id	sid	tid	token	lemma	pos
ejpam-3071	1	1	european	european	PROPN
ejpam-3071	1	2	journal	journal	PROPN
ejpam-3071	1	3	of	of	ADP
ejpam-3071	1	4	pure	pure	ADJ
ejpam-3071	1	5	and	and	CCONJ
ejpam-3071	1	6	applied	apply	VERB
ejpam-3071	1	7	mathematics	mathematic	NOUN
ejpam-3071	1	8	vol	vol	NOUN
ejpam-3071	1	9	.	.	PROPN
ejpam-3071	2	1	10	10	NUM
ejpam-3071	2	2	,	,	PUNCT
ejpam-3071	2	3	no	no	INTJ
ejpam-3071	2	4	.	.	NOUN
ejpam-3071	2	5	5	5	NUM
ejpam-3071	2	6	,	,	PUNCT
ejpam-3071	2	7	2017	2017	NUM
ejpam-3071	2	8	,	,	PUNCT
ejpam-3071	2	9	1078	1078	NUM
ejpam-3071	2	10	-	-	SYM
ejpam-3071	2	11	1091	1091	NUM
ejpam-3071	2	12	issn	issn	PROPN
ejpam-3071	2	13	1307	1307	NUM
ejpam-3071	2	14	-	-	SYM
ejpam-3071	2	15	5543	5543	NUM
ejpam-3071	2	16	–	–	PUNCT
ejpam-3071	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3071	2	18	published	publish	VERB
ejpam-3071	2	19	by	by	ADP
ejpam-3071	2	20	new	new	PROPN
ejpam-3071	2	21	york	york	PROPN
ejpam-3071	2	22	business	business	PROPN
ejpam-3071	2	23	global	global	PROPN
ejpam-3071	2	24	the	the	DET
ejpam-3071	2	25	study	study	NOUN
ejpam-3071	2	26	of	of	ADP
ejpam-3071	2	27	multidimensional	multidimensional	ADJ
ejpam-3071	2	28	mixed	mixed	ADJ
ejpam-3071	2	29	problem	problem	NOUN
ejpam-3071	2	30	for	for	ADP
ejpam-3071	2	31	one	one	NUM
ejpam-3071	2	32	class	class	NOUN
ejpam-3071	2	33	of	of	ADP
ejpam-3071	2	34	third	third	ADJ
ejpam-3071	2	35	order	order	NOUN
ejpam-3071	2	36	semilinear	semilinear	PROPN
ejpam-3071	2	37	psevdohyperbolic	psevdohyperbolic	ADJ
ejpam-3071	2	38	equations	equation	NOUN
ejpam-3071	2	39	samed	same	VERB
ejpam-3071	2	40	j.aliyev1∗	j.aliyev1∗	NOUN
ejpam-3071	2	41	,	,	PUNCT
ejpam-3071	2	42	arzu	arzu	VERB
ejpam-3071	2	43	g.aliyeva2	g.aliyeva2	PROPN
ejpam-3071	2	44	1	1	NUM
ejpam-3071	2	45	department	department	NOUN
ejpam-3071	2	46	of	of	ADP
ejpam-3071	2	47	mechanics	mechanic	NOUN
ejpam-3071	2	48	and	and	CCONJ
ejpam-3071	2	49	mathematics	mathematic	NOUN
ejpam-3071	2	50	,	,	PUNCT
ejpam-3071	2	51	baku	baku	PROPN
ejpam-3071	2	52	state	state	PROPN
ejpam-3071	2	53	university	university	PROPN
ejpam-3071	2	54	,	,	PUNCT
ejpam-3071	2	55	az1148	az1148	PROPN
ejpam-3071	2	56	baku	baku	PROPN
ejpam-3071	2	57	,	,	PUNCT
ejpam-3071	2	58	azerbaijan	azerbaijan	PROPN
ejpam-3071	2	59	2	2	NUM
ejpam-3071	2	60	department	department	NOUN
ejpam-3071	2	61	of	of	ADP
ejpam-3071	2	62	differential	differential	ADJ
ejpam-3071	2	63	equations	equation	NOUN
ejpam-3071	2	64	,	,	PUNCT
ejpam-3071	2	65	institute	institute	NOUN
ejpam-3071	2	66	of	of	ADP
ejpam-3071	2	67	mathematics	mathematics	PROPN
ejpam-3071	2	68	and	and	CCONJ
ejpam-3071	2	69	mechanics	mechanic	NOUN
ejpam-3071	2	70	,	,	PUNCT
ejpam-3071	2	71	azerbaijan	azerbaijan	PROPN
ejpam-3071	2	72	national	national	PROPN
ejpam-3071	2	73	academy	academy	PROPN
ejpam-3071	2	74	of	of	ADP
ejpam-3071	2	75	sciences	sciences	PROPN
ejpam-3071	2	76	,	,	PUNCT
ejpam-3071	2	77	az1141	az1141	PROPN
ejpam-3071	2	78	,	,	PUNCT
ejpam-3071	2	79	baku	baku	PROPN
ejpam-3071	2	80	,	,	PUNCT
ejpam-3071	2	81	azerbaijan	azerbaijan	PROPN
ejpam-3071	2	82	.	.	PROPN
ejpam-3071	3	1	abstract	abstract	PROPN
ejpam-3071	3	2	.	.	PUNCT
ejpam-3071	4	1	this	this	DET
ejpam-3071	4	2	work	work	NOUN
ejpam-3071	4	3	is	be	AUX
ejpam-3071	4	4	dedicated	dedicate	VERB
ejpam-3071	4	5	to	to	ADP
ejpam-3071	4	6	the	the	DET
ejpam-3071	4	7	study	study	NOUN
ejpam-3071	4	8	of	of	ADP
ejpam-3071	4	9	existence	existence	NOUN
ejpam-3071	4	10	in	in	ADP
ejpam-3071	4	11	small	small	ADJ
ejpam-3071	4	12	of	of	ADP
ejpam-3071	4	13	classical	classical	ADJ
ejpam-3071	4	14	solution	solution	NOUN
ejpam-3071	4	15	of	of	ADP
ejpam-3071	4	16	multidimensional	multidimensional	ADJ
ejpam-3071	4	17	mixed	mixed	ADJ
ejpam-3071	4	18	problem	problem	NOUN
ejpam-3071	4	19	for	for	ADP
ejpam-3071	4	20	one	one	NUM
ejpam-3071	4	21	class	class	NOUN
ejpam-3071	4	22	of	of	ADP
ejpam-3071	4	23	third	third	ADJ
ejpam-3071	4	24	order	order	NOUN
ejpam-3071	4	25	semilinear	semilinear	PROPN
ejpam-3071	4	26	psevdohyperbolic	psevdohyperbolic	ADJ
ejpam-3071	4	27	equations	equation	NOUN
ejpam-3071	4	28	.	.	PUNCT
ejpam-3071	5	1	conception	conception	NOUN
ejpam-3071	5	2	of	of	ADP
ejpam-3071	5	3	classical	classical	ADJ
ejpam-3071	5	4	solution	solution	NOUN
ejpam-3071	5	5	for	for	ADP
ejpam-3071	5	6	mixed	mixed	ADJ
ejpam-3071	5	7	problem	problem	NOUN
ejpam-3071	5	8	under	under	ADP
ejpam-3071	5	9	consideration	consideration	NOUN
ejpam-3071	5	10	is	be	AUX
ejpam-3071	5	11	introduced	introduce	VERB
ejpam-3071	5	12	.	.	PUNCT
ejpam-3071	6	1	after	after	ADP
ejpam-3071	6	2	applying	apply	VERB
ejpam-3071	6	3	fourier	fourier	NOUN
ejpam-3071	6	4	method	method	NOUN
ejpam-3071	6	5	,	,	PUNCT
ejpam-3071	6	6	the	the	DET
ejpam-3071	6	7	solution	solution	NOUN
ejpam-3071	6	8	of	of	ADP
ejpam-3071	6	9	original	original	ADJ
ejpam-3071	6	10	problem	problem	NOUN
ejpam-3071	6	11	is	be	AUX
ejpam-3071	6	12	reduced	reduce	VERB
ejpam-3071	6	13	to	to	ADP
ejpam-3071	6	14	the	the	DET
ejpam-3071	6	15	solution	solution	NOUN
ejpam-3071	6	16	of	of	ADP
ejpam-3071	6	17	some	some	DET
ejpam-3071	6	18	countable	countable	ADJ
ejpam-3071	6	19	system	system	NOUN
ejpam-3071	6	20	of	of	ADP
ejpam-3071	6	21	nonlinear	nonlinear	ADJ
ejpam-3071	6	22	inteqro	inteqro	NOUN
ejpam-3071	6	23	-	-	PUNCT
ejpam-3071	6	24	differential	differential	NOUN
ejpam-3071	6	25	equations	equation	NOUN
ejpam-3071	6	26	in	in	ADP
ejpam-3071	6	27	unknown	unknown	ADJ
ejpam-3071	6	28	fourier	fourier	ADJ
ejpam-3071	6	29	coefficients	coefficient	NOUN
ejpam-3071	6	30	of	of	ADP
ejpam-3071	6	31	the	the	DET
ejpam-3071	6	32	sought	seek	VERB
ejpam-3071	6	33	solution	solution	NOUN
ejpam-3071	6	34	.	.	PUNCT
ejpam-3071	7	1	besides	besides	SCONJ
ejpam-3071	7	2	,	,	PUNCT
ejpam-3071	7	3	existence	existence	NOUN
ejpam-3071	7	4	theorem	theorem	VERB
ejpam-3071	7	5	in	in	ADP
ejpam-3071	7	6	small	small	ADJ
ejpam-3071	7	7	of	of	ADP
ejpam-3071	7	8	classical	classical	ADJ
ejpam-3071	7	9	solution	solution	NOUN
ejpam-3071	7	10	of	of	ADP
ejpam-3071	7	11	the	the	DET
ejpam-3071	7	12	mixed	mixed	ADJ
ejpam-3071	7	13	problem	problem	NOUN
ejpam-3071	7	14	is	be	AUX
ejpam-3071	7	15	proved	prove	VERB
ejpam-3071	7	16	by	by	ADP
ejpam-3071	7	17	contracted	contract	VERB
ejpam-3071	7	18	mappings	mapping	NOUN
ejpam-3071	7	19	principle	principle	NOUN
ejpam-3071	7	20	.	.	PUNCT
ejpam-3071	8	1	2010	2010	NUM
ejpam-3071	8	2	mathematics	mathematic	NOUN
ejpam-3071	8	3	subject	subject	NOUN
ejpam-3071	8	4	classifications	classification	NOUN
ejpam-3071	8	5	:	:	PUNCT
ejpam-3071	8	6	35l76	35l76	NUM
ejpam-3071	8	7	,	,	PUNCT
ejpam-3071	8	8	35l82	35l82	NUM
ejpam-3071	8	9	.	.	PUNCT
ejpam-3071	9	1	key	key	ADJ
ejpam-3071	9	2	words	word	NOUN
ejpam-3071	9	3	and	and	CCONJ
ejpam-3071	9	4	phrases	phrase	NOUN
ejpam-3071	9	5	:	:	PUNCT
ejpam-3071	9	6	semilinear	semilinear	ADJ
ejpam-3071	9	7	,	,	PUNCT
ejpam-3071	9	8	psevdohyperbolic	psevdohyperbolic	ADJ
ejpam-3071	9	9	equations	equation	NOUN
ejpam-3071	9	10	,	,	PUNCT
ejpam-3071	9	11	mixed	mixed	ADJ
ejpam-3071	9	12	problem	problem	NOUN
ejpam-3071	9	13	,	,	PUNCT
ejpam-3071	9	14	classical	classical	ADJ
ejpam-3071	9	15	solution	solution	NOUN
ejpam-3071	9	16	.	.	PUNCT
ejpam-3071	10	1	1	1	X
ejpam-3071	10	2	.	.	X
ejpam-3071	10	3	introduction	introduction	NOUN
ejpam-3071	10	4	this	this	DET
ejpam-3071	10	5	work	work	NOUN
ejpam-3071	10	6	is	be	AUX
ejpam-3071	10	7	dedicated	dedicate	VERB
ejpam-3071	10	8	to	to	ADP
ejpam-3071	10	9	the	the	DET
ejpam-3071	10	10	study	study	NOUN
ejpam-3071	10	11	existence	existence	NOUN
ejpam-3071	10	12	of	of	ADP
ejpam-3071	10	13	classical	classical	ADJ
ejpam-3071	10	14	solution	solution	NOUN
ejpam-3071	10	15	for	for	ADP
ejpam-3071	10	16	the	the	DET
ejpam-3071	10	17	following	follow	VERB
ejpam-3071	10	18	multidimensional	multidimensional	ADJ
ejpam-3071	10	19	mixed	mixed	ADJ
ejpam-3071	10	20	problem	problem	NOUN
ejpam-3071	10	21	:	:	PUNCT
ejpam-3071	10	22	∂2u(t	∂2u(t	NUM
ejpam-3071	10	23	,	,	PUNCT
ejpam-3071	10	24	x	x	X
ejpam-3071	10	25	)	)	PUNCT
ejpam-3071	10	26	∂t2	∂t2	NOUN
ejpam-3071	10	27	−	−	PROPN
ejpam-3071	10	28	∂	∂	NOUN
ejpam-3071	10	29	∂t	∂t	PROPN
ejpam-3071	10	30	(	(	PUNCT
ejpam-3071	10	31	l(u(t	l(u(t	PROPN
ejpam-3071	10	32	,	,	PUNCT
ejpam-3071	10	33	x	x	NOUN
ejpam-3071	10	34	)	)	PUNCT
ejpam-3071	10	35	)	)	PUNCT
ejpam-3071	10	36	)	)	PUNCT
ejpam-3071	11	1	=	=	PUNCT
ejpam-3071	11	2	=	=	SYM
ejpam-3071	11	3	f	f	PROPN
ejpam-3071	11	4	(	(	PUNCT
ejpam-3071	11	5	t	t	PROPN
ejpam-3071	11	6	,	,	PUNCT
ejpam-3071	11	7	x	x	NOUN
ejpam-3071	11	8	,	,	PUNCT
ejpam-3071	11	9	u(t	u(t	NOUN
ejpam-3071	11	10	,	,	PUNCT
ejpam-3071	11	11	x	x	NOUN
ejpam-3071	11	12	)	)	PUNCT
ejpam-3071	11	13	,	,	PUNCT
ejpam-3071	11	14	ut(t	ut(t	PROPN
ejpam-3071	11	15	,	,	PUNCT
ejpam-3071	11	16	x),ou(t	x),ou(t	PROPN
ejpam-3071	11	17	,	,	PUNCT
ejpam-3071	11	18	x),out(t	x),out(t	PROPN
ejpam-3071	11	19	,	,	PUNCT
ejpam-3071	11	20	x),o2u(t	x),o2u(t	X
ejpam-3071	11	21	,	,	PUNCT
ejpam-3071	11	22	x	x	NOUN
ejpam-3071	11	23	)	)	PUNCT
ejpam-3071	11	24	)	)	PUNCT
ejpam-3071	11	25	(	(	PUNCT
ejpam-3071	11	26	t	t	PROPN
ejpam-3071	11	27	∈	∈	PROPN
ejpam-3071	12	1	[	[	X
ejpam-3071	12	2	0	0	NUM
ejpam-3071	12	3	,	,	PUNCT
ejpam-3071	12	4	t	t	X
ejpam-3071	12	5	]	]	PUNCT
ejpam-3071	12	6	,	,	PUNCT
ejpam-3071	12	7	x	x	SYM
ejpam-3071	12	8	∈	∈	PROPN
ejpam-3071	12	9	ω	ω	NUM
ejpam-3071	12	10	)	)	PUNCT
ejpam-3071	12	11	,	,	PUNCT
ejpam-3071	12	12	(	(	PUNCT
ejpam-3071	12	13	1	1	X
ejpam-3071	12	14	)	)	PUNCT
ejpam-3071	12	15	u(0	u(0	NOUN
ejpam-3071	12	16	,	,	PUNCT
ejpam-3071	12	17	x	x	NOUN
ejpam-3071	12	18	)	)	PUNCT
ejpam-3071	12	19	=	=	SYM
ejpam-3071	12	20	ϕ(x	ϕ(x	PROPN
ejpam-3071	12	21	)	)	PUNCT
ejpam-3071	12	22	(	(	PUNCT
ejpam-3071	12	23	x	x	SYM
ejpam-3071	12	24	∈	∈	PROPN
ejpam-3071	12	25	ω	ω	NUM
ejpam-3071	12	26	)	)	PUNCT
ejpam-3071	12	27	,	,	PUNCT
ejpam-3071	12	28	ut(0	ut(0	PROPN
ejpam-3071	12	29	,	,	PUNCT
ejpam-3071	12	30	x	x	NOUN
ejpam-3071	12	31	)	)	PUNCT
ejpam-3071	12	32	=	=	SYM
ejpam-3071	12	33	ψ(x	ψ(x	NOUN
ejpam-3071	12	34	)	)	PUNCT
ejpam-3071	12	35	(	(	PUNCT
ejpam-3071	12	36	x	x	SYM
ejpam-3071	12	37	∈	∈	PROPN
ejpam-3071	12	38	ω	ω	NUM
ejpam-3071	12	39	)	)	PUNCT
ejpam-3071	12	40	,	,	PUNCT
ejpam-3071	12	41	(	(	PUNCT
ejpam-3071	12	42	2	2	X
ejpam-3071	12	43	)	)	PUNCT
ejpam-3071	12	44	u(t	u(t	NOUN
ejpam-3071	12	45	,	,	PUNCT
ejpam-3071	12	46	x)|γ	x)|γ	X
ejpam-3071	12	47	=	=	SYM
ejpam-3071	12	48	0	0	PROPN
ejpam-3071	12	49	,	,	PUNCT
ejpam-3071	12	50	(	(	PUNCT
ejpam-3071	12	51	3	3	X
ejpam-3071	12	52	)	)	PUNCT
ejpam-3071	12	53	∗corresponding	∗corresponde	VERB
ejpam-3071	12	54	author	author	NOUN
ejpam-3071	12	55	.	.	PUNCT
ejpam-3071	13	1	email	email	NOUN
ejpam-3071	13	2	addresses	address	NOUN
ejpam-3071	13	3	:	:	PUNCT
ejpam-3071	13	4	samed59@bk.ru	samed59@bk.ru	PROPN
ejpam-3071	13	5	(	(	PUNCT
ejpam-3071	13	6	samed	samed	PROPN
ejpam-3071	13	7	j.aliyev	j.aliyev	NOUN
ejpam-3071	13	8	)	)	PUNCT
ejpam-3071	13	9	,	,	PUNCT
ejpam-3071	13	10	arzu.aliyeva@bk.ru	arzu.aliyeva@bk.ru	X
ejpam-3071	13	11	(	(	PUNCT
ejpam-3071	13	12	a.	a.	PROPN
ejpam-3071	13	13	g.	g.	PROPN
ejpam-3071	13	14	aliyeva	aliyeva	PROPN
ejpam-3071	13	15	)	)	PUNCT
ejpam-3071	13	16	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3071	14	1	1078	1078	NUM
ejpam-3071	14	2	c	c	NOUN
ejpam-3071	14	3	©	©	PROPN
ejpam-3071	14	4	2017	2017	NUM
ejpam-3071	14	5	ejpam	ejpam	VERB
ejpam-3071	14	6	all	all	DET
ejpam-3071	14	7	rights	right	NOUN
ejpam-3071	14	8	reserved	reserve	VERB
ejpam-3071	14	9	.	.	PUNCT
ejpam-3071	15	1	s.	s.	PROPN
ejpam-3071	15	2	j.aliyev	j.aliyev	PROPN
ejpam-3071	15	3	,	,	PUNCT
ejpam-3071	15	4	a.	a.	PROPN
ejpam-3071	15	5	g.aliyeva	g.aliyeva	PROPN
ejpam-3071	15	6	/	/	SYM
ejpam-3071	15	7	eur	eur	PROPN
ejpam-3071	15	8	.	.	PUNCT
ejpam-3071	16	1	j.	j.	PROPN
ejpam-3071	16	2	pure	pure	PROPN
ejpam-3071	16	3	appl	appl	PROPN
ejpam-3071	16	4	.	.	PROPN
ejpam-3071	16	5	math	math	PROPN
ejpam-3071	16	6	,	,	PUNCT
ejpam-3071	16	7	10	10	NUM
ejpam-3071	16	8	(	(	PUNCT
ejpam-3071	16	9	5	5	NUM
ejpam-3071	16	10	)	)	PUNCT
ejpam-3071	16	11	(	(	PUNCT
ejpam-3071	16	12	2017	2017	NUM
ejpam-3071	16	13	)	)	PUNCT
ejpam-3071	16	14	,	,	PUNCT
ejpam-3071	16	15	1078	1078	NUM
ejpam-3071	16	16	-	-	SYM
ejpam-3071	16	17	1091	1091	NUM
ejpam-3071	16	18	1079	1079	NUM
ejpam-3071	16	19	where	where	SCONJ
ejpam-3071	16	20	0	0	NUM
ejpam-3071	16	21	<	<	X
ejpam-3071	16	22	t	t	X
ejpam-3071	16	23	<	<	X
ejpam-3071	16	24	+	+	PROPN
ejpam-3071	16	25	∞	∞	NOUN
ejpam-3071	16	26	;	;	PUNCT
ejpam-3071	16	27	x	x	SYM
ejpam-3071	16	28	=	=	SYM
ejpam-3071	16	29	(	(	PUNCT
ejpam-3071	16	30	x1	x1	PROPN
ejpam-3071	16	31	,	,	PUNCT
ejpam-3071	16	32	...	...	PUNCT
ejpam-3071	16	33	xn	xn	PROPN
ejpam-3071	16	34	)	)	PUNCT
ejpam-3071	16	35	,	,	PUNCT
ejpam-3071	16	36	ω	ω	PROPN
ejpam-3071	16	37	is	be	AUX
ejpam-3071	16	38	a	a	DET
ejpam-3071	16	39	bounded	bounded	ADJ
ejpam-3071	16	40	n	n	CCONJ
ejpam-3071	16	41	-dimensional	-dimensional	ADJ
ejpam-3071	16	42	domain	domain	NOUN
ejpam-3071	16	43	with	with	ADP
ejpam-3071	16	44	an	an	DET
ejpam-3071	16	45	enough	enough	ADJ
ejpam-3071	16	46	smooth	smooth	ADJ
ejpam-3071	16	47	boundary	boundary	ADJ
ejpam-3071	16	48	s	s	NOUN
ejpam-3071	16	49	;	;	PUNCT
ejpam-3071	16	50	γ	γ	X
ejpam-3071	16	51	=	=	PUNCT
ejpam-3071	17	1	[	[	X
ejpam-3071	17	2	0	0	NUM
ejpam-3071	17	3	,	,	PUNCT
ejpam-3071	17	4	t	t	X
ejpam-3071	17	5	]	]	X
ejpam-3071	17	6	×	×	PROPN
ejpam-3071	17	7	s	s	X
ejpam-3071	17	8	;	;	PUNCT
ejpam-3071	17	9	l(u(t	l(u(t	PROPN
ejpam-3071	17	10	,	,	PUNCT
ejpam-3071	17	11	x	x	NOUN
ejpam-3071	17	12	)	)	PUNCT
ejpam-3071	17	13	)	)	PUNCT
ejpam-3071	18	1	=	=	PUNCT
ejpam-3071	19	1	n∑	n∑	NOUN
ejpam-3071	19	2	i	i	PRON
ejpam-3071	19	3	,	,	PUNCT
ejpam-3071	19	4	j=1	j=1	PROPN
ejpam-3071	19	5	∂	∂	NUM
ejpam-3071	19	6	∂xi	∂xi	PROPN
ejpam-3071	19	7	(	(	PUNCT
ejpam-3071	19	8	aij(x	aij(x	PROPN
ejpam-3071	19	9	)	)	PUNCT
ejpam-3071	19	10	∂	∂	NUM
ejpam-3071	20	1	∂xj	∂xj	NOUN
ejpam-3071	20	2	)	)	PUNCT
ejpam-3071	21	1	−	−	ADP
ejpam-3071	21	2	a(x	a(x	NOUN
ejpam-3071	21	3	)	)	PUNCT
ejpam-3071	21	4	·	·	PUNCT
ejpam-3071	21	5	u(t	u(t	NOUN
ejpam-3071	21	6	,	,	PUNCT
ejpam-3071	21	7	x	x	NOUN
ejpam-3071	21	8	)	)	PUNCT
ejpam-3071	21	9	,	,	PUNCT
ejpam-3071	21	10	(	(	PUNCT
ejpam-3071	21	11	4	4	X
ejpam-3071	21	12	)	)	PUNCT
ejpam-3071	21	13	functions	function	NOUN
ejpam-3071	21	14	aij(x	aij(x	NOUN
ejpam-3071	21	15	)	)	PUNCT
ejpam-3071	21	16	(	(	PUNCT
ejpam-3071	21	17	i	i	PROPN
ejpam-3071	21	18	,	,	PUNCT
ejpam-3071	21	19	j	j	PROPN
ejpam-3071	21	20	=	=	SYM
ejpam-3071	21	21	1	1	NUM
ejpam-3071	21	22	,	,	PUNCT
ejpam-3071	21	23	n	n	CCONJ
ejpam-3071	21	24	)	)	PUNCT
ejpam-3071	21	25	and	and	CCONJ
ejpam-3071	21	26	a(x	a(x	PROPN
ejpam-3071	21	27	)	)	PUNCT
ejpam-3071	21	28	are	be	AUX
ejpam-3071	21	29	measurable	measurable	ADJ
ejpam-3071	21	30	and	and	CCONJ
ejpam-3071	21	31	bounded	bound	VERB
ejpam-3071	21	32	in	in	ADP
ejpam-3071	21	33	ω	ω	PROPN
ejpam-3071	21	34	and	and	CCONJ
ejpam-3071	21	35	satisfy	satisfy	VERB
ejpam-3071	21	36	in	in	ADP
ejpam-3071	21	37	ω	ω	NUM
ejpam-3071	21	38	the	the	DET
ejpam-3071	21	39	following	following	ADJ
ejpam-3071	21	40	conditions	condition	NOUN
ejpam-3071	21	41	:	:	PUNCT
ejpam-3071	21	42	aij(x	aij(x	X
ejpam-3071	21	43	)	)	PUNCT
ejpam-3071	21	44	=	=	SYM
ejpam-3071	21	45	aji(x	aji(x	PROPN
ejpam-3071	21	46	)	)	PUNCT
ejpam-3071	21	47	,	,	PUNCT
ejpam-3071	21	48	a(x	a(x	PROPN
ejpam-3071	21	49	)	)	PUNCT
ejpam-3071	21	50	≥	≥	NOUN
ejpam-3071	21	51	0	0	NUM
ejpam-3071	21	52	,	,	PUNCT
ejpam-3071	21	53	n∑	n∑	NOUN
ejpam-3071	21	54	i	i	PRON
ejpam-3071	21	55	,	,	PUNCT
ejpam-3071	21	56	j=1	j=1	PROPN
ejpam-3071	21	57	aijξiξj	aijξiξj	PROPN
ejpam-3071	21	58	≥	≥	VERB
ejpam-3071	21	59	α	α	X
ejpam-3071	21	60	·	·	PUNCT
ejpam-3071	22	1	n∑	n∑	NOUN
ejpam-3071	22	2	i=1	i=1	PROPN
ejpam-3071	23	1	ξ2	ξ2	NOUN
ejpam-3071	23	2	i	i	PRON
ejpam-3071	23	3	(	(	PUNCT
ejpam-3071	23	4	α	α	NOUN
ejpam-3071	23	5	=	=	PUNCT
ejpam-3071	23	6	const	const	X
ejpam-3071	23	7	>	>	X
ejpam-3071	23	8	0	0	NUM
ejpam-3071	23	9	)	)	PUNCT
ejpam-3071	23	10	,	,	PUNCT
ejpam-3071	23	11	where	where	SCONJ
ejpam-3071	23	12	ξi	ξi	PROPN
ejpam-3071	23	13	(	(	PUNCT
ejpam-3071	23	14	i	i	NOUN
ejpam-3071	23	15	=	=	NOUN
ejpam-3071	23	16	1	1	NUM
ejpam-3071	23	17	,	,	PUNCT
ejpam-3071	23	18	...	...	PUNCT
ejpam-3071	23	19	,	,	PUNCT
ejpam-3071	23	20	n	n	CCONJ
ejpam-3071	23	21	)	)	PUNCT
ejpam-3071	23	22	are	be	AUX
ejpam-3071	23	23	arbitrary	arbitrary	ADJ
ejpam-3071	23	24	real	real	ADJ
ejpam-3071	23	25	numbers	number	NOUN
ejpam-3071	23	26	;	;	PUNCT
ejpam-3071	23	27	f	f	X
ejpam-3071	23	28	,	,	PUNCT
ejpam-3071	23	29	ϕ	ϕ	PROPN
ejpam-3071	23	30	,	,	PUNCT
ejpam-3071	23	31	ψ	ψ	X
ejpam-3071	23	32	are	be	AUX
ejpam-3071	23	33	the	the	DET
ejpam-3071	23	34	given	give	VERB
ejpam-3071	23	35	functions	function	NOUN
ejpam-3071	23	36	,	,	PUNCT
ejpam-3071	23	37	and	and	CCONJ
ejpam-3071	23	38	u(t	u(t	NOUN
ejpam-3071	23	39	,	,	PUNCT
ejpam-3071	23	40	x	x	X
ejpam-3071	23	41	)	)	PUNCT
ejpam-3071	23	42	is	be	AUX
ejpam-3071	23	43	a	a	DET
ejpam-3071	23	44	sought	seek	VERB
ejpam-3071	23	45	function	function	NOUN
ejpam-3071	23	46	;	;	PUNCT
ejpam-3071	23	47	we	we	PRON
ejpam-3071	23	48	define	define	VERB
ejpam-3071	23	49	the	the	DET
ejpam-3071	23	50	classical	classical	ADJ
ejpam-3071	23	51	solution	solution	NOUN
ejpam-3071	23	52	of	of	ADP
ejpam-3071	23	53	problem	problem	NOUN
ejpam-3071	23	54	(	(	PUNCT
ejpam-3071	23	55	1)-(3	1)-(3	NOUN
ejpam-3071	23	56	)	)	PUNCT
ejpam-3071	23	57	as	as	ADP
ejpam-3071	23	58	a	a	DET
ejpam-3071	23	59	function	function	NOUN
ejpam-3071	23	60	u(t	u(t	NOUN
ejpam-3071	23	61	,	,	PUNCT
ejpam-3071	23	62	x	x	X
ejpam-3071	23	63	)	)	PUNCT
ejpam-3071	23	64	if	if	SCONJ
ejpam-3071	23	65	it	it	PRON
ejpam-3071	23	66	is	be	AUX
ejpam-3071	23	67	continuous	continuous	ADJ
ejpam-3071	23	68	on	on	ADP
ejpam-3071	23	69	domain	domain	NOUN
ejpam-3071	23	70	qt	qt	NOUN
ejpam-3071	23	71	=	=	PUNCT
ejpam-3071	24	1	[	[	X
ejpam-3071	24	2	0	0	NUM
ejpam-3071	24	3	,	,	PUNCT
ejpam-3071	24	4	t	t	PROPN
ejpam-3071	24	5	]	]	PUNCT
ejpam-3071	24	6	×	×	PROPN
ejpam-3071	24	7	ω	ω	X
ejpam-3071	24	8	together	together	ADV
ejpam-3071	24	9	with	with	ADP
ejpam-3071	24	10	the	the	DET
ejpam-3071	24	11	derivatives	derivative	NOUN
ejpam-3071	24	12	ut(t	ut(t	ADV
ejpam-3071	24	13	,	,	PUNCT
ejpam-3071	24	14	x	x	NOUN
ejpam-3071	24	15	)	)	PUNCT
ejpam-3071	24	16	,	,	PUNCT
ejpam-3071	24	17	uxi(t	uxi(t	PROPN
ejpam-3071	24	18	,	,	PUNCT
ejpam-3071	24	19	x	x	X
ejpam-3071	24	20	)	)	PUNCT
ejpam-3071	24	21	(	(	PUNCT
ejpam-3071	24	22	i	i	NOUN
ejpam-3071	24	23	=	=	NOUN
ejpam-3071	24	24	1	1	NUM
ejpam-3071	24	25	,	,	PUNCT
ejpam-3071	24	26	...	...	PUNCT
ejpam-3071	24	27	,	,	PUNCT
ejpam-3071	24	28	n	n	CCONJ
ejpam-3071	24	29	)	)	PUNCT
ejpam-3071	24	30	,	,	PUNCT
ejpam-3071	24	31	utxi(t	utxi(t	ADP
ejpam-3071	24	32	,	,	PUNCT
ejpam-3071	24	33	x	x	PRON
ejpam-3071	24	34	)	)	PUNCT
ejpam-3071	24	35	(	(	PUNCT
ejpam-3071	24	36	i	i	NOUN
ejpam-3071	24	37	=	=	NOUN
ejpam-3071	24	38	1	1	NUM
ejpam-3071	24	39	,	,	PUNCT
ejpam-3071	24	40	...	...	PUNCT
ejpam-3071	24	41	,	,	PUNCT
ejpam-3071	24	42	n	n	CCONJ
ejpam-3071	24	43	)	)	PUNCT
ejpam-3071	24	44	,	,	PUNCT
ejpam-3071	24	45	uxixj	uxixj	PROPN
ejpam-3071	24	46	(	(	PUNCT
ejpam-3071	24	47	t	t	PROPN
ejpam-3071	24	48	,	,	PUNCT
ejpam-3071	24	49	x	x	NOUN
ejpam-3071	24	50	)	)	PUNCT
ejpam-3071	24	51	(	(	PUNCT
ejpam-3071	24	52	i	i	PROPN
ejpam-3071	24	53	,	,	PUNCT
ejpam-3071	24	54	j	j	PROPN
ejpam-3071	24	55	=	=	SYM
ejpam-3071	24	56	1	1	NUM
ejpam-3071	24	57	,	,	PUNCT
ejpam-3071	24	58	...	...	PUNCT
ejpam-3071	24	59	,	,	PUNCT
ejpam-3071	24	60	n	n	CCONJ
ejpam-3071	24	61	)	)	PUNCT
ejpam-3071	24	62	,	,	PUNCT
ejpam-3071	24	63	utt(t	utt(t	PROPN
ejpam-3071	24	64	,	,	PUNCT
ejpam-3071	24	65	x	x	NOUN
ejpam-3071	24	66	)	)	PUNCT
ejpam-3071	24	67	,	,	PUNCT
ejpam-3071	24	68	utxixj	utxixj	ADJ
ejpam-3071	24	69	(	(	PUNCT
ejpam-3071	24	70	t	t	PROPN
ejpam-3071	24	71	,	,	PUNCT
ejpam-3071	24	72	x	x	NOUN
ejpam-3071	24	73	)	)	PUNCT
ejpam-3071	24	74	(	(	PUNCT
ejpam-3071	24	75	i	i	PROPN
ejpam-3071	24	76	,	,	PUNCT
ejpam-3071	24	77	j	j	PROPN
ejpam-3071	24	78	=	=	SYM
ejpam-3071	24	79	1	1	NUM
ejpam-3071	24	80	,	,	PUNCT
ejpam-3071	24	81	...	...	PUNCT
ejpam-3071	24	82	n	n	CCONJ
ejpam-3071	24	83	)	)	PUNCT
ejpam-3071	24	84	,	,	PUNCT
ejpam-3071	24	85	for	for	ADP
ejpam-3071	24	86	which	which	PRON
ejpam-3071	24	87	satisfies	satisfy	VERB
ejpam-3071	24	88	the	the	DET
ejpam-3071	24	89	equation	equation	NOUN
ejpam-3071	24	90	(	(	PUNCT
ejpam-3071	24	91	1	1	NUM
ejpam-3071	24	92	)	)	PUNCT
ejpam-3071	24	93	on	on	ADP
ejpam-3071	24	94	the	the	DET
ejpam-3071	24	95	closed	closed	ADJ
ejpam-3071	24	96	domain	domain	NOUN
ejpam-3071	24	97	qt	qt	NOUN
ejpam-3071	24	98	,	,	PUNCT
ejpam-3071	24	99	initial	initial	ADJ
ejpam-3071	24	100	conditions	condition	NOUN
ejpam-3071	24	101	(	(	PUNCT
ejpam-3071	24	102	2	2	NUM
ejpam-3071	24	103	)	)	PUNCT
ejpam-3071	24	104	on	on	ADP
ejpam-3071	24	105	ω	ω	NUM
ejpam-3071	24	106	and	and	CCONJ
ejpam-3071	24	107	boundary	boundary	ADJ
ejpam-3071	24	108	condition	condition	NOUN
ejpam-3071	24	109	(	(	PUNCT
ejpam-3071	24	110	3	3	NUM
ejpam-3071	24	111	)	)	PUNCT
ejpam-3071	24	112	in	in	ADP
ejpam-3071	24	113	the	the	DET
ejpam-3071	24	114	usual	usual	ADJ
ejpam-3071	24	115	sense	sense	NOUN
ejpam-3071	24	116	.	.	PUNCT
ejpam-3071	25	1	it	it	PRON
ejpam-3071	25	2	must	must	AUX
ejpam-3071	25	3	note	note	VERB
ejpam-3071	25	4	that	that	SCONJ
ejpam-3071	25	5	,	,	PUNCT
ejpam-3071	25	6	many	many	ADJ
ejpam-3071	25	7	problems	problem	NOUN
ejpam-3071	25	8	in	in	ADP
ejpam-3071	25	9	elasticity	elasticity	NOUN
ejpam-3071	25	10	theory	theory	NOUN
ejpam-3071	25	11	,	,	PUNCT
ejpam-3071	25	12	in	in	ADP
ejpam-3071	25	13	particular	particular	ADJ
ejpam-3071	25	14	the	the	DET
ejpam-3071	25	15	problems	problem	NOUN
ejpam-3071	25	16	of	of	ADP
ejpam-3071	25	17	longitudinal	longitudinal	ADJ
ejpam-3071	25	18	vibration	vibration	NOUN
ejpam-3071	25	19	of	of	ADP
ejpam-3071	25	20	the	the	DET
ejpam-3071	25	21	viscoelastic	viscoelastic	ADJ
ejpam-3071	25	22	non	non	ADJ
ejpam-3071	25	23	-	-	ADJ
ejpam-3071	25	24	homogeneous	homogeneous	ADJ
ejpam-3071	25	25	bar	bar	NOUN
ejpam-3071	25	26	,	,	PUNCT
ejpam-3071	25	27	some	some	DET
ejpam-3071	25	28	wave	wave	NOUN
ejpam-3071	25	29	problems	problem	NOUN
ejpam-3071	25	30	for	for	ADP
ejpam-3071	25	31	elastic	elastic	ADJ
ejpam-3071	25	32	-	-	PUNCT
ejpam-3071	25	33	viscidal	viscidal	NOUN
ejpam-3071	25	34	liquid	liquid	NOUN
ejpam-3071	25	35	and	and	CCONJ
ejpam-3071	25	36	etc	etc	X
ejpam-3071	25	37	.	.	X
ejpam-3071	25	38	lead	lead	VERB
ejpam-3071	25	39	to	to	ADP
ejpam-3071	25	40	the	the	DET
ejpam-3071	25	41	problems	problem	NOUN
ejpam-3071	25	42	type	type	NOUN
ejpam-3071	25	43	(	(	PUNCT
ejpam-3071	25	44	1)-(3	1)-(3	NUM
ejpam-3071	25	45	)	)	PUNCT
ejpam-3071	25	46	.	.	PUNCT
ejpam-3071	26	1	in	in	ADP
ejpam-3071	26	2	the	the	DET
ejpam-3071	26	3	works	work	NOUN
ejpam-3071	26	4	[	[	X
ejpam-3071	26	5	4	4	NUM
ejpam-3071	26	6	-	-	SYM
ejpam-3071	26	7	6	6	NUM
ejpam-3071	26	8	]	]	PUNCT
ejpam-3071	26	9	considered	consider	VERB
ejpam-3071	26	10	a	a	DET
ejpam-3071	26	11	special	special	ADJ
ejpam-3071	26	12	case	case	NOUN
ejpam-3071	26	13	of	of	ADP
ejpam-3071	26	14	the	the	DET
ejpam-3071	26	15	equation	equation	NOUN
ejpam-3071	26	16	(	(	PUNCT
ejpam-3071	26	17	1	1	NUM
ejpam-3071	26	18	)	)	PUNCT
ejpam-3071	26	19	,	,	PUNCT
ejpam-3071	26	20	when	when	SCONJ
ejpam-3071	26	21	l	l	NOUN
ejpam-3071	26	22	=	=	SYM
ejpam-3071	26	23	∆	∆	PROPN
ejpam-3071	26	24	,	,	PUNCT
ejpam-3071	26	25	f	f	PROPN
ejpam-3071	26	26	(	(	PUNCT
ejpam-3071	26	27	t	t	PROPN
ejpam-3071	26	28	,	,	PUNCT
ejpam-3071	26	29	x	x	X
ejpam-3071	26	30	,	,	PUNCT
ejpam-3071	26	31	0	0	NUM
ejpam-3071	26	32	,	,	PUNCT
ejpam-3071	26	33	...	...	PUNCT
ejpam-3071	26	34	,	,	PUNCT
ejpam-3071	26	35	0	0	X
ejpam-3071	26	36	)	)	PUNCT
ejpam-3071	26	37	=	=	SYM
ejpam-3071	26	38	0	0	PUNCT
ejpam-3071	26	39	and	and	CCONJ
ejpam-3071	26	40	proven	prove	VERB
ejpam-3071	26	41	a	a	DET
ejpam-3071	26	42	theorems	theorem	NOUN
ejpam-3071	26	43	of	of	ADP
ejpam-3071	26	44	existence	existence	NOUN
ejpam-3071	26	45	and	and	CCONJ
ejpam-3071	26	46	uniqueness	uniqueness	NOUN
ejpam-3071	26	47	of	of	ADP
ejpam-3071	26	48	the	the	DET
ejpam-3071	26	49	classical	classical	ADJ
ejpam-3071	26	50	solution	solution	NOUN
ejpam-3071	26	51	for	for	ADP
ejpam-3071	26	52	initial	initial	ADJ
ejpam-3071	26	53	functions	function	NOUN
ejpam-3071	26	54	ϕ(x	ϕ(x	PROPN
ejpam-3071	26	55	)	)	PUNCT
ejpam-3071	26	56	,	,	PUNCT
ejpam-3071	26	57	ψ(x	ψ(x	PROPN
ejpam-3071	26	58	)	)	PUNCT
ejpam-3071	26	59	with	with	ADP
ejpam-3071	26	60	sufficiently	sufficiently	ADV
ejpam-3071	26	61	small	small	ADJ
ejpam-3071	26	62	(	(	PUNCT
ejpam-3071	26	63	in	in	ADP
ejpam-3071	26	64	a	a	DET
ejpam-3071	26	65	certain	certain	ADJ
ejpam-3071	26	66	metric	metric	ADJ
ejpam-3071	26	67	)	)	PUNCT
ejpam-3071	26	68	norms	norm	NOUN
ejpam-3071	26	69	.	.	PUNCT
ejpam-3071	27	1	we	we	PRON
ejpam-3071	27	2	mention	mention	VERB
ejpam-3071	27	3	the	the	DET
ejpam-3071	27	4	work	work	NOUN
ejpam-3071	27	5	[	[	X
ejpam-3071	27	6	1	1	X
ejpam-3071	27	7	]	]	PUNCT
ejpam-3071	27	8	in	in	ADP
ejpam-3071	27	9	which	which	PRON
ejpam-3071	27	10	is	be	AUX
ejpam-3071	27	11	introduced	introduce	VERB
ejpam-3071	27	12	the	the	DET
ejpam-3071	27	13	definition	definition	NOUN
ejpam-3071	27	14	of	of	ADP
ejpam-3071	27	15	almost	almost	ADV
ejpam-3071	27	16	everywhere	everywhere	ADV
ejpam-3071	27	17	solution	solution	NOUN
ejpam-3071	27	18	of	of	ADP
ejpam-3071	27	19	the	the	DET
ejpam-3071	27	20	problem	problem	NOUN
ejpam-3071	27	21	(	(	PUNCT
ejpam-3071	27	22	1)-(3	1)-(3	NUM
ejpam-3071	27	23	)	)	PUNCT
ejpam-3071	27	24	for	for	ADP
ejpam-3071	27	25	arbitrary	arbitrary	ADJ
ejpam-3071	27	26	dimension	dimension	NOUN
ejpam-3071	27	27	n	n	CCONJ
ejpam-3071	27	28	(	(	PUNCT
ejpam-3071	27	29	i.e.	i.e.	X
ejpam-3071	27	30	for	for	ADP
ejpam-3071	27	31	arbitrary	arbitrary	ADJ
ejpam-3071	27	32	number	number	NOUN
ejpam-3071	27	33	of	of	ADP
ejpam-3071	27	34	the	the	DET
ejpam-3071	27	35	variables	variable	NOUN
ejpam-3071	27	36	)	)	PUNCT
ejpam-3071	27	37	and	and	CCONJ
ejpam-3071	27	38	proven	prove	VERB
ejpam-3071	27	39	the	the	DET
ejpam-3071	27	40	local	local	ADJ
ejpam-3071	27	41	existence	existence	NOUN
ejpam-3071	27	42	and	and	CCONJ
ejpam-3071	27	43	global	global	ADJ
ejpam-3071	27	44	uniqueness	uniqueness	NOUN
ejpam-3071	27	45	theorems	theorem	NOUN
ejpam-3071	27	46	for	for	ADP
ejpam-3071	27	47	the	the	DET
ejpam-3071	27	48	almost	almost	ADV
ejpam-3071	27	49	everywhere	everywhere	NOUN
ejpam-3071	27	50	solution	solution	NOUN
ejpam-3071	27	51	.	.	PUNCT
ejpam-3071	28	1	we	we	PRON
ejpam-3071	28	2	mention	mention	VERB
ejpam-3071	28	3	also	also	ADV
ejpam-3071	28	4	the	the	DET
ejpam-3071	28	5	results	result	NOUN
ejpam-3071	28	6	of	of	ADP
ejpam-3071	28	7	[	[	X
ejpam-3071	28	8	2	2	NUM
ejpam-3071	28	9	]	]	PUNCT
ejpam-3071	28	10	which	which	PRON
ejpam-3071	28	11	is	be	AUX
ejpam-3071	28	12	complete	complete	ADJ
ejpam-3071	28	13	progression	progression	NOUN
ejpam-3071	28	14	of	of	ADP
ejpam-3071	28	15	the	the	DET
ejpam-3071	28	16	results	result	NOUN
ejpam-3071	28	17	of	of	ADP
ejpam-3071	28	18	[	[	X
ejpam-3071	28	19	1	1	NUM
ejpam-3071	28	20	]	]	PUNCT
ejpam-3071	28	21	.	.	PUNCT
ejpam-3071	29	1	in	in	ADP
ejpam-3071	29	2	particular	particular	ADJ
ejpam-3071	29	3	in	in	ADP
ejpam-3071	29	4	the	the	DET
ejpam-3071	29	5	work	work	NOUN
ejpam-3071	29	6	[	[	X
ejpam-3071	29	7	2	2	X
ejpam-3071	29	8	]	]	PUNCT
ejpam-3071	29	9	the	the	DET
ejpam-3071	29	10	apriori	apriori	NOUN
ejpam-3071	29	11	estimates	estimate	VERB
ejpam-3071	29	12	for	for	ADP
ejpam-3071	29	13	the	the	DET
ejpam-3071	29	14	almost	almost	ADV
ejpam-3071	29	15	everywhere	everywhere	ADJ
ejpam-3071	29	16	solution	solution	NOUN
ejpam-3071	29	17	of	of	ADP
ejpam-3071	29	18	the	the	DET
ejpam-3071	29	19	considered	consider	VERB
ejpam-3071	29	20	mixed	mixed	ADJ
ejpam-3071	29	21	problem	problem	NOUN
ejpam-3071	29	22	are	be	AUX
ejpam-3071	29	23	esthablished	esthablishe	VERB
ejpam-3071	29	24	in	in	ADP
ejpam-3071	29	25	three	three	NUM
ejpam-3071	29	26	steps	step	NOUN
ejpam-3071	29	27	,	,	PUNCT
ejpam-3071	29	28	which	which	PRON
ejpam-3071	29	29	are	be	AUX
ejpam-3071	29	30	getting	get	VERB
ejpam-3071	29	31	stronger	strong	ADJ
ejpam-3071	29	32	from	from	ADP
ejpam-3071	29	33	step	step	NOUN
ejpam-3071	29	34	to	to	ADP
ejpam-3071	29	35	step	step	NOUN
ejpam-3071	29	36	.	.	PUNCT
ejpam-3071	30	1	in	in	ADP
ejpam-3071	30	2	the	the	DET
ejpam-3071	30	3	work	work	NOUN
ejpam-3071	30	4	[	[	X
ejpam-3071	30	5	10	10	NUM
ejpam-3071	30	6	]	]	PUNCT
ejpam-3071	30	7	is	be	AUX
ejpam-3071	30	8	proven	prove	VERB
ejpam-3071	30	9	the	the	DET
ejpam-3071	30	10	existence	existence	NOUN
ejpam-3071	30	11	and	and	CCONJ
ejpam-3071	30	12	uniqueness	uniqueness	NOUN
ejpam-3071	30	13	of	of	ADP
ejpam-3071	30	14	the	the	DET
ejpam-3071	30	15	strong	strong	ADJ
ejpam-3071	30	16	global	global	ADJ
ejpam-3071	30	17	solution	solution	NOUN
ejpam-3071	30	18	of	of	ADP
ejpam-3071	30	19	the	the	DET
ejpam-3071	30	20	one	one	NUM
ejpam-3071	30	21	special	special	ADJ
ejpam-3071	30	22	case	case	NOUN
ejpam-3071	30	23	of	of	ADP
ejpam-3071	30	24	the	the	DET
ejpam-3071	30	25	problem	problem	NOUN
ejpam-3071	30	26	(	(	PUNCT
ejpam-3071	30	27	1)-(3	1)-(3	NUM
ejpam-3071	30	28	)	)	PUNCT
ejpam-3071	30	29	,	,	PUNCT
ejpam-3071	30	30	when	when	SCONJ
ejpam-3071	30	31	l	l	NOUN
ejpam-3071	30	32	=	=	SYM
ejpam-3071	30	33	∆	∆	PROPN
ejpam-3071	30	34	,	,	PUNCT
ejpam-3071	30	35	n	n	CCONJ
ejpam-3071	30	36	≤	≤	NOUN
ejpam-3071	30	37	3	3	NUM
ejpam-3071	30	38	and	and	CCONJ
ejpam-3071	30	39	f	f	NOUN
ejpam-3071	30	40	=	=	SYM
ejpam-3071	30	41	∆u+	∆u+	PROPN
ejpam-3071	30	42	f(u	f(u	PROPN
ejpam-3071	30	43	)	)	PUNCT
ejpam-3071	30	44	.	.	PUNCT
ejpam-3071	31	1	finally	finally	ADV
ejpam-3071	31	2	we	we	PRON
ejpam-3071	31	3	mention	mention	VERB
ejpam-3071	31	4	the	the	DET
ejpam-3071	31	5	work	work	NOUN
ejpam-3071	31	6	[	[	X
ejpam-3071	31	7	8	8	NUM
ejpam-3071	31	8	]	]	PUNCT
ejpam-3071	31	9	in	in	ADP
ejpam-3071	31	10	which	which	PRON
ejpam-3071	31	11	proven	prove	VERB
ejpam-3071	31	12	theorems	theorem	NOUN
ejpam-3071	31	13	about	about	ADP
ejpam-3071	31	14	existence	existence	NOUN
ejpam-3071	31	15	and	and	CCONJ
ejpam-3071	31	16	uniqueness	uniqueness	NOUN
ejpam-3071	31	17	of	of	ADP
ejpam-3071	31	18	the	the	DET
ejpam-3071	31	19	generalized	generalize	VERB
ejpam-3071	31	20	,	,	PUNCT
ejpam-3071	31	21	almost	almost	ADV
ejpam-3071	31	22	everywhere	everywhere	ADV
ejpam-3071	31	23	and	and	CCONJ
ejpam-3071	31	24	classical	classical	ADJ
ejpam-3071	31	25	solution	solution	NOUN
ejpam-3071	31	26	for	for	ADP
ejpam-3071	31	27	one	one	NUM
ejpam-3071	31	28	special	special	ADJ
ejpam-3071	31	29	onedimensional	onedimensional	ADJ
ejpam-3071	31	30	case	case	NOUN
ejpam-3071	31	31	of	of	ADP
ejpam-3071	31	32	the	the	DET
ejpam-3071	31	33	problem	problem	NOUN
ejpam-3071	31	34	(	(	PUNCT
ejpam-3071	31	35	1)-(3	1)-(3	NUM
ejpam-3071	31	36	)	)	PUNCT
ejpam-3071	31	37	,	,	PUNCT
ejpam-3071	31	38	when	when	SCONJ
ejpam-3071	31	39	n	n	X
ejpam-3071	31	40	=	=	SYM
ejpam-3071	31	41	1	1	NUM
ejpam-3071	31	42	,	,	PUNCT
ejpam-3071	31	43	ω	ω	NUM
ejpam-3071	31	44	=	=	SYM
ejpam-3071	31	45	(	(	PUNCT
ejpam-3071	31	46	0	0	NUM
ejpam-3071	31	47	,	,	PUNCT
ejpam-3071	31	48	1	1	NUM
ejpam-3071	31	49	)	)	PUNCT
ejpam-3071	31	50	,	,	PUNCT
ejpam-3071	31	51	lu	lu	NOUN
ejpam-3071	32	1	=	=	NOUN
ejpam-3071	32	2	α	α	PROPN
ejpam-3071	32	3	·	·	PUNCT
ejpam-3071	32	4	uxx	uxx	PROPN
ejpam-3071	32	5	.	.	PROPN
ejpam-3071	33	1	2	2	X
ejpam-3071	33	2	.	.	X
ejpam-3071	33	3	auxiliaries	auxiliary	NOUN
ejpam-3071	33	4	in	in	ADP
ejpam-3071	33	5	this	this	DET
ejpam-3071	33	6	section	section	NOUN
ejpam-3071	33	7	,	,	PUNCT
ejpam-3071	33	8	we	we	PRON
ejpam-3071	33	9	introduce	introduce	VERB
ejpam-3071	33	10	a	a	DET
ejpam-3071	33	11	number	number	NOUN
ejpam-3071	33	12	of	of	ADP
ejpam-3071	33	13	concepts	concept	NOUN
ejpam-3071	33	14	,	,	PUNCT
ejpam-3071	33	15	notations	notation	NOUN
ejpam-3071	33	16	and	and	CCONJ
ejpam-3071	33	17	facts	fact	NOUN
ejpam-3071	33	18	to	to	PART
ejpam-3071	33	19	be	be	AUX
ejpam-3071	33	20	used	use	VERB
ejpam-3071	33	21	later	later	ADV
ejpam-3071	33	22	.	.	PUNCT
ejpam-3071	34	1	s.	s.	PROPN
ejpam-3071	34	2	j.aliyev	j.aliyev	PROPN
ejpam-3071	34	3	,	,	PUNCT
ejpam-3071	34	4	a.	a.	PROPN
ejpam-3071	34	5	g.aliyeva	g.aliyeva	PROPN
ejpam-3071	34	6	/	/	SYM
ejpam-3071	34	7	eur	eur	PROPN
ejpam-3071	34	8	.	.	PUNCT
ejpam-3071	35	1	j.	j.	PROPN
ejpam-3071	35	2	pure	pure	PROPN
ejpam-3071	35	3	appl	appl	PROPN
ejpam-3071	35	4	.	.	PROPN
ejpam-3071	35	5	math	math	PROPN
ejpam-3071	35	6	,	,	PUNCT
ejpam-3071	35	7	10	10	NUM
ejpam-3071	35	8	(	(	PUNCT
ejpam-3071	35	9	5	5	NUM
ejpam-3071	35	10	)	)	PUNCT
ejpam-3071	35	11	(	(	PUNCT
ejpam-3071	35	12	2017	2017	NUM
ejpam-3071	35	13	)	)	PUNCT
ejpam-3071	35	14	,	,	PUNCT
ejpam-3071	35	15	1078	1078	NUM
ejpam-3071	35	16	-	-	SYM
ejpam-3071	35	17	1091	1091	NUM
ejpam-3071	35	18	1080	1080	NUM
ejpam-3071	35	19	1	1	NUM
ejpam-3071	35	20	.	.	PUNCT
ejpam-3071	36	1	we	we	PRON
ejpam-3071	36	2	denote	denote	VERB
ejpam-3071	36	3	by	by	ADP
ejpam-3071	36	4	ḋ(ω	ḋ(ω	PROPN
ejpam-3071	36	5	)	)	PUNCT
ejpam-3071	36	6	the	the	DET
ejpam-3071	36	7	class	class	NOUN
ejpam-3071	36	8	of	of	ADP
ejpam-3071	36	9	all	all	DET
ejpam-3071	36	10	continuously	continuously	ADV
ejpam-3071	36	11	differentiable	differentiable	ADJ
ejpam-3071	36	12	functions	function	NOUN
ejpam-3071	36	13	on	on	ADP
ejpam-3071	36	14	ω	ω	NUM
ejpam-3071	36	15	which	which	PRON
ejpam-3071	36	16	vanished	vanish	VERB
ejpam-3071	36	17	near	near	ADP
ejpam-3071	36	18	the	the	DET
ejpam-3071	36	19	boundary	boundary	NOUN
ejpam-3071	36	20	of	of	ADP
ejpam-3071	36	21	ω	ω	PROPN
ejpam-3071	36	22	.	.	PUNCT
ejpam-3071	37	1	the	the	DET
ejpam-3071	37	2	closure	closure	NOUN
ejpam-3071	37	3	of	of	ADP
ejpam-3071	37	4	ḋ(ω	ḋ(ω	NOUN
ejpam-3071	37	5	)	)	PUNCT
ejpam-3071	37	6	with	with	ADP
ejpam-3071	37	7	respect	respect	NOUN
ejpam-3071	37	8	to	to	ADP
ejpam-3071	37	9	the	the	DET
ejpam-3071	37	10	norm	norm	NOUN
ejpam-3071	37	11	of	of	ADP
ejpam-3071	37	12	w	w	PROPN
ejpam-3071	37	13	1	1	NUM
ejpam-3071	37	14	2	2	NUM
ejpam-3071	37	15	(	(	PUNCT
ejpam-3071	37	16	ω	ω	NOUN
ejpam-3071	37	17	)	)	PUNCT
ejpam-3071	37	18	we	we	PRON
ejpam-3071	37	19	denote	denote	VERB
ejpam-3071	37	20	by	by	ADP
ejpam-3071	37	21	◦	◦	NOUN
ejpam-3071	37	22	d(ω	d(ω	PROPN
ejpam-3071	37	23	)	)	PUNCT
ejpam-3071	37	24	.	.	PUNCT
ejpam-3071	38	1	hence	hence	ADV
ejpam-3071	38	2	◦	◦	VERB
ejpam-3071	38	3	d(ω	d(ω	PROPN
ejpam-3071	38	4	)	)	PUNCT
ejpam-3071	39	1	⊂w	⊂w	PROPN
ejpam-3071	39	2	1	1	NUM
ejpam-3071	39	3	2	2	NUM
ejpam-3071	39	4	(	(	PUNCT
ejpam-3071	39	5	ω	ω	NOUN
ejpam-3071	39	6	)	)	PUNCT
ejpam-3071	39	7	.	.	PUNCT
ejpam-3071	40	1	for	for	ADP
ejpam-3071	40	2	investigation	investigation	NOUN
ejpam-3071	40	3	of	of	ADP
ejpam-3071	40	4	the	the	DET
ejpam-3071	40	5	problem	problem	NOUN
ejpam-3071	40	6	(	(	PUNCT
ejpam-3071	40	7	1)-(3	1)-(3	NUM
ejpam-3071	40	8	)	)	PUNCT
ejpam-3071	40	9	we	we	PRON
ejpam-3071	40	10	recall	recall	VERB
ejpam-3071	40	11	one	one	NUM
ejpam-3071	40	12	property	property	NOUN
ejpam-3071	40	13	of	of	ADP
ejpam-3071	40	14	the	the	DET
ejpam-3071	40	15	operator	operator	NOUN
ejpam-3071	40	16	l	l	NOUN
ejpam-3071	40	17	,	,	PUNCT
ejpam-3071	40	18	generating	generate	VERB
ejpam-3071	40	19	by	by	ADP
ejpam-3071	40	20	the	the	DET
ejpam-3071	40	21	differential	differential	ADJ
ejpam-3071	40	22	expression	expression	NOUN
ejpam-3071	40	23	(	(	PUNCT
ejpam-3071	40	24	4	4	NUM
ejpam-3071	40	25	)	)	PUNCT
ejpam-3071	40	26	and	and	CCONJ
ejpam-3071	40	27	boundary	boundary	ADJ
ejpam-3071	40	28	condition	condition	NOUN
ejpam-3071	40	29	(	(	PUNCT
ejpam-3071	40	30	3	3	NUM
ejpam-3071	40	31	):	):	PUNCT
ejpam-3071	40	32	there	there	PRON
ejpam-3071	40	33	are	be	VERB
ejpam-3071	40	34	denumerable	denumerable	ADJ
ejpam-3071	40	35	number	number	NOUN
ejpam-3071	40	36	of	of	ADP
ejpam-3071	40	37	negative	negative	ADJ
ejpam-3071	40	38	eigenvalues	eigenvalue	NOUN
ejpam-3071	40	39	0	0	PUNCT
ejpam-3071	40	40	>	>	X
ejpam-3071	40	41	−λ2	−λ2	NOUN
ejpam-3071	40	42	1	1	NUM
ejpam-3071	40	43	≥	≥	NOUN
ejpam-3071	40	44	−λ2	−λ2	NOUN
ejpam-3071	40	45	2	2	NUM
ejpam-3071	40	46	≥	≥	NOUN
ejpam-3071	40	47	...	...	PUNCT
ejpam-3071	41	1	≥	≥	X
ejpam-3071	42	1	−λ2	−λ2	NOUN
ejpam-3071	42	2	s	s	PRON
ejpam-3071	42	3	≥	≥	NOUN
ejpam-3071	42	4	...	...	PUNCT
ejpam-3071	42	5	,	,	PUNCT
ejpam-3071	42	6	(	(	PUNCT
ejpam-3071	42	7	0	0	NUM
ejpam-3071	42	8	<	<	X
ejpam-3071	42	9	λs	λs	X
ejpam-3071	42	10	→	→	SYM
ejpam-3071	42	11	+	+	ADJ
ejpam-3071	42	12	∞	∞	PROPN
ejpam-3071	42	13	as	as	ADP
ejpam-3071	42	14	s→∞	s→∞	NUM
ejpam-3071	42	15	)	)	PUNCT
ejpam-3071	42	16	with	with	ADP
ejpam-3071	42	17	the	the	DET
ejpam-3071	42	18	corresponding	corresponding	ADJ
ejpam-3071	42	19	generalized	generalize	VERB
ejpam-3071	42	20	eigenfunctions	eigenfunction	NOUN
ejpam-3071	42	21	υs(x	υs(x	PUNCT
ejpam-3071	42	22	)	)	PUNCT
ejpam-3071	42	23	which	which	PRON
ejpam-3071	42	24	are	be	AUX
ejpam-3071	42	25	complete	complete	ADJ
ejpam-3071	42	26	and	and	CCONJ
ejpam-3071	42	27	orthonormal	orthonormal	ADJ
ejpam-3071	42	28	in	in	ADP
ejpam-3071	42	29	l2(ω	l2(ω	NOUN
ejpam-3071	42	30	)	)	PUNCT
ejpam-3071	42	31	.	.	PUNCT
ejpam-3071	43	1	we	we	PRON
ejpam-3071	43	2	call	call	VERB
ejpam-3071	43	3	function	function	NOUN
ejpam-3071	43	4	υs(x	υs(x	PUNCT
ejpam-3071	43	5	)	)	PUNCT
ejpam-3071	43	6	∈	∈	PROPN
ejpam-3071	43	7	◦	◦	NOUN
ejpam-3071	43	8	d(ω	d(ω	PROPN
ejpam-3071	43	9	)	)	PUNCT
ejpam-3071	43	10	a	a	DET
ejpam-3071	43	11	generalized	generalized	ADJ
ejpam-3071	43	12	eigenfunction	eigenfunction	NOUN
ejpam-3071	43	13	of	of	ADP
ejpam-3071	43	14	the	the	DET
ejpam-3071	43	15	operator	operator	NOUN
ejpam-3071	43	16	l	l	NOUN
ejpam-3071	43	17	,	,	PUNCT
ejpam-3071	43	18	if	if	SCONJ
ejpam-3071	43	19	it	it	PRON
ejpam-3071	43	20	is	be	AUX
ejpam-3071	43	21	not	not	PART
ejpam-3071	43	22	identically	identically	ADV
ejpam-3071	43	23	zero	zero	NUM
ejpam-3071	43	24	and	and	CCONJ
ejpam-3071	43	25	∫	∫	PROPN
ejpam-3071	43	26	ω	ω	PROPN
ejpam-3071	43	27			PROPN
ejpam-3071	43	28	n∑	n∑	PROPN
ejpam-3071	43	29	i	i	PROPN
ejpam-3071	43	30	,	,	PUNCT
ejpam-3071	43	31	j=1	j=1	PROPN
ejpam-3071	43	32	aij(x	aij(x	PROPN
ejpam-3071	43	33	)	)	PUNCT
ejpam-3071	43	34	∂υs(x	∂υs(x	NOUN
ejpam-3071	43	35	)	)	PUNCT
ejpam-3071	43	36	∂xi	∂xi	PROPN
ejpam-3071	43	37	·	·	SYM
ejpam-3071	43	38	∂φ(x	∂φ(x	PROPN
ejpam-3071	43	39	)	)	PUNCT
ejpam-3071	43	40	∂xj	∂xj	NOUN
ejpam-3071	43	41	+	+	CCONJ
ejpam-3071	43	42	a(x)υs(x)φ(x	a(x)υs(x)φ(x	ADJ
ejpam-3071	43	43	)	)	PUNCT
ejpam-3071	44	1			NOUN
ejpam-3071	44	2	dx	dx	PROPN
ejpam-3071	44	3	=	=	SYM
ejpam-3071	44	4	λ2	λ2	PROPN
ejpam-3071	44	5	s	s	PART
ejpam-3071	44	6	·	·	PUNCT
ejpam-3071	44	7	∫	∫	PROPN
ejpam-3071	44	8	ω	ω	NUM
ejpam-3071	44	9	υs(x)φ(x)dx	υs(x)φ(x)dx	NOUN
ejpam-3071	44	10	(	(	PUNCT
ejpam-3071	44	11	5	5	NUM
ejpam-3071	44	12	)	)	PUNCT
ejpam-3071	44	13	for	for	ADP
ejpam-3071	44	14	any	any	DET
ejpam-3071	44	15	function	function	NOUN
ejpam-3071	44	16	φ(x	φ(x	NOUN
ejpam-3071	44	17	)	)	PUNCT
ejpam-3071	44	18	∈	∈	PROPN
ejpam-3071	44	19	◦	◦	NOUN
ejpam-3071	44	20	d(ω	d(ω	PROPN
ejpam-3071	44	21	)	)	PUNCT
ejpam-3071	44	22	.	.	PUNCT
ejpam-3071	45	1	2	2	X
ejpam-3071	45	2	.	.	X
ejpam-3071	45	3	we	we	PRON
ejpam-3071	45	4	denote	denote	VERB
ejpam-3071	45	5	by	by	ADP
ejpam-3071	45	6	bα0	bα0	PROPN
ejpam-3071	45	7	,	,	PUNCT
ejpam-3071	45	8	...	...	PUNCT
ejpam-3071	45	9	,	,	PUNCT
ejpam-3071	45	10	αl	αl	ADP
ejpam-3071	45	11	β0,	β0,	NOUN
ejpam-3071	45	12	...	...	SYM
ejpam-3071	45	13	βl	βl	PROPN
ejpam-3071	45	14	,	,	PUNCT
ejpam-3071	45	15	t	t	PROPN
ejpam-3071	45	16	a	a	DET
ejpam-3071	45	17	totality	totality	NOUN
ejpam-3071	45	18	of	of	ADP
ejpam-3071	45	19	all	all	DET
ejpam-3071	45	20	the	the	DET
ejpam-3071	45	21	functions	function	NOUN
ejpam-3071	45	22	of	of	ADP
ejpam-3071	45	23	the	the	PRON
ejpam-3071	45	24	from	from	ADP
ejpam-3071	45	25	u(t	u(t	NOUN
ejpam-3071	45	26	,	,	PUNCT
ejpam-3071	45	27	x	x	NOUN
ejpam-3071	45	28	)	)	PUNCT
ejpam-3071	45	29	=	=	PUNCT
ejpam-3071	46	1	∞∑	∞∑	NUM
ejpam-3071	46	2	s=1	s=1	X
ejpam-3071	46	3	us(t)υs(x	us(t)υs(x	ADJ
ejpam-3071	46	4	)	)	PUNCT
ejpam-3071	46	5	considered	consider	VERB
ejpam-3071	46	6	in	in	ADP
ejpam-3071	46	7	qt	qt	NOUN
ejpam-3071	46	8	=	=	SYM
ejpam-3071	46	9	(	(	PUNCT
ejpam-3071	46	10	0	0	NUM
ejpam-3071	46	11	,	,	PUNCT
ejpam-3071	46	12	t	t	NOUN
ejpam-3071	46	13	)	)	PUNCT
ejpam-3071	46	14	×	×	PROPN
ejpam-3071	46	15	ω	ω	NOUN
ejpam-3071	46	16	,	,	PUNCT
ejpam-3071	46	17	where	where	SCONJ
ejpam-3071	46	18	us(t	us(t	NOUN
ejpam-3071	46	19	)	)	PUNCT
ejpam-3071	46	20	∈	∈	PROPN
ejpam-3071	46	21	c(l	c(l	PROPN
ejpam-3071	46	22	)	)	PUNCT
ejpam-3071	46	23	(	(	PUNCT
ejpam-3071	47	1	[	[	X
ejpam-3071	47	2	0	0	NUM
ejpam-3071	47	3	,	,	PUNCT
ejpam-3071	47	4	t	t	X
ejpam-3071	47	5	]	]	PUNCT
ejpam-3071	47	6	)	)	PUNCT
ejpam-3071	47	7	for	for	ADP
ejpam-3071	47	8	all	all	DET
ejpam-3071	47	9	s	s	PROPN
ejpam-3071	47	10	and	and	CCONJ
ejpam-3071	47	11	nt	not	PART
ejpam-3071	47	12	(	(	PUNCT
ejpam-3071	47	13	u	u	NOUN
ejpam-3071	47	14	)	)	PUNCT
ejpam-3071	47	15	≡	≡	PROPN
ejpam-3071	47	16	l∑	l∑	PUNCT
ejpam-3071	48	1	i=0	i=0	PROPN
ejpam-3071	48	2	{	{	PUNCT
ejpam-3071	48	3	∞∑	∞∑	NOUN
ejpam-3071	48	4	s=1	s=1	X
ejpam-3071	48	5	(	(	PUNCT
ejpam-3071	48	6	λαis	λαis	ADJ
ejpam-3071	48	7	·	·	PUNCT
ejpam-3071	48	8	max	max	NOUN
ejpam-3071	48	9	0≤t≤t	0≤t≤t	NUM
ejpam-3071	48	10	∣∣∣u(i	∣∣∣u(i	NOUN
ejpam-3071	48	11	)	)	PUNCT
ejpam-3071	48	12	s	s	PART
ejpam-3071	48	13	(	(	PUNCT
ejpam-3071	48	14	t	t	NOUN
ejpam-3071	48	15	)	)	PUNCT
ejpam-3071	48	16	∣∣∣)βi	∣∣∣)βi	NOUN
ejpam-3071	48	17	}	}	PUNCT
ejpam-3071	48	18	1	1	NUM
ejpam-3071	48	19	βi	βi	ADP
ejpam-3071	48	20	<	<	X
ejpam-3071	48	21	+	+	NOUN
ejpam-3071	48	22	∞	∞	PROPN
ejpam-3071	48	23	,	,	PUNCT
ejpam-3071	48	24	with	with	ADP
ejpam-3071	48	25	αi	αi	NUM
ejpam-3071	48	26	≥	≥	NOUN
ejpam-3071	48	27	0	0	NUM
ejpam-3071	48	28	,	,	PUNCT
ejpam-3071	48	29	1	1	NUM
ejpam-3071	48	30	≤	≤	NUM
ejpam-3071	48	31	βi	βi	VERB
ejpam-3071	48	32	≤	≤	NUM
ejpam-3071	48	33	2	2	NUM
ejpam-3071	48	34	(	(	PUNCT
ejpam-3071	48	35	i	i	NOUN
ejpam-3071	48	36	=	=	NOUN
ejpam-3071	48	37	0	0	NUM
ejpam-3071	48	38	,	,	PUNCT
ejpam-3071	48	39	1	1	NUM
ejpam-3071	48	40	,	,	PUNCT
ejpam-3071	48	41	...	...	PUNCT
ejpam-3071	48	42	,	,	PUNCT
ejpam-3071	48	43	n	n	CCONJ
ejpam-3071	48	44	)	)	PUNCT
ejpam-3071	48	45	.	.	PUNCT
ejpam-3071	49	1	we	we	PRON
ejpam-3071	49	2	define	define	VERB
ejpam-3071	49	3	the	the	DET
ejpam-3071	49	4	norm	norm	NOUN
ejpam-3071	49	5	in	in	ADP
ejpam-3071	49	6	this	this	DET
ejpam-3071	49	7	set	set	NOUN
ejpam-3071	49	8	as	as	ADP
ejpam-3071	49	9	‖u‖	‖u‖	PROPN
ejpam-3071	49	10	=	=	PUNCT
ejpam-3071	49	11	nt	not	PART
ejpam-3071	49	12	(	(	PUNCT
ejpam-3071	49	13	u	u	NOUN
ejpam-3071	49	14	)	)	PUNCT
ejpam-3071	49	15	.	.	PUNCT
ejpam-3071	50	1	it	it	PRON
ejpam-3071	50	2	is	be	AUX
ejpam-3071	50	3	evident	evident	ADJ
ejpam-3071	50	4	that	that	SCONJ
ejpam-3071	50	5	all	all	DET
ejpam-3071	50	6	these	these	DET
ejpam-3071	50	7	spaces	space	NOUN
ejpam-3071	50	8	are	be	AUX
ejpam-3071	50	9	banach	banach	ADV
ejpam-3071	50	10	spaces	space	NOUN
ejpam-3071	50	11	.	.	PUNCT
ejpam-3071	51	1	3	3	X
ejpam-3071	51	2	.	.	X
ejpam-3071	51	3	let	let	VERB
ejpam-3071	51	4	∀t	∀t	PROPN
ejpam-3071	51	5	∈	∈	PRON
ejpam-3071	52	1	[	[	X
ejpam-3071	52	2	0	0	NUM
ejpam-3071	52	3	,	,	PUNCT
ejpam-3071	52	4	t	t	NOUN
ejpam-3071	52	5	]	]	PUNCT
ejpam-3071	52	6	ai(t	ai(t	NOUN
ejpam-3071	52	7	,	,	PUNCT
ejpam-3071	52	8	x	x	X
ejpam-3071	52	9	)	)	PUNCT
ejpam-3071	52	10	(	(	PUNCT
ejpam-3071	52	11	i	i	NOUN
ejpam-3071	52	12	=	=	NOUN
ejpam-3071	52	13	0	0	NUM
ejpam-3071	52	14	,	,	PUNCT
ejpam-3071	52	15	1	1	NUM
ejpam-3071	52	16	,	,	PUNCT
ejpam-3071	52	17	...	...	PUNCT
ejpam-3071	52	18	,	,	PUNCT
ejpam-3071	52	19	n	n	CCONJ
ejpam-3071	52	20	)	)	PUNCT
ejpam-3071	52	21	,	,	PUNCT
ejpam-3071	52	22	b(t	b(t	PROPN
ejpam-3071	52	23	,	,	PUNCT
ejpam-3071	52	24	x	x	X
ejpam-3071	52	25	)	)	PUNCT
ejpam-3071	52	26	∈	∈	PROPN
ejpam-3071	52	27	l2(ω	l2(ω	PROPN
ejpam-3071	52	28	)	)	PUNCT
ejpam-3071	52	29	.	.	PUNCT
ejpam-3071	53	1	then	then	ADV
ejpam-3071	53	2	the	the	DET
ejpam-3071	53	3	following	follow	VERB
ejpam-3071	53	4	inequality	inequality	NOUN
ejpam-3071	53	5	hold	hold	NOUN
ejpam-3071	53	6	(	(	PUNCT
ejpam-3071	53	7	[	[	X
ejpam-3071	53	8	7	7	NUM
ejpam-3071	53	9	,	,	PUNCT
ejpam-3071	53	10	p.	p.	NOUN
ejpam-3071	53	11	135	135	NUM
ejpam-3071	53	12	]	]	PUNCT
ejpam-3071	53	13	):	):	PUNCT
ejpam-3071	53	14	∞∑	∞∑	PROPN
ejpam-3071	53	15	s=1	s=1	ADJ
ejpam-3071	53	16			PROPN
ejpam-3071	53	17	∫	∫	PROPN
ejpam-3071	53	18	ω	ω	NUM
ejpam-3071	53	19			PROPN
ejpam-3071	53	20	n∑	n∑	PROPN
ejpam-3071	53	21	i	i	PROPN
ejpam-3071	53	22	,	,	PUNCT
ejpam-3071	53	23	j=1	j=1	PROPN
ejpam-3071	53	24	aij(x)ai(t	aij(x)ai(t	CCONJ
ejpam-3071	53	25	,	,	PUNCT
ejpam-3071	53	26	x	x	NOUN
ejpam-3071	53	27	)	)	PUNCT
ejpam-3071	53	28	∂	∂	NUM
ejpam-3071	53	29	∂xj	∂xj	NOUN
ejpam-3071	53	30	(	(	PUNCT
ejpam-3071	53	31	υs(x	υs(x	PUNCT
ejpam-3071	53	32	)	)	PUNCT
ejpam-3071	53	33	λs	λs	ADP
ejpam-3071	53	34	)	)	PUNCT
ejpam-3071	54	1	+	+	CCONJ
ejpam-3071	54	2	a(x)b(t	a(x)b(t	NOUN
ejpam-3071	54	3	,	,	PUNCT
ejpam-3071	54	4	x	x	NOUN
ejpam-3071	54	5	)	)	PUNCT
ejpam-3071	54	6	υs(x	υs(x	PUNCT
ejpam-3071	54	7	)	)	PUNCT
ejpam-3071	55	1	λs	λs	SCONJ
ejpam-3071	55	2			NOUN
ejpam-3071	55	3	dx	dx	VERB
ejpam-3071	55	4			PROPN
ejpam-3071	55	5	2	2	NUM
ejpam-3071	55	6	≤	≤	NUM
ejpam-3071	55	7	∫	∫	PROPN
ejpam-3071	55	8	ω	ω	NUM
ejpam-3071	55	9			PROPN
ejpam-3071	55	10	n∑	n∑	PROPN
ejpam-3071	55	11	i	i	PROPN
ejpam-3071	55	12	,	,	PUNCT
ejpam-3071	55	13	j=1	j=1	PROPN
ejpam-3071	55	14	aij(x)ai(t	aij(x)ai(t	ADV
ejpam-3071	55	15	,	,	PUNCT
ejpam-3071	55	16	x)aj(t	x)aj(t	PROPN
ejpam-3071	55	17	,	,	PUNCT
ejpam-3071	55	18	x	x	PRON
ejpam-3071	55	19	)	)	PUNCT
ejpam-3071	55	20	+	+	CCONJ
ejpam-3071	55	21	a(x)b2(t	a(x)b2(t	NOUN
ejpam-3071	55	22	,	,	PUNCT
ejpam-3071	55	23	x	x	X
ejpam-3071	55	24	)	)	PUNCT
ejpam-3071	55	25			PROPN
ejpam-3071	55	26	dx	dx	PROPN
ejpam-3071	55	27	.	.	PUNCT
ejpam-3071	56	1	(	(	PUNCT
ejpam-3071	56	2	6	6	NUM
ejpam-3071	56	3	)	)	SYM
ejpam-3071	56	4	4	4	NUM
ejpam-3071	56	5	.	.	PUNCT
ejpam-3071	57	1	we	we	PRON
ejpam-3071	57	2	will	will	AUX
ejpam-3071	57	3	also	also	ADV
ejpam-3071	57	4	often	often	ADV
ejpam-3071	57	5	use	use	VERB
ejpam-3071	57	6	the	the	DET
ejpam-3071	57	7	following	follow	VERB
ejpam-3071	57	8	lemma	lemma	PROPN
ejpam-3071	57	9	from	from	ADP
ejpam-3071	57	10	[	[	PUNCT
ejpam-3071	57	11	9	9	NUM
ejpam-3071	57	12	,	,	PUNCT
ejpam-3071	57	13	p.88	p.88	PROPN
ejpam-3071	57	14	,	,	PUNCT
ejpam-3071	57	15	lemma	lemma	PROPN
ejpam-3071	57	16	1	1	NUM
ejpam-3071	57	17	]	]	PUNCT
ejpam-3071	57	18	by	by	ADP
ejpam-3071	57	19	o.a	o.a	PROPN
ejpam-3071	57	20	.	.	PROPN
ejpam-3071	57	21	ladyzhenskaya	ladyzhenskaya	PROPN
ejpam-3071	57	22	:	:	PUNCT
ejpam-3071	57	23	s.	s.	PROPN
ejpam-3071	57	24	j.aliyev	j.aliyev	PROPN
ejpam-3071	57	25	,	,	PUNCT
ejpam-3071	57	26	a.	a.	PROPN
ejpam-3071	57	27	g.aliyeva	g.aliyeva	PROPN
ejpam-3071	57	28	/	/	SYM
ejpam-3071	57	29	eur	eur	PROPN
ejpam-3071	57	30	.	.	PUNCT
ejpam-3071	58	1	j.	j.	PROPN
ejpam-3071	58	2	pure	pure	PROPN
ejpam-3071	58	3	appl	appl	PROPN
ejpam-3071	58	4	.	.	PROPN
ejpam-3071	58	5	math	math	PROPN
ejpam-3071	58	6	,	,	PUNCT
ejpam-3071	58	7	10	10	NUM
ejpam-3071	58	8	(	(	PUNCT
ejpam-3071	58	9	5	5	NUM
ejpam-3071	58	10	)	)	PUNCT
ejpam-3071	58	11	(	(	PUNCT
ejpam-3071	58	12	2017	2017	NUM
ejpam-3071	58	13	)	)	PUNCT
ejpam-3071	58	14	,	,	PUNCT
ejpam-3071	58	15	1078	1078	NUM
ejpam-3071	58	16	-	-	SYM
ejpam-3071	58	17	1091	1091	NUM
ejpam-3071	58	18	1081	1081	NUM
ejpam-3071	58	19	lemma	lemma	PROPN
ejpam-3071	58	20	1	1	NUM
ejpam-3071	58	21	.	.	PUNCT
ejpam-3071	59	1	let	let	VERB
ejpam-3071	59	2	the	the	DET
ejpam-3071	59	3	following	follow	VERB
ejpam-3071	59	4	conditions	condition	NOUN
ejpam-3071	59	5	be	be	AUX
ejpam-3071	59	6	satisfied	satisfied	ADJ
ejpam-3071	59	7	for	for	ADP
ejpam-3071	59	8	a	a	DET
ejpam-3071	59	9	natural	natural	ADJ
ejpam-3071	59	10	number	number	NOUN
ejpam-3071	59	11	m	m	NOUN
ejpam-3071	59	12	≥	≥	NOUN
ejpam-3071	59	13	2	2	NUM
ejpam-3071	59	14	:	:	PUNCT
ejpam-3071	59	15	a	a	X
ejpam-3071	59	16	)	)	PUNCT
ejpam-3071	59	17	aij(x	aij(x	PROPN
ejpam-3071	59	18	)	)	PUNCT
ejpam-3071	59	19	(	(	PUNCT
ejpam-3071	59	20	i	i	PROPN
ejpam-3071	59	21	,	,	PUNCT
ejpam-3071	59	22	j	j	PROPN
ejpam-3071	59	23	=	=	SYM
ejpam-3071	59	24	1	1	NUM
ejpam-3071	59	25	,	,	PUNCT
ejpam-3071	59	26	2	2	NUM
ejpam-3071	59	27	,	,	PUNCT
ejpam-3071	59	28	...	...	PUNCT
ejpam-3071	59	29	,	,	PUNCT
ejpam-3071	59	30	n	n	CCONJ
ejpam-3071	59	31	)	)	PUNCT
ejpam-3071	59	32	∈	∈	PROPN
ejpam-3071	59	33	cm−1(ω̄	cm−1(ω̄	NOUN
ejpam-3071	59	34	)	)	PUNCT
ejpam-3071	59	35	)	)	PUNCT
ejpam-3071	60	1	,	,	PUNCT
ejpam-3071	60	2	a(x	a(x	PROPN
ejpam-3071	60	3	)	)	PUNCT
ejpam-3071	60	4	∈	∈	PROPN
ejpam-3071	60	5	cm−2(ω̄	cm−2(ω̄	NUM
ejpam-3071	60	6	)	)	PUNCT
ejpam-3071	60	7	,	,	PUNCT
ejpam-3071	60	8	∂ω	∂ω	PROPN
ejpam-3071	60	9	≡	≡	PROPN
ejpam-3071	60	10	s	s	PART
ejpam-3071	60	11	∈	∈	PROPN
ejpam-3071	60	12	cm	cm	NOUN
ejpam-3071	60	13	,	,	PUNCT
ejpam-3071	60	14	υ(x	υ(x	ADJ
ejpam-3071	60	15	)	)	PUNCT
ejpam-3071	60	16	∈	∈	PROPN
ejpam-3071	60	17	cm(ω̄	cm(ω̄	PROPN
ejpam-3071	60	18	)	)	PUNCT
ejpam-3071	60	19	;	;	PUNCT
ejpam-3071	60	20	b	b	X
ejpam-3071	60	21	)	)	PUNCT
ejpam-3071	60	22	υ(x)|s	υ(x)|s	NOUN
ejpam-3071	60	23	=	=	SYM
ejpam-3071	60	24	l(υ(x))|s	l(υ(x))|s	PUNCT
ejpam-3071	60	25	=	=	PUNCT
ejpam-3071	60	26	...	...	PUNCT
ejpam-3071	61	1	=	=	SYM
ejpam-3071	61	2	l[m−1	l[m−1	NOUN
ejpam-3071	61	3	2	2	NUM
ejpam-3071	61	4	]	]	PUNCT
ejpam-3071	61	5	(	(	PUNCT
ejpam-3071	61	6	υ(x	υ(x	ADJ
ejpam-3071	61	7	)	)	PUNCT
ejpam-3071	61	8	)	)	PUNCT
ejpam-3071	61	9	∣∣∣	∣∣∣	NOUN
ejpam-3071	61	10	s	s	PART
ejpam-3071	61	11	=	=	NOUN
ejpam-3071	61	12	0	0	PROPN
ejpam-3071	61	13	.	.	PUNCT
ejpam-3071	62	1	then	then	ADV
ejpam-3071	62	2	the	the	DET
ejpam-3071	62	3	following	follow	VERB
ejpam-3071	62	4	inequalities	inequality	NOUN
ejpam-3071	62	5	hold	hold	VERB
ejpam-3071	62	6	:	:	PUNCT
ejpam-3071	62	7	hm(υ	hm(υ	SYM
ejpam-3071	62	8	)	)	PUNCT
ejpam-3071	62	9	≡	≡	PROPN
ejpam-3071	62	10	m∑	m∑	CCONJ
ejpam-3071	62	11	k=0	k=0	PROPN
ejpam-3071	62	12	jk(υ	jk(υ	X
ejpam-3071	62	13	)	)	PUNCT
ejpam-3071	62	14	≤	≤	PUNCT
ejpam-3071	63	1	c	c	NOUN
ejpam-3071	63	2	{	{	PUNCT
ejpam-3071	63	3	r∑	r∑	NOUN
ejpam-3071	63	4	s=0	s=0	X
ejpam-3071	63	5	j0(lsυ	j0(lsυ	PROPN
ejpam-3071	63	6	)	)	PUNCT
ejpam-3071	64	1	+	+	CCONJ
ejpam-3071	64	2	r−1∑	r−1∑	PROPN
ejpam-3071	64	3	s=0	s=0	PROPN
ejpam-3071	64	4	j1(lsυ	j1(lsυ	PROPN
ejpam-3071	64	5	)	)	PUNCT
ejpam-3071	64	6	}	}	PUNCT
ejpam-3071	64	7	for	for	ADP
ejpam-3071	64	8	m	m	PROPN
ejpam-3071	64	9	=	=	SYM
ejpam-3071	64	10	2r	2r	NUM
ejpam-3071	64	11	,	,	PUNCT
ejpam-3071	64	12	hm(υ	hm(υ	ADJ
ejpam-3071	64	13	)	)	PUNCT
ejpam-3071	64	14	≤	≤	PUNCT
ejpam-3071	65	1	c	c	NOUN
ejpam-3071	65	2	{	{	PUNCT
ejpam-3071	65	3	r∑	r∑	NOUN
ejpam-3071	65	4	s=0	s=0	X
ejpam-3071	65	5	j1(lsυ	j1(lsυ	PROPN
ejpam-3071	65	6	)	)	PUNCT
ejpam-3071	65	7	+	+	CCONJ
ejpam-3071	65	8	r∑	r∑	NOUN
ejpam-3071	65	9	s=0	s=0	X
ejpam-3071	65	10	j0(lsυ	j0(lsυ	PROPN
ejpam-3071	65	11	)	)	PUNCT
ejpam-3071	65	12	}	}	PUNCT
ejpam-3071	65	13	for	for	ADP
ejpam-3071	65	14	m	m	PROPN
ejpam-3071	65	15	=	=	SYM
ejpam-3071	65	16	2r	2r	NUM
ejpam-3071	65	17	+	+	CCONJ
ejpam-3071	65	18	1	1	NUM
ejpam-3071	65	19	,	,	PUNCT
ejpam-3071	65	20	where	where	SCONJ
ejpam-3071	65	21	jk(u	jk(u	X
ejpam-3071	65	22	,	,	PUNCT
ejpam-3071	65	23	υ	υ	NOUN
ejpam-3071	65	24	)	)	PUNCT
ejpam-3071	65	25	=	=	SYM
ejpam-3071	65	26	∫	∫	PROPN
ejpam-3071	65	27	ω	ω	NUM
ejpam-3071	65	28	∑	∑	PROPN
ejpam-3071	65	29	1	1	NUM
ejpam-3071	65	30	≤	≤	NUM
ejpam-3071	65	31	α1	α1	NOUN
ejpam-3071	65	32	,	,	PUNCT
ejpam-3071	65	33	...	...	PUNCT
ejpam-3071	65	34	,	,	PUNCT
ejpam-3071	65	35	αk	αk	ADP
ejpam-3071	65	36	≤	≤	NUM
ejpam-3071	65	37	n	n	PRON
ejpam-3071	65	38	1	1	NUM
ejpam-3071	65	39	≤	≤	NOUN
ejpam-3071	65	40	β1	β1	PROPN
ejpam-3071	65	41	,	,	PUNCT
ejpam-3071	65	42	...	...	PUNCT
ejpam-3071	65	43	,	,	PUNCT
ejpam-3071	65	44	βk	βk	ADP
ejpam-3071	65	45	≤	≤	NOUN
ejpam-3071	65	46	n	n	DET
ejpam-3071	65	47	aα1β1	aα1β1	PROPN
ejpam-3071	65	48	...	...	PUNCT
ejpam-3071	65	49	aαkβk	aαkβk	VERB
ejpam-3071	65	50	∂ku(x	∂ku(x	NOUN
ejpam-3071	65	51	)	)	PUNCT
ejpam-3071	65	52	∂xα1	∂xα1	NOUN
ejpam-3071	65	53	...	...	PUNCT
ejpam-3071	65	54	∂xαk	∂xαk	X
ejpam-3071	65	55	·	·	PUNCT
ejpam-3071	65	56	∂kυ(x	∂kυ(x	NUM
ejpam-3071	65	57	)	)	PUNCT
ejpam-3071	65	58	∂xβ1	∂xβ1	NUM
ejpam-3071	65	59	...	...	PUNCT
ejpam-3071	65	60	∂xβk	∂xβk	NUM
ejpam-3071	65	61	dx	dx	PROPN
ejpam-3071	65	62	jk(u	jk(u	NOUN
ejpam-3071	65	63	)	)	PUNCT
ejpam-3071	65	64	=	=	SYM
ejpam-3071	66	1	jk(u	jk(u	NOUN
ejpam-3071	66	2	,	,	PUNCT
ejpam-3071	66	3	u)(k	u)(k	NOUN
ejpam-3071	66	4	≥	≥	NOUN
ejpam-3071	66	5	1	1	NUM
ejpam-3071	66	6	)	)	PUNCT
ejpam-3071	66	7	;	;	PUNCT
ejpam-3071	67	1	j0(u	j0(u	PROPN
ejpam-3071	67	2	)	)	PUNCT
ejpam-3071	67	3	=	=	SYM
ejpam-3071	68	1	j0(u	j0(u	PROPN
ejpam-3071	68	2	,	,	PUNCT
ejpam-3071	68	3	u	u	NOUN
ejpam-3071	68	4	)	)	PUNCT
ejpam-3071	68	5	,	,	PUNCT
ejpam-3071	68	6	j0(u	j0(u	PROPN
ejpam-3071	68	7	,	,	PUNCT
ejpam-3071	68	8	υ	υ	NOUN
ejpam-3071	68	9	)	)	PUNCT
ejpam-3071	68	10	=	=	SYM
ejpam-3071	68	11	∫	∫	PROPN
ejpam-3071	68	12	ω	ω	NOUN
ejpam-3071	68	13	u(x)υ(x)dx	u(x)υ(x)dx	PROPN
ejpam-3071	68	14	,	,	PUNCT
ejpam-3071	68	15	c	c	X
ejpam-3071	68	16	>	>	X
ejpam-3071	68	17	0	0	NUM
ejpam-3071	68	18	is	be	AUX
ejpam-3071	68	19	some	some	DET
ejpam-3071	68	20	constant	constant	ADJ
ejpam-3071	68	21	not	not	PART
ejpam-3071	68	22	depending	depend	VERB
ejpam-3071	68	23	on	on	ADP
ejpam-3071	68	24	υ(x	υ(x	NOUN
ejpam-3071	68	25	)	)	PUNCT
ejpam-3071	68	26	.	.	PUNCT
ejpam-3071	69	1	it	it	PRON
ejpam-3071	69	2	is	be	AUX
ejpam-3071	69	3	evident	evident	ADJ
ejpam-3071	69	4	that	that	SCONJ
ejpam-3071	69	5	for	for	ADP
ejpam-3071	69	6	the	the	DET
ejpam-3071	69	7	function	function	NOUN
ejpam-3071	69	8	of	of	ADP
ejpam-3071	69	9	the	the	DET
ejpam-3071	69	10	form	form	NOUN
ejpam-3071	69	11	u(t	u(t	NOUN
ejpam-3071	69	12	,	,	PUNCT
ejpam-3071	69	13	x	x	NOUN
ejpam-3071	69	14	)	)	PUNCT
ejpam-3071	69	15	=	=	PUNCT
ejpam-3071	69	16	∞∑	∞∑	NUM
ejpam-3071	69	17	s=1	s=1	X
ejpam-3071	69	18	us(t)υs(x	us(t)υs(x	ADJ
ejpam-3071	69	19	)	)	PUNCT
ejpam-3071	69	20	j0(u(t	j0(u(t	PROPN
ejpam-3071	69	21	,	,	PUNCT
ejpam-3071	69	22	x	x	NOUN
ejpam-3071	69	23	)	)	PUNCT
ejpam-3071	69	24	)	)	PUNCT
ejpam-3071	70	1	=	=	SYM
ejpam-3071	71	1	∫	∫	PROPN
ejpam-3071	71	2	ω	ω	X
ejpam-3071	71	3	u2(t	u2(t	PROPN
ejpam-3071	71	4	,	,	PUNCT
ejpam-3071	71	5	x)dx	x)dx	PROPN
ejpam-3071	71	6	=	=	PUNCT
ejpam-3071	72	1	∞∑	∞∑	NUM
ejpam-3071	72	2	s=1	s=1	X
ejpam-3071	72	3	u2	u2	PROPN
ejpam-3071	72	4	s(t	s(t	PROPN
ejpam-3071	72	5	)	)	PUNCT
ejpam-3071	72	6	,	,	PUNCT
ejpam-3071	72	7	(	(	PUNCT
ejpam-3071	72	8	7	7	X
ejpam-3071	72	9	)	)	PUNCT
ejpam-3071	72	10	hold	hold	NOUN
ejpam-3071	72	11	and	and	CCONJ
ejpam-3071	72	12	,	,	PUNCT
ejpam-3071	72	13	due	due	ADP
ejpam-3071	72	14	to	to	ADP
ejpam-3071	72	15	the	the	DET
ejpam-3071	72	16	equality	equality	NOUN
ejpam-3071	72	17	(	(	PUNCT
ejpam-3071	72	18	5	5	NUM
ejpam-3071	72	19	)	)	PUNCT
ejpam-3071	72	20	we	we	PRON
ejpam-3071	72	21	have	have	VERB
ejpam-3071	72	22	j1(u(t	j1(u(t	NOUN
ejpam-3071	72	23	,	,	PUNCT
ejpam-3071	72	24	x	x	NOUN
ejpam-3071	72	25	)	)	PUNCT
ejpam-3071	72	26	)	)	PUNCT
ejpam-3071	73	1	=	=	SYM
ejpam-3071	73	2	∫	∫	PROPN
ejpam-3071	74	1	ω	ω	PROPN
ejpam-3071	74	2			PROPN
ejpam-3071	74	3	n∑	n∑	PROPN
ejpam-3071	74	4	i	i	PROPN
ejpam-3071	74	5	,	,	PUNCT
ejpam-3071	74	6	j=1	j=1	PROPN
ejpam-3071	74	7	aij(x	aij(x	PROPN
ejpam-3071	74	8	)	)	PUNCT
ejpam-3071	74	9	∂u(t	∂u(t	PROPN
ejpam-3071	74	10	,	,	PUNCT
ejpam-3071	74	11	x	x	NOUN
ejpam-3071	74	12	)	)	PUNCT
ejpam-3071	74	13	∂xi	∂xi	NOUN
ejpam-3071	74	14	·	·	SYM
ejpam-3071	74	15	∂u(t	∂u(t	PROPN
ejpam-3071	74	16	,	,	PUNCT
ejpam-3071	74	17	x	x	NOUN
ejpam-3071	74	18	)	)	PUNCT
ejpam-3071	74	19	∂xj	∂xj	NOUN
ejpam-3071	74	20			PROPN
ejpam-3071	74	21	dx	dx	PROPN
ejpam-3071	74	22	≤	≤	PROPN
ejpam-3071	74	23	∫	∫	PROPN
ejpam-3071	74	24	ω	ω	PROPN
ejpam-3071	74	25			PROPN
ejpam-3071	74	26	n∑	n∑	PROPN
ejpam-3071	74	27	i	i	PROPN
ejpam-3071	74	28	,	,	PUNCT
ejpam-3071	74	29	j=1	j=1	PROPN
ejpam-3071	74	30	aij(x	aij(x	PROPN
ejpam-3071	74	31	)	)	PUNCT
ejpam-3071	74	32	∂u(t	∂u(t	PROPN
ejpam-3071	74	33	,	,	PUNCT
ejpam-3071	74	34	x	x	NOUN
ejpam-3071	74	35	)	)	PUNCT
ejpam-3071	74	36	∂xi	∂xi	NOUN
ejpam-3071	74	37	·	·	SYM
ejpam-3071	74	38	∂u(t	∂u(t	PROPN
ejpam-3071	74	39	,	,	PUNCT
ejpam-3071	74	40	x	x	NOUN
ejpam-3071	74	41	)	)	PUNCT
ejpam-3071	74	42	∂xj	∂xj	NOUN
ejpam-3071	74	43	+	+	CCONJ
ejpam-3071	74	44	a(x)u2(t	a(x)u2(t	PROPN
ejpam-3071	74	45	,	,	PUNCT
ejpam-3071	74	46	x	x	NOUN
ejpam-3071	74	47	)	)	PUNCT
ejpam-3071	75	1			NOUN
ejpam-3071	75	2	dx	dx	NOUN
ejpam-3071	76	1	=	=	PUNCT
ejpam-3071	76	2	∞∑	∞∑	NUM
ejpam-3071	76	3	s=1	s=1	PUNCT
ejpam-3071	76	4	λ2	λ2	NOUN
ejpam-3071	76	5	su	su	PROPN
ejpam-3071	76	6	2	2	NUM
ejpam-3071	76	7	s(t	s(t	PROPN
ejpam-3071	76	8	)	)	PUNCT
ejpam-3071	76	9	.	.	PUNCT
ejpam-3071	77	1	(	(	PUNCT
ejpam-3071	77	2	8)	8)	NUM
ejpam-3071	77	3	besides	besides	ADV
ejpam-3071	77	4	,	,	PUNCT
ejpam-3071	77	5	for	for	ADP
ejpam-3071	77	6	any	any	DET
ejpam-3071	77	7	function	function	NOUN
ejpam-3071	77	8	u(x	u(x	NOUN
ejpam-3071	77	9	)	)	PUNCT
ejpam-3071	77	10	∈w	∈w	VERB
ejpam-3071	77	11	k	k	PROPN
ejpam-3071	77	12	2	2	NUM
ejpam-3071	77	13	(	(	PUNCT
ejpam-3071	77	14	ω	ω	NOUN
ejpam-3071	77	15	)	)	PUNCT
ejpam-3071	77	16	,	,	PUNCT
ejpam-3071	77	17	the	the	DET
ejpam-3071	77	18	following	follow	VERB
ejpam-3071	77	19	inequality	inequality	NOUN
ejpam-3071	77	20	hold	hold	VERB
ejpam-3071	77	21	[	[	X
ejpam-3071	77	22	9	9	NUM
ejpam-3071	77	23	,	,	PUNCT
ejpam-3071	77	24	p.84	p.84	PROPN
ejpam-3071	77	25	,	,	PUNCT
ejpam-3071	77	26	inequality	inequality	NOUN
ejpam-3071	77	27	(	(	PUNCT
ejpam-3071	77	28	18	18	NUM
ejpam-3071	77	29	)	)	PUNCT
ejpam-3071	77	30	]	]	X
ejpam-3071	77	31	:	:	PUNCT
ejpam-3071	77	32	ak	ak	PROPN
ejpam-3071	77	33	·	·	PUNCT
ejpam-3071	77	34	∫	∫	PROPN
ejpam-3071	77	35	ω	ω	PROPN
ejpam-3071	77	36	∑	∑	PROPN
ejpam-3071	77	37	1≤α1,	1≤α1,	NUM
ejpam-3071	77	38	...	...	PUNCT
ejpam-3071	77	39	,αk≤n	,αk≤n	PUNCT
ejpam-3071	77	40	(	(	PUNCT
ejpam-3071	77	41	∂ku(x	∂ku(x	PROPN
ejpam-3071	77	42	)	)	PUNCT
ejpam-3071	77	43	∂xα1	∂xα1	NOUN
ejpam-3071	77	44	...	...	PUNCT
ejpam-3071	77	45	∂xαk	∂xαk	NOUN
ejpam-3071	77	46	)	)	PUNCT
ejpam-3071	77	47	2	2	NUM
ejpam-3071	77	48	dx	dx	PROPN
ejpam-3071	77	49	≤	≤	NOUN
ejpam-3071	77	50	jk(u	jk(u	PUNCT
ejpam-3071	77	51	)	)	PUNCT
ejpam-3071	77	52	≤	≤	NOUN
ejpam-3071	77	53	bk	bk	ADP
ejpam-3071	77	54	·	·	PUNCT
ejpam-3071	77	55	∫	∫	PROPN
ejpam-3071	77	56	ω	ω	PROPN
ejpam-3071	77	57	∑	∑	PROPN
ejpam-3071	77	58	1≤α1,	1≤α1,	NUM
ejpam-3071	77	59	...	...	PUNCT
ejpam-3071	77	60	,αk≤n	,αk≤n	PUNCT
ejpam-3071	77	61	(	(	PUNCT
ejpam-3071	77	62	∂ku(x	∂ku(x	PROPN
ejpam-3071	77	63	)	)	PUNCT
ejpam-3071	77	64	∂xα1	∂xα1	NOUN
ejpam-3071	77	65	...	...	PUNCT
ejpam-3071	77	66	∂xαk	∂xαk	NOUN
ejpam-3071	77	67	)	)	PUNCT
ejpam-3071	77	68	2	2	NUM
ejpam-3071	77	69	dx	dx	PROPN
ejpam-3071	77	70	(	(	PUNCT
ejpam-3071	77	71	k	k	X
ejpam-3071	77	72	≥	≥	NUM
ejpam-3071	77	73	1	1	NUM
ejpam-3071	77	74	)	)	PUNCT
ejpam-3071	77	75	(	(	PUNCT
ejpam-3071	77	76	9	9	X
ejpam-3071	77	77	)	)	PUNCT
ejpam-3071	77	78	s.	s.	PROPN
ejpam-3071	77	79	j.aliyev	j.aliyev	PROPN
ejpam-3071	77	80	,	,	PUNCT
ejpam-3071	77	81	a.	a.	PROPN
ejpam-3071	77	82	g.aliyeva	g.aliyeva	PROPN
ejpam-3071	77	83	/	/	SYM
ejpam-3071	77	84	eur	eur	PROPN
ejpam-3071	77	85	.	.	PUNCT
ejpam-3071	78	1	j.	j.	PROPN
ejpam-3071	78	2	pure	pure	PROPN
ejpam-3071	78	3	appl	appl	PROPN
ejpam-3071	78	4	.	.	PROPN
ejpam-3071	78	5	math	math	PROPN
ejpam-3071	78	6	,	,	PUNCT
ejpam-3071	78	7	10	10	NUM
ejpam-3071	78	8	(	(	PUNCT
ejpam-3071	78	9	5	5	NUM
ejpam-3071	78	10	)	)	PUNCT
ejpam-3071	78	11	(	(	PUNCT
ejpam-3071	78	12	2017	2017	NUM
ejpam-3071	78	13	)	)	PUNCT
ejpam-3071	78	14	,	,	PUNCT
ejpam-3071	78	15	1078	1078	NUM
ejpam-3071	78	16	-	-	SYM
ejpam-3071	78	17	1091	1091	NUM
ejpam-3071	78	18	1082	1082	NUM
ejpam-3071	78	19	where	where	SCONJ
ejpam-3071	78	20	ak	ak	PROPN
ejpam-3071	78	21	>	>	X
ejpam-3071	78	22	0	0	PROPN
ejpam-3071	78	23	,	,	PUNCT
ejpam-3071	78	24	bk	bk	VERB
ejpam-3071	78	25	>	>	X
ejpam-3071	78	26	0	0	NUM
ejpam-3071	78	27	are	be	AUX
ejpam-3071	78	28	some	some	DET
ejpam-3071	78	29	constants	constant	NOUN
ejpam-3071	78	30	not	not	PART
ejpam-3071	78	31	depending	depend	VERB
ejpam-3071	78	32	on	on	ADP
ejpam-3071	78	33	u(x	u(x	NOUN
ejpam-3071	78	34	)	)	PUNCT
ejpam-3071	78	35	∈w	∈w	VERB
ejpam-3071	78	36	k	k	PROPN
ejpam-3071	78	37	2	2	NUM
ejpam-3071	78	38	(	(	PUNCT
ejpam-3071	78	39	ω	ω	NOUN
ejpam-3071	78	40	)	)	PUNCT
ejpam-3071	78	41	.	.	PUNCT
ejpam-3071	79	1	5	5	X
ejpam-3071	79	2	.	.	X
ejpam-3071	79	3	as	as	ADP
ejpam-3071	79	4	the	the	DET
ejpam-3071	79	5	system	system	NOUN
ejpam-3071	79	6	{	{	PUNCT
ejpam-3071	79	7	υs(x)}∞s=1	υs(x)}∞s=1	VERB
ejpam-3071	79	8	is	be	AUX
ejpam-3071	79	9	complete	complete	ADJ
ejpam-3071	79	10	orthonormal	orthonormal	ADJ
ejpam-3071	79	11	in	in	ADP
ejpam-3071	79	12	l2(ω	l2(ω	PROPN
ejpam-3071	79	13	)	)	PUNCT
ejpam-3071	79	14	,	,	PUNCT
ejpam-3071	79	15	then	then	ADV
ejpam-3071	79	16	it	it	PRON
ejpam-3071	79	17	is	be	AUX
ejpam-3071	79	18	evident	evident	ADJ
ejpam-3071	79	19	that	that	SCONJ
ejpam-3071	79	20	every	every	DET
ejpam-3071	79	21	classical	classical	ADJ
ejpam-3071	79	22	solution	solution	NOUN
ejpam-3071	79	23	of	of	ADP
ejpam-3071	79	24	problem	problem	NOUN
ejpam-3071	79	25	(	(	PUNCT
ejpam-3071	79	26	1)-(3	1)-(3	NOUN
ejpam-3071	79	27	)	)	PUNCT
ejpam-3071	79	28	has	have	VERB
ejpam-3071	79	29	the	the	DET
ejpam-3071	79	30	following	follow	VERB
ejpam-3071	79	31	form	form	NOUN
ejpam-3071	79	32	:	:	PUNCT
ejpam-3071	79	33	u(t	u(t	NOUN
ejpam-3071	79	34	,	,	PUNCT
ejpam-3071	79	35	x	x	NOUN
ejpam-3071	79	36	)	)	PUNCT
ejpam-3071	79	37	=	=	PUNCT
ejpam-3071	80	1	∞∑	∞∑	NUM
ejpam-3071	80	2	s=1	s=1	X
ejpam-3071	80	3	us(t)υs(x	us(t)υs(x	PROPN
ejpam-3071	80	4	)	)	PUNCT
ejpam-3071	80	5	,	,	PUNCT
ejpam-3071	80	6	where	where	SCONJ
ejpam-3071	80	7	us(t	us(t	ADP
ejpam-3071	80	8	)	)	PUNCT
ejpam-3071	80	9	=	=	SYM
ejpam-3071	80	10	∫	∫	PROPN
ejpam-3071	80	11	ω	ω	NUM
ejpam-3071	80	12	u(t	u(t	PROPN
ejpam-3071	80	13	,	,	PUNCT
ejpam-3071	80	14	x)υs(x)dx	x)υs(x)dx	NUM
ejpam-3071	80	15	(	(	PUNCT
ejpam-3071	80	16	s	s	NOUN
ejpam-3071	80	17	=	=	SYM
ejpam-3071	80	18	1	1	NUM
ejpam-3071	80	19	,	,	PUNCT
ejpam-3071	80	20	2	2	NUM
ejpam-3071	80	21	,	,	PUNCT
ejpam-3071	80	22	...	...	PUNCT
ejpam-3071	80	23	)	)	PUNCT
ejpam-3071	80	24	.	.	PUNCT
ejpam-3071	81	1	then	then	ADV
ejpam-3071	81	2	,	,	PUNCT
ejpam-3071	81	3	after	after	ADP
ejpam-3071	81	4	applying	apply	VERB
ejpam-3071	81	5	the	the	DET
ejpam-3071	81	6	fourier	fourier	ADJ
ejpam-3071	81	7	method	method	NOUN
ejpam-3071	81	8	,	,	PUNCT
ejpam-3071	81	9	finding	find	VERB
ejpam-3071	81	10	the	the	DET
ejpam-3071	81	11	unknown	unknown	ADJ
ejpam-3071	81	12	fourier	fourier	NOUN
ejpam-3071	81	13	coefficients	coefficient	NOUN
ejpam-3071	81	14	us(t	us(t	PRON
ejpam-3071	81	15	)	)	PUNCT
ejpam-3071	81	16	(	(	PUNCT
ejpam-3071	81	17	s	s	NOUN
ejpam-3071	81	18	=	=	SYM
ejpam-3071	81	19	1	1	NUM
ejpam-3071	81	20	,	,	PUNCT
ejpam-3071	81	21	2	2	NUM
ejpam-3071	81	22	,	,	PUNCT
ejpam-3071	81	23	...	...	PUNCT
ejpam-3071	81	24	)	)	PUNCT
ejpam-3071	81	25	for	for	ADP
ejpam-3071	81	26	the	the	DET
ejpam-3071	81	27	classical	classical	ADJ
ejpam-3071	81	28	solution	solution	NOUN
ejpam-3071	81	29	u(t	u(t	NOUN
ejpam-3071	81	30	,	,	PUNCT
ejpam-3071	81	31	x	x	NOUN
ejpam-3071	81	32	)	)	PUNCT
ejpam-3071	81	33	of	of	ADP
ejpam-3071	81	34	the	the	DET
ejpam-3071	81	35	problem	problem	NOUN
ejpam-3071	81	36	(	(	PUNCT
ejpam-3071	81	37	1)-(3	1)-(3	NOUN
ejpam-3071	81	38	)	)	PUNCT
ejpam-3071	81	39	is	be	AUX
ejpam-3071	81	40	reduced	reduce	VERB
ejpam-3071	81	41	to	to	ADP
ejpam-3071	81	42	the	the	DET
ejpam-3071	81	43	solution	solution	NOUN
ejpam-3071	81	44	of	of	ADP
ejpam-3071	81	45	the	the	DET
ejpam-3071	81	46	following	follow	VERB
ejpam-3071	81	47	countable	countable	ADJ
ejpam-3071	81	48	system	system	NOUN
ejpam-3071	81	49	of	of	ADP
ejpam-3071	81	50	nonlinear	nonlinear	ADJ
ejpam-3071	81	51	integro	integro	ADJ
ejpam-3071	81	52	-	-	PUNCT
ejpam-3071	81	53	differential	differential	NOUN
ejpam-3071	81	54	equations	equation	NOUN
ejpam-3071	81	55	:	:	PUNCT
ejpam-3071	81	56	us(t	us(t	X
ejpam-3071	81	57	)	)	PUNCT
ejpam-3071	81	58	=	=	SYM
ejpam-3071	82	1	ϕs	ϕs	PUNCT
ejpam-3071	83	1	+	+	CCONJ
ejpam-3071	83	2	1	1	NUM
ejpam-3071	83	3	λ2	λ2	NOUN
ejpam-3071	83	4	s	s	X
ejpam-3071	83	5	(	(	PUNCT
ejpam-3071	83	6	1−	1−	NUM
ejpam-3071	83	7	e−λ2st	e−λ2st	NOUN
ejpam-3071	83	8	)	)	PUNCT
ejpam-3071	83	9	ψs	ψs	ADP
ejpam-3071	83	10	+	+	CCONJ
ejpam-3071	83	11	1	1	NUM
ejpam-3071	83	12	λ2	λ2	NOUN
ejpam-3071	83	13	s	s	VERB
ejpam-3071	83	14	t∫	t∫	NUM
ejpam-3071	83	15	0	0	NUM
ejpam-3071	83	16	∫	∫	PROPN
ejpam-3071	83	17	ω	ω	NUM
ejpam-3071	83	18	=(	=(	PROPN
ejpam-3071	83	19	u(τ	u(τ	PROPN
ejpam-3071	83	20	,	,	PUNCT
ejpam-3071	83	21	x	x	NOUN
ejpam-3071	83	22	)	)	PUNCT
ejpam-3071	83	23	)	)	PUNCT
ejpam-3071	84	1	[	[	PUNCT
ejpam-3071	84	2	1−	1−	NUM
ejpam-3071	84	3	eλ2s(t−τ	eλ2s(t−τ	NOUN
ejpam-3071	84	4	)	)	PUNCT
ejpam-3071	84	5	]	]	PUNCT
ejpam-3071	84	6	υs(x)dxdτ	υs(x)dxdτ	NOUN
ejpam-3071	84	7	(	(	PUNCT
ejpam-3071	84	8	s	s	NOUN
ejpam-3071	84	9	=	=	SYM
ejpam-3071	84	10	1	1	NUM
ejpam-3071	84	11	,	,	PUNCT
ejpam-3071	84	12	2	2	NUM
ejpam-3071	84	13	,	,	PUNCT
ejpam-3071	84	14	...	...	PUNCT
ejpam-3071	84	15	;	;	PUNCT
ejpam-3071	84	16	t	t	PROPN
ejpam-3071	84	17	∈	∈	PROPN
ejpam-3071	85	1	[	[	X
ejpam-3071	85	2	0	0	NUM
ejpam-3071	85	3	,	,	PUNCT
ejpam-3071	85	4	t	t	X
ejpam-3071	85	5	]	]	PUNCT
ejpam-3071	85	6	)	)	PUNCT
ejpam-3071	85	7	,	,	PUNCT
ejpam-3071	85	8	(	(	PUNCT
ejpam-3071	85	9	10	10	NUM
ejpam-3071	85	10	)	)	PUNCT
ejpam-3071	85	11	where	where	SCONJ
ejpam-3071	85	12	ϕs	ϕs	ADP
ejpam-3071	85	13	=	=	SYM
ejpam-3071	86	1	∫	∫	PROPN
ejpam-3071	86	2	ω	ω	PROPN
ejpam-3071	86	3	ϕ(x)υs(x)dx	ϕ(x)υs(x)dx	PROPN
ejpam-3071	86	4	,	,	PUNCT
ejpam-3071	86	5	ψs	ψs	NOUN
ejpam-3071	86	6	=	=	PROPN
ejpam-3071	86	7	∫	∫	PROPN
ejpam-3071	86	8	ω	ω	PROPN
ejpam-3071	86	9	ψ(x)υs(x)dx	ψ(x)υs(x)dx	VERB
ejpam-3071	86	10	(	(	PUNCT
ejpam-3071	86	11	s	s	NOUN
ejpam-3071	86	12	=	=	SYM
ejpam-3071	86	13	1	1	NUM
ejpam-3071	86	14	,	,	PUNCT
ejpam-3071	86	15	2	2	NUM
ejpam-3071	86	16	,	,	PUNCT
ejpam-3071	86	17	...	...	PUNCT
ejpam-3071	86	18	)	)	PUNCT
ejpam-3071	86	19	,	,	PUNCT
ejpam-3071	86	20	=(	=(	X
ejpam-3071	86	21	u(τ	u(τ	PROPN
ejpam-3071	86	22	,	,	PUNCT
ejpam-3071	86	23	x	x	NOUN
ejpam-3071	86	24	)	)	PUNCT
ejpam-3071	86	25	)	)	PUNCT
ejpam-3071	87	1	≡	≡	PROPN
ejpam-3071	87	2	f	f	PROPN
ejpam-3071	87	3	(	(	PUNCT
ejpam-3071	87	4	τ	τ	PROPN
ejpam-3071	87	5	,	,	PUNCT
ejpam-3071	87	6	x	x	X
ejpam-3071	87	7	,	,	PUNCT
ejpam-3071	87	8	u(τ	u(τ	ADJ
ejpam-3071	87	9	,	,	PUNCT
ejpam-3071	87	10	x	x	NOUN
ejpam-3071	87	11	)	)	PUNCT
ejpam-3071	87	12	,	,	PUNCT
ejpam-3071	87	13	uτ	uτ	PROPN
ejpam-3071	87	14	(	(	PUNCT
ejpam-3071	87	15	τ	τ	PROPN
ejpam-3071	87	16	,	,	PUNCT
ejpam-3071	87	17	x	x	NOUN
ejpam-3071	87	18	)	)	PUNCT
ejpam-3071	87	19	,	,	PUNCT
ejpam-3071	87	20	ux(τ	ux(τ	NOUN
ejpam-3071	87	21	,	,	PUNCT
ejpam-3071	87	22	x	x	NOUN
ejpam-3071	87	23	)	)	PUNCT
ejpam-3071	87	24	,	,	PUNCT
ejpam-3071	87	25	uτ	uτ	PROPN
ejpam-3071	87	26	x(τ	x(τ	PROPN
ejpam-3071	87	27	,	,	PUNCT
ejpam-3071	87	28	x	x	NOUN
ejpam-3071	87	29	)	)	PUNCT
ejpam-3071	87	30	,	,	PUNCT
ejpam-3071	87	31	uxx(τ	uxx(τ	PROPN
ejpam-3071	87	32	,	,	PUNCT
ejpam-3071	87	33	x	x	NOUN
ejpam-3071	87	34	)	)	PUNCT
ejpam-3071	87	35	)	)	PUNCT
ejpam-3071	87	36	.	.	PUNCT
ejpam-3071	88	1	(	(	PUNCT
ejpam-3071	88	2	11	11	X
ejpam-3071	88	3	)	)	PUNCT
ejpam-3071	88	4	proceeding	proceed	VERB
ejpam-3071	88	5	from	from	ADP
ejpam-3071	88	6	the	the	DET
ejpam-3071	88	7	definition	definition	NOUN
ejpam-3071	88	8	of	of	ADP
ejpam-3071	88	9	classical	classical	ADJ
ejpam-3071	88	10	solution	solution	NOUN
ejpam-3071	88	11	of	of	ADP
ejpam-3071	88	12	problem	problem	NOUN
ejpam-3071	88	13	(	(	PUNCT
ejpam-3071	88	14	1)-(3	1)-(3	NUM
ejpam-3071	88	15	)	)	PUNCT
ejpam-3071	88	16	,	,	PUNCT
ejpam-3071	88	17	it	it	PRON
ejpam-3071	88	18	is	be	AUX
ejpam-3071	88	19	easy	easy	ADJ
ejpam-3071	88	20	to	to	PART
ejpam-3071	88	21	prove	prove	VERB
ejpam-3071	88	22	the	the	DET
ejpam-3071	88	23	following	follow	VERB
ejpam-3071	88	24	lemma	lemma	PROPN
ejpam-3071	88	25	2	2	NUM
ejpam-3071	88	26	.	.	PUNCT
ejpam-3071	89	1	if	if	SCONJ
ejpam-3071	89	2	u(t	u(t	NOUN
ejpam-3071	89	3	,	,	PUNCT
ejpam-3071	89	4	x	x	NOUN
ejpam-3071	89	5	)	)	PUNCT
ejpam-3071	89	6	=	=	PUNCT
ejpam-3071	89	7	∞∑	∞∑	NUM
ejpam-3071	89	8	s=1	s=1	X
ejpam-3071	89	9	us(t)υs(x	us(t)υs(x	X
ejpam-3071	89	10	)	)	PUNCT
ejpam-3071	89	11	is	be	AUX
ejpam-3071	89	12	any	any	DET
ejpam-3071	89	13	classical	classical	ADJ
ejpam-3071	89	14	solution	solution	NOUN
ejpam-3071	89	15	of	of	ADP
ejpam-3071	89	16	problem	problem	NOUN
ejpam-3071	89	17	(	(	PUNCT
ejpam-3071	89	18	1)-(3	1)-(3	NUM
ejpam-3071	89	19	)	)	PUNCT
ejpam-3071	89	20	and	and	CCONJ
ejpam-3071	89	21	the	the	DET
ejpam-3071	89	22	generalized	generalized	ADJ
ejpam-3071	89	23	derivatives	derivative	NOUN
ejpam-3071	89	24	∂	∂	ADJ
ejpam-3071	89	25	∂xk	∂xk	PROPN
ejpam-3071	89	26	aij(x	aij(x	PROPN
ejpam-3071	89	27	)	)	PUNCT
ejpam-3071	89	28	(	(	PUNCT
ejpam-3071	89	29	i	i	PROPN
ejpam-3071	89	30	,	,	PUNCT
ejpam-3071	89	31	j	j	PROPN
ejpam-3071	89	32	,	,	PUNCT
ejpam-3071	89	33	k	k	PROPN
ejpam-3071	89	34	=	=	SYM
ejpam-3071	89	35	1	1	NUM
ejpam-3071	89	36	,	,	PUNCT
ejpam-3071	89	37	2	2	NUM
ejpam-3071	89	38	,	,	PUNCT
ejpam-3071	89	39	...	...	PUNCT
ejpam-3071	89	40	,	,	PUNCT
ejpam-3071	89	41	n	n	CCONJ
ejpam-3071	89	42	)	)	PUNCT
ejpam-3071	89	43	are	be	AUX
ejpam-3071	89	44	bounded	bound	VERB
ejpam-3071	89	45	on	on	ADP
ejpam-3071	89	46	ω	ω	PROPN
ejpam-3071	89	47	,	,	PUNCT
ejpam-3071	89	48	then	then	ADV
ejpam-3071	89	49	functions	function	NOUN
ejpam-3071	89	50	us(t	us(t	NOUN
ejpam-3071	89	51	)	)	PUNCT
ejpam-3071	89	52	(	(	PUNCT
ejpam-3071	89	53	s	s	NOUN
ejpam-3071	89	54	=	=	SYM
ejpam-3071	89	55	1	1	NUM
ejpam-3071	89	56	,	,	PUNCT
ejpam-3071	89	57	2	2	NUM
ejpam-3071	89	58	,	,	PUNCT
ejpam-3071	89	59	...	...	PUNCT
ejpam-3071	89	60	)	)	PUNCT
ejpam-3071	89	61	satisfy	satisfy	NOUN
ejpam-3071	89	62	system	system	NOUN
ejpam-3071	89	63	(	(	PUNCT
ejpam-3071	89	64	10	10	NUM
ejpam-3071	89	65	)	)	PUNCT
ejpam-3071	89	66	.	.	PUNCT
ejpam-3071	90	1	proof	proof	NOUN
ejpam-3071	90	2	.	.	PUNCT
ejpam-3071	91	1	let	let	VERB
ejpam-3071	91	2	u(t	u(t	PROPN
ejpam-3071	91	3	,	,	PUNCT
ejpam-3071	91	4	x	x	NOUN
ejpam-3071	91	5	)	)	PUNCT
ejpam-3071	91	6	=	=	PUNCT
ejpam-3071	91	7	∞∑	∞∑	NUM
ejpam-3071	91	8	s=1	s=1	X
ejpam-3071	91	9	us(t)υs(x	us(t)υs(x	X
ejpam-3071	91	10	)	)	PUNCT
ejpam-3071	91	11	be	be	VERB
ejpam-3071	91	12	any	any	DET
ejpam-3071	91	13	classical	classical	ADJ
ejpam-3071	91	14	solution	solution	NOUN
ejpam-3071	91	15	of	of	ADP
ejpam-3071	91	16	problem	problem	NOUN
ejpam-3071	91	17	(	(	PUNCT
ejpam-3071	91	18	1)-(3	1)-(3	NUM
ejpam-3071	91	19	)	)	PUNCT
ejpam-3071	91	20	.	.	PUNCT
ejpam-3071	92	1	then	then	ADV
ejpam-3071	92	2	it	it	PRON
ejpam-3071	92	3	is	be	AUX
ejpam-3071	92	4	evident	evident	ADJ
ejpam-3071	93	1	that	that	SCONJ
ejpam-3071	93	2	t∫	t∫	PRON
ejpam-3071	93	3	0	0	NUM
ejpam-3071	93	4	∫	∫	PROPN
ejpam-3071	93	5	ω	ω	PROPN
ejpam-3071	93	6	{	{	PUNCT
ejpam-3071	93	7	utt(t	utt(t	PROPN
ejpam-3071	93	8	,	,	PUNCT
ejpam-3071	93	9	x)−	x)−	PROPN
ejpam-3071	93	10	∂	∂	NOUN
ejpam-3071	94	1	∂t	∂t	PROPN
ejpam-3071	94	2	(	(	PUNCT
ejpam-3071	94	3	l(u(t	l(u(t	PROPN
ejpam-3071	94	4	,	,	PUNCT
ejpam-3071	94	5	x)))−=(u(t	x)))−=(u(t	PROPN
ejpam-3071	94	6	,	,	PUNCT
ejpam-3071	94	7	x	x	NOUN
ejpam-3071	94	8	)	)	PUNCT
ejpam-3071	94	9	)	)	PUNCT
ejpam-3071	94	10	}	}	PUNCT
ejpam-3071	94	11	φ(t	φ(t	PROPN
ejpam-3071	94	12	,	,	PUNCT
ejpam-3071	94	13	x)dxdt	x)dxdt	PUNCT
ejpam-3071	95	1	=	=	SYM
ejpam-3071	95	2	0	0	PUNCT
ejpam-3071	95	3	(	(	PUNCT
ejpam-3071	95	4	12	12	NUM
ejpam-3071	95	5	)	)	PUNCT
ejpam-3071	95	6	for	for	ADP
ejpam-3071	95	7	each	each	DET
ejpam-3071	95	8	φ(t	φ(t	PROPN
ejpam-3071	95	9	,	,	PUNCT
ejpam-3071	95	10	x	x	X
ejpam-3071	95	11	)	)	PUNCT
ejpam-3071	95	12	∈	∈	PROPN
ejpam-3071	95	13	l2(qt	l2(qt	PROPN
ejpam-3071	95	14	)	)	PUNCT
ejpam-3071	95	15	,	,	PUNCT
ejpam-3071	95	16	and	and	CCONJ
ejpam-3071	95	17	=	=	PRON
ejpam-3071	95	18	is	be	AUX
ejpam-3071	95	19	defined	define	VERB
ejpam-3071	95	20	by	by	ADP
ejpam-3071	95	21	(	(	PUNCT
ejpam-3071	95	22	11	11	NUM
ejpam-3071	95	23	)	)	PUNCT
ejpam-3071	95	24	.	.	PUNCT
ejpam-3071	96	1	s.	s.	PROPN
ejpam-3071	96	2	j.aliyev	j.aliyev	PROPN
ejpam-3071	96	3	,	,	PUNCT
ejpam-3071	96	4	a.	a.	PROPN
ejpam-3071	96	5	g.aliyeva	g.aliyeva	PROPN
ejpam-3071	96	6	/	/	SYM
ejpam-3071	96	7	eur	eur	PROPN
ejpam-3071	96	8	.	.	PUNCT
ejpam-3071	97	1	j.	j.	PROPN
ejpam-3071	97	2	pure	pure	PROPN
ejpam-3071	97	3	appl	appl	PROPN
ejpam-3071	97	4	.	.	PROPN
ejpam-3071	97	5	math	math	PROPN
ejpam-3071	97	6	,	,	PUNCT
ejpam-3071	97	7	10	10	NUM
ejpam-3071	97	8	(	(	PUNCT
ejpam-3071	97	9	5	5	NUM
ejpam-3071	97	10	)	)	PUNCT
ejpam-3071	97	11	(	(	PUNCT
ejpam-3071	97	12	2017	2017	NUM
ejpam-3071	97	13	)	)	PUNCT
ejpam-3071	97	14	,	,	PUNCT
ejpam-3071	97	15	1078	1078	NUM
ejpam-3071	97	16	-	-	SYM
ejpam-3071	97	17	1091	1091	NUM
ejpam-3071	97	18	1083	1083	NUM
ejpam-3071	97	19	if	if	SCONJ
ejpam-3071	97	20	,	,	PUNCT
ejpam-3071	97	21	in	in	ADP
ejpam-3071	97	22	particular	particular	ADJ
ejpam-3071	97	23	,	,	PUNCT
ejpam-3071	97	24	we	we	PRON
ejpam-3071	97	25	take	take	VERB
ejpam-3071	97	26	φ(t	φ(t	PROPN
ejpam-3071	97	27	,	,	PUNCT
ejpam-3071	97	28	x	x	X
ejpam-3071	97	29	)	)	PUNCT
ejpam-3071	97	30	=	=	SYM
ejpam-3071	97	31	{	{	PUNCT
ejpam-3071	97	32	(	(	PUNCT
ejpam-3071	97	33	t−	t−	PROPN
ejpam-3071	97	34	τ)2υs(x	τ)2υs(x	NOUN
ejpam-3071	97	35	)	)	PUNCT
ejpam-3071	97	36	for	for	ADP
ejpam-3071	97	37	0	0	NUM
ejpam-3071	97	38	≤	≤	NUM
ejpam-3071	97	39	t	t	NOUN
ejpam-3071	97	40	≤	≤	NUM
ejpam-3071	97	41	τ	τ	X
ejpam-3071	97	42	,	,	PUNCT
ejpam-3071	97	43	x	x	PROPN
ejpam-3071	97	44	∈	∈	PROPN
ejpam-3071	97	45	ω	ω	PROPN
ejpam-3071	97	46	,	,	PUNCT
ejpam-3071	97	47	0	0	NUM
ejpam-3071	97	48	for	for	ADP
ejpam-3071	97	49	τ	τ	PROPN
ejpam-3071	97	50	<	<	X
ejpam-3071	97	51	t	t	PROPN
ejpam-3071	97	52	≤	≤	PROPN
ejpam-3071	97	53	t	t	PROPN
ejpam-3071	97	54	,	,	PUNCT
ejpam-3071	97	55	x	x	X
ejpam-3071	97	56	∈	∈	PROPN
ejpam-3071	97	57	ω	ω	PROPN
ejpam-3071	97	58	,	,	PUNCT
ejpam-3071	97	59	where	where	SCONJ
ejpam-3071	97	60	s	s	VERB
ejpam-3071	97	61	=	=	SYM
ejpam-3071	97	62	1	1	NUM
ejpam-3071	97	63	,	,	PUNCT
ejpam-3071	97	64	2	2	NUM
ejpam-3071	97	65	,	,	PUNCT
ejpam-3071	97	66	...	...	PUNCT
ejpam-3071	97	67	and	and	CCONJ
ejpam-3071	97	68	τ	τ	PROPN
ejpam-3071	97	69	∈	∈	PROPN
ejpam-3071	98	1	[	[	X
ejpam-3071	98	2	0	0	NUM
ejpam-3071	98	3	,	,	PUNCT
ejpam-3071	98	4	t	t	X
ejpam-3071	98	5	]	]	PUNCT
ejpam-3071	98	6	,	,	PUNCT
ejpam-3071	98	7	then	then	ADV
ejpam-3071	98	8	with	with	ADP
ejpam-3071	98	9	the	the	DET
ejpam-3071	98	10	help	help	NOUN
ejpam-3071	98	11	of	of	ADP
ejpam-3071	98	12	integration	integration	NOUN
ejpam-3071	98	13	by	by	ADP
ejpam-3071	98	14	parts	part	NOUN
ejpam-3071	98	15	with	with	ADP
ejpam-3071	98	16	respect	respect	NOUN
ejpam-3071	98	17	to	to	ADP
ejpam-3071	98	18	t	t	PROPN
ejpam-3071	98	19	twice	twice	ADV
ejpam-3071	98	20	in	in	ADP
ejpam-3071	98	21	the	the	DET
ejpam-3071	98	22	first	first	ADJ
ejpam-3071	98	23	term	term	NOUN
ejpam-3071	98	24	and	and	CCONJ
ejpam-3071	98	25	once	once	ADV
ejpam-3071	98	26	in	in	ADP
ejpam-3071	98	27	the	the	DET
ejpam-3071	98	28	second	second	ADJ
ejpam-3071	98	29	term	term	NOUN
ejpam-3071	98	30	of	of	ADP
ejpam-3071	98	31	(	(	PUNCT
ejpam-3071	98	32	12	12	NUM
ejpam-3071	98	33	)	)	PUNCT
ejpam-3071	98	34	and	and	CCONJ
ejpam-3071	98	35	taking	take	VERB
ejpam-3071	98	36	the	the	DET
ejpam-3071	98	37	initial	initial	ADJ
ejpam-3071	98	38	conditions	condition	NOUN
ejpam-3071	98	39	(	(	PUNCT
ejpam-3071	98	40	2	2	NUM
ejpam-3071	98	41	)	)	PUNCT
ejpam-3071	98	42	into	into	ADP
ejpam-3071	98	43	consideration	consideration	NOUN
ejpam-3071	98	44	we	we	PRON
ejpam-3071	98	45	easily	easily	ADV
ejpam-3071	98	46	get	get	VERB
ejpam-3071	98	47	2	2	NUM
ejpam-3071	98	48	τ∫	τ∫	NOUN
ejpam-3071	98	49	0	0	NUM
ejpam-3071	99	1	us(t)dt−	us(t)dt−	PROPN
ejpam-3071	99	2	2λ2	2λ2	NUM
ejpam-3071	99	3	s	s	PART
ejpam-3071	99	4	τ∫	τ∫	X
ejpam-3071	99	5	0	0	NUM
ejpam-3071	99	6	(	(	PUNCT
ejpam-3071	99	7	t−	t−	PROPN
ejpam-3071	99	8	τ)us(t)dt−	τ)us(t)dt−	X
ejpam-3071	99	9	τ∫	τ∫	X
ejpam-3071	99	10	0	0	NUM
ejpam-3071	99	11	(	(	PUNCT
ejpam-3071	99	12	t−	t−	PROPN
ejpam-3071	99	13	τ)2	τ)2	PROPN
ejpam-3071	99	14	=	=	SYM
ejpam-3071	99	15	s(u	s(u	PROPN
ejpam-3071	99	16	,	,	PUNCT
ejpam-3071	99	17	t)dt	t)dt	PROPN
ejpam-3071	99	18	−2τϕs	−2τϕ	NOUN
ejpam-3071	99	19	−	−	NOUN
ejpam-3071	99	20	τ2ψs	τ2ψs	PUNCT
ejpam-3071	99	21	−	−	PROPN
ejpam-3071	99	22	λ2	λ2	NOUN
ejpam-3071	99	23	sτ	sτ	VERB
ejpam-3071	99	24	2ϕs	2ϕs	NOUN
ejpam-3071	99	25	=	=	SYM
ejpam-3071	99	26	0	0	NUM
ejpam-3071	99	27	,	,	PUNCT
ejpam-3071	99	28	(	(	PUNCT
ejpam-3071	99	29	13	13	NUM
ejpam-3071	99	30	)	)	PUNCT
ejpam-3071	100	1	where	where	SCONJ
ejpam-3071	100	2	=	=	NOUN
ejpam-3071	100	3	s(u	s(u	PROPN
ejpam-3071	100	4	,	,	PUNCT
ejpam-3071	100	5	t	t	PROPN
ejpam-3071	100	6	)	)	PUNCT
ejpam-3071	100	7	≡	≡	PROPN
ejpam-3071	100	8	∫	∫	PROPN
ejpam-3071	100	9	ω	ω	NUM
ejpam-3071	100	10	=(	=(	PROPN
ejpam-3071	100	11	u(t	u(t	PROPN
ejpam-3071	100	12	,	,	PUNCT
ejpam-3071	100	13	x))υs(x)dx	x))υs(x)dx	NUM
ejpam-3071	100	14	.	.	PUNCT
ejpam-3071	101	1	differentiating	differentiate	VERB
ejpam-3071	101	2	(	(	PUNCT
ejpam-3071	101	3	13	13	NUM
ejpam-3071	101	4	)	)	PUNCT
ejpam-3071	101	5	three	three	NUM
ejpam-3071	101	6	times	time	NOUN
ejpam-3071	101	7	with	with	ADP
ejpam-3071	101	8	respect	respect	NOUN
ejpam-3071	101	9	to	to	ADP
ejpam-3071	101	10	τ	τ	PROPN
ejpam-3071	101	11	we	we	PRON
ejpam-3071	101	12	have	have	VERB
ejpam-3071	101	13	the	the	DET
ejpam-3071	101	14	next	next	ADJ
ejpam-3071	101	15	problem	problem	NOUN
ejpam-3071	101	16	{	{	PUNCT
ejpam-3071	101	17	u′′s(τ	u′′s(τ	NOUN
ejpam-3071	101	18	)	)	PUNCT
ejpam-3071	102	1	+	+	CCONJ
ejpam-3071	103	1	λ2	λ2	NOUN
ejpam-3071	103	2	su	su	PROPN
ejpam-3071	103	3	′	′	NUM
ejpam-3071	103	4	s(τ	s(τ	PROPN
ejpam-3071	103	5	)	)	PUNCT
ejpam-3071	103	6	=	=	PUNCT
ejpam-3071	104	1	=	=	SYM
ejpam-3071	104	2	s(u	s(u	PROPN
ejpam-3071	104	3	,	,	PUNCT
ejpam-3071	104	4	τ	τ	X
ejpam-3071	104	5	)	)	PUNCT
ejpam-3071	104	6	(	(	PUNCT
ejpam-3071	104	7	s	s	NOUN
ejpam-3071	104	8	=	=	SYM
ejpam-3071	104	9	1	1	NUM
ejpam-3071	104	10	,	,	PUNCT
ejpam-3071	104	11	2	2	NUM
ejpam-3071	104	12	,	,	PUNCT
ejpam-3071	104	13	...	...	PUNCT
ejpam-3071	104	14	;	;	PUNCT
ejpam-3071	104	15	t	t	PROPN
ejpam-3071	104	16	∈	∈	PROPN
ejpam-3071	105	1	[	[	X
ejpam-3071	105	2	0	0	NUM
ejpam-3071	105	3	,	,	PUNCT
ejpam-3071	105	4	t	t	X
ejpam-3071	105	5	]	]	PUNCT
ejpam-3071	105	6	)	)	PUNCT
ejpam-3071	105	7	,	,	PUNCT
ejpam-3071	105	8	us(0	us(0	NOUN
ejpam-3071	105	9	)	)	PUNCT
ejpam-3071	105	10	=	=	SYM
ejpam-3071	105	11	ϕs	ϕs	PROPN
ejpam-3071	105	12	,	,	PUNCT
ejpam-3071	105	13	u′s(0	u′s(0	NUM
ejpam-3071	105	14	)	)	PUNCT
ejpam-3071	105	15	=	=	SYM
ejpam-3071	105	16	ψs	ψs	NOUN
ejpam-3071	105	17	,	,	PUNCT
ejpam-3071	105	18	which	which	PRON
ejpam-3071	105	19	is	be	AUX
ejpam-3071	105	20	obviously	obviously	ADV
ejpam-3071	105	21	equivalent	equivalent	ADJ
ejpam-3071	105	22	to	to	ADP
ejpam-3071	105	23	system	system	NOUN
ejpam-3071	105	24	(	(	PUNCT
ejpam-3071	105	25	10	10	NUM
ejpam-3071	105	26	)	)	PUNCT
ejpam-3071	105	27	.	.	PUNCT
ejpam-3071	106	1	lemma	lemma	PROPN
ejpam-3071	106	2	is	be	AUX
ejpam-3071	106	3	proved	prove	VERB
ejpam-3071	106	4	.	.	PUNCT
ejpam-3071	107	1	6	6	X
ejpam-3071	107	2	.	.	X
ejpam-3071	107	3	we	we	PRON
ejpam-3071	107	4	agree	agree	VERB
ejpam-3071	107	5	to	to	PART
ejpam-3071	107	6	assume	assume	VERB
ejpam-3071	107	7	that	that	SCONJ
ejpam-3071	107	8	all	all	DET
ejpam-3071	107	9	the	the	DET
ejpam-3071	107	10	quantities	quantity	NOUN
ejpam-3071	107	11	throughout	throughout	ADP
ejpam-3071	107	12	this	this	DET
ejpam-3071	107	13	work	work	NOUN
ejpam-3071	107	14	are	be	AUX
ejpam-3071	107	15	real	real	ADJ
ejpam-3071	107	16	,	,	PUNCT
ejpam-3071	107	17	all	all	DET
ejpam-3071	107	18	the	the	DET
ejpam-3071	107	19	functions	function	NOUN
ejpam-3071	107	20	are	be	AUX
ejpam-3071	107	21	real	real	ADJ
ejpam-3071	107	22	–	–	PUNCT
ejpam-3071	107	23	valued	value	VERB
ejpam-3071	107	24	,	,	PUNCT
ejpam-3071	107	25	and	and	CCONJ
ejpam-3071	107	26	all	all	DET
ejpam-3071	107	27	the	the	DET
ejpam-3071	107	28	integrals	integral	NOUN
ejpam-3071	107	29	are	be	AUX
ejpam-3071	107	30	understood	understand	VERB
ejpam-3071	107	31	in	in	ADP
ejpam-3071	107	32	the	the	DET
ejpam-3071	107	33	sense	sense	NOUN
ejpam-3071	107	34	of	of	ADP
ejpam-3071	107	35	lebesgue	lebesgue	NOUN
ejpam-3071	107	36	.	.	PUNCT
ejpam-3071	108	1	3	3	X
ejpam-3071	108	2	.	.	X
ejpam-3071	108	3	main	main	ADJ
ejpam-3071	108	4	result	result	NOUN
ejpam-3071	108	5	in	in	ADP
ejpam-3071	108	6	this	this	DET
ejpam-3071	108	7	section	section	NOUN
ejpam-3071	108	8	,	,	PUNCT
ejpam-3071	108	9	using	use	VERB
ejpam-3071	108	10	contracted	contract	VERB
ejpam-3071	108	11	mappings	mapping	NOUN
ejpam-3071	108	12	principle	principle	NOUN
ejpam-3071	108	13	,	,	PUNCT
ejpam-3071	108	14	the	the	DET
ejpam-3071	108	15	following	follow	VERB
ejpam-3071	108	16	existence	existence	NOUN
ejpam-3071	108	17	in	in	ADP
ejpam-3071	108	18	small	small	ADJ
ejpam-3071	108	19	(	(	PUNCT
ejpam-3071	108	20	i.e.	i.e.	X
ejpam-3071	108	21	for	for	ADP
ejpam-3071	108	22	sufficiently	sufficiently	ADV
ejpam-3071	108	23	small	small	ADJ
ejpam-3071	108	24	values	value	NOUN
ejpam-3071	108	25	of	of	ADP
ejpam-3071	108	26	t	t	NOUN
ejpam-3071	108	27	)	)	PUNCT
ejpam-3071	108	28	theorem	theorem	NOUN
ejpam-3071	108	29	for	for	ADP
ejpam-3071	108	30	the	the	DET
ejpam-3071	108	31	classical	classical	ADJ
ejpam-3071	108	32	solution	solution	NOUN
ejpam-3071	108	33	of	of	ADP
ejpam-3071	108	34	problem	problem	NOUN
ejpam-3071	108	35	(	(	PUNCT
ejpam-3071	108	36	1)-(3	1)-(3	NOUN
ejpam-3071	108	37	)	)	PUNCT
ejpam-3071	108	38	is	be	AUX
ejpam-3071	108	39	proved	prove	VERB
ejpam-3071	108	40	for	for	ADP
ejpam-3071	108	41	n	n	CCONJ
ejpam-3071	108	42	:	:	PUNCT
ejpam-3071	108	43	theorem	theorem	NOUN
ejpam-3071	108	44	1	1	NUM
ejpam-3071	108	45	.	.	PUNCT
ejpam-3071	109	1	let	let	VERB
ejpam-3071	109	2	1	1	NUM
ejpam-3071	109	3	.	.	PUNCT
ejpam-3071	110	1	aij(x	aij(x	X
ejpam-3071	110	2	)	)	PUNCT
ejpam-3071	110	3	∈	∈	NOUN
ejpam-3071	110	4	c[n2	c[n2	NOUN
ejpam-3071	110	5	]	]	PUNCT
ejpam-3071	110	6	+3(ω̄	+3(ω̄	NUM
ejpam-3071	110	7	)	)	PUNCT
ejpam-3071	110	8	(	(	PUNCT
ejpam-3071	110	9	i	i	PRON
ejpam-3071	110	10	,	,	PUNCT
ejpam-3071	110	11	j	j	PROPN
ejpam-3071	110	12	=	=	SYM
ejpam-3071	110	13	1	1	NUM
ejpam-3071	110	14	,	,	PUNCT
ejpam-3071	110	15	2	2	NUM
ejpam-3071	110	16	,	,	PUNCT
ejpam-3071	110	17	...	...	PUNCT
ejpam-3071	110	18	,	,	PUNCT
ejpam-3071	110	19	n	n	CCONJ
ejpam-3071	110	20	)	)	PUNCT
ejpam-3071	110	21	;	;	PUNCT
ejpam-3071	110	22	a(x	a(x	PROPN
ejpam-3071	110	23	)	)	PUNCT
ejpam-3071	110	24	∈	∈	PROPN
ejpam-3071	110	25	c[n2	c[n2	NOUN
ejpam-3071	110	26	]	]	PUNCT
ejpam-3071	110	27	+2(ω̄	+2(ω̄	NUM
ejpam-3071	110	28	)	)	PUNCT
ejpam-3071	110	29	;	;	PUNCT
ejpam-3071	110	30	s	s	X
ejpam-3071	110	31	∈	∈	PROPN
ejpam-3071	110	32	c[n2	c[n2	NOUN
ejpam-3071	110	33	]	]	X
ejpam-3071	110	34	+4	+4	ADJ
ejpam-3071	110	35	;	;	PUNCT
ejpam-3071	110	36	the	the	DET
ejpam-3071	110	37	eigenfunctions	eigenfunction	NOUN
ejpam-3071	110	38	υs(x	υs(x	PUNCT
ejpam-3071	110	39	)	)	PUNCT
ejpam-3071	110	40	of	of	ADP
ejpam-3071	110	41	the	the	DET
ejpam-3071	110	42	operator	operator	NOUN
ejpam-3071	110	43	l	l	NOUN
ejpam-3071	110	44	under	under	ADP
ejpam-3071	110	45	boundary	boundary	ADJ
ejpam-3071	110	46	condition	condition	NOUN
ejpam-3071	110	47	υs(x)|s	υs(x)|	VERB
ejpam-3071	110	48	=	=	SYM
ejpam-3071	110	49	0	0	NUM
ejpam-3071	110	50	be	be	AUX
ejpam-3071	110	51	[	[	PUNCT
ejpam-3071	110	52	n	n	NOUN
ejpam-3071	110	53	2	2	NUM
ejpam-3071	110	54	]	]	PUNCT
ejpam-3071	110	55	+	+	CCONJ
ejpam-3071	110	56	4	4	NUM
ejpam-3071	110	57	times	time	NOUN
ejpam-3071	110	58	continuously	continuously	ADV
ejpam-3071	110	59	differentiable	differentiable	VERB
ejpam-3071	110	60	on	on	ADP
ejpam-3071	110	61	ω̄.	ω̄.	NOUN
ejpam-3071	110	62	2	2	NUM
ejpam-3071	110	63	.	.	PUNCT
ejpam-3071	111	1	ϕ(x	ϕ(x	PROPN
ejpam-3071	111	2	)	)	PUNCT
ejpam-3071	111	3	∈	∈	PROPN
ejpam-3071	111	4	w	w	PROPN
ejpam-3071	112	1	[	[	X
ejpam-3071	112	2	n2	n2	NOUN
ejpam-3071	112	3	]	]	X
ejpam-3071	112	4	+4	+4	PROPN
ejpam-3071	112	5	2	2	NUM
ejpam-3071	112	6	(	(	PUNCT
ejpam-3071	112	7	ω	ω	NOUN
ejpam-3071	112	8	)	)	PUNCT
ejpam-3071	112	9	,	,	PUNCT
ejpam-3071	112	10	ϕ(x	ϕ(x	PROPN
ejpam-3071	112	11	)	)	PUNCT
ejpam-3071	112	12	,	,	PUNCT
ejpam-3071	112	13	lϕ(x	lϕ(x	PUNCT
ejpam-3071	112	14	)	)	PUNCT
ejpam-3071	112	15	,	,	PUNCT
ejpam-3071	112	16	...	...	PUNCT
ejpam-3071	112	17	,	,	PUNCT
ejpam-3071	112	18	l	l	X
ejpam-3071	112	19	[	[	PUNCT
ejpam-3071	112	20	n+2	n+2	NOUN
ejpam-3071	112	21	4	4	NUM
ejpam-3071	112	22	]	]	PUNCT
ejpam-3071	112	23	+1	+1	PROPN
ejpam-3071	112	24	ϕ(x	ϕ(x	NOUN
ejpam-3071	112	25	)	)	PUNCT
ejpam-3071	112	26	∈	∈	PROPN
ejpam-3071	112	27	◦	◦	NOUN
ejpam-3071	112	28	d(ω	d(ω	PROPN
ejpam-3071	112	29	)	)	PUNCT
ejpam-3071	112	30	;	;	PUNCT
ejpam-3071	112	31	ψ(x	ψ(x	X
ejpam-3071	112	32	)	)	PUNCT
ejpam-3071	112	33	∈	∈	PROPN
ejpam-3071	112	34	w	w	PROPN
ejpam-3071	113	1	[	[	X
ejpam-3071	113	2	n2	n2	NOUN
ejpam-3071	113	3	]	]	X
ejpam-3071	113	4	+3	+3	PROPN
ejpam-3071	113	5	2	2	NUM
ejpam-3071	113	6	(	(	PUNCT
ejpam-3071	113	7	ω	ω	NOUN
ejpam-3071	113	8	)	)	PUNCT
ejpam-3071	113	9	,	,	PUNCT
ejpam-3071	113	10	ψ(x	ψ(x	NOUN
ejpam-3071	113	11	)	)	PUNCT
ejpam-3071	113	12	,	,	PUNCT
ejpam-3071	113	13	lψ(x	lψ(x	NOUN
ejpam-3071	113	14	)	)	PUNCT
ejpam-3071	113	15	,	,	PUNCT
ejpam-3071	113	16	...	...	PUNCT
ejpam-3071	113	17	,	,	PUNCT
ejpam-3071	113	18	l[n4	l[n4	X
ejpam-3071	113	19	]	]	X
ejpam-3071	113	20	+1ψ(x	+1ψ(x	X
ejpam-3071	113	21	)	)	PUNCT
ejpam-3071	113	22	∈	∈	PROPN
ejpam-3071	113	23	◦	◦	NOUN
ejpam-3071	113	24	d(ω	d(ω	PROPN
ejpam-3071	113	25	)	)	PUNCT
ejpam-3071	113	26	.	.	PUNCT
ejpam-3071	114	1	s.	s.	PROPN
ejpam-3071	114	2	j.aliyev	j.aliyev	PROPN
ejpam-3071	114	3	,	,	PUNCT
ejpam-3071	114	4	a.	a.	PROPN
ejpam-3071	114	5	g.aliyeva	g.aliyeva	PROPN
ejpam-3071	114	6	/	/	SYM
ejpam-3071	114	7	eur	eur	PROPN
ejpam-3071	114	8	.	.	PUNCT
ejpam-3071	115	1	j.	j.	PROPN
ejpam-3071	115	2	pure	pure	PROPN
ejpam-3071	115	3	appl	appl	PROPN
ejpam-3071	115	4	.	.	PROPN
ejpam-3071	115	5	math	math	PROPN
ejpam-3071	115	6	,	,	PUNCT
ejpam-3071	115	7	10	10	NUM
ejpam-3071	115	8	(	(	PUNCT
ejpam-3071	115	9	5	5	NUM
ejpam-3071	115	10	)	)	PUNCT
ejpam-3071	115	11	(	(	PUNCT
ejpam-3071	115	12	2017	2017	NUM
ejpam-3071	115	13	)	)	PUNCT
ejpam-3071	115	14	,	,	PUNCT
ejpam-3071	115	15	1078	1078	NUM
ejpam-3071	115	16	-	-	SYM
ejpam-3071	115	17	1091	1091	NUM
ejpam-3071	115	18	1084	1084	NUM
ejpam-3071	115	19	3	3	NUM
ejpam-3071	115	20	.	.	PUNCT
ejpam-3071	116	1	a	a	X
ejpam-3071	116	2	)	)	PUNCT
ejpam-3071	116	3	∂kf	∂kf	PROPN
ejpam-3071	116	4	(	(	PUNCT
ejpam-3071	116	5	t	t	PROPN
ejpam-3071	116	6	,	,	PUNCT
ejpam-3071	116	7	ξ1	ξ1	NOUN
ejpam-3071	116	8	,	,	PUNCT
ejpam-3071	116	9	...	...	PUNCT
ejpam-3071	116	10	,	,	PUNCT
ejpam-3071	116	11	ξñ	ξñ	NUM
ejpam-3071	116	12	)	)	PUNCT
ejpam-3071	116	13	/	/	SYM
ejpam-3071	116	14	∂ξα1	∂ξα1	NUM
ejpam-3071	116	15	1	1	NUM
ejpam-3071	116	16	...	...	PUNCT
ejpam-3071	117	1	∂ξ	∂ξ	NUM
ejpam-3071	117	2	αñ	αñ	PROPN
ejpam-3071	117	3	ñ	ñ	VERB
ejpam-3071	117	4	∈	∈	PROPN
ejpam-3071	117	5	c(q̄t	c(q̄t	X
ejpam-3071	117	6	×	×	NOUN
ejpam-3071	117	7	(	(	PUNCT
ejpam-3071	117	8	−∞,∞)n	−∞,∞)n	X
ejpam-3071	117	9	(	(	PUNCT
ejpam-3071	117	10	k	k	NOUN
ejpam-3071	117	11	=	=	SYM
ejpam-3071	117	12	0	0	NUM
ejpam-3071	117	13	,	,	PUNCT
ejpam-3071	117	14	1	1	NUM
ejpam-3071	117	15	,	,	PUNCT
ejpam-3071	117	16	...	...	PUNCT
ejpam-3071	117	17	,	,	PUNCT
ejpam-3071	117	18	[	[	PUNCT
ejpam-3071	117	19	n	n	NOUN
ejpam-3071	117	20	2	2	NUM
ejpam-3071	117	21	]	]	PUNCT
ejpam-3071	117	22	+	+	CCONJ
ejpam-3071	117	23	2	2	NUM
ejpam-3071	117	24	)	)	PUNCT
ejpam-3071	117	25	;	;	PUNCT
ejpam-3071	117	26	b	b	X
ejpam-3071	117	27	)	)	PUNCT
ejpam-3071	117	28	∂kf	∂kf	PROPN
ejpam-3071	117	29	(	(	PUNCT
ejpam-3071	117	30	t	t	PROPN
ejpam-3071	117	31	,	,	PUNCT
ejpam-3071	117	32	ξ1	ξ1	NOUN
ejpam-3071	117	33	,	,	PUNCT
ejpam-3071	117	34	...	...	PUNCT
ejpam-3071	117	35	,	,	PUNCT
ejpam-3071	117	36	ξn	ξn	PROPN
ejpam-3071	117	37	,	,	PUNCT
ejpam-3071	117	38	0	0	NUM
ejpam-3071	117	39	,	,	PUNCT
ejpam-3071	117	40	0	0	NUM
ejpam-3071	117	41	,	,	PUNCT
ejpam-3071	117	42	ξn+3	ξn+3	PROPN
ejpam-3071	117	43	,	,	PUNCT
ejpam-3071	117	44	...	...	PUNCT
ejpam-3071	117	45	,	,	PUNCT
ejpam-3071	117	46	ξñ	ξñ	NUM
ejpam-3071	117	47	)	)	PUNCT
ejpam-3071	117	48	/	/	SYM
ejpam-3071	117	49	∂ξα1	∂ξα1	NUM
ejpam-3071	117	50	1	1	NUM
ejpam-3071	117	51	...	...	PUNCT
ejpam-3071	118	1	∂ξ	∂ξ	NUM
ejpam-3071	118	2	αñ	αñ	NUM
ejpam-3071	118	3	ñ	ñ	VERB
ejpam-3071	118	4	≡	≡	PROPN
ejpam-3071	118	5	0	0	PUNCT
ejpam-3071	119	1	(	(	PUNCT
ejpam-3071	119	2	k	k	NOUN
ejpam-3071	119	3	=	=	SYM
ejpam-3071	119	4	0	0	NUM
ejpam-3071	119	5	,	,	PUNCT
ejpam-3071	119	6	1	1	NUM
ejpam-3071	119	7	,	,	PUNCT
ejpam-3071	119	8	...	...	PUNCT
ejpam-3071	119	9	,	,	PUNCT
ejpam-3071	119	10	2	2	X
ejpam-3071	119	11	[	[	PUNCT
ejpam-3071	119	12	n+2	n+2	NUM
ejpam-3071	119	13	4	4	NUM
ejpam-3071	119	14	]	]	PUNCT
ejpam-3071	119	15	)	)	PUNCT
ejpam-3071	120	1	∀t	∀t	PROPN
ejpam-3071	120	2	∈	∈	X
ejpam-3071	121	1	[	[	X
ejpam-3071	121	2	0	0	NUM
ejpam-3071	121	3	,	,	PUNCT
ejpam-3071	121	4	t	t	X
ejpam-3071	121	5	]	]	PUNCT
ejpam-3071	121	6	,	,	PUNCT
ejpam-3071	121	7	(	(	PUNCT
ejpam-3071	121	8	ξ1	ξ1	NOUN
ejpam-3071	121	9	...	...	PUNCT
ejpam-3071	121	10	,	,	PUNCT
ejpam-3071	121	11	ξn	ξn	NOUN
ejpam-3071	121	12	)	)	PUNCT
ejpam-3071	121	13	∈	∈	PROPN
ejpam-3071	121	14	s	s	PROPN
ejpam-3071	121	15	,	,	PUNCT
ejpam-3071	121	16	ξn+3	ξn+3	PROPN
ejpam-3071	121	17	,	,	PUNCT
ejpam-3071	121	18	...	...	PUNCT
ejpam-3071	121	19	,	,	PUNCT
ejpam-3071	121	20	ξn	ξn	PROPN
ejpam-3071	121	21	∈	∈	PROPN
ejpam-3071	121	22	(	(	PUNCT
ejpam-3071	121	23	−∞,∞	−∞,∞	NOUN
ejpam-3071	121	24	)	)	PUNCT
ejpam-3071	121	25	,	,	PUNCT
ejpam-3071	121	26	n	n	NOUN
ejpam-3071	121	27	=	=	SYM
ejpam-3071	121	28	2	2	NUM
ejpam-3071	121	29	+	+	NUM
ejpam-3071	121	30	2n+	2n+	NUM
ejpam-3071	121	31	n2	n2	NOUN
ejpam-3071	121	32	,	,	PUNCT
ejpam-3071	121	33	ñ	ñ	PROPN
ejpam-3071	121	34	=	=	SYM
ejpam-3071	121	35	n+n	n+n	X
ejpam-3071	121	36	.	.	PUNCT
ejpam-3071	122	1	4	4	X
ejpam-3071	122	2	.	.	NUM
ejpam-3071	122	3	∀r	∀r	X
ejpam-3071	122	4	>	>	X
ejpam-3071	122	5	0	0	PUNCT
ejpam-3071	123	1	in	in	ADP
ejpam-3071	123	2	q̄t	q̄t	PROPN
ejpam-3071	123	3	×	×	NOUN
ejpam-3071	123	4	(	(	PUNCT
ejpam-3071	123	5	−∞,∞)n	−∞,∞)n	X
ejpam-3071	123	6	∣∣∣∣∂2	∣∣∣∣∂2	PUNCT
ejpam-3071	123	7	[	[	PUNCT
ejpam-3071	123	8	n+2	n+2	NUM
ejpam-3071	123	9	4	4	NUM
ejpam-3071	123	10	]	]	SYM
ejpam-3071	123	11	f	f	PROPN
ejpam-3071	123	12	(	(	PUNCT
ejpam-3071	123	13	t	t	PROPN
ejpam-3071	123	14	,	,	PUNCT
ejpam-3071	123	15	x	x	NOUN
ejpam-3071	123	16	,	,	PUNCT
ejpam-3071	123	17	u1	u1	PROPN
ejpam-3071	123	18	,	,	PUNCT
ejpam-3071	123	19	...	...	PUNCT
ejpam-3071	123	20	un	un	PROPN
ejpam-3071	123	21	)	)	PUNCT
ejpam-3071	124	1	/	/	SYM
ejpam-3071	124	2	∂xα∂uγ11	∂xα∂uγ11	INTJ
ejpam-3071	124	3	...	...	PUNCT
ejpam-3071	125	1	∂u	∂u	NUM
ejpam-3071	125	2	γn	γn	ADP
ejpam-3071	125	3	n	n	CCONJ
ejpam-3071	125	4	−	−	PROPN
ejpam-3071	125	5	−∂2	−∂2	PROPN
ejpam-3071	125	6	[	[	PUNCT
ejpam-3071	125	7	n+2	n+2	ADV
ejpam-3071	125	8	4	4	NUM
ejpam-3071	125	9	]	]	SYM
ejpam-3071	125	10	f	f	PROPN
ejpam-3071	125	11	(	(	PUNCT
ejpam-3071	125	12	t	t	PROPN
ejpam-3071	125	13	,	,	PUNCT
ejpam-3071	125	14	x	x	NOUN
ejpam-3071	125	15	,	,	PUNCT
ejpam-3071	125	16	ũ1	ũ1	PROPN
ejpam-3071	125	17	,	,	PUNCT
ejpam-3071	125	18	...	...	PUNCT
ejpam-3071	125	19	,	,	PUNCT
ejpam-3071	125	20	ũn	ũn	NOUN
ejpam-3071	125	21	)	)	PUNCT
ejpam-3071	125	22	/	/	SYM
ejpam-3071	126	1	∂xα∂uγ11	∂xα∂uγ11	INTJ
ejpam-3071	126	2	...	...	PUNCT
ejpam-3071	127	1	∂u	∂u	NUM
ejpam-3071	127	2	γn	γn	ADP
ejpam-3071	127	3	n	n	PRON
ejpam-3071	127	4	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3071	127	5	≤	≤	NOUN
ejpam-3071	127	6	cr	cr	ADP
ejpam-3071	127	7	n∑	n∑	PROPN
ejpam-3071	127	8	i=1	i=1	PROPN
ejpam-3071	127	9	|ui	|ui	PUNCT
ejpam-3071	127	10	−	−	PROPN
ejpam-3071	127	11	ũi|	ũi|	NOUN
ejpam-3071	127	12	,	,	PUNCT
ejpam-3071	127	13	where	where	SCONJ
ejpam-3071	127	14	α	α	NOUN
ejpam-3071	127	15	=	=	SYM
ejpam-3071	127	16	(	(	PUNCT
ejpam-3071	127	17	α1	α1	PROPN
ejpam-3071	127	18	,	,	PUNCT
ejpam-3071	127	19	...	...	PUNCT
ejpam-3071	127	20	,	,	PUNCT
ejpam-3071	127	21	αn	αn	NOUN
ejpam-3071	127	22	)	)	PUNCT
ejpam-3071	127	23	,	,	PUNCT
ejpam-3071	127	24	|α|+	|α|+	PROPN
ejpam-3071	127	25	n∑	n∑	PROPN
ejpam-3071	127	26	i=1	i=1	PROPN
ejpam-3071	127	27	γi	γi	X
ejpam-3071	128	1	=	=	SYM
ejpam-3071	128	2	2	2	NUM
ejpam-3071	128	3	[	[	PUNCT
ejpam-3071	128	4	n+2	n+2	NUM
ejpam-3071	128	5	4	4	NUM
ejpam-3071	128	6	]	]	PUNCT
ejpam-3071	128	7	,	,	PUNCT
ejpam-3071	128	8	and	and	CCONJ
ejpam-3071	128	9	cr	cr	X
ejpam-3071	128	10	>	>	X
ejpam-3071	128	11	0	0	PUNCT
ejpam-3071	129	1	is	be	AUX
ejpam-3071	129	2	a	a	DET
ejpam-3071	129	3	constant	constant	ADJ
ejpam-3071	129	4	.	.	PUNCT
ejpam-3071	130	1	then	then	ADV
ejpam-3071	130	2	there	there	PRON
ejpam-3071	130	3	exists	exist	VERB
ejpam-3071	130	4	in	in	ADP
ejpam-3071	130	5	small	small	ADJ
ejpam-3071	130	6	(	(	PUNCT
ejpam-3071	130	7	i.e.	i.e.	X
ejpam-3071	130	8	for	for	ADP
ejpam-3071	130	9	sufficiently	sufficiently	ADV
ejpam-3071	130	10	small	small	ADJ
ejpam-3071	130	11	values	value	NOUN
ejpam-3071	130	12	of	of	ADP
ejpam-3071	130	13	t	t	PROPN
ejpam-3071	130	14	)	)	PUNCT
ejpam-3071	130	15	a	a	DET
ejpam-3071	130	16	unique	unique	ADJ
ejpam-3071	130	17	in	in	ADP
ejpam-3071	130	18	large	large	ADJ
ejpam-3071	130	19	(	(	PUNCT
ejpam-3071	130	20	i.e.	i.e.	X
ejpam-3071	130	21	for	for	ADP
ejpam-3071	130	22	any	any	DET
ejpam-3071	130	23	finite	finite	ADJ
ejpam-3071	130	24	value	value	NOUN
ejpam-3071	130	25	of	of	ADP
ejpam-3071	130	26	t	t	NOUN
ejpam-3071	130	27	)	)	PUNCT
ejpam-3071	130	28	classical	classical	ADJ
ejpam-3071	130	29	solution	solution	NOUN
ejpam-3071	130	30	of	of	ADP
ejpam-3071	130	31	problem	problem	NOUN
ejpam-3071	130	32	(	(	PUNCT
ejpam-3071	130	33	1)-(3	1)-(3	NUM
ejpam-3071	130	34	)	)	PUNCT
ejpam-3071	130	35	.	.	PUNCT
ejpam-3071	131	1	proof	proof	NOUN
ejpam-3071	131	2	.	.	PUNCT
ejpam-3071	132	1	we	we	PRON
ejpam-3071	132	2	consider	consider	VERB
ejpam-3071	132	3	the	the	DET
ejpam-3071	132	4	following	follow	VERB
ejpam-3071	132	5	operator	operator	NOUN
ejpam-3071	132	6	q	q	PUNCT
ejpam-3071	132	7	in	in	ADP
ejpam-3071	132	8	space	space	NOUN
ejpam-3071	132	9	b	b	PROPN
ejpam-3071	133	1	[	[	X
ejpam-3071	133	2	n2	n2	NOUN
ejpam-3071	133	3	]	]	X
ejpam-3071	133	4	+4,[n2	+4,[n2	PROPN
ejpam-3071	133	5	]	]	X
ejpam-3071	133	6	+3	+3	PROPN
ejpam-3071	133	7	2,2,t	2,2,t	NUM
ejpam-3071	133	8	:	:	PUNCT
ejpam-3071	133	9	q(u(t	q(u(t	NOUN
ejpam-3071	133	10	,	,	PUNCT
ejpam-3071	133	11	x	x	NOUN
ejpam-3071	133	12	)	)	PUNCT
ejpam-3071	133	13	)	)	PUNCT
ejpam-3071	134	1	=	=	SYM
ejpam-3071	134	2	w	w	PROPN
ejpam-3071	134	3	(	(	PUNCT
ejpam-3071	134	4	t	t	PROPN
ejpam-3071	134	5	,	,	PUNCT
ejpam-3071	134	6	x	x	NOUN
ejpam-3071	134	7	)	)	PUNCT
ejpam-3071	134	8	+	+	CCONJ
ejpam-3071	134	9	p(u(t	p(u(t	PROPN
ejpam-3071	134	10	,	,	PUNCT
ejpam-3071	134	11	x	x	NOUN
ejpam-3071	134	12	)	)	PUNCT
ejpam-3071	134	13	)	)	PUNCT
ejpam-3071	134	14	(	(	PUNCT
ejpam-3071	134	15	14	14	NUM
ejpam-3071	134	16	)	)	PUNCT
ejpam-3071	134	17	where	where	SCONJ
ejpam-3071	134	18	w	w	PROPN
ejpam-3071	134	19	(	(	PUNCT
ejpam-3071	134	20	t	t	PROPN
ejpam-3071	134	21	,	,	PUNCT
ejpam-3071	134	22	x	x	NOUN
ejpam-3071	134	23	)	)	PUNCT
ejpam-3071	134	24	=	=	PUNCT
ejpam-3071	135	1	∞∑	∞∑	NUM
ejpam-3071	135	2	s=1	s=1	X
ejpam-3071	135	3	{	{	PUNCT
ejpam-3071	136	1	ϕs	ϕs	INTJ
ejpam-3071	137	1	+	+	CCONJ
ejpam-3071	137	2	1	1	NUM
ejpam-3071	137	3	λ2	λ2	NOUN
ejpam-3071	137	4	s	s	PART
ejpam-3071	137	5	[	[	PUNCT
ejpam-3071	137	6	1−	1−	NUM
ejpam-3071	137	7	e−λ2st	e−λ2st	NOUN
ejpam-3071	137	8	]	]	PUNCT
ejpam-3071	137	9	ψ(s	ψ(s	PROPN
ejpam-3071	137	10	)	)	PUNCT
ejpam-3071	137	11	}	}	PUNCT
ejpam-3071	137	12	υs(x	υs(x	NUM
ejpam-3071	137	13	)	)	PUNCT
ejpam-3071	137	14	,	,	PUNCT
ejpam-3071	137	15	p(u(t	p(u(t	PROPN
ejpam-3071	137	16	,	,	PUNCT
ejpam-3071	137	17	x	x	NOUN
ejpam-3071	137	18	)	)	PUNCT
ejpam-3071	137	19	)	)	PUNCT
ejpam-3071	138	1	=	=	PUNCT
ejpam-3071	139	1	∞∑	∞∑	NUM
ejpam-3071	139	2	s=1	s=1	ADP
ejpam-3071	139	3	1	1	NUM
ejpam-3071	139	4	λ2	λ2	NOUN
ejpam-3071	139	5	s	s	VERB
ejpam-3071	139	6	t∫	t∫	NUM
ejpam-3071	139	7	0	0	NUM
ejpam-3071	139	8	∫	∫	PROPN
ejpam-3071	139	9	ω	ω	NUM
ejpam-3071	139	10	=(	=(	PROPN
ejpam-3071	139	11	u(τ	u(τ	PROPN
ejpam-3071	139	12	,	,	PUNCT
ejpam-3071	139	13	x	x	NOUN
ejpam-3071	139	14	)	)	PUNCT
ejpam-3071	139	15	)	)	PUNCT
ejpam-3071	140	1	[	[	PUNCT
ejpam-3071	140	2	1−	1−	NUM
ejpam-3071	140	3	e−λ2s(t−τ	e−λ2s(t−τ	NOUN
ejpam-3071	140	4	)	)	PUNCT
ejpam-3071	140	5	]	]	PUNCT
ejpam-3071	140	6	υs(x)dxdτ	υs(x)dxdτ	NOUN
ejpam-3071	140	7	·	·	PUNCT
ejpam-3071	140	8	υs(x	υs(x	NUM
ejpam-3071	140	9	)	)	PUNCT
ejpam-3071	140	10	,	,	PUNCT
ejpam-3071	140	11	and	and	CCONJ
ejpam-3071	140	12	operator	operator	NOUN
ejpam-3071	140	13	=	=	SYM
ejpam-3071	140	14	is	be	AUX
ejpam-3071	140	15	defined	define	VERB
ejpam-3071	140	16	by	by	ADP
ejpam-3071	140	17	(	(	PUNCT
ejpam-3071	140	18	11	11	NUM
ejpam-3071	140	19	)	)	PUNCT
ejpam-3071	140	20	.	.	PUNCT
ejpam-3071	141	1	it	it	PRON
ejpam-3071	141	2	is	be	AUX
ejpam-3071	141	3	easy	easy	ADJ
ejpam-3071	141	4	to	to	PART
ejpam-3071	141	5	see	see	VERB
ejpam-3071	141	6	that	that	SCONJ
ejpam-3071	141	7	under	under	ADP
ejpam-3071	141	8	condition	condition	NOUN
ejpam-3071	141	9	3	3	NUM
ejpam-3071	141	10	of	of	ADP
ejpam-3071	141	11	this	this	DET
ejpam-3071	141	12	theorem	theorem	ADJ
ejpam-3071	141	13	∀u(t	∀u(t	PROPN
ejpam-3071	141	14	,	,	PUNCT
ejpam-3071	141	15	x	x	NOUN
ejpam-3071	141	16	)	)	PUNCT
ejpam-3071	141	17	∈	∈	NOUN
ejpam-3071	141	18	b[n2	b[n2	NOUN
ejpam-3071	142	1	]	]	X
ejpam-3071	142	2	+4,[n2	+4,[n2	NOUN
ejpam-3071	142	3	]	]	X
ejpam-3071	142	4	+3	+3	PROPN
ejpam-3071	142	5	2,2,t	2,2,t	NUM
ejpam-3071	142	6	:	:	PUNCT
ejpam-3071	142	7	p(u(t	p(u(t	NOUN
ejpam-3071	142	8	,	,	PUNCT
ejpam-3071	142	9	x	x	NOUN
ejpam-3071	142	10	)	)	PUNCT
ejpam-3071	142	11	)	)	PUNCT
ejpam-3071	143	1	=	=	PUNCT
ejpam-3071	144	1	∞∑	∞∑	NUM
ejpam-3071	144	2	s=1	s=1	X
ejpam-3071	144	3	(	(	PUNCT
ejpam-3071	144	4	−1)r+1	−1)r+1	INTJ
ejpam-3071	144	5	λ	λ	X
ejpam-3071	144	6	[	[	X
ejpam-3071	144	7	n2	n2	NOUN
ejpam-3071	144	8	]	]	X
ejpam-3071	144	9	+4	+4	PROPN
ejpam-3071	144	10	s	s	X
ejpam-3071	144	11	t∫	t∫	NUM
ejpam-3071	144	12	0	0	NUM
ejpam-3071	144	13	∫	∫	PROPN
ejpam-3071	144	14	ω	ω	PROPN
ejpam-3071	144	15	lr+1(=(u(τ	lr+1(=(u(τ	PROPN
ejpam-3071	144	16	,	,	PUNCT
ejpam-3071	144	17	x	x	NOUN
ejpam-3071	144	18	)	)	PUNCT
ejpam-3071	144	19	)	)	PUNCT
ejpam-3071	144	20	)	)	PUNCT
ejpam-3071	145	1	[	[	PUNCT
ejpam-3071	145	2	1−	1−	NUM
ejpam-3071	145	3	e−λ2s(t−τ	e−λ2s(t−τ	NOUN
ejpam-3071	145	4	)	)	PUNCT
ejpam-3071	145	5	]	]	PUNCT
ejpam-3071	146	1	×υs(x)dxdτ	×υs(x)dxdτ	NOUN
ejpam-3071	146	2	·	·	PUNCT
ejpam-3071	146	3	υs(x	υs(x	PUNCT
ejpam-3071	146	4	)	)	PUNCT
ejpam-3071	146	5	for	for	ADP
ejpam-3071	146	6	n	n	NOUN
ejpam-3071	146	7	=	=	SYM
ejpam-3071	146	8	4r	4r	NOUN
ejpam-3071	146	9	,	,	PUNCT
ejpam-3071	146	10	4r	4r	NUM
ejpam-3071	146	11	+	+	CCONJ
ejpam-3071	146	12	1	1	NUM
ejpam-3071	146	13	,	,	PUNCT
ejpam-3071	146	14	(	(	PUNCT
ejpam-3071	146	15	15	15	X
ejpam-3071	146	16	)	)	PUNCT
ejpam-3071	146	17	p(u(t	p(u(t	PROPN
ejpam-3071	146	18	,	,	PUNCT
ejpam-3071	146	19	x	x	NOUN
ejpam-3071	146	20	)	)	PUNCT
ejpam-3071	146	21	)	)	PUNCT
ejpam-3071	147	1	=	=	PUNCT
ejpam-3071	148	1	∞∑	∞∑	NUM
ejpam-3071	148	2	s=1	s=1	X
ejpam-3071	148	3	(	(	PUNCT
ejpam-3071	148	4	−1)r+1	−1)r+1	INTJ
ejpam-3071	148	5	λ	λ	X
ejpam-3071	148	6	[	[	X
ejpam-3071	148	7	n2	n2	NOUN
ejpam-3071	148	8	]	]	X
ejpam-3071	148	9	+4	+4	PROPN
ejpam-3071	148	10	s	s	X
ejpam-3071	148	11	t∫	t∫	NUM
ejpam-3071	148	12	0	0	NUM
ejpam-3071	148	13	∫	∫	PROPN
ejpam-3071	148	14	ω	ω	PROPN
ejpam-3071	148	15			PROPN
ejpam-3071	148	16	n∑	n∑	PROPN
ejpam-3071	148	17	i	i	PROPN
ejpam-3071	148	18	,	,	PUNCT
ejpam-3071	148	19	j=1	j=1	PROPN
ejpam-3071	148	20	aij(x	aij(x	PROPN
ejpam-3071	148	21	)	)	PUNCT
ejpam-3071	148	22	∂	∂	NUM
ejpam-3071	148	23	∂xi	∂xi	PROPN
ejpam-3071	148	24	lr+1(=(u(τ	lr+1(=(u(τ	PROPN
ejpam-3071	148	25	,	,	PUNCT
ejpam-3071	148	26	x	x	NOUN
ejpam-3071	148	27	)	)	PUNCT
ejpam-3071	148	28	)	)	PUNCT
ejpam-3071	148	29	)	)	PUNCT
ejpam-3071	149	1			NOUN
ejpam-3071	149	2	×	×	NOUN
ejpam-3071	149	3	∂	∂	NUM
ejpam-3071	149	4	∂xj	∂xj	NOUN
ejpam-3071	149	5	(	(	PUNCT
ejpam-3071	149	6	υs(x	υs(x	PUNCT
ejpam-3071	149	7	)	)	PUNCT
ejpam-3071	149	8	λs	λs	ADP
ejpam-3071	149	9	)	)	PUNCT
ejpam-3071	150	1	+	+	CCONJ
ejpam-3071	150	2	a(x)lr+1(=(u(τ	a(x)lr+1(=(u(τ	ADJ
ejpam-3071	150	3	,	,	PUNCT
ejpam-3071	150	4	x)))×	x)))×	PROPN
ejpam-3071	150	5	υs(x	υs(x	PUNCT
ejpam-3071	150	6	)	)	PUNCT
ejpam-3071	150	7	λs	λs	ADP
ejpam-3071	150	8	}	}	PUNCT
ejpam-3071	150	9	s.	s.	PROPN
ejpam-3071	150	10	j.aliyev	j.aliyev	PROPN
ejpam-3071	150	11	,	,	PUNCT
ejpam-3071	150	12	a.	a.	PROPN
ejpam-3071	150	13	g.aliyeva	g.aliyeva	PROPN
ejpam-3071	150	14	/	/	SYM
ejpam-3071	150	15	eur	eur	PROPN
ejpam-3071	150	16	.	.	PUNCT
ejpam-3071	151	1	j.	j.	PROPN
ejpam-3071	151	2	pure	pure	PROPN
ejpam-3071	151	3	appl	appl	PROPN
ejpam-3071	151	4	.	.	PROPN
ejpam-3071	151	5	math	math	PROPN
ejpam-3071	151	6	,	,	PUNCT
ejpam-3071	151	7	10	10	NUM
ejpam-3071	151	8	(	(	PUNCT
ejpam-3071	151	9	5	5	NUM
ejpam-3071	151	10	)	)	PUNCT
ejpam-3071	151	11	(	(	PUNCT
ejpam-3071	151	12	2017	2017	NUM
ejpam-3071	151	13	)	)	PUNCT
ejpam-3071	151	14	,	,	PUNCT
ejpam-3071	151	15	1078	1078	NUM
ejpam-3071	151	16	-	-	SYM
ejpam-3071	151	17	1091	1091	NUM
ejpam-3071	151	18	1085	1085	NUM
ejpam-3071	151	19	×	×	NOUN
ejpam-3071	151	20	[	[	PUNCT
ejpam-3071	151	21	1−	1−	NUM
ejpam-3071	151	22	e−λ2s(t−τ	e−λ2s(t−τ	NOUN
ejpam-3071	151	23	)	)	PUNCT
ejpam-3071	151	24	]	]	PUNCT
ejpam-3071	152	1	dxdτ	dxdτ	PROPN
ejpam-3071	152	2	·	·	PUNCT
ejpam-3071	152	3	υs(x	υs(x	PUNCT
ejpam-3071	152	4	)	)	PUNCT
ejpam-3071	152	5	for	for	ADP
ejpam-3071	152	6	n	n	NOUN
ejpam-3071	152	7	=	=	NOUN
ejpam-3071	152	8	4r	4r	NOUN
ejpam-3071	152	9	+	+	CCONJ
ejpam-3071	152	10	2	2	NUM
ejpam-3071	152	11	,	,	PUNCT
ejpam-3071	152	12	4r	4r	NUM
ejpam-3071	152	13	+	+	CCONJ
ejpam-3071	152	14	3	3	X
ejpam-3071	152	15	.	.	PUNCT
ejpam-3071	152	16	(	(	PUNCT
ejpam-3071	152	17	16	16	NUM
ejpam-3071	152	18	)	)	PUNCT
ejpam-3071	152	19	to	to	PART
ejpam-3071	152	20	ease	ease	VERB
ejpam-3071	152	21	our	our	PRON
ejpam-3071	152	22	writings	writing	NOUN
ejpam-3071	152	23	,	,	PUNCT
ejpam-3071	152	24	we	we	PRON
ejpam-3071	152	25	will	will	AUX
ejpam-3071	152	26	use	use	VERB
ejpam-3071	152	27	the	the	DET
ejpam-3071	152	28	following	following	ADJ
ejpam-3071	152	29	notations	notation	NOUN
ejpam-3071	152	30	:	:	PUNCT
ejpam-3071	152	31	‖u‖	‖u‖	PROPN
ejpam-3071	152	32	b	b	X
ejpam-3071	152	33	[	[	PUNCT
ejpam-3071	152	34	n	n	NOUN
ejpam-3071	152	35	2	2	NUM
ejpam-3071	152	36	]	]	PUNCT
ejpam-3071	152	37	+4	+4	PROPN
ejpam-3071	152	38	,	,	PUNCT
ejpam-3071	152	39	[	[	PUNCT
ejpam-3071	152	40	n	n	NOUN
ejpam-3071	152	41	2	2	NUM
ejpam-3071	152	42	]	]	PUNCT
ejpam-3071	152	43	+3	+3	PROPN
ejpam-3071	152	44	2	2	NUM
ejpam-3071	152	45	,	,	PUNCT
ejpam-3071	152	46	2	2	NUM
ejpam-3071	152	47	,	,	PUNCT
ejpam-3071	152	48	t	t	NOUN
ejpam-3071	152	49	=	=	SYM
ejpam-3071	152	50	‖u‖et	‖u‖et	PROPN
ejpam-3071	152	51	(	(	PUNCT
ejpam-3071	152	52	t	t	NOUN
ejpam-3071	152	53	∈	∈	PROPN
ejpam-3071	153	1	[	[	X
ejpam-3071	153	2	0	0	NUM
ejpam-3071	153	3	,	,	PUNCT
ejpam-3071	153	4	t	t	X
ejpam-3071	153	5	]	]	PUNCT
ejpam-3071	153	6	)	)	PUNCT
ejpam-3071	153	7	.	.	PUNCT
ejpam-3071	154	1	next	next	ADV
ejpam-3071	154	2	,	,	PUNCT
ejpam-3071	154	3	using	use	VERB
ejpam-3071	154	4	inequalities	inequality	NOUN
ejpam-3071	154	5	(	(	PUNCT
ejpam-3071	154	6	9	9	NUM
ejpam-3071	154	7	)	)	PUNCT
ejpam-3071	154	8	,	,	PUNCT
ejpam-3071	154	9	lemma	lemma	PROPN
ejpam-3071	154	10	1	1	NUM
ejpam-3071	154	11	,	,	PUNCT
ejpam-3071	154	12	and	and	CCONJ
ejpam-3071	154	13	conditions	condition	NOUN
ejpam-3071	154	14	1,2	1,2	NUM
ejpam-3071	154	15	of	of	ADP
ejpam-3071	154	16	this	this	DET
ejpam-3071	154	17	theorem	theorem	NOUN
ejpam-3071	154	18	,	,	PUNCT
ejpam-3071	154	19	we	we	PRON
ejpam-3071	154	20	obtain	obtain	VERB
ejpam-3071	154	21	that	that	PRON
ejpam-3071	154	22	w	w	PROPN
ejpam-3071	154	23	(	(	PUNCT
ejpam-3071	154	24	t	t	PROPN
ejpam-3071	154	25	,	,	PUNCT
ejpam-3071	154	26	x	x	X
ejpam-3071	154	27	)	)	PUNCT
ejpam-3071	154	28	∈	∈	NOUN
ejpam-3071	154	29	et	et	NOUN
ejpam-3071	154	30	,	,	PUNCT
ejpam-3071	154	31	because	because	SCONJ
ejpam-3071	154	32	‖w	‖w	NOUN
ejpam-3071	154	33	(	(	PUNCT
ejpam-3071	154	34	t	t	PROPN
ejpam-3071	154	35	,	,	PUNCT
ejpam-3071	154	36	x)‖et	x)‖et	PROPN
ejpam-3071	154	37	≤	≤	PROPN
ejpam-3071	154	38	{	{	PUNCT
ejpam-3071	154	39	2	2	NUM
ejpam-3071	154	40	∞∑	∞∑	NUM
ejpam-3071	154	41	s=1	s=1	NOUN
ejpam-3071	154	42	(	(	PUNCT
ejpam-3071	154	43	λ	λ	X
ejpam-3071	154	44	[	[	X
ejpam-3071	154	45	n2	n2	NOUN
ejpam-3071	154	46	]	]	X
ejpam-3071	154	47	+4	+4	PROPN
ejpam-3071	154	48	s	s	PROPN
ejpam-3071	154	49	·	·	PUNCT
ejpam-3071	154	50	ϕs	ϕs	ADJ
ejpam-3071	154	51	)	)	PUNCT
ejpam-3071	154	52	2	2	NUM
ejpam-3071	154	53	+	+	NUM
ejpam-3071	154	54	2	2	NUM
ejpam-3071	154	55	∞∑	∞∑	NOUN
ejpam-3071	154	56	s=1	s=1	NOUN
ejpam-3071	154	57	(	(	PUNCT
ejpam-3071	154	58	λ	λ	X
ejpam-3071	154	59	[	[	X
ejpam-3071	154	60	n2	n2	NOUN
ejpam-3071	154	61	]	]	X
ejpam-3071	154	62	+2	+2	PROPN
ejpam-3071	154	63	s	s	PART
ejpam-3071	154	64	·	·	PUNCT
ejpam-3071	154	65	ψs	ψs	ADJ
ejpam-3071	154	66	)	)	PUNCT
ejpam-3071	154	67	2	2	NUM
ejpam-3071	154	68	}	}	SYM
ejpam-3071	154	69	1	1	NUM
ejpam-3071	154	70	2	2	NUM
ejpam-3071	154	71	+	+	CCONJ
ejpam-3071	154	72	{	{	PUNCT
ejpam-3071	154	73	∞∑	∞∑	NUM
ejpam-3071	154	74	s=1	s=1	X
ejpam-3071	154	75	(	(	PUNCT
ejpam-3071	154	76	λ	λ	X
ejpam-3071	154	77	[	[	X
ejpam-3071	154	78	n2	n2	NOUN
ejpam-3071	154	79	]	]	X
ejpam-3071	154	80	+3	+3	PROPN
ejpam-3071	154	81	s	s	PART
ejpam-3071	154	82	·	·	PUNCT
ejpam-3071	154	83	ψs	ψs	ADJ
ejpam-3071	154	84	)	)	PUNCT
ejpam-3071	154	85	2	2	NUM
ejpam-3071	154	86	}	}	SYM
ejpam-3071	154	87	1	1	NUM
ejpam-3071	154	88	2	2	NUM
ejpam-3071	154	89	≤	≤	NUM
ejpam-3071	154	90			PUNCT
ejpam-3071	154	91	c	c	NOUN
ejpam-3071	154	92	·	·	PUNCT
ejpam-3071	154	93	(	(	PUNCT
ejpam-3071	154	94	∥∥lr+2ϕ	∥∥lr+2ϕ	NOUN
ejpam-3071	154	95	∥∥	∥∥	PUNCT
ejpam-3071	154	96	l2(ω	l2(ω	NUM
ejpam-3071	154	97	)	)	PUNCT
ejpam-3071	154	98	+	+	X
ejpam-3071	154	99	∥∥lr+1ψ	∥∥lr+1ψ	ADV
ejpam-3071	154	100	∥∥	∥∥	PUNCT
ejpam-3071	154	101	l2(ω	l2(ω	NOUN
ejpam-3071	154	102	)	)	PUNCT
ejpam-3071	154	103	+	+	NOUN
ejpam-3071	154	104	√	√	ADJ
ejpam-3071	154	105	d	d	NOUN
ejpam-3071	154	106	(	(	PUNCT
ejpam-3071	154	107	lr+1ψ	lr+1ψ	NOUN
ejpam-3071	154	108	)	)	PUNCT
ejpam-3071	154	109	)	)	PUNCT
ejpam-3071	155	1	<	<	X
ejpam-3071	156	1	+	+	ADJ
ejpam-3071	156	2	∞	∞	NUM
ejpam-3071	156	3	for	for	ADP
ejpam-3071	156	4	n	n	NOUN
ejpam-3071	156	5	=	=	NOUN
ejpam-3071	156	6	4r	4r	NOUN
ejpam-3071	156	7	,	,	PUNCT
ejpam-3071	156	8	4r	4r	NUM
ejpam-3071	156	9	+	+	CCONJ
ejpam-3071	156	10	1	1	NUM
ejpam-3071	156	11	,	,	PUNCT
ejpam-3071	156	12	c	c	NOUN
ejpam-3071	156	13	·	·	PUNCT
ejpam-3071	156	14	(	(	PUNCT
ejpam-3071	156	15	√	√	NUM
ejpam-3071	156	16	d	d	NOUN
ejpam-3071	156	17	(	(	PUNCT
ejpam-3071	156	18	lr+2ϕ	lr+2ϕ	NOUN
ejpam-3071	156	19	)	)	PUNCT
ejpam-3071	157	1	+	+	CCONJ
ejpam-3071	157	2	√	√	ADJ
ejpam-3071	157	3	d	d	NOUN
ejpam-3071	157	4	(	(	PUNCT
ejpam-3071	157	5	lr+1ψ	lr+1ψ	NOUN
ejpam-3071	157	6	)	)	PUNCT
ejpam-3071	158	1	+	+	CCONJ
ejpam-3071	158	2	∥∥lr+2ψ	∥∥lr+2ψ	X
ejpam-3071	158	3	∥∥	∥∥	X
ejpam-3071	158	4	l2(ω	l2(ω	NOUN
ejpam-3071	158	5	)	)	PUNCT
ejpam-3071	158	6	)	)	PUNCT
ejpam-3071	159	1	<	<	X
ejpam-3071	160	1	+	+	ADJ
ejpam-3071	160	2	∞	∞	NUM
ejpam-3071	160	3	for	for	ADP
ejpam-3071	160	4	n	n	NOUN
ejpam-3071	160	5	=	=	NOUN
ejpam-3071	160	6	4r	4r	NOUN
ejpam-3071	160	7	+	+	CCONJ
ejpam-3071	160	8	2	2	NUM
ejpam-3071	160	9	,	,	PUNCT
ejpam-3071	160	10	4r	4r	NUM
ejpam-3071	160	11	+	+	CCONJ
ejpam-3071	160	12	3	3	NUM
ejpam-3071	160	13	,	,	PUNCT
ejpam-3071	160	14	where	where	SCONJ
ejpam-3071	160	15	c	c	NOUN
ejpam-3071	160	16	>	>	X
ejpam-3071	160	17	0	0	NUM
ejpam-3071	160	18	is	be	AUX
ejpam-3071	160	19	some	some	DET
ejpam-3071	160	20	constant	constant	ADJ
ejpam-3071	160	21	,	,	PUNCT
ejpam-3071	160	22	d(z(t	d(z(t	PROPN
ejpam-3071	160	23	,	,	PUNCT
ejpam-3071	160	24	x	x	NOUN
ejpam-3071	160	25	)	)	PUNCT
ejpam-3071	160	26	)	)	PUNCT
ejpam-3071	161	1	≡	≡	PROPN
ejpam-3071	161	2	∫	∫	PROPN
ejpam-3071	161	3	ω	ω	PROPN
ejpam-3071	161	4			PROPN
ejpam-3071	161	5	n∑	n∑	PROPN
ejpam-3071	161	6	i	i	PROPN
ejpam-3071	161	7	,	,	PUNCT
ejpam-3071	161	8	j=1	j=1	PROPN
ejpam-3071	161	9	aij(x	aij(x	PROPN
ejpam-3071	161	10	)	)	PUNCT
ejpam-3071	161	11	∂z(t	∂z(t	PROPN
ejpam-3071	161	12	,	,	PUNCT
ejpam-3071	161	13	x	x	NOUN
ejpam-3071	161	14	)	)	PUNCT
ejpam-3071	161	15	∂xi	∂xi	NOUN
ejpam-3071	161	16	·	·	SYM
ejpam-3071	161	17	∂z(t	∂z(t	PROPN
ejpam-3071	161	18	,	,	PUNCT
ejpam-3071	161	19	x	x	NOUN
ejpam-3071	161	20	)	)	PUNCT
ejpam-3071	161	21	∂xj	∂xj	NOUN
ejpam-3071	161	22	+	+	CCONJ
ejpam-3071	161	23	a(x	a(x	PROPN
ejpam-3071	161	24	)	)	PUNCT
ejpam-3071	161	25	·	·	PUNCT
ejpam-3071	162	1	z2(t	z2(t	PROPN
ejpam-3071	162	2	,	,	PUNCT
ejpam-3071	162	3	x	x	X
ejpam-3071	162	4	)	)	PUNCT
ejpam-3071	162	5			PROPN
ejpam-3071	162	6	dx	dx	PROPN
ejpam-3071	162	7	.	.	PUNCT
ejpam-3071	163	1	now	now	ADV
ejpam-3071	163	2	we	we	PRON
ejpam-3071	163	3	consider	consider	VERB
ejpam-3071	163	4	operator	operator	NOUN
ejpam-3071	163	5	q	q	NOUN
ejpam-3071	163	6	defined	define	VERB
ejpam-3071	163	7	by	by	ADP
ejpam-3071	163	8	(	(	PUNCT
ejpam-3071	163	9	14	14	NUM
ejpam-3071	163	10	)	)	PUNCT
ejpam-3071	163	11	in	in	ADP
ejpam-3071	163	12	a	a	DET
ejpam-3071	163	13	closed	closed	ADJ
ejpam-3071	163	14	ball	ball	NOUN
ejpam-3071	163	15	kr	kr	NOUN
ejpam-3071	163	16	of	of	ADP
ejpam-3071	163	17	space	space	NOUN
ejpam-3071	163	18	et	et	NOUN
ejpam-3071	163	19	with	with	ADP
ejpam-3071	163	20	a	a	DET
ejpam-3071	163	21	center	center	NOUN
ejpam-3071	163	22	in	in	ADP
ejpam-3071	163	23	zero	zero	NUM
ejpam-3071	163	24	and	and	CCONJ
ejpam-3071	163	25	a	a	DET
ejpam-3071	163	26	radius	radius	NOUN
ejpam-3071	163	27	r	r	NOUN
ejpam-3071	163	28	>	>	X
ejpam-3071	163	29	‖w	‖w	PROPN
ejpam-3071	163	30	(	(	PUNCT
ejpam-3071	163	31	t	t	PROPN
ejpam-3071	163	32	,	,	PUNCT
ejpam-3071	163	33	x)‖et	x)‖et	PROPN
ejpam-3071	163	34	.	.	PUNCT
ejpam-3071	164	1	then	then	ADV
ejpam-3071	164	2	,	,	PUNCT
ejpam-3071	164	3	using	use	VERB
ejpam-3071	164	4	bessel	bessel	NOUN
ejpam-3071	164	5	’s	’s	PART
ejpam-3071	164	6	inequality	inequality	NOUN
ejpam-3071	164	7	(	(	PUNCT
ejpam-3071	164	8	for	for	ADP
ejpam-3071	164	9	n	n	NOUN
ejpam-3071	164	10	=	=	NOUN
ejpam-3071	164	11	4r	4r	NOUN
ejpam-3071	164	12	,	,	PUNCT
ejpam-3071	164	13	4r	4r	NUM
ejpam-3071	164	14	+	+	CCONJ
ejpam-3071	164	15	1	1	NUM
ejpam-3071	164	16	)	)	PUNCT
ejpam-3071	164	17	and	and	CCONJ
ejpam-3071	164	18	inequality	inequality	NOUN
ejpam-3071	164	19	(	(	PUNCT
ejpam-3071	164	20	6	6	NUM
ejpam-3071	164	21	)	)	PUNCT
ejpam-3071	164	22	(	(	PUNCT
ejpam-3071	164	23	for	for	ADP
ejpam-3071	164	24	n	n	NOUN
ejpam-3071	164	25	=	=	NOUN
ejpam-3071	164	26	4r	4r	NOUN
ejpam-3071	164	27	+	+	CCONJ
ejpam-3071	164	28	2	2	NUM
ejpam-3071	164	29	,	,	PUNCT
ejpam-3071	164	30	4r	4r	NUM
ejpam-3071	164	31	+	+	CCONJ
ejpam-3071	164	32	3	3	NUM
ejpam-3071	164	33	)	)	PUNCT
ejpam-3071	164	34	,	,	PUNCT
ejpam-3071	164	35	where	where	SCONJ
ejpam-3071	164	36	functions	function	NOUN
ejpam-3071	164	37	ai(t	ai(t	NOUN
ejpam-3071	164	38	,	,	PUNCT
ejpam-3071	164	39	x	x	X
ejpam-3071	164	40	)	)	PUNCT
ejpam-3071	164	41	(	(	PUNCT
ejpam-3071	164	42	i	i	NOUN
ejpam-3071	164	43	=	=	NOUN
ejpam-3071	164	44	1	1	NUM
ejpam-3071	164	45	,	,	PUNCT
ejpam-3071	164	46	2	2	NUM
ejpam-3071	164	47	,	,	PUNCT
ejpam-3071	164	48	...	...	PUNCT
ejpam-3071	164	49	,	,	PUNCT
ejpam-3071	164	50	n	n	CCONJ
ejpam-3071	164	51	)	)	PUNCT
ejpam-3071	164	52	and	and	CCONJ
ejpam-3071	164	53	b(t	b(t	PROPN
ejpam-3071	164	54	,	,	PUNCT
ejpam-3071	164	55	x	x	PRON
ejpam-3071	164	56	)	)	PUNCT
ejpam-3071	164	57	must	must	AUX
ejpam-3071	164	58	be	be	AUX
ejpam-3071	164	59	replaced	replace	VERB
ejpam-3071	164	60	by	by	ADP
ejpam-3071	164	61	∂	∂	NUM
ejpam-3071	164	62	∂xi	∂xi	NOUN
ejpam-3071	164	63	lr+1	lr+1	VERB
ejpam-3071	164	64	(=	(=	X
ejpam-3071	164	65	(	(	PUNCT
ejpam-3071	164	66	u(t	u(t	PROPN
ejpam-3071	164	67	,	,	PUNCT
ejpam-3071	164	68	x)))(i	x)))(i	PROPN
ejpam-3071	164	69	=	=	SYM
ejpam-3071	164	70	1	1	NUM
ejpam-3071	164	71	,	,	PUNCT
ejpam-3071	164	72	2	2	NUM
ejpam-3071	164	73	,	,	PUNCT
ejpam-3071	164	74	...	...	PUNCT
ejpam-3071	164	75	,	,	PUNCT
ejpam-3071	164	76	n	n	CCONJ
ejpam-3071	164	77	)	)	PUNCT
ejpam-3071	164	78	and	and	CCONJ
ejpam-3071	164	79	lr+1(=(u(t	lr+1(=(u(t	PROPN
ejpam-3071	164	80	,	,	PUNCT
ejpam-3071	164	81	x	x	NOUN
ejpam-3071	164	82	)	)	PUNCT
ejpam-3071	164	83	)	)	PUNCT
ejpam-3071	164	84	)	)	PUNCT
ejpam-3071	164	85	,	,	PUNCT
ejpam-3071	164	86	respectively	respectively	ADV
ejpam-3071	164	87	,	,	PUNCT
ejpam-3071	164	88	we	we	PRON
ejpam-3071	164	89	obtain	obtain	VERB
ejpam-3071	164	90	from	from	ADP
ejpam-3071	164	91	(	(	PUNCT
ejpam-3071	164	92	14	14	NUM
ejpam-3071	164	93	)	)	PUNCT
ejpam-3071	164	94	,	,	PUNCT
ejpam-3071	164	95	(	(	PUNCT
ejpam-3071	164	96	15	15	NUM
ejpam-3071	164	97	)	)	PUNCT
ejpam-3071	164	98	and	and	CCONJ
ejpam-3071	164	99	(	(	PUNCT
ejpam-3071	164	100	16	16	NUM
ejpam-3071	164	101	)	)	PUNCT
ejpam-3071	164	102	that	that	PRON
ejpam-3071	164	103	∀u	∀u	NOUN
ejpam-3071	164	104	∈	∈	NOUN
ejpam-3071	164	105	et	et	NOUN
ejpam-3071	164	106	:	:	PUNCT
ejpam-3071	165	1	‖q(u)‖et	‖q(u)‖et	PROPN
ejpam-3071	165	2	≤	≤	PROPN
ejpam-3071	165	3	‖w	‖w	NOUN
ejpam-3071	165	4	(	(	PUNCT
ejpam-3071	165	5	t	t	PROPN
ejpam-3071	165	6	,	,	PUNCT
ejpam-3071	165	7	x)‖et	x)‖et	PUNCT
ejpam-3071	166	1	+	+	CCONJ
ejpam-3071	166	2	(2	(2	NOUN
ejpam-3071	166	3	t	t	PROPN
ejpam-3071	166	4	+	+	CCONJ
ejpam-3071	166	5	1	1	NUM
ejpam-3071	166	6	)	)	PUNCT
ejpam-3071	166	7	·	·	PUNCT
ejpam-3071	167	1	t∫	t∫	DET
ejpam-3071	167	2	0	0	NUM
ejpam-3071	167	3	∫	∫	PROPN
ejpam-3071	167	4	ω	ω	PROPN
ejpam-3071	167	5	[	[	PUNCT
ejpam-3071	167	6	lr+1	lr+1	PROPN
ejpam-3071	167	7	(=	(=	X
ejpam-3071	167	8	(	(	PUNCT
ejpam-3071	167	9	u(t	u(t	NOUN
ejpam-3071	167	10	,	,	PUNCT
ejpam-3071	167	11	x	x	NOUN
ejpam-3071	167	12	)	)	PUNCT
ejpam-3071	167	13	)	)	PUNCT
ejpam-3071	167	14	)	)	PUNCT
ejpam-3071	168	1	]	]	PUNCT
ejpam-3071	169	1	2	2	NUM
ejpam-3071	169	2	dxdt	dxdt	NOUN
ejpam-3071	169	3			NOUN
ejpam-3071	169	4	1	1	NUM
ejpam-3071	169	5	2	2	NUM
ejpam-3071	169	6	=	=	SYM
ejpam-3071	169	7	‖w	‖w	NOUN
ejpam-3071	169	8	(	(	PUNCT
ejpam-3071	169	9	t	t	PROPN
ejpam-3071	169	10	,	,	PUNCT
ejpam-3071	169	11	x)‖et	x)‖et	PUNCT
ejpam-3071	170	1	+	+	CCONJ
ejpam-3071	170	2	√	√	NUM
ejpam-3071	170	3	2	2	NUM
ejpam-3071	170	4	t	t	NOUN
ejpam-3071	170	5	+	+	CCONJ
ejpam-3071	170	6	1	1	NUM
ejpam-3071	170	7	·	·	PUNCT
ejpam-3071	170	8	∥∥lr+1(=(u(t	∥∥lr+1(=(u(t	NUM
ejpam-3071	170	9	,	,	PUNCT
ejpam-3071	170	10	x	x	NOUN
ejpam-3071	170	11	)	)	PUNCT
ejpam-3071	170	12	)	)	PUNCT
ejpam-3071	170	13	)	)	PUNCT
ejpam-3071	170	14	∥∥	∥∥	PROPN
ejpam-3071	170	15	l2(qt	l2(qt	PROPN
ejpam-3071	170	16	)	)	PUNCT
ejpam-3071	170	17	≤	≤	PROPN
ejpam-3071	170	18	‖w	‖w	NOUN
ejpam-3071	170	19	(	(	PUNCT
ejpam-3071	170	20	t	t	PROPN
ejpam-3071	170	21	,	,	PUNCT
ejpam-3071	170	22	x)‖et	x)‖et	PUNCT
ejpam-3071	171	1	+	+	CCONJ
ejpam-3071	172	1	c̃	c̃	PROPN
ejpam-3071	172	2	·	·	PUNCT
ejpam-3071	172	3	√	√	ADP
ejpam-3071	173	1	2	2	NUM
ejpam-3071	173	2	t	t	NOUN
ejpam-3071	173	3	+	+	CCONJ
ejpam-3071	173	4	1	1	NUM
ejpam-3071	173	5	·	·	PUNCT
ejpam-3071	173	6	‖=(u(t	‖=(u(t	PROPN
ejpam-3071	173	7	,	,	PUNCT
ejpam-3071	173	8	x))‖	x))‖	PROPN
ejpam-3071	173	9	w	w	NOUN
ejpam-3071	173	10	0,2(r+1	0,2(r+1	NOUN
ejpam-3071	173	11	)	)	PUNCT
ejpam-3071	173	12	t	t	PROPN
ejpam-3071	173	13	,	,	PUNCT
ejpam-3071	173	14	x,2	x,2	NUM
ejpam-3071	173	15	(	(	PUNCT
ejpam-3071	173	16	qt	qt	NOUN
ejpam-3071	173	17	)	)	PUNCT
ejpam-3071	173	18	for	for	ADP
ejpam-3071	173	19	n	n	NOUN
ejpam-3071	173	20	=	=	SYM
ejpam-3071	173	21	4r	4r	NOUN
ejpam-3071	173	22	,	,	PUNCT
ejpam-3071	173	23	4r	4r	NUM
ejpam-3071	173	24	+	+	CCONJ
ejpam-3071	173	25	1	1	NUM
ejpam-3071	173	26	,	,	PUNCT
ejpam-3071	173	27	(	(	PUNCT
ejpam-3071	173	28	17	17	NUM
ejpam-3071	173	29	)	)	PUNCT
ejpam-3071	173	30	‖q(u)‖et	‖q(u)‖et	PROPN
ejpam-3071	174	1	≤	≤	PROPN
ejpam-3071	174	2	‖w	‖w	NOUN
ejpam-3071	174	3	(	(	PUNCT
ejpam-3071	174	4	t	t	PROPN
ejpam-3071	174	5	,	,	PUNCT
ejpam-3071	174	6	x)‖et	x)‖et	PUNCT
ejpam-3071	175	1	+	+	CCONJ
ejpam-3071	175	2	(2	(2	NOUN
ejpam-3071	175	3	t	t	PROPN
ejpam-3071	175	4	+	+	CCONJ
ejpam-3071	175	5	1	1	NUM
ejpam-3071	175	6	)	)	PUNCT
ejpam-3071	175	7	·	·	PUNCT
ejpam-3071	176	1	t∫	t∫	DET
ejpam-3071	176	2	0	0	NUM
ejpam-3071	176	3	∫	∫	PROPN
ejpam-3071	176	4	ω	ω	PROPN
ejpam-3071	176	5			PROPN
ejpam-3071	176	6	n∑	n∑	PROPN
ejpam-3071	176	7	i	i	PROPN
ejpam-3071	176	8	,	,	PUNCT
ejpam-3071	176	9	j=1	j=1	PROPN
ejpam-3071	176	10	aij(x	aij(x	PROPN
ejpam-3071	176	11	)	)	PUNCT
ejpam-3071	176	12	∂	∂	NUM
ejpam-3071	176	13	∂xi	∂xi	NOUN
ejpam-3071	176	14	lr+1	lr+1	VERB
ejpam-3071	176	15	(=	(=	X
ejpam-3071	176	16	(	(	PUNCT
ejpam-3071	176	17	u(t	u(t	NOUN
ejpam-3071	176	18	,	,	PUNCT
ejpam-3071	176	19	x	x	NOUN
ejpam-3071	176	20	)	)	PUNCT
ejpam-3071	176	21	)	)	PUNCT
ejpam-3071	176	22	)	)	PUNCT
ejpam-3071	177	1	s.	s.	PROPN
ejpam-3071	177	2	j.aliyev	j.aliyev	PROPN
ejpam-3071	177	3	,	,	PUNCT
ejpam-3071	177	4	a.	a.	PROPN
ejpam-3071	177	5	g.aliyeva	g.aliyeva	PROPN
ejpam-3071	177	6	/	/	SYM
ejpam-3071	177	7	eur	eur	PROPN
ejpam-3071	177	8	.	.	PUNCT
ejpam-3071	178	1	j.	j.	PROPN
ejpam-3071	178	2	pure	pure	PROPN
ejpam-3071	178	3	appl	appl	PROPN
ejpam-3071	178	4	.	.	PROPN
ejpam-3071	178	5	math	math	PROPN
ejpam-3071	178	6	,	,	PUNCT
ejpam-3071	178	7	10	10	NUM
ejpam-3071	178	8	(	(	PUNCT
ejpam-3071	178	9	5	5	NUM
ejpam-3071	178	10	)	)	PUNCT
ejpam-3071	178	11	(	(	PUNCT
ejpam-3071	178	12	2017	2017	NUM
ejpam-3071	178	13	)	)	PUNCT
ejpam-3071	178	14	,	,	PUNCT
ejpam-3071	178	15	1078	1078	NUM
ejpam-3071	178	16	-	-	SYM
ejpam-3071	178	17	1091	1091	NUM
ejpam-3071	178	18	1086	1086	NUM
ejpam-3071	178	19	×	×	NOUN
ejpam-3071	178	20	∂	∂	NUM
ejpam-3071	178	21	∂xj	∂xj	NOUN
ejpam-3071	178	22	lr+1	lr+1	X
ejpam-3071	178	23	(=	(=	X
ejpam-3071	178	24	(	(	PUNCT
ejpam-3071	178	25	u(t	u(t	NOUN
ejpam-3071	178	26	,	,	PUNCT
ejpam-3071	178	27	x	x	NOUN
ejpam-3071	178	28	)	)	PUNCT
ejpam-3071	178	29	)	)	PUNCT
ejpam-3071	178	30	)	)	PUNCT
ejpam-3071	179	1	+	+	CCONJ
ejpam-3071	179	2	a(x	a(x	NOUN
ejpam-3071	179	3	)	)	PUNCT
ejpam-3071	179	4	[	[	PUNCT
ejpam-3071	179	5	lr+1(u(t	lr+1(u(t	X
ejpam-3071	179	6	,	,	PUNCT
ejpam-3071	179	7	x	x	NOUN
ejpam-3071	179	8	)	)	PUNCT
ejpam-3071	179	9	)	)	PUNCT
ejpam-3071	179	10	]	]	PUNCT
ejpam-3071	179	11	2	2	X
ejpam-3071	179	12	}	}	PUNCT
ejpam-3071	179	13	dxdt	dxdt	NOUN
ejpam-3071	179	14	}	}	PUNCT
ejpam-3071	179	15	1	1	NUM
ejpam-3071	179	16	2	2	NUM
ejpam-3071	179	17	=	=	SYM
ejpam-3071	179	18	‖w	‖w	NOUN
ejpam-3071	179	19	(	(	PUNCT
ejpam-3071	179	20	t	t	PROPN
ejpam-3071	179	21	,	,	PUNCT
ejpam-3071	179	22	x)‖et	x)‖et	PUNCT
ejpam-3071	180	1	+	+	CCONJ
ejpam-3071	180	2	√	√	NUM
ejpam-3071	180	3	2	2	NUM
ejpam-3071	180	4	t	t	NOUN
ejpam-3071	180	5	+	+	NOUN
ejpam-3071	180	6	1	1	NUM
ejpam-3071	180	7	·	·	PUNCT
ejpam-3071	180	8	{	{	PUNCT
ejpam-3071	180	9	∥∥d	∥∥d	PROPN
ejpam-3071	180	10	(	(	PUNCT
ejpam-3071	180	11	lr+1(=(u(t	lr+1(=(u(t	PROPN
ejpam-3071	180	12	,	,	PUNCT
ejpam-3071	180	13	x	x	NOUN
ejpam-3071	180	14	)	)	PUNCT
ejpam-3071	180	15	)	)	PUNCT
ejpam-3071	180	16	)	)	PUNCT
ejpam-3071	180	17	)	)	PUNCT
ejpam-3071	180	18	∥∥	∥∥	X
ejpam-3071	180	19	l(0,t	l(0,t	NOUN
ejpam-3071	180	20	)	)	PUNCT
ejpam-3071	180	21	}	}	PUNCT
ejpam-3071	180	22	1	1	NUM
ejpam-3071	180	23	2	2	NUM
ejpam-3071	180	24	≤	≤	NOUN
ejpam-3071	180	25	‖w	‖w	NOUN
ejpam-3071	180	26	(	(	PUNCT
ejpam-3071	180	27	t	t	PROPN
ejpam-3071	180	28	,	,	PUNCT
ejpam-3071	180	29	x)‖et	x)‖et	PUNCT
ejpam-3071	181	1	+	+	CCONJ
ejpam-3071	181	2	˜̃c	˜̃c	PRON
ejpam-3071	181	3	·	·	PUNCT
ejpam-3071	181	4	√	√	ADP
ejpam-3071	181	5	2	2	NUM
ejpam-3071	181	6	t	t	NOUN
ejpam-3071	181	7	+	+	CCONJ
ejpam-3071	181	8	1	1	NUM
ejpam-3071	181	9	·	·	PUNCT
ejpam-3071	181	10	‖=(u(t	‖=(u(t	PROPN
ejpam-3071	181	11	,	,	PUNCT
ejpam-3071	181	12	x))‖	x))‖	PROPN
ejpam-3071	181	13	w	w	ADP
ejpam-3071	181	14	0,2(r+1)+1	0,2(r+1)+1	PROPN
ejpam-3071	181	15	t	t	PROPN
ejpam-3071	181	16	,	,	PUNCT
ejpam-3071	181	17	x,2	x,2	NUM
ejpam-3071	181	18	(	(	PUNCT
ejpam-3071	181	19	qt	qt	NOUN
ejpam-3071	181	20	)	)	PUNCT
ejpam-3071	181	21	for	for	ADP
ejpam-3071	181	22	n	n	NOUN
ejpam-3071	181	23	=	=	NOUN
ejpam-3071	181	24	4r	4r	NOUN
ejpam-3071	181	25	+	+	CCONJ
ejpam-3071	181	26	2	2	NUM
ejpam-3071	181	27	,	,	PUNCT
ejpam-3071	181	28	4r	4r	NUM
ejpam-3071	181	29	+	+	CCONJ
ejpam-3071	181	30	3	3	NUM
ejpam-3071	181	31	,	,	PUNCT
ejpam-3071	181	32	(	(	PUNCT
ejpam-3071	181	33	18	18	NUM
ejpam-3071	181	34	)	)	PUNCT
ejpam-3071	181	35	where	where	SCONJ
ejpam-3071	181	36	c̃	c̃	PROPN
ejpam-3071	181	37	>	>	X
ejpam-3071	181	38	0	0	PUNCT
ejpam-3071	182	1	and	and	CCONJ
ejpam-3071	182	2	˜̃c	˜̃c	ADV
ejpam-3071	182	3	>	>	X
ejpam-3071	182	4	0	0	NUM
ejpam-3071	182	5	are	be	AUX
ejpam-3071	182	6	some	some	DET
ejpam-3071	182	7	constants	constant	NOUN
ejpam-3071	182	8	.	.	PUNCT
ejpam-3071	183	1	due	due	ADP
ejpam-3071	183	2	to	to	ADP
ejpam-3071	183	3	estimates	estimate	NOUN
ejpam-3071	183	4	(	(	PUNCT
ejpam-3071	183	5	17	17	NUM
ejpam-3071	183	6	)	)	PUNCT
ejpam-3071	183	7	and	and	CCONJ
ejpam-3071	183	8	(	(	PUNCT
ejpam-3071	183	9	18	18	NUM
ejpam-3071	183	10	)	)	PUNCT
ejpam-3071	183	11	,	,	PUNCT
ejpam-3071	183	12	we	we	PRON
ejpam-3071	183	13	have	have	VERB
ejpam-3071	183	14	for	for	ADP
ejpam-3071	183	15	every	every	DET
ejpam-3071	183	16	n	n	ADJ
ejpam-3071	183	17	and	and	CCONJ
ejpam-3071	183	18	∀u	∀u	NOUN
ejpam-3071	183	19	∈	∈	NOUN
ejpam-3071	183	20	et	et	NOUN
ejpam-3071	183	21	:	:	PUNCT
ejpam-3071	184	1	‖q(u)‖et	‖q(u)‖et	PROPN
ejpam-3071	184	2	≤	≤	PROPN
ejpam-3071	184	3	‖w	‖w	NOUN
ejpam-3071	184	4	(	(	PUNCT
ejpam-3071	184	5	t	t	PROPN
ejpam-3071	184	6	,	,	PUNCT
ejpam-3071	184	7	x)‖et	x)‖et	PUNCT
ejpam-3071	185	1	+	+	CCONJ
ejpam-3071	186	1	c	c	X
ejpam-3071	186	2	·	·	PUNCT
ejpam-3071	186	3	√	√	ADP
ejpam-3071	186	4	2	2	NUM
ejpam-3071	186	5	t	t	NOUN
ejpam-3071	186	6	+	+	CCONJ
ejpam-3071	186	7	1	1	NUM
ejpam-3071	186	8	·	·	PUNCT
ejpam-3071	186	9	‖=(u(t	‖=(u(t	PROPN
ejpam-3071	186	10	,	,	PUNCT
ejpam-3071	186	11	x))‖	x))‖	PROPN
ejpam-3071	187	1	w	w	PROPN
ejpam-3071	187	2	0	0	NUM
ejpam-3071	187	3	,	,	PUNCT
ejpam-3071	187	4	[	[	PUNCT
ejpam-3071	187	5	n	n	NOUN
ejpam-3071	187	6	2	2	NUM
ejpam-3071	187	7	]	]	PUNCT
ejpam-3071	187	8	+2	+2	PROPN
ejpam-3071	187	9	t	t	PROPN
ejpam-3071	187	10	,	,	PUNCT
ejpam-3071	187	11	x,2	x,2	NUM
ejpam-3071	187	12	(	(	PUNCT
ejpam-3071	187	13	qt	qt	NOUN
ejpam-3071	187	14	)	)	PUNCT
ejpam-3071	187	15	.	.	PUNCT
ejpam-3071	188	1	(	(	PUNCT
ejpam-3071	188	2	19	19	NUM
ejpam-3071	188	3	)	)	PUNCT
ejpam-3071	188	4	using	use	VERB
ejpam-3071	188	5	sobolev	sobolev	PROPN
ejpam-3071	188	6	’s	’s	PART
ejpam-3071	188	7	imbedding	imbed	VERB
ejpam-3071	188	8	theorems	theorem	NOUN
ejpam-3071	188	9	,	,	PUNCT
ejpam-3071	188	10	inequalities	inequality	NOUN
ejpam-3071	188	11	(	(	PUNCT
ejpam-3071	188	12	9	9	NUM
ejpam-3071	188	13	)	)	PUNCT
ejpam-3071	188	14	,	,	PUNCT
ejpam-3071	188	15	lemma	lemma	PROPN
ejpam-3071	188	16	1	1	NUM
ejpam-3071	188	17	,	,	PUNCT
ejpam-3071	188	18	estimates	estimate	NOUN
ejpam-3071	188	19	(	(	PUNCT
ejpam-3071	188	20	7	7	NUM
ejpam-3071	188	21	)	)	PUNCT
ejpam-3071	188	22	,	,	PUNCT
ejpam-3071	188	23	(	(	PUNCT
ejpam-3071	188	24	8)	8)	NUM
ejpam-3071	188	25	,	,	PUNCT
ejpam-3071	188	26	and	and	CCONJ
ejpam-3071	188	27	the	the	DET
ejpam-3071	188	28	structure	structure	NOUN
ejpam-3071	188	29	of	of	ADP
ejpam-3071	188	30	space	space	NOUN
ejpam-3071	188	31	et	et	PROPN
ejpam-3071	188	32	,	,	PUNCT
ejpam-3071	188	33	we	we	PRON
ejpam-3071	188	34	have	have	VERB
ejpam-3071	188	35	for	for	ADP
ejpam-3071	188	36	every	every	DET
ejpam-3071	188	37	u	u	PROPN
ejpam-3071	188	38	∈	∈	PROPN
ejpam-3071	188	39	et	et	NOUN
ejpam-3071	188	40	and	and	CCONJ
ejpam-3071	188	41	t	t	PROPN
ejpam-3071	188	42	∈	∈	PROPN
ejpam-3071	189	1	[	[	X
ejpam-3071	189	2	0	0	NUM
ejpam-3071	189	3	,	,	PUNCT
ejpam-3071	189	4	t	t	X
ejpam-3071	189	5	]	]	PUNCT
ejpam-3071	189	6	:	:	PUNCT
ejpam-3071	189	7	∥∥∥dk	∥∥∥dk	PROPN
ejpam-3071	189	8	td	td	NOUN
ejpam-3071	189	9	αu(t	αu(t	NUM
ejpam-3071	189	10	,	,	PUNCT
ejpam-3071	189	11	x	x	X
ejpam-3071	189	12	)	)	PUNCT
ejpam-3071	189	13	∥∥∥	∥∥∥	PROPN
ejpam-3071	189	14	l2(ω	l2(ω	NOUN
ejpam-3071	189	15	)	)	PUNCT
ejpam-3071	189	16	≤	≤	NUM
ejpam-3071	190	1	c	c	NOUN
ejpam-3071	190	2	·	·	PUNCT
ejpam-3071	190	3	‖u‖et	‖u‖et	ADJ
ejpam-3071	191	1	≤	≤	NUM
ejpam-3071	191	2	c	c	X
ejpam-3071	191	3	·	·	PUNCT
ejpam-3071	191	4	‖u‖et	‖u‖et	INTJ
ejpam-3071	191	5	(	(	PUNCT
ejpam-3071	191	6	k	k	NOUN
ejpam-3071	191	7	=	=	SYM
ejpam-3071	191	8	0	0	NUM
ejpam-3071	191	9	,	,	PUNCT
ejpam-3071	191	10	1	1	NUM
ejpam-3071	191	11	;	;	PUNCT
ejpam-3071	191	12	0	0	NUM
ejpam-3071	191	13	≤	≤	NUM
ejpam-3071	192	1	k	k	X
ejpam-3071	193	1	+	+	CCONJ
ejpam-3071	193	2	|α|	|α|	PROPN
ejpam-3071	193	3	≤	≤	NOUN
ejpam-3071	194	1	[	[	X
ejpam-3071	194	2	n	n	X
ejpam-3071	194	3	2	2	NUM
ejpam-3071	194	4	]	]	PUNCT
ejpam-3071	194	5	+	+	CCONJ
ejpam-3071	194	6	4	4	NUM
ejpam-3071	194	7	)	)	PUNCT
ejpam-3071	194	8	,	,	PUNCT
ejpam-3071	194	9	(	(	PUNCT
ejpam-3071	194	10	20	20	X
ejpam-3071	194	11	)	)	PUNCT
ejpam-3071	194	12	∥∥∥dk	∥∥∥dk	PROPN
ejpam-3071	194	13	td	td	NOUN
ejpam-3071	194	14	αu(t	αu(t	NUM
ejpam-3071	194	15	,	,	PUNCT
ejpam-3071	194	16	x	x	X
ejpam-3071	194	17	)	)	PUNCT
ejpam-3071	194	18	∥∥∥	∥∥∥	PROPN
ejpam-3071	194	19	c(q̄t	c(q̄t	PROPN
ejpam-3071	194	20	)	)	PUNCT
ejpam-3071	194	21	≤	≤	PUNCT
ejpam-3071	195	1	c	c	X
ejpam-3071	195	2	·	·	PUNCT
ejpam-3071	195	3	‖u‖et	‖u‖et	INTJ
ejpam-3071	196	1	(	(	PUNCT
ejpam-3071	196	2	k	k	NOUN
ejpam-3071	196	3	=	=	SYM
ejpam-3071	196	4	0	0	NUM
ejpam-3071	196	5	,	,	PUNCT
ejpam-3071	196	6	1	1	NUM
ejpam-3071	196	7	;	;	PUNCT
ejpam-3071	196	8	0	0	NUM
ejpam-3071	196	9	≤	≤	NUM
ejpam-3071	197	1	k	k	X
ejpam-3071	197	2	+	+	CCONJ
ejpam-3071	197	3	|α|	|α|	PROPN
ejpam-3071	197	4	≤	≤	NUM
ejpam-3071	197	5	3	3	NUM
ejpam-3071	197	6	)	)	PUNCT
ejpam-3071	197	7	,	,	PUNCT
ejpam-3071	197	8	(	(	PUNCT
ejpam-3071	197	9	21	21	NUM
ejpam-3071	197	10	)	)	PUNCT
ejpam-3071	197	11	∥∥∥dk	∥∥∥dk	PROPN
ejpam-3071	197	12	td	td	NOUN
ejpam-3071	197	13	αu(t	αu(t	NUM
ejpam-3071	197	14	,	,	PUNCT
ejpam-3071	197	15	x	x	X
ejpam-3071	197	16	)	)	PUNCT
ejpam-3071	197	17	∥∥∥	∥∥∥	NOUN
ejpam-3071	197	18	lq(ω	lq(ω	NOUN
ejpam-3071	197	19	)	)	PUNCT
ejpam-3071	197	20	≤	≤	NUM
ejpam-3071	198	1	cq	cq	PROPN
ejpam-3071	198	2	·	·	PUNCT
ejpam-3071	198	3	‖u‖et	‖u‖et	PROPN
ejpam-3071	199	1	≤	≤	PROPN
ejpam-3071	199	2	cq	cq	PROPN
ejpam-3071	199	3	·	·	PUNCT
ejpam-3071	199	4	‖u‖et	‖u‖et	INTJ
ejpam-3071	200	1	(	(	PUNCT
ejpam-3071	200	2	k	k	NOUN
ejpam-3071	200	3	=	=	SYM
ejpam-3071	200	4	0	0	NUM
ejpam-3071	200	5	,	,	PUNCT
ejpam-3071	200	6	1	1	NUM
ejpam-3071	200	7	;	;	PUNCT
ejpam-3071	200	8	0	0	NUM
ejpam-3071	200	9	≤	≤	NUM
ejpam-3071	201	1	k	k	X
ejpam-3071	202	1	+	+	CCONJ
ejpam-3071	202	2	|α|	|α|	PROPN
ejpam-3071	202	3	≤	≤	NOUN
ejpam-3071	203	1	[	[	X
ejpam-3071	203	2	n	n	X
ejpam-3071	203	3	2	2	NUM
ejpam-3071	203	4	]	]	PUNCT
ejpam-3071	203	5	+	+	CCONJ
ejpam-3071	203	6	4	4	NUM
ejpam-3071	203	7	)	)	PUNCT
ejpam-3071	204	1	,	,	PUNCT
ejpam-3071	204	2	(	(	PUNCT
ejpam-3071	204	3	22	22	NUM
ejpam-3071	204	4	)	)	PUNCT
ejpam-3071	204	5	where	where	SCONJ
ejpam-3071	204	6	c	c	AUX
ejpam-3071	204	7	>	>	X
ejpam-3071	204	8	0	0	PROPN
ejpam-3071	204	9	,	,	PUNCT
ejpam-3071	204	10	cq	cq	NOUN
ejpam-3071	204	11	>	>	X
ejpam-3071	204	12	0	0	NUM
ejpam-3071	204	13	are	be	AUX
ejpam-3071	204	14	some	some	DET
ejpam-3071	204	15	constants	constant	NOUN
ejpam-3071	204	16	not	not	PART
ejpam-3071	204	17	depending	depend	VERB
ejpam-3071	204	18	on	on	ADP
ejpam-3071	204	19	u	u	PROPN
ejpam-3071	204	20	and	and	CCONJ
ejpam-3071	204	21	t	t	PROPN
ejpam-3071	204	22	,	,	PUNCT
ejpam-3071	204	23	and	and	CCONJ
ejpam-3071	204	24	1	1	NUM
ejpam-3071	204	25	≤	≤	NUM
ejpam-3071	204	26	q	q	PROPN
ejpam-3071	204	27	≤	≤	NUM
ejpam-3071	204	28	2n	2n	NUM
ejpam-3071	204	29	n−	n−	NOUN
ejpam-3071	204	30	2	2	NUM
ejpam-3071	204	31	(	(	PUNCT
ejpam-3071	204	32	[	[	PUNCT
ejpam-3071	204	33	n	n	X
ejpam-3071	204	34	2	2	NUM
ejpam-3071	204	35	]	]	PUNCT
ejpam-3071	205	1	+	+	CCONJ
ejpam-3071	205	2	4−	4−	NUM
ejpam-3071	205	3	k	k	NOUN
ejpam-3071	206	1	−	−	PROPN
ejpam-3071	206	2	|α|	|α|	PROPN
ejpam-3071	206	3	)	)	PUNCT
ejpam-3071	206	4	=	=	SYM
ejpam-3071	206	5	2n	2n	NUM
ejpam-3071	206	6	n−	n−	NOUN
ejpam-3071	206	7	2	2	NUM
ejpam-3071	206	8	(	(	PUNCT
ejpam-3071	206	9	[	[	PUNCT
ejpam-3071	206	10	n	n	X
ejpam-3071	206	11	2	2	NUM
ejpam-3071	206	12	]	]	PUNCT
ejpam-3071	206	13	+	+	CCONJ
ejpam-3071	206	14	4	4	X
ejpam-3071	206	15	)	)	PUNCT
ejpam-3071	206	16	+	+	CCONJ
ejpam-3071	206	17	2	2	X
ejpam-3071	206	18	(	(	PUNCT
ejpam-3071	206	19	k	k	PROPN
ejpam-3071	206	20	+	+	CCONJ
ejpam-3071	206	21	|α|	|α|	PROPN
ejpam-3071	206	22	)	)	PUNCT
ejpam-3071	206	23	,	,	PUNCT
ejpam-3071	206	24	q	q	X
ejpam-3071	206	25	<	<	X
ejpam-3071	206	26	+	+	ADJ
ejpam-3071	206	27	∞.	∞.	PROPN
ejpam-3071	206	28	(	(	PUNCT
ejpam-3071	206	29	23	23	NUM
ejpam-3071	206	30	)	)	PUNCT
ejpam-3071	206	31	due	due	ADP
ejpam-3071	206	32	to	to	ADP
ejpam-3071	206	33	estimates	estimate	NOUN
ejpam-3071	206	34	(	(	PUNCT
ejpam-3071	206	35	21	21	NUM
ejpam-3071	206	36	)	)	PUNCT
ejpam-3071	206	37	and	and	CCONJ
ejpam-3071	206	38	condition	condition	NOUN
ejpam-3071	206	39	3a	3a	NUM
ejpam-3071	206	40	of	of	ADP
ejpam-3071	206	41	this	this	DET
ejpam-3071	206	42	theorem	theorem	VERB
ejpam-3071	206	43	,	,	PUNCT
ejpam-3071	206	44	∀u	∀u	NOUN
ejpam-3071	206	45	∈	∈	NOUN
ejpam-3071	206	46	kr	kr	NOUN
ejpam-3071	206	47	:	:	PUNCT
ejpam-3071	206	48	∥∥∂sf	∥∥∂sf	X
ejpam-3071	206	49	(	(	PUNCT
ejpam-3071	206	50	t	t	PROPN
ejpam-3071	206	51	,	,	PUNCT
ejpam-3071	206	52	x	x	NOUN
ejpam-3071	206	53	,	,	PUNCT
ejpam-3071	206	54	u(t	u(t	NOUN
ejpam-3071	206	55	,	,	PUNCT
ejpam-3071	206	56	x	x	NOUN
ejpam-3071	206	57	)	)	PUNCT
ejpam-3071	206	58	,	,	PUNCT
ejpam-3071	206	59	ut(t	ut(t	PROPN
ejpam-3071	206	60	,	,	PUNCT
ejpam-3071	206	61	x	x	NOUN
ejpam-3071	206	62	)	)	PUNCT
ejpam-3071	206	63	,	,	PUNCT
ejpam-3071	206	64	ux(t	ux(t	PRON
ejpam-3071	206	65	,	,	PUNCT
ejpam-3071	206	66	x	x	NOUN
ejpam-3071	206	67	)	)	PUNCT
ejpam-3071	206	68	,	,	PUNCT
ejpam-3071	206	69	utx(t	utx(t	PROPN
ejpam-3071	206	70	,	,	PUNCT
ejpam-3071	206	71	x	x	NOUN
ejpam-3071	206	72	)	)	PUNCT
ejpam-3071	206	73	,	,	PUNCT
ejpam-3071	206	74	uxx(t	uxx(t	PROPN
ejpam-3071	206	75	,	,	PUNCT
ejpam-3071	206	76	x	x	NOUN
ejpam-3071	206	77	)	)	PUNCT
ejpam-3071	206	78	/	/	SYM
ejpam-3071	207	1	∂xα∂uγ11	∂xα∂uγ11	INTJ
ejpam-3071	207	2	...	...	PUNCT
ejpam-3071	208	1	∂u	∂u	NUM
ejpam-3071	208	2	γn	γn	ADP
ejpam-3071	208	3	n	n	CCONJ
ejpam-3071	208	4	∥∥	∥∥	X
ejpam-3071	208	5	c(q̄t	c(q̄t	PROPN
ejpam-3071	208	6	)	)	PUNCT
ejpam-3071	208	7	≤	≤	NOUN
ejpam-3071	208	8	ãr	ãr	PRON
ejpam-3071	209	1	(	(	PUNCT
ejpam-3071	209	2	0	0	NUM
ejpam-3071	209	3	≤	≤	NUM
ejpam-3071	209	4	|α|+	|α|+	PROPN
ejpam-3071	209	5	n∑	n∑	PROPN
ejpam-3071	209	6	i=1	i=1	PROPN
ejpam-3071	209	7	γi	γi	X
ejpam-3071	209	8	=	=	SYM
ejpam-3071	209	9	s	s	PART
ejpam-3071	209	10	≤	≤	X
ejpam-3071	210	1	[	[	X
ejpam-3071	210	2	n	n	X
ejpam-3071	210	3	2	2	NUM
ejpam-3071	210	4	]	]	PUNCT
ejpam-3071	211	1	+	+	CCONJ
ejpam-3071	211	2	2	2	X
ejpam-3071	211	3	)	)	PUNCT
ejpam-3071	211	4	,	,	PUNCT
ejpam-3071	211	5	(	(	PUNCT
ejpam-3071	211	6	24	24	NUM
ejpam-3071	211	7	)	)	PUNCT
ejpam-3071	211	8	where	where	SCONJ
ejpam-3071	211	9	ar	ar	PROPN
ejpam-3071	211	10	>	>	X
ejpam-3071	211	11	0	0	NUM
ejpam-3071	211	12	is	be	AUX
ejpam-3071	211	13	some	some	DET
ejpam-3071	211	14	constant	constant	ADJ
ejpam-3071	211	15	depending	depend	VERB
ejpam-3071	211	16	on	on	ADP
ejpam-3071	211	17	the	the	DET
ejpam-3071	211	18	radius	radius	NOUN
ejpam-3071	211	19	of	of	ADP
ejpam-3071	211	20	closed	closed	ADJ
ejpam-3071	211	21	sphere	sphere	ADV
ejpam-3071	211	22	kr	kr	PROPN
ejpam-3071	211	23	in	in	ADP
ejpam-3071	211	24	space	space	NOUN
ejpam-3071	211	25	et	et	NOUN
ejpam-3071	211	26	with	with	ADP
ejpam-3071	211	27	a	a	DET
ejpam-3071	211	28	center	center	NOUN
ejpam-3071	211	29	in	in	ADP
ejpam-3071	211	30	zero	zero	NUM
ejpam-3071	211	31	and	and	CCONJ
ejpam-3071	211	32	a	a	DET
ejpam-3071	211	33	radius	radius	NOUN
ejpam-3071	211	34	r.	r.	PROPN
ejpam-3071	211	35	next	next	ADV
ejpam-3071	211	36	,	,	PUNCT
ejpam-3071	211	37	due	due	ADP
ejpam-3071	211	38	to	to	ADP
ejpam-3071	211	39	estimates	estimate	NOUN
ejpam-3071	211	40	(	(	PUNCT
ejpam-3071	211	41	24	24	NUM
ejpam-3071	211	42	)	)	PUNCT
ejpam-3071	211	43	and	and	CCONJ
ejpam-3071	211	44	(	(	PUNCT
ejpam-3071	211	45	21	21	NUM
ejpam-3071	211	46	)	)	PUNCT
ejpam-3071	211	47	,	,	PUNCT
ejpam-3071	211	48	to	to	PART
ejpam-3071	211	49	have	have	VERB
ejpam-3071	211	50	an	an	DET
ejpam-3071	211	51	estimate	estimate	NOUN
ejpam-3071	211	52	for	for	ADP
ejpam-3071	211	53	s.	s.	PROPN
ejpam-3071	211	54	j.aliyev	j.aliyev	PROPN
ejpam-3071	211	55	,	,	PUNCT
ejpam-3071	211	56	a.	a.	PROPN
ejpam-3071	211	57	g.aliyeva	g.aliyeva	PROPN
ejpam-3071	211	58	/	/	SYM
ejpam-3071	211	59	eur	eur	PROPN
ejpam-3071	211	60	.	.	PUNCT
ejpam-3071	212	1	j.	j.	PROPN
ejpam-3071	212	2	pure	pure	PROPN
ejpam-3071	212	3	appl	appl	PROPN
ejpam-3071	212	4	.	.	PROPN
ejpam-3071	212	5	math	math	PROPN
ejpam-3071	212	6	,	,	PUNCT
ejpam-3071	212	7	10	10	NUM
ejpam-3071	212	8	(	(	PUNCT
ejpam-3071	212	9	5	5	NUM
ejpam-3071	212	10	)	)	PUNCT
ejpam-3071	212	11	(	(	PUNCT
ejpam-3071	212	12	2017	2017	NUM
ejpam-3071	212	13	)	)	PUNCT
ejpam-3071	212	14	,	,	PUNCT
ejpam-3071	212	15	1078	1078	NUM
ejpam-3071	212	16	-	-	SYM
ejpam-3071	212	17	1091	1091	NUM
ejpam-3071	212	18	1087	1087	NUM
ejpam-3071	212	19	∂[n2	∂[n2	NOUN
ejpam-3071	212	20	]	]	PUNCT
ejpam-3071	212	21	+2	+2	ADP
ejpam-3071	212	22	∂xα1	∂xα1	NOUN
ejpam-3071	212	23	1	1	NUM
ejpam-3071	212	24	...	...	PUNCT
ejpam-3071	212	25	∂xαnn	∂xαnn	VERB
ejpam-3071	212	26	{	{	PUNCT
ejpam-3071	212	27	=(	=(	NOUN
ejpam-3071	212	28	u(t	u(t	NOUN
ejpam-3071	212	29	,	,	PUNCT
ejpam-3071	212	30	x	x	NOUN
ejpam-3071	212	31	)	)	PUNCT
ejpam-3071	212	32	)	)	PUNCT
ejpam-3071	212	33	}	}	PUNCT
ejpam-3071	212	34	with	with	ADP
ejpam-3071	212	35	u	u	PROPN
ejpam-3071	212	36	∈	∈	PROPN
ejpam-3071	212	37	kr	kr	PROPN
ejpam-3071	212	38	,	,	PUNCT
ejpam-3071	212	39	it	it	PRON
ejpam-3071	212	40	suffices	suffice	VERB
ejpam-3071	212	41	to	to	PART
ejpam-3071	212	42	estimate	estimate	VERB
ejpam-3071	212	43	in	in	ADP
ejpam-3071	212	44	l2(qt	l2(qt	PROPN
ejpam-3071	212	45	)	)	PUNCT
ejpam-3071	212	46	the	the	DET
ejpam-3071	212	47	products	product	NOUN
ejpam-3071	212	48	of	of	ADP
ejpam-3071	212	49	the	the	DET
ejpam-3071	212	50	following	follow	VERB
ejpam-3071	212	51	form	form	NOUN
ejpam-3071	212	52	:	:	PUNCT
ejpam-3071	213	1	l∏	l∏	PROPN
ejpam-3071	213	2	i=1	i=1	PROPN
ejpam-3071	214	1	dkil	dkil	PROPN
ejpam-3071	214	2	t	t	PROPN
ejpam-3071	214	3	dαilu(t	dαilu(t	PROPN
ejpam-3071	214	4	,	,	PUNCT
ejpam-3071	214	5	x	x	X
ejpam-3071	214	6	)	)	PUNCT
ejpam-3071	214	7	(	(	PUNCT
ejpam-3071	214	8	l	l	NOUN
ejpam-3071	214	9	=	=	SYM
ejpam-3071	214	10	1	1	NUM
ejpam-3071	214	11	,	,	PUNCT
ejpam-3071	214	12	2	2	NUM
ejpam-3071	214	13	,	,	PUNCT
ejpam-3071	214	14	...	...	PUNCT
ejpam-3071	214	15	,	,	PUNCT
ejpam-3071	215	1	[	[	X
ejpam-3071	215	2	n	n	X
ejpam-3071	215	3	2	2	NUM
ejpam-3071	215	4	]	]	PUNCT
ejpam-3071	215	5	+	+	CCONJ
ejpam-3071	215	6	2	2	NUM
ejpam-3071	215	7	;	;	PUNCT
ejpam-3071	216	1	4	4	NUM
ejpam-3071	216	2	≤	≤	NUM
ejpam-3071	216	3	kil	kil	X
ejpam-3071	216	4	+	+	CCONJ
ejpam-3071	216	5	|αil|	|αil|	PROPN
ejpam-3071	216	6	;	;	PUNCT
ejpam-3071	216	7	l∑	l∑	NUM
ejpam-3071	216	8	i=1	i=1	PROPN
ejpam-3071	216	9	(	(	PUNCT
ejpam-3071	216	10	kil	kil	PROPN
ejpam-3071	216	11	+	+	SYM
ejpam-3071	216	12	|αil|	|αil|	PROPN
ejpam-3071	216	13	)	)	PUNCT
ejpam-3071	216	14	≤	≤	NUM
ejpam-3071	216	15	l	l	NOUN
ejpam-3071	216	16	·	·	PUNCT
ejpam-3071	216	17	3	3	X
ejpam-3071	217	1	+	+	CCONJ
ejpam-3071	217	2	(	(	PUNCT
ejpam-3071	217	3	[	[	X
ejpam-3071	217	4	n	n	X
ejpam-3071	217	5	2	2	NUM
ejpam-3071	217	6	]	]	PUNCT
ejpam-3071	217	7	+	+	CCONJ
ejpam-3071	217	8	2−	2−	NUM
ejpam-3071	217	9	l	l	NOUN
ejpam-3071	217	10	)	)	PUNCT
ejpam-3071	218	1	=	=	PUNCT
ejpam-3071	219	1	[	[	X
ejpam-3071	219	2	n	n	X
ejpam-3071	219	3	2	2	NUM
ejpam-3071	219	4	]	]	PUNCT
ejpam-3071	220	1	+	+	CCONJ
ejpam-3071	220	2	2l	2l	NOUN
ejpam-3071	220	3	+	+	CCONJ
ejpam-3071	220	4	2	2	NUM
ejpam-3071	220	5	;	;	PUNCT
ejpam-3071	220	6	kil	kil	PROPN
ejpam-3071	220	7	≤	≤	PROPN
ejpam-3071	220	8	1	1	NUM
ejpam-3071	220	9	)	)	PUNCT
ejpam-3071	220	10	.	.	PUNCT
ejpam-3071	221	1	(	(	PUNCT
ejpam-3071	221	2	25	25	NUM
ejpam-3071	221	3	)	)	PUNCT
ejpam-3071	221	4	using	use	VERB
ejpam-3071	221	5	estimate	estimate	NOUN
ejpam-3071	221	6	(	(	PUNCT
ejpam-3071	221	7	22	22	NUM
ejpam-3071	221	8	)	)	PUNCT
ejpam-3071	221	9	and	and	CCONJ
ejpam-3071	221	10	taking	take	VERB
ejpam-3071	221	11	(	(	PUNCT
ejpam-3071	221	12	23	23	NUM
ejpam-3071	221	13	)	)	PUNCT
ejpam-3071	221	14	into	into	ADP
ejpam-3071	221	15	account	account	NOUN
ejpam-3071	221	16	,	,	PUNCT
ejpam-3071	221	17	for	for	ADP
ejpam-3071	221	18	products	product	NOUN
ejpam-3071	221	19	of	of	ADP
ejpam-3071	221	20	the	the	DET
ejpam-3071	221	21	form	form	NOUN
ejpam-3071	221	22	(	(	PUNCT
ejpam-3071	221	23	25	25	NUM
ejpam-3071	221	24	)	)	PUNCT
ejpam-3071	221	25	with	with	ADP
ejpam-3071	221	26	any	any	DET
ejpam-3071	221	27	u	u	PROPN
ejpam-3071	221	28	∈	∈	PROPN
ejpam-3071	221	29	kr	kr	PROPN
ejpam-3071	221	30	and	and	CCONJ
ejpam-3071	221	31	t	t	NOUN
ejpam-3071	221	32	∈	∈	PROPN
ejpam-3071	222	1	[	[	X
ejpam-3071	222	2	0	0	NUM
ejpam-3071	222	3	,	,	PUNCT
ejpam-3071	222	4	t	t	X
ejpam-3071	222	5	]	]	PUNCT
ejpam-3071	222	6	we	we	PRON
ejpam-3071	223	1	have:∥∥∥∥∥	have:∥∥∥∥∥	PROPN
ejpam-3071	223	2	l∏	l∏	PROPN
ejpam-3071	223	3	i=1	i=1	PROPN
ejpam-3071	223	4	dkil	dkil	PROPN
ejpam-3071	223	5	t	t	PROPN
ejpam-3071	223	6	dαilu(t	dαilu(t	PROPN
ejpam-3071	223	7	,	,	PUNCT
ejpam-3071	223	8	x	x	X
ejpam-3071	223	9	)	)	PUNCT
ejpam-3071	223	10	∥∥∥∥∥	∥∥∥∥∥	PUNCT
ejpam-3071	224	1	l2(ω	l2(ω	NOUN
ejpam-3071	224	2	)	)	PUNCT
ejpam-3071	224	3	≤	≤	NOUN
ejpam-3071	225	1	l∏	l∏	PROPN
ejpam-3071	225	2	i=1	i=1	PROPN
ejpam-3071	226	1	∥∥∥dkil	∥∥∥dkil	NOUN
ejpam-3071	226	2	t	t	PROPN
ejpam-3071	226	3	dαilu(t	dαilu(t	PROPN
ejpam-3071	226	4	,	,	PUNCT
ejpam-3071	226	5	x	x	NOUN
ejpam-3071	226	6	)	)	PUNCT
ejpam-3071	226	7	∥∥∥	∥∥∥	PROPN
ejpam-3071	226	8	l2pi(ω	l2pi(ω	PROPN
ejpam-3071	226	9	)	)	PUNCT
ejpam-3071	226	10	≤	≤	PUNCT
ejpam-3071	227	1	c	c	NOUN
ejpam-3071	227	2	·	·	PUNCT
ejpam-3071	227	3	‖u‖let	‖u‖let	VERB
ejpam-3071	227	4	≤	≤	NUM
ejpam-3071	227	5	c	c	NOUN
ejpam-3071	227	6	·	·	PUNCT
ejpam-3071	228	1	‖u‖	‖u‖	NUM
ejpam-3071	228	2	l	l	NOUN
ejpam-3071	228	3	et	et	NOUN
ejpam-3071	228	4	≤	≤	PUNCT
ejpam-3071	228	5	c	c	X
ejpam-3071	228	6	·	·	PUNCT
ejpam-3071	228	7	rl	rl	PROPN
ejpam-3071	228	8	,	,	PUNCT
ejpam-3071	228	9	(	(	PUNCT
ejpam-3071	228	10	26	26	NUM
ejpam-3071	228	11	)	)	PUNCT
ejpam-3071	228	12	where	where	SCONJ
ejpam-3071	228	13	c	c	X
ejpam-3071	228	14	>	>	X
ejpam-3071	228	15	0	0	NUM
ejpam-3071	228	16	is	be	AUX
ejpam-3071	228	17	some	some	DET
ejpam-3071	228	18	constant	constant	ADJ
ejpam-3071	228	19	and	and	CCONJ
ejpam-3071	228	20	1	1	NUM
ejpam-3071	228	21	≤	≤	NUM
ejpam-3071	228	22	pi	pi	NOUN
ejpam-3071	228	23	≤	≤	NUM
ejpam-3071	228	24	n	n	PRON
ejpam-3071	228	25	n−	n−	PROPN
ejpam-3071	228	26	2	2	NUM
ejpam-3071	228	27	(	(	PUNCT
ejpam-3071	228	28	[	[	PUNCT
ejpam-3071	228	29	n	n	X
ejpam-3071	228	30	2	2	NUM
ejpam-3071	228	31	]	]	PUNCT
ejpam-3071	228	32	+	+	CCONJ
ejpam-3071	228	33	4	4	X
ejpam-3071	228	34	)	)	PUNCT
ejpam-3071	229	1	+	+	CCONJ
ejpam-3071	229	2	2	2	NUM
ejpam-3071	229	3	(	(	PUNCT
ejpam-3071	229	4	kil	kil	X
ejpam-3071	229	5	+	+	SYM
ejpam-3071	229	6	|αil|	|αil|	PROPN
ejpam-3071	229	7	)	)	PUNCT
ejpam-3071	229	8	,	,	PUNCT
ejpam-3071	229	9	pi	pi	NOUN
ejpam-3071	229	10	<	<	X
ejpam-3071	229	11	+	+	NOUN
ejpam-3071	229	12	∞	∞	PROPN
ejpam-3071	229	13	,	,	PUNCT
ejpam-3071	229	14	l∑	l∑	PUNCT
ejpam-3071	230	1	i=1	i=1	PROPN
ejpam-3071	230	2	1	1	NUM
ejpam-3071	230	3	pi	pi	NOUN
ejpam-3071	230	4	=	=	SYM
ejpam-3071	230	5	1	1	NUM
ejpam-3071	230	6	,	,	PUNCT
ejpam-3071	230	7	(	(	PUNCT
ejpam-3071	230	8	27	27	NUM
ejpam-3071	230	9	)	)	PUNCT
ejpam-3071	230	10	the	the	DET
ejpam-3071	230	11	possibility	possibility	NOUN
ejpam-3071	230	12	of	of	ADP
ejpam-3071	230	13	last	last	ADJ
ejpam-3071	230	14	equality	equality	NOUN
ejpam-3071	230	15	following	follow	VERB
ejpam-3071	230	16	from	from	ADP
ejpam-3071	230	17	the	the	DET
ejpam-3071	230	18	relation	relation	NOUN
ejpam-3071	230	19	below	below	ADV
ejpam-3071	230	20	:	:	PUNCT
ejpam-3071	230	21	l∑	l∑	PROPN
ejpam-3071	231	1	i=1	i=1	PROPN
ejpam-3071	231	2	n−	n−	NOUN
ejpam-3071	231	3	2	2	NUM
ejpam-3071	231	4	(	(	PUNCT
ejpam-3071	231	5	[	[	PUNCT
ejpam-3071	231	6	n	n	X
ejpam-3071	231	7	2	2	NUM
ejpam-3071	231	8	]	]	PUNCT
ejpam-3071	232	1	+	+	CCONJ
ejpam-3071	232	2	4	4	X
ejpam-3071	232	3	)	)	PUNCT
ejpam-3071	232	4	+	+	CCONJ
ejpam-3071	232	5	2	2	NUM
ejpam-3071	232	6	(	(	PUNCT
ejpam-3071	232	7	kil	kil	X
ejpam-3071	232	8	+	+	SYM
ejpam-3071	232	9	|αil|	|αil|	PROPN
ejpam-3071	232	10	)	)	PUNCT
ejpam-3071	232	11	n	n	NOUN
ejpam-3071	232	12	=	=	SYM
ejpam-3071	232	13	1	1	NUM
ejpam-3071	232	14	n	n	NOUN
ejpam-3071	232	15	{	{	PUNCT
ejpam-3071	232	16	(	(	PUNCT
ejpam-3071	232	17	n−	n−	NOUN
ejpam-3071	232	18	2	2	NUM
ejpam-3071	232	19	(	(	PUNCT
ejpam-3071	232	20	[	[	X
ejpam-3071	232	21	n	n	X
ejpam-3071	232	22	2	2	NUM
ejpam-3071	232	23	]	]	PUNCT
ejpam-3071	233	1	+	+	CCONJ
ejpam-3071	233	2	4	4	NUM
ejpam-3071	233	3	)	)	PUNCT
ejpam-3071	233	4	)	)	PUNCT
ejpam-3071	233	5	·	·	PUNCT
ejpam-3071	234	1	l	l	PUNCT
ejpam-3071	235	1	+	+	CCONJ
ejpam-3071	235	2	2	2	NUM
ejpam-3071	235	3	l∑	l∑	NUM
ejpam-3071	235	4	i=1	i=1	PROPN
ejpam-3071	235	5	(	(	PUNCT
ejpam-3071	235	6	kil	kil	PROPN
ejpam-3071	235	7	+	+	SYM
ejpam-3071	235	8	|αil|	|αil|	PROPN
ejpam-3071	235	9	)	)	PUNCT
ejpam-3071	235	10	}	}	PUNCT
ejpam-3071	235	11	≤	≤	NUM
ejpam-3071	235	12	1	1	NUM
ejpam-3071	235	13	n	n	NOUN
ejpam-3071	235	14	{	{	PUNCT
ejpam-3071	235	15	(	(	PUNCT
ejpam-3071	235	16	n−	n−	NOUN
ejpam-3071	235	17	2	2	NUM
ejpam-3071	235	18	(	(	PUNCT
ejpam-3071	235	19	[	[	X
ejpam-3071	235	20	n	n	X
ejpam-3071	235	21	2	2	NUM
ejpam-3071	235	22	]	]	PUNCT
ejpam-3071	236	1	+	+	CCONJ
ejpam-3071	236	2	4	4	NUM
ejpam-3071	236	3	)	)	PUNCT
ejpam-3071	236	4	)	)	PUNCT
ejpam-3071	236	5	·	·	PUNCT
ejpam-3071	237	1	l	l	PUNCT
ejpam-3071	237	2	+	+	CCONJ
ejpam-3071	237	3	2	2	NUM
ejpam-3071	237	4	(	(	PUNCT
ejpam-3071	237	5	[	[	X
ejpam-3071	237	6	n	n	X
ejpam-3071	237	7	2	2	NUM
ejpam-3071	237	8	]	]	PUNCT
ejpam-3071	238	1	+	+	CCONJ
ejpam-3071	238	2	2l	2l	NOUN
ejpam-3071	238	3	+	+	CCONJ
ejpam-3071	238	4	2	2	NUM
ejpam-3071	238	5	)	)	PUNCT
ejpam-3071	238	6	}	}	PUNCT
ejpam-3071	238	7	=	=	SYM
ejpam-3071	238	8	1	1	NUM
ejpam-3071	238	9	n	n	CCONJ
ejpam-3071	238	10	{	{	PUNCT
ejpam-3071	238	11	n+	n+	X
ejpam-3071	238	12	(	(	PUNCT
ejpam-3071	238	13	l	l	NOUN
ejpam-3071	238	14	−	−	NOUN
ejpam-3071	238	15	1	1	NUM
ejpam-3071	238	16	)	)	PUNCT
ejpam-3071	238	17	(	(	PUNCT
ejpam-3071	238	18	n−	n−	NOUN
ejpam-3071	238	19	2	2	NUM
ejpam-3071	238	20	[	[	X
ejpam-3071	238	21	n	n	X
ejpam-3071	238	22	2	2	NUM
ejpam-3071	238	23	]	]	PUNCT
ejpam-3071	238	24	−	−	PROPN
ejpam-3071	238	25	4	4	NUM
ejpam-3071	238	26	)	)	PUNCT
ejpam-3071	238	27	}	}	PUNCT
ejpam-3071	238	28	≤	≤	NUM
ejpam-3071	238	29	1	1	NUM
ejpam-3071	238	30	,	,	PUNCT
ejpam-3071	238	31	(	(	PUNCT
ejpam-3071	238	32	28	28	NUM
ejpam-3071	238	33	)	)	PUNCT
ejpam-3071	238	34	when	when	SCONJ
ejpam-3071	238	35	l	l	PROPN
ejpam-3071	238	36	≥	≥	NOUN
ejpam-3071	238	37	2	2	NUM
ejpam-3071	238	38	,	,	PUNCT
ejpam-3071	238	39	the	the	DET
ejpam-3071	238	40	latter	latter	ADJ
ejpam-3071	238	41	part	part	NOUN
ejpam-3071	238	42	of	of	ADP
ejpam-3071	238	43	(	(	PUNCT
ejpam-3071	238	44	28	28	NUM
ejpam-3071	238	45	)	)	PUNCT
ejpam-3071	238	46	becomes	become	VERB
ejpam-3071	238	47	a	a	DET
ejpam-3071	238	48	strict	strict	ADJ
ejpam-3071	238	49	inequality	inequality	NOUN
ejpam-3071	238	50	because	because	SCONJ
ejpam-3071	238	51	n−	n−	PROPN
ejpam-3071	238	52	2	2	NUM
ejpam-3071	238	53	[	[	PUNCT
ejpam-3071	238	54	n	n	NOUN
ejpam-3071	238	55	2	2	NUM
ejpam-3071	238	56	]	]	PUNCT
ejpam-3071	238	57	−	−	PROPN
ejpam-3071	238	58	4	4	NUM
ejpam-3071	238	59	<	<	X
ejpam-3071	238	60	0	0	NUM
ejpam-3071	238	61	.	.	PUNCT
ejpam-3071	239	1	now	now	ADV
ejpam-3071	239	2	,	,	PUNCT
ejpam-3071	239	3	using	use	VERB
ejpam-3071	239	4	estimates	estimate	NOUN
ejpam-3071	239	5	(	(	PUNCT
ejpam-3071	239	6	24	24	NUM
ejpam-3071	239	7	)	)	PUNCT
ejpam-3071	239	8	,	,	PUNCT
ejpam-3071	239	9	(	(	PUNCT
ejpam-3071	239	10	21	21	NUM
ejpam-3071	239	11	)	)	PUNCT
ejpam-3071	239	12	and	and	CCONJ
ejpam-3071	239	13	(	(	PUNCT
ejpam-3071	239	14	26	26	NUM
ejpam-3071	239	15	)	)	PUNCT
ejpam-3071	239	16	,	,	PUNCT
ejpam-3071	239	17	from	from	ADP
ejpam-3071	239	18	(	(	PUNCT
ejpam-3071	239	19	19	19	NUM
ejpam-3071	239	20	)	)	PUNCT
ejpam-3071	239	21	we	we	PRON
ejpam-3071	239	22	obtain	obtain	VERB
ejpam-3071	239	23	that	that	DET
ejpam-3071	239	24	∀u	∀u	NOUN
ejpam-3071	239	25	∈	∈	PROPN
ejpam-3071	239	26	kr	kr	NOUN
ejpam-3071	239	27	:	:	PUNCT
ejpam-3071	240	1	‖q(u)‖et	‖q(u)‖et	PROPN
ejpam-3071	240	2	≤	≤	PROPN
ejpam-3071	240	3	‖w‖et	‖w‖et	PROPN
ejpam-3071	241	1	+	+	CCONJ
ejpam-3071	241	2	√	√	PROPN
ejpam-3071	241	3	t	t	PROPN
ejpam-3071	241	4	·	·	PUNCT
ejpam-3071	241	5	√	√	ADP
ejpam-3071	241	6	2	2	NUM
ejpam-3071	241	7	t	t	NOUN
ejpam-3071	241	8	+	+	CCONJ
ejpam-3071	241	9	1	1	NUM
ejpam-3071	241	10	·	·	SYM
ejpam-3071	241	11	cr	cr	NOUN
ejpam-3071	241	12	,	,	PUNCT
ejpam-3071	241	13	(	(	PUNCT
ejpam-3071	241	14	29	29	NUM
ejpam-3071	241	15	)	)	PUNCT
ejpam-3071	241	16	where	where	SCONJ
ejpam-3071	241	17	cr	cr	X
ejpam-3071	241	18	>	>	X
ejpam-3071	241	19	0	0	NUM
ejpam-3071	241	20	is	be	AUX
ejpam-3071	241	21	some	some	DET
ejpam-3071	241	22	number	number	NOUN
ejpam-3071	241	23	depending	depend	VERB
ejpam-3071	241	24	on	on	ADP
ejpam-3071	241	25	r.	r.	PROPN
ejpam-3071	241	26	next	next	ADV
ejpam-3071	241	27	,	,	PUNCT
ejpam-3071	241	28	similar	similar	ADJ
ejpam-3071	241	29	to	to	ADP
ejpam-3071	241	30	(	(	PUNCT
ejpam-3071	241	31	19	19	NUM
ejpam-3071	241	32	)	)	PUNCT
ejpam-3071	241	33	,	,	PUNCT
ejpam-3071	241	34	∀u	∀u	NOUN
ejpam-3071	241	35	,	,	PUNCT
ejpam-3071	241	36	ũ	ũ	PROPN
ejpam-3071	241	37	∈	∈	PROPN
ejpam-3071	241	38	kr	kr	PROPN
ejpam-3071	241	39	we	we	PRON
ejpam-3071	241	40	have	have	VERB
ejpam-3071	241	41	:	:	PUNCT
ejpam-3071	241	42	‖q(u)−q(ũ)‖et	‖q(u)−q(ũ)‖et	VERB
ejpam-3071	241	43	≤	≤	PUNCT
ejpam-3071	242	1	c	c	PROPN
ejpam-3071	242	2	·	·	PUNCT
ejpam-3071	242	3	√	√	ADP
ejpam-3071	242	4	2	2	NUM
ejpam-3071	242	5	t	t	NOUN
ejpam-3071	242	6	+	+	CCONJ
ejpam-3071	242	7	1	1	NUM
ejpam-3071	242	8	·	·	PUNCT
ejpam-3071	242	9	‖=(u(t	‖=(u(t	NUM
ejpam-3071	242	10	,	,	PUNCT
ejpam-3071	242	11	x))−=(ũ(t	x))−=(ũ(t	PROPN
ejpam-3071	242	12	,	,	PUNCT
ejpam-3071	242	13	x))‖	x))‖	PROPN
ejpam-3071	243	1	w	w	NOUN
ejpam-3071	243	2	0	0	NUM
ejpam-3071	243	3	,	,	PUNCT
ejpam-3071	243	4	[	[	PUNCT
ejpam-3071	243	5	n	n	NOUN
ejpam-3071	243	6	2	2	NUM
ejpam-3071	243	7	]	]	PUNCT
ejpam-3071	243	8	+2	+2	PROPN
ejpam-3071	243	9	t	t	PROPN
ejpam-3071	243	10	,	,	PUNCT
ejpam-3071	243	11	x,2	x,2	NUM
ejpam-3071	243	12	(	(	PUNCT
ejpam-3071	243	13	qt	qt	NOUN
ejpam-3071	243	14	)	)	PUNCT
ejpam-3071	243	15	.	.	PUNCT
ejpam-3071	244	1	(	(	PUNCT
ejpam-3071	244	2	30	30	NUM
ejpam-3071	244	3	)	)	PUNCT
ejpam-3071	244	4	s.	s.	PROPN
ejpam-3071	244	5	j.aliyev	j.aliyev	PROPN
ejpam-3071	244	6	,	,	PUNCT
ejpam-3071	244	7	a.	a.	PROPN
ejpam-3071	244	8	g.aliyeva	g.aliyeva	PROPN
ejpam-3071	244	9	/	/	SYM
ejpam-3071	244	10	eur	eur	PROPN
ejpam-3071	244	11	.	.	PUNCT
ejpam-3071	245	1	j.	j.	PROPN
ejpam-3071	245	2	pure	pure	PROPN
ejpam-3071	245	3	appl	appl	PROPN
ejpam-3071	245	4	.	.	PROPN
ejpam-3071	245	5	math	math	PROPN
ejpam-3071	245	6	,	,	PUNCT
ejpam-3071	245	7	10	10	NUM
ejpam-3071	245	8	(	(	PUNCT
ejpam-3071	245	9	5	5	NUM
ejpam-3071	245	10	)	)	PUNCT
ejpam-3071	245	11	(	(	PUNCT
ejpam-3071	245	12	2017	2017	NUM
ejpam-3071	245	13	)	)	PUNCT
ejpam-3071	245	14	,	,	PUNCT
ejpam-3071	245	15	1078	1078	NUM
ejpam-3071	245	16	-	-	SYM
ejpam-3071	245	17	1091	1091	NUM
ejpam-3071	245	18	1088	1088	NUM
ejpam-3071	245	19	due	due	ADP
ejpam-3071	245	20	to	to	ADP
ejpam-3071	245	21	estimates	estimate	NOUN
ejpam-3071	245	22	(	(	PUNCT
ejpam-3071	245	23	21	21	NUM
ejpam-3071	245	24	)	)	PUNCT
ejpam-3071	245	25	and	and	CCONJ
ejpam-3071	245	26	condition	condition	NOUN
ejpam-3071	245	27	4	4	NUM
ejpam-3071	245	28	of	of	ADP
ejpam-3071	245	29	this	this	DET
ejpam-3071	245	30	theorem	theorem	VERB
ejpam-3071	245	31	,	,	PUNCT
ejpam-3071	245	32	∀u	∀u	NOUN
ejpam-3071	245	33	,	,	PUNCT
ejpam-3071	245	34	ũ	ũ	PROPN
ejpam-3071	245	35	∈	∈	PROPN
ejpam-3071	245	36	kr:∥∥∂sf	kr:∥∥∂sf	NOUN
ejpam-3071	245	37	(	(	PUNCT
ejpam-3071	245	38	t	t	PROPN
ejpam-3071	245	39	,	,	PUNCT
ejpam-3071	245	40	x	x	NOUN
ejpam-3071	245	41	,	,	PUNCT
ejpam-3071	245	42	u(t	u(t	NOUN
ejpam-3071	245	43	,	,	PUNCT
ejpam-3071	245	44	x)ut(t	x)ut(t	PROPN
ejpam-3071	245	45	,	,	PUNCT
ejpam-3071	245	46	x	x	NOUN
ejpam-3071	245	47	)	)	PUNCT
ejpam-3071	245	48	,	,	PUNCT
ejpam-3071	245	49	ux(t	ux(t	PRON
ejpam-3071	245	50	,	,	PUNCT
ejpam-3071	245	51	x	x	NOUN
ejpam-3071	245	52	)	)	PUNCT
ejpam-3071	245	53	,	,	PUNCT
ejpam-3071	245	54	utx(t	utx(t	PROPN
ejpam-3071	245	55	,	,	PUNCT
ejpam-3071	245	56	x	x	NOUN
ejpam-3071	245	57	)	)	PUNCT
ejpam-3071	245	58	,	,	PUNCT
ejpam-3071	245	59	uxx(t	uxx(t	PROPN
ejpam-3071	245	60	,	,	PUNCT
ejpam-3071	245	61	x	x	NOUN
ejpam-3071	245	62	)	)	PUNCT
ejpam-3071	245	63	/	/	SYM
ejpam-3071	246	1	∂xα∂uγ11	∂xα∂uγ11	INTJ
ejpam-3071	246	2	...	...	PUNCT
ejpam-3071	247	1	∂u	∂u	NUM
ejpam-3071	247	2	γn	γn	ADP
ejpam-3071	247	3	n	n	ADV
ejpam-3071	247	4	−∂sf	−∂sf	NOUN
ejpam-3071	247	5	(	(	PUNCT
ejpam-3071	247	6	t	t	PROPN
ejpam-3071	247	7	,	,	PUNCT
ejpam-3071	247	8	x	x	X
ejpam-3071	247	9	,	,	PUNCT
ejpam-3071	247	10	ũ(t	ũ(t	PROPN
ejpam-3071	247	11	,	,	PUNCT
ejpam-3071	247	12	x)ũt(t	x)ũt(t	PROPN
ejpam-3071	247	13	,	,	PUNCT
ejpam-3071	247	14	x	x	NOUN
ejpam-3071	247	15	)	)	PUNCT
ejpam-3071	247	16	,	,	PUNCT
ejpam-3071	247	17	ũx(t	ũx(t	PRON
ejpam-3071	247	18	,	,	PUNCT
ejpam-3071	247	19	x	x	NOUN
ejpam-3071	247	20	)	)	PUNCT
ejpam-3071	247	21	,	,	PUNCT
ejpam-3071	247	22	ũtx(t	ũtx(t	PROPN
ejpam-3071	247	23	,	,	PUNCT
ejpam-3071	247	24	x	x	NOUN
ejpam-3071	247	25	)	)	PUNCT
ejpam-3071	247	26	,	,	PUNCT
ejpam-3071	247	27	ũxx(t	ũxx(t	PROPN
ejpam-3071	247	28	,	,	PUNCT
ejpam-3071	247	29	x	x	NOUN
ejpam-3071	247	30	)	)	PUNCT
ejpam-3071	247	31	/	/	SYM
ejpam-3071	247	32	∂xα∂uγ11	∂xα∂uγ11	INTJ
ejpam-3071	247	33	...	...	PUNCT
ejpam-3071	248	1	∂u	∂u	NUM
ejpam-3071	248	2	γn	γn	ADP
ejpam-3071	248	3	n	n	CCONJ
ejpam-3071	248	4	∥∥	∥∥	X
ejpam-3071	248	5	c(q̄t	c(q̄t	PROPN
ejpam-3071	248	6	)	)	PUNCT
ejpam-3071	248	7	≤	≤	NOUN
ejpam-3071	249	1	ãr	ãr	PRON
ejpam-3071	249	2	·	·	PUNCT
ejpam-3071	250	1	‖u−	‖u−	INTJ
ejpam-3071	250	2	ũ‖et	ũ‖et	NOUN
ejpam-3071	250	3	(	(	PUNCT
ejpam-3071	250	4	0	0	NUM
ejpam-3071	250	5	≤	≤	NUM
ejpam-3071	250	6	|α|+	|α|+	PROPN
ejpam-3071	250	7	n∑	n∑	PROPN
ejpam-3071	250	8	i=1	i=1	PROPN
ejpam-3071	250	9	γi	γi	X
ejpam-3071	250	10	=	=	SYM
ejpam-3071	250	11	s	s	PART
ejpam-3071	250	12	≤	≤	X
ejpam-3071	251	1	[	[	X
ejpam-3071	251	2	n	n	X
ejpam-3071	251	3	2	2	NUM
ejpam-3071	251	4	]	]	PUNCT
ejpam-3071	252	1	+	+	CCONJ
ejpam-3071	252	2	2	2	X
ejpam-3071	252	3	)	)	PUNCT
ejpam-3071	252	4	,	,	PUNCT
ejpam-3071	252	5	(	(	PUNCT
ejpam-3071	252	6	31	31	NUM
ejpam-3071	252	7	)	)	PUNCT
ejpam-3071	252	8	where	where	SCONJ
ejpam-3071	252	9	ãr	ãr	PRON
ejpam-3071	252	10	>	>	X
ejpam-3071	252	11	0	0	PUNCT
ejpam-3071	252	12	is	be	AUX
ejpam-3071	252	13	some	some	DET
ejpam-3071	252	14	constant	constant	ADJ
ejpam-3071	252	15	depending	depend	VERB
ejpam-3071	252	16	on	on	ADP
ejpam-3071	252	17	r.	r.	PROPN
ejpam-3071	252	18	next	next	ADV
ejpam-3071	252	19	,	,	PUNCT
ejpam-3071	252	20	using	use	VERB
ejpam-3071	252	21	estimate	estimate	NOUN
ejpam-3071	252	22	(	(	PUNCT
ejpam-3071	252	23	22	22	NUM
ejpam-3071	252	24	)	)	PUNCT
ejpam-3071	252	25	and	and	CCONJ
ejpam-3071	252	26	taking	take	VERB
ejpam-3071	252	27	(	(	PUNCT
ejpam-3071	252	28	23	23	NUM
ejpam-3071	252	29	)	)	PUNCT
ejpam-3071	252	30	into	into	ADP
ejpam-3071	252	31	account	account	NOUN
ejpam-3071	252	32	,	,	PUNCT
ejpam-3071	252	33	similar	similar	ADJ
ejpam-3071	252	34	to	to	ADP
ejpam-3071	252	35	(	(	PUNCT
ejpam-3071	252	36	26	26	NUM
ejpam-3071	252	37	)	)	PUNCT
ejpam-3071	252	38	we	we	PRON
ejpam-3071	252	39	have	have	VERB
ejpam-3071	252	40	for	for	ADP
ejpam-3071	252	41	every	every	DET
ejpam-3071	252	42	t	t	NOUN
ejpam-3071	252	43	∈	∈	PROPN
ejpam-3071	253	1	[	[	X
ejpam-3071	253	2	0	0	NUM
ejpam-3071	253	3	,	,	PUNCT
ejpam-3071	253	4	t	t	X
ejpam-3071	253	5	]	]	X
ejpam-3071	253	6	:	:	PUNCT
ejpam-3071	253	7	∥∥∥∥∥	∥∥∥∥∥	PROPN
ejpam-3071	253	8	l∏	l∏	PROPN
ejpam-3071	253	9	i=1	i=1	PROPN
ejpam-3071	253	10	dkil	dkil	PROPN
ejpam-3071	253	11	t	t	PROPN
ejpam-3071	253	12	dαilui(t	dαilui(t	PROPN
ejpam-3071	253	13	,	,	PUNCT
ejpam-3071	253	14	x	x	NOUN
ejpam-3071	253	15	)	)	PUNCT
ejpam-3071	253	16	∥∥∥∥∥	∥∥∥∥∥	PUNCT
ejpam-3071	253	17	l2(ω	l2(ω	NOUN
ejpam-3071	253	18	)	)	PUNCT
ejpam-3071	253	19	≤	≤	NOUN
ejpam-3071	254	1	l∏	l∏	PROPN
ejpam-3071	254	2	i=1	i=1	PROPN
ejpam-3071	255	1	∥∥∥dkil	∥∥∥dkil	NOUN
ejpam-3071	255	2	t	t	PROPN
ejpam-3071	255	3	dαilui(t	dαilui(t	PROPN
ejpam-3071	255	4	,	,	PUNCT
ejpam-3071	255	5	x	x	NOUN
ejpam-3071	255	6	)	)	PUNCT
ejpam-3071	255	7	∥∥∥	∥∥∥	PROPN
ejpam-3071	255	8	l2pi(ω	l2pi(ω	PROPN
ejpam-3071	255	9	)	)	PUNCT
ejpam-3071	255	10	≤	≤	PUNCT
ejpam-3071	256	1	c	c	NOUN
ejpam-3071	256	2	·	·	PUNCT
ejpam-3071	257	1	l∏	l∏	ADJ
ejpam-3071	257	2	i=1	i=1	PROPN
ejpam-3071	258	1	‖ui‖et	‖ui‖et	PROPN
ejpam-3071	258	2	≤	≤	PUNCT
ejpam-3071	259	1	c	c	X
ejpam-3071	259	2	·	·	PUNCT
ejpam-3071	260	1	l∏	l∏	NOUN
ejpam-3071	260	2	i=1	i=1	PROPN
ejpam-3071	261	1	‖ui‖et	‖ui‖et	PROPN
ejpam-3071	261	2	≤	≤	PUNCT
ejpam-3071	262	1	c	c	NOUN
ejpam-3071	262	2	·	·	PUNCT
ejpam-3071	262	3	r	r	X
ejpam-3071	262	4	l−1	l−1	PROPN
ejpam-3071	262	5	·	·	PUNCT
ejpam-3071	262	6	‖u−	‖u−	NUM
ejpam-3071	262	7	ũ‖et	ũ‖et	NOUN
ejpam-3071	262	8	,	,	PUNCT
ejpam-3071	262	9	(	(	PUNCT
ejpam-3071	262	10	32	32	NUM
ejpam-3071	262	11	)	)	PUNCT
ejpam-3071	262	12	where	where	SCONJ
ejpam-3071	262	13	the	the	DET
ejpam-3071	262	14	conditions	condition	NOUN
ejpam-3071	262	15	(	(	PUNCT
ejpam-3071	262	16	27	27	NUM
ejpam-3071	262	17	)	)	PUNCT
ejpam-3071	262	18	are	be	AUX
ejpam-3071	262	19	satisfied	satisfied	ADJ
ejpam-3071	262	20	,	,	PUNCT
ejpam-3071	262	21	one	one	NUM
ejpam-3071	262	22	of	of	ADP
ejpam-3071	262	23	functions	function	NOUN
ejpam-3071	262	24	ui	ui	NOUN
ejpam-3071	262	25	(	(	PUNCT
ejpam-3071	262	26	i	i	NOUN
ejpam-3071	262	27	=	=	NOUN
ejpam-3071	262	28	1	1	NUM
ejpam-3071	262	29	,	,	PUNCT
ejpam-3071	262	30	2	2	NUM
ejpam-3071	262	31	,	,	PUNCT
ejpam-3071	262	32	...	...	PUNCT
ejpam-3071	262	33	,	,	PUNCT
ejpam-3071	262	34	l	l	NOUN
ejpam-3071	262	35	)	)	PUNCT
ejpam-3071	262	36	is	be	AUX
ejpam-3071	262	37	equal	equal	ADJ
ejpam-3071	262	38	to	to	ADP
ejpam-3071	262	39	u−	u−	PROPN
ejpam-3071	262	40	ũ	ũ	PROPN
ejpam-3071	262	41	while	while	SCONJ
ejpam-3071	262	42	the	the	DET
ejpam-3071	262	43	other	other	ADJ
ejpam-3071	262	44	ui	ui	PROPN
ejpam-3071	262	45	’s	’s	PART
ejpam-3071	262	46	are	be	AUX
ejpam-3071	262	47	equal	equal	ADJ
ejpam-3071	262	48	to	to	ADP
ejpam-3071	262	49	u	u	NOUN
ejpam-3071	262	50	and	and	CCONJ
ejpam-3071	262	51	ũ	ũ	PROPN
ejpam-3071	262	52	,	,	PUNCT
ejpam-3071	262	53	with	with	ADP
ejpam-3071	262	54	u	u	PROPN
ejpam-3071	262	55	,	,	PUNCT
ejpam-3071	262	56	ũ	ũ	PROPN
ejpam-3071	262	57	∈	∈	PROPN
ejpam-3071	262	58	kr	kr	PROPN
ejpam-3071	262	59	.	.	PUNCT
ejpam-3071	263	1	now	now	ADV
ejpam-3071	263	2	,	,	PUNCT
ejpam-3071	263	3	using	use	VERB
ejpam-3071	263	4	estimates	estimate	NOUN
ejpam-3071	263	5	(	(	PUNCT
ejpam-3071	263	6	31	31	NUM
ejpam-3071	263	7	)	)	PUNCT
ejpam-3071	263	8	,	,	PUNCT
ejpam-3071	263	9	(	(	PUNCT
ejpam-3071	263	10	21	21	NUM
ejpam-3071	263	11	)	)	PUNCT
ejpam-3071	263	12	and	and	CCONJ
ejpam-3071	263	13	(	(	PUNCT
ejpam-3071	263	14	32	32	NUM
ejpam-3071	263	15	)	)	PUNCT
ejpam-3071	263	16	(	(	PUNCT
ejpam-3071	263	17	in	in	ADP
ejpam-3071	263	18	(	(	PUNCT
ejpam-3071	263	19	21	21	NUM
ejpam-3071	263	20	)	)	PUNCT
ejpam-3071	263	21	u	u	NOUN
ejpam-3071	263	22	must	must	AUX
ejpam-3071	263	23	be	be	AUX
ejpam-3071	263	24	replaced	replace	VERB
ejpam-3071	263	25	by	by	ADP
ejpam-3071	263	26	u−	u−	PROPN
ejpam-3071	263	27	ũ	ũ	PROPN
ejpam-3071	263	28	)	)	PUNCT
ejpam-3071	263	29	,	,	PUNCT
ejpam-3071	263	30	from	from	ADP
ejpam-3071	263	31	(	(	PUNCT
ejpam-3071	263	32	30	30	NUM
ejpam-3071	263	33	)	)	PUNCT
ejpam-3071	263	34	we	we	PRON
ejpam-3071	263	35	obtain	obtain	VERB
ejpam-3071	263	36	that	that	DET
ejpam-3071	263	37	∀u	∀u	NOUN
ejpam-3071	263	38	,	,	PUNCT
ejpam-3071	263	39	ũ	ũ	PROPN
ejpam-3071	263	40	∈	∈	PROPN
ejpam-3071	263	41	kr	kr	PROPN
ejpam-3071	263	42	:	:	PUNCT
ejpam-3071	263	43	‖q(u)−q(ũ)‖et	‖q(u)−q(ũ)‖et	PROPN
ejpam-3071	263	44	≤	≤	NOUN
ejpam-3071	263	45	√	√	ADP
ejpam-3071	263	46	t	t	PROPN
ejpam-3071	263	47	·	·	PUNCT
ejpam-3071	263	48	√	√	ADP
ejpam-3071	263	49	2	2	NUM
ejpam-3071	263	50	t	t	NOUN
ejpam-3071	263	51	+	+	NOUN
ejpam-3071	263	52	1	1	NUM
ejpam-3071	263	53	·	·	PUNCT
ejpam-3071	263	54	c̃r	c̃r	X
ejpam-3071	263	55	·	·	PUNCT
ejpam-3071	264	1	‖u−	‖u−	INTJ
ejpam-3071	264	2	ũ‖et	ũ‖et	NOUN
ejpam-3071	264	3	,	,	PUNCT
ejpam-3071	264	4	(	(	PUNCT
ejpam-3071	264	5	33	33	NUM
ejpam-3071	264	6	)	)	PUNCT
ejpam-3071	264	7	where	where	SCONJ
ejpam-3071	264	8	c̃r	c̃r	X
ejpam-3071	264	9	>	>	X
ejpam-3071	264	10	0	0	NUM
ejpam-3071	264	11	is	be	AUX
ejpam-3071	264	12	some	some	DET
ejpam-3071	264	13	number	number	NOUN
ejpam-3071	264	14	depending	depend	VERB
ejpam-3071	264	15	on	on	ADP
ejpam-3071	264	16	r.	r.	PROPN
ejpam-3071	264	17	it	it	PRON
ejpam-3071	264	18	can	can	AUX
ejpam-3071	264	19	be	be	AUX
ejpam-3071	264	20	seen	see	VERB
ejpam-3071	264	21	from	from	ADP
ejpam-3071	264	22	the	the	DET
ejpam-3071	264	23	inequalities	inequality	NOUN
ejpam-3071	264	24	(	(	PUNCT
ejpam-3071	264	25	29	29	NUM
ejpam-3071	264	26	)	)	PUNCT
ejpam-3071	264	27	and	and	CCONJ
ejpam-3071	264	28	(	(	PUNCT
ejpam-3071	264	29	33	33	NUM
ejpam-3071	264	30	)	)	PUNCT
ejpam-3071	265	1	that	that	SCONJ
ejpam-3071	265	2	for	for	ADP
ejpam-3071	265	3	sufficiently	sufficiently	ADV
ejpam-3071	265	4	small	small	ADJ
ejpam-3071	265	5	values	value	NOUN
ejpam-3071	265	6	of	of	ADP
ejpam-3071	265	7	t	t	NOUN
ejpam-3071	266	1	the	the	DET
ejpam-3071	266	2	operator	operator	NOUN
ejpam-3071	266	3	q	q	PUNCT
ejpam-3071	266	4	is	be	AUX
ejpam-3071	266	5	a	a	DET
ejpam-3071	266	6	contraction	contraction	NOUN
ejpam-3071	266	7	in	in	ADP
ejpam-3071	266	8	sphere	sphere	NOUN
ejpam-3071	266	9	kr	kr	PROPN
ejpam-3071	266	10	,	,	PUNCT
ejpam-3071	266	11	and	and	CCONJ
ejpam-3071	266	12	,	,	PUNCT
ejpam-3071	266	13	consequently	consequently	ADV
ejpam-3071	266	14	,	,	PUNCT
ejpam-3071	266	15	has	have	VERB
ejpam-3071	266	16	a	a	DET
ejpam-3071	266	17	unique	unique	ADJ
ejpam-3071	266	18	fixed	fix	VERB
ejpam-3071	266	19	point	point	NOUN
ejpam-3071	266	20	u(t	u(t	NOUN
ejpam-3071	266	21	,	,	PUNCT
ejpam-3071	266	22	x	x	NOUN
ejpam-3071	266	23	)	)	PUNCT
ejpam-3071	266	24	in	in	ADP
ejpam-3071	266	25	kr	kr	PROPN
ejpam-3071	266	26	.	.	PUNCT
ejpam-3071	267	1	then	then	ADV
ejpam-3071	267	2	it	it	PRON
ejpam-3071	267	3	is	be	AUX
ejpam-3071	267	4	evident	evident	ADJ
ejpam-3071	267	5	that	that	SCONJ
ejpam-3071	267	6	u(t	u(t	NOUN
ejpam-3071	267	7	,	,	PUNCT
ejpam-3071	267	8	x	x	NOUN
ejpam-3071	267	9	)	)	PUNCT
ejpam-3071	267	10	=	=	SYM
ejpam-3071	267	11	q(u(t	q(u(t	NOUN
ejpam-3071	267	12	,	,	PUNCT
ejpam-3071	267	13	x	x	NOUN
ejpam-3071	267	14	)	)	PUNCT
ejpam-3071	267	15	)	)	PUNCT
ejpam-3071	268	1	=	=	SYM
ejpam-3071	268	2	w	w	PROPN
ejpam-3071	268	3	(	(	PUNCT
ejpam-3071	268	4	t	t	PROPN
ejpam-3071	268	5	,	,	PUNCT
ejpam-3071	268	6	x	x	NOUN
ejpam-3071	268	7	)	)	PUNCT
ejpam-3071	268	8	+	+	CCONJ
ejpam-3071	268	9	p(u(t	p(u(t	PROPN
ejpam-3071	268	10	,	,	PUNCT
ejpam-3071	268	11	x	x	NOUN
ejpam-3071	268	12	)	)	PUNCT
ejpam-3071	268	13	)	)	PUNCT
ejpam-3071	269	1	=	=	SYM
ejpam-3071	269	2	w	w	PROPN
ejpam-3071	269	3	(	(	PUNCT
ejpam-3071	269	4	t	t	PROPN
ejpam-3071	269	5	,	,	PUNCT
ejpam-3071	269	6	x	x	NOUN
ejpam-3071	269	7	)	)	PUNCT
ejpam-3071	269	8	+	+	CCONJ
ejpam-3071	269	9	∞∑	∞∑	NUM
ejpam-3071	269	10	s=1	s=1	NOUN
ejpam-3071	269	11	1	1	NUM
ejpam-3071	269	12	λ2	λ2	NOUN
ejpam-3071	269	13	s	s	VERB
ejpam-3071	269	14	t∫	t∫	NUM
ejpam-3071	269	15	0	0	NUM
ejpam-3071	269	16	∫	∫	PROPN
ejpam-3071	269	17	ω	ω	NUM
ejpam-3071	269	18	=(	=(	PROPN
ejpam-3071	269	19	u(t	u(t	PROPN
ejpam-3071	269	20	,	,	PUNCT
ejpam-3071	269	21	x	x	NOUN
ejpam-3071	269	22	)	)	PUNCT
ejpam-3071	269	23	)	)	PUNCT
ejpam-3071	269	24	·	·	PUNCT
ejpam-3071	270	1	[	[	PUNCT
ejpam-3071	270	2	1−	1−	NUM
ejpam-3071	270	3	e−λ2s(t−τ	e−λ2s(t−τ	NOUN
ejpam-3071	270	4	)	)	PUNCT
ejpam-3071	270	5	]	]	PUNCT
ejpam-3071	270	6	υs(x)dxdτ	υs(x)dxdτ	NOUN
ejpam-3071	270	7	·	·	PUNCT
ejpam-3071	270	8	υs(x	υs(x	NUM
ejpam-3071	270	9	)	)	PUNCT
ejpam-3071	270	10	.	.	PUNCT
ejpam-3071	271	1	thus	thus	ADV
ejpam-3071	271	2	,	,	PUNCT
ejpam-3071	271	3	fourier	fourier	ADJ
ejpam-3071	271	4	coefficients	coefficient	NOUN
ejpam-3071	271	5	us(t	us(t	NOUN
ejpam-3071	271	6	)	)	PUNCT
ejpam-3071	271	7	of	of	ADP
ejpam-3071	271	8	the	the	DET
ejpam-3071	271	9	found	find	VERB
ejpam-3071	271	10	function	function	NOUN
ejpam-3071	271	11	u(t	u(t	NOUN
ejpam-3071	271	12	,	,	PUNCT
ejpam-3071	271	13	x	x	X
ejpam-3071	271	14	)	)	PUNCT
ejpam-3071	271	15	∈	∈	PROPN
ejpam-3071	272	1	kr	kr	PROPN
ejpam-3071	272	2	⊂	⊂	PROPN
ejpam-3071	272	3	et	et	X
ejpam-3071	272	4	=	=	SYM
ejpam-3071	272	5	b	b	PROPN
ejpam-3071	273	1	[	[	X
ejpam-3071	273	2	n2	n2	NOUN
ejpam-3071	273	3	]	]	X
ejpam-3071	273	4	+4,[n2	+4,[n2	PROPN
ejpam-3071	273	5	]	]	SYM
ejpam-3071	273	6	+3	+3	PROPN
ejpam-3071	273	7	2,2,t	2,2,t	NUM
ejpam-3071	273	8	satisfy	satisfy	NOUN
ejpam-3071	273	9	system	system	NOUN
ejpam-3071	273	10	(	(	PUNCT
ejpam-3071	273	11	10	10	NUM
ejpam-3071	273	12	)	)	PUNCT
ejpam-3071	273	13	.	.	PUNCT
ejpam-3071	274	1	s.	s.	PROPN
ejpam-3071	274	2	j.aliyev	j.aliyev	PROPN
ejpam-3071	274	3	,	,	PUNCT
ejpam-3071	274	4	a.	a.	PROPN
ejpam-3071	274	5	g.aliyeva	g.aliyeva	PROPN
ejpam-3071	274	6	/	/	SYM
ejpam-3071	274	7	eur	eur	PROPN
ejpam-3071	274	8	.	.	PUNCT
ejpam-3071	275	1	j.	j.	PROPN
ejpam-3071	275	2	pure	pure	PROPN
ejpam-3071	275	3	appl	appl	PROPN
ejpam-3071	275	4	.	.	PROPN
ejpam-3071	275	5	math	math	PROPN
ejpam-3071	275	6	,	,	PUNCT
ejpam-3071	275	7	10	10	NUM
ejpam-3071	275	8	(	(	PUNCT
ejpam-3071	275	9	5	5	NUM
ejpam-3071	275	10	)	)	PUNCT
ejpam-3071	275	11	(	(	PUNCT
ejpam-3071	275	12	2017	2017	NUM
ejpam-3071	275	13	)	)	PUNCT
ejpam-3071	275	14	,	,	PUNCT
ejpam-3071	275	15	1078	1078	NUM
ejpam-3071	275	16	-	-	SYM
ejpam-3071	275	17	1091	1091	NUM
ejpam-3071	275	18	1089	1089	NUM
ejpam-3071	275	19	and	and	CCONJ
ejpam-3071	275	20	now	now	ADV
ejpam-3071	275	21	let	let	VERB
ejpam-3071	275	22	’s	’s	NOUN
ejpam-3071	275	23	show	show	VERB
ejpam-3071	275	24	that	that	SCONJ
ejpam-3071	275	25	the	the	DET
ejpam-3071	275	26	function	function	NOUN
ejpam-3071	275	27	u(t	u(t	NOUN
ejpam-3071	275	28	,	,	PUNCT
ejpam-3071	275	29	x	x	X
ejpam-3071	275	30	)	)	PUNCT
ejpam-3071	275	31	is	be	AUX
ejpam-3071	275	32	a	a	DET
ejpam-3071	275	33	classical	classical	ADJ
ejpam-3071	275	34	solution	solution	NOUN
ejpam-3071	275	35	of	of	ADP
ejpam-3071	275	36	problem	problem	NOUN
ejpam-3071	275	37	(	(	PUNCT
ejpam-3071	275	38	1)-(3	1)-(3	NUM
ejpam-3071	275	39	)	)	PUNCT
ejpam-3071	275	40	.	.	PUNCT
ejpam-3071	276	1	as	as	SCONJ
ejpam-3071	276	2	∞∑	∞∑	NUM
ejpam-3071	276	3	s=1	s=1	X
ejpam-3071	276	4	us(t)υs(x	us(t)υs(x	PROPN
ejpam-3071	276	5	)	)	PUNCT
ejpam-3071	276	6	=	=	SYM
ejpam-3071	276	7	u(t	u(t	NOUN
ejpam-3071	276	8	,	,	PUNCT
ejpam-3071	276	9	x	x	X
ejpam-3071	276	10	)	)	PUNCT
ejpam-3071	276	11	∈	∈	NOUN
ejpam-3071	276	12	b[n2	b[n2	NOUN
ejpam-3071	276	13	]	]	X
ejpam-3071	276	14	+4,[n2	+4,[n2	NOUN
ejpam-3071	276	15	]	]	X
ejpam-3071	276	16	+3	+3	PROPN
ejpam-3071	276	17	2,2,t	2,2,t	NUM
ejpam-3071	276	18	,	,	PUNCT
ejpam-3071	276	19	then	then	ADV
ejpam-3071	276	20	it	it	PRON
ejpam-3071	276	21	is	be	AUX
ejpam-3071	276	22	evident	evident	ADJ
ejpam-3071	276	23	that	that	SCONJ
ejpam-3071	276	24	the	the	DET
ejpam-3071	276	25	functions	function	NOUN
ejpam-3071	276	26	upq(t	upq(t	NOUN
ejpam-3071	276	27	,	,	PUNCT
ejpam-3071	276	28	x	x	NOUN
ejpam-3071	276	29	)	)	PUNCT
ejpam-3071	277	1	=	=	PUNCT
ejpam-3071	277	2	q∑	q∑	PROPN
ejpam-3071	277	3	s	s	PROPN
ejpam-3071	277	4	=	=	X
ejpam-3071	277	5	p	p	X
ejpam-3071	277	6	us(t)υs(x	us(t)υs(x	PROPN
ejpam-3071	277	7	)	)	PUNCT
ejpam-3071	277	8	(	(	PUNCT
ejpam-3071	277	9	1	1	NUM
ejpam-3071	277	10	≤	≤	NOUN
ejpam-3071	277	11	p	p	NOUN
ejpam-3071	277	12	≤	≤	PROPN
ejpam-3071	277	13	q	q	NOUN
ejpam-3071	277	14	)	)	PUNCT
ejpam-3071	277	15	satisfy	satisfy	VERB
ejpam-3071	277	16	conditions	condition	NOUN
ejpam-3071	277	17	of	of	ADP
ejpam-3071	277	18	lemma	lemma	PROPN
ejpam-3071	277	19	1	1	NUM
ejpam-3071	277	20	.	.	PUNCT
ejpam-3071	278	1	then	then	ADV
ejpam-3071	278	2	,	,	PUNCT
ejpam-3071	278	3	from	from	ADP
ejpam-3071	278	4	(	(	PUNCT
ejpam-3071	278	5	9	9	NUM
ejpam-3071	278	6	)	)	PUNCT
ejpam-3071	278	7	(	(	PUNCT
ejpam-3071	278	8	for	for	ADP
ejpam-3071	278	9	u	u	NOUN
ejpam-3071	278	10	=	=	PROPN
ejpam-3071	278	11	upq(t	upq(t	PROPN
ejpam-3071	278	12	,	,	PUNCT
ejpam-3071	278	13	x	x	NOUN
ejpam-3071	278	14	)	)	PUNCT
ejpam-3071	278	15	=	=	PUNCT
ejpam-3071	279	1	q∑	q∑	PROPN
ejpam-3071	279	2	s	s	PROPN
ejpam-3071	279	3	=	=	X
ejpam-3071	279	4	p	p	X
ejpam-3071	279	5	us(t)υs(x	us(t)υs(x	PROPN
ejpam-3071	279	6	)	)	PUNCT
ejpam-3071	279	7	and	and	CCONJ
ejpam-3071	279	8	k	k	PROPN
ejpam-3071	279	9	≤	≤	PROPN
ejpam-3071	279	10	[	[	PUNCT
ejpam-3071	279	11	n	n	NOUN
ejpam-3071	279	12	2	2	NUM
ejpam-3071	279	13	]	]	PUNCT
ejpam-3071	279	14	+	+	CCONJ
ejpam-3071	279	15	4	4	NUM
ejpam-3071	279	16	)	)	PUNCT
ejpam-3071	279	17	,	,	PUNCT
ejpam-3071	279	18	due	due	ADP
ejpam-3071	279	19	to	to	ADP
ejpam-3071	279	20	lemma	lemma	PROPN
ejpam-3071	279	21	1	1	NUM
ejpam-3071	279	22	(	(	PUNCT
ejpam-3071	279	23	for	for	ADP
ejpam-3071	279	24	m	m	NOUN
ejpam-3071	279	25	=	=	X
ejpam-3071	279	26	[	[	PUNCT
ejpam-3071	279	27	n	n	NOUN
ejpam-3071	279	28	2	2	NUM
ejpam-3071	279	29	]	]	PUNCT
ejpam-3071	279	30	+	+	CCONJ
ejpam-3071	279	31	4	4	NUM
ejpam-3071	279	32	,	,	PUNCT
ejpam-3071	279	33	υ	υ	NOUN
ejpam-3071	279	34	=	=	SYM
ejpam-3071	279	35	upq(t	upq(t	PROPN
ejpam-3071	279	36	,	,	PUNCT
ejpam-3071	279	37	x	x	NOUN
ejpam-3071	279	38	)	)	PUNCT
ejpam-3071	279	39	)	)	PUNCT
ejpam-3071	280	1	,	,	PUNCT
ejpam-3071	280	2	we	we	PRON
ejpam-3071	280	3	obtain	obtain	VERB
ejpam-3071	280	4	∀t	∀t	PROPN
ejpam-3071	280	5	∈	∈	NOUN
ejpam-3071	281	1	[	[	X
ejpam-3071	281	2	0	0	NUM
ejpam-3071	281	3	,	,	PUNCT
ejpam-3071	281	4	t	t	X
ejpam-3071	281	5	]	]	PUNCT
ejpam-3071	281	6	:	:	PUNCT
ejpam-3071	281	7	‖upq(t	‖upq(t	NOUN
ejpam-3071	281	8	,	,	PUNCT
ejpam-3071	281	9	x)‖2	x)‖2	NOUN
ejpam-3071	281	10	w	w	PROPN
ejpam-3071	281	11	[	[	PUNCT
ejpam-3071	281	12	n	n	NOUN
ejpam-3071	281	13	2	2	NUM
ejpam-3071	281	14	]	]	PUNCT
ejpam-3071	281	15	+4	+4	NUM
ejpam-3071	281	16	2	2	NUM
ejpam-3071	281	17	(	(	PUNCT
ejpam-3071	281	18	ω	ω	NOUN
ejpam-3071	281	19	)	)	PUNCT
ejpam-3071	281	20	≤	≤	PUNCT
ejpam-3071	281	21	c	c	X
ejpam-3071	281	22	·	·	PUNCT
ejpam-3071	281	23	q∑	q∑	PROPN
ejpam-3071	282	1	s	s	PROPN
ejpam-3071	282	2	=	=	X
ejpam-3071	282	3	p	p	X
ejpam-3071	282	4	[	[	PUNCT
ejpam-3071	282	5	λ	λ	X
ejpam-3071	282	6	[	[	X
ejpam-3071	282	7	n2	n2	NOUN
ejpam-3071	282	8	]	]	X
ejpam-3071	282	9	+4	+4	PROPN
ejpam-3071	282	10	s	s	PART
ejpam-3071	282	11	us(t	us(t	NOUN
ejpam-3071	282	12	)	)	PUNCT
ejpam-3071	282	13	]	]	PUNCT
ejpam-3071	282	14	2	2	NUM
ejpam-3071	282	15	≤	≤	NUM
ejpam-3071	282	16	c	c	X
ejpam-3071	282	17	·	·	PUNCT
ejpam-3071	282	18	q∑	q∑	PROPN
ejpam-3071	283	1	s	s	PROPN
ejpam-3071	283	2	=	=	X
ejpam-3071	283	3	p	p	X
ejpam-3071	283	4	(	(	PUNCT
ejpam-3071	283	5	λ	λ	X
ejpam-3071	283	6	[	[	X
ejpam-3071	283	7	n2	n2	NOUN
ejpam-3071	283	8	]	]	X
ejpam-3071	283	9	+4	+4	PROPN
ejpam-3071	283	10	s	s	PART
ejpam-3071	283	11	max	max	PROPN
ejpam-3071	283	12	0≤t≤t	0≤t≤t	NUM
ejpam-3071	283	13	|us(t)|	|us(t)|	ADJ
ejpam-3071	283	14	)	)	PUNCT
ejpam-3071	283	15	2	2	NUM
ejpam-3071	283	16	,	,	PUNCT
ejpam-3071	283	17	(	(	PUNCT
ejpam-3071	283	18	34	34	NUM
ejpam-3071	283	19	)	)	PUNCT
ejpam-3071	283	20	where	where	SCONJ
ejpam-3071	283	21	c	c	X
ejpam-3071	283	22	>	>	X
ejpam-3071	283	23	0	0	NUM
ejpam-3071	283	24	is	be	AUX
ejpam-3071	283	25	some	some	DET
ejpam-3071	283	26	constant	constant	ADJ
ejpam-3071	283	27	.	.	PUNCT
ejpam-3071	284	1	from	from	ADP
ejpam-3071	284	2	(	(	PUNCT
ejpam-3071	284	3	34	34	NUM
ejpam-3071	284	4	)	)	PUNCT
ejpam-3071	284	5	,	,	PUNCT
ejpam-3071	284	6	due	due	ADP
ejpam-3071	284	7	to	to	ADP
ejpam-3071	284	8	convergence	convergence	NOUN
ejpam-3071	284	9	of	of	ADP
ejpam-3071	284	10	number	number	NOUN
ejpam-3071	284	11	series	series	NOUN
ejpam-3071	284	12	∞∑	∞∑	PROPN
ejpam-3071	284	13	s=1	s=1	X
ejpam-3071	284	14	(	(	PUNCT
ejpam-3071	284	15	λ	λ	X
ejpam-3071	284	16	[	[	X
ejpam-3071	284	17	n2	n2	NOUN
ejpam-3071	284	18	]	]	X
ejpam-3071	284	19	+4	+4	PROPN
ejpam-3071	284	20	s	s	PART
ejpam-3071	284	21	max	max	PROPN
ejpam-3071	284	22	0≤t≤t	0≤t≤t	NUM
ejpam-3071	284	23	|us(t)|	|us(t)|	ADJ
ejpam-3071	284	24	)	)	PUNCT
ejpam-3071	284	25	2	2	NUM
ejpam-3071	285	1	it	it	PRON
ejpam-3071	285	2	follows	follow	VERB
ejpam-3071	285	3	that	that	SCONJ
ejpam-3071	285	4	‖upq(t	‖upq(t	NOUN
ejpam-3071	285	5	,	,	PUNCT
ejpam-3071	285	6	x)‖	x)‖	PROPN
ejpam-3071	286	1	w	w	PROPN
ejpam-3071	287	1	[	[	PUNCT
ejpam-3071	287	2	n	n	NOUN
ejpam-3071	287	3	2	2	NUM
ejpam-3071	287	4	]	]	PUNCT
ejpam-3071	287	5	+4	+4	NUM
ejpam-3071	287	6	2	2	NUM
ejpam-3071	287	7	(	(	PUNCT
ejpam-3071	287	8	ω	ω	NOUN
ejpam-3071	287	9	)	)	PUNCT
ejpam-3071	287	10	→	→	SYM
ejpam-3071	287	11	0	0	NUM
ejpam-3071	287	12	uniformly	uniformly	ADV
ejpam-3071	287	13	with	with	ADP
ejpam-3071	287	14	regard	regard	NOUN
ejpam-3071	287	15	to	to	ADP
ejpam-3071	287	16	t	t	PROPN
ejpam-3071	287	17	∈	∈	PROPN
ejpam-3071	288	1	[	[	X
ejpam-3071	288	2	0	0	NUM
ejpam-3071	288	3	,	,	PUNCT
ejpam-3071	288	4	t	t	NOUN
ejpam-3071	288	5	]	]	PUNCT
ejpam-3071	288	6	as	as	ADP
ejpam-3071	288	7	p	p	PROPN
ejpam-3071	288	8	,	,	PUNCT
ejpam-3071	288	9	q	q	X
ejpam-3071	288	10	→∞.	→∞.	X
ejpam-3071	288	11	similar	similar	ADJ
ejpam-3071	288	12	to	to	ADP
ejpam-3071	288	13	the	the	DET
ejpam-3071	288	14	foregoing	forego	VERB
ejpam-3071	288	15	discussions	discussion	NOUN
ejpam-3071	288	16	,	,	PUNCT
ejpam-3071	288	17	it	it	PRON
ejpam-3071	288	18	is	be	AUX
ejpam-3071	288	19	easy	easy	ADJ
ejpam-3071	288	20	to	to	PART
ejpam-3071	288	21	show	show	VERB
ejpam-3071	288	22	that	that	SCONJ
ejpam-3071	288	23	∥∥∥∂upq(t	∥∥∥∂upq(t	NOUN
ejpam-3071	288	24	,	,	PUNCT
ejpam-3071	288	25	x	x	X
ejpam-3071	288	26	)	)	PUNCT
ejpam-3071	289	1	∂t	∂t	PROPN
ejpam-3071	289	2	∥∥∥	∥∥∥	PROPN
ejpam-3071	289	3	w	w	PROPN
ejpam-3071	289	4	[	[	PUNCT
ejpam-3071	289	5	n	n	NOUN
ejpam-3071	289	6	2	2	NUM
ejpam-3071	289	7	]	]	PUNCT
ejpam-3071	289	8	+3	+3	PROPN
ejpam-3071	289	9	2	2	NUM
ejpam-3071	289	10	(	(	PUNCT
ejpam-3071	289	11	ω	ω	NOUN
ejpam-3071	289	12	)	)	PUNCT
ejpam-3071	289	13	→	→	SYM
ejpam-3071	289	14	0	0	NUM
ejpam-3071	289	15	uniformly	uniformly	ADV
ejpam-3071	289	16	with	with	ADP
ejpam-3071	289	17	regard	regard	NOUN
ejpam-3071	289	18	to	to	ADP
ejpam-3071	289	19	t	t	PROPN
ejpam-3071	289	20	∈	∈	PROPN
ejpam-3071	290	1	[	[	X
ejpam-3071	290	2	0	0	NUM
ejpam-3071	290	3	,	,	PUNCT
ejpam-3071	290	4	t	t	NOUN
ejpam-3071	290	5	]	]	PUNCT
ejpam-3071	290	6	as	as	ADP
ejpam-3071	290	7	p	p	PROPN
ejpam-3071	290	8	,	,	PUNCT
ejpam-3071	290	9	q	q	PROPN
ejpam-3071	290	10	→∞	→∞	NOUN
ejpam-3071	290	11	,	,	PUNCT
ejpam-3071	290	12	because	because	SCONJ
ejpam-3071	290	13	numerical	numerical	ADJ
ejpam-3071	290	14	series	series	PROPN
ejpam-3071	290	15	∞∑	∞∑	PROPN
ejpam-3071	290	16	s=1	s=1	X
ejpam-3071	290	17	(	(	PUNCT
ejpam-3071	290	18	λ	λ	X
ejpam-3071	290	19	[	[	X
ejpam-3071	290	20	n2	n2	NOUN
ejpam-3071	290	21	]	]	X
ejpam-3071	290	22	+3	+3	PROPN
ejpam-3071	290	23	s	s	PART
ejpam-3071	290	24	max	max	PROPN
ejpam-3071	290	25	0≤t≤t	0≤t≤t	PROPN
ejpam-3071	290	26	∣∣u′s(t)∣∣)2	∣∣u′s(t)∣∣)2	X
ejpam-3071	290	27	is	be	AUX
ejpam-3071	290	28	convergent	convergent	ADJ
ejpam-3071	290	29	.	.	PUNCT
ejpam-3071	291	1	so	so	ADV
ejpam-3071	291	2	we	we	PRON
ejpam-3071	291	3	got	get	VERB
ejpam-3071	291	4	that	that	SCONJ
ejpam-3071	291	5	the	the	DET
ejpam-3071	291	6	series	series	NOUN
ejpam-3071	291	7	∞∑	∞∑	PROPN
ejpam-3071	291	8	s=1	s=1	X
ejpam-3071	291	9	us(t)υs(x	us(t)υs(x	PROPN
ejpam-3071	291	10	)	)	PUNCT
ejpam-3071	291	11	,	,	PUNCT
ejpam-3071	291	12	∞∑	∞∑	PROPN
ejpam-3071	291	13	s=1	s=1	X
ejpam-3071	291	14	u′s(t)υs(x	u′s(t)υs(x	PROPN
ejpam-3071	291	15	)	)	PUNCT
ejpam-3071	291	16	and	and	CCONJ
ejpam-3071	291	17	the	the	DET
ejpam-3071	291	18	ones	one	NOUN
ejpam-3071	291	19	obtained	obtain	VERB
ejpam-3071	291	20	from	from	ADP
ejpam-3071	291	21	them	they	PRON
ejpam-3071	291	22	by	by	ADP
ejpam-3071	291	23	differentiating	differentiate	VERB
ejpam-3071	291	24	them	they	PRON
ejpam-3071	291	25	with	with	ADP
ejpam-3071	291	26	regard	regard	NOUN
ejpam-3071	291	27	to	to	ADP
ejpam-3071	291	28	x1	x1	PROPN
ejpam-3071	291	29	,	,	PUNCT
ejpam-3071	291	30	...	...	PUNCT
ejpam-3071	291	31	,	,	PUNCT
ejpam-3071	291	32	xn	xn	PROPN
ejpam-3071	291	33	up	up	ADP
ejpam-3071	291	34	to	to	ADP
ejpam-3071	291	35	[	[	PUNCT
ejpam-3071	291	36	n	n	PRON
ejpam-3071	291	37	2	2	NUM
ejpam-3071	291	38	]	]	PUNCT
ejpam-3071	291	39	+	+	CCONJ
ejpam-3071	291	40	4	4	NUM
ejpam-3071	291	41	and	and	CCONJ
ejpam-3071	291	42	[	[	PUNCT
ejpam-3071	291	43	n	n	NOUN
ejpam-3071	291	44	2	2	NUM
ejpam-3071	291	45	]	]	PUNCT
ejpam-3071	291	46	+	+	CCONJ
ejpam-3071	291	47	3	3	NUM
ejpam-3071	291	48	times	time	NOUN
ejpam-3071	291	49	,	,	PUNCT
ejpam-3071	291	50	respectively	respectively	ADV
ejpam-3071	291	51	,	,	PUNCT
ejpam-3071	291	52	converge	converge	VERB
ejpam-3071	291	53	in	in	ADP
ejpam-3071	291	54	l2(ω	l2(ω	NOUN
ejpam-3071	291	55	)	)	PUNCT
ejpam-3071	291	56	uniformly	uniformly	ADV
ejpam-3071	291	57	with	with	ADP
ejpam-3071	291	58	regard	regard	NOUN
ejpam-3071	291	59	to	to	ADP
ejpam-3071	291	60	t	t	PROPN
ejpam-3071	291	61	∈	∈	PROPN
ejpam-3071	292	1	[	[	X
ejpam-3071	292	2	0	0	NUM
ejpam-3071	292	3	,	,	PUNCT
ejpam-3071	292	4	t	t	X
ejpam-3071	292	5	]	]	PUNCT
ejpam-3071	292	6	.	.	PUNCT
ejpam-3071	293	1	then	then	ADV
ejpam-3071	293	2	it	it	PRON
ejpam-3071	293	3	is	be	AUX
ejpam-3071	293	4	evident	evident	ADJ
ejpam-3071	293	5	that	that	SCONJ
ejpam-3071	293	6	u(t	u(t	NOUN
ejpam-3071	293	7	,	,	PUNCT
ejpam-3071	293	8	x	x	X
ejpam-3071	293	9	)	)	PUNCT
ejpam-3071	293	10	∈	∈	PROPN
ejpam-3071	293	11	c	c	NOUN
ejpam-3071	293	12	(	(	PUNCT
ejpam-3071	293	13	[	[	X
ejpam-3071	293	14	0	0	NUM
ejpam-3071	293	15	,	,	PUNCT
ejpam-3071	293	16	t	t	X
ejpam-3071	293	17	]	]	PUNCT
ejpam-3071	293	18	;	;	PUNCT
ejpam-3071	293	19	w	w	PROPN
ejpam-3071	293	20	[	[	X
ejpam-3071	293	21	n2	n2	NOUN
ejpam-3071	293	22	]	]	X
ejpam-3071	293	23	+4	+4	PROPN
ejpam-3071	293	24	2	2	NUM
ejpam-3071	293	25	(	(	PUNCT
ejpam-3071	293	26	ω	ω	NOUN
ejpam-3071	293	27	)	)	PUNCT
ejpam-3071	293	28	)	)	PUNCT
ejpam-3071	293	29	,	,	PUNCT
ejpam-3071	293	30	ut(t	ut(t	NOUN
ejpam-3071	293	31	,	,	PUNCT
ejpam-3071	293	32	x	x	X
ejpam-3071	293	33	)	)	PUNCT
ejpam-3071	293	34	∈	∈	PROPN
ejpam-3071	293	35	c	c	NOUN
ejpam-3071	293	36	(	(	PUNCT
ejpam-3071	293	37	[	[	X
ejpam-3071	293	38	0	0	NUM
ejpam-3071	293	39	,	,	PUNCT
ejpam-3071	293	40	t	t	X
ejpam-3071	293	41	]	]	PUNCT
ejpam-3071	293	42	;	;	PUNCT
ejpam-3071	293	43	w	w	PROPN
ejpam-3071	294	1	[	[	X
ejpam-3071	294	2	n2	n2	NOUN
ejpam-3071	294	3	]	]	X
ejpam-3071	294	4	+3	+3	PROPN
ejpam-3071	294	5	2	2	NUM
ejpam-3071	294	6	(	(	PUNCT
ejpam-3071	294	7	ω	ω	NOUN
ejpam-3071	294	8	)	)	PUNCT
ejpam-3071	294	9	)	)	PUNCT
ejpam-3071	294	10	.	.	PUNCT
ejpam-3071	295	1	(	(	PUNCT
ejpam-3071	295	2	35	35	NUM
ejpam-3071	295	3	)	)	PUNCT
ejpam-3071	295	4	from	from	ADP
ejpam-3071	295	5	(	(	PUNCT
ejpam-3071	295	6	35	35	NUM
ejpam-3071	295	7	)	)	PUNCT
ejpam-3071	295	8	,	,	PUNCT
ejpam-3071	295	9	due	due	ADP
ejpam-3071	295	10	to	to	ADP
ejpam-3071	295	11	s.l	s.l	PROPN
ejpam-3071	295	12	.	.	PROPN
ejpam-3071	295	13	sobolev	sobolev	PROPN
ejpam-3071	295	14	’s	’s	PART
ejpam-3071	295	15	imbedding	imbed	VERB
ejpam-3071	295	16	theorems	theorem	NOUN
ejpam-3071	295	17	,	,	PUNCT
ejpam-3071	295	18	we	we	PRON
ejpam-3071	295	19	obtain	obtain	VERB
ejpam-3071	295	20	that	that	SCONJ
ejpam-3071	295	21	each	each	PRON
ejpam-3071	295	22	of	of	ADP
ejpam-3071	295	23	the	the	DET
ejpam-3071	295	24	functions	function	NOUN
ejpam-3071	295	25	u(t	u(t	NOUN
ejpam-3071	295	26	,	,	PUNCT
ejpam-3071	295	27	x	x	NOUN
ejpam-3071	295	28	)	)	PUNCT
ejpam-3071	295	29	,	,	PUNCT
ejpam-3071	295	30	ut(t	ut(t	PROPN
ejpam-3071	295	31	,	,	PUNCT
ejpam-3071	295	32	x	x	NOUN
ejpam-3071	295	33	)	)	PUNCT
ejpam-3071	295	34	,	,	PUNCT
ejpam-3071	295	35	uxi(t	uxi(t	PROPN
ejpam-3071	295	36	,	,	PUNCT
ejpam-3071	295	37	x	x	X
ejpam-3071	295	38	)	)	PUNCT
ejpam-3071	295	39	(	(	PUNCT
ejpam-3071	295	40	i	i	NOUN
ejpam-3071	295	41	=	=	NOUN
ejpam-3071	295	42	1	1	NUM
ejpam-3071	295	43	,	,	PUNCT
ejpam-3071	295	44	2	2	NUM
ejpam-3071	295	45	,	,	PUNCT
ejpam-3071	295	46	...	...	PUNCT
ejpam-3071	295	47	n	n	CCONJ
ejpam-3071	295	48	)	)	PUNCT
ejpam-3071	295	49	,	,	PUNCT
ejpam-3071	295	50	ut	ut	PROPN
ejpam-3071	295	51	xi(t	xi(t	PROPN
ejpam-3071	295	52	,	,	PUNCT
ejpam-3071	295	53	x	x	X
ejpam-3071	295	54	)	)	PUNCT
ejpam-3071	295	55	(	(	PUNCT
ejpam-3071	295	56	i	i	NOUN
ejpam-3071	295	57	=	=	NOUN
ejpam-3071	295	58	1	1	NUM
ejpam-3071	295	59	,	,	PUNCT
ejpam-3071	295	60	2	2	NUM
ejpam-3071	295	61	,	,	PUNCT
ejpam-3071	295	62	...	...	PUNCT
ejpam-3071	295	63	n	n	CCONJ
ejpam-3071	295	64	)	)	PUNCT
ejpam-3071	295	65	,	,	PUNCT
ejpam-3071	295	66	uxixj	uxixj	PROPN
ejpam-3071	295	67	(	(	PUNCT
ejpam-3071	295	68	t	t	PROPN
ejpam-3071	295	69	,	,	PUNCT
ejpam-3071	295	70	x	x	NOUN
ejpam-3071	295	71	)	)	PUNCT
ejpam-3071	295	72	(	(	PUNCT
ejpam-3071	295	73	i	i	PROPN
ejpam-3071	295	74	,	,	PUNCT
ejpam-3071	295	75	j	j	PROPN
ejpam-3071	295	76	=	=	SYM
ejpam-3071	295	77	1	1	NUM
ejpam-3071	295	78	,	,	PUNCT
ejpam-3071	295	79	2	2	NUM
ejpam-3071	295	80	,	,	PUNCT
ejpam-3071	295	81	...	...	PUNCT
ejpam-3071	295	82	n	n	CCONJ
ejpam-3071	295	83	)	)	PUNCT
ejpam-3071	295	84	,	,	PUNCT
ejpam-3071	295	85	s.	s.	PROPN
ejpam-3071	295	86	j.aliyev	j.aliyev	PROPN
ejpam-3071	295	87	,	,	PUNCT
ejpam-3071	295	88	a.	a.	PROPN
ejpam-3071	295	89	g.aliyeva	g.aliyeva	PROPN
ejpam-3071	295	90	/	/	SYM
ejpam-3071	295	91	eur	eur	PROPN
ejpam-3071	295	92	.	.	PUNCT
ejpam-3071	296	1	j.	j.	PROPN
ejpam-3071	296	2	pure	pure	PROPN
ejpam-3071	296	3	appl	appl	PROPN
ejpam-3071	296	4	.	.	PROPN
ejpam-3071	296	5	math	math	PROPN
ejpam-3071	296	6	,	,	PUNCT
ejpam-3071	296	7	10	10	NUM
ejpam-3071	296	8	(	(	PUNCT
ejpam-3071	296	9	5	5	NUM
ejpam-3071	296	10	)	)	PUNCT
ejpam-3071	296	11	(	(	PUNCT
ejpam-3071	296	12	2017	2017	NUM
ejpam-3071	296	13	)	)	PUNCT
ejpam-3071	296	14	,	,	PUNCT
ejpam-3071	296	15	1078	1078	NUM
ejpam-3071	296	16	-	-	SYM
ejpam-3071	296	17	1091	1091	NUM
ejpam-3071	296	18	1090	1090	NUM
ejpam-3071	296	19	utxixj	utxixj	ADJ
ejpam-3071	296	20	(	(	PUNCT
ejpam-3071	296	21	t	t	PROPN
ejpam-3071	296	22	,	,	PUNCT
ejpam-3071	296	23	x	x	NOUN
ejpam-3071	296	24	)	)	PUNCT
ejpam-3071	296	25	(	(	PUNCT
ejpam-3071	296	26	i	i	PROPN
ejpam-3071	296	27	,	,	PUNCT
ejpam-3071	296	28	j	j	PROPN
ejpam-3071	296	29	=	=	SYM
ejpam-3071	296	30	1	1	NUM
ejpam-3071	296	31	,	,	PUNCT
ejpam-3071	296	32	2	2	NUM
ejpam-3071	296	33	,	,	PUNCT
ejpam-3071	296	34	...	...	PUNCT
ejpam-3071	296	35	n	n	CCONJ
ejpam-3071	296	36	)	)	PUNCT
ejpam-3071	296	37	,	,	PUNCT
ejpam-3071	296	38	uxixjxk(t	uxixjxk(t	NOUN
ejpam-3071	296	39	,	,	PUNCT
ejpam-3071	296	40	x	x	NOUN
ejpam-3071	296	41	)	)	PUNCT
ejpam-3071	296	42	(	(	PUNCT
ejpam-3071	296	43	i	i	PROPN
ejpam-3071	296	44	,	,	PUNCT
ejpam-3071	296	45	j	j	PROPN
ejpam-3071	296	46	,	,	PUNCT
ejpam-3071	296	47	k	k	PROPN
ejpam-3071	296	48	=	=	SYM
ejpam-3071	296	49	1	1	NUM
ejpam-3071	296	50	,	,	PUNCT
ejpam-3071	296	51	2	2	NUM
ejpam-3071	296	52	,	,	PUNCT
ejpam-3071	296	53	...	...	PUNCT
ejpam-3071	296	54	n	n	CCONJ
ejpam-3071	296	55	)	)	PUNCT
ejpam-3071	296	56	is	be	AUX
ejpam-3071	296	57	continuous	continuous	ADJ
ejpam-3071	296	58	in	in	ADP
ejpam-3071	296	59	the	the	DET
ejpam-3071	296	60	closed	closed	ADJ
ejpam-3071	296	61	domain	domain	NOUN
ejpam-3071	296	62	q̄t	q̄t	PROPN
ejpam-3071	296	63	.	.	PUNCT
ejpam-3071	297	1	it	it	PRON
ejpam-3071	297	2	is	be	AUX
ejpam-3071	297	3	easy	easy	ADJ
ejpam-3071	297	4	to	to	PART
ejpam-3071	297	5	show	show	VERB
ejpam-3071	297	6	that	that	SCONJ
ejpam-3071	297	7	for	for	ADP
ejpam-3071	297	8	each	each	DET
ejpam-3071	297	9	fixed	fix	VERB
ejpam-3071	297	10	t	t	PROPN
ejpam-3071	297	11	∈	∈	PROPN
ejpam-3071	298	1	[	[	X
ejpam-3071	298	2	0	0	NUM
ejpam-3071	298	3	,	,	PUNCT
ejpam-3071	298	4	t	t	NOUN
ejpam-3071	298	5	]	]	PUNCT
ejpam-3071	298	6	and	and	CCONJ
ejpam-3071	298	7	for	for	ADP
ejpam-3071	298	8	all	all	PRON
ejpam-3071	298	9	x	x	SYM
ejpam-3071	298	10	∈	∈	NOUN
ejpam-3071	298	11	ω̄	ω̄	ADP
ejpam-3071	298	12	:	:	PUNCT
ejpam-3071	298	13	=(	=(	NOUN
ejpam-3071	298	14	u(t	u(t	PROPN
ejpam-3071	298	15	,	,	PUNCT
ejpam-3071	298	16	x	x	NOUN
ejpam-3071	298	17	)	)	PUNCT
ejpam-3071	298	18	)	)	PUNCT
ejpam-3071	299	1	=	=	PUNCT
ejpam-3071	300	1	∞∑	∞∑	NUM
ejpam-3071	300	2	s=1	s=1	ADJ
ejpam-3071	300	3	∫	∫	NUM
ejpam-3071	300	4	ω	ω	NUM
ejpam-3071	300	5	=(	=(	NOUN
ejpam-3071	300	6	u(t	u(t	NOUN
ejpam-3071	300	7	,	,	PUNCT
ejpam-3071	300	8	x))υs(x)dx	x))υs(x)dx	NUM
ejpam-3071	300	9			PROPN
ejpam-3071	300	10	υs(x	υs(x	PUNCT
ejpam-3071	300	11	)	)	PUNCT
ejpam-3071	300	12	,	,	PUNCT
ejpam-3071	300	13	∂2u(t	∂2u(t	NUM
ejpam-3071	300	14	,	,	PUNCT
ejpam-3071	300	15	x	x	X
ejpam-3071	300	16	)	)	PUNCT
ejpam-3071	300	17	∂t2	∂t2	NOUN
ejpam-3071	300	18	−	−	PROPN
ejpam-3071	300	19	∂	∂	NOUN
ejpam-3071	300	20	∂t	∂t	PROPN
ejpam-3071	300	21	(	(	PUNCT
ejpam-3071	300	22	l(u(t	l(u(t	PROPN
ejpam-3071	300	23	,	,	PUNCT
ejpam-3071	300	24	x	x	NOUN
ejpam-3071	300	25	)	)	PUNCT
ejpam-3071	300	26	)	)	PUNCT
ejpam-3071	300	27	)	)	PUNCT
ejpam-3071	301	1	=	=	SYM
ejpam-3071	301	2	=(	=(	NOUN
ejpam-3071	301	3	u(t	u(t	NOUN
ejpam-3071	301	4	,	,	PUNCT
ejpam-3071	301	5	x	x	NOUN
ejpam-3071	301	6	)	)	PUNCT
ejpam-3071	301	7	)	)	PUNCT
ejpam-3071	301	8	.	.	PUNCT
ejpam-3071	302	1	(	(	PUNCT
ejpam-3071	302	2	36	36	NUM
ejpam-3071	302	3	)	)	PUNCT
ejpam-3071	302	4	from	from	ADP
ejpam-3071	302	5	(	(	PUNCT
ejpam-3071	302	6	36	36	NUM
ejpam-3071	302	7	)	)	PUNCT
ejpam-3071	302	8	,	,	PUNCT
ejpam-3071	302	9	it	it	PRON
ejpam-3071	302	10	follows	follow	VERB
ejpam-3071	302	11	that	that	SCONJ
ejpam-3071	302	12	utt(t	utt(t	PROPN
ejpam-3071	302	13	,	,	PUNCT
ejpam-3071	302	14	x	x	X
ejpam-3071	302	15	)	)	PUNCT
ejpam-3071	302	16	∈	∈	PROPN
ejpam-3071	302	17	c(q̄t	c(q̄t	PROPN
ejpam-3071	302	18	)	)	PUNCT
ejpam-3071	302	19	and	and	CCONJ
ejpam-3071	302	20	the	the	DET
ejpam-3071	302	21	function	function	NOUN
ejpam-3071	302	22	u(t	u(t	NOUN
ejpam-3071	302	23	,	,	PUNCT
ejpam-3071	302	24	x	x	X
ejpam-3071	302	25	)	)	PUNCT
ejpam-3071	302	26	satisfies	satisfy	VERB
ejpam-3071	302	27	the	the	DET
ejpam-3071	302	28	equation	equation	NOUN
ejpam-3071	302	29	(	(	PUNCT
ejpam-3071	302	30	1	1	NUM
ejpam-3071	302	31	)	)	PUNCT
ejpam-3071	302	32	on	on	ADP
ejpam-3071	302	33	the	the	DET
ejpam-3071	302	34	closed	closed	ADJ
ejpam-3071	302	35	domain	domain	NOUN
ejpam-3071	302	36	q̄t	q̄t	PROPN
ejpam-3071	302	37	,	,	PUNCT
ejpam-3071	302	38	initial	initial	ADJ
ejpam-3071	302	39	conditions	condition	NOUN
ejpam-3071	302	40	(	(	PUNCT
ejpam-3071	302	41	2	2	NUM
ejpam-3071	302	42	)	)	PUNCT
ejpam-3071	302	43	on	on	ADP
ejpam-3071	302	44	ω̄	ω̄	ADP
ejpam-3071	302	45	and	and	CCONJ
ejpam-3071	302	46	boundary	boundary	ADJ
ejpam-3071	302	47	condition	condition	NOUN
ejpam-3071	302	48	(	(	PUNCT
ejpam-3071	302	49	3	3	NUM
ejpam-3071	302	50	)	)	PUNCT
ejpam-3071	302	51	in	in	ADP
ejpam-3071	302	52	the	the	DET
ejpam-3071	302	53	usual	usual	ADJ
ejpam-3071	302	54	sense	sense	NOUN
ejpam-3071	302	55	.	.	PUNCT
ejpam-3071	303	1	moreover	moreover	ADV
ejpam-3071	303	2	,	,	PUNCT
ejpam-3071	303	3	‖u(t	‖u(t	X
ejpam-3071	303	4	,	,	PUNCT
ejpam-3071	303	5	x)−	x)−	PROPN
ejpam-3071	303	6	ϕ(x)‖	ϕ(x)‖	PROPN
ejpam-3071	303	7	w	w	PROPN
ejpam-3071	303	8	[	[	PUNCT
ejpam-3071	303	9	n	n	NOUN
ejpam-3071	303	10	2	2	NUM
ejpam-3071	303	11	]	]	PUNCT
ejpam-3071	303	12	+4	+4	NUM
ejpam-3071	303	13	2	2	NUM
ejpam-3071	303	14	(	(	PUNCT
ejpam-3071	303	15	ω	ω	NOUN
ejpam-3071	303	16	)	)	PUNCT
ejpam-3071	303	17	→	→	SYM
ejpam-3071	303	18	0	0	NUM
ejpam-3071	303	19	,	,	PUNCT
ejpam-3071	303	20	‖ut(t	‖ut(t	NUM
ejpam-3071	303	21	,	,	PUNCT
ejpam-3071	303	22	x)−	x)−	PROPN
ejpam-3071	303	23	ψ(x)‖	ψ(x)‖	PROPN
ejpam-3071	304	1	w	w	PROPN
ejpam-3071	304	2	[	[	PUNCT
ejpam-3071	304	3	n	n	NOUN
ejpam-3071	304	4	2	2	NUM
ejpam-3071	304	5	]	]	PUNCT
ejpam-3071	304	6	+3	+3	PROPN
ejpam-3071	304	7	2	2	NUM
ejpam-3071	304	8	(	(	PUNCT
ejpam-3071	304	9	ω	ω	NOUN
ejpam-3071	304	10	)	)	PUNCT
ejpam-3071	304	11	→	→	SYM
ejpam-3071	304	12	0	0	NUM
ejpam-3071	304	13	as	as	ADP
ejpam-3071	304	14	t→	t→	DET
ejpam-3071	304	15	+0	+0	PROPN
ejpam-3071	304	16	.	.	PUNCT
ejpam-3071	304	17	thus	thus	ADV
ejpam-3071	304	18	,	,	PUNCT
ejpam-3071	304	19	function	function	NOUN
ejpam-3071	304	20	u(t	u(t	NOUN
ejpam-3071	304	21	,	,	PUNCT
ejpam-3071	304	22	x	x	X
ejpam-3071	304	23	)	)	PUNCT
ejpam-3071	304	24	is	be	AUX
ejpam-3071	304	25	a	a	DET
ejpam-3071	304	26	classical	classical	ADJ
ejpam-3071	304	27	solution	solution	NOUN
ejpam-3071	304	28	of	of	ADP
ejpam-3071	304	29	problem	problem	NOUN
ejpam-3071	304	30	(	(	PUNCT
ejpam-3071	304	31	1)-(3	1)-(3	NUM
ejpam-3071	304	32	)	)	PUNCT
ejpam-3071	304	33	and	and	CCONJ
ejpam-3071	304	34	now	now	ADV
ejpam-3071	304	35	we	we	PRON
ejpam-3071	304	36	prove	prove	VERB
ejpam-3071	304	37	the	the	DET
ejpam-3071	304	38	uniqueness	uniqueness	NOUN
ejpam-3071	304	39	(	(	PUNCT
ejpam-3071	304	40	in	in	ADP
ejpam-3071	304	41	large	large	ADJ
ejpam-3071	304	42	)	)	PUNCT
ejpam-3071	304	43	of	of	ADP
ejpam-3071	304	44	the	the	DET
ejpam-3071	304	45	classical	classical	ADJ
ejpam-3071	304	46	solution	solution	NOUN
ejpam-3071	304	47	of	of	ADP
ejpam-3071	304	48	problem	problem	NOUN
ejpam-3071	304	49	(	(	PUNCT
ejpam-3071	304	50	1)-(3	1)-(3	NUM
ejpam-3071	304	51	)	)	PUNCT
ejpam-3071	304	52	.	.	PUNCT
ejpam-3071	305	1	let	let	VERB
ejpam-3071	305	2	u(t	u(t	PROPN
ejpam-3071	305	3	,	,	PUNCT
ejpam-3071	305	4	x	x	NOUN
ejpam-3071	305	5	)	)	PUNCT
ejpam-3071	305	6	=	=	PUNCT
ejpam-3071	306	1	∞∑	∞∑	NUM
ejpam-3071	306	2	s=1	s=1	X
ejpam-3071	306	3	us(t)υs(x	us(t)υs(x	ADJ
ejpam-3071	306	4	)	)	PUNCT
ejpam-3071	306	5	and	and	CCONJ
ejpam-3071	306	6	ũ(t	ũ(t	PROPN
ejpam-3071	306	7	,	,	PUNCT
ejpam-3071	306	8	x	x	NOUN
ejpam-3071	306	9	)	)	PUNCT
ejpam-3071	306	10	=	=	PUNCT
ejpam-3071	307	1	∞∑	∞∑	NUM
ejpam-3071	307	2	s=1	s=1	PUNCT
ejpam-3071	307	3	ũs(t)υs(x	ũs(t)υs(x	PROPN
ejpam-3071	307	4	)	)	PUNCT
ejpam-3071	307	5	be	be	VERB
ejpam-3071	307	6	two	two	NUM
ejpam-3071	307	7	arbitrary	arbitrary	ADJ
ejpam-3071	307	8	classical	classical	ADJ
ejpam-3071	307	9	solutions	solution	NOUN
ejpam-3071	307	10	of	of	ADP
ejpam-3071	307	11	problem	problem	NOUN
ejpam-3071	307	12	(	(	PUNCT
ejpam-3071	307	13	1)-(3	1)-(3	NUM
ejpam-3071	307	14	)	)	PUNCT
ejpam-3071	307	15	.	.	PUNCT
ejpam-3071	308	1	then	then	ADV
ejpam-3071	308	2	,	,	PUNCT
ejpam-3071	308	3	due	due	ADP
ejpam-3071	308	4	to	to	ADP
ejpam-3071	308	5	lemma	lemma	PROPN
ejpam-3071	308	6	2	2	NUM
ejpam-3071	308	7	,	,	PUNCT
ejpam-3071	308	8	from	from	ADP
ejpam-3071	308	9	system	system	NOUN
ejpam-3071	308	10	(	(	PUNCT
ejpam-3071	308	11	10	10	NUM
ejpam-3071	308	12	)	)	PUNCT
ejpam-3071	308	13	we	we	PRON
ejpam-3071	308	14	obtain	obtain	VERB
ejpam-3071	308	15	that	that	SCONJ
ejpam-3071	308	16	‖u−	‖u−	PROPN
ejpam-3071	308	17	ũ‖2	ũ‖2	PROPN
ejpam-3071	308	18	b2,1	b2,1	NUM
ejpam-3071	308	19	2,2,t	2,2,t	NUM
ejpam-3071	308	20	≤	≤	NUM
ejpam-3071	308	21	(	(	PUNCT
ejpam-3071	308	22	2	2	NUM
ejpam-3071	308	23	t	t	NOUN
ejpam-3071	308	24	+	+	NOUN
ejpam-3071	308	25	1	1	X
ejpam-3071	308	26	)	)	PUNCT
ejpam-3071	308	27	t∫	t∫	PRON
ejpam-3071	308	28	0	0	NUM
ejpam-3071	308	29	‖=(u(t	‖=(u(t	PROPN
ejpam-3071	308	30	,	,	PUNCT
ejpam-3071	308	31	x))−=(ũ(t	x))−=(ũ(t	PROPN
ejpam-3071	308	32	,	,	PUNCT
ejpam-3071	308	33	x))‖2l2(ω	x))‖2l2(ω	ADV
ejpam-3071	308	34	)	)	PUNCT
ejpam-3071	309	1	dt	dt	X
ejpam-3071	309	2	,	,	PUNCT
ejpam-3071	309	3	(	(	PUNCT
ejpam-3071	309	4	37	37	NUM
ejpam-3071	309	5	)	)	PUNCT
ejpam-3071	309	6	where	where	SCONJ
ejpam-3071	309	7	operator	operator	NOUN
ejpam-3071	309	8	=	=	PUNCT
ejpam-3071	309	9	is	be	AUX
ejpam-3071	309	10	defined	define	VERB
ejpam-3071	309	11	by	by	ADP
ejpam-3071	309	12	(	(	PUNCT
ejpam-3071	309	13	11	11	NUM
ejpam-3071	309	14	)	)	PUNCT
ejpam-3071	309	15	.	.	PUNCT
ejpam-3071	310	1	then	then	ADV
ejpam-3071	310	2	it	it	PRON
ejpam-3071	310	3	is	be	AUX
ejpam-3071	310	4	evident	evident	ADJ
ejpam-3071	310	5	that	that	SCONJ
ejpam-3071	310	6	u(t	u(t	NOUN
ejpam-3071	310	7	,	,	PUNCT
ejpam-3071	310	8	x	x	NOUN
ejpam-3071	310	9	)	)	PUNCT
ejpam-3071	310	10	−	−	PROPN
ejpam-3071	310	11	ũ(t	ũ(t	PROPN
ejpam-3071	310	12	,	,	PUNCT
ejpam-3071	310	13	x	x	X
ejpam-3071	310	14	)	)	PUNCT
ejpam-3071	310	15	∈	∈	PROPN
ejpam-3071	310	16	b2,1	b2,1	PROPN
ejpam-3071	310	17	2,2,t	2,2,t	PROPN
ejpam-3071	310	18	,	,	PUNCT
ejpam-3071	310	19	because	because	SCONJ
ejpam-3071	310	20	=(	=(	NOUN
ejpam-3071	310	21	u(t	u(t	PROPN
ejpam-3071	310	22	,	,	PUNCT
ejpam-3071	310	23	x	x	NOUN
ejpam-3071	310	24	)	)	PUNCT
ejpam-3071	310	25	)	)	PUNCT
ejpam-3071	310	26	,	,	PUNCT
ejpam-3071	310	27	=(	=(	X
ejpam-3071	310	28	ũ(t	ũ(t	PROPN
ejpam-3071	310	29	,	,	PUNCT
ejpam-3071	310	30	x	x	NOUN
ejpam-3071	310	31	)	)	PUNCT
ejpam-3071	310	32	)	)	PUNCT
ejpam-3071	311	1	∈	∈	PROPN
ejpam-3071	311	2	c(q̄t	c(q̄t	PROPN
ejpam-3071	311	3	)	)	PUNCT
ejpam-3071	311	4	.	.	PUNCT
ejpam-3071	312	1	next	next	ADJ
ejpam-3071	312	2	,	,	PUNCT
ejpam-3071	312	3	similar	similar	ADJ
ejpam-3071	312	4	to	to	ADP
ejpam-3071	312	5	(	(	PUNCT
ejpam-3071	312	6	37	37	NUM
ejpam-3071	312	7	)	)	PUNCT
ejpam-3071	312	8	,	,	PUNCT
ejpam-3071	312	9	from	from	ADP
ejpam-3071	312	10	system	system	NOUN
ejpam-3071	312	11	(	(	PUNCT
ejpam-3071	312	12	10	10	NUM
ejpam-3071	312	13	)	)	PUNCT
ejpam-3071	312	14	we	we	PRON
ejpam-3071	312	15	have	have	VERB
ejpam-3071	312	16	for	for	ADP
ejpam-3071	312	17	every	every	DET
ejpam-3071	312	18	t	t	NOUN
ejpam-3071	312	19	∈	∈	PROPN
ejpam-3071	313	1	[	[	X
ejpam-3071	313	2	0	0	NUM
ejpam-3071	313	3	,	,	PUNCT
ejpam-3071	313	4	t	t	X
ejpam-3071	313	5	]	]	PUNCT
ejpam-3071	313	6	:	:	PUNCT
ejpam-3071	313	7	‖u−	‖u−	PROPN
ejpam-3071	313	8	ũ‖2	ũ‖2	PROPN
ejpam-3071	313	9	b2,1	b2,1	NUM
ejpam-3071	313	10	2,2,t	2,2,t	NUM
ejpam-3071	313	11	≤	≤	NUM
ejpam-3071	313	12	(	(	PUNCT
ejpam-3071	313	13	2	2	NUM
ejpam-3071	313	14	t	t	NOUN
ejpam-3071	313	15	+	+	NOUN
ejpam-3071	313	16	1	1	X
ejpam-3071	313	17	)	)	PUNCT
ejpam-3071	313	18	t∫	t∫	PROPN
ejpam-3071	313	19	0	0	NUM
ejpam-3071	313	20	‖=(u(τ	‖=(u(τ	PROPN
ejpam-3071	313	21	,	,	PUNCT
ejpam-3071	313	22	x))−=(ũ(τ	x))−=(ũ(τ	PROPN
ejpam-3071	313	23	,	,	PUNCT
ejpam-3071	313	24	x))‖2l2(ω	x))‖2l2(ω	ADV
ejpam-3071	313	25	)	)	PUNCT
ejpam-3071	313	26	dτ	dτ	NOUN
ejpam-3071	313	27	.	.	PROPN
ejpam-3071	313	28	(	(	PUNCT
ejpam-3071	313	29	38	38	NUM
ejpam-3071	313	30	)	)	PUNCT
ejpam-3071	313	31	from	from	ADP
ejpam-3071	313	32	(	(	PUNCT
ejpam-3071	313	33	38	38	NUM
ejpam-3071	313	34	)	)	PUNCT
ejpam-3071	313	35	,	,	PUNCT
ejpam-3071	313	36	due	due	ADP
ejpam-3071	313	37	to	to	ADP
ejpam-3071	313	38	condition	condition	NOUN
ejpam-3071	313	39	4	4	NUM
ejpam-3071	313	40	of	of	ADP
ejpam-3071	313	41	this	this	DET
ejpam-3071	313	42	theorem	theorem	NOUN
ejpam-3071	313	43	and	and	CCONJ
ejpam-3071	313	44	using	use	VERB
ejpam-3071	313	45	the	the	DET
ejpam-3071	313	46	structure	structure	NOUN
ejpam-3071	313	47	of	of	ADP
ejpam-3071	313	48	spase	spase	PROPN
ejpam-3071	313	49	b2,1	b2,1	PROPN
ejpam-3071	313	50	2,2,t	2,2,t	PROPN
ejpam-3071	313	51	,	,	PUNCT
ejpam-3071	313	52	for	for	ADP
ejpam-3071	313	53	every	every	DET
ejpam-3071	313	54	t	t	NOUN
ejpam-3071	313	55	∈	∈	PROPN
ejpam-3071	314	1	[	[	X
ejpam-3071	314	2	0	0	NUM
ejpam-3071	314	3	,	,	PUNCT
ejpam-3071	314	4	t	t	PROPN
ejpam-3071	314	5	]	]	PUNCT
ejpam-3071	314	6	we	we	PRON
ejpam-3071	314	7	have	have	VERB
ejpam-3071	314	8	:	:	PUNCT
ejpam-3071	314	9	‖u−	‖u−	PROPN
ejpam-3071	314	10	ũ‖2	ũ‖2	PROPN
ejpam-3071	314	11	b2,1	b2,1	NUM
ejpam-3071	314	12	2,2,t	2,2,t	NUM
ejpam-3071	314	13	≤	≤	NUM
ejpam-3071	314	14	c	c	VERB
ejpam-3071	315	1	t∫	t∫	PRON
ejpam-3071	315	2	0	0	NUM
ejpam-3071	316	1	‖u−	‖u−	PROPN
ejpam-3071	316	2	ũ‖2	ũ‖2	PROPN
ejpam-3071	316	3	b2,1	b2,1	PROPN
ejpam-3071	316	4	2,2,τ	2,2,τ	NUM
ejpam-3071	316	5	dτ	dτ	NOUN
ejpam-3071	316	6	,	,	PUNCT
ejpam-3071	316	7	where	where	SCONJ
ejpam-3071	316	8	c	c	AUX
ejpam-3071	316	9	>	>	X
ejpam-3071	316	10	0	0	NUM
ejpam-3071	316	11	is	be	AUX
ejpam-3071	316	12	some	some	DET
ejpam-3071	316	13	constant	constant	ADJ
ejpam-3071	316	14	.	.	PUNCT
ejpam-3071	317	1	from	from	ADP
ejpam-3071	317	2	here	here	ADV
ejpam-3071	317	3	,	,	PUNCT
ejpam-3071	317	4	on	on	ADP
ejpam-3071	317	5	applying	apply	VERB
ejpam-3071	317	6	bellman	bellman	NOUN
ejpam-3071	317	7	’s	’s	PART
ejpam-3071	317	8	inequality	inequality	NOUN
ejpam-3071	317	9	(	(	PUNCT
ejpam-3071	317	10	[	[	X
ejpam-3071	317	11	3	3	NUM
ejpam-3071	317	12	]	]	PUNCT
ejpam-3071	317	13	,	,	PUNCT
ejpam-3071	317	14	pp	pp	ADJ
ejpam-3071	317	15	.	.	PUNCT
ejpam-3071	318	1	188	188	NUM
ejpam-3071	318	2	-	-	SYM
ejpam-3071	318	3	189	189	NUM
ejpam-3071	318	4	)	)	PUNCT
ejpam-3071	318	5	,	,	PUNCT
ejpam-3071	318	6	we	we	PRON
ejpam-3071	318	7	obtain	obtain	VERB
ejpam-3071	318	8	that	that	SCONJ
ejpam-3071	318	9	∀t	∀t	PROPN
ejpam-3071	318	10	∈	∈	PROPN
ejpam-3071	319	1	[	[	X
ejpam-3071	319	2	0	0	NUM
ejpam-3071	319	3	,	,	PUNCT
ejpam-3071	319	4	t	t	X
ejpam-3071	319	5	]	]	PUNCT
ejpam-3071	320	1	‖u−	‖u−	PROPN
ejpam-3071	320	2	ũ‖2	ũ‖2	PROPN
ejpam-3071	320	3	b2,1	b2,1	NUM
ejpam-3071	320	4	2,2,t	2,2,t	NUM
ejpam-3071	320	5	=	=	SYM
ejpam-3071	320	6	0	0	NUM
ejpam-3071	320	7	.	.	PUNCT
ejpam-3071	321	1	hence	hence	ADV
ejpam-3071	321	2	,	,	PUNCT
ejpam-3071	321	3	u	u	PROPN
ejpam-3071	321	4	=	=	PROPN
ejpam-3071	321	5	ũ.	ũ.	PROPN
ejpam-3071	321	6	theorem	theorem	NOUN
ejpam-3071	321	7	is	be	AUX
ejpam-3071	321	8	proved	prove	VERB
ejpam-3071	321	9	.	.	PUNCT
ejpam-3071	322	1	references	reference	NOUN
ejpam-3071	322	2	1091	1091	NUM
ejpam-3071	322	3	references	reference	NOUN
ejpam-3071	322	4	[	[	X
ejpam-3071	322	5	1	1	NUM
ejpam-3071	322	6	]	]	X
ejpam-3071	322	7	s.j.aliyev	s.j.aliyev	NOUN
ejpam-3071	322	8	;	;	PUNCT
ejpam-3071	322	9	on	on	ADP
ejpam-3071	322	10	local	local	ADJ
ejpam-3071	322	11	existence	existence	NOUN
ejpam-3071	322	12	and	and	CCONJ
ejpam-3071	322	13	global	global	ADJ
ejpam-3071	322	14	uniqueness	uniqueness	NOUN
ejpam-3071	322	15	of	of	ADP
ejpam-3071	322	16	the	the	DET
ejpam-3071	322	17	almost	almost	ADV
ejpam-3071	322	18	everywhere	everywhere	ADJ
ejpam-3071	322	19	solution	solution	NOUN
ejpam-3071	322	20	of	of	ADP
ejpam-3071	322	21	a	a	DET
ejpam-3071	322	22	multidimensional	multidimensional	ADJ
ejpam-3071	322	23	mixed	mixed	ADJ
ejpam-3071	322	24	problem	problem	NOUN
ejpam-3071	322	25	for	for	ADP
ejpam-3071	322	26	one	one	NUM
ejpam-3071	322	27	class	class	NOUN
ejpam-3071	322	28	of	of	ADP
ejpam-3071	322	29	third	third	ADJ
ejpam-3071	322	30	order	order	NOUN
ejpam-3071	322	31	nonlinear	nonlinear	ADJ
ejpam-3071	322	32	differential	differential	ADJ
ejpam-3071	322	33	equations	equation	NOUN
ejpam-3071	322	34	,	,	PUNCT
ejpam-3071	322	35	report	report	NOUN
ejpam-3071	322	36	of	of	ADP
ejpam-3071	322	37	baku	baku	PROPN
ejpam-3071	322	38	state	state	PROPN
ejpam-3071	322	39	university	university	PROPN
ejpam-3071	322	40	,	,	PUNCT
ejpam-3071	322	41	phys	phy	NOUN
ejpam-3071	322	42	.	.	PUNCT
ejpam-3071	323	1	mat	mat	PROPN
ejpam-3071	323	2	.	.	PUNCT
ejpam-3071	323	3	ser	ser	NOUN
ejpam-3071	323	4	.	.	PROPN
ejpam-3071	323	5	3	3	NUM
ejpam-3071	323	6	(	(	PUNCT
ejpam-3071	323	7	2003	2003	NUM
ejpam-3071	323	8	)	)	PUNCT
ejpam-3071	323	9	,	,	PUNCT
ejpam-3071	323	10	1	1	NUM
ejpam-3071	323	11	-	-	SYM
ejpam-3071	323	12	7	7	NUM
ejpam-3071	323	13	(	(	PUNCT
ejpam-3071	323	14	in	in	ADP
ejpam-3071	323	15	russian	russian	NOUN
ejpam-3071	323	16	)	)	PUNCT
ejpam-3071	323	17	.	.	PUNCT
ejpam-3071	324	1	[	[	X
ejpam-3071	324	2	2	2	NUM
ejpam-3071	324	3	]	]	X
ejpam-3071	324	4	s.j.aliyev	s.j.aliyev	NOUN
ejpam-3071	324	5	;	;	PUNCT
ejpam-3071	324	6	on	on	ADP
ejpam-3071	324	7	global	global	ADJ
ejpam-3071	324	8	existence	existence	NOUN
ejpam-3071	324	9	of	of	ADP
ejpam-3071	324	10	almost	almost	ADV
ejpam-3071	324	11	everywhere	everywhere	ADV
ejpam-3071	324	12	solution	solution	NOUN
ejpam-3071	324	13	of	of	ADP
ejpam-3071	324	14	a	a	DET
ejpam-3071	324	15	multidimensional	multidimensional	ADJ
ejpam-3071	324	16	mixed	mixed	ADJ
ejpam-3071	324	17	problem	problem	NOUN
ejpam-3071	324	18	for	for	ADP
ejpam-3071	324	19	one	one	NUM
ejpam-3071	324	20	class	class	NOUN
ejpam-3071	324	21	third	third	ADJ
ejpam-3071	324	22	order	order	NOUN
ejpam-3071	324	23	nonlinear	nonlinear	ADJ
ejpam-3071	324	24	differential	differential	ADJ
ejpam-3071	324	25	equations	equation	NOUN
ejpam-3071	324	26	,	,	PUNCT
ejpam-3071	324	27	report	report	NOUN
ejpam-3071	324	28	of	of	ADP
ejpam-3071	324	29	baku	baku	PROPN
ejpam-3071	324	30	state	state	PROPN
ejpam-3071	324	31	university	university	PROPN
ejpam-3071	324	32	,	,	PUNCT
ejpam-3071	324	33	phys	phy	NOUN
ejpam-3071	324	34	.	.	PUNCT
ejpam-3071	325	1	mat	mat	PROPN
ejpam-3071	325	2	.	.	PUNCT
ejpam-3071	325	3	ser	ser	NOUN
ejpam-3071	325	4	.	.	PROPN
ejpam-3071	325	5	4	4	NUM
ejpam-3071	325	6	(	(	PUNCT
ejpam-3071	325	7	2003	2003	NUM
ejpam-3071	325	8	)	)	PUNCT
ejpam-3071	325	9	,	,	PUNCT
ejpam-3071	325	10	1	1	NUM
ejpam-3071	325	11	-	-	SYM
ejpam-3071	325	12	10	10	NUM
ejpam-3071	325	13	(	(	PUNCT
ejpam-3071	325	14	in	in	ADP
ejpam-3071	325	15	russian	russian	NOUN
ejpam-3071	325	16	)	)	PUNCT
ejpam-3071	325	17	.	.	PUNCT
ejpam-3071	326	1	[	[	X
ejpam-3071	326	2	3	3	X
ejpam-3071	326	3	]	]	PUNCT
ejpam-3071	326	4	e.beckenbach	e.beckenbach	NOUN
ejpam-3071	326	5	,	,	PUNCT
ejpam-3071	326	6	r.	r.	PROPN
ejpam-3071	326	7	bellman	bellman	PROPN
ejpam-3071	326	8	;	;	PUNCT
ejpam-3071	326	9	inequalities	inequality	NOUN
ejpam-3071	326	10	,	,	PUNCT
ejpam-3071	326	11	mir	mir	PROPN
ejpam-3071	326	12	,	,	PUNCT
ejpam-3071	326	13	1965	1965	NUM
ejpam-3071	326	14	,	,	PUNCT
ejpam-3071	326	15	276p	276p	NUM
ejpam-3071	326	16	.	.	PUNCT
ejpam-3071	327	1	(	(	PUNCT
ejpam-3071	327	2	in	in	ADP
ejpam-3071	327	3	russian	russian	NOUN
ejpam-3071	327	4	)	)	PUNCT
ejpam-3071	327	5	.	.	PUNCT
ejpam-3071	328	1	[	[	X
ejpam-3071	328	2	4	4	X
ejpam-3071	328	3	]	]	X
ejpam-3071	328	4	ebihara	ebihara	NOUN
ejpam-3071	328	5	yukiyoshi	yukiyoshi	ADJ
ejpam-3071	328	6	;	;	PUNCT
ejpam-3071	328	7	on	on	ADP
ejpam-3071	328	8	some	some	DET
ejpam-3071	328	9	nonlinear	nonlinear	ADJ
ejpam-3071	328	10	evolution	evolution	NOUN
ejpam-3071	328	11	equations	equation	NOUN
ejpam-3071	328	12	with	with	ADP
ejpam-3071	328	13	the	the	DET
ejpam-3071	328	14	strong	strong	ADJ
ejpam-3071	328	15	dissipation	dissipation	NOUN
ejpam-3071	328	16	,	,	PUNCT
ejpam-3071	328	17	j.	j.	PROPN
ejpam-3071	328	18	different	different	PROPN
ejpam-3071	328	19	.	.	PUNCT
ejpam-3071	329	1	equat	equat	INTJ
ejpam-3071	329	2	.	.	PUNCT
ejpam-3071	330	1	30	30	NUM
ejpam-3071	330	2	(	(	PUNCT
ejpam-3071	330	3	2	2	NUM
ejpam-3071	330	4	)	)	PUNCT
ejpam-3071	330	5	(	(	PUNCT
ejpam-3071	330	6	1978	1978	NUM
ejpam-3071	330	7	)	)	PUNCT
ejpam-3071	330	8	,	,	PUNCT
ejpam-3071	330	9	149	149	NUM
ejpam-3071	330	10	-	-	SYM
ejpam-3071	330	11	164	164	NUM
ejpam-3071	330	12	.	.	PUNCT
ejpam-3071	331	1	[	[	X
ejpam-3071	331	2	5	5	X
ejpam-3071	331	3	]	]	PUNCT
ejpam-3071	331	4	ebihara	ebihara	NOUN
ejpam-3071	331	5	yukiyoshi	yukiyoshi	ADJ
ejpam-3071	331	6	;	;	PUNCT
ejpam-3071	331	7	on	on	ADP
ejpam-3071	331	8	some	some	DET
ejpam-3071	331	9	nonlinear	nonlinear	ADJ
ejpam-3071	331	10	evolution	evolution	NOUN
ejpam-3071	331	11	equations	equation	NOUN
ejpam-3071	331	12	with	with	ADP
ejpam-3071	331	13	the	the	DET
ejpam-3071	331	14	strong	strong	ADJ
ejpam-3071	331	15	dissipation	dissipation	NOUN
ejpam-3071	331	16	,	,	PUNCT
ejpam-3071	331	17	ii	ii	PROPN
ejpam-3071	331	18	j.	j.	PROPN
ejpam-3071	331	19	different	different	PROPN
ejpam-3071	331	20	.	.	PUNCT
ejpam-3071	332	1	equat	equat	INTJ
ejpam-3071	332	2	.	.	PUNCT
ejpam-3071	333	1	34	34	NUM
ejpam-3071	333	2	(	(	PUNCT
ejpam-3071	333	3	3)(1979	3)(1979	NUM
ejpam-3071	333	4	)	)	PUNCT
ejpam-3071	333	5	,	,	PUNCT
ejpam-3071	333	6	329	329	NUM
ejpam-3071	333	7	-	-	SYM
ejpam-3071	333	8	352	352	NUM
ejpam-3071	333	9	.	.	PUNCT
ejpam-3071	334	1	[	[	X
ejpam-3071	334	2	6	6	NUM
ejpam-3071	334	3	]	]	PUNCT
ejpam-3071	334	4	ebihara	ebihara	NOUN
ejpam-3071	334	5	yukiyoshi	yukiyoshi	ADJ
ejpam-3071	334	6	;	;	PUNCT
ejpam-3071	334	7	on	on	ADP
ejpam-3071	334	8	some	some	DET
ejpam-3071	334	9	nonlinear	nonlinear	ADJ
ejpam-3071	334	10	evolution	evolution	NOUN
ejpam-3071	334	11	equations	equation	NOUN
ejpam-3071	334	12	with	with	ADP
ejpam-3071	334	13	the	the	DET
ejpam-3071	334	14	strong	strong	ADJ
ejpam-3071	334	15	dissipation	dissipation	NOUN
ejpam-3071	334	16	,	,	PUNCT
ejpam-3071	334	17	iii	iii	X
ejpam-3071	334	18	j.	j.	PROPN
ejpam-3071	334	19	different	different	PROPN
ejpam-3071	334	20	.	.	PUNCT
ejpam-3071	335	1	equat	equat	INTJ
ejpam-3071	335	2	.	.	PUNCT
ejpam-3071	336	1	45	45	NUM
ejpam-3071	336	2	(	(	PUNCT
ejpam-3071	336	3	3	3	NUM
ejpam-3071	336	4	)	)	PUNCT
ejpam-3071	336	5	(	(	PUNCT
ejpam-3071	336	6	1982	1982	NUM
ejpam-3071	336	7	)	)	PUNCT
ejpam-3071	336	8	,	,	PUNCT
ejpam-3071	336	9	332	332	NUM
ejpam-3071	336	10	-	-	SYM
ejpam-3071	336	11	355	355	NUM
ejpam-3071	336	12	.	.	PUNCT
ejpam-3071	337	1	[	[	X
ejpam-3071	337	2	7	7	X
ejpam-3071	337	3	]	]	X
ejpam-3071	337	4	k.i	k.i	PROPN
ejpam-3071	337	5	.	.	PROPN
ejpam-3071	337	6	khudaverdiyev	khudaverdiyev	PROPN
ejpam-3071	337	7	;	;	PUNCT
ejpam-3071	337	8	multidimensional	multidimensional	ADJ
ejpam-3071	337	9	mixed	mixed	ADJ
ejpam-3071	337	10	problem	problem	NOUN
ejpam-3071	337	11	for	for	ADP
ejpam-3071	337	12	nonlinear	nonlinear	ADJ
ejpam-3071	337	13	hyperbolic	hyperbolic	ADJ
ejpam-3071	337	14	equations	equation	NOUN
ejpam-3071	337	15	,	,	PUNCT
ejpam-3071	337	16	az	az	PROPN
ejpam-3071	337	17	.	.	PUNCT
ejpam-3071	337	18	gostekn	gostekn	PROPN
ejpam-3071	337	19	.	.	PUNCT
ejpam-3071	338	1	university	university	NOUN
ejpam-3071	338	2	publ	publ	NOUN
ejpam-3071	338	3	.	.	PUNCT
ejpam-3071	339	1	baku	baku	PROPN
ejpam-3071	339	2	,	,	PUNCT
ejpam-3071	339	3	2011	2011	NUM
ejpam-3071	339	4	,	,	PUNCT
ejpam-3071	339	5	611p	611p	PROPN
ejpam-3071	339	6	.	.	PUNCT
ejpam-3071	340	1	(	(	PUNCT
ejpam-3071	340	2	in	in	ADP
ejpam-3071	340	3	russian	russian	NOUN
ejpam-3071	340	4	)	)	PUNCT
ejpam-3071	340	5	.	.	PUNCT
ejpam-3071	341	1	[	[	X
ejpam-3071	341	2	8	8	NUM
ejpam-3071	341	3	]	]	X
ejpam-3071	341	4	k.i	k.i	PROPN
ejpam-3071	341	5	.	.	PROPN
ejpam-3071	341	6	khudaverdiyev	khudaverdiyev	PROPN
ejpam-3071	341	7	,	,	PUNCT
ejpam-3071	341	8	a.a	a.a	PROPN
ejpam-3071	341	9	.	.	PROPN
ejpam-3071	341	10	veliyev	veliyev	PROPN
ejpam-3071	341	11	;	;	PUNCT
ejpam-3071	341	12	study	study	NOUN
ejpam-3071	341	13	of	of	ADP
ejpam-3071	341	14	the	the	DET
ejpam-3071	341	15	onedimensional	onedimensional	ADJ
ejpam-3071	341	16	mixed	mixed	ADJ
ejpam-3071	341	17	problem	problem	NOUN
ejpam-3071	341	18	for	for	ADP
ejpam-3071	341	19	a	a	DET
ejpam-3071	341	20	class	class	NOUN
ejpam-3071	341	21	of	of	ADP
ejpam-3071	341	22	third	third	ADJ
ejpam-3071	341	23	order	order	NOUN
ejpam-3071	341	24	psevdohyperbolic	psevdohyperbolic	ADJ
ejpam-3071	341	25	equations	equation	NOUN
ejpam-3071	341	26	with	with	ADP
ejpam-3071	341	27	nonlinear	nonlinear	ADJ
ejpam-3071	341	28	operator	operator	NOUN
ejpam-3071	341	29	right	right	ADJ
ejpam-3071	341	30	side	side	NOUN
ejpam-3071	341	31	,	,	PUNCT
ejpam-3071	341	32	chashioglu	chashioglu	NOUN
ejpam-3071	341	33	,	,	PUNCT
ejpam-3071	341	34	baku	baku	PROPN
ejpam-3071	341	35	,	,	PUNCT
ejpam-3071	341	36	2010	2010	NUM
ejpam-3071	341	37	,	,	PUNCT
ejpam-3071	341	38	167p	167p	NUM
ejpam-3071	341	39	.	.	PUNCT
ejpam-3071	342	1	(	(	PUNCT
ejpam-3071	342	2	in	in	ADP
ejpam-3071	342	3	russian	russian	NOUN
ejpam-3071	342	4	)	)	PUNCT
ejpam-3071	342	5	.	.	PUNCT
ejpam-3071	343	1	[	[	X
ejpam-3071	343	2	9	9	NUM
ejpam-3071	343	3	]	]	X
ejpam-3071	343	4	o.a	o.a	PROPN
ejpam-3071	343	5	.	.	PROPN
ejpam-3071	343	6	ladyzhenskaya	ladyzhenskaya	PROPN
ejpam-3071	343	7	;	;	PUNCT
ejpam-3071	343	8	mixed	mixed	ADJ
ejpam-3071	343	9	problem	problem	NOUN
ejpam-3071	343	10	for	for	ADP
ejpam-3071	343	11	hyperbolic	hyperbolic	ADJ
ejpam-3071	343	12	equations	equation	NOUN
ejpam-3071	343	13	,	,	PUNCT
ejpam-3071	343	14	gostekhizdat	gostekhizdat	NOUN
ejpam-3071	343	15	,	,	PUNCT
ejpam-3071	343	16	1953	1953	NUM
ejpam-3071	343	17	,	,	PUNCT
ejpam-3071	343	18	279p	279p	PROPN
ejpam-3071	343	19	.	.	PUNCT
ejpam-3071	344	1	(	(	PUNCT
ejpam-3071	344	2	in	in	ADP
ejpam-3071	344	3	russian	russian	NOUN
ejpam-3071	344	4	)	)	PUNCT
ejpam-3071	344	5	.	.	PUNCT
ejpam-3071	345	1	[	[	X
ejpam-3071	345	2	10	10	NUM
ejpam-3071	345	3	]	]	X
ejpam-3071	345	4	g.f	g.f	PROPN
ejpam-3071	345	5	.	.	PROPN
ejpam-3071	345	6	webb	webb	PROPN
ejpam-3071	345	7	;	;	PUNCT
ejpam-3071	345	8	existence	existence	NOUN
ejpam-3071	345	9	and	and	CCONJ
ejpam-3071	345	10	asymptotic	asymptotic	ADJ
ejpam-3071	345	11	behavior	behavior	NOUN
ejpam-3071	345	12	for	for	ADP
ejpam-3071	345	13	a	a	DET
ejpam-3071	345	14	strongly	strongly	ADV
ejpam-3071	345	15	damped	damp	VERB
ejpam-3071	345	16	nonlinear	nonlinear	ADJ
ejpam-3071	345	17	wave	wave	NOUN
ejpam-3071	345	18	equation	equation	NOUN
ejpam-3071	345	19	,	,	PUNCT
ejpam-3071	345	20	can	can	AUX
ejpam-3071	345	21	.	.	PUNCT
ejpam-3071	346	1	j.	j.	PROPN
ejpam-3071	346	2	math	math	PROPN
ejpam-3071	346	3	.	.	PUNCT
ejpam-3071	346	4	,	,	PUNCT
ejpam-3071	346	5	3	3	NUM
ejpam-3071	346	6	(	(	PUNCT
ejpam-3071	346	7	1980	1980	NUM
ejpam-3071	346	8	)	)	PUNCT
ejpam-3071	346	9	,	,	PUNCT
ejpam-3071	346	10	631	631	NUM
ejpam-3071	346	11	-	-	SYM
ejpam-3071	346	12	643	643	NUM
ejpam-3071	346	13	.	.	PUNCT