejpam-6118	68	29	)	)	PUNCT
ejpam-6118	68	30	−	−	PROPN
ejpam-6118	68	31	−ε	−ε	PROPN
ejpam-6118	68	32	t∫	t∫	PROPN
ejpam-6118	68	33	t0	t0	PROPN
ejpam-6118	68	34	∂	∂	NUM
ejpam-6118	69	1	∂s	∂s	PROPN
ejpam-6118	69	2	(	(	PUNCT
ejpam-6118	69	3	k(t	k(t	PROPN
ejpam-6118	69	4	,	,	PUNCT
ejpam-6118	69	5	s)z2(s	s)z2(s	PROPN
ejpam-6118	69	6	)	)	PUNCT
ejpam-6118	69	7	λ2(s	λ2(s	NOUN
ejpam-6118	69	8	)	)	PUNCT
ejpam-6118	69	9	)	)	PUNCT
ejpam-6118	70	1	e	e	X
ejpam-6118	70	2	1	1	NUM
ejpam-6118	70	3	ε	ε	PROPN
ejpam-6118	70	4	s∫	s∫	PROPN
ejpam-6118	70	5	t0	t0	PROPN
ejpam-6118	70	6	λ2(θ)dθ	λ2(θ)dθ	X
ejpam-6118	70	7	ds	ds	X
ejpam-6118	70	8	,	,	PUNCT
ejpam-6118	70	9	continuing	continue	VERB
ejpam-6118	70	10	this	this	DET
ejpam-6118	70	11	process	process	NOUN
ejpam-6118	70	12	further	far	ADV
ejpam-6118	70	13	,	,	PUNCT
ejpam-6118	70	14	we	we	PRON
ejpam-6118	70	15	will	will	AUX
ejpam-6118	70	16	have	have	VERB
ejpam-6118	70	17	j2(t	j2(t	PROPN
ejpam-6118	70	18	,	,	PUNCT
ejpam-6118	70	19	ε	ε	PROPN
ejpam-6118	70	20	)	)	PUNCT
ejpam-6118	70	21	=	=	PUNCT
ejpam-6118	71	1	∞∑	∞∑	NUM
ejpam-6118	71	2	ν=0	ν=0	PRON
ejpam-6118	71	3	εν+1	εν+1	VERB
ejpam-6118	71	4	(iν2	(iν2	PROPN
ejpam-6118	71	5	(	(	PUNCT
ejpam-6118	71	6	k(t	k(t	PROPN
ejpam-6118	71	7	,	,	PUNCT
ejpam-6118	71	8	s)z2(s)))s	s)z2(s)))s	X
ejpam-6118	71	9	=	=	SYM
ejpam-6118	71	10	te	te	PROPN
ejpam-6118	71	11	1	1	NUM
ejpam-6118	71	12	ε	ε	PROPN
ejpam-6118	71	13	t∫	t∫	PROPN
ejpam-6118	71	14	t0	t0	PROPN
ejpam-6118	71	15	λ2(θ)dθ	λ2(θ)dθ	X
ejpam-6118	71	16	−	−	X
ejpam-6118	71	17	(	(	PUNCT
ejpam-6118	71	18	iν2	iν2	PROPN
ejpam-6118	71	19	(	(	PUNCT
ejpam-6118	71	20	k(t	k(t	PROPN
ejpam-6118	71	21	,	,	PUNCT
ejpam-6118	71	22	s)z2(s)))s	s)z2(s)))s	X
ejpam-6118	71	23	=	=	SYM
ejpam-6118	71	24	t0	t0	NUM
ejpam-6118	71	25			NOUN
ejpam-6118	71	26	,	,	PUNCT
ejpam-6118	71	27	where	where	SCONJ
ejpam-6118	71	28	i02	i02	NOUN
ejpam-6118	71	29	=	=	SYM
ejpam-6118	71	30	1	1	NUM
ejpam-6118	71	31	λ2(s	λ2(s	NOUN
ejpam-6118	71	32	)	)	PUNCT
ejpam-6118	71	33	·	·	PUNCT
ejpam-6118	71	34	,	,	PUNCT
ejpam-6118	71	35	iν2	iν2	VERB
ejpam-6118	71	36	=	=	SYM
ejpam-6118	71	37	1	1	NUM
ejpam-6118	71	38	λ2(s	λ2(s	NOUN
ejpam-6118	71	39	)	)	PUNCT
ejpam-6118	71	40	∂	∂	NOUN
ejpam-6118	71	41	∂s	∂s	PROPN
ejpam-6118	71	42	iν−1	iν−1	PROPN
ejpam-6118	71	43	2	2	NUM
ejpam-6118	71	44	,	,	PUNCT
ejpam-6118	71	45	ν	ν	X
ejpam-6118	71	46	≥	≥	NOUN
ejpam-6118	71	47	1	1	NUM
ejpam-6118	71	48	.	.	PUNCT
ejpam-6118	72	1	hence	hence	ADV
ejpam-6118	72	2	,	,	PUNCT
ejpam-6118	72	3	the	the	DET
ejpam-6118	72	4	image	image	NOUN
ejpam-6118	72	5	of	of	ADP
ejpam-6118	72	6	the	the	DET
ejpam-6118	72	7	operator	operator	NOUN
ejpam-6118	72	8	j	j	PROPN
ejpam-6118	72	9	on	on	ADP
ejpam-6118	72	10	an	an	DET
ejpam-6118	72	11	element	element	NOUN
ejpam-6118	72	12	(	(	PUNCT
ejpam-6118	72	13	2.3	2.3	NUM
ejpam-6118	72	14	)	)	PUNCT
ejpam-6118	72	15	of	of	ADP
ejpam-6118	72	16	the	the	DET
ejpam-6118	72	17	space	space	NOUN
ejpam-6118	72	18	u	u	NOUN
ejpam-6118	72	19	can	can	AUX
ejpam-6118	72	20	be	be	AUX
ejpam-6118	72	21	represented	represent	VERB
ejpam-6118	72	22	as	as	ADP
ejpam-6118	72	23	a	a	DET
ejpam-6118	72	24	series	series	NOUN
ejpam-6118	72	25	jz̃(t	jz̃(t	PROPN
ejpam-6118	72	26	,	,	PUNCT
ejpam-6118	72	27	τ	τ	PROPN
ejpam-6118	72	28	,	,	PUNCT
ejpam-6118	72	29	ε	ε	PROPN
ejpam-6118	72	30	)	)	PUNCT
ejpam-6118	72	31	=	=	SYM
ejpam-6118	73	1	t∫	t∫	PROPN
ejpam-6118	73	2	t0	t0	PROPN
ejpam-6118	73	3	k(t	k(t	PROPN
ejpam-6118	73	4	,	,	PUNCT
ejpam-6118	73	5	s)z0(s)ds+	s)z0(s)ds+	X
ejpam-6118	73	6	+	+	NUM
ejpam-6118	73	7	2∑	2∑	NUM
ejpam-6118	73	8	i=1	i=1	PRON
ejpam-6118	73	9	∞∑	∞∑	NUM
ejpam-6118	73	10	ν=0	ν=0	NOUN
ejpam-6118	73	11	(	(	PUNCT
ejpam-6118	73	12	−1)νεν+1	−1)νεν+1	NOUN
ejpam-6118	74	1	[	[	X
ejpam-6118	74	2	(	(	PUNCT
ejpam-6118	74	3	iνi	iνi	NOUN
ejpam-6118	74	4	(	(	PUNCT
ejpam-6118	74	5	k(t	k(t	PROPN
ejpam-6118	74	6	,	,	PUNCT
ejpam-6118	74	7	s)zi(s)))s	s)zi(s)))s	X
ejpam-6118	74	8	=	=	NOUN
ejpam-6118	74	9	te	te	X
ejpam-6118	74	10	τi	τi	NUM
ejpam-6118	74	11	−	−	PROPN
ejpam-6118	74	12	(	(	PUNCT
ejpam-6118	74	13	iνi	iνi	NOUN
ejpam-6118	74	14	(	(	PUNCT
ejpam-6118	74	15	k(t	k(t	NOUN
ejpam-6118	74	16	,	,	PUNCT
ejpam-6118	74	17	s)zi(s(s)))s	s)zi(s(s)))s	X
ejpam-6118	74	18	=	=	NOUN
ejpam-6118	74	19	t0	t0	NOUN
ejpam-6118	74	20	]	]	PUNCT
ejpam-6118	74	21	.	.	PUNCT
ejpam-6118	75	1	(	(	PUNCT
ejpam-6118	75	2	2.4	2.4	NUM
ejpam-6118	75	3	)	)	PUNCT
ejpam-6118	75	4	a.	a.	NOUN
ejpam-6118	75	5	bobodzhanov	bobodzhanov	PROPN
ejpam-6118	75	6	,	,	PUNCT
ejpam-6118	75	7	b.	b.	PROPN
ejpam-6118	75	8	kalimbetov	kalimbetov	PROPN
ejpam-6118	75	9	,	,	PUNCT
ejpam-6118	75	10	k.	k.	PROPN
ejpam-6118	75	11	turekhanov	turekhanov	PROPN
ejpam-6118	75	12	/	/	SYM
ejpam-6118	75	13	eur	eur	PROPN
ejpam-6118	75	14	.	.	PUNCT
ejpam-6118	76	1	j.	j.	PROPN
ejpam-6118	76	2	pure	pure	PROPN
ejpam-6118	76	3	appl	appl	PROPN
ejpam-6118	76	4	.	.	PROPN
ejpam-6118	76	5	math	math	PROPN
ejpam-6118	76	6	,	,	PUNCT
ejpam-6118	76	7	18	18	NUM
ejpam-6118	76	8	(	(	PUNCT
ejpam-6118	76	9	3	3	NUM
ejpam-6118	76	10	)	)	PUNCT
ejpam-6118	76	11	(	(	PUNCT
ejpam-6118	76	12	2025	2025	NUM
ejpam-6118	76	13	)	)	PUNCT
ejpam-6118	76	14	,	,	PUNCT
ejpam-6118	76	15	6544	6544	NUM
ejpam-6118	76	16	6	6	NUM
ejpam-6118	76	17	of	of	ADP
ejpam-6118	76	18	14	14	NUM
ejpam-6118	76	19	moreover	moreover	ADV
ejpam-6118	76	20	,	,	PUNCT
ejpam-6118	76	21	it	it	PRON
ejpam-6118	76	22	is	be	AUX
ejpam-6118	76	23	easy	easy	ADJ
ejpam-6118	76	24	to	to	PART
ejpam-6118	76	25	show	show	VERB
ejpam-6118	76	26	(	(	PUNCT
ejpam-6118	76	27	see	see	VERB
ejpam-6118	76	28	[	[	X
ejpam-6118	76	29	35	35	NUM
ejpam-6118	76	30	]	]	PUNCT
ejpam-6118	76	31	,	,	PUNCT
ejpam-6118	76	32	pp	pp	PROPN
ejpam-6118	76	33	.	.	PUNCT
ejpam-6118	76	34	291	291	NUM
ejpam-6118	76	35	-	-	SYM
ejpam-6118	76	36	294	294	NUM
ejpam-6118	76	37	)	)	PUNCT
ejpam-6118	76	38	that	that	SCONJ
ejpam-6118	76	39	the	the	DET
ejpam-6118	76	40	series	series	NOUN
ejpam-6118	76	41	on	on	ADP
ejpam-6118	76	42	the	the	DET
ejpam-6118	76	43	right	right	NOUN
ejpam-6118	76	44	in	in	ADP
ejpam-6118	76	45	(	(	PUNCT
ejpam-6118	76	46	2.4	2.4	NUM
ejpam-6118	76	47	)	)	PUNCT
ejpam-6118	76	48	converge	converge	NOUN
ejpam-6118	76	49	for	for	ADP
ejpam-6118	76	50	ε→	ε→	PUNCT
ejpam-6118	76	51	+0	+0	VERB
ejpam-6118	76	52	uniformly	uniformly	ADV
ejpam-6118	76	53	in	in	ADP
ejpam-6118	76	54	t	t	PROPN
ejpam-6118	76	55	∈	∈	PROPN
ejpam-6118	77	1	[	[	X
ejpam-6118	77	2	0	0	NUM
ejpam-6118	77	3	,	,	PUNCT
ejpam-6118	77	4	t	t	NOUN
ejpam-6118	77	5	]	]	PUNCT
ejpam-6118	77	6	to	to	ADP
ejpam-6118	77	7	the	the	DET
ejpam-6118	77	8	corresponding	corresponding	ADJ
ejpam-6118	77	9	integrals	integral	NOUN
ejpam-6118	77	10	on	on	ADP
ejpam-6118	77	11	the	the	DET
ejpam-6118	77	12	left	left	NOUN
ejpam-6118	77	13	.	.	PUNCT
ejpam-6118	78	1	let	let	VERB
ejpam-6118	78	2	us	we	PRON
ejpam-6118	78	3	introduce	introduce	VERB
ejpam-6118	78	4	operators	operator	NOUN
ejpam-6118	78	5	of	of	ADP
ejpam-6118	78	6	order	order	NOUN
ejpam-6118	78	7	rm	rm	NOUN
ejpam-6118	78	8	:	:	PUNCT
ejpam-6118	78	9	u	u	PROPN
ejpam-6118	78	10	→	→	SYM
ejpam-6118	78	11	u	u	X
ejpam-6118	78	12	:	:	PUNCT
ejpam-6118	78	13	r0z(t	r0z(t	PROPN
ejpam-6118	78	14	,	,	PUNCT
ejpam-6118	78	15	τ	τ	X
ejpam-6118	78	16	)	)	PUNCT
ejpam-6118	78	17	=	=	SYM
ejpam-6118	79	1	t∫	t∫	PROPN
ejpam-6118	79	2	t0	t0	PROPN
ejpam-6118	79	3	k(t	k(t	PROPN
ejpam-6118	79	4	,	,	PUNCT
ejpam-6118	79	5	s)z0(s)ds	s)z0(s)ds	PROPN
ejpam-6118	79	6	,	,	PUNCT
ejpam-6118	79	7	(	(	PUNCT
ejpam-6118	79	8	2.50	2.50	NUM
ejpam-6118	79	9	)	)	PUNCT
ejpam-6118	79	10	r1z(t	r1z(t	PROPN
ejpam-6118	79	11	,	,	PUNCT
ejpam-6118	79	12	τ	τ	X
ejpam-6118	79	13	)	)	PUNCT
ejpam-6118	79	14	=	=	PUNCT
ejpam-6118	80	1	2∑	2∑	NUM
ejpam-6118	80	2	i=1	i=1	X
ejpam-6118	81	1	[	[	X
ejpam-6118	81	2	(	(	PUNCT
ejpam-6118	81	3	i0i	i0i	X
ejpam-6118	81	4	(	(	PUNCT
ejpam-6118	81	5	k(t	k(t	NOUN
ejpam-6118	81	6	,	,	PUNCT
ejpam-6118	81	7	s)zi(s	s)zi(s	NOUN
ejpam-6118	81	8	)	)	PUNCT
ejpam-6118	81	9	)	)	PUNCT
ejpam-6118	81	10	)	)	PUNCT
ejpam-6118	82	1	s	s	X
ejpam-6118	82	2	=	=	X
ejpam-6118	82	3	t	t	X
ejpam-6118	82	4	eτi	eτi	NOUN
ejpam-6118	82	5	−	−	PROPN
ejpam-6118	82	6	(	(	PUNCT
ejpam-6118	82	7	i0i	i0i	X
ejpam-6118	82	8	(	(	PUNCT
ejpam-6118	82	9	k(t	k(t	PROPN
ejpam-6118	82	10	,	,	PUNCT
ejpam-6118	82	11	s)zi(s	s)zi(s	NOUN
ejpam-6118	82	12	)	)	PUNCT
ejpam-6118	82	13	)	)	PUNCT
ejpam-6118	82	14	)	)	PUNCT
ejpam-6118	83	1	s	s	X
ejpam-6118	84	1	=	=	X
ejpam-6118	84	2	t0	t0	X
ejpam-6118	84	3	]	]	PUNCT
ejpam-6118	84	4	,	,	PUNCT
ejpam-6118	84	5	(	(	PUNCT
ejpam-6118	84	6	2.51	2.51	NUM
ejpam-6118	84	7	)	)	PUNCT
ejpam-6118	84	8	rν+1z	rν+1z	NOUN
ejpam-6118	84	9	(	(	PUNCT
ejpam-6118	84	10	t	t	PROPN
ejpam-6118	84	11	,	,	PUNCT
ejpam-6118	84	12	τ	τ	X
ejpam-6118	84	13	)	)	PUNCT
ejpam-6118	84	14	=	=	PUNCT
ejpam-6118	85	1	2∑	2∑	NOUN
ejpam-6118	85	2	i=1	i=1	PRON
ejpam-6118	85	3	∞∑	∞∑	NUM
ejpam-6118	85	4	ν=0	ν=0	NOUN
ejpam-6118	85	5	(	(	PUNCT
ejpam-6118	85	6	−1)νεν+1	−1)νεν+1	NOUN
ejpam-6118	85	7	[	[	PUNCT
ejpam-6118	85	8	(	(	PUNCT
ejpam-6118	85	9	iνi	iνi	NOUN
ejpam-6118	85	10	(	(	PUNCT
ejpam-6118	85	11	k(t	k(t	PROPN
ejpam-6118	85	12	,	,	PUNCT
ejpam-6118	85	13	s)zi(s)))s	s)zi(s)))s	X
ejpam-6118	85	14	=	=	SYM
ejpam-6118	85	15	te	te	X
ejpam-6118	85	16	τi−	τi−	PUNCT
ejpam-6118	85	17	−(iνi	−(iνi	PROPN
ejpam-6118	85	18	(	(	PUNCT
ejpam-6118	85	19	k(t	k(t	PROPN
ejpam-6118	85	20	,	,	PUNCT
ejpam-6118	85	21	s)zi(s)))s	s)zi(s)))s	X
ejpam-6118	85	22	=	=	SYM
ejpam-6118	85	23	t0	t0	X
ejpam-6118	85	24	]	]	PUNCT
ejpam-6118	85	25	,	,	PUNCT
ejpam-6118	85	26	ν	ν	X
ejpam-6118	85	27	≥	≥	NOUN
ejpam-6118	85	28	1	1	NUM
ejpam-6118	85	29	.	.	PUNCT
ejpam-6118	86	1	(	(	PUNCT
ejpam-6118	86	2	2.5ν+1	2.5ν+1	NOUN
ejpam-6118	86	3	)	)	PUNCT
ejpam-6118	86	4	now	now	ADV
ejpam-6118	86	5	let	let	VERB
ejpam-6118	86	6	z̃(t	z̃(t	PROPN
ejpam-6118	86	7	,	,	PUNCT
ejpam-6118	86	8	τ	τ	PROPN
ejpam-6118	86	9	,	,	PUNCT
ejpam-6118	86	10	ε	ε	PROPN
ejpam-6118	86	11	)	)	PUNCT
ejpam-6118	86	12	be	be	VERB
ejpam-6118	86	13	an	an	DET
ejpam-6118	86	14	arbitrary	arbitrary	ADJ
ejpam-6118	86	15	continuous	continuous	ADJ
ejpam-6118	86	16	function	function	NOUN
ejpam-6118	86	17	on	on	ADP
ejpam-6118	86	18	(	(	PUNCT
ejpam-6118	86	19	t	t	PROPN
ejpam-6118	86	20	,	,	PUNCT
ejpam-6118	86	21	τ	τ	PROPN
ejpam-6118	86	22	)	)	PUNCT
ejpam-6118	86	23	∈	∈	PROPN
ejpam-6118	87	1	g	g	NOUN
ejpam-6118	87	2	=	=	PUNCT
ejpam-6118	88	1	[	[	X
ejpam-6118	88	2	t0	t0	PROPN
ejpam-6118	88	3	,	,	PUNCT
ejpam-6118	88	4	t	t	PROPN
ejpam-6118	88	5	]	]	X
ejpam-6118	88	6	×	×	NOUN
ejpam-6118	88	7	{	{	PUNCT
ejpam-6118	88	8	τ	τ	PROPN
ejpam-6118	88	9	:	:	PUNCT
ejpam-6118	88	10	reτ1	reτ1	NOUN
ejpam-6118	88	11	<	<	X
ejpam-6118	88	12	0	0	PROPN
ejpam-6118	88	13	,	,	PUNCT
ejpam-6118	88	14	reτ2	reτ2	NOUN
ejpam-6118	88	15	≤	≤	NOUN
ejpam-6118	88	16	0	0	NUM
ejpam-6118	88	17	}	}	PUNCT
ejpam-6118	88	18	,	,	PUNCT
ejpam-6118	88	19	with	with	ADP
ejpam-6118	88	20	asymptotic	asymptotic	ADJ
ejpam-6118	88	21	expansion	expansion	NOUN
ejpam-6118	88	22	z̃(t	z̃(t	PROPN
ejpam-6118	88	23	,	,	PUNCT
ejpam-6118	88	24	τ	τ	PROPN
ejpam-6118	88	25	,	,	PUNCT
ejpam-6118	88	26	ε	ε	PROPN
ejpam-6118	88	27	)	)	PUNCT
ejpam-6118	88	28	=	=	PUNCT
ejpam-6118	89	1	∞∑	∞∑	PRON
ejpam-6118	89	2	k=0	k=0	PROPN
ejpam-6118	89	3	εkzk(t	εkzk(t	PROPN
ejpam-6118	89	4	,	,	PUNCT
ejpam-6118	89	5	τ	τ	PROPN
ejpam-6118	89	6	)	)	PUNCT
ejpam-6118	89	7	,	,	PUNCT
ejpam-6118	89	8	zk(t	zk(t	NOUN
ejpam-6118	89	9	,	,	PUNCT
ejpam-6118	89	10	τ	τ	X
ejpam-6118	89	11	)	)	PUNCT
ejpam-6118	89	12	∈	∈	PROPN
ejpam-6118	89	13	u	u	NOUN
ejpam-6118	89	14	(	(	PUNCT
ejpam-6118	89	15	2.6	2.6	NUM
ejpam-6118	89	16	)	)	PUNCT
ejpam-6118	89	17	converging	converge	VERB
ejpam-6118	89	18	as	as	ADP
ejpam-6118	89	19	ε→	ε→	PUNCT
ejpam-6118	89	20	+0	+0	ADV
ejpam-6118	89	21	(	(	PUNCT
ejpam-6118	89	22	uniformly	uniformly	ADV
ejpam-6118	89	23	in	in	ADP
ejpam-6118	89	24	(	(	PUNCT
ejpam-6118	89	25	t	t	PROPN
ejpam-6118	89	26	,	,	PUNCT
ejpam-6118	89	27	τ	τ	PROPN
ejpam-6118	89	28	)	)	PUNCT
ejpam-6118	89	29	∈	∈	PROPN
ejpam-6118	89	30	g	g	NOUN
ejpam-6118	89	31	)	)	PUNCT
ejpam-6118	89	32	.	.	PUNCT
ejpam-6118	90	1	then	then	ADV
ejpam-6118	90	2	the	the	DET
ejpam-6118	90	3	image	image	NOUN
ejpam-6118	90	4	jz̃	jz̃	X
ejpam-6118	90	5	(	(	PUNCT
ejpam-6118	90	6	t	t	PROPN
ejpam-6118	90	7	,	,	PUNCT
ejpam-6118	90	8	τ	τ	PROPN
ejpam-6118	90	9	,	,	PUNCT
ejpam-6118	90	10	ε	ε	PROPN
ejpam-6118	90	11	)	)	PUNCT
ejpam-6118	90	12	of	of	ADP
ejpam-6118	90	13	this	this	DET
ejpam-6118	90	14	function	function	NOUN
ejpam-6118	90	15	is	be	AUX
ejpam-6118	90	16	decomposed	decompose	VERB
ejpam-6118	90	17	into	into	ADP
ejpam-6118	90	18	an	an	DET
ejpam-6118	90	19	asymptotic	asymptotic	ADJ
ejpam-6118	90	20	series	series	NOUN
ejpam-6118	90	21	jz̃(t	jz̃(t	PROPN
ejpam-6118	90	22	,	,	PUNCT
ejpam-6118	90	23	τ	τ	PROPN
ejpam-6118	90	24	,	,	PUNCT
ejpam-6118	90	25	ε	ε	PROPN
ejpam-6118	90	26	)	)	PUNCT
ejpam-6118	90	27	=	=	PUNCT
ejpam-6118	91	1	∞∑	∞∑	PRON
ejpam-6118	91	2	k=0	k=0	PROPN
ejpam-6118	91	3	εkjzk(t	εkjzk(t	PROPN
ejpam-6118	91	4	,	,	PUNCT
ejpam-6118	91	5	τ	τ	X
ejpam-6118	91	6	)	)	PUNCT
ejpam-6118	91	7	=	=	PUNCT
ejpam-6118	92	1	∞∑	∞∑	NUM
ejpam-6118	92	2	r=0	r=0	PROPN
ejpam-6118	92	3	εr	εr	X
ejpam-6118	92	4	r∑	r∑	X
ejpam-6118	92	5	s=0	s=0	X
ejpam-6118	92	6	rr−szs(t	rr−szs(t	PROPN
ejpam-6118	92	7	,	,	PUNCT
ejpam-6118	92	8	τ)|τ	τ)|τ	NOUN
ejpam-6118	92	9	=	=	PROPN
ejpam-6118	92	10	ψ(t)/ε	ψ(t)/ε	PROPN
ejpam-6118	92	11	.	.	PUNCT
ejpam-6118	93	1	this	this	DET
ejpam-6118	93	2	equality	equality	NOUN
ejpam-6118	93	3	is	be	AUX
ejpam-6118	93	4	the	the	DET
ejpam-6118	93	5	basis	basis	NOUN
ejpam-6118	93	6	for	for	ADP
ejpam-6118	93	7	introducing	introduce	VERB
ejpam-6118	93	8	an	an	DET
ejpam-6118	93	9	extension	extension	NOUN
ejpam-6118	93	10	of	of	ADP
ejpam-6118	93	11	an	an	DET
ejpam-6118	93	12	operator	operator	NOUN
ejpam-6118	93	13	j	j	PROPN
ejpam-6118	93	14	on	on	ADP
ejpam-6118	93	15	series	series	NOUN
ejpam-6118	93	16	of	of	ADP
ejpam-6118	93	17	the	the	DET
ejpam-6118	93	18	form	form	NOUN
ejpam-6118	93	19	(	(	PUNCT
ejpam-6118	93	20	2.6	2.6	NUM
ejpam-6118	93	21	):	):	PUNCT
ejpam-6118	94	1	j̃	j̃	PROPN
ejpam-6118	94	2	z̃	z̃	PROPN
ejpam-6118	94	3	≡	≡	PROPN
ejpam-6118	94	4	j̃	j̃	PROPN
ejpam-6118	94	5	(	(	PUNCT
ejpam-6118	94	6	∞∑	∞∑	PRON
ejpam-6118	94	7	k=0	k=0	PROPN
ejpam-6118	94	8	εkzk(t	εkzk(t	PROPN
ejpam-6118	94	9	,	,	PUNCT
ejpam-6118	94	10	τ	τ	PROPN
ejpam-6118	94	11	)	)	PUNCT
ejpam-6118	94	12	)	)	PUNCT
ejpam-6118	95	1	=	=	PUNCT
ejpam-6118	96	1	∞∑	∞∑	NUM
ejpam-6118	96	2	r=0	r=0	ADJ
ejpam-6118	96	3	εr	εr	NOUN
ejpam-6118	96	4	(	(	PUNCT
ejpam-6118	96	5	r∑	r∑	ADP
ejpam-6118	96	6	k=0	k=0	PROPN
ejpam-6118	96	7	rr−kzk(t	rr−kzk(t	PROPN
ejpam-6118	96	8	,	,	PUNCT
ejpam-6118	96	9	τ	τ	NOUN
ejpam-6118	96	10	)	)	PUNCT
ejpam-6118	96	11	)	)	PUNCT
ejpam-6118	96	12	.	.	PUNCT
ejpam-6118	97	1	(	(	PUNCT
ejpam-6118	97	2	2.7	2.7	NUM
ejpam-6118	97	3	)	)	PUNCT
ejpam-6118	97	4	although	although	SCONJ
ejpam-6118	97	5	the	the	DET
ejpam-6118	97	6	operator	operator	NOUN
ejpam-6118	97	7	j̃	j̃	PROPN
ejpam-6118	97	8	is	be	AUX
ejpam-6118	97	9	formally	formally	ADV
ejpam-6118	97	10	defined	define	VERB
ejpam-6118	97	11	,	,	PUNCT
ejpam-6118	97	12	its	its	PRON
ejpam-6118	97	13	utility	utility	NOUN
ejpam-6118	97	14	is	be	AUX
ejpam-6118	97	15	obvious	obvious	ADJ
ejpam-6118	97	16	,	,	PUNCT
ejpam-6118	97	17	since	since	SCONJ
ejpam-6118	97	18	in	in	ADP
ejpam-6118	97	19	practice	practice	NOUN
ejpam-6118	97	20	it	it	PRON
ejpam-6118	97	21	is	be	AUX
ejpam-6118	97	22	usual	usual	ADJ
ejpam-6118	97	23	to	to	PART
ejpam-6118	97	24	construct	construct	VERB
ejpam-6118	97	25	the	the	DET
ejpam-6118	97	26	n	n	PRON
ejpam-6118	97	27	-th	-th	NOUN
ejpam-6118	97	28	approximation	approximation	NOUN
ejpam-6118	97	29	of	of	ADP
ejpam-6118	97	30	the	the	DET
ejpam-6118	97	31	asymptotic	asymptotic	ADJ
ejpam-6118	97	32	solution	solution	NOUN
ejpam-6118	97	33	of	of	ADP
ejpam-6118	97	34	the	the	DET
ejpam-6118	97	35	problem	problem	NOUN
ejpam-6118	97	36	(	(	PUNCT
ejpam-6118	97	37	2.1	2.1	NUM
ejpam-6118	97	38	)	)	PUNCT
ejpam-6118	97	39	,	,	PUNCT
ejpam-6118	97	40	in	in	ADP
ejpam-6118	97	41	which	which	PRON
ejpam-6118	97	42	impose	impose	VERB
ejpam-6118	97	43	only	only	ADV
ejpam-6118	97	44	n	n	PRON
ejpam-6118	97	45	-th	-th	ADJ
ejpam-6118	97	46	partial	partial	ADJ
ejpam-6118	97	47	sums	sum	NOUN
ejpam-6118	97	48	of	of	ADP
ejpam-6118	97	49	the	the	DET
ejpam-6118	97	50	series	series	NOUN
ejpam-6118	97	51	(	(	PUNCT
ejpam-6118	97	52	2.6	2.6	NUM
ejpam-6118	97	53	)	)	PUNCT
ejpam-6118	97	54	,	,	PUNCT
ejpam-6118	97	55	which	which	PRON
ejpam-6118	97	56	have	have	VERB
ejpam-6118	97	57	not	not	PART
ejpam-6118	97	58	a	a	DET
ejpam-6118	97	59	formal	formal	NOUN
ejpam-6118	97	60	,	,	PUNCT
ejpam-6118	97	61	but	but	CCONJ
ejpam-6118	97	62	a	a	DET
ejpam-6118	97	63	true	true	ADJ
ejpam-6118	97	64	meaning	meaning	NOUN
ejpam-6118	97	65	.	.	PUNCT
ejpam-6118	98	1	now	now	ADV
ejpam-6118	98	2	you	you	PRON
ejpam-6118	98	3	can	can	AUX
ejpam-6118	98	4	write	write	VERB
ejpam-6118	98	5	a	a	DET
ejpam-6118	98	6	problem	problem	NOUN
ejpam-6118	98	7	that	that	PRON
ejpam-6118	98	8	is	be	AUX
ejpam-6118	98	9	completely	completely	ADV
ejpam-6118	98	10	regularized	regularize	VERB
ejpam-6118	98	11	with	with	ADP
ejpam-6118	98	12	respect	respect	NOUN
ejpam-6118	98	13	to	to	ADP
ejpam-6118	98	14	the	the	DET
ejpam-6118	98	15	original	original	ADJ
ejpam-6118	98	16	problem	problem	NOUN
ejpam-6118	98	17	(	(	PUNCT
ejpam-6118	98	18	2.1	2.1	NUM
ejpam-6118	98	19	):	):	PUNCT
ejpam-6118	98	20	lεz̃(t	lεz̃(t	PROPN
ejpam-6118	98	21	,	,	PUNCT
ejpam-6118	98	22	τ	τ	PROPN
ejpam-6118	98	23	,	,	PUNCT
ejpam-6118	98	24	σ	σ	PROPN
ejpam-6118	98	25	,	,	PUNCT
ejpam-6118	98	26	ε	ε	PROPN
ejpam-6118	98	27	)	)	PUNCT
ejpam-6118	98	28	≡	≡	PROPN
ejpam-6118	98	29	εt(1−α	εt(1−α	PROPN
ejpam-6118	98	30	)	)	PUNCT
ejpam-6118	98	31	∂z̃∂t	∂z̃∂t	PUNCT
ejpam-6118	99	1	+	+	CCONJ
ejpam-6118	99	2	λ1(t	λ1(t	ADJ
ejpam-6118	99	3	)	)	PUNCT
ejpam-6118	99	4	∂z̃	∂z̃	NOUN
ejpam-6118	99	5	∂τ1	∂τ1	NOUN
ejpam-6118	99	6	+	+	SYM
ejpam-6118	99	7	t(1−α)λ2(t	t(1−α)λ2(t	X
ejpam-6118	99	8	)	)	PUNCT
ejpam-6118	99	9	∂z̃	∂z̃	NOUN
ejpam-6118	99	10	∂τ2	∂τ2	PROPN
ejpam-6118	99	11	−	−	PROPN
ejpam-6118	100	1	λ1(t)z̃	λ1(t)z̃	ADV
ejpam-6118	100	2	−	−	X
ejpam-6118	101	1	j̃	j̃	X
ejpam-6118	101	2	z̃	z̃	PROPN
ejpam-6118	101	3	=	=	PUNCT
ejpam-6118	101	4	=	=	SYM
ejpam-6118	101	5	h1(t	h1(t	X
ejpam-6118	101	6	)	)	PUNCT
ejpam-6118	101	7	+	+	CCONJ
ejpam-6118	101	8	h2(t)e	h2(t)e	X
ejpam-6118	101	9	τ2σ	τ2σ	PROPN
ejpam-6118	101	10	,	,	PUNCT
ejpam-6118	101	11	z̃(t0	z̃(t0	PROPN
ejpam-6118	101	12	,	,	PUNCT
ejpam-6118	101	13	0	0	NUM
ejpam-6118	101	14	,	,	PUNCT
ejpam-6118	101	15	σ	σ	PROPN
ejpam-6118	101	16	,	,	PUNCT
ejpam-6118	101	17	ε	ε	PROPN
ejpam-6118	101	18	)	)	PUNCT
ejpam-6118	101	19	=	=	SYM
ejpam-6118	101	20	z0	z0	PROPN
ejpam-6118	101	21	,	,	PUNCT
ejpam-6118	101	22	t	t	PROPN
ejpam-6118	101	23	∈	∈	PROPN
ejpam-6118	101	24	[	[	X
ejpam-6118	101	25	t0	t0	PROPN
ejpam-6118	101	26	,	,	PUNCT
ejpam-6118	101	27	t	t	X
ejpam-6118	101	28	]	]	PUNCT
ejpam-6118	101	29	,	,	PUNCT
ejpam-6118	101	30	(	(	PUNCT
ejpam-6118	101	31	2.8	2.8	NUM
ejpam-6118	101	32	)	)	PUNCT
ejpam-6118	101	33	where	where	SCONJ
ejpam-6118	101	34	the	the	DET
ejpam-6118	101	35	operator	operator	NOUN
ejpam-6118	101	36	j̃	j̃	PROPN
ejpam-6118	101	37	has	have	VERB
ejpam-6118	101	38	the	the	DET
ejpam-6118	101	39	form	form	NOUN
ejpam-6118	101	40	(	(	PUNCT
ejpam-6118	101	41	2.7	2.7	NUM
ejpam-6118	101	42	)	)	PUNCT
ejpam-6118	101	43	.	.	PUNCT
ejpam-6118	101	44	a.	a.	PROPN
ejpam-6118	101	45	bobodzhanov	bobodzhanov	PROPN
ejpam-6118	101	46	,	,	PUNCT
ejpam-6118	101	47	b.	b.	PROPN
ejpam-6118	101	48	kalimbetov	kalimbetov	PROPN
ejpam-6118	101	49	,	,	PUNCT
ejpam-6118	101	50	k.	k.	PROPN
ejpam-6118	101	51	turekhanov	turekhanov	PROPN
ejpam-6118	101	52	/	/	SYM
ejpam-6118	101	53	eur	eur	PROPN
ejpam-6118	101	54	.	.	PUNCT
ejpam-6118	102	1	j.	j.	PROPN
ejpam-6118	102	2	pure	pure	PROPN
ejpam-6118	102	3	appl	appl	PROPN
ejpam-6118	102	4	.	.	PROPN
ejpam-6118	102	5	math	math	PROPN
ejpam-6118	102	6	,	,	PUNCT
ejpam-6118	102	7	18	18	NUM
ejpam-6118	102	8	(	(	PUNCT
ejpam-6118	102	9	3	3	NUM
ejpam-6118	102	10	)	)	PUNCT
ejpam-6118	102	11	(	(	PUNCT
ejpam-6118	102	12	2025	2025	NUM
ejpam-6118	102	13	)	)	PUNCT
ejpam-6118	102	14	,	,	PUNCT
ejpam-6118	102	15	6544	6544	NUM
ejpam-6118	102	16	7	7	NUM
ejpam-6118	102	17	of	of	ADP
ejpam-6118	102	18	14	14	NUM
ejpam-6118	102	19	3	3	NUM
ejpam-6118	102	20	.	.	PUNCT
ejpam-6118	102	21	iterative	iterative	NOUN
ejpam-6118	102	22	problems	problem	NOUN
ejpam-6118	102	23	and	and	CCONJ
ejpam-6118	102	24	their	their	PRON
ejpam-6118	102	25	solvability	solvability	NOUN
ejpam-6118	102	26	in	in	ADP
ejpam-6118	102	27	the	the	DET
ejpam-6118	102	28	space	space	NOUN
ejpam-6118	102	29	u	u	NOUN
ejpam-6118	102	30	substituting	substitute	VERB
ejpam-6118	102	31	the	the	DET
ejpam-6118	102	32	series	series	NOUN
ejpam-6118	102	33	(	(	PUNCT
ejpam-6118	102	34	2.6	2.6	NUM
ejpam-6118	102	35	)	)	PUNCT
ejpam-6118	102	36	into	into	ADP
ejpam-6118	102	37	(	(	PUNCT
ejpam-6118	102	38	2.8	2.8	NUM
ejpam-6118	102	39	)	)	PUNCT
ejpam-6118	102	40	and	and	CCONJ
ejpam-6118	102	41	equating	equate	VERB
ejpam-6118	102	42	the	the	DET
ejpam-6118	102	43	coefficients	coefficient	NOUN
ejpam-6118	102	44	of	of	ADP
ejpam-6118	102	45	the	the	DET
ejpam-6118	102	46	same	same	ADJ
ejpam-6118	102	47	powers	power	NOUN
ejpam-6118	102	48	of	of	ADP
ejpam-6118	102	49	ε	ε	PROPN
ejpam-6118	102	50	,	,	PUNCT
ejpam-6118	102	51	we	we	PRON
ejpam-6118	102	52	obtain	obtain	VERB
ejpam-6118	102	53	the	the	DET
ejpam-6118	102	54	following	following	ADJ
ejpam-6118	102	55	iterative	iterative	NOUN
ejpam-6118	102	56	problems	problem	NOUN
ejpam-6118	102	57	:	:	PUNCT
ejpam-6118	102	58	lz0(t	lz0(t	PROPN
ejpam-6118	102	59	,	,	PUNCT
ejpam-6118	102	60	τ	τ	PROPN
ejpam-6118	102	61	,	,	PUNCT
ejpam-6118	102	62	σ	σ	PROPN
ejpam-6118	102	63	)	)	PUNCT
ejpam-6118	102	64	≡	≡	PROPN
ejpam-6118	102	65	λ1(t	λ1(t	PROPN
ejpam-6118	102	66	)	)	PUNCT
ejpam-6118	102	67	∂z0	∂z0	ADJ
ejpam-6118	102	68	∂τ1	∂τ1	PROPN
ejpam-6118	102	69	+	+	CCONJ
ejpam-6118	102	70	t(1−α)λ2(t	t(1−α)λ2(t	X
ejpam-6118	102	71	)	)	PUNCT
ejpam-6118	103	1	∂z0	∂z0	PROPN
ejpam-6118	103	2	∂τ2	∂τ2	PROPN
ejpam-6118	103	3	−	−	NOUN
ejpam-6118	103	4	λ1(t)z0	λ1(t)z0	X
ejpam-6118	104	1	−r0z0	−r0z0	PROPN
ejpam-6118	104	2	=	=	PUNCT
ejpam-6118	105	1	=	=	PUNCT
ejpam-6118	105	2	h1(t	h1(t	X
ejpam-6118	105	3	)	)	PUNCT
ejpam-6118	105	4	+	+	CCONJ
ejpam-6118	105	5	h2(t)e	h2(t)e	X
ejpam-6118	105	6	τ2σ	τ2σ	PROPN
ejpam-6118	105	7	,	,	PUNCT
ejpam-6118	105	8	z0(t0	z0(t0	NOUN
ejpam-6118	105	9	,	,	PUNCT
ejpam-6118	105	10	0	0	NUM
ejpam-6118	105	11	)	)	PUNCT
ejpam-6118	105	12	=	=	SYM
ejpam-6118	105	13	z0	z0	PROPN
ejpam-6118	105	14	;	;	PUNCT
ejpam-6118	105	15	(	(	PUNCT
ejpam-6118	105	16	3.10	3.10	NUM
ejpam-6118	105	17	)	)	PUNCT
ejpam-6118	105	18	lz1(t	lz1(t	PROPN
ejpam-6118	105	19	,	,	PUNCT
ejpam-6118	105	20	τ	τ	PROPN
ejpam-6118	105	21	,	,	PUNCT
ejpam-6118	105	22	σ	σ	PROPN
ejpam-6118	105	23	)	)	PUNCT
ejpam-6118	105	24	=	=	SYM
ejpam-6118	105	25	−t(1−α)∂z0	−t(1−α)∂z0	PROPN
ejpam-6118	105	26	∂t	∂t	PROPN
ejpam-6118	106	1	+	+	PROPN
ejpam-6118	106	2	r1z0	r1z0	PROPN
ejpam-6118	106	3	,	,	PUNCT
ejpam-6118	106	4	z1(t0	z1(t0	PROPN
ejpam-6118	106	5	,	,	PUNCT
ejpam-6118	106	6	0	0	NUM
ejpam-6118	106	7	)	)	PUNCT
ejpam-6118	106	8	=	=	SYM
ejpam-6118	106	9	0	0	NUM
ejpam-6118	106	10	;	;	PUNCT
ejpam-6118	106	11	(	(	PUNCT
ejpam-6118	106	12	3.11	3.11	NUM
ejpam-6118	106	13	)	)	PUNCT
ejpam-6118	106	14	lz2(t	lz2(t	PROPN
ejpam-6118	106	15	,	,	PUNCT
ejpam-6118	106	16	τ	τ	PROPN
ejpam-6118	106	17	,	,	PUNCT
ejpam-6118	106	18	σ	σ	PROPN
ejpam-6118	106	19	)	)	PUNCT
ejpam-6118	106	20	=	=	PUNCT
ejpam-6118	107	1	−t(1−α)∂z1	−t(1−α)∂z1	PROPN
ejpam-6118	107	2	∂t	∂t	PROPN
ejpam-6118	108	1	+	+	NOUN
ejpam-6118	108	2	r1z1	r1z1	ADJ
ejpam-6118	108	3	+	+	ADJ
ejpam-6118	108	4	r2z0	r2z0	NOUN
ejpam-6118	108	5	,	,	PUNCT
ejpam-6118	108	6	z2(t0	z2(t0	NOUN
ejpam-6118	108	7	,	,	PUNCT
ejpam-6118	108	8	0	0	NUM
ejpam-6118	108	9	)	)	PUNCT
ejpam-6118	108	10	=	=	SYM
ejpam-6118	108	11	0	0	NUM
ejpam-6118	108	12	;	;	PUNCT
ejpam-6118	108	13	(	(	PUNCT
ejpam-6118	108	14	3.12	3.12	NUM
ejpam-6118	108	15	)	)	PUNCT
ejpam-6118	108	16	............................................................	............................................................	PUNCT
ejpam-6118	109	1	l	l	NOUN
ejpam-6118	109	2	zk(t	zk(t	PROPN
ejpam-6118	109	3	,	,	PUNCT
ejpam-6118	109	4	τ	τ	PROPN
ejpam-6118	109	5	,	,	PUNCT
ejpam-6118	109	6	σ	σ	PROPN
ejpam-6118	109	7	)	)	PUNCT
ejpam-6118	109	8	=	=	SYM
ejpam-6118	109	9	−t(1−α	−t(1−α	X
ejpam-6118	109	10	)	)	PUNCT
ejpam-6118	109	11	∂zk−1	∂zk−1	PROPN
ejpam-6118	109	12	∂t	∂t	PROPN
ejpam-6118	110	1	+	+	NOUN
ejpam-6118	110	2	rkz0	rkz0	NOUN
ejpam-6118	110	3	+	+	X
ejpam-6118	110	4	.	.	PUNCT
ejpam-6118	110	5	.	.	PUNCT
ejpam-6118	111	1	.+	.+	NOUN
ejpam-6118	112	1	+	+	CCONJ
ejpam-6118	112	2	...	...	PUNCT
ejpam-6118	113	1	+	+	NOUN
ejpam-6118	113	2	r1zk−1	r1zk−1	ADJ
ejpam-6118	113	3	,	,	PUNCT
ejpam-6118	113	4	zk(t0	zk(t0	ADJ
ejpam-6118	113	5	,	,	PUNCT
ejpam-6118	113	6	0	0	NUM
ejpam-6118	113	7	)	)	PUNCT
ejpam-6118	113	8	=	=	SYM
ejpam-6118	113	9	0	0	NUM
ejpam-6118	113	10	,	,	PUNCT
ejpam-6118	113	11	k	k	PROPN
ejpam-6118	113	12	≥	≥	NUM
ejpam-6118	113	13	1	1	NUM
ejpam-6118	113	14	.	.	PUNCT
ejpam-6118	113	15	(	(	PUNCT
ejpam-6118	113	16	3.1k	3.1k	NUM
ejpam-6118	113	17	)	)	PUNCT
ejpam-6118	113	18	each	each	DET
ejpam-6118	113	19	iterative	iterative	NOUN
ejpam-6118	113	20	problem	problem	NOUN
ejpam-6118	113	21	(	(	PUNCT
ejpam-6118	113	22	3.1k	3.1k	NUM
ejpam-6118	113	23	)	)	PUNCT
ejpam-6118	113	24	has	have	VERB
ejpam-6118	113	25	the	the	DET
ejpam-6118	113	26	form	form	NOUN
ejpam-6118	113	27	lz(t	lz(t	PROPN
ejpam-6118	113	28	,	,	PUNCT
ejpam-6118	113	29	τ	τ	PROPN
ejpam-6118	113	30	,	,	PUNCT
ejpam-6118	113	31	σ	σ	PROPN
ejpam-6118	113	32	)	)	PUNCT
ejpam-6118	113	33	≡	≡	PROPN
ejpam-6118	113	34	λ1(t	λ1(t	PROPN
ejpam-6118	113	35	)	)	PUNCT
ejpam-6118	113	36	∂z	∂z	PROPN
ejpam-6118	113	37	∂τ1	∂τ1	PROPN
ejpam-6118	113	38	+	+	NUM
ejpam-6118	113	39	t(1−α)λ2(t	t(1−α)λ2(t	X
ejpam-6118	113	40	)	)	PUNCT
ejpam-6118	114	1	∂z	∂z	PROPN
ejpam-6118	115	1	∂τ2	∂τ2	PROPN
ejpam-6118	115	2	−	−	PROPN
ejpam-6118	116	1	λ1(t)z	λ1(t)z	NOUN
ejpam-6118	116	2	−r0z	−r0z	X
ejpam-6118	116	3	=	=	SYM
ejpam-6118	116	4	=	=	SYM
ejpam-6118	116	5	h(t	h(t	PROPN
ejpam-6118	116	6	,	,	PUNCT
ejpam-6118	116	7	τ	τ	PROPN
ejpam-6118	116	8	,	,	PUNCT
ejpam-6118	116	9	σ	σ	PROPN
ejpam-6118	116	10	)	)	PUNCT
ejpam-6118	116	11	,	,	PUNCT
ejpam-6118	116	12	z(t0	z(t0	NOUN
ejpam-6118	116	13	,	,	PUNCT
ejpam-6118	116	14	0	0	NUM
ejpam-6118	116	15	)	)	PUNCT
ejpam-6118	116	16	=	=	SYM
ejpam-6118	116	17	z∗	z∗	NOUN
ejpam-6118	116	18	,	,	PUNCT
ejpam-6118	116	19	(	(	PUNCT
ejpam-6118	116	20	3.2	3.2	NUM
ejpam-6118	116	21	)	)	PUNCT
ejpam-6118	116	22	where	where	SCONJ
ejpam-6118	116	23	h(t	h(t	PROPN
ejpam-6118	116	24	,	,	PUNCT
ejpam-6118	116	25	τ	τ	PROPN
ejpam-6118	116	26	,	,	PUNCT
ejpam-6118	116	27	σ	σ	PROPN
ejpam-6118	116	28	)	)	PUNCT
ejpam-6118	116	29	=	=	SYM
ejpam-6118	116	30	h0(t	h0(t	PROPN
ejpam-6118	116	31	,	,	PUNCT
ejpam-6118	116	32	σ	σ	PROPN
ejpam-6118	116	33	)	)	PUNCT
ejpam-6118	117	1	+	+	NUM
ejpam-6118	117	2	3∑	3∑	NUM
ejpam-6118	117	3	i=1	i=1	NOUN
ejpam-6118	117	4	hi(t	hi(t	NOUN
ejpam-6118	117	5	,	,	PUNCT
ejpam-6118	117	6	σ)e	σ)e	SCONJ
ejpam-6118	117	7	τi	τi	PROPN
ejpam-6118	117	8	is	be	AUX
ejpam-6118	117	9	the	the	DET
ejpam-6118	117	10	known	know	VERB
ejpam-6118	117	11	function	function	NOUN
ejpam-6118	117	12	of	of	ADP
ejpam-6118	117	13	space	space	NOUN
ejpam-6118	117	14	u	u	NOUN
ejpam-6118	117	15	,	,	PUNCT
ejpam-6118	117	16	y∗	y∗	ADV
ejpam-6118	117	17	is	be	AUX
ejpam-6118	117	18	the	the	DET
ejpam-6118	117	19	known	know	VERB
ejpam-6118	117	20	function	function	NOUN
ejpam-6118	117	21	of	of	ADP
ejpam-6118	117	22	the	the	DET
ejpam-6118	117	23	complex	complex	ADJ
ejpam-6118	117	24	space	space	NOUN
ejpam-6118	117	25	c	c	NOUN
ejpam-6118	117	26	,	,	PUNCT
ejpam-6118	117	27	and	and	CCONJ
ejpam-6118	117	28	the	the	DET
ejpam-6118	117	29	operator	operator	NOUN
ejpam-6118	117	30	r0	r0	NOUN
ejpam-6118	117	31	has	have	VERB
ejpam-6118	117	32	the	the	DET
ejpam-6118	117	33	form	form	NOUN
ejpam-6118	117	34	(	(	PUNCT
ejpam-6118	117	35	see	see	VERB
ejpam-6118	117	36	(	(	PUNCT
ejpam-6118	117	37	2.50	2.50	NUM
ejpam-6118	117	38	)	)	PUNCT
ejpam-6118	117	39	)	)	PUNCT
ejpam-6118	118	1	r0z	r0z	PROPN
ejpam-6118	118	2	≡	≡	PROPN
ejpam-6118	118	3	r0	r0	NOUN
ejpam-6118	118	4			PROPN
ejpam-6118	118	5	z0(t	z0(t	PROPN
ejpam-6118	118	6	)	)	PUNCT
ejpam-6118	118	7	+	+	NUM
ejpam-6118	118	8	2∑	2∑	NUM
ejpam-6118	118	9	j=1	j=1	NOUN
ejpam-6118	118	10	zj(t)e	zj(t)e	PROPN
ejpam-6118	118	11	τj+	τj+	NOUN
ejpam-6118	118	12			PROPN
ejpam-6118	118	13	≜	≜	NOUN
ejpam-6118	118	14	t∫	t∫	PROPN
ejpam-6118	118	15	t0	t0	PROPN
ejpam-6118	118	16	k(t	k(t	PROPN
ejpam-6118	118	17	,	,	PUNCT
ejpam-6118	118	18	s)z0(s)ds	s)z0(s)ds	ADV
ejpam-6118	118	19	.	.	PUNCT
ejpam-6118	119	1	we	we	PRON
ejpam-6118	119	2	introduce	introduce	VERB
ejpam-6118	119	3	scalar	scalar	ADJ
ejpam-6118	119	4	(	(	PUNCT
ejpam-6118	119	5	for	for	ADP
ejpam-6118	119	6	each	each	DET
ejpam-6118	119	7	t	t	NOUN
ejpam-6118	119	8	∈	∈	PROPN
ejpam-6118	119	9	[	[	X
ejpam-6118	119	10	t0	t0	PROPN
ejpam-6118	119	11	,	,	PUNCT
ejpam-6118	119	12	t	t	X
ejpam-6118	119	13	]	]	PUNCT
ejpam-6118	119	14	)	)	PUNCT
ejpam-6118	119	15	product	product	NOUN
ejpam-6118	119	16	in	in	ADP
ejpam-6118	119	17	space	space	NOUN
ejpam-6118	119	18	u	u	NOUN
ejpam-6118	119	19	:	:	PUNCT
ejpam-6118	119	20	⟨u	⟨u	NOUN
ejpam-6118	119	21	,	,	PUNCT
ejpam-6118	119	22	w⟩	w⟩	NOUN
ejpam-6118	119	23	≡	≡	PROPN
ejpam-6118	119	24	〈	〈	PROPN
ejpam-6118	119	25	u0(t	u0(t	PROPN
ejpam-6118	119	26	)	)	PUNCT
ejpam-6118	120	1	+	+	NUM
ejpam-6118	120	2	2∑	2∑	NUM
ejpam-6118	120	3	j=1	j=1	NOUN
ejpam-6118	120	4	uj(t)e	uj(t)e	PUNCT
ejpam-6118	120	5	τj	τj	ADP
ejpam-6118	120	6	,	,	PUNCT
ejpam-6118	120	7	w0(t	w0(t	PROPN
ejpam-6118	120	8	)	)	PUNCT
ejpam-6118	120	9	+	+	NUM
ejpam-6118	120	10	2∑	2∑	NUM
ejpam-6118	120	11	j=1	j=1	NOUN
ejpam-6118	120	12	wj(t)e	wj(t)e	PUNCT
ejpam-6118	120	13	τj	τj	ADP
ejpam-6118	120	14	〉	〉	NOUN
ejpam-6118	120	15	≡	≡	PROPN
ejpam-6118	120	16	2∑	2∑	NUM
ejpam-6118	120	17	j=0	j=0	PROPN
ejpam-6118	120	18	(	(	PUNCT
ejpam-6118	120	19	uj(t	uj(t	PROPN
ejpam-6118	120	20	)	)	PUNCT
ejpam-6118	120	21	,	,	PUNCT
ejpam-6118	120	22	wj(t	wj(t	PROPN
ejpam-6118	120	23	)	)	PUNCT
ejpam-6118	120	24	)	)	PUNCT
ejpam-6118	120	25	where	where	SCONJ
ejpam-6118	120	26	we	we	PRON
ejpam-6118	120	27	denote	denote	VERB
ejpam-6118	120	28	by	by	ADP
ejpam-6118	120	29	(	(	PUNCT
ejpam-6118	120	30	∗	∗	NOUN
ejpam-6118	120	31	,	,	PUNCT
ejpam-6118	120	32	∗	∗	NOUN
ejpam-6118	120	33	)	)	PUNCT
ejpam-6118	120	34	the	the	DET
ejpam-6118	120	35	usual	usual	ADJ
ejpam-6118	120	36	scalar	scalar	ADJ
ejpam-6118	120	37	product	product	NOUN
ejpam-6118	120	38	in	in	ADP
ejpam-6118	120	39	the	the	DET
ejpam-6118	120	40	complex	complex	ADJ
ejpam-6118	120	41	space	space	NOUN
ejpam-6118	120	42	c	c	NOUN
ejpam-6118	120	43	:	:	PUNCT
ejpam-6118	120	44	(	(	PUNCT
ejpam-6118	120	45	u	u	NOUN
ejpam-6118	120	46	,	,	PUNCT
ejpam-6118	120	47	v	v	NOUN
ejpam-6118	120	48	)	)	PUNCT
ejpam-6118	120	49	=	=	SYM
ejpam-6118	120	50	u	u	PROPN
ejpam-6118	120	51	·	·	PUNCT
ejpam-6118	120	52	v̄.	v̄.	ADV
ejpam-6118	120	53	let	let	VERB
ejpam-6118	120	54	us	we	PRON
ejpam-6118	120	55	prove	prove	VERB
ejpam-6118	120	56	the	the	DET
ejpam-6118	120	57	following	follow	VERB
ejpam-6118	120	58	statement	statement	NOUN
ejpam-6118	120	59	.	.	PUNCT
ejpam-6118	121	1	theorem	theorem	NOUN
ejpam-6118	121	2	1	1	NUM
ejpam-6118	121	3	.	.	PUNCT
ejpam-6118	122	1	let	let	VERB
ejpam-6118	122	2	conditions	condition	NOUN
ejpam-6118	122	3	(	(	PUNCT
ejpam-6118	122	4	i	i	NOUN
ejpam-6118	122	5	)	)	PUNCT
ejpam-6118	122	6	,	,	PUNCT
ejpam-6118	122	7	(	(	PUNCT
ejpam-6118	122	8	ii	ii	NOUN
ejpam-6118	122	9	)	)	PUNCT
ejpam-6118	122	10	be	be	AUX
ejpam-6118	122	11	fulfilled	fulfil	VERB
ejpam-6118	122	12	and	and	CCONJ
ejpam-6118	122	13	the	the	DET
ejpam-6118	122	14	right	right	ADJ
ejpam-6118	122	15	-	-	PUNCT
ejpam-6118	122	16	hand	hand	NOUN
ejpam-6118	122	17	side	side	NOUN
ejpam-6118	122	18	h(t	h(t	PROPN
ejpam-6118	122	19	,	,	PUNCT
ejpam-6118	122	20	τ	τ	PROPN
ejpam-6118	122	21	,	,	PUNCT
ejpam-6118	122	22	σ	σ	PROPN
ejpam-6118	122	23	)	)	PUNCT
ejpam-6118	122	24	=	=	PUNCT
ejpam-6118	123	1	=	=	SYM
ejpam-6118	123	2	h0(t	h0(t	PROPN
ejpam-6118	123	3	,	,	PUNCT
ejpam-6118	123	4	σ	σ	PROPN
ejpam-6118	123	5	)	)	PUNCT
ejpam-6118	123	6	+	+	NUM
ejpam-6118	124	1	2∑	2∑	NUM
ejpam-6118	124	2	j=1	j=1	NOUN
ejpam-6118	124	3	hj(t	hj(t	PROPN
ejpam-6118	124	4	,	,	PUNCT
ejpam-6118	124	5	σ)e	σ)e	ADV
ejpam-6118	124	6	τj	τj	ADP
ejpam-6118	124	7	of	of	ADP
ejpam-6118	124	8	equation	equation	NOUN
ejpam-6118	124	9	(	(	PUNCT
ejpam-6118	124	10	3.2	3.2	NUM
ejpam-6118	124	11	)	)	PUNCT
ejpam-6118	124	12	belongs	belong	VERB
ejpam-6118	124	13	to	to	ADP
ejpam-6118	124	14	the	the	DET
ejpam-6118	124	15	space	space	NOUN
ejpam-6118	124	16	u	u	NOUN
ejpam-6118	124	17	.	.	PUNCT
ejpam-6118	125	1	then	then	ADV
ejpam-6118	125	2	the	the	DET
ejpam-6118	125	3	equation	equation	NOUN
ejpam-6118	125	4	(	(	PUNCT
ejpam-6118	125	5	3.2	3.2	NUM
ejpam-6118	125	6	)	)	PUNCT
ejpam-6118	125	7	is	be	AUX
ejpam-6118	125	8	solvable	solvable	ADJ
ejpam-6118	125	9	in	in	ADP
ejpam-6118	125	10	u	u	NOUN
ejpam-6118	125	11	,	,	PUNCT
ejpam-6118	125	12	if	if	SCONJ
ejpam-6118	125	13	and	and	CCONJ
ejpam-6118	125	14	only	only	ADV
ejpam-6118	125	15	if	if	SCONJ
ejpam-6118	125	16	⟨h(t	⟨h(t	NUM
ejpam-6118	125	17	,	,	PUNCT
ejpam-6118	125	18	τ	τ	PROPN
ejpam-6118	125	19	)	)	PUNCT
ejpam-6118	125	20	,	,	PUNCT
ejpam-6118	125	21	eτ1⟩	eτ1⟩	PROPN
ejpam-6118	125	22	≡	≡	PROPN
ejpam-6118	125	23	0	0	PUNCT
ejpam-6118	126	1	∀t	∀t	PROPN
ejpam-6118	126	2	∈	∈	PROPN
ejpam-6118	126	3	[	[	X
ejpam-6118	126	4	t0	t0	PROPN
ejpam-6118	126	5	,	,	PUNCT
ejpam-6118	126	6	t	t	X
ejpam-6118	126	7	]	]	PUNCT
ejpam-6118	126	8	.	.	PUNCT
ejpam-6118	127	1	(	(	PUNCT
ejpam-6118	127	2	3.3	3.3	NUM
ejpam-6118	127	3	)	)	PUNCT
ejpam-6118	127	4	a.	a.	NOUN
ejpam-6118	127	5	bobodzhanov	bobodzhanov	PROPN
ejpam-6118	127	6	,	,	PUNCT
ejpam-6118	127	7	b.	b.	PROPN
ejpam-6118	127	8	kalimbetov	kalimbetov	PROPN
ejpam-6118	127	9	,	,	PUNCT
ejpam-6118	127	10	k.	k.	PROPN
ejpam-6118	127	11	turekhanov	turekhanov	PROPN
ejpam-6118	127	12	/	/	SYM
ejpam-6118	127	13	eur	eur	PROPN
ejpam-6118	127	14	.	.	PUNCT
ejpam-6118	128	1	j.	j.	PROPN
ejpam-6118	128	2	pure	pure	PROPN
ejpam-6118	128	3	appl	appl	PROPN
ejpam-6118	128	4	.	.	PROPN
ejpam-6118	128	5	math	math	PROPN
ejpam-6118	128	6	,	,	PUNCT
ejpam-6118	128	7	18	18	NUM
ejpam-6118	128	8	(	(	PUNCT
ejpam-6118	128	9	3	3	NUM
ejpam-6118	128	10	)	)	PUNCT
ejpam-6118	128	11	(	(	PUNCT
ejpam-6118	128	12	2025	2025	NUM
ejpam-6118	128	13	)	)	PUNCT
ejpam-6118	128	14	,	,	PUNCT
ejpam-6118	128	15	6544	6544	NUM
ejpam-6118	128	16	8	8	NUM
ejpam-6118	128	17	of	of	ADP
ejpam-6118	128	18	14	14	NUM
ejpam-6118	128	19	proof	proof	NOUN
ejpam-6118	128	20	.	.	PUNCT
ejpam-6118	129	1	we	we	PRON
ejpam-6118	129	2	will	will	AUX
ejpam-6118	129	3	determine	determine	VERB
ejpam-6118	129	4	the	the	DET
ejpam-6118	129	5	solution	solution	NOUN
ejpam-6118	129	6	of	of	ADP
ejpam-6118	129	7	equation	equation	NOUN
ejpam-6118	129	8	(	(	PUNCT
ejpam-6118	129	9	3.2	3.2	NUM
ejpam-6118	129	10	)	)	PUNCT
ejpam-6118	129	11	as	as	ADP
ejpam-6118	129	12	an	an	DET
ejpam-6118	129	13	element	element	NOUN
ejpam-6118	129	14	(	(	PUNCT
ejpam-6118	129	15	2.4	2.4	NUM
ejpam-6118	129	16	)	)	PUNCT
ejpam-6118	129	17	of	of	ADP
ejpam-6118	129	18	the	the	DET
ejpam-6118	129	19	space	space	NOUN
ejpam-6118	129	20	u	u	NOUN
ejpam-6118	129	21	:	:	PUNCT
ejpam-6118	129	22	z(t	z(t	PROPN
ejpam-6118	129	23	,	,	PUNCT
ejpam-6118	129	24	τ	τ	PROPN
ejpam-6118	129	25	,	,	PUNCT
ejpam-6118	129	26	σ	σ	PROPN
ejpam-6118	129	27	)	)	PUNCT
ejpam-6118	129	28	=	=	SYM
ejpam-6118	129	29	z0(t	z0(t	PROPN
ejpam-6118	129	30	,	,	PUNCT
ejpam-6118	129	31	σ	σ	PROPN
ejpam-6118	129	32	)	)	PUNCT
ejpam-6118	129	33	+	+	NUM
ejpam-6118	130	1	2∑	2∑	NUM
ejpam-6118	130	2	j=1	j=1	PROPN
ejpam-6118	130	3	zj(t	zj(t	PROPN
ejpam-6118	130	4	,	,	PUNCT
ejpam-6118	130	5	σ)e	σ)e	ADV
ejpam-6118	130	6	τj	τj	ADP
ejpam-6118	130	7	.	.	PUNCT
ejpam-6118	131	1	(	(	PUNCT
ejpam-6118	131	2	3.4	3.4	NUM
ejpam-6118	131	3	)	)	PUNCT
ejpam-6118	131	4	substituting	substitute	VERB
ejpam-6118	131	5	(	(	PUNCT
ejpam-6118	131	6	3.4	3.4	NUM
ejpam-6118	131	7	)	)	PUNCT
ejpam-6118	131	8	into	into	ADP
ejpam-6118	131	9	equation	equation	NOUN
ejpam-6118	131	10	(	(	PUNCT
ejpam-6118	131	11	3.2	3.2	NUM
ejpam-6118	131	12	)	)	PUNCT
ejpam-6118	131	13	,	,	PUNCT
ejpam-6118	131	14	and	and	CCONJ
ejpam-6118	131	15	equating	equate	VERB
ejpam-6118	131	16	here	here	ADV
ejpam-6118	131	17	the	the	DET
ejpam-6118	131	18	free	free	ADJ
ejpam-6118	131	19	terms	term	NOUN
ejpam-6118	131	20	and	and	CCONJ
ejpam-6118	131	21	coefficients	coefficient	NOUN
ejpam-6118	131	22	separately	separately	ADV
ejpam-6118	131	23	for	for	ADP
ejpam-6118	131	24	identical	identical	ADJ
ejpam-6118	131	25	exponents	exponent	NOUN
ejpam-6118	131	26	,	,	PUNCT
ejpam-6118	131	27	we	we	PRON
ejpam-6118	131	28	obtain	obtain	VERB
ejpam-6118	131	29	the	the	DET
ejpam-6118	131	30	following	follow	VERB
ejpam-6118	131	31	equations	equation	NOUN
ejpam-6118	131	32	of	of	ADP
ejpam-6118	131	33	equations	equation	NOUN
ejpam-6118	131	34	:	:	PUNCT
ejpam-6118	132	1	λ1(t)z0(t	λ1(t)z0(t	X
ejpam-6118	132	2	,	,	PUNCT
ejpam-6118	132	3	σ)−	σ)−	PROPN
ejpam-6118	132	4	t∫	t∫	PROPN
ejpam-6118	132	5	t0	t0	PROPN
ejpam-6118	132	6	k(t	k(t	PROPN
ejpam-6118	132	7	,	,	PUNCT
ejpam-6118	132	8	s)z0(s	s)z0(s	PROPN
ejpam-6118	132	9	,	,	PUNCT
ejpam-6118	132	10	σ)ds	σ)ds	PROPN
ejpam-6118	132	11	=	=	SYM
ejpam-6118	132	12	h0(t	h0(t	PROPN
ejpam-6118	132	13	,	,	PUNCT
ejpam-6118	132	14	σ	σ	PROPN
ejpam-6118	132	15	)	)	PUNCT
ejpam-6118	132	16	,	,	PUNCT
ejpam-6118	132	17	(	(	PUNCT
ejpam-6118	132	18	3.5	3.5	NUM
ejpam-6118	132	19	)	)	PUNCT
ejpam-6118	132	20	0	0	NUM
ejpam-6118	132	21	·	·	PUNCT
ejpam-6118	133	1	z1(t	z1(t	NUM
ejpam-6118	133	2	,	,	PUNCT
ejpam-6118	133	3	σ	σ	PROPN
ejpam-6118	133	4	)	)	PUNCT
ejpam-6118	133	5	=	=	SYM
ejpam-6118	133	6	h1(t	h1(t	PROPN
ejpam-6118	133	7	,	,	PUNCT
ejpam-6118	133	8	σ	σ	PROPN
ejpam-6118	133	9	)	)	PUNCT
ejpam-6118	133	10	,	,	PUNCT
ejpam-6118	133	11	(	(	PUNCT
ejpam-6118	133	12	3.51	3.51	NUM
ejpam-6118	133	13	)	)	PUNCT
ejpam-6118	133	14	[	[	PUNCT
ejpam-6118	133	15	t(1−α)λ2(t)−	t(1−α)λ2(t)−	PROPN
ejpam-6118	133	16	λ1(t	λ1(t	PROPN
ejpam-6118	133	17	)	)	PUNCT
ejpam-6118	133	18	]	]	PUNCT
ejpam-6118	134	1	z2(t	z2(t	PROPN
ejpam-6118	134	2	,	,	PUNCT
ejpam-6118	134	3	σ	σ	PROPN
ejpam-6118	134	4	)	)	PUNCT
ejpam-6118	134	5	=	=	SYM
ejpam-6118	134	6	h2(t	h2(t	PROPN
ejpam-6118	134	7	,	,	PUNCT
ejpam-6118	134	8	σ	σ	PROPN
ejpam-6118	134	9	)	)	PUNCT
ejpam-6118	134	10	.	.	PUNCT
ejpam-6118	135	1	(	(	PUNCT
ejpam-6118	135	2	3.52	3.52	NUM
ejpam-6118	135	3	)	)	PUNCT
ejpam-6118	135	4	since	since	SCONJ
ejpam-6118	135	5	the	the	DET
ejpam-6118	135	6	λ1(t	λ1(t	PROPN
ejpam-6118	135	7	)	)	PUNCT
ejpam-6118	135	8	̸=	̸=	PROPN
ejpam-6118	135	9	0	0	NUM
ejpam-6118	135	10	,	,	PUNCT
ejpam-6118	135	11	the	the	DET
ejpam-6118	135	12	equation	equation	NOUN
ejpam-6118	135	13	(	(	PUNCT
ejpam-6118	135	14	3.5	3.5	NUM
ejpam-6118	135	15	)	)	PUNCT
ejpam-6118	135	16	can	can	AUX
ejpam-6118	135	17	be	be	AUX
ejpam-6118	135	18	written	write	VERB
ejpam-6118	135	19	as	as	ADP
ejpam-6118	135	20	z0(t	z0(t	PROPN
ejpam-6118	135	21	,	,	PUNCT
ejpam-6118	135	22	σ	σ	PROPN
ejpam-6118	135	23	)	)	PUNCT
ejpam-6118	135	24	=	=	SYM
ejpam-6118	136	1	t∫	t∫	PROPN
ejpam-6118	136	2	t0	t0	PROPN
ejpam-6118	136	3	(	(	PUNCT
ejpam-6118	136	4	−λ−1	−λ−1	NUM
ejpam-6118	136	5	1	1	NUM
ejpam-6118	136	6	(	(	PUNCT
ejpam-6118	136	7	t)k(t	t)k(t	NOUN
ejpam-6118	136	8	,	,	PUNCT
ejpam-6118	136	9	s	s	NOUN
ejpam-6118	136	10	)	)	PUNCT
ejpam-6118	136	11	)	)	PUNCT
ejpam-6118	137	1	z0(s	z0(s	NUM
ejpam-6118	137	2	,	,	PUNCT
ejpam-6118	137	3	σ)ds−	σ)ds−	PROPN
ejpam-6118	137	4	λ−1	λ−1	PROPN
ejpam-6118	137	5	1	1	NUM
ejpam-6118	137	6	(	(	PUNCT
ejpam-6118	137	7	t)h0(t	t)h0(t	PROPN
ejpam-6118	137	8	,	,	PUNCT
ejpam-6118	137	9	σ	σ	PROPN
ejpam-6118	137	10	)	)	PUNCT
ejpam-6118	137	11	.	.	PUNCT
ejpam-6118	138	1	(	(	PUNCT
ejpam-6118	138	2	3.50	3.50	NUM
ejpam-6118	138	3	)	)	PUNCT
ejpam-6118	138	4	due	due	ADP
ejpam-6118	138	5	to	to	ADP
ejpam-6118	138	6	the	the	DET
ejpam-6118	138	7	smoothness	smoothness	NOUN
ejpam-6118	138	8	of	of	ADP
ejpam-6118	138	9	the	the	DET
ejpam-6118	138	10	kernel	kernel	NOUN
ejpam-6118	138	11	(	(	PUNCT
ejpam-6118	138	12	−λ−1	−λ−1	NUM
ejpam-6118	138	13	1	1	NUM
ejpam-6118	138	14	(	(	PUNCT
ejpam-6118	138	15	t)k(t	t)k(t	NOUN
ejpam-6118	138	16	,	,	PUNCT
ejpam-6118	138	17	s	s	NOUN
ejpam-6118	138	18	)	)	PUNCT
ejpam-6118	138	19	)	)	PUNCT
ejpam-6118	138	20	and	and	CCONJ
ejpam-6118	138	21	heterogeneity	heterogeneity	NOUN
ejpam-6118	138	22	−λ−1	−λ−1	NUM
ejpam-6118	138	23	1	1	NUM
ejpam-6118	138	24	(	(	PUNCT
ejpam-6118	138	25	t)h0(t	t)h0(t	PROPN
ejpam-6118	138	26	,	,	PUNCT
ejpam-6118	138	27	σ	σ	PROPN
ejpam-6118	138	28	)	)	PUNCT
ejpam-6118	138	29	,	,	PUNCT
ejpam-6118	138	30	this	this	DET
ejpam-6118	138	31	volterra	volterra	NOUN
ejpam-6118	138	32	integral	integral	ADJ
ejpam-6118	138	33	equation	equation	NOUN
ejpam-6118	138	34	has	have	VERB
ejpam-6118	138	35	a	a	DET
ejpam-6118	138	36	unique	unique	ADJ
ejpam-6118	138	37	solution	solution	NOUN
ejpam-6118	138	38	z0(t	z0(t	PROPN
ejpam-6118	138	39	,	,	PUNCT
ejpam-6118	138	40	σ	σ	PROPN
ejpam-6118	138	41	)	)	PUNCT
ejpam-6118	138	42	∈	∈	PROPN
ejpam-6118	138	43	c∞	c∞	PROPN
ejpam-6118	138	44	(	(	PUNCT
ejpam-6118	138	45	[	[	X
ejpam-6118	138	46	t0	t0	X
ejpam-6118	138	47	,	,	PUNCT
ejpam-6118	138	48	t	t	X
ejpam-6118	138	49	]	]	PUNCT
ejpam-6118	138	50	,	,	PUNCT
ejpam-6118	138	51	c	c	NOUN
ejpam-6118	138	52	)	)	PUNCT
ejpam-6118	138	53	.	.	PUNCT
ejpam-6118	139	1	the	the	DET
ejpam-6118	139	2	equation	equation	NOUN
ejpam-6118	139	3	(	(	PUNCT
ejpam-6118	139	4	3.52	3.52	NUM
ejpam-6118	139	5	)	)	PUNCT
ejpam-6118	139	6	also	also	ADV
ejpam-6118	139	7	have	have	VERB
ejpam-6118	139	8	unique	unique	ADJ
ejpam-6118	139	9	solutions	solution	NOUN
ejpam-6118	139	10	z2(t	z2(t	PROPN
ejpam-6118	139	11	,	,	PUNCT
ejpam-6118	139	12	σ	σ	PROPN
ejpam-6118	139	13	)	)	PUNCT
ejpam-6118	139	14	=	=	PUNCT
ejpam-6118	140	1	[	[	PUNCT
ejpam-6118	140	2	t(1−α)λ2(t)−	t(1−α)λ2(t)−	X
ejpam-6118	140	3	λ1(t	λ1(t	PROPN
ejpam-6118	140	4	)	)	PUNCT
ejpam-6118	140	5	]	]	X
ejpam-6118	140	6	−1	−1	NOUN
ejpam-6118	140	7	h2(t	h2(t	PROPN
ejpam-6118	140	8	,	,	PUNCT
ejpam-6118	140	9	σ	σ	NOUN
ejpam-6118	140	10	)	)	PUNCT
ejpam-6118	140	11	∈	∈	PROPN
ejpam-6118	140	12	c∞	c∞	PROPN
ejpam-6118	140	13	(	(	PUNCT
ejpam-6118	140	14	[	[	X
ejpam-6118	140	15	t0	t0	X
ejpam-6118	140	16	,	,	PUNCT
ejpam-6118	140	17	t	t	X
ejpam-6118	140	18	]	]	PUNCT
ejpam-6118	140	19	,	,	PUNCT
ejpam-6118	140	20	c	c	X
ejpam-6118	140	21	)	)	PUNCT
ejpam-6118	140	22	,	,	PUNCT
ejpam-6118	140	23	(	(	PUNCT
ejpam-6118	140	24	3.6	3.6	NUM
ejpam-6118	140	25	)	)	PUNCT
ejpam-6118	140	26	since	since	SCONJ
ejpam-6118	140	27	λ2(t	λ2(t	PROPN
ejpam-6118	140	28	)	)	PUNCT
ejpam-6118	140	29	not	not	PART
ejpam-6118	140	30	equal	equal	ADJ
ejpam-6118	140	31	to	to	ADP
ejpam-6118	140	32	λ1(t	λ1(t	PROPN
ejpam-6118	140	33	)	)	PUNCT
ejpam-6118	140	34	.	.	PUNCT
ejpam-6118	141	1	the	the	DET
ejpam-6118	141	2	equation	equation	NOUN
ejpam-6118	141	3	(	(	PUNCT
ejpam-6118	141	4	3.51	3.51	NUM
ejpam-6118	141	5	)	)	PUNCT
ejpam-6118	141	6	is	be	AUX
ejpam-6118	141	7	solvable	solvable	ADJ
ejpam-6118	141	8	in	in	ADP
ejpam-6118	141	9	space	space	NOUN
ejpam-6118	141	10	c∞	c∞	PROPN
ejpam-6118	141	11	(	(	PUNCT
ejpam-6118	141	12	[	[	X
ejpam-6118	141	13	t0	t0	X
ejpam-6118	141	14	,	,	PUNCT
ejpam-6118	141	15	t	t	X
ejpam-6118	141	16	]	]	PUNCT
ejpam-6118	141	17	,	,	PUNCT
ejpam-6118	141	18	c	c	X
ejpam-6118	141	19	)	)	PUNCT
ejpam-6118	141	20	if	if	SCONJ
ejpam-6118	141	21	and	and	CCONJ
ejpam-6118	141	22	only	only	ADV
ejpam-6118	141	23	(	(	PUNCT
ejpam-6118	141	24	h1(t	h1(t	PROPN
ejpam-6118	141	25	,	,	PUNCT
ejpam-6118	141	26	τ	τ	PROPN
ejpam-6118	141	27	)	)	PUNCT
ejpam-6118	141	28	,	,	PUNCT
ejpam-6118	141	29	e	e	NOUN
ejpam-6118	141	30	τ1	τ1	NOUN
ejpam-6118	141	31	)	)	PUNCT
ejpam-6118	141	32	≡	≡	PROPN
ejpam-6118	141	33	≡	≡	PROPN
ejpam-6118	141	34	0	0	PUNCT
ejpam-6118	142	1	∀t	∀t	PROPN
ejpam-6118	142	2	∈	∈	PROPN
ejpam-6118	142	3	[	[	X
ejpam-6118	142	4	t0	t0	PROPN
ejpam-6118	142	5	,	,	PUNCT
ejpam-6118	142	6	t	t	X
ejpam-6118	142	7	]	]	PUNCT
ejpam-6118	142	8	hold	hold	VERB
ejpam-6118	142	9	.	.	PUNCT
ejpam-6118	143	1	it	it	PRON
ejpam-6118	143	2	is	be	AUX
ejpam-6118	143	3	not	not	PART
ejpam-6118	143	4	difficult	difficult	ADJ
ejpam-6118	143	5	to	to	PART
ejpam-6118	143	6	see	see	VERB
ejpam-6118	143	7	that	that	SCONJ
ejpam-6118	143	8	these	these	DET
ejpam-6118	143	9	identities	identity	NOUN
ejpam-6118	143	10	coincide	coincide	VERB
ejpam-6118	143	11	with	with	ADP
ejpam-6118	143	12	identities	identity	NOUN
ejpam-6118	143	13	(	(	PUNCT
ejpam-6118	143	14	3.3	3.3	NUM
ejpam-6118	143	15	)	)	PUNCT
ejpam-6118	143	16	.	.	PUNCT
ejpam-6118	144	1	thus	thus	ADV
ejpam-6118	144	2	,	,	PUNCT
ejpam-6118	144	3	condition	condition	NOUN
ejpam-6118	144	4	(	(	PUNCT
ejpam-6118	144	5	3.3	3.3	NUM
ejpam-6118	144	6	)	)	PUNCT
ejpam-6118	144	7	is	be	AUX
ejpam-6118	144	8	necessary	necessary	ADJ
ejpam-6118	144	9	and	and	CCONJ
ejpam-6118	144	10	sufficient	sufficient	ADJ
ejpam-6118	144	11	for	for	ADP
ejpam-6118	144	12	the	the	DET
ejpam-6118	144	13	solvability	solvability	NOUN
ejpam-6118	144	14	of	of	ADP
ejpam-6118	144	15	equations	equation	NOUN
ejpam-6118	144	16	(	(	PUNCT
ejpam-6118	144	17	3.2	3.2	NUM
ejpam-6118	144	18	)	)	PUNCT
ejpam-6118	144	19	in	in	ADP
ejpam-6118	144	20	the	the	DET
ejpam-6118	144	21	space	space	NOUN
ejpam-6118	144	22	u	u	NOUN
ejpam-6118	144	23	.	.	PUNCT
ejpam-6118	145	1	the	the	DET
ejpam-6118	145	2	theorem	theorem	NOUN
ejpam-6118	145	3	1	1	NUM
ejpam-6118	145	4	is	be	AUX
ejpam-6118	145	5	proved	prove	VERB
ejpam-6118	145	6	.	.	PUNCT
ejpam-6118	146	1	remark	remark	PROPN
ejpam-6118	146	2	1	1	NUM
ejpam-6118	146	3	.	.	PUNCT
ejpam-6118	147	1	if	if	SCONJ
ejpam-6118	147	2	identity	identity	NOUN
ejpam-6118	147	3	(	(	PUNCT
ejpam-6118	147	4	3.3	3.3	NUM
ejpam-6118	147	5	)	)	PUNCT
ejpam-6118	147	6	holds	hold	VERB
ejpam-6118	147	7	,	,	PUNCT
ejpam-6118	147	8	then	then	ADV
ejpam-6118	147	9	under	under	ADP
ejpam-6118	147	10	conditions	condition	NOUN
ejpam-6118	147	11	(	(	PUNCT
ejpam-6118	147	12	i	i	NOUN
ejpam-6118	147	13	)	)	PUNCT
ejpam-6118	147	14	,	,	PUNCT
ejpam-6118	147	15	(	(	PUNCT
ejpam-6118	147	16	ii	ii	NOUN
ejpam-6118	147	17	)	)	PUNCT
ejpam-6118	147	18	,	,	PUNCT
ejpam-6118	147	19	equation	equation	NOUN
ejpam-6118	147	20	(	(	PUNCT
ejpam-6118	147	21	3.2	3.2	NUM
ejpam-6118	147	22	)	)	PUNCT
ejpam-6118	147	23	has	have	VERB
ejpam-6118	147	24	the	the	DET
ejpam-6118	147	25	following	following	ADJ
ejpam-6118	147	26	solution	solution	NOUN
ejpam-6118	147	27	in	in	ADP
ejpam-6118	147	28	the	the	DET
ejpam-6118	147	29	space	space	NOUN
ejpam-6118	147	30	u	u	NOUN
ejpam-6118	147	31	:	:	PUNCT
ejpam-6118	147	32	z(t	z(t	PROPN
ejpam-6118	147	33	,	,	PUNCT
ejpam-6118	147	34	τ	τ	PROPN
ejpam-6118	147	35	,	,	PUNCT
ejpam-6118	147	36	σ	σ	PROPN
ejpam-6118	147	37	)	)	PUNCT
ejpam-6118	147	38	=	=	SYM
ejpam-6118	147	39	z0(t	z0(t	PROPN
ejpam-6118	147	40	,	,	PUNCT
ejpam-6118	147	41	σ	σ	PROPN
ejpam-6118	147	42	)	)	PUNCT
ejpam-6118	147	43	+	+	NUM
ejpam-6118	147	44	α1(t	α1(t	NUM
ejpam-6118	147	45	,	,	PUNCT
ejpam-6118	147	46	σ)e	σ)e	SCONJ
ejpam-6118	148	1	τ1	τ1	ADP
ejpam-6118	149	1	+	+	CCONJ
ejpam-6118	150	1	[	[	PUNCT
ejpam-6118	150	2	t(1−α)λ2(t)−	t(1−α)λ2(t)−	X
ejpam-6118	150	3	λ1(t	λ1(t	PROPN
ejpam-6118	150	4	)	)	PUNCT
ejpam-6118	150	5	]	]	X
ejpam-6118	150	6	−1	−1	NOUN
ejpam-6118	150	7	h2(t	h2(t	PROPN
ejpam-6118	150	8	,	,	PUNCT
ejpam-6118	150	9	σ)e	σ)e	SCONJ
ejpam-6118	150	10	τ2	τ2	NOUN
ejpam-6118	150	11	,	,	PUNCT
ejpam-6118	150	12	(	(	PUNCT
ejpam-6118	150	13	3.7	3.7	NUM
ejpam-6118	150	14	)	)	PUNCT
ejpam-6118	150	15	where	where	SCONJ
ejpam-6118	150	16	α1(t	α1(t	PROPN
ejpam-6118	150	17	,	,	PUNCT
ejpam-6118	150	18	σ	σ	NOUN
ejpam-6118	150	19	)	)	PUNCT
ejpam-6118	150	20	∈	∈	PROPN
ejpam-6118	150	21	c∞	c∞	PROPN
ejpam-6118	150	22	(	(	PUNCT
ejpam-6118	150	23	[	[	X
ejpam-6118	150	24	t0	t0	X
ejpam-6118	150	25	,	,	PUNCT
ejpam-6118	150	26	t	t	X
ejpam-6118	150	27	]	]	PUNCT
ejpam-6118	150	28	,	,	PUNCT
ejpam-6118	150	29	c	c	X
ejpam-6118	150	30	)	)	PUNCT
ejpam-6118	150	31	is	be	AUX
ejpam-6118	150	32	arbitrary	arbitrary	ADJ
ejpam-6118	150	33	function	function	NOUN
ejpam-6118	150	34	,	,	PUNCT
ejpam-6118	150	35	z0(t	z0(t	PROPN
ejpam-6118	150	36	,	,	PUNCT
ejpam-6118	150	37	σ	σ	PROPN
ejpam-6118	150	38	)	)	PUNCT
ejpam-6118	150	39	is	be	AUX
ejpam-6118	150	40	the	the	DET
ejpam-6118	150	41	solution	solution	NOUN
ejpam-6118	150	42	of	of	ADP
ejpam-6118	150	43	an	an	DET
ejpam-6118	150	44	integral	integral	ADJ
ejpam-6118	150	45	equation	equation	NOUN
ejpam-6118	150	46	(	(	PUNCT
ejpam-6118	150	47	3.50	3.50	NUM
ejpam-6118	150	48	)	)	PUNCT
ejpam-6118	150	49	.	.	PUNCT
ejpam-6118	151	1	a.	a.	PROPN
ejpam-6118	151	2	bobodzhanov	bobodzhanov	PROPN
ejpam-6118	151	3	,	,	PUNCT
ejpam-6118	151	4	b.	b.	PROPN
ejpam-6118	151	5	kalimbetov	kalimbetov	PROPN
ejpam-6118	151	6	,	,	PUNCT
ejpam-6118	151	7	k.	k.	PROPN
ejpam-6118	151	8	turekhanov	turekhanov	PROPN
ejpam-6118	151	9	/	/	SYM
ejpam-6118	151	10	eur	eur	PROPN
ejpam-6118	151	11	.	.	PUNCT
ejpam-6118	152	1	j.	j.	PROPN
ejpam-6118	152	2	pure	pure	PROPN
ejpam-6118	152	3	appl	appl	PROPN
ejpam-6118	152	4	.	.	PROPN
ejpam-6118	152	5	math	math	PROPN
ejpam-6118	152	6	,	,	PUNCT
ejpam-6118	152	7	18	18	NUM
ejpam-6118	152	8	(	(	PUNCT
ejpam-6118	152	9	3	3	NUM
ejpam-6118	152	10	)	)	PUNCT
ejpam-6118	152	11	(	(	PUNCT
ejpam-6118	152	12	2025	2025	NUM
ejpam-6118	152	13	)	)	PUNCT
ejpam-6118	152	14	,	,	PUNCT
ejpam-6118	152	15	6544	6544	NUM
ejpam-6118	152	16	9	9	NUM
ejpam-6118	152	17	of	of	ADP
ejpam-6118	152	18	14	14	NUM
ejpam-6118	152	19	4	4	NUM
ejpam-6118	152	20	.	.	PUNCT
ejpam-6118	153	1	the	the	DET
ejpam-6118	153	2	unique	unique	ADJ
ejpam-6118	153	3	solvability	solvability	NOUN
ejpam-6118	153	4	of	of	ADP
ejpam-6118	153	5	the	the	DET
ejpam-6118	153	6	general	general	ADJ
ejpam-6118	153	7	iterative	iterative	NOUN
ejpam-6118	153	8	problem	problem	NOUN
ejpam-6118	153	9	in	in	ADP
ejpam-6118	153	10	the	the	DET
ejpam-6118	153	11	space	space	NOUN
ejpam-6118	153	12	u	u	NOUN
ejpam-6118	153	13	.	.	PUNCT
ejpam-6118	153	14	residual	residual	ADJ
ejpam-6118	153	15	term	term	NOUN
ejpam-6118	153	16	theorem	theorem	VERB
ejpam-6118	153	17	as	as	SCONJ
ejpam-6118	153	18	can	can	AUX
ejpam-6118	153	19	be	be	AUX
ejpam-6118	153	20	seen	see	VERB
ejpam-6118	153	21	from	from	ADP
ejpam-6118	153	22	(	(	PUNCT
ejpam-6118	153	23	3.7	3.7	NUM
ejpam-6118	153	24	)	)	PUNCT
ejpam-6118	153	25	,	,	PUNCT
ejpam-6118	153	26	the	the	DET
ejpam-6118	153	27	solution	solution	NOUN
ejpam-6118	153	28	to	to	ADP
ejpam-6118	153	29	equation	equation	NOUN
ejpam-6118	153	30	(	(	PUNCT
ejpam-6118	153	31	3.2	3.2	NUM
ejpam-6118	153	32	)	)	PUNCT
ejpam-6118	153	33	is	be	AUX
ejpam-6118	153	34	determined	determine	VERB
ejpam-6118	153	35	ambiguously	ambiguously	ADV
ejpam-6118	153	36	.	.	PUNCT
ejpam-6118	154	1	however	however	ADV
ejpam-6118	154	2	,	,	PUNCT
ejpam-6118	154	3	if	if	SCONJ
ejpam-6118	154	4	it	it	PRON
ejpam-6118	154	5	is	be	AUX
ejpam-6118	154	6	subject	subject	ADJ
ejpam-6118	154	7	to	to	ADP
ejpam-6118	154	8	additional	additional	ADJ
ejpam-6118	154	9	conditions	condition	NOUN
ejpam-6118	154	10	:	:	PUNCT
ejpam-6118	154	11	z(t0	z(t0	NOUN
ejpam-6118	154	12	,	,	PUNCT
ejpam-6118	154	13	0	0	NUM
ejpam-6118	154	14	)	)	PUNCT
ejpam-6118	154	15	=	=	SYM
ejpam-6118	154	16	z∗	z∗	NOUN
ejpam-6118	154	17	,	,	PUNCT
ejpam-6118	154	18	〈	〈	PROPN
ejpam-6118	154	19	−t(1−α	−t(1−α	NOUN
ejpam-6118	154	20	)	)	PUNCT
ejpam-6118	154	21	∂z∂t	∂z∂t	VERB
ejpam-6118	155	1	+	+	ADP
ejpam-6118	155	2	r1z	r1z	PROPN
ejpam-6118	155	3	+	+	ADJ
ejpam-6118	155	4	q(t	q(t	PROPN
ejpam-6118	155	5	,	,	PUNCT
ejpam-6118	155	6	τ	τ	PROPN
ejpam-6118	155	7	,	,	PUNCT
ejpam-6118	155	8	σ	σ	PROPN
ejpam-6118	155	9	)	)	PUNCT
ejpam-6118	155	10	,	,	PUNCT
ejpam-6118	155	11	eτ1	eτ1	NOUN
ejpam-6118	155	12	〉	〉	NOUN
ejpam-6118	155	13	≡	≡	PROPN
ejpam-6118	155	14	0	0	PUNCT
ejpam-6118	156	1	∀t	∀t	PROPN
ejpam-6118	156	2	∈	∈	PROPN
ejpam-6118	156	3	[	[	X
ejpam-6118	156	4	t0	t0	PROPN
ejpam-6118	156	5	,	,	PUNCT
ejpam-6118	156	6	t	t	X
ejpam-6118	156	7	]	]	PUNCT
ejpam-6118	156	8	,	,	PUNCT
ejpam-6118	156	9	(	(	PUNCT
ejpam-6118	156	10	4.1	4.1	NUM
ejpam-6118	156	11	)	)	PUNCT
ejpam-6118	156	12	where	where	SCONJ
ejpam-6118	156	13	q(t	q(t	PROPN
ejpam-6118	156	14	,	,	PUNCT
ejpam-6118	156	15	τ	τ	PROPN
ejpam-6118	156	16	,	,	PUNCT
ejpam-6118	156	17	σ	σ	PROPN
ejpam-6118	156	18	)	)	PUNCT
ejpam-6118	156	19	=	=	SYM
ejpam-6118	156	20	q0(t	q0(t	PROPN
ejpam-6118	156	21	,	,	PUNCT
ejpam-6118	156	22	σ	σ	PROPN
ejpam-6118	156	23	)	)	PUNCT
ejpam-6118	156	24	+	+	NUM
ejpam-6118	156	25	2∑	2∑	NUM
ejpam-6118	156	26	j=1	j=1	NOUN
ejpam-6118	156	27	qj(t	qj(t	PROPN
ejpam-6118	156	28	,	,	PUNCT
ejpam-6118	156	29	σ)e	σ)e	ADV
ejpam-6118	156	30	τj	τj	SCONJ
ejpam-6118	156	31	is	be	AUX
ejpam-6118	156	32	the	the	DET
ejpam-6118	156	33	known	know	VERB
ejpam-6118	156	34	function	function	NOUN
ejpam-6118	156	35	of	of	ADP
ejpam-6118	156	36	the	the	DET
ejpam-6118	156	37	space	space	NOUN
ejpam-6118	156	38	u	u	NOUN
ejpam-6118	156	39	,	,	PUNCT
ejpam-6118	156	40	z∗	z∗	PROPN
ejpam-6118	156	41	is	be	AUX
ejpam-6118	156	42	a	a	DET
ejpam-6118	156	43	constant	constant	ADJ
ejpam-6118	156	44	vector	vector	NOUN
ejpam-6118	156	45	of	of	ADP
ejpam-6118	156	46	the	the	DET
ejpam-6118	156	47	complex	complex	ADJ
ejpam-6118	156	48	space	space	NOUN
ejpam-6118	156	49	c	c	NOUN
ejpam-6118	156	50	,	,	PUNCT
ejpam-6118	156	51	then	then	ADV
ejpam-6118	156	52	problem	problem	NOUN
ejpam-6118	156	53	(	(	PUNCT
ejpam-6118	156	54	3.2	3.2	NUM
ejpam-6118	156	55	)	)	PUNCT
ejpam-6118	156	56	will	will	AUX
ejpam-6118	156	57	be	be	AUX
ejpam-6118	156	58	uniquely	uniquely	ADV
ejpam-6118	156	59	solvable	solvable	ADJ
ejpam-6118	156	60	in	in	ADP
ejpam-6118	156	61	the	the	DET
ejpam-6118	156	62	space	space	NOUN
ejpam-6118	156	63	u.	u.	NOUN
ejpam-6118	156	64	more	more	ADV
ejpam-6118	156	65	precisely	precisely	ADV
ejpam-6118	156	66	,	,	PUNCT
ejpam-6118	156	67	the	the	DET
ejpam-6118	156	68	following	follow	VERB
ejpam-6118	156	69	result	result	NOUN
ejpam-6118	156	70	holds	hold	VERB
ejpam-6118	156	71	.	.	PUNCT
ejpam-6118	157	1	theorem	theorem	NOUN
ejpam-6118	157	2	2	2	NUM
ejpam-6118	157	3	.	.	PUNCT
ejpam-6118	158	1	let	let	VERB
ejpam-6118	158	2	conditions	condition	NOUN
ejpam-6118	158	3	(	(	PUNCT
ejpam-6118	158	4	i	i	NOUN
ejpam-6118	158	5	)	)	PUNCT
ejpam-6118	158	6	,	,	PUNCT
ejpam-6118	158	7	(	(	PUNCT
ejpam-6118	158	8	ii	ii	NOUN
ejpam-6118	158	9	)	)	PUNCT
ejpam-6118	158	10	be	be	AUX
ejpam-6118	158	11	satisfied	satisfied	ADJ
ejpam-6118	158	12	,	,	PUNCT
ejpam-6118	158	13	the	the	DET
ejpam-6118	158	14	right	right	ADJ
ejpam-6118	158	15	-	-	PUNCT
ejpam-6118	158	16	hand	hand	NOUN
ejpam-6118	158	17	side	side	NOUN
ejpam-6118	158	18	h(t	h(t	PROPN
ejpam-6118	158	19	,	,	PUNCT
ejpam-6118	158	20	τ	τ	PROPN
ejpam-6118	158	21	,	,	PUNCT
ejpam-6118	158	22	σ	σ	PROPN
ejpam-6118	158	23	)	)	PUNCT
ejpam-6118	158	24	of	of	ADP
ejpam-6118	158	25	the	the	DET
ejpam-6118	158	26	equation	equation	NOUN
ejpam-6118	158	27	(	(	PUNCT
ejpam-6118	158	28	3.2	3.2	NUM
ejpam-6118	158	29	)	)	PUNCT
ejpam-6118	158	30	belongs	belong	VERB
ejpam-6118	158	31	to	to	ADP
ejpam-6118	158	32	the	the	DET
ejpam-6118	158	33	space	space	NOUN
ejpam-6118	158	34	u	u	NOUN
ejpam-6118	158	35	and	and	CCONJ
ejpam-6118	158	36	satisfies	satisfy	VERB
ejpam-6118	158	37	the	the	DET
ejpam-6118	158	38	orthogonality	orthogonality	NOUN
ejpam-6118	158	39	condition	condition	NOUN
ejpam-6118	158	40	(	(	PUNCT
ejpam-6118	158	41	3.3	3.3	NUM
ejpam-6118	158	42	)	)	PUNCT
ejpam-6118	158	43	.	.	PUNCT
ejpam-6118	159	1	then	then	ADV
ejpam-6118	159	2	equation	equation	NOUN
ejpam-6118	159	3	(	(	PUNCT
ejpam-6118	159	4	3.2	3.2	NUM
ejpam-6118	159	5	)	)	PUNCT
ejpam-6118	159	6	under	under	ADP
ejpam-6118	159	7	additional	additional	ADJ
ejpam-6118	159	8	conditions	condition	NOUN
ejpam-6118	159	9	(	(	PUNCT
ejpam-6118	159	10	4.1	4.1	NUM
ejpam-6118	159	11	)	)	PUNCT
ejpam-6118	159	12	is	be	AUX
ejpam-6118	159	13	uniquely	uniquely	ADV
ejpam-6118	159	14	solvable	solvable	ADJ
ejpam-6118	159	15	in	in	ADP
ejpam-6118	159	16	u.	u.	NOUN
ejpam-6118	159	17	proof	proof	NOUN
ejpam-6118	159	18	.	.	PUNCT
ejpam-6118	160	1	under	under	ADP
ejpam-6118	160	2	condition	condition	NOUN
ejpam-6118	160	3	(	(	PUNCT
ejpam-6118	160	4	3.3	3.3	NUM
ejpam-6118	160	5	)	)	PUNCT
ejpam-6118	160	6	,	,	PUNCT
ejpam-6118	160	7	the	the	DET
ejpam-6118	160	8	equation	equation	NOUN
ejpam-6118	160	9	(	(	PUNCT
ejpam-6118	160	10	3.2	3.2	NUM
ejpam-6118	160	11	)	)	PUNCT
ejpam-6118	160	12	has	have	VERB
ejpam-6118	160	13	a	a	DET
ejpam-6118	160	14	solution	solution	NOUN
ejpam-6118	160	15	(	(	PUNCT
ejpam-6118	160	16	3.7	3.7	NUM
ejpam-6118	160	17	)	)	PUNCT
ejpam-6118	160	18	in	in	ADP
ejpam-6118	160	19	the	the	DET
ejpam-6118	160	20	space	space	NOUN
ejpam-6118	160	21	u	u	NOUN
ejpam-6118	160	22	,	,	PUNCT
ejpam-6118	160	23	where	where	SCONJ
ejpam-6118	160	24	the	the	DET
ejpam-6118	160	25	function	function	NOUN
ejpam-6118	160	26	α1(t	α1(t	PROPN
ejpam-6118	160	27	,	,	PUNCT
ejpam-6118	160	28	σ	σ	NOUN
ejpam-6118	160	29	)	)	PUNCT
ejpam-6118	160	30	∈	∈	PROPN
ejpam-6118	160	31	c∞	c∞	PROPN
ejpam-6118	160	32	(	(	PUNCT
ejpam-6118	160	33	[	[	X
ejpam-6118	160	34	t0	t0	X
ejpam-6118	160	35	,	,	PUNCT
ejpam-6118	160	36	t	t	X
ejpam-6118	160	37	]	]	PUNCT
ejpam-6118	160	38	,	,	PUNCT
ejpam-6118	160	39	c	c	PROPN
ejpam-6118	160	40	)	)	PUNCT
ejpam-6118	160	41	,	,	PUNCT
ejpam-6118	160	42	are	be	AUX
ejpam-6118	160	43	still	still	ADV
ejpam-6118	160	44	arbitrary	arbitrary	ADJ
ejpam-6118	160	45	.	.	PUNCT
ejpam-6118	161	1	subordinate	subordinate	PROPN
ejpam-6118	161	2	(	(	PUNCT
ejpam-6118	161	3	3.7	3.7	NUM
ejpam-6118	161	4	)	)	PUNCT
ejpam-6118	161	5	to	to	ADP
ejpam-6118	161	6	the	the	DET
ejpam-6118	161	7	first	first	ADJ
ejpam-6118	161	8	condition	condition	NOUN
ejpam-6118	161	9	(	(	PUNCT
ejpam-6118	161	10	4.1	4.1	NUM
ejpam-6118	161	11	)	)	PUNCT
ejpam-6118	161	12	,	,	PUNCT
ejpam-6118	161	13	i.e.	i.e.	X
ejpam-6118	161	14	z(t0	z(t0	NOUN
ejpam-6118	161	15	,	,	PUNCT
ejpam-6118	161	16	0	0	NUM
ejpam-6118	161	17	)	)	PUNCT
ejpam-6118	161	18	=	=	SYM
ejpam-6118	161	19	z∗.	z∗.	NOUN
ejpam-6118	161	20	we	we	PRON
ejpam-6118	161	21	obtain	obtain	VERB
ejpam-6118	161	22	α1(t0	α1(t0	NUM
ejpam-6118	161	23	,	,	PUNCT
ejpam-6118	161	24	σ	σ	NOUN
ejpam-6118	161	25	)	)	PUNCT
ejpam-6118	161	26	=	=	SYM
ejpam-6118	161	27	z∗	z∗	NOUN
ejpam-6118	161	28	,	,	PUNCT
ejpam-6118	161	29	(	(	PUNCT
ejpam-6118	161	30	4.2	4.2	NUM
ejpam-6118	161	31	)	)	PUNCT
ejpam-6118	161	32	where	where	SCONJ
ejpam-6118	161	33	is	be	AUX
ejpam-6118	161	34	denoted	denote	VERB
ejpam-6118	161	35	:	:	PUNCT
ejpam-6118	161	36	z∗	z∗	NOUN
ejpam-6118	161	37	=	=	SYM
ejpam-6118	161	38	z∗	z∗	PROPN
ejpam-6118	162	1	+	+	CCONJ
ejpam-6118	162	2	λ−1	λ−1	PROPN
ejpam-6118	162	3	1	1	NUM
ejpam-6118	162	4	(	(	PUNCT
ejpam-6118	162	5	t0)h0(t0	t0)h0(t0	NOUN
ejpam-6118	162	6	,	,	PUNCT
ejpam-6118	162	7	σ)−	σ)−	PROPN
ejpam-6118	162	8	α1(t0	α1(t0	NOUN
ejpam-6118	162	9	,	,	PUNCT
ejpam-6118	162	10	σ)−	σ)−	PROPN
ejpam-6118	162	11	[	[	PUNCT
ejpam-6118	162	12	t0	t0	PROPN
ejpam-6118	162	13	(	(	PUNCT
ejpam-6118	162	14	1−α)λ2(t0)−	1−α)λ2(t0)−	NOUN
ejpam-6118	162	15	λ1(t0	λ1(t0	NUM
ejpam-6118	162	16	)	)	PUNCT
ejpam-6118	162	17	]	]	X
ejpam-6118	162	18	−1	−1	NOUN
ejpam-6118	162	19	h2(t0	h2(t0	NOUN
ejpam-6118	162	20	,	,	PUNCT
ejpam-6118	162	21	σ	σ	PROPN
ejpam-6118	162	22	)	)	PUNCT
ejpam-6118	162	23	.	.	PUNCT
ejpam-6118	163	1	let	let	VERB
ejpam-6118	163	2	us	we	PRON
ejpam-6118	163	3	now	now	ADV
ejpam-6118	163	4	subject	subject	ADJ
ejpam-6118	163	5	solution	solution	NOUN
ejpam-6118	163	6	(	(	PUNCT
ejpam-6118	163	7	3.7	3.7	NUM
ejpam-6118	163	8	)	)	PUNCT
ejpam-6118	163	9	to	to	ADP
ejpam-6118	163	10	the	the	DET
ejpam-6118	163	11	second	second	ADJ
ejpam-6118	163	12	condition	condition	NOUN
ejpam-6118	163	13	(	(	PUNCT
ejpam-6118	163	14	4.1	4.1	NUM
ejpam-6118	163	15	)	)	PUNCT
ejpam-6118	163	16	.	.	PUNCT
ejpam-6118	164	1	the	the	DET
ejpam-6118	164	2	right	right	ADJ
ejpam-6118	164	3	side	side	NOUN
ejpam-6118	164	4	of	of	ADP
ejpam-6118	164	5	this	this	DET
ejpam-6118	164	6	equation	equation	NOUN
ejpam-6118	164	7	:	:	PUNCT
ejpam-6118	164	8	−t(1−α)∂z0	−t(1−α)∂z0	PROPN
ejpam-6118	164	9	∂t	∂t	PROPN
ejpam-6118	165	1	+	+	PROPN
ejpam-6118	165	2	r1z0	r1z0	PROPN
ejpam-6118	165	3	+	+	ADJ
ejpam-6118	165	4	q	q	X
ejpam-6118	165	5	(	(	PUNCT
ejpam-6118	165	6	t	t	PROPN
ejpam-6118	165	7	,	,	PUNCT
ejpam-6118	165	8	τ	τ	PROPN
ejpam-6118	165	9	,	,	PUNCT
ejpam-6118	165	10	σ	σ	PROPN
ejpam-6118	165	11	)	)	PUNCT
ejpam-6118	165	12	=	=	SYM
ejpam-6118	166	1	−	−	PROPN
ejpam-6118	166	2	d	d	X
ejpam-6118	166	3	dt	dt	X
ejpam-6118	166	4	(	(	PUNCT
ejpam-6118	166	5	t(1−α)z0(t	t(1−α)z0(t	PROPN
ejpam-6118	166	6	,	,	PUNCT
ejpam-6118	166	7	σ	σ	PROPN
ejpam-6118	166	8	)	)	PUNCT
ejpam-6118	166	9	)	)	PUNCT
ejpam-6118	167	1	−	−	PROPN
ejpam-6118	168	1	d	d	INTJ
ejpam-6118	168	2	dt	dt	X
ejpam-6118	168	3	(	(	PUNCT
ejpam-6118	168	4	t(1−α)α1(t	t(1−α)α1(t	PROPN
ejpam-6118	168	5	,	,	PUNCT
ejpam-6118	168	6	σ	σ	PROPN
ejpam-6118	168	7	)	)	PUNCT
ejpam-6118	168	8	eτ1−	eτ1−	NOUN
ejpam-6118	169	1	−	−	NOUN
ejpam-6118	169	2	d	d	X
ejpam-6118	169	3	dt	dt	X
ejpam-6118	169	4	(	(	PUNCT
ejpam-6118	169	5	t(1−α)z0(t	t(1−α)z0(t	PROPN
ejpam-6118	169	6	,	,	PUNCT
ejpam-6118	169	7	σ	σ	PROPN
ejpam-6118	169	8	)	)	PUNCT
ejpam-6118	169	9	[	[	PUNCT
ejpam-6118	169	10	t(1−α)λ2(t)−	t(1−α)λ2(t)−	PROPN
ejpam-6118	169	11	λ1(t	λ1(t	PROPN
ejpam-6118	169	12	)	)	PUNCT
ejpam-6118	169	13	]	]	X
ejpam-6118	169	14	−1	−1	NOUN
ejpam-6118	169	15	h2(t	h2(t	PROPN
ejpam-6118	169	16	,	,	PUNCT
ejpam-6118	169	17	σ	σ	PROPN
ejpam-6118	169	18	)	)	PUNCT
ejpam-6118	169	19	)	)	PUNCT
ejpam-6118	170	1	eτ2	eτ2	PROPN
ejpam-6118	171	1	+	+	X
ejpam-6118	172	1	+	+	PUNCT
ejpam-6118	172	2	[	[	PUNCT
ejpam-6118	172	3	k(t	k(t	NOUN
ejpam-6118	172	4	,	,	PUNCT
ejpam-6118	172	5	t)α1(t	t)α1(t	NUM
ejpam-6118	172	6	,	,	PUNCT
ejpam-6118	172	7	σ	σ	NOUN
ejpam-6118	172	8	)	)	PUNCT
ejpam-6118	172	9	t(1−α)λ1(t	t(1−α)λ1(t	PROPN
ejpam-6118	172	10	)	)	PUNCT
ejpam-6118	172	11	eτ1	eτ1	NOUN
ejpam-6118	173	1	−	−	PROPN
ejpam-6118	173	2	k(t	k(t	PROPN
ejpam-6118	173	3	,	,	PUNCT
ejpam-6118	173	4	t0)α1(t0	t0)α1(t0	ADV
ejpam-6118	173	5	,	,	PUNCT
ejpam-6118	173	6	σ	σ	PROPN
ejpam-6118	173	7	)	)	PUNCT
ejpam-6118	173	8	t0(1−α)λ1(t0	t0(1−α)λ1(t0	NUM
ejpam-6118	173	9	)	)	PUNCT
ejpam-6118	173	10	]	]	PUNCT
ejpam-6118	174	1	+	+	CCONJ
ejpam-6118	174	2	(	(	PUNCT
ejpam-6118	174	3	4.3	4.3	NUM
ejpam-6118	174	4	)	)	PUNCT
ejpam-6118	174	5	+	+	CCONJ
ejpam-6118	174	6	k(t	k(t	PROPN
ejpam-6118	174	7	,	,	PUNCT
ejpam-6118	174	8	t0)z2(t	t0)z2(t	NOUN
ejpam-6118	174	9	)	)	PUNCT
ejpam-6118	174	10	λ2(t	λ2(t	PROPN
ejpam-6118	174	11	)	)	PUNCT
ejpam-6118	174	12	eτ2	eτ2	NOUN
ejpam-6118	174	13	−	−	PROPN
ejpam-6118	175	1	k(t	k(t	NOUN
ejpam-6118	175	2	,	,	PUNCT
ejpam-6118	175	3	t)z2(t0	t)z2(t0	PROPN
ejpam-6118	175	4	,	,	PUNCT
ejpam-6118	175	5	σ	σ	PROPN
ejpam-6118	175	6	)	)	PUNCT
ejpam-6118	175	7	λ2(t0	λ2(t0	NOUN
ejpam-6118	175	8	)	)	PUNCT
ejpam-6118	175	9	+	+	NOUN
ejpam-6118	175	10	q(t	q(t	PROPN
ejpam-6118	175	11	,	,	PUNCT
ejpam-6118	175	12	τ	τ	PROPN
ejpam-6118	175	13	,	,	PUNCT
ejpam-6118	175	14	σ	σ	PROPN
ejpam-6118	175	15	)	)	PUNCT
ejpam-6118	175	16	.	.	PUNCT
ejpam-6118	176	1	now	now	ADV
ejpam-6118	176	2	multiplying	multiply	VERB
ejpam-6118	176	3	(	(	PUNCT
ejpam-6118	176	4	4.3	4.3	NUM
ejpam-6118	176	5	)	)	PUNCT
ejpam-6118	176	6	scalarly	scalarly	ADV
ejpam-6118	176	7	by	by	ADP
ejpam-6118	176	8	eτ1	eτ1	NOUN
ejpam-6118	176	9	,	,	PUNCT
ejpam-6118	176	10	we	we	PRON
ejpam-6118	176	11	obtain	obtain	VERB
ejpam-6118	176	12	the	the	DET
ejpam-6118	176	13	system	system	NOUN
ejpam-6118	176	14	of	of	ADP
ejpam-6118	176	15	ordinary	ordinary	ADJ
ejpam-6118	176	16	differential	differential	ADJ
ejpam-6118	176	17	equations	equation	NOUN
ejpam-6118	176	18	−t(1−α)dα1(t	−t(1−α)dα1(t	NUM
ejpam-6118	176	19	,	,	PUNCT
ejpam-6118	176	20	σ	σ	PROPN
ejpam-6118	176	21	)	)	PUNCT
ejpam-6118	176	22	dt	dt	NOUN
ejpam-6118	177	1	+	+	CCONJ
ejpam-6118	177	2	[	[	PUNCT
ejpam-6118	177	3	k(t	k(t	PROPN
ejpam-6118	177	4	,	,	PUNCT
ejpam-6118	177	5	t	t	PROPN
ejpam-6118	177	6	)	)	PUNCT
ejpam-6118	177	7	t(1−α)λ1(t	t(1−α)λ1(t	PROPN
ejpam-6118	177	8	)	)	PUNCT
ejpam-6118	178	1	−	−	PROPN
ejpam-6118	178	2	(	(	PUNCT
ejpam-6118	178	3	1−	1−	NUM
ejpam-6118	178	4	α)t(−α)+	α)t(−α)+	NUM
ejpam-6118	178	5	]	]	PUNCT
ejpam-6118	178	6	α1(t	α1(t	NUM
ejpam-6118	178	7	,	,	PUNCT
ejpam-6118	178	8	σ	σ	NOUN
ejpam-6118	178	9	)	)	PUNCT
ejpam-6118	178	10	=	=	SYM
ejpam-6118	178	11	0	0	NUM
ejpam-6118	178	12	⇔	⇔	PROPN
ejpam-6118	178	13	a.	a.	PROPN
ejpam-6118	178	14	bobodzhanov	bobodzhanov	PROPN
ejpam-6118	178	15	,	,	PUNCT
ejpam-6118	178	16	b.	b.	PROPN
ejpam-6118	178	17	kalimbetov	kalimbetov	PROPN
ejpam-6118	178	18	,	,	PUNCT
ejpam-6118	178	19	k.	k.	PROPN
ejpam-6118	178	20	turekhanov	turekhanov	PROPN
ejpam-6118	178	21	/	/	SYM
ejpam-6118	178	22	eur	eur	PROPN
ejpam-6118	178	23	.	.	PUNCT
ejpam-6118	179	1	j.	j.	PROPN
ejpam-6118	179	2	pure	pure	PROPN
ejpam-6118	179	3	appl	appl	PROPN
ejpam-6118	179	4	.	.	PROPN
ejpam-6118	179	5	math	math	PROPN
ejpam-6118	179	6	,	,	PUNCT
ejpam-6118	179	7	18	18	NUM
ejpam-6118	179	8	(	(	PUNCT
ejpam-6118	179	9	3	3	NUM
ejpam-6118	179	10	)	)	PUNCT
ejpam-6118	179	11	(	(	PUNCT
ejpam-6118	179	12	2025	2025	NUM
ejpam-6118	179	13	)	)	PUNCT
ejpam-6118	179	14	,	,	PUNCT
ejpam-6118	179	15	6544	6544	NUM
ejpam-6118	179	16	10	10	NUM
ejpam-6118	179	17	of	of	ADP
ejpam-6118	179	18	14	14	NUM
ejpam-6118	179	19	⇔	⇔	NUM
ejpam-6118	179	20	t(1−α	t(1−α	PROPN
ejpam-6118	179	21	)	)	PUNCT
ejpam-6118	179	22	dα1(t	dα1(t	PROPN
ejpam-6118	179	23	,	,	PUNCT
ejpam-6118	179	24	σ	σ	NOUN
ejpam-6118	179	25	)	)	PUNCT
ejpam-6118	179	26	dt	dt	NOUN
ejpam-6118	180	1	=	=	PUNCT
ejpam-6118	180	2	[	[	PUNCT
ejpam-6118	180	3	k(t	k(t	PROPN
ejpam-6118	180	4	,	,	PUNCT
ejpam-6118	180	5	t	t	PROPN
ejpam-6118	180	6	)	)	PUNCT
ejpam-6118	180	7	t(1−α)λ1(t	t(1−α)λ1(t	PROPN
ejpam-6118	180	8	)	)	PUNCT
ejpam-6118	181	1	−	−	PROPN
ejpam-6118	181	2	(	(	PUNCT
ejpam-6118	181	3	1−	1−	NUM
ejpam-6118	181	4	α)t(−α	α)t(−α	NUM
ejpam-6118	181	5	)	)	PUNCT
ejpam-6118	181	6	]	]	PUNCT
ejpam-6118	182	1	α1(t	α1(t	X
ejpam-6118	182	2	,	,	PUNCT
ejpam-6118	182	3	σ	σ	NOUN
ejpam-6118	182	4	)	)	PUNCT
ejpam-6118	182	5	.	.	PUNCT
ejpam-6118	183	1	adding	add	VERB
ejpam-6118	183	2	the	the	DET
ejpam-6118	183	3	initial	initial	ADJ
ejpam-6118	183	4	condition	condition	NOUN
ejpam-6118	183	5	(	(	PUNCT
ejpam-6118	183	6	4.2	4.2	NUM
ejpam-6118	183	7	)	)	PUNCT
ejpam-6118	183	8	to	to	ADP
ejpam-6118	183	9	it	it	PRON
ejpam-6118	183	10	,	,	PUNCT
ejpam-6118	183	11	we	we	PRON
ejpam-6118	183	12	can	can	AUX
ejpam-6118	183	13	uniquely	uniquely	ADV
ejpam-6118	183	14	find	find	VERB
ejpam-6118	183	15	the	the	DET
ejpam-6118	183	16	functions	function	NOUN
ejpam-6118	183	17	α1(t	α1(t	X
ejpam-6118	183	18	,	,	PUNCT
ejpam-6118	183	19	σ	σ	NOUN
ejpam-6118	183	20	)	)	PUNCT
ejpam-6118	183	21	,	,	PUNCT
ejpam-6118	183	22	and	and	CCONJ
ejpam-6118	183	23	,	,	PUNCT
ejpam-6118	183	24	hence	hence	ADV
ejpam-6118	183	25	,	,	PUNCT
ejpam-6118	183	26	construct	construct	VERB
ejpam-6118	183	27	a	a	DET
ejpam-6118	183	28	solution	solution	NOUN
ejpam-6118	183	29	(	(	PUNCT
ejpam-6118	183	30	3.7	3.7	NUM
ejpam-6118	183	31	)	)	PUNCT
ejpam-6118	183	32	of	of	ADP
ejpam-6118	183	33	the	the	DET
ejpam-6118	183	34	problem	problem	NOUN
ejpam-6118	183	35	(	(	PUNCT
ejpam-6118	183	36	3.2	3.2	NUM
ejpam-6118	183	37	)	)	PUNCT
ejpam-6118	183	38	in	in	ADP
ejpam-6118	183	39	the	the	DET
ejpam-6118	183	40	space	space	NOUN
ejpam-6118	183	41	u	u	NOUN
ejpam-6118	183	42	in	in	ADP
ejpam-6118	183	43	a	a	DET
ejpam-6118	183	44	unique	unique	ADJ
ejpam-6118	183	45	way	way	NOUN
ejpam-6118	183	46	.	.	PUNCT
ejpam-6118	184	1	the	the	DET
ejpam-6118	184	2	theorem	theorem	ADJ
ejpam-6118	184	3	2	2	NUM
ejpam-6118	184	4	is	be	AUX
ejpam-6118	184	5	proved	prove	VERB
ejpam-6118	184	6	.	.	PUNCT
ejpam-6118	185	1	applying	apply	VERB
ejpam-6118	185	2	theorems	theorem	NOUN
ejpam-6118	185	3	1	1	NUM
ejpam-6118	185	4	and	and	CCONJ
ejpam-6118	185	5	2	2	NUM
ejpam-6118	185	6	to	to	PART
ejpam-6118	185	7	iterative	iterative	VERB
ejpam-6118	185	8	problems	problem	NOUN
ejpam-6118	185	9	(	(	PUNCT
ejpam-6118	185	10	3.1k	3.1k	NUM
ejpam-6118	185	11	)	)	PUNCT
ejpam-6118	185	12	,	,	PUNCT
ejpam-6118	185	13	we	we	PRON
ejpam-6118	185	14	find	find	VERB
ejpam-6118	185	15	uniquely	uniquely	ADV
ejpam-6118	185	16	their	their	PRON
ejpam-6118	185	17	solutions	solution	NOUN
ejpam-6118	185	18	in	in	ADP
ejpam-6118	185	19	the	the	DET
ejpam-6118	185	20	space	space	NOUN
ejpam-6118	185	21	u	u	NOUN
ejpam-6118	185	22	and	and	CCONJ
ejpam-6118	185	23	construct	construct	VERB
ejpam-6118	185	24	series	series	NOUN
ejpam-6118	185	25	(	(	PUNCT
ejpam-6118	185	26	2.6	2.6	NUM
ejpam-6118	185	27	)	)	PUNCT
ejpam-6118	185	28	.	.	PUNCT
ejpam-6118	186	1	just	just	ADV
ejpam-6118	186	2	as	as	SCONJ
ejpam-6118	186	3	in	in	ADP
ejpam-6118	186	4	[	[	X
ejpam-6118	186	5	1	1	NUM
ejpam-6118	186	6	,	,	PUNCT
ejpam-6118	186	7	35	35	NUM
ejpam-6118	186	8	,	,	PUNCT
ejpam-6118	186	9	36	36	NUM
ejpam-6118	186	10	]	]	PUNCT
ejpam-6118	186	11	we	we	PRON
ejpam-6118	186	12	prove	prove	VERB
ejpam-6118	186	13	the	the	DET
ejpam-6118	186	14	following	follow	VERB
ejpam-6118	186	15	statement	statement	NOUN
ejpam-6118	186	16	.	.	PUNCT
ejpam-6118	187	1	theorem	theorem	ADJ
ejpam-6118	187	2	3	3	X
ejpam-6118	187	3	.	.	PUNCT
ejpam-6118	188	1	let	let	VERB
ejpam-6118	188	2	conditions	condition	NOUN
ejpam-6118	188	3	(	(	PUNCT
ejpam-6118	188	4	i	i	NOUN
ejpam-6118	188	5	)	)	PUNCT
ejpam-6118	188	6	,	,	PUNCT
ejpam-6118	188	7	(	(	PUNCT
ejpam-6118	188	8	ii	ii	NOUN
ejpam-6118	188	9	)	)	PUNCT
ejpam-6118	188	10	be	be	AUX
ejpam-6118	188	11	satisfied	satisfied	ADJ
ejpam-6118	188	12	for	for	ADP
ejpam-6118	188	13	the	the	DET
ejpam-6118	188	14	equation	equation	NOUN
ejpam-6118	188	15	(	(	PUNCT
ejpam-6118	188	16	1.2	1.2	NUM
ejpam-6118	188	17	)	)	PUNCT
ejpam-6118	188	18	.	.	PUNCT
ejpam-6118	189	1	then	then	ADV
ejpam-6118	189	2	,	,	PUNCT
ejpam-6118	189	3	for	for	ADP
ejpam-6118	189	4	ε	ε	PROPN
ejpam-6118	189	5	∈	∈	PROPN
ejpam-6118	189	6	(	(	PUNCT
ejpam-6118	189	7	0	0	NUM
ejpam-6118	189	8	,	,	PUNCT
ejpam-6118	189	9	ε0](ε0	ε0](ε0	NOUN
ejpam-6118	189	10	>	>	X
ejpam-6118	189	11	0	0	NUM
ejpam-6118	189	12	is	be	AUX
ejpam-6118	189	13	sufficiently	sufficiently	ADV
ejpam-6118	189	14	small	small	ADJ
ejpam-6118	189	15	)	)	PUNCT
ejpam-6118	189	16	,	,	PUNCT
ejpam-6118	189	17	the	the	DET
ejpam-6118	189	18	equation	equation	NOUN
ejpam-6118	189	19	(	(	PUNCT
ejpam-6118	189	20	1.2	1.2	NUM
ejpam-6118	189	21	)	)	PUNCT
ejpam-6118	189	22	has	have	VERB
ejpam-6118	189	23	a	a	DET
ejpam-6118	189	24	unique	unique	ADJ
ejpam-6118	189	25	solution	solution	NOUN
ejpam-6118	189	26	y(t	y(t	PROPN
ejpam-6118	189	27	,	,	PUNCT
ejpam-6118	189	28	ε	ε	PROPN
ejpam-6118	189	29	)	)	PUNCT
ejpam-6118	189	30	∈	∈	PROPN
ejpam-6118	189	31	∈	∈	PROPN
ejpam-6118	189	32	c1([t0	c1([t0	NOUN
ejpam-6118	189	33	,	,	PUNCT
ejpam-6118	189	34	t	t	X
ejpam-6118	189	35	]	]	PUNCT
ejpam-6118	189	36	,	,	PUNCT
ejpam-6118	189	37	c	c	NOUN
ejpam-6118	189	38	)	)	PUNCT
ejpam-6118	189	39	;	;	PUNCT
ejpam-6118	189	40	in	in	ADP
ejpam-6118	189	41	this	this	DET
ejpam-6118	189	42	case	case	NOUN
ejpam-6118	189	43	,	,	PUNCT
ejpam-6118	189	44	the	the	DET
ejpam-6118	189	45	estimate	estimate	NOUN
ejpam-6118	189	46	||z(t	||z(t	PROPN
ejpam-6118	189	47	,	,	PUNCT
ejpam-6118	189	48	ε)−	ε)−	PROPN
ejpam-6118	189	49	zεn	zεn	NUM
ejpam-6118	189	50	(	(	PUNCT
ejpam-6118	189	51	t)||c[0,t	t)||c[0,t	PROPN
ejpam-6118	189	52	]	]	PUNCT
ejpam-6118	189	53	≤	≤	NUM
ejpam-6118	189	54	cnε	cnε	PROPN
ejpam-6118	189	55	n+1	n+1	PROPN
ejpam-6118	189	56	,	,	PUNCT
ejpam-6118	189	57	n	n	NOUN
ejpam-6118	189	58	=	=	SYM
ejpam-6118	189	59	0	0	NUM
ejpam-6118	189	60	,	,	PUNCT
ejpam-6118	189	61	1	1	NUM
ejpam-6118	189	62	,	,	PUNCT
ejpam-6118	189	63	2	2	NUM
ejpam-6118	189	64	,	,	PUNCT
ejpam-6118	189	65	.	.	PUNCT
ejpam-6118	189	66	.	.	PUNCT
ejpam-6118	189	67	.	.	PUNCT
ejpam-6118	190	1	,	,	PUNCT
ejpam-6118	190	2	holds	hold	VERB
ejpam-6118	190	3	.	.	PUNCT
ejpam-6118	191	1	here	here	ADV
ejpam-6118	191	2	yεn	yεn	PROPN
ejpam-6118	191	3	(	(	PUNCT
ejpam-6118	191	4	t	t	PROPN
ejpam-6118	191	5	)	)	PUNCT
ejpam-6118	191	6	is	be	AUX
ejpam-6118	191	7	the	the	DET
ejpam-6118	191	8	restriction	restriction	NOUN
ejpam-6118	191	9	(	(	PUNCT
ejpam-6118	191	10	at	at	ADP
ejpam-6118	191	11	τ	τ	X
ejpam-6118	191	12	=	=	SYM
ejpam-6118	191	13	ψ(t	ψ(t	PROPN
ejpam-6118	191	14	)	)	PUNCT
ejpam-6118	191	15	ε	ε	PROPN
ejpam-6118	191	16	)	)	PUNCT
ejpam-6118	191	17	of	of	ADP
ejpam-6118	191	18	the	the	DET
ejpam-6118	191	19	n	n	ADV
ejpam-6118	191	20	-	-	PUNCT
ejpam-6118	191	21	th	th	X
ejpam-6118	191	22	partial	partial	ADJ
ejpam-6118	191	23	sum	sum	NOUN
ejpam-6118	191	24	of	of	ADP
ejpam-6118	191	25	the	the	DET
ejpam-6118	191	26	series	series	NOUN
ejpam-6118	191	27	(	(	PUNCT
ejpam-6118	191	28	2.6	2.6	NUM
ejpam-6118	191	29	)	)	PUNCT
ejpam-6118	191	30	(	(	PUNCT
ejpam-6118	191	31	with	with	ADP
ejpam-6118	191	32	coefficients	coefficient	NOUN
ejpam-6118	191	33	zk(t	zk(t	PROPN
ejpam-6118	191	34	,	,	PUNCT
ejpam-6118	191	35	τ	τ	X
ejpam-6118	191	36	)	)	PUNCT
ejpam-6118	191	37	∈	∈	PROPN
ejpam-6118	191	38	u	u	NOUN
ejpam-6118	191	39	,	,	PUNCT
ejpam-6118	191	40	satisfying	satisfy	VERB
ejpam-6118	191	41	the	the	DET
ejpam-6118	191	42	iterative	iterative	NOUN
ejpam-6118	191	43	problems	problem	NOUN
ejpam-6118	191	44	(	(	PUNCT
ejpam-6118	191	45	3.1k	3.1k	NUM
ejpam-6118	191	46	)	)	PUNCT
ejpam-6118	191	47	)	)	PUNCT
ejpam-6118	191	48	,	,	PUNCT
ejpam-6118	191	49	and	and	CCONJ
ejpam-6118	191	50	the	the	DET
ejpam-6118	191	51	constant	constant	ADJ
ejpam-6118	191	52	cn	cn	PROPN
ejpam-6118	191	53	>	>	X
ejpam-6118	191	54	0	0	NUM
ejpam-6118	191	55	does	do	AUX
ejpam-6118	191	56	not	not	PART
ejpam-6118	191	57	depend	depend	VERB
ejpam-6118	191	58	on	on	ADP
ejpam-6118	191	59	ε	ε	PROPN
ejpam-6118	191	60	at	at	ADP
ejpam-6118	191	61	ε	ε	PROPN
ejpam-6118	191	62	∈	∈	PROPN
ejpam-6118	191	63	(	(	PUNCT
ejpam-6118	191	64	0	0	NUM
ejpam-6118	191	65	,	,	PUNCT
ejpam-6118	191	66	ε0	ε0	PROPN
ejpam-6118	191	67	]	]	PUNCT
ejpam-6118	191	68	.	.	PUNCT
ejpam-6118	192	1	5	5	X
ejpam-6118	192	2	.	.	X
ejpam-6118	192	3	constructing	construct	VERB
ejpam-6118	192	4	a	a	DET
ejpam-6118	192	5	solution	solution	NOUN
ejpam-6118	192	6	to	to	ADP
ejpam-6118	192	7	the	the	DET
ejpam-6118	192	8	first	first	ADJ
ejpam-6118	192	9	iterative	iterative	NOUN
ejpam-6118	192	10	problem	problem	NOUN
ejpam-6118	192	11	using	use	VERB
ejpam-6118	192	12	theorem	theorem	NOUN
ejpam-6118	192	13	1	1	NUM
ejpam-6118	192	14	,	,	PUNCT
ejpam-6118	192	15	we	we	PRON
ejpam-6118	192	16	will	will	AUX
ejpam-6118	192	17	try	try	VERB
ejpam-6118	192	18	to	to	PART
ejpam-6118	192	19	find	find	VERB
ejpam-6118	192	20	a	a	DET
ejpam-6118	192	21	solution	solution	NOUN
ejpam-6118	192	22	to	to	ADP
ejpam-6118	192	23	the	the	DET
ejpam-6118	192	24	first	first	ADJ
ejpam-6118	192	25	iteration	iteration	NOUN
ejpam-6118	192	26	problem	problem	NOUN
ejpam-6118	192	27	(	(	PUNCT
ejpam-6118	192	28	3.1k	3.1k	NUM
ejpam-6118	192	29	)	)	PUNCT
ejpam-6118	192	30	.	.	PUNCT
ejpam-6118	193	1	since	since	SCONJ
ejpam-6118	193	2	the	the	DET
ejpam-6118	193	3	right	right	ADJ
ejpam-6118	193	4	-	-	PUNCT
ejpam-6118	193	5	hand	hand	NOUN
ejpam-6118	193	6	side	side	NOUN
ejpam-6118	193	7	h1(t)+h2(t)e	h1(t)+h2(t)e	NOUN
ejpam-6118	193	8	τn+2σ	τn+2σ	NOUN
ejpam-6118	193	9	of	of	ADP
ejpam-6118	193	10	the	the	DET
ejpam-6118	193	11	equation	equation	NOUN
ejpam-6118	193	12	(	(	PUNCT
ejpam-6118	193	13	3.10	3.10	NUM
ejpam-6118	193	14	)	)	PUNCT
ejpam-6118	193	15	,	,	PUNCT
ejpam-6118	193	16	satisfy	satisfy	VERB
ejpam-6118	193	17	condition	condition	NOUN
ejpam-6118	193	18	(	(	PUNCT
ejpam-6118	193	19	3.3	3.3	NUM
ejpam-6118	193	20	)	)	PUNCT
ejpam-6118	193	21	,	,	PUNCT
ejpam-6118	193	22	this	this	DET
ejpam-6118	193	23	system	system	NOUN
ejpam-6118	193	24	has	have	AUX
ejpam-6118	193	25	(	(	PUNCT
ejpam-6118	193	26	according	accord	VERB
ejpam-6118	193	27	to	to	ADP
ejpam-6118	193	28	(	(	PUNCT
ejpam-6118	193	29	3.7	3.7	NUM
ejpam-6118	193	30	)	)	PUNCT
ejpam-6118	193	31	)	)	PUNCT
ejpam-6118	193	32	a	a	DET
ejpam-6118	193	33	solution	solution	NOUN
ejpam-6118	193	34	in	in	ADP
ejpam-6118	193	35	the	the	DET
ejpam-6118	193	36	space	space	NOUN
ejpam-6118	193	37	u	u	NOUN
ejpam-6118	193	38	in	in	ADP
ejpam-6118	193	39	the	the	DET
ejpam-6118	193	40	form	form	NOUN
ejpam-6118	193	41	z0(t	z0(t	PROPN
ejpam-6118	193	42	,	,	PUNCT
ejpam-6118	193	43	τ	τ	PROPN
ejpam-6118	193	44	,	,	PUNCT
ejpam-6118	193	45	σ	σ	PROPN
ejpam-6118	193	46	)	)	PUNCT
ejpam-6118	193	47	=	=	SYM
ejpam-6118	193	48	z	z	NOUN
ejpam-6118	193	49	(	(	PUNCT
ejpam-6118	193	50	0	0	NUM
ejpam-6118	193	51	)	)	PUNCT
ejpam-6118	193	52	0	0	NUM
ejpam-6118	193	53	(	(	PUNCT
ejpam-6118	193	54	t	t	PROPN
ejpam-6118	193	55	,	,	PUNCT
ejpam-6118	193	56	σ	σ	PROPN
ejpam-6118	193	57	)	)	PUNCT
ejpam-6118	193	58	+	+	CCONJ
ejpam-6118	193	59	α	α	PROPN
ejpam-6118	193	60	(	(	PUNCT
ejpam-6118	193	61	0	0	NUM
ejpam-6118	193	62	)	)	PUNCT
ejpam-6118	193	63	1	1	NUM
ejpam-6118	193	64	(	(	PUNCT
ejpam-6118	193	65	t	t	PROPN
ejpam-6118	193	66	,	,	PUNCT
ejpam-6118	193	67	σ)eτ1	σ)eτ1	NOUN
ejpam-6118	193	68	+	+	CCONJ
ejpam-6118	193	69	z	z	NOUN
ejpam-6118	193	70	(	(	PUNCT
ejpam-6118	193	71	0	0	NUM
ejpam-6118	193	72	)	)	SYM
ejpam-6118	193	73	2	2	NUM
ejpam-6118	193	74	(	(	PUNCT
ejpam-6118	193	75	t	t	PROPN
ejpam-6118	193	76	,	,	PUNCT
ejpam-6118	193	77	σ)eτ2σ	σ)eτ2σ	PROPN
ejpam-6118	193	78	,	,	PUNCT
ejpam-6118	193	79	(	(	PUNCT
ejpam-6118	193	80	5.1	5.1	NUM
ejpam-6118	193	81	)	)	PUNCT
ejpam-6118	193	82	where	where	SCONJ
ejpam-6118	193	83	α	α	PROPN
ejpam-6118	193	84	(	(	PUNCT
ejpam-6118	193	85	0	0	NUM
ejpam-6118	193	86	)	)	PUNCT
ejpam-6118	193	87	1	1	NUM
ejpam-6118	193	88	(	(	PUNCT
ejpam-6118	193	89	t	t	PROPN
ejpam-6118	193	90	,	,	PUNCT
ejpam-6118	193	91	σ	σ	PROPN
ejpam-6118	193	92	)	)	PUNCT
ejpam-6118	193	93	∈	∈	PROPN
ejpam-6118	193	94	c∞	c∞	PROPN
ejpam-6118	193	95	(	(	PUNCT
ejpam-6118	193	96	[	[	X
ejpam-6118	193	97	t0	t0	X
ejpam-6118	193	98	,	,	PUNCT
ejpam-6118	193	99	t	t	X
ejpam-6118	193	100	]	]	PUNCT
ejpam-6118	193	101	,	,	PUNCT
ejpam-6118	193	102	c	c	X
ejpam-6118	193	103	)	)	PUNCT
ejpam-6118	193	104	is	be	AUX
ejpam-6118	193	105	arbitrary	arbitrary	ADJ
ejpam-6118	193	106	function	function	NOUN
ejpam-6118	193	107	,	,	PUNCT
ejpam-6118	193	108	z	z	NOUN
ejpam-6118	193	109	(	(	PUNCT
ejpam-6118	193	110	0	0	NUM
ejpam-6118	193	111	)	)	SYM
ejpam-6118	193	112	2	2	NUM
ejpam-6118	193	113	(	(	PUNCT
ejpam-6118	193	114	t	t	PROPN
ejpam-6118	193	115	,	,	PUNCT
ejpam-6118	193	116	σ	σ	PROPN
ejpam-6118	193	117	)	)	PUNCT
ejpam-6118	194	1	=	=	PUNCT
ejpam-6118	195	1	[	[	PUNCT
ejpam-6118	195	2	t(1−α)λ2(t)−	t(1−α)λ2(t)−	X
ejpam-6118	195	3	λ1(t	λ1(t	PROPN
ejpam-6118	195	4	)	)	PUNCT
ejpam-6118	195	5	]	]	X
ejpam-6118	195	6	−1	−1	NOUN
ejpam-6118	195	7	h2(t	h2(t	PROPN
ejpam-6118	195	8	)	)	PUNCT
ejpam-6118	195	9	,	,	PUNCT
ejpam-6118	195	10	z	z	NOUN
ejpam-6118	195	11	(	(	PUNCT
ejpam-6118	195	12	0	0	NUM
ejpam-6118	195	13	)	)	PUNCT
ejpam-6118	195	14	0	0	NUM
ejpam-6118	195	15	(	(	PUNCT
ejpam-6118	195	16	t	t	PROPN
ejpam-6118	195	17	,	,	PUNCT
ejpam-6118	195	18	σ	σ	PROPN
ejpam-6118	195	19	)	)	PUNCT
ejpam-6118	195	20	is	be	AUX
ejpam-6118	195	21	the	the	DET
ejpam-6118	195	22	solution	solution	NOUN
ejpam-6118	195	23	of	of	ADP
ejpam-6118	195	24	the	the	DET
ejpam-6118	195	25	integral	integral	ADJ
ejpam-6118	195	26	equation	equation	NOUN
ejpam-6118	195	27	z	z	X
ejpam-6118	195	28	(	(	PUNCT
ejpam-6118	195	29	0	0	NUM
ejpam-6118	195	30	)	)	PUNCT
ejpam-6118	195	31	0	0	NUM
ejpam-6118	196	1	(	(	PUNCT
ejpam-6118	196	2	t	t	PROPN
ejpam-6118	196	3	,	,	PUNCT
ejpam-6118	196	4	σ	σ	PROPN
ejpam-6118	196	5	)	)	PUNCT
ejpam-6118	196	6	=	=	SYM
ejpam-6118	197	1	t∫	t∫	PROPN
ejpam-6118	197	2	t0	t0	PROPN
ejpam-6118	197	3	(	(	PUNCT
ejpam-6118	197	4	−λ−1	−λ−1	NUM
ejpam-6118	197	5	1	1	NUM
ejpam-6118	197	6	(	(	PUNCT
ejpam-6118	197	7	t)k(t	t)k(t	NOUN
ejpam-6118	197	8	,	,	PUNCT
ejpam-6118	197	9	s	s	NOUN
ejpam-6118	197	10	)	)	PUNCT
ejpam-6118	197	11	)	)	PUNCT
ejpam-6118	198	1	z0(s	z0(s	NUM
ejpam-6118	198	2	,	,	PUNCT
ejpam-6118	198	3	σ)ds−	σ)ds−	PROPN
ejpam-6118	198	4	λ−1	λ−1	PROPN
ejpam-6118	198	5	1	1	NUM
ejpam-6118	198	6	(	(	PUNCT
ejpam-6118	198	7	t)h1(t	t)h1(t	NUM
ejpam-6118	198	8	)	)	PUNCT
ejpam-6118	198	9	.	.	PUNCT
ejpam-6118	199	1	submitting	submit	VERB
ejpam-6118	199	2	(	(	PUNCT
ejpam-6118	199	3	5.1	5.1	NUM
ejpam-6118	199	4	)	)	PUNCT
ejpam-6118	199	5	to	to	ADP
ejpam-6118	199	6	the	the	DET
ejpam-6118	199	7	initial	initial	ADJ
ejpam-6118	199	8	condition	condition	NOUN
ejpam-6118	199	9	z0(t0	z0(t0	NOUN
ejpam-6118	199	10	,	,	PUNCT
ejpam-6118	199	11	0	0	NUM
ejpam-6118	199	12	)	)	PUNCT
ejpam-6118	199	13	=	=	SYM
ejpam-6118	199	14	z0	z0	PROPN
ejpam-6118	199	15	,	,	PUNCT
ejpam-6118	199	16	we	we	PRON
ejpam-6118	199	17	will	will	AUX
ejpam-6118	199	18	have	have	VERB
ejpam-6118	199	19	z	z	NOUN
ejpam-6118	199	20	(	(	PUNCT
ejpam-6118	199	21	0	0	NUM
ejpam-6118	199	22	)	)	PUNCT
ejpam-6118	199	23	0	0	NUM
ejpam-6118	200	1	(	(	PUNCT
ejpam-6118	200	2	t0	t0	PROPN
ejpam-6118	200	3	,	,	PUNCT
ejpam-6118	200	4	σ	σ	PROPN
ejpam-6118	200	5	)	)	PUNCT
ejpam-6118	201	1	+	+	CCONJ
ejpam-6118	201	2	α	α	PROPN
ejpam-6118	201	3	(	(	PUNCT
ejpam-6118	201	4	0	0	NUM
ejpam-6118	201	5	)	)	SYM
ejpam-6118	201	6	1	1	NUM
ejpam-6118	201	7	(	(	PUNCT
ejpam-6118	201	8	t0	t0	PROPN
ejpam-6118	201	9	,	,	PUNCT
ejpam-6118	201	10	σ	σ	PROPN
ejpam-6118	201	11	)	)	PUNCT
ejpam-6118	201	12	+	+	NUM
ejpam-6118	201	13	z	z	NOUN
ejpam-6118	201	14	(	(	PUNCT
ejpam-6118	201	15	0	0	NUM
ejpam-6118	201	16	)	)	SYM
ejpam-6118	201	17	2	2	NUM
ejpam-6118	201	18	(	(	PUNCT
ejpam-6118	201	19	t0	t0	NOUN
ejpam-6118	201	20	,	,	PUNCT
ejpam-6118	201	21	σ)σ	σ)σ	ADJ
ejpam-6118	201	22	=	=	SYM
ejpam-6118	201	23	z0	z0	PROPN
ejpam-6118	201	24	,	,	PUNCT
ejpam-6118	201	25	⇔	⇔	PROPN
ejpam-6118	201	26	⇔	⇔	PROPN
ejpam-6118	201	27	α	α	PROPN
ejpam-6118	201	28	(	(	PUNCT
ejpam-6118	201	29	0	0	NUM
ejpam-6118	201	30	)	)	SYM
ejpam-6118	201	31	1	1	NUM
ejpam-6118	201	32	(	(	PUNCT
ejpam-6118	201	33	t0	t0	PROPN
ejpam-6118	201	34	,	,	PUNCT
ejpam-6118	201	35	σ	σ	PROPN
ejpam-6118	201	36	)	)	PUNCT
ejpam-6118	201	37	=	=	SYM
ejpam-6118	201	38	z0	z0	PROPN
ejpam-6118	202	1	+	+	CCONJ
ejpam-6118	202	2	λ−1	λ−1	PROPN
ejpam-6118	202	3	1	1	NUM
ejpam-6118	202	4	(	(	PUNCT
ejpam-6118	202	5	t0)h1(t0)−	t0)h1(t0)−	X
ejpam-6118	202	6	[	[	PUNCT
ejpam-6118	202	7	t0	t0	PROPN
ejpam-6118	202	8	(	(	PUNCT
ejpam-6118	202	9	1−α)λ2(t0)−	1−α)λ2(t0)−	NOUN
ejpam-6118	202	10	λ1(t0	λ1(t0	NUM
ejpam-6118	202	11	)	)	PUNCT
ejpam-6118	202	12	]	]	X
ejpam-6118	202	13	−1	−1	NOUN
ejpam-6118	202	14	h2(t0)σ	h2(t0)σ	NOUN
ejpam-6118	202	15	.	.	PUNCT
ejpam-6118	203	1	(	(	PUNCT
ejpam-6118	203	2	5.2	5.2	NUM
ejpam-6118	203	3	)	)	PUNCT
ejpam-6118	203	4	for	for	ADP
ejpam-6118	203	5	a	a	DET
ejpam-6118	203	6	complete	complete	ADJ
ejpam-6118	203	7	calculation	calculation	NOUN
ejpam-6118	203	8	of	of	ADP
ejpam-6118	203	9	the	the	DET
ejpam-6118	203	10	function	function	NOUN
ejpam-6118	203	11	α	α	NOUN
ejpam-6118	203	12	(	(	PUNCT
ejpam-6118	203	13	0	0	NUM
ejpam-6118	203	14	)	)	PUNCT
ejpam-6118	203	15	1	1	NUM
ejpam-6118	203	16	(	(	PUNCT
ejpam-6118	203	17	t	t	PROPN
ejpam-6118	203	18	,	,	PUNCT
ejpam-6118	203	19	σ	σ	PROPN
ejpam-6118	203	20	)	)	PUNCT
ejpam-6118	203	21	,	,	PUNCT
ejpam-6118	203	22	we	we	PRON
ejpam-6118	203	23	pass	pass	VERB
ejpam-6118	203	24	to	to	ADP
ejpam-6118	203	25	the	the	DET
ejpam-6118	203	26	next	next	ADJ
ejpam-6118	203	27	iterative	iterative	NOUN
ejpam-6118	203	28	problem	problem	NOUN
ejpam-6118	203	29	(	(	PUNCT
ejpam-6118	203	30	3.11	3.11	NUM
ejpam-6118	203	31	)	)	PUNCT
ejpam-6118	203	32	.	.	PUNCT
ejpam-6118	204	1	substituting	substitute	VERB
ejpam-6118	204	2	the	the	DET
ejpam-6118	204	3	solution	solution	NOUN
ejpam-6118	204	4	(	(	PUNCT
ejpam-6118	204	5	5.1	5.1	NUM
ejpam-6118	204	6	)	)	PUNCT
ejpam-6118	204	7	of	of	ADP
ejpam-6118	204	8	the	the	DET
ejpam-6118	204	9	equation	equation	NOUN
ejpam-6118	204	10	(	(	PUNCT
ejpam-6118	204	11	3.10	3.10	NUM
ejpam-6118	204	12	)	)	PUNCT
ejpam-6118	204	13	into	into	ADP
ejpam-6118	204	14	it	it	PRON
ejpam-6118	204	15	,	,	PUNCT
ejpam-6118	204	16	we	we	PRON
ejpam-6118	204	17	obtain	obtain	VERB
ejpam-6118	204	18	the	the	DET
ejpam-6118	204	19	following	follow	VERB
ejpam-6118	204	20	system	system	NOUN
ejpam-6118	204	21	of	of	ADP
ejpam-6118	204	22	equations	equation	NOUN
ejpam-6118	204	23	:	:	PUNCT
ejpam-6118	205	1	ly1(t	ly1(t	PROPN
ejpam-6118	205	2	,	,	PUNCT
ejpam-6118	205	3	τ	τ	X
ejpam-6118	205	4	)	)	PUNCT
ejpam-6118	205	5	=	=	PUNCT
ejpam-6118	206	1	−	−	PROPN
ejpam-6118	206	2	d	d	X
ejpam-6118	206	3	dt	dt	X
ejpam-6118	206	4	(	(	PUNCT
ejpam-6118	206	5	t(1−α)z	t(1−α)z	X
ejpam-6118	206	6	(	(	PUNCT
ejpam-6118	206	7	0	0	NUM
ejpam-6118	206	8	)	)	PUNCT
ejpam-6118	206	9	0	0	NUM
ejpam-6118	206	10	(	(	PUNCT
ejpam-6118	206	11	t	t	PROPN
ejpam-6118	206	12	,	,	PUNCT
ejpam-6118	206	13	σ	σ	PROPN
ejpam-6118	206	14	)	)	PUNCT
ejpam-6118	206	15	)	)	PUNCT
ejpam-6118	207	1	−	−	PROPN
ejpam-6118	208	1	d	d	INTJ
ejpam-6118	208	2	dt	dt	X
ejpam-6118	208	3	(	(	PUNCT
ejpam-6118	208	4	t(1−α)α	t(1−α)α	X
ejpam-6118	208	5	(	(	PUNCT
ejpam-6118	208	6	0	0	NUM
ejpam-6118	208	7	)	)	SYM
ejpam-6118	208	8	1	1	NUM
ejpam-6118	208	9	(	(	PUNCT
ejpam-6118	208	10	t	t	PROPN
ejpam-6118	208	11	,	,	PUNCT
ejpam-6118	208	12	σ	σ	PROPN
ejpam-6118	208	13	)	)	PUNCT
ejpam-6118	208	14	)	)	PUNCT
ejpam-6118	208	15	eτ1−	eτ1−	PROPN
ejpam-6118	208	16	a.	a.	NOUN
ejpam-6118	208	17	bobodzhanov	bobodzhanov	PROPN
ejpam-6118	208	18	,	,	PUNCT
ejpam-6118	208	19	b.	b.	PROPN
ejpam-6118	208	20	kalimbetov	kalimbetov	PROPN
ejpam-6118	208	21	,	,	PUNCT
ejpam-6118	208	22	k.	k.	PROPN
ejpam-6118	208	23	turekhanov	turekhanov	PROPN
ejpam-6118	208	24	/	/	SYM
ejpam-6118	208	25	eur	eur	PROPN
ejpam-6118	208	26	.	.	PUNCT
ejpam-6118	209	1	j.	j.	PROPN
ejpam-6118	209	2	pure	pure	PROPN
ejpam-6118	209	3	appl	appl	PROPN
ejpam-6118	209	4	.	.	PROPN
ejpam-6118	209	5	math	math	PROPN
ejpam-6118	209	6	,	,	PUNCT
ejpam-6118	209	7	18	18	NUM
ejpam-6118	209	8	(	(	PUNCT
ejpam-6118	209	9	3	3	NUM
ejpam-6118	209	10	)	)	PUNCT
ejpam-6118	209	11	(	(	PUNCT
ejpam-6118	209	12	2025	2025	NUM
ejpam-6118	209	13	)	)	PUNCT
ejpam-6118	209	14	,	,	PUNCT
ejpam-6118	209	15	6544	6544	NUM
ejpam-6118	209	16	11	11	NUM
ejpam-6118	209	17	of	of	ADP
ejpam-6118	209	18	14	14	NUM
ejpam-6118	209	19	−	−	NOUN
ejpam-6118	210	1	d	d	NOUN
ejpam-6118	210	2	dt	dt	X
ejpam-6118	210	3	(	(	PUNCT
ejpam-6118	210	4	t(1−α)z	t(1−α)z	X
ejpam-6118	210	5	(	(	PUNCT
ejpam-6118	210	6	0	0	NUM
ejpam-6118	210	7	)	)	SYM
ejpam-6118	210	8	2	2	NUM
ejpam-6118	210	9	(	(	PUNCT
ejpam-6118	210	10	t	t	PROPN
ejpam-6118	210	11	,	,	PUNCT
ejpam-6118	210	12	σ)σeτ2	σ)σeτ2	PROPN
ejpam-6118	210	13	)	)	PUNCT
ejpam-6118	211	1	+	+	ADJ
ejpam-6118	211	2	r1z0	r1z0	ADJ
ejpam-6118	211	3	=	=	PUNCT
ejpam-6118	211	4	−(1−	−(1−	ADP
ejpam-6118	211	5	α)t(−α)z	α)t(−α)z	PROPN
ejpam-6118	211	6	(	(	PUNCT
ejpam-6118	211	7	0	0	NUM
ejpam-6118	211	8	)	)	PUNCT
ejpam-6118	211	9	0	0	NUM
ejpam-6118	212	1	(	(	PUNCT
ejpam-6118	212	2	t	t	PROPN
ejpam-6118	212	3	,	,	PUNCT
ejpam-6118	212	4	σ)−	σ)−	PROPN
ejpam-6118	212	5	−t(1−α)ż(0)0	−t(1−α)ż(0)0	NOUN
ejpam-6118	212	6	(	(	PUNCT
ejpam-6118	212	7	t	t	PROPN
ejpam-6118	212	8	,	,	PUNCT
ejpam-6118	212	9	σ)−	σ)−	PROPN
ejpam-6118	212	10	(	(	PUNCT
ejpam-6118	212	11	(	(	PUNCT
ejpam-6118	212	12	1−	1−	NUM
ejpam-6118	212	13	α)t(−α)α	α)t(−α)α	NOUN
ejpam-6118	212	14	(	(	PUNCT
ejpam-6118	212	15	0	0	NUM
ejpam-6118	212	16	)	)	PUNCT
ejpam-6118	212	17	1	1	NUM
ejpam-6118	212	18	(	(	PUNCT
ejpam-6118	212	19	t	t	PROPN
ejpam-6118	212	20	,	,	PUNCT
ejpam-6118	212	21	σ	σ	PROPN
ejpam-6118	212	22	)	)	PUNCT
ejpam-6118	212	23	+	+	NUM
ejpam-6118	212	24	t(1−α)α̇	t(1−α)α̇	NOUN
ejpam-6118	212	25	(	(	PUNCT
ejpam-6118	212	26	0	0	NUM
ejpam-6118	212	27	)	)	SYM
ejpam-6118	212	28	1	1	NUM
ejpam-6118	212	29	(	(	PUNCT
ejpam-6118	212	30	t	t	PROPN
ejpam-6118	212	31	,	,	PUNCT
ejpam-6118	212	32	σ	σ	PROPN
ejpam-6118	212	33	)	)	PUNCT
ejpam-6118	212	34	)	)	PUNCT
ejpam-6118	212	35	eτ1−	eτ1−	NOUN
ejpam-6118	213	1	−	−	PROPN
ejpam-6118	213	2	(	(	PUNCT
ejpam-6118	213	3	(	(	PUNCT
ejpam-6118	213	4	1−	1−	NUM
ejpam-6118	213	5	α)t(−α)z	α)t(−α)z	PROPN
ejpam-6118	213	6	(	(	PUNCT
ejpam-6118	213	7	0	0	NUM
ejpam-6118	213	8	)	)	SYM
ejpam-6118	213	9	2	2	NUM
ejpam-6118	213	10	(	(	PUNCT
ejpam-6118	213	11	t	t	PROPN
ejpam-6118	213	12	,	,	PUNCT
ejpam-6118	213	13	σ)−	σ)−	PROPN
ejpam-6118	213	14	t(1−α)ż	t(1−α)ż	X
ejpam-6118	213	15	(	(	PUNCT
ejpam-6118	213	16	0	0	NUM
ejpam-6118	213	17	)	)	SYM
ejpam-6118	213	18	2	2	NUM
ejpam-6118	213	19	(	(	PUNCT
ejpam-6118	213	20	t	t	PROPN
ejpam-6118	213	21	,	,	PUNCT
ejpam-6118	213	22	σ	σ	PROPN
ejpam-6118	213	23	)	)	PUNCT
ejpam-6118	213	24	)	)	PUNCT
ejpam-6118	214	1	σeτ2	σeτ2	PROPN
ejpam-6118	214	2	+	+	X
ejpam-6118	215	1	+	+	CCONJ
ejpam-6118	215	2	[	[	PUNCT
ejpam-6118	215	3	k(t	k(t	NOUN
ejpam-6118	215	4	,	,	PUNCT
ejpam-6118	215	5	t)α1(t	t)α1(t	NUM
ejpam-6118	215	6	,	,	PUNCT
ejpam-6118	215	7	σ	σ	NOUN
ejpam-6118	215	8	)	)	PUNCT
ejpam-6118	215	9	t(1−α)λ1(t	t(1−α)λ1(t	PROPN
ejpam-6118	215	10	)	)	PUNCT
ejpam-6118	215	11	eτ1	eτ1	NOUN
ejpam-6118	216	1	−	−	PROPN
ejpam-6118	216	2	k(t	k(t	PROPN
ejpam-6118	216	3	,	,	PUNCT
ejpam-6118	216	4	t0)α1(t0	t0)α1(t0	ADV
ejpam-6118	216	5	,	,	PUNCT
ejpam-6118	216	6	σ	σ	PROPN
ejpam-6118	216	7	)	)	PUNCT
ejpam-6118	216	8	t0(1−α)λ1(t0	t0(1−α)λ1(t0	NUM
ejpam-6118	216	9	)	)	PUNCT
ejpam-6118	216	10	]	]	PUNCT
ejpam-6118	217	1	+	+	CCONJ
ejpam-6118	217	2	+	+	CCONJ
ejpam-6118	217	3	k(t	k(t	PROPN
ejpam-6118	217	4	,	,	PUNCT
ejpam-6118	217	5	t0)z2(t	t0)z2(t	NOUN
ejpam-6118	217	6	)	)	PUNCT
ejpam-6118	217	7	λ2(t	λ2(t	PROPN
ejpam-6118	217	8	)	)	PUNCT
ejpam-6118	217	9	eτ2	eτ2	NOUN
ejpam-6118	217	10	−	−	PROPN
ejpam-6118	218	1	k(t	k(t	NOUN
ejpam-6118	218	2	,	,	PUNCT
ejpam-6118	218	3	t)z2(t0	t)z2(t0	PROPN
ejpam-6118	218	4	,	,	PUNCT
ejpam-6118	218	5	σ	σ	PROPN
ejpam-6118	218	6	)	)	PUNCT
ejpam-6118	218	7	λ2(t0	λ2(t0	NOUN
ejpam-6118	218	8	)	)	PUNCT
ejpam-6118	218	9	.	.	PUNCT
ejpam-6118	219	1	performing	perform	VERB
ejpam-6118	219	2	here	here	ADV
ejpam-6118	219	3	scalar	scalar	ADJ
ejpam-6118	219	4	multiplication	multiplication	NOUN
ejpam-6118	219	5	,	,	PUNCT
ejpam-6118	219	6	we	we	PRON
ejpam-6118	219	7	obtain	obtain	VERB
ejpam-6118	219	8	the	the	DET
ejpam-6118	219	9	following	follow	VERB
ejpam-6118	219	10	system	system	NOUN
ejpam-6118	219	11	of	of	ADP
ejpam-6118	219	12	ordinary	ordinary	ADJ
ejpam-6118	219	13	differential	differential	ADJ
ejpam-6118	219	14	equations	equation	NOUN
ejpam-6118	219	15	−t(1−α)dα	−t(1−α)dα	PROPN
ejpam-6118	219	16	(	(	PUNCT
ejpam-6118	219	17	0	0	NUM
ejpam-6118	219	18	)	)	PUNCT
ejpam-6118	219	19	1	1	NUM
ejpam-6118	219	20	(	(	PUNCT
ejpam-6118	219	21	t	t	PROPN
ejpam-6118	219	22	,	,	PUNCT
ejpam-6118	219	23	σ	σ	PROPN
ejpam-6118	219	24	)	)	PUNCT
ejpam-6118	219	25	dt	dt	NOUN
ejpam-6118	220	1	+	+	CCONJ
ejpam-6118	220	2	[	[	PUNCT
ejpam-6118	220	3	k(t	k(t	PROPN
ejpam-6118	220	4	,	,	PUNCT
ejpam-6118	220	5	t	t	PROPN
ejpam-6118	220	6	)	)	PUNCT
ejpam-6118	220	7	t(1−α)λ1(t	t(1−α)λ1(t	PROPN
ejpam-6118	220	8	)	)	PUNCT
ejpam-6118	221	1	−	−	PROPN
ejpam-6118	221	2	(	(	PUNCT
ejpam-6118	221	3	1−	1−	NUM
ejpam-6118	221	4	α)t(−α	α)t(−α	NUM
ejpam-6118	221	5	)	)	PUNCT
ejpam-6118	221	6	]	]	PUNCT
ejpam-6118	222	1	α	α	PRON
ejpam-6118	222	2	(	(	PUNCT
ejpam-6118	222	3	0	0	NUM
ejpam-6118	222	4	)	)	PUNCT
ejpam-6118	222	5	1	1	NUM
ejpam-6118	222	6	(	(	PUNCT
ejpam-6118	222	7	t	t	PROPN
ejpam-6118	222	8	,	,	PUNCT
ejpam-6118	222	9	σ	σ	PROPN
ejpam-6118	222	10	)	)	PUNCT
ejpam-6118	222	11	=	=	SYM
ejpam-6118	222	12	0	0	X
ejpam-6118	222	13	.	.	PUNCT
ejpam-6118	222	14	adding	add	VERB
ejpam-6118	222	15	the	the	DET
ejpam-6118	222	16	initial	initial	ADJ
ejpam-6118	222	17	condition	condition	NOUN
ejpam-6118	222	18	(	(	PUNCT
ejpam-6118	222	19	5.2	5.2	NUM
ejpam-6118	222	20	)	)	PUNCT
ejpam-6118	222	21	to	to	ADP
ejpam-6118	222	22	this	this	DET
ejpam-6118	222	23	equation	equation	NOUN
ejpam-6118	222	24	,	,	PUNCT
ejpam-6118	222	25	we	we	PRON
ejpam-6118	222	26	find	find	VERB
ejpam-6118	222	27	α	α	PRON
ejpam-6118	222	28	(	(	PUNCT
ejpam-6118	222	29	0	0	NUM
ejpam-6118	222	30	)	)	PUNCT
ejpam-6118	222	31	k	k	NOUN
ejpam-6118	222	32	(	(	PUNCT
ejpam-6118	222	33	t	t	PROPN
ejpam-6118	222	34	)	)	PUNCT
ejpam-6118	222	35	:	:	PUNCT
ejpam-6118	223	1	α	α	X
ejpam-6118	223	2	(	(	PUNCT
ejpam-6118	223	3	0	0	NUM
ejpam-6118	223	4	)	)	PUNCT
ejpam-6118	223	5	1	1	NUM
ejpam-6118	223	6	(	(	PUNCT
ejpam-6118	223	7	t	t	PROPN
ejpam-6118	223	8	,	,	PUNCT
ejpam-6118	223	9	σ	σ	PROPN
ejpam-6118	223	10	)	)	PUNCT
ejpam-6118	223	11	=	=	SYM
ejpam-6118	223	12	α	α	PROPN
ejpam-6118	223	13	(	(	PUNCT
ejpam-6118	223	14	0	0	NUM
ejpam-6118	223	15	)	)	SYM
ejpam-6118	223	16	1	1	NUM
ejpam-6118	223	17	(	(	PUNCT
ejpam-6118	223	18	t0	t0	NOUN
ejpam-6118	223	19	,	,	PUNCT
ejpam-6118	223	20	σ)e	σ)e	PUNCT
ejpam-6118	224	1	t∫	t∫	PROPN
ejpam-6118	224	2	t0	t0	PROPN
ejpam-6118	224	3	[	[	PUNCT
ejpam-6118	224	4	k(θ	k(θ	PROPN
ejpam-6118	224	5	,	,	PUNCT
ejpam-6118	224	6	θ)−(1−α)θ(1−2α	θ)−(1−α)θ(1−2α	ADJ
ejpam-6118	224	7	)	)	PUNCT
ejpam-6118	224	8	θ2(1−α)a(θ	θ2(1−α)a(θ	PROPN
ejpam-6118	224	9	)	)	PUNCT
ejpam-6118	224	10	]	]	PUNCT
ejpam-6118	225	1	dθ	dθ	X
ejpam-6118	225	2	,	,	PUNCT
ejpam-6118	225	3	and	and	CCONJ
ejpam-6118	225	4	hence	hence	ADV
ejpam-6118	225	5	the	the	DET
ejpam-6118	225	6	solution	solution	NOUN
ejpam-6118	225	7	(	(	PUNCT
ejpam-6118	225	8	5.1	5.1	NUM
ejpam-6118	225	9	)	)	PUNCT
ejpam-6118	225	10	of	of	ADP
ejpam-6118	225	11	the	the	DET
ejpam-6118	225	12	problem	problem	NOUN
ejpam-6118	225	13	(	(	PUNCT
ejpam-6118	225	14	3.10	3.10	NUM
ejpam-6118	225	15	)	)	PUNCT
ejpam-6118	225	16	will	will	AUX
ejpam-6118	225	17	be	be	AUX
ejpam-6118	225	18	found	find	VERB
ejpam-6118	225	19	uniquely	uniquely	ADV
ejpam-6118	225	20	in	in	ADP
ejpam-6118	225	21	the	the	DET
ejpam-6118	225	22	space	space	NOUN
ejpam-6118	225	23	u	u	NOUN
ejpam-6118	225	24	.	.	PUNCT
ejpam-6118	226	1	in	in	ADP
ejpam-6118	226	2	this	this	DET
ejpam-6118	226	3	case	case	NOUN
ejpam-6118	226	4	,	,	PUNCT
ejpam-6118	226	5	the	the	DET
ejpam-6118	226	6	leading	lead	VERB
ejpam-6118	226	7	term	term	NOUN
ejpam-6118	226	8	of	of	ADP
ejpam-6118	226	9	the	the	DET
ejpam-6118	226	10	asymptotic	asymptotic	NOUN
ejpam-6118	226	11	has	have	VERB
ejpam-6118	226	12	the	the	DET
ejpam-6118	226	13	following	follow	VERB
ejpam-6118	226	14	form	form	NOUN
ejpam-6118	226	15	:	:	PUNCT
ejpam-6118	226	16	zε0(t	zε0(t	NUM
ejpam-6118	226	17	)	)	PUNCT
ejpam-6118	226	18	=	=	SYM
ejpam-6118	226	19	z	z	NOUN
ejpam-6118	226	20	(	(	PUNCT
ejpam-6118	226	21	0	0	NUM
ejpam-6118	226	22	)	)	PUNCT
ejpam-6118	226	23	0	0	NUM
ejpam-6118	227	1	(	(	PUNCT
ejpam-6118	227	2	t	t	NOUN
ejpam-6118	227	3	)	)	PUNCT
ejpam-6118	228	1	+	+	NUM
ejpam-6118	228	2	z	z	NOUN
ejpam-6118	228	3	(	(	PUNCT
ejpam-6118	228	4	0	0	NUM
ejpam-6118	228	5	)	)	SYM
ejpam-6118	228	6	2	2	NUM
ejpam-6118	228	7	(	(	PUNCT
ejpam-6118	228	8	t)e	t)e	NOUN
ejpam-6118	228	9	+	+	CCONJ
ejpam-6118	228	10	iβ(t	iβ(t	SYM
ejpam-6118	228	11	)	)	PUNCT
ejpam-6118	228	12	ε	ε	PROPN
ejpam-6118	229	1	+	+	CCONJ
ejpam-6118	229	2	(	(	PUNCT
ejpam-6118	229	3	z0	z0	PROPN
ejpam-6118	229	4	+	+	NOUN
ejpam-6118	229	5	a−1(t0)h1(t0)−	a−1(t0)h1(t0)−	NOUN
ejpam-6118	229	6	−	−	PROPN
ejpam-6118	229	7	[	[	PUNCT
ejpam-6118	229	8	t0	t0	PROPN
ejpam-6118	229	9	(	(	PUNCT
ejpam-6118	229	10	1−α)(−iβ′(t0))−a(t0	1−α)(−iβ′(t0))−a(t0	PROPN
ejpam-6118	229	11	)	)	PUNCT
ejpam-6118	229	12	]	]	PUNCT
ejpam-6118	229	13	−1	−1	NOUN
ejpam-6118	229	14	h2(t0)σ	h2(t0)σ	NOUN
ejpam-6118	229	15	)	)	PUNCT
ejpam-6118	230	1	e	e	X
ejpam-6118	230	2	t∫	t∫	PROPN
ejpam-6118	230	3	t0	t0	PROPN
ejpam-6118	230	4	[	[	PUNCT
ejpam-6118	230	5	k(θ	k(θ	PROPN
ejpam-6118	230	6	,	,	PUNCT
ejpam-6118	230	7	θ)−(1−α)θ(1−2α	θ)−(1−α)θ(1−2α	ADJ
ejpam-6118	230	8	)	)	PUNCT
ejpam-6118	230	9	θ2(1−α)a(θ	θ2(1−α)a(θ	PROPN
ejpam-6118	230	10	)	)	PUNCT
ejpam-6118	230	11	]	]	PUNCT
ejpam-6118	231	1	dθ+	dθ+	NOUN
ejpam-6118	231	2	1	1	NUM
ejpam-6118	231	3	ε	ε	PROPN
ejpam-6118	231	4	t∫	t∫	PROPN
ejpam-6118	231	5	t0	t0	PROPN
ejpam-6118	231	6	a(θ)dθ	a(θ)dθ	PRON
ejpam-6118	231	7	.	.	PUNCT
ejpam-6118	232	1	(	(	PUNCT
ejpam-6118	232	2	5.3	5.3	NUM
ejpam-6118	232	3	)	)	PUNCT
ejpam-6118	232	4	6	6	NUM
ejpam-6118	232	5	.	.	X
ejpam-6118	232	6	conclussion	conclussion	NOUN
ejpam-6118	232	7	from	from	ADP
ejpam-6118	232	8	expression	expression	NOUN
ejpam-6118	232	9	(	(	PUNCT
ejpam-6118	232	10	5.3	5.3	NUM
ejpam-6118	232	11	)	)	PUNCT
ejpam-6118	232	12	for	for	ADP
ejpam-6118	232	13	it	it	PRON
ejpam-6118	232	14	is	be	AUX
ejpam-6118	232	15	evident	evident	ADJ
ejpam-6118	232	16	that	that	SCONJ
ejpam-6118	232	17	the	the	DET
ejpam-6118	232	18	application	application	NOUN
ejpam-6118	232	19	of	of	ADP
ejpam-6118	232	20	s.a.lomov	s.a.lomov	PROPN
ejpam-6118	232	21	’s	’s	PART
ejpam-6118	232	22	regularization	regularization	NOUN
ejpam-6118	232	23	method	method	NOUN
ejpam-6118	232	24	to	to	ADP
ejpam-6118	232	25	the	the	DET
ejpam-6118	232	26	construction	construction	NOUN
ejpam-6118	232	27	of	of	ADP
ejpam-6118	232	28	the	the	DET
ejpam-6118	232	29	leading	lead	VERB
ejpam-6118	232	30	term	term	NOUN
ejpam-6118	232	31	of	of	ADP
ejpam-6118	232	32	the	the	DET
ejpam-6118	232	33	asymptotic	asymptotic	NOUN
ejpam-6118	232	34	of	of	ADP
ejpam-6118	232	35	the	the	DET
ejpam-6118	232	36	solution	solution	NOUN
ejpam-6118	232	37	to	to	ADP
ejpam-6118	232	38	problem	problem	NOUN
ejpam-6118	232	39	(	(	PUNCT
ejpam-6118	232	40	1.2	1.2	NUM
ejpam-6118	232	41	)	)	PUNCT
ejpam-6118	232	42	is	be	AUX
ejpam-6118	232	43	significantly	significantly	ADV
ejpam-6118	232	44	influenced	influence	VERB
ejpam-6118	232	45	by	by	ADP
ejpam-6118	232	46	both	both	CCONJ
ejpam-6118	232	47	the	the	DET
ejpam-6118	232	48	rapidly	rapidly	ADV
ejpam-6118	232	49	oscillating	oscillate	VERB
ejpam-6118	232	50	in	in	ADP
ejpam-6118	232	51	-	-	PUNCT
ejpam-6118	232	52	homogeneity	homogeneity	NOUN
ejpam-6118	232	53	and	and	CCONJ
ejpam-6118	232	54	the	the	DET
ejpam-6118	232	55	kernel	kernel	NOUN
ejpam-6118	232	56	of	of	ADP
ejpam-6118	232	57	the	the	DET
ejpam-6118	232	58	integral	integral	ADJ
ejpam-6118	232	59	operator	operator	NOUN
ejpam-6118	232	60	.	.	PUNCT
ejpam-6118	233	1	a.	a.	PROPN
ejpam-6118	233	2	bobodzhanov	bobodzhanov	PROPN
ejpam-6118	233	3	,	,	PUNCT
ejpam-6118	233	4	b.	b.	PROPN
ejpam-6118	233	5	kalimbetov	kalimbetov	PROPN
ejpam-6118	233	6	,	,	PUNCT
ejpam-6118	233	7	k.	k.	PROPN
ejpam-6118	233	8	turekhanov	turekhanov	PROPN
ejpam-6118	233	9	/	/	SYM
ejpam-6118	233	10	eur	eur	PROPN
ejpam-6118	233	11	.	.	PUNCT
ejpam-6118	234	1	j.	j.	PROPN
ejpam-6118	234	2	pure	pure	PROPN
ejpam-6118	234	3	appl	appl	PROPN
ejpam-6118	234	4	.	.	PROPN
ejpam-6118	234	5	math	math	PROPN
ejpam-6118	234	6	,	,	PUNCT
ejpam-6118	234	7	18	18	NUM
ejpam-6118	234	8	(	(	PUNCT
ejpam-6118	234	9	3	3	NUM
ejpam-6118	234	10	)	)	PUNCT
ejpam-6118	234	11	(	(	PUNCT
ejpam-6118	234	12	2025	2025	NUM
ejpam-6118	234	13	)	)	PUNCT
ejpam-6118	234	14	,	,	PUNCT
ejpam-6118	234	15	6544	6544	NUM
ejpam-6118	234	16	12	12	NUM
ejpam-6118	234	17	of	of	ADP
ejpam-6118	234	18	14	14	NUM
ejpam-6118	234	19	references	reference	NOUN
ejpam-6118	234	20	[	[	X
ejpam-6118	234	21	1	1	X
ejpam-6118	234	22	]	]	PUNCT
ejpam-6118	234	23	s.	s.	PROPN
ejpam-6118	234	24	a.	a.	PROPN
ejpam-6118	234	25	lomov	lomov	PROPN
ejpam-6118	234	26	.	.	PUNCT
ejpam-6118	235	1	introduction	introduction	NOUN
ejpam-6118	235	2	to	to	ADP
ejpam-6118	235	3	general	general	ADJ
ejpam-6118	235	4	theory	theory	NOUN
ejpam-6118	235	5	of	of	ADP
ejpam-6118	235	6	singular	singular	PROPN
ejpam-6118	235	7	perturbations	perturbation	NOUN
ejpam-6118	235	8	.	.	PUNCT
ejpam-6118	236	1	american	american	PROPN
ejpam-6118	236	2	mathematical	mathematical	PROPN
ejpam-6118	236	3	society	society	NOUN
ejpam-6118	236	4	,	,	PUNCT
ejpam-6118	236	5	providence	providence	NOUN
ejpam-6118	236	6	,	,	PUNCT
ejpam-6118	236	7	1992	1992	NUM
ejpam-6118	236	8	.	.	PUNCT
ejpam-6118	237	1	[	[	X
ejpam-6118	237	2	2	2	X
ejpam-6118	237	3	]	]	PUNCT
ejpam-6118	237	4	s.	s.	PROPN
ejpam-6118	237	5	a.	a.	PROPN
ejpam-6118	237	6	lomov	lomov	PROPN
ejpam-6118	237	7	and	and	CCONJ
ejpam-6118	237	8	i.	i.	PROPN
ejpam-6118	237	9	s.	s.	PROPN
ejpam-6118	237	10	lomov	lomov	PROPN
ejpam-6118	237	11	.	.	PUNCT
ejpam-6118	238	1	foundations	foundation	NOUN
ejpam-6118	238	2	of	of	ADP
ejpam-6118	238	3	mathematical	mathematical	ADJ
ejpam-6118	238	4	theory	theory	NOUN
ejpam-6118	238	5	of	of	ADP
ejpam-6118	238	6	boundary	boundary	ADJ
ejpam-6118	238	7	layer	layer	NOUN
ejpam-6118	238	8	.	.	PUNCT
ejpam-6118	239	1	izdatelstvo	izdatelstvo	PROPN
ejpam-6118	239	2	msu	msu	PROPN
ejpam-6118	239	3	,	,	PUNCT
ejpam-6118	239	4	2011	2011	NUM
ejpam-6118	239	5	.	.	PUNCT
ejpam-6118	240	1	[	[	X
ejpam-6118	240	2	3	3	NUM
ejpam-6118	240	3	]	]	PUNCT
ejpam-6118	240	4	a.	a.	NOUN
ejpam-6118	240	5	g.	g.	PROPN
ejpam-6118	240	6	eliseev	eliseev	PROPN
ejpam-6118	240	7	.	.	PUNCT
ejpam-6118	241	1	on	on	ADP
ejpam-6118	241	2	the	the	DET
ejpam-6118	241	3	regularized	regularize	VERB
ejpam-6118	241	4	asymptotics	asymptotic	NOUN
ejpam-6118	241	5	of	of	ADP
ejpam-6118	241	6	a	a	DET
ejpam-6118	241	7	solution	solution	NOUN
ejpam-6118	241	8	to	to	ADP
ejpam-6118	241	9	the	the	DET
ejpam-6118	241	10	cauchy	cauchy	ADJ
ejpam-6118	241	11	problem	problem	NOUN
ejpam-6118	241	12	in	in	ADP
ejpam-6118	241	13	the	the	DET
ejpam-6118	241	14	presence	presence	NOUN
ejpam-6118	241	15	of	of	ADP
ejpam-6118	241	16	a	a	DET
ejpam-6118	241	17	weak	weak	ADJ
ejpam-6118	241	18	turning	turning	NOUN
ejpam-6118	241	19	point	point	NOUN
ejpam-6118	241	20	of	of	ADP
ejpam-6118	241	21	the	the	DET
ejpam-6118	241	22	limit	limit	NOUN
ejpam-6118	241	23	operator	operator	NOUN
ejpam-6118	241	24	.	.	PUNCT
ejpam-6118	241	25	axioms	axiom	NOUN
ejpam-6118	241	26	,	,	PUNCT
ejpam-6118	241	27	9:86	9:86	NUM
ejpam-6118	241	28	,	,	PUNCT
ejpam-6118	241	29	2020	2020	NUM
ejpam-6118	241	30	.	.	PUNCT
ejpam-6118	242	1	[	[	X
ejpam-6118	242	2	4	4	NUM
ejpam-6118	242	3	]	]	PUNCT
ejpam-6118	242	4	a.	a.	NOUN
ejpam-6118	242	5	g.	g.	NOUN
ejpam-6118	242	6	eliseev	eliseev	PROPN
ejpam-6118	242	7	and	and	CCONJ
ejpam-6118	242	8	p.	p.	NOUN
ejpam-6118	242	9	v.	v.	CCONJ
ejpam-6118	242	10	kirichenko	kirichenko	PROPN
ejpam-6118	242	11	.	.	PUNCT
ejpam-6118	243	1	a	a	DET
ejpam-6118	243	2	solution	solution	NOUN
ejpam-6118	243	3	of	of	ADP
ejpam-6118	243	4	the	the	DET
ejpam-6118	243	5	singularly	singularly	ADV
ejpam-6118	243	6	perturbed	perturb	VERB
ejpam-6118	243	7	cauchy	cauchy	ADJ
ejpam-6118	243	8	problem	problem	NOUN
ejpam-6118	243	9	in	in	ADP
ejpam-6118	243	10	the	the	DET
ejpam-6118	243	11	presence	presence	NOUN
ejpam-6118	243	12	of	of	ADP
ejpam-6118	243	13	a	a	DET
ejpam-6118	243	14	”	"	PUNCT
ejpam-6118	243	15	weak	weak	ADJ
ejpam-6118	243	16	”	"	PUNCT
ejpam-6118	243	17	turning	turn	VERB
ejpam-6118	243	18	point	point	NOUN
ejpam-6118	243	19	at	at	ADP
ejpam-6118	243	20	the	the	DET
ejpam-6118	243	21	limit	limit	NOUN
ejpam-6118	243	22	operator	operator	NOUN
ejpam-6118	243	23	.	.	PUNCT
ejpam-6118	244	1	scientific	scientific	ADJ
ejpam-6118	244	2	enquiry	enquiry	NOUN
ejpam-6118	244	3	in	in	ADP
ejpam-6118	244	4	the	the	DET
ejpam-6118	244	5	contemporary	contemporary	ADJ
ejpam-6118	244	6	world	world	NOUN
ejpam-6118	244	7	:	:	PUNCT
ejpam-6118	244	8	theoretical	theoretical	ADJ
ejpam-6118	244	9	basics	basic	NOUN
ejpam-6118	244	10	and	and	CCONJ
ejpam-6118	244	11	innovative	innovative	ADJ
ejpam-6118	244	12	approaches	approach	NOUN
ejpam-6118	244	13	(	(	PUNCT
ejpam-6118	244	14	semr	semr	PROPN
ejpam-6118	244	15	)	)	PUNCT
ejpam-6118	244	16	,	,	PUNCT
ejpam-6118	244	17	17:51–60	17:51–60	PROPN
ejpam-6118	244	18	,	,	PUNCT
ejpam-6118	244	19	2020	2020	NUM
ejpam-6118	244	20	.	.	PUNCT
ejpam-6118	245	1	[	[	X
ejpam-6118	245	2	5	5	X
ejpam-6118	245	3	]	]	PUNCT
ejpam-6118	245	4	s.	s.	PROPN
ejpam-6118	245	5	a.	a.	PROPN
ejpam-6118	245	6	lomov	lomov	PROPN
ejpam-6118	245	7	and	and	CCONJ
ejpam-6118	245	8	a.	a.	NOUN
ejpam-6118	245	9	g.	g.	PROPN
ejpam-6118	245	10	eliseev	eliseev	PROPN
ejpam-6118	245	11	.	.	PUNCT
ejpam-6118	246	1	asymptotic	asymptotic	ADJ
ejpam-6118	246	2	integration	integration	NOUN
ejpam-6118	246	3	of	of	ADP
ejpam-6118	246	4	singularly	singularly	ADV
ejpam-6118	246	5	perturbed	perturb	VERB
ejpam-6118	246	6	problems	problem	NOUN
ejpam-6118	246	7	.	.	PUNCT
ejpam-6118	247	1	russian	russian	ADJ
ejpam-6118	247	2	mathematical	mathematical	ADJ
ejpam-6118	247	3	surveys	survey	NOUN
ejpam-6118	247	4	,	,	PUNCT
ejpam-6118	247	5	43:1–63	43:1–63	NUM
ejpam-6118	247	6	,	,	PUNCT
ejpam-6118	247	7	1988	1988	NUM
ejpam-6118	247	8	.	.	PUNCT
ejpam-6118	248	1	[	[	X
ejpam-6118	248	2	6	6	NUM
ejpam-6118	248	3	]	]	PUNCT
ejpam-6118	248	4	a.	a.	NOUN
ejpam-6118	248	5	g.	g.	PROPN
ejpam-6118	248	6	eliseev	eliseev	PROPN
ejpam-6118	248	7	,	,	PUNCT
ejpam-6118	248	8	t.	t.	PROPN
ejpam-6118	248	9	a.	a.	NOUN
ejpam-6118	248	10	ratnikova	ratnikova	PROPN
ejpam-6118	248	11	,	,	PUNCT
ejpam-6118	248	12	and	and	CCONJ
ejpam-6118	248	13	d.	d.	PROPN
ejpam-6118	248	14	a.	a.	PROPN
ejpam-6118	248	15	shaposhnikova	shaposhnikova	PROPN
ejpam-6118	248	16	.	.	PUNCT
ejpam-6118	249	1	on	on	ADP
ejpam-6118	249	2	an	an	DET
ejpam-6118	249	3	initialization	initialization	NOUN
ejpam-6118	249	4	problem	problem	NOUN
ejpam-6118	249	5	.	.	PUNCT
ejpam-6118	250	1	mathematical	mathematical	ADJ
ejpam-6118	250	2	notes	note	NOUN
ejpam-6118	250	3	,	,	PUNCT
ejpam-6118	250	4	108:286–291	108:286–291	NUM
ejpam-6118	250	5	,	,	PUNCT
ejpam-6118	250	6	2020	2020	NUM
ejpam-6118	250	7	.	.	PUNCT
ejpam-6118	251	1	[	[	X
ejpam-6118	251	2	7	7	X
ejpam-6118	251	3	]	]	X
ejpam-6118	251	4	m.	m.	NOUN
ejpam-6118	251	5	i.	i.	PROPN
ejpam-6118	251	6	besova	besova	PROPN
ejpam-6118	252	1	and	and	CCONJ
ejpam-6118	252	2	v.	v.	ADP
ejpam-6118	252	3	i.	i.	PROPN
ejpam-6118	252	4	kachalov	kachalov	PROPN
ejpam-6118	252	5	.	.	PUNCT
ejpam-6118	253	1	on	on	ADP
ejpam-6118	253	2	a	a	DET
ejpam-6118	253	3	nonlinear	nonlinear	ADJ
ejpam-6118	253	4	differential	differential	ADJ
ejpam-6118	253	5	equation	equation	NOUN
ejpam-6118	253	6	in	in	ADP
ejpam-6118	253	7	a	a	DET
ejpam-6118	253	8	banach	banach	NOUN
ejpam-6118	253	9	space	space	NOUN
ejpam-6118	253	10	.	.	PUNCT
ejpam-6118	254	1	scientific	scientific	ADJ
ejpam-6118	254	2	enquiry	enquiry	NOUN
ejpam-6118	254	3	in	in	ADP
ejpam-6118	254	4	the	the	DET
ejpam-6118	254	5	contemporary	contemporary	ADJ
ejpam-6118	254	6	world	world	NOUN
ejpam-6118	254	7	:	:	PUNCT
ejpam-6118	254	8	theoretical	theoretical	ADJ
ejpam-6118	254	9	basics	basic	NOUN
ejpam-6118	254	10	and	and	CCONJ
ejpam-6118	254	11	innovative	innovative	ADJ
ejpam-6118	254	12	approaches	approach	NOUN
ejpam-6118	254	13	(	(	PUNCT
ejpam-6118	254	14	semr	semr	PROPN
ejpam-6118	254	15	)	)	PUNCT
ejpam-6118	254	16	,	,	PUNCT
ejpam-6118	254	17	18:332–337	18:332–337	NUM
ejpam-6118	254	18	,	,	PUNCT
ejpam-6118	254	19	2021	2021	NUM
ejpam-6118	254	20	.	.	PUNCT
ejpam-6118	255	1	[	[	X
ejpam-6118	255	2	8	8	NUM
ejpam-6118	255	3	]	]	PUNCT
ejpam-6118	255	4	m.	m.	NOUN
ejpam-6118	255	5	i.	i.	PROPN
ejpam-6118	255	6	besova	besova	PROPN
ejpam-6118	255	7	and	and	CCONJ
ejpam-6118	255	8	v.	v.	ADP
ejpam-6118	255	9	i.	i.	PROPN
ejpam-6118	255	10	kachalov	kachalov	PROPN
ejpam-6118	255	11	.	.	PUNCT
ejpam-6118	256	1	analytical	analytical	ADJ
ejpam-6118	256	2	aspects	aspect	NOUN
ejpam-6118	256	3	of	of	ADP
ejpam-6118	256	4	the	the	DET
ejpam-6118	256	5	theory	theory	NOUN
ejpam-6118	256	6	of	of	ADP
ejpam-6118	256	7	tikhonov	tikhonov	NOUN
ejpam-6118	256	8	systems	system	NOUN
ejpam-6118	256	9	.	.	PUNCT
ejpam-6118	257	1	mathematics	mathematic	NOUN
ejpam-6118	257	2	,	,	PUNCT
ejpam-6118	257	3	10:72	10:72	NUM
ejpam-6118	257	4	,	,	PUNCT
ejpam-6118	257	5	2022	2022	NUM
ejpam-6118	257	6	.	.	PUNCT
ejpam-6118	258	1	[	[	X
ejpam-6118	258	2	9	9	NUM
ejpam-6118	258	3	]	]	PUNCT
ejpam-6118	258	4	a.	a.	NOUN
ejpam-6118	258	5	d.	d.	PROPN
ejpam-6118	258	6	ryzhikh	ryzhikh	PROPN
ejpam-6118	258	7	.	.	PUNCT
ejpam-6118	259	1	asymptotic	asymptotic	ADJ
ejpam-6118	259	2	solution	solution	NOUN
ejpam-6118	259	3	of	of	ADP
ejpam-6118	259	4	a	a	DET
ejpam-6118	259	5	linear	linear	ADJ
ejpam-6118	259	6	differential	differential	ADJ
ejpam-6118	259	7	equation	equation	NOUN
ejpam-6118	259	8	with	with	ADP
ejpam-6118	259	9	a	a	DET
ejpam-6118	259	10	rapidly	rapidly	ADV
ejpam-6118	259	11	oscillating	oscillate	VERB
ejpam-6118	259	12	coefficient	coefficient	NOUN
ejpam-6118	259	13	.	.	PUNCT
ejpam-6118	260	1	vestnik	vestnik	PROPN
ejpam-6118	260	2	mei	mei	PROPN
ejpam-6118	260	3	/	/	SYM
ejpam-6118	260	4	bulletin	bulletin	NOUN
ejpam-6118	260	5	of	of	ADP
ejpam-6118	260	6	mpei	mpei	PROPN
ejpam-6118	260	7	,	,	PUNCT
ejpam-6118	260	8	357:92–94	357:92–94	NUM
ejpam-6118	260	9	,	,	PUNCT
ejpam-6118	260	10	1978	1978	NUM
ejpam-6118	260	11	.	.	PUNCT
ejpam-6118	261	1	[	[	X
ejpam-6118	261	2	10	10	NUM
ejpam-6118	261	3	]	]	PUNCT
ejpam-6118	261	4	m.	m.	NOUN
ejpam-6118	261	5	a.	a.	PROPN
ejpam-6118	261	6	bobodzhanova	bobodzhanova	PROPN
ejpam-6118	261	7	.	.	PUNCT
ejpam-6118	262	1	substantiation	substantiation	NOUN
ejpam-6118	262	2	of	of	ADP
ejpam-6118	262	3	the	the	DET
ejpam-6118	262	4	regularization	regularization	NOUN
ejpam-6118	262	5	method	method	NOUN
ejpam-6118	262	6	for	for	ADP
ejpam-6118	262	7	nonlinear	nonlinear	ADJ
ejpam-6118	262	8	integro	integro	ADJ
ejpam-6118	262	9	-	-	PUNCT
ejpam-6118	262	10	differential	differential	NOUN
ejpam-6118	262	11	equations	equation	NOUN
ejpam-6118	262	12	with	with	ADP
ejpam-6118	262	13	a	a	DET
ejpam-6118	262	14	zero	zero	NUM
ejpam-6118	262	15	operator	operator	NOUN
ejpam-6118	262	16	of	of	ADP
ejpam-6118	262	17	the	the	DET
ejpam-6118	262	18	differential	differential	ADJ
ejpam-6118	262	19	part	part	NOUN
ejpam-6118	262	20	.	.	PUNCT
ejpam-6118	263	1	vestnik	vestnik	PROPN
ejpam-6118	263	2	mei	mei	PROPN
ejpam-6118	263	3	/	/	SYM
ejpam-6118	263	4	bulletin	bulletin	NOUN
ejpam-6118	263	5	of	of	ADP
ejpam-6118	263	6	mpei	mpei	PROPN
ejpam-6118	263	7	,	,	PUNCT
ejpam-6118	263	8	6:85–95	6:85–95	NUM
ejpam-6118	263	9	,	,	PUNCT
ejpam-6118	263	10	2011	2011	NUM
ejpam-6118	263	11	.	.	PUNCT
ejpam-6118	264	1	[	[	X
ejpam-6118	264	2	11	11	NUM
ejpam-6118	264	3	]	]	PUNCT
ejpam-6118	264	4	m.	m.	NOUN
ejpam-6118	264	5	a.	a.	PROPN
ejpam-6118	264	6	bobodzhanova	bobodzhanova	PROPN
ejpam-6118	264	7	.	.	PUNCT
ejpam-6118	265	1	singularly	singularly	ADV
ejpam-6118	265	2	perturbed	perturb	VERB
ejpam-6118	265	3	integro	integro	ADJ
ejpam-6118	265	4	-	-	PUNCT
ejpam-6118	265	5	differential	differential	NOUN
ejpam-6118	265	6	systems	system	NOUN
ejpam-6118	265	7	with	with	ADP
ejpam-6118	265	8	a	a	DET
ejpam-6118	265	9	zero	zero	NUM
ejpam-6118	265	10	operator	operator	NOUN
ejpam-6118	265	11	of	of	ADP
ejpam-6118	265	12	the	the	DET
ejpam-6118	265	13	differential	differential	ADJ
ejpam-6118	265	14	part	part	NOUN
ejpam-6118	265	15	.	.	PUNCT
ejpam-6118	266	1	vestnik	vestnik	PROPN
ejpam-6118	266	2	mei	mei	PROPN
ejpam-6118	266	3	/	/	SYM
ejpam-6118	266	4	bulletin	bulletin	NOUN
ejpam-6118	266	5	of	of	ADP
ejpam-6118	266	6	mpei	mpei	PROPN
ejpam-6118	266	7	,	,	PUNCT
ejpam-6118	266	8	6:63–72	6:63–72	NUM
ejpam-6118	266	9	,	,	PUNCT
ejpam-6118	266	10	2010	2010	NUM
ejpam-6118	266	11	.	.	PUNCT
ejpam-6118	267	1	[	[	X
ejpam-6118	267	2	12	12	NUM
ejpam-6118	267	3	]	]	PUNCT
ejpam-6118	267	4	b.	b.	PROPN
ejpam-6118	267	5	t.	t.	PROPN
ejpam-6118	267	6	kalimbetov	kalimbetov	PROPN
ejpam-6118	267	7	and	and	CCONJ
ejpam-6118	267	8	v.	v.	PROPN
ejpam-6118	267	9	f.	f.	PROPN
ejpam-6118	267	10	safonov	safonov	PROPN
ejpam-6118	267	11	.	.	PUNCT
ejpam-6118	268	1	integro	integro	ADJ
ejpam-6118	268	2	-	-	PUNCT
ejpam-6118	268	3	differentiated	differentiate	VERB
ejpam-6118	268	4	singularly	singularly	ADV
ejpam-6118	268	5	perturbed	perturb	VERB
ejpam-6118	268	6	equations	equation	NOUN
ejpam-6118	268	7	with	with	ADP
ejpam-6118	268	8	fast	fast	ADJ
ejpam-6118	268	9	oscillating	oscillating	NOUN
ejpam-6118	268	10	coefficients	coefficient	NOUN
ejpam-6118	268	11	.	.	PUNCT
ejpam-6118	269	1	bulletin	bulletin	NOUN
ejpam-6118	269	2	of	of	ADP
ejpam-6118	269	3	the	the	DET
ejpam-6118	269	4	karaganda	karaganda	PROPN
ejpam-6118	269	5	state	state	PROPN
ejpam-6118	269	6	university	university	PROPN
ejpam-6118	269	7	,	,	PUNCT
ejpam-6118	269	8	series	series	NOUN
ejpam-6118	269	9	mathematics	mathematic	NOUN
ejpam-6118	269	10	,	,	PUNCT
ejpam-6118	269	11	94(2):33–47	94(2):33–47	NOUN
ejpam-6118	269	12	,	,	PUNCT
ejpam-6118	269	13	2019	2019	NUM
ejpam-6118	269	14	.	.	PUNCT
ejpam-6118	270	1	[	[	X
ejpam-6118	270	2	13	13	NUM
ejpam-6118	270	3	]	]	X
ejpam-6118	270	4	b.	b.	PROPN
ejpam-6118	270	5	t.	t.	PROPN
ejpam-6118	270	6	kalimbetov	kalimbetov	PROPN
ejpam-6118	270	7	and	and	CCONJ
ejpam-6118	270	8	v.	v.	PROPN
ejpam-6118	270	9	f.	f.	PROPN
ejpam-6118	270	10	safonov	safonov	PROPN
ejpam-6118	270	11	.	.	PUNCT
ejpam-6118	271	1	regularization	regularization	NOUN
ejpam-6118	271	2	method	method	NOUN
ejpam-6118	271	3	for	for	ADP
ejpam-6118	271	4	singularly	singularly	ADV
ejpam-6118	271	5	perturbed	perturb	VERB
ejpam-6118	271	6	integro	integro	ADJ
ejpam-6118	271	7	-	-	PUNCT
ejpam-6118	271	8	differential	differential	NOUN
ejpam-6118	271	9	equations	equation	NOUN
ejpam-6118	271	10	with	with	ADP
ejpam-6118	271	11	rapidly	rapidly	ADV
ejpam-6118	271	12	oscillating	oscillate	VERB
ejpam-6118	271	13	coefficients	coefficient	NOUN
ejpam-6118	271	14	and	and	CCONJ
ejpam-6118	271	15	with	with	ADP
ejpam-6118	271	16	rapidly	rapidly	ADV
ejpam-6118	271	17	changing	change	VERB
ejpam-6118	271	18	kernels	kernel	NOUN
ejpam-6118	271	19	.	.	PUNCT
ejpam-6118	272	1	axioms	axiom	NOUN
ejpam-6118	272	2	,	,	PUNCT
ejpam-6118	272	3	9(4):131	9(4):131	NUM
ejpam-6118	272	4	,	,	PUNCT
ejpam-6118	272	5	2020	2020	NUM
ejpam-6118	272	6	.	.	PUNCT
ejpam-6118	273	1	[	[	X
ejpam-6118	273	2	14	14	NUM
ejpam-6118	273	3	]	]	X
ejpam-6118	273	4	b.	b.	PROPN
ejpam-6118	273	5	t.	t.	PROPN
ejpam-6118	273	6	kalimbetov	kalimbetov	PROPN
ejpam-6118	273	7	and	and	CCONJ
ejpam-6118	273	8	v.	v.	PROPN
ejpam-6118	273	9	f.	f.	PROPN
ejpam-6118	273	10	safonov	safonov	PROPN
ejpam-6118	273	11	.	.	PUNCT
ejpam-6118	274	1	singularly	singularly	ADV
ejpam-6118	274	2	perturbed	perturb	VERB
ejpam-6118	274	3	integro	integro	ADJ
ejpam-6118	274	4	-	-	PUNCT
ejpam-6118	274	5	differential	differential	NOUN
ejpam-6118	274	6	equations	equation	NOUN
ejpam-6118	274	7	with	with	ADP
ejpam-6118	274	8	rapidly	rapidly	ADV
ejpam-6118	274	9	oscillating	oscillate	VERB
ejpam-6118	274	10	coefficients	coefficient	NOUN
ejpam-6118	274	11	and	and	CCONJ
ejpam-6118	274	12	with	with	ADP
ejpam-6118	274	13	rapidly	rapidly	ADV
ejpam-6118	274	14	changing	change	VERB
ejpam-6118	274	15	kernel	kernel	NOUN
ejpam-6118	274	16	in	in	ADP
ejpam-6118	274	17	the	the	DET
ejpam-6118	274	18	case	case	NOUN
ejpam-6118	274	19	of	of	ADP
ejpam-6118	274	20	a	a	DET
ejpam-6118	274	21	multiple	multiple	ADJ
ejpam-6118	274	22	spectrum	spectrum	NOUN
ejpam-6118	274	23	.	.	PUNCT
ejpam-6118	275	1	wseas	wseas	NOUN
ejpam-6118	275	2	transactions	transaction	NOUN
ejpam-6118	275	3	on	on	ADP
ejpam-6118	275	4	mathematics	mathematic	NOUN
ejpam-6118	275	5	,	,	PUNCT
ejpam-6118	275	6	20:84–96	20:84–96	NUM
ejpam-6118	275	7	,	,	PUNCT
ejpam-6118	275	8	2021	2021	NUM
ejpam-6118	275	9	.	.	PUNCT
ejpam-6118	276	1	[	[	X
ejpam-6118	276	2	15	15	NUM
ejpam-6118	276	3	]	]	X
ejpam-6118	276	4	a.	a.	NOUN
ejpam-6118	276	5	a.	a.	NOUN
ejpam-6118	276	6	bobodzhanov	bobodzhanov	PROPN
ejpam-6118	276	7	,	,	PUNCT
ejpam-6118	276	8	b.	b.	PROPN
ejpam-6118	276	9	t.	t.	PROPN
ejpam-6118	276	10	kalimbetov	kalimbetov	PROPN
ejpam-6118	276	11	,	,	PUNCT
ejpam-6118	276	12	and	and	CCONJ
ejpam-6118	276	13	v.	v.	PROPN
ejpam-6118	276	14	f.	f.	PROPN
ejpam-6118	276	15	safonov	safonov	PROPN
ejpam-6118	276	16	.	.	PUNCT
ejpam-6118	277	1	asymptotic	asymptotic	ADJ
ejpam-6118	277	2	solutions	solution	NOUN
ejpam-6118	277	3	of	of	ADP
ejpam-6118	277	4	singularly	singularly	ADV
ejpam-6118	277	5	perturbed	perturb	VERB
ejpam-6118	277	6	integro	integro	ADJ
ejpam-6118	277	7	-	-	PUNCT
ejpam-6118	277	8	differential	differential	NOUN
ejpam-6118	277	9	systems	system	NOUN
ejpam-6118	277	10	with	with	ADP
ejpam-6118	277	11	rapidly	rapidly	ADV
ejpam-6118	277	12	oscillating	oscillate	VERB
ejpam-6118	277	13	coefficients	coefficient	NOUN
ejpam-6118	277	14	in	in	ADP
ejpam-6118	277	15	the	the	DET
ejpam-6118	277	16	case	case	NOUN
ejpam-6118	277	17	of	of	ADP
ejpam-6118	277	18	a	a	DET
ejpam-6118	277	19	simple	simple	ADJ
ejpam-6118	277	20	spectrum	spectrum	NOUN
ejpam-6118	277	21	.	.	PUNCT
ejpam-6118	278	1	aims	aim	VERB
ejpam-6118	278	2	mathematics	mathematic	NOUN
ejpam-6118	278	3	,	,	PUNCT
ejpam-6118	278	4	6(8):8835–8853	6(8):8835–8853	NOUN
ejpam-6118	278	5	,	,	PUNCT
ejpam-6118	278	6	2021	2021	NUM
ejpam-6118	278	7	.	.	PUNCT
ejpam-6118	279	1	[	[	X
ejpam-6118	279	2	16	16	NUM
ejpam-6118	279	3	]	]	PUNCT
ejpam-6118	279	4	a.	a.	NOUN
ejpam-6118	279	5	a.	a.	NOUN
ejpam-6118	279	6	bobodzhanov	bobodzhanov	PROPN
ejpam-6118	279	7	,	,	PUNCT
ejpam-6118	279	8	b.	b.	PROPN
ejpam-6118	279	9	t.	t.	PROPN
ejpam-6118	279	10	kalimbetov	kalimbetov	PROPN
ejpam-6118	279	11	,	,	PUNCT
ejpam-6118	279	12	and	and	CCONJ
ejpam-6118	279	13	v.	v.	PROPN
ejpam-6118	279	14	f.	f.	PROPN
ejpam-6118	279	15	safonov	safonov	PROPN
ejpam-6118	279	16	.	.	PUNCT
ejpam-6118	280	1	generalization	generalization	NOUN
ejpam-6118	280	2	of	of	ADP
ejpam-6118	280	3	the	the	DET
ejpam-6118	280	4	regularization	regularization	NOUN
ejpam-6118	280	5	method	method	NOUN
ejpam-6118	280	6	to	to	PART
ejpam-6118	280	7	singularly	singularly	ADV
ejpam-6118	280	8	perturbed	perturb	VERB
ejpam-6118	280	9	integro	integro	ADJ
ejpam-6118	280	10	-	-	PUNCT
ejpam-6118	280	11	differential	differential	NOUN
ejpam-6118	280	12	systems	system	NOUN
ejpam-6118	280	13	of	of	ADP
ejpam-6118	280	14	equations	equation	NOUN
ejpam-6118	280	15	with	with	ADP
ejpam-6118	280	16	rapidly	rapidly	ADV
ejpam-6118	280	17	oscillating	oscillate	VERB
ejpam-6118	280	18	inhomogeneity	inhomogeneity	NOUN
ejpam-6118	280	19	.	.	PUNCT
ejpam-6118	281	1	axioms	axiom	NOUN
ejpam-6118	281	2	,	,	PUNCT
ejpam-6118	281	3	10(1):40	10(1):40	NUM
ejpam-6118	281	4	,	,	PUNCT
ejpam-6118	281	5	2021	2021	NUM
ejpam-6118	281	6	.	.	PUNCT
ejpam-6118	282	1	a.	a.	PROPN
ejpam-6118	282	2	bobodzhanov	bobodzhanov	PROPN
ejpam-6118	282	3	,	,	PUNCT
ejpam-6118	282	4	b.	b.	PROPN
ejpam-6118	282	5	kalimbetov	kalimbetov	PROPN
ejpam-6118	282	6	,	,	PUNCT
ejpam-6118	282	7	k.	k.	PROPN
ejpam-6118	282	8	turekhanov	turekhanov	PROPN
ejpam-6118	282	9	/	/	SYM
ejpam-6118	282	10	eur	eur	PROPN
ejpam-6118	282	11	.	.	PUNCT
ejpam-6118	283	1	j.	j.	PROPN
ejpam-6118	283	2	pure	pure	PROPN
ejpam-6118	283	3	appl	appl	PROPN
ejpam-6118	283	4	.	.	PROPN
ejpam-6118	283	5	math	math	PROPN
ejpam-6118	283	6	,	,	PUNCT
ejpam-6118	283	7	18	18	NUM
ejpam-6118	283	8	(	(	PUNCT
ejpam-6118	283	9	3	3	NUM
ejpam-6118	283	10	)	)	PUNCT
ejpam-6118	283	11	(	(	PUNCT
ejpam-6118	283	12	2025	2025	NUM
ejpam-6118	283	13	)	)	PUNCT
ejpam-6118	283	14	,	,	PUNCT
ejpam-6118	283	15	6544	6544	NUM
ejpam-6118	283	16	13	13	NUM
ejpam-6118	283	17	of	of	ADP
ejpam-6118	283	18	14	14	NUM
ejpam-6118	283	19	[	[	X
ejpam-6118	283	20	17	17	NUM
ejpam-6118	283	21	]	]	PUNCT
ejpam-6118	283	22	a.	a.	NOUN
ejpam-6118	283	23	a.	a.	NOUN
ejpam-6118	283	24	bobodzhanov	bobodzhanov	PROPN
ejpam-6118	283	25	,	,	PUNCT
ejpam-6118	283	26	b.	b.	PROPN
ejpam-6118	283	27	t.	t.	PROPN
ejpam-6118	283	28	kalimbetov	kalimbetov	PROPN
ejpam-6118	283	29	,	,	PUNCT
ejpam-6118	283	30	and	and	CCONJ
ejpam-6118	283	31	v.	v.	PROPN
ejpam-6118	283	32	f.	f.	PROPN
ejpam-6118	283	33	safonov	safonov	PROPN
ejpam-6118	283	34	.	.	PUNCT
ejpam-6118	284	1	nonlinear	nonlinear	ADJ
ejpam-6118	284	2	singularly	singularly	ADV
ejpam-6118	284	3	perturbed	perturb	VERB
ejpam-6118	284	4	integro	integro	ADJ
ejpam-6118	284	5	-	-	PUNCT
ejpam-6118	284	6	differential	differential	NOUN
ejpam-6118	284	7	equations	equation	NOUN
ejpam-6118	284	8	and	and	CCONJ
ejpam-6118	284	9	regularization	regularization	NOUN
ejpam-6118	284	10	method	method	NOUN
ejpam-6118	284	11	.	.	PUNCT
ejpam-6118	285	1	wseas	wseas	VERB
ejpam-6118	285	2	transactions	transaction	NOUN
ejpam-6118	285	3	on	on	ADP
ejpam-6118	285	4	mathematics	mathematic	NOUN
ejpam-6118	285	5	,	,	PUNCT
ejpam-6118	285	6	19:301–311	19:301–311	NUM
ejpam-6118	285	7	,	,	PUNCT
ejpam-6118	285	8	2020	2020	NUM
ejpam-6118	285	9	.	.	PUNCT
ejpam-6118	286	1	[	[	X
ejpam-6118	286	2	18	18	NUM
ejpam-6118	286	3	]	]	PUNCT
ejpam-6118	286	4	a.	a.	NOUN
ejpam-6118	286	5	a.	a.	NOUN
ejpam-6118	286	6	bobodzhanov	bobodzhanov	PROPN
ejpam-6118	286	7	,	,	PUNCT
ejpam-6118	286	8	b.	b.	PROPN
ejpam-6118	286	9	t.	t.	PROPN
ejpam-6118	286	10	kalimbetov	kalimbetov	PROPN
ejpam-6118	286	11	,	,	PUNCT
ejpam-6118	286	12	and	and	CCONJ
ejpam-6118	286	13	v.	v.	PROPN
ejpam-6118	286	14	f.	f.	PROPN
ejpam-6118	286	15	safonov	safonov	PROPN
ejpam-6118	286	16	.	.	PUNCT
ejpam-6118	287	1	integro	integro	ADJ
ejpam-6118	287	2	-	-	PUNCT
ejpam-6118	287	3	differential	differential	NOUN
ejpam-6118	287	4	problem	problem	NOUN
ejpam-6118	287	5	about	about	ADP
ejpam-6118	287	6	parametric	parametric	ADJ
ejpam-6118	287	7	amplification	amplification	NOUN
ejpam-6118	287	8	and	and	CCONJ
ejpam-6118	287	9	its	its	PRON
ejpam-6118	287	10	asymptotical	asymptotical	ADJ
ejpam-6118	287	11	integration	integration	NOUN
ejpam-6118	287	12	.	.	PUNCT
ejpam-6118	288	1	international	international	ADJ
ejpam-6118	288	2	journal	journal	NOUN
ejpam-6118	288	3	of	of	ADP
ejpam-6118	288	4	applied	apply	VERB
ejpam-6118	288	5	mathematics	mathematic	NOUN
ejpam-6118	288	6	,	,	PUNCT
ejpam-6118	288	7	33(2):331–353	33(2):331–353	PROPN
ejpam-6118	288	8	,	,	PUNCT
ejpam-6118	288	9	2020	2020	NUM
ejpam-6118	288	10	.	.	PUNCT
ejpam-6118	289	1	[	[	X
ejpam-6118	289	2	19	19	NUM
ejpam-6118	289	3	]	]	PUNCT
ejpam-6118	289	4	b.	b.	PROPN
ejpam-6118	289	5	t.	t.	PROPN
ejpam-6118	289	6	kalimbetov	kalimbetov	PROPN
ejpam-6118	289	7	,	,	PUNCT
ejpam-6118	289	8	v.	v.	PROPN
ejpam-6118	289	9	f.	f.	PROPN
ejpam-6118	289	10	safonov	safonov	PROPN
ejpam-6118	289	11	,	,	PUNCT
ejpam-6118	289	12	and	and	CCONJ
ejpam-6118	289	13	o.	o.	PROPN
ejpam-6118	289	14	d.	d.	PROPN
ejpam-6118	289	15	tuychiev	tuychiev	PROPN
ejpam-6118	289	16	.	.	PUNCT
ejpam-6118	290	1	singular	singular	PROPN
ejpam-6118	290	2	perturbed	perturb	VERB
ejpam-6118	290	3	integral	integral	ADJ
ejpam-6118	290	4	equations	equation	NOUN
ejpam-6118	290	5	with	with	ADP
ejpam-6118	290	6	rapidly	rapidly	ADV
ejpam-6118	290	7	oscillation	oscillation	NOUN
ejpam-6118	290	8	coefficients	coefficient	NOUN
ejpam-6118	290	9	.	.	PUNCT
ejpam-6118	291	1	scientific	scientific	ADJ
ejpam-6118	291	2	enquiry	enquiry	NOUN
ejpam-6118	291	3	in	in	ADP
ejpam-6118	291	4	the	the	DET
ejpam-6118	291	5	contemporary	contemporary	ADJ
ejpam-6118	291	6	world	world	NOUN
ejpam-6118	291	7	:	:	PUNCT
ejpam-6118	291	8	theoretical	theoretical	ADJ
ejpam-6118	291	9	basics	basic	NOUN
ejpam-6118	291	10	and	and	CCONJ
ejpam-6118	291	11	innovative	innovative	ADJ
ejpam-6118	291	12	approaches	approach	NOUN
ejpam-6118	291	13	(	(	PUNCT
ejpam-6118	291	14	semr	semr	PROPN
ejpam-6118	291	15	)	)	PUNCT
ejpam-6118	291	16	,	,	PUNCT
ejpam-6118	291	17	17:2068–2083	17:2068–2083	NUM
ejpam-6118	291	18	,	,	PUNCT
ejpam-6118	291	19	2020	2020	NUM
ejpam-6118	291	20	.	.	PUNCT
ejpam-6118	292	1	[	[	X
ejpam-6118	292	2	20	20	NUM
ejpam-6118	292	3	]	]	PUNCT
ejpam-6118	292	4	a.	a.	NOUN
ejpam-6118	292	5	a.	a.	NOUN
ejpam-6118	292	6	bobodzhanov	bobodzhanov	PROPN
ejpam-6118	292	7	,	,	PUNCT
ejpam-6118	292	8	b.	b.	PROPN
ejpam-6118	292	9	t.	t.	PROPN
ejpam-6118	292	10	kalimbetov	kalimbetov	PROPN
ejpam-6118	292	11	,	,	PUNCT
ejpam-6118	292	12	and	and	CCONJ
ejpam-6118	292	13	v.	v.	PROPN
ejpam-6118	292	14	f.	f.	PROPN
ejpam-6118	292	15	safonov	safonov	PROPN
ejpam-6118	292	16	.	.	PUNCT
ejpam-6118	293	1	algorithm	algorithm	NOUN
ejpam-6118	293	2	of	of	ADP
ejpam-6118	293	3	the	the	DET
ejpam-6118	293	4	regularization	regularization	NOUN
ejpam-6118	293	5	method	method	NOUN
ejpam-6118	293	6	for	for	ADP
ejpam-6118	293	7	a	a	DET
ejpam-6118	293	8	nonlinear	nonlinear	ADJ
ejpam-6118	293	9	singularly	singularly	ADV
ejpam-6118	293	10	perturbed	perturb	VERB
ejpam-6118	293	11	integro	integro	ADJ
ejpam-6118	293	12	-	-	PUNCT
ejpam-6118	293	13	differential	differential	NOUN
ejpam-6118	293	14	equation	equation	NOUN
ejpam-6118	293	15	with	with	ADP
ejpam-6118	293	16	rapidly	rapidly	ADV
ejpam-6118	293	17	oscillating	oscillate	VERB
ejpam-6118	293	18	inhomogeneities	inhomogeneity	NOUN
ejpam-6118	293	19	.	.	PUNCT
ejpam-6118	294	1	differential	differential	ADJ
ejpam-6118	294	2	equations	equation	NOUN
ejpam-6118	294	3	,	,	PUNCT
ejpam-6118	294	4	58(3):392–225	58(3):392–225	NUM
ejpam-6118	294	5	,	,	PUNCT
ejpam-6118	294	6	2022	2022	NUM
ejpam-6118	294	7	.	.	PUNCT
ejpam-6118	295	1	[	[	X
ejpam-6118	295	2	21	21	NUM
ejpam-6118	295	3	]	]	PUNCT
ejpam-6118	295	4	a.	a.	NOUN
ejpam-6118	295	5	a.	a.	NOUN
ejpam-6118	295	6	bobodzhanov	bobodzhanov	PROPN
ejpam-6118	295	7	,	,	PUNCT
ejpam-6118	295	8	b.	b.	PROPN
ejpam-6118	295	9	t.	t.	PROPN
ejpam-6118	295	10	kalimbetov	kalimbetov	PROPN
ejpam-6118	295	11	,	,	PUNCT
ejpam-6118	295	12	and	and	CCONJ
ejpam-6118	295	13	v.	v.	PROPN
ejpam-6118	295	14	f.	f.	PROPN
ejpam-6118	295	15	safonov	safonov	PROPN
ejpam-6118	295	16	.	.	PUNCT
ejpam-6118	296	1	algorithm	algorithm	NOUN
ejpam-6118	296	2	of	of	ADP
ejpam-6118	296	3	the	the	DET
ejpam-6118	296	4	regularization	regularization	NOUN
ejpam-6118	296	5	method	method	NOUN
ejpam-6118	296	6	for	for	ADP
ejpam-6118	296	7	a	a	DET
ejpam-6118	296	8	singularly	singularly	ADV
ejpam-6118	296	9	perturbed	perturb	VERB
ejpam-6118	296	10	integro	integro	ADJ
ejpam-6118	296	11	-	-	PUNCT
ejpam-6118	296	12	differential	differential	NOUN
ejpam-6118	296	13	equation	equation	NOUN
ejpam-6118	296	14	with	with	ADP
ejpam-6118	296	15	a	a	DET
ejpam-6118	296	16	rapidly	rapidly	ADV
ejpam-6118	296	17	decreasing	decrease	VERB
ejpam-6118	296	18	kernel	kernel	NOUN
ejpam-6118	296	19	and	and	CCONJ
ejpam-6118	296	20	rapidly	rapidly	ADV
ejpam-6118	296	21	oscillating	oscillate	VERB
ejpam-6118	296	22	inhomogeneity	inhomogeneity	NOUN
ejpam-6118	296	23	.	.	PUNCT
ejpam-6118	297	1	journal	journal	PROPN
ejpam-6118	297	2	of	of	ADP
ejpam-6118	297	3	siberian	siberian	PROPN
ejpam-6118	297	4	federal	federal	PROPN
ejpam-6118	297	5	university	university	PROPN
ejpam-6118	297	6	,	,	PUNCT
ejpam-6118	297	7	mathematics	mathematics	PROPN
ejpam-6118	297	8	and	and	CCONJ
ejpam-6118	297	9	physics	physic	NOUN
ejpam-6118	297	10	,	,	PUNCT
ejpam-6118	297	11	15(2):216–225	15(2):216–225	NUM
ejpam-6118	297	12	,	,	PUNCT
ejpam-6118	297	13	2022	2022	NUM
ejpam-6118	297	14	.	.	PUNCT
ejpam-6118	298	1	[	[	X
ejpam-6118	298	2	22	22	NUM
ejpam-6118	298	3	]	]	X
ejpam-6118	298	4	d.	d.	PROPN
ejpam-6118	298	5	a.	a.	PROPN
ejpam-6118	298	6	bibulova	bibulova	PROPN
ejpam-6118	298	7	,	,	PUNCT
ejpam-6118	298	8	b.	b.	PROPN
ejpam-6118	298	9	t.	t.	PROPN
ejpam-6118	298	10	kalimbetov	kalimbetov	PROPN
ejpam-6118	298	11	,	,	PUNCT
ejpam-6118	298	12	and	and	CCONJ
ejpam-6118	298	13	v.	v.	PROPN
ejpam-6118	298	14	f.	f.	PROPN
ejpam-6118	298	15	safonov	safonov	PROPN
ejpam-6118	298	16	.	.	PUNCT
ejpam-6118	299	1	regularized	regularize	VERB
ejpam-6118	299	2	asymptotic	asymptotic	ADJ
ejpam-6118	299	3	solutions	solution	NOUN
ejpam-6118	299	4	of	of	ADP
ejpam-6118	299	5	a	a	DET
ejpam-6118	299	6	singularly	singularly	ADV
ejpam-6118	299	7	perturbed	perturb	VERB
ejpam-6118	299	8	fredholm	fredholm	NOUN
ejpam-6118	299	9	equation	equation	NOUN
ejpam-6118	299	10	with	with	ADP
ejpam-6118	299	11	a	a	DET
ejpam-6118	299	12	rapidly	rapidly	ADV
ejpam-6118	299	13	varying	vary	VERB
ejpam-6118	299	14	kernel	kernel	NOUN
ejpam-6118	299	15	and	and	CCONJ
ejpam-6118	299	16	a	a	DET
ejpam-6118	299	17	rapidly	rapidly	ADV
ejpam-6118	299	18	oscillating	oscillate	VERB
ejpam-6118	299	19	inhomogeneity	inhomogeneity	NOUN
ejpam-6118	299	20	.	.	PUNCT
ejpam-6118	300	1	axioms	axiom	NOUN
ejpam-6118	300	2	,	,	PUNCT
ejpam-6118	300	3	11:41	11:41	NUM
ejpam-6118	300	4	,	,	PUNCT
ejpam-6118	300	5	2021	2021	NUM
ejpam-6118	300	6	.	.	PUNCT
ejpam-6118	301	1	[	[	X
ejpam-6118	301	2	23	23	NUM
ejpam-6118	301	3	]	]	X
ejpam-6118	301	4	b.	b.	PROPN
ejpam-6118	301	5	t.	t.	PROPN
ejpam-6118	301	6	kalimbetov	kalimbetov	PROPN
ejpam-6118	301	7	,	,	PUNCT
ejpam-6118	301	8	v.	v.	PROPN
ejpam-6118	301	9	f.	f.	PROPN
ejpam-6118	301	10	safonov	safonov	PROPN
ejpam-6118	301	11	,	,	PUNCT
ejpam-6118	301	12	and	and	CCONJ
ejpam-6118	301	13	d.	d.	PROPN
ejpam-6118	301	14	k.	k.	PROPN
ejpam-6118	301	15	zhaidakbayeva	zhaidakbayeva	PROPN
ejpam-6118	301	16	.	.	PUNCT
ejpam-6118	302	1	asymptotic	asymptotic	ADJ
ejpam-6118	302	2	solution	solution	NOUN
ejpam-6118	302	3	of	of	ADP
ejpam-6118	302	4	a	a	DET
ejpam-6118	302	5	singularly	singularly	ADV
ejpam-6118	302	6	perturbed	perturb	VERB
ejpam-6118	302	7	integro	integro	ADJ
ejpam-6118	302	8	-	-	PUNCT
ejpam-6118	302	9	differential	differential	NOUN
ejpam-6118	302	10	equation	equation	NOUN
ejpam-6118	302	11	with	with	ADP
ejpam-6118	302	12	exponential	exponential	ADJ
ejpam-6118	302	13	inhomogeneity	inhomogeneity	NOUN
ejpam-6118	302	14	.	.	PUNCT
ejpam-6118	303	1	axioms	axiom	NOUN
ejpam-6118	303	2	,	,	PUNCT
ejpam-6118	303	3	12(3):241	12(3):241	NUM
ejpam-6118	303	4	,	,	PUNCT
ejpam-6118	303	5	2023	2023	NUM
ejpam-6118	303	6	.	.	PUNCT
ejpam-6118	304	1	[	[	X
ejpam-6118	304	2	24	24	NUM
ejpam-6118	304	3	]	]	PUNCT
ejpam-6118	304	4	e.	e.	PROPN
ejpam-6118	304	5	abylkasymova	abylkasymova	PROPN
ejpam-6118	304	6	,	,	PUNCT
ejpam-6118	304	7	g.	g.	PROPN
ejpam-6118	304	8	beissenova	beissenova	PROPN
ejpam-6118	304	9	,	,	PUNCT
ejpam-6118	304	10	and	and	CCONJ
ejpam-6118	304	11	b.	b.	PROPN
ejpam-6118	304	12	t.	t.	PROPN
ejpam-6118	304	13	kalimbetov	kalimbetov	PROPN
ejpam-6118	304	14	.	.	PUNCT
ejpam-6118	305	1	on	on	ADP
ejpam-6118	305	2	the	the	DET
ejpam-6118	305	3	asymptotic	asymptotic	ADJ
ejpam-6118	305	4	solutions	solution	NOUN
ejpam-6118	305	5	of	of	ADP
ejpam-6118	305	6	singularly	singularly	ADV
ejpam-6118	305	7	perturbed	perturb	VERB
ejpam-6118	305	8	differential	differential	ADJ
ejpam-6118	305	9	systems	system	NOUN
ejpam-6118	305	10	of	of	ADP
ejpam-6118	305	11	fractional	fractional	ADJ
ejpam-6118	305	12	order	order	NOUN
ejpam-6118	305	13	.	.	PUNCT
ejpam-6118	306	1	journal	journal	NOUN
ejpam-6118	306	2	of	of	ADP
ejpam-6118	306	3	mathematics	mathematic	NOUN
ejpam-6118	306	4	and	and	CCONJ
ejpam-6118	306	5	computer	computer	NOUN
ejpam-6118	306	6	science	science	NOUN
ejpam-6118	306	7	,	,	PUNCT
ejpam-6118	306	8	24:165–172	24:165–172	NUM
ejpam-6118	306	9	,	,	PUNCT
ejpam-6118	306	10	2022	2022	NUM
ejpam-6118	306	11	.	.	PUNCT
ejpam-6118	307	1	[	[	X
ejpam-6118	307	2	25	25	NUM
ejpam-6118	307	3	]	]	PUNCT
ejpam-6118	307	4	m.	m.	NOUN
ejpam-6118	307	5	akylbayev	akylbayev	PROPN
ejpam-6118	307	6	,	,	PUNCT
ejpam-6118	307	7	b.	b.	PROPN
ejpam-6118	307	8	t.	t.	PROPN
ejpam-6118	307	9	kalimbetov	kalimbetov	PROPN
ejpam-6118	307	10	,	,	PUNCT
ejpam-6118	307	11	and	and	CCONJ
ejpam-6118	307	12	d.	d.	PROPN
ejpam-6118	307	13	zhaidakbayeva	zhaidakbayeva	PROPN
ejpam-6118	307	14	.	.	PUNCT
ejpam-6118	308	1	asymptotic	asymptotic	ADJ
ejpam-6118	308	2	solutions	solution	NOUN
ejpam-6118	308	3	of	of	ADP
ejpam-6118	308	4	a	a	DET
ejpam-6118	308	5	singularly	singularly	ADV
ejpam-6118	308	6	perturbed	perturb	VERB
ejpam-6118	308	7	integro	integro	ADJ
ejpam-6118	308	8	-	-	PUNCT
ejpam-6118	308	9	differential	differential	ADJ
ejpam-6118	308	10	fractional	fractional	ADJ
ejpam-6118	308	11	order	order	NOUN
ejpam-6118	308	12	derivative	derivative	ADJ
ejpam-6118	308	13	equation	equation	NOUN
ejpam-6118	308	14	with	with	ADP
ejpam-6118	308	15	rapidly	rapidly	ADV
ejpam-6118	308	16	oscillating	oscillate	VERB
ejpam-6118	308	17	coefficients	coefficient	NOUN
ejpam-6118	308	18	.	.	PUNCT
ejpam-6118	309	1	advances	advance	NOUN
ejpam-6118	309	2	in	in	ADP
ejpam-6118	309	3	the	the	DET
ejpam-6118	309	4	theory	theory	NOUN
ejpam-6118	309	5	of	of	ADP
ejpam-6118	309	6	nonlinear	nonlinear	ADJ
ejpam-6118	309	7	analysis	analysis	NOUN
ejpam-6118	309	8	and	and	CCONJ
ejpam-6118	309	9	its	its	PRON
ejpam-6118	309	10	applications	application	NOUN
ejpam-6118	309	11	,	,	PUNCT
ejpam-6118	309	12	7(2):441–454	7(2):441–454	NUM
ejpam-6118	309	13	,	,	PUNCT
ejpam-6118	309	14	2023	2023	NUM
ejpam-6118	309	15	.	.	PUNCT
ejpam-6118	310	1	[	[	X
ejpam-6118	310	2	26	26	NUM
ejpam-6118	310	3	]	]	PUNCT
ejpam-6118	310	4	m.	m.	NOUN
ejpam-6118	310	5	akylbayev	akylbayev	PROPN
ejpam-6118	310	6	,	,	PUNCT
ejpam-6118	310	7	b.	b.	PROPN
ejpam-6118	310	8	t.	t.	PROPN
ejpam-6118	310	9	kalimbetov	kalimbetov	PROPN
ejpam-6118	310	10	,	,	PUNCT
ejpam-6118	310	11	and	and	CCONJ
ejpam-6118	310	12	n.	n.	PROPN
ejpam-6118	310	13	a.	a.	NOUN
ejpam-6118	310	14	pardaeva	pardaeva	PROPN
ejpam-6118	310	15	.	.	PUNCT
ejpam-6118	311	1	influence	influence	NOUN
ejpam-6118	311	2	of	of	ADP
ejpam-6118	311	3	rapidly	rapidly	ADV
ejpam-6118	311	4	oscillating	oscillate	VERB
ejpam-6118	311	5	inhomogeneities	inhomogeneity	NOUN
ejpam-6118	311	6	in	in	ADP
ejpam-6118	311	7	the	the	DET
ejpam-6118	311	8	formation	formation	NOUN
ejpam-6118	311	9	of	of	ADP
ejpam-6118	311	10	additional	additional	ADJ
ejpam-6118	311	11	boundary	boundary	ADJ
ejpam-6118	311	12	layers	layer	NOUN
ejpam-6118	311	13	for	for	ADP
ejpam-6118	311	14	singularly	singularly	ADV
ejpam-6118	311	15	perturbed	perturb	VERB
ejpam-6118	311	16	integro	integro	ADJ
ejpam-6118	311	17	-	-	PUNCT
ejpam-6118	311	18	differential	differential	NOUN
ejpam-6118	311	19	systems	system	NOUN
ejpam-6118	311	20	.	.	PUNCT
ejpam-6118	312	1	advances	advance	NOUN
ejpam-6118	312	2	in	in	ADP
ejpam-6118	312	3	the	the	DET
ejpam-6118	312	4	theory	theory	NOUN
ejpam-6118	312	5	of	of	ADP
ejpam-6118	312	6	nonlinear	nonlinear	ADJ
ejpam-6118	312	7	analysis	analysis	NOUN
ejpam-6118	312	8	and	and	CCONJ
ejpam-6118	312	9	its	its	PRON
ejpam-6118	312	10	applications	application	NOUN
ejpam-6118	312	11	,	,	PUNCT
ejpam-6118	312	12	7(3):1–13	7(3):1–13	NUM
ejpam-6118	312	13	,	,	PUNCT
ejpam-6118	312	14	2023	2023	NUM
ejpam-6118	312	15	.	.	PUNCT
ejpam-6118	313	1	[	[	X
ejpam-6118	313	2	27	27	NUM
ejpam-6118	313	3	]	]	PUNCT
ejpam-6118	313	4	m.	m.	NOUN
ejpam-6118	313	5	a.	a.	PROPN
ejpam-6118	313	6	bobodzhanova	bobodzhanova	PROPN
ejpam-6118	313	7	,	,	PUNCT
ejpam-6118	313	8	b.	b.	PROPN
ejpam-6118	313	9	t.	t.	PROPN
ejpam-6118	313	10	kalimbetov	kalimbetov	PROPN
ejpam-6118	313	11	,	,	PUNCT
ejpam-6118	313	12	and	and	CCONJ
ejpam-6118	313	13	n.	n.	PROPN
ejpam-6118	313	14	a.	a.	NOUN
ejpam-6118	313	15	pardaeva	pardaeva	PROPN
ejpam-6118	313	16	.	.	PUNCT
ejpam-6118	314	1	construction	construction	NOUN
ejpam-6118	314	2	of	of	ADP
ejpam-6118	314	3	a	a	DET
ejpam-6118	314	4	regularized	regularize	VERB
ejpam-6118	314	5	asymptotic	asymptotic	ADJ
ejpam-6118	314	6	solution	solution	NOUN
ejpam-6118	314	7	of	of	ADP
ejpam-6118	314	8	an	an	DET
ejpam-6118	314	9	integro	integro	ADJ
ejpam-6118	314	10	-	-	PUNCT
ejpam-6118	314	11	differential	differential	NOUN
ejpam-6118	314	12	equation	equation	NOUN
ejpam-6118	314	13	with	with	ADP
ejpam-6118	314	14	a	a	DET
ejpam-6118	314	15	rapidly	rapidly	ADV
ejpam-6118	314	16	oscillating	oscillate	VERB
ejpam-6118	314	17	cosine	cosine	NOUN
ejpam-6118	314	18	.	.	PUNCT
ejpam-6118	315	1	journal	journal	PROPN
ejpam-6118	315	2	of	of	ADP
ejpam-6118	315	3	mathematics	mathematic	NOUN
ejpam-6118	315	4	and	and	CCONJ
ejpam-6118	315	5	computer	computer	NOUN
ejpam-6118	315	6	science	science	NOUN
ejpam-6118	315	7	,	,	PUNCT
ejpam-6118	315	8	32(1):74–85	32(1):74–85	NUM
ejpam-6118	315	9	,	,	PUNCT
ejpam-6118	315	10	2024	2024	NUM
ejpam-6118	315	11	.	.	PUNCT
ejpam-6118	316	1	[	[	X
ejpam-6118	316	2	28	28	NUM
ejpam-6118	316	3	]	]	X
ejpam-6118	316	4	m.	m.	NOUN
ejpam-6118	316	5	a.	a.	PROPN
ejpam-6118	316	6	bobodzhanova	bobodzhanova	PROPN
ejpam-6118	316	7	,	,	PUNCT
ejpam-6118	316	8	b.	b.	PROPN
ejpam-6118	316	9	t.	t.	PROPN
ejpam-6118	316	10	kalimbetov	kalimbetov	PROPN
ejpam-6118	316	11	,	,	PUNCT
ejpam-6118	316	12	and	and	CCONJ
ejpam-6118	316	13	g.	g.	PROPN
ejpam-6118	316	14	m.	m.	PROPN
ejpam-6118	316	15	bekmakhanbet	bekmakhanbet	PROPN
ejpam-6118	316	16	.	.	PUNCT
ejpam-6118	317	1	asymptotics	asymptotic	NOUN
ejpam-6118	317	2	of	of	ADP
ejpam-6118	317	3	solutions	solution	NOUN
ejpam-6118	317	4	of	of	ADP
ejpam-6118	317	5	a	a	DET
ejpam-6118	317	6	singularly	singularly	ADV
ejpam-6118	317	7	perturbed	perturb	VERB
ejpam-6118	317	8	integro	integro	ADJ
ejpam-6118	317	9	-	-	PUNCT
ejpam-6118	317	10	differential	differential	ADJ
ejpam-6118	317	11	fractional	fractional	ADJ
ejpam-6118	317	12	-	-	PUNCT
ejpam-6118	317	13	order	order	NOUN
ejpam-6118	317	14	derivative	derivative	ADJ
ejpam-6118	317	15	equation	equation	NOUN
ejpam-6118	317	16	with	with	ADP
ejpam-6118	317	17	rapidly	rapidly	ADV
ejpam-6118	317	18	oscillating	oscillate	VERB
ejpam-6118	317	19	inhomogeneity	inhomogeneity	NOUN
ejpam-6118	317	20	.	.	PUNCT
ejpam-6118	318	1	bulletin	bulletin	NOUN
ejpam-6118	318	2	of	of	ADP
ejpam-6118	318	3	karaganda	karaganda	PROPN
ejpam-6118	318	4	state	state	PROPN
ejpam-6118	318	5	university	university	PROPN
ejpam-6118	318	6	,	,	PUNCT
ejpam-6118	318	7	series	series	NOUN
ejpam-6118	318	8	mathematics	mathematic	NOUN
ejpam-6118	318	9	,	,	PUNCT
ejpam-6118	318	10	104(4):56–67	104(4):56–67	NUM
ejpam-6118	318	11	,	,	PUNCT
ejpam-6118	318	12	2021	2021	NUM
ejpam-6118	318	13	.	.	PUNCT
ejpam-6118	319	1	[	[	X
ejpam-6118	319	2	29	29	NUM
ejpam-6118	319	3	]	]	X
ejpam-6118	319	4	m.	m.	NOUN
ejpam-6118	319	5	benchohra	benchohra	NOUN
ejpam-6118	319	6	,	,	PUNCT
ejpam-6118	319	7	e.	e.	PROPN
ejpam-6118	319	8	karapınar	karapınar	PROPN
ejpam-6118	319	9	,	,	PUNCT
ejpam-6118	319	10	j.	j.	PROPN
ejpam-6118	319	11	lazreg	lazreg	PROPN
ejpam-6118	319	12	,	,	PUNCT
ejpam-6118	319	13	and	and	CCONJ
ejpam-6118	319	14	a.	a.	NOUN
ejpam-6118	319	15	salim	salim	PROPN
ejpam-6118	319	16	.	.	PUNCT
ejpam-6118	320	1	new	new	ADJ
ejpam-6118	320	2	advancements	advancement	NOUN
ejpam-6118	320	3	for	for	ADP
ejpam-6118	320	4	generalized	generalized	ADJ
ejpam-6118	320	5	fractional	fractional	ADJ
ejpam-6118	320	6	derivatives	derivative	NOUN
ejpam-6118	320	7	.	.	PUNCT
ejpam-6118	321	1	springer	springer	NOUN
ejpam-6118	321	2	nature	nature	PROPN
ejpam-6118	321	3	switzerland	switzerland	PROPN
ejpam-6118	321	4	,	,	PUNCT
ejpam-6118	321	5	2023	2023	NUM
ejpam-6118	321	6	.	.	PUNCT
ejpam-6118	322	1	[	[	X
ejpam-6118	322	2	30	30	NUM
ejpam-6118	322	3	]	]	X
ejpam-6118	322	4	h.	h.	PROPN
ejpam-6118	322	5	afshari	afshari	PROPN
ejpam-6118	322	6	,	,	PUNCT
ejpam-6118	322	7	v.	v.	CCONJ
ejpam-6118	322	8	roomi	roomi	NOUN
ejpam-6118	322	9	,	,	PUNCT
ejpam-6118	322	10	and	and	CCONJ
ejpam-6118	322	11	m.	m.	NOUN
ejpam-6118	322	12	nosrati	nosrati	PROPN
ejpam-6118	322	13	.	.	PUNCT
ejpam-6118	323	1	existence	existence	NOUN
ejpam-6118	323	2	and	and	CCONJ
ejpam-6118	323	3	uniqueness	uniqueness	NOUN
ejpam-6118	323	4	for	for	ADP
ejpam-6118	323	5	a	a	DET
ejpam-6118	323	6	fractional	fractional	ADJ
ejpam-6118	323	7	difa	difa	NOUN
ejpam-6118	323	8	.	.	PUNCT
ejpam-6118	324	1	bobodzhanov	bobodzhanov	PROPN
ejpam-6118	324	2	,	,	PUNCT
ejpam-6118	324	3	b.	b.	PROPN
ejpam-6118	324	4	kalimbetov	kalimbetov	PROPN
ejpam-6118	324	5	,	,	PUNCT
ejpam-6118	324	6	k.	k.	PROPN
ejpam-6118	324	7	turekhanov	turekhanov	PROPN
ejpam-6118	324	8	/	/	SYM
ejpam-6118	324	9	eur	eur	PROPN
ejpam-6118	324	10	.	.	PUNCT
ejpam-6118	325	1	j.	j.	PROPN
ejpam-6118	325	2	pure	pure	PROPN
ejpam-6118	325	3	appl	appl	PROPN
ejpam-6118	325	4	.	.	PROPN
ejpam-6118	325	5	math	math	PROPN
ejpam-6118	325	6	,	,	PUNCT
ejpam-6118	325	7	18	18	NUM
ejpam-6118	325	8	(	(	PUNCT
ejpam-6118	325	9	3	3	NUM
ejpam-6118	325	10	)	)	PUNCT
ejpam-6118	325	11	(	(	PUNCT
ejpam-6118	325	12	2025	2025	NUM
ejpam-6118	325	13	)	)	PUNCT
ejpam-6118	325	14	,	,	PUNCT
ejpam-6118	325	15	6544	6544	NUM
ejpam-6118	325	16	14	14	NUM
ejpam-6118	325	17	of	of	ADP
ejpam-6118	325	18	14	14	NUM
ejpam-6118	325	19	ferential	ferential	ADJ
ejpam-6118	325	20	equation	equation	NOUN
ejpam-6118	325	21	involving	involve	VERB
ejpam-6118	325	22	atangana	atangana	PROPN
ejpam-6118	325	23	-	-	PUNCT
ejpam-6118	325	24	baleanu	baleanu	PROPN
ejpam-6118	325	25	derivative	derivative	NOUN
ejpam-6118	325	26	by	by	ADP
ejpam-6118	325	27	using	use	VERB
ejpam-6118	325	28	a	a	DET
ejpam-6118	325	29	new	new	ADJ
ejpam-6118	325	30	contraction	contraction	NOUN
ejpam-6118	325	31	.	.	PUNCT
ejpam-6118	326	1	letters	letter	NOUN
ejpam-6118	326	2	in	in	ADP
ejpam-6118	326	3	nonlinear	nonlinear	ADJ
ejpam-6118	326	4	analysis	analysis	NOUN
ejpam-6118	326	5	and	and	CCONJ
ejpam-6118	326	6	its	its	PRON
ejpam-6118	326	7	application	application	NOUN
ejpam-6118	326	8	,	,	PUNCT
ejpam-6118	326	9	1(2):52–56	1(2):52–56	NUM
ejpam-6118	326	10	,	,	PUNCT
ejpam-6118	326	11	2023	2023	NUM
ejpam-6118	326	12	.	.	PUNCT
ejpam-6118	327	1	[	[	X
ejpam-6118	327	2	31	31	NUM
ejpam-6118	327	3	]	]	PUNCT
ejpam-6118	327	4	h.	h.	PROPN
ejpam-6118	327	5	afshari	afshari	PROPN
ejpam-6118	327	6	and	and	CCONJ
ejpam-6118	327	7	e.	e.	PROPN
ejpam-6118	327	8	karapınar	karapınar	PROPN
ejpam-6118	327	9	.	.	PUNCT
ejpam-6118	328	1	a	a	DET
ejpam-6118	328	2	solution	solution	NOUN
ejpam-6118	328	3	of	of	ADP
ejpam-6118	328	4	the	the	DET
ejpam-6118	328	5	fractional	fractional	ADJ
ejpam-6118	328	6	differential	differential	ADJ
ejpam-6118	328	7	equations	equation	NOUN
ejpam-6118	328	8	in	in	ADP
ejpam-6118	328	9	the	the	DET
ejpam-6118	328	10	setting	setting	NOUN
ejpam-6118	328	11	of	of	ADP
ejpam-6118	328	12	b	b	NOUN
ejpam-6118	328	13	-	-	PUNCT
ejpam-6118	328	14	metric	metric	ADJ
ejpam-6118	328	15	space	space	NOUN
ejpam-6118	328	16	.	.	PUNCT
ejpam-6118	329	1	carpathian	carpathian	ADJ
ejpam-6118	329	2	mathematical	mathematical	ADJ
ejpam-6118	329	3	publications	publication	NOUN
ejpam-6118	329	4	,	,	PUNCT
ejpam-6118	329	5	13(3):764–774	13(3):764–774	NUM
ejpam-6118	329	6	,	,	PUNCT
ejpam-6118	329	7	2021	2021	NUM
ejpam-6118	329	8	.	.	PUNCT
ejpam-6118	330	1	[	[	X
ejpam-6118	330	2	32	32	NUM
ejpam-6118	330	3	]	]	PUNCT
ejpam-6118	330	4	v.	v.	ADP
ejpam-6118	330	5	roomi	roomi	PROPN
ejpam-6118	330	6	and	and	CCONJ
ejpam-6118	330	7	s.	s.	PROPN
ejpam-6118	330	8	kalantari	kalantari	PROPN
ejpam-6118	330	9	.	.	PUNCT
ejpam-6118	331	1	the	the	DET
ejpam-6118	331	2	existence	existence	NOUN
ejpam-6118	331	3	of	of	ADP
ejpam-6118	331	4	the	the	DET
ejpam-6118	331	5	solutions	solution	NOUN
ejpam-6118	331	6	of	of	ADP
ejpam-6118	331	7	some	some	DET
ejpam-6118	331	8	inclusion	inclusion	NOUN
ejpam-6118	331	9	problems	problem	NOUN
ejpam-6118	331	10	involving	involve	VERB
ejpam-6118	331	11	caputo	caputo	PROPN
ejpam-6118	331	12	and	and	CCONJ
ejpam-6118	331	13	hadamard	hadamard	ADJ
ejpam-6118	331	14	fractional	fractional	ADJ
ejpam-6118	331	15	derivatives	derivative	NOUN
ejpam-6118	331	16	by	by	ADP
ejpam-6118	331	17	applying	apply	VERB
ejpam-6118	331	18	some	some	DET
ejpam-6118	331	19	new	new	ADJ
ejpam-6118	331	20	contractions	contraction	NOUN
ejpam-6118	331	21	.	.	PUNCT
ejpam-6118	332	1	journal	journal	PROPN
ejpam-6118	332	2	of	of	ADP
ejpam-6118	332	3	nonlinear	nonlinear	ADJ
ejpam-6118	332	4	and	and	CCONJ
ejpam-6118	332	5	convex	convex	ADJ
ejpam-6118	332	6	analysis	analysis	NOUN
ejpam-6118	332	7	,	,	PUNCT
ejpam-6118	332	8	23(6):1213–1229	23(6):1213–1229	NUM
ejpam-6118	332	9	,	,	PUNCT
ejpam-6118	332	10	2022	2022	NUM
ejpam-6118	332	11	.	.	PUNCT
ejpam-6118	333	1	[	[	X
ejpam-6118	333	2	33	33	NUM
ejpam-6118	333	3	]	]	PUNCT
ejpam-6118	333	4	h.	h.	PROPN
ejpam-6118	333	5	afshari	afshari	PROPN
ejpam-6118	333	6	and	and	CCONJ
ejpam-6118	333	7	a.	a.	NOUN
ejpam-6118	333	8	ahmadkhanlu	ahmadkhanlu	PROPN
ejpam-6118	333	9	.	.	PUNCT
ejpam-6118	334	1	the	the	DET
ejpam-6118	334	2	existence	existence	NOUN
ejpam-6118	334	3	of	of	ADP
ejpam-6118	334	4	positive	positive	ADJ
ejpam-6118	334	5	solutions	solution	NOUN
ejpam-6118	334	6	for	for	ADP
ejpam-6118	334	7	a	a	DET
ejpam-6118	334	8	caputohadamard	caputohadamard	NOUN
ejpam-6118	334	9	boundary	boundary	ADJ
ejpam-6118	334	10	value	value	NOUN
ejpam-6118	334	11	problem	problem	NOUN
ejpam-6118	334	12	with	with	ADP
ejpam-6118	334	13	an	an	DET
ejpam-6118	334	14	integral	integral	ADJ
ejpam-6118	334	15	boundary	boundary	ADJ
ejpam-6118	334	16	condition	condition	NOUN
ejpam-6118	334	17	.	.	PUNCT
ejpam-6118	335	1	advances	advance	NOUN
ejpam-6118	335	2	in	in	ADP
ejpam-6118	335	3	the	the	DET
ejpam-6118	335	4	theory	theory	NOUN
ejpam-6118	335	5	of	of	ADP
ejpam-6118	335	6	nonlinear	nonlinear	ADJ
ejpam-6118	335	7	analysis	analysis	NOUN
ejpam-6118	335	8	and	and	CCONJ
ejpam-6118	335	9	its	its	PRON
ejpam-6118	335	10	application	application	NOUN
ejpam-6118	335	11	,	,	PUNCT
ejpam-6118	335	12	7(5):155–164	7(5):155–164	NOUN
ejpam-6118	335	13	,	,	PUNCT
ejpam-6118	335	14	2023	2023	NUM
ejpam-6118	335	15	.	.	PUNCT
ejpam-6118	336	1	[	[	X
ejpam-6118	336	2	34	34	NUM
ejpam-6118	336	3	]	]	X
ejpam-6118	336	4	r.	r.	PROPN
ejpam-6118	336	5	khalil	khalil	PROPN
ejpam-6118	336	6	.	.	PUNCT
ejpam-6118	337	1	a	a	DET
ejpam-6118	337	2	new	new	ADJ
ejpam-6118	337	3	definition	definition	NOUN
ejpam-6118	337	4	of	of	ADP
ejpam-6118	337	5	fractional	fractional	ADJ
ejpam-6118	337	6	derivative	derivative	NOUN
ejpam-6118	337	7	.	.	PUNCT
ejpam-6118	338	1	journal	journal	PROPN
ejpam-6118	338	2	of	of	ADP
ejpam-6118	338	3	computational	computational	ADJ
ejpam-6118	338	4	and	and	CCONJ
ejpam-6118	338	5	applied	applied	ADJ
ejpam-6118	338	6	mathematics	mathematic	NOUN
ejpam-6118	338	7	,	,	PUNCT
ejpam-6118	338	8	264:65–70	264:65–70	NUM
ejpam-6118	338	9	,	,	PUNCT
ejpam-6118	338	10	2014	2014	NUM
ejpam-6118	338	11	.	.	PUNCT
ejpam-6118	339	1	[	[	X
ejpam-6118	339	2	35	35	NUM
ejpam-6118	339	3	]	]	X
ejpam-6118	339	4	v.	v.	PROPN
ejpam-6118	339	5	f.	f.	PROPN
ejpam-6118	339	6	safonov	safonov	PROPN
ejpam-6118	339	7	and	and	CCONJ
ejpam-6118	339	8	a.	a.	NOUN
ejpam-6118	339	9	a.	a.	NOUN
ejpam-6118	339	10	bobodzhanov	bobodzhanov	PROPN
ejpam-6118	339	11	.	.	PUNCT
ejpam-6118	340	1	course	course	NOUN
ejpam-6118	340	2	of	of	ADP
ejpam-6118	340	3	higher	high	ADJ
ejpam-6118	340	4	mathematics	mathematic	NOUN
ejpam-6118	340	5	.	.	PUNCT
ejpam-6118	341	1	singularly	singularly	ADV
ejpam-6118	341	2	perturbed	perturb	VERB
ejpam-6118	341	3	equations	equation	NOUN
ejpam-6118	341	4	and	and	CCONJ
ejpam-6118	341	5	the	the	DET
ejpam-6118	341	6	regularization	regularization	NOUN
ejpam-6118	341	7	method	method	NOUN
ejpam-6118	341	8	.	.	PUNCT
ejpam-6118	342	1	publishing	publish	VERB
ejpam-6118	342	2	house	house	PROPN
ejpam-6118	342	3	mpei	mpei	PROPN
ejpam-6118	342	4	,	,	PUNCT
ejpam-6118	342	5	moscow	moscow	PROPN
ejpam-6118	342	6	,	,	PUNCT
ejpam-6118	342	7	2012	2012	NUM
ejpam-6118	342	8	.	.	PUNCT
ejpam-6118	343	1	[	[	X
ejpam-6118	343	2	36	36	NUM
ejpam-6118	343	3	]	]	PUNCT
ejpam-6118	343	4	a.	a.	NOUN
ejpam-6118	343	5	a.	a.	NOUN
ejpam-6118	343	6	bobodzhanov	bobodzhanov	PROPN
ejpam-6118	343	7	,	,	PUNCT
ejpam-6118	343	8	b.	b.	PROPN
ejpam-6118	343	9	t.	t.	PROPN
ejpam-6118	343	10	kalimbetov	kalimbetov	PROPN
ejpam-6118	343	11	,	,	PUNCT
ejpam-6118	343	12	and	and	CCONJ
ejpam-6118	343	13	v.	v.	PROPN
ejpam-6118	343	14	f.	f.	PROPN
ejpam-6118	343	15	safonov	safonov	PROPN
ejpam-6118	343	16	.	.	PUNCT
ejpam-6118	344	1	the	the	DET
ejpam-6118	344	2	regularization	regularization	NOUN
ejpam-6118	344	3	method	method	NOUN
ejpam-6118	344	4	for	for	ADP
ejpam-6118	344	5	singularly	singularly	ADV
ejpam-6118	344	6	perturbed	perturb	VERB
ejpam-6118	344	7	problems	problem	NOUN
ejpam-6118	344	8	with	with	ADP
ejpam-6118	344	9	rapidly	rapidly	ADV
ejpam-6118	344	10	oscillating	oscillate	VERB
ejpam-6118	344	11	coefficients	coefficient	NOUN
ejpam-6118	344	12	.	.	PUNCT
ejpam-6118	345	1	alem	alem	PROPN
ejpam-6118	345	2	,	,	PUNCT
ejpam-6118	345	3	shymkent	shymkent	NOUN
ejpam-6118	345	4	,	,	PUNCT
ejpam-6118	345	5	2020	2020	NUM
ejpam-6118	345	6	.	.	PUNCT