id	sid	tid	token	lemma	pos
ejpam-4743	1	1	european	european	PROPN
ejpam-4743	1	2	journal	journal	PROPN
ejpam-4743	1	3	of	of	ADP
ejpam-4743	1	4	pure	pure	ADJ
ejpam-4743	1	5	and	and	CCONJ
ejpam-4743	1	6	applied	apply	VERB
ejpam-4743	1	7	mathematics	mathematic	NOUN
ejpam-4743	1	8	vol	vol	NOUN
ejpam-4743	1	9	.	.	PUNCT
ejpam-4743	2	1	16	16	NUM
ejpam-4743	2	2	,	,	PUNCT
ejpam-4743	2	3	no	no	INTJ
ejpam-4743	2	4	.	.	NOUN
ejpam-4743	2	5	2	2	NUM
ejpam-4743	2	6	,	,	PUNCT
ejpam-4743	2	7	2023	2023	NUM
ejpam-4743	2	8	,	,	PUNCT
ejpam-4743	2	9	670	670	NUM
ejpam-4743	2	10	-	-	SYM
ejpam-4743	2	11	686	686	NUM
ejpam-4743	2	12	issn	issn	PROPN
ejpam-4743	2	13	1307	1307	NUM
ejpam-4743	2	14	-	-	SYM
ejpam-4743	2	15	5543	5543	NUM
ejpam-4743	2	16	–	–	PUNCT
ejpam-4743	2	17	ejpam.com	ejpam.com	X
ejpam-4743	2	18	published	publish	VERB
ejpam-4743	2	19	by	by	ADP
ejpam-4743	2	20	new	new	PROPN
ejpam-4743	2	21	york	york	PROPN
ejpam-4743	2	22	business	business	PROPN
ejpam-4743	2	23	global	global	ADJ
ejpam-4743	2	24	two	two	NUM
ejpam-4743	2	25	-	-	PUNCT
ejpam-4743	2	26	dimensional	dimensional	ADJ
ejpam-4743	2	27	inverse	inverse	NOUN
ejpam-4743	2	28	boundary	boundary	ADJ
ejpam-4743	2	29	value	value	NOUN
ejpam-4743	2	30	problem	problem	NOUN
ejpam-4743	2	31	for	for	ADP
ejpam-4743	2	32	a	a	DET
ejpam-4743	2	33	third	third	ADJ
ejpam-4743	2	34	-	-	PUNCT
ejpam-4743	2	35	order	order	NOUN
ejpam-4743	2	36	pseudo	pseudo	NOUN
ejpam-4743	2	37	-	-	ADJ
ejpam-4743	2	38	hyperbolic	hyperbolic	ADJ
ejpam-4743	2	39	equation	equation	NOUN
ejpam-4743	2	40	with	with	ADP
ejpam-4743	2	41	an	an	DET
ejpam-4743	2	42	additional	additional	ADJ
ejpam-4743	2	43	integral	integral	ADJ
ejpam-4743	2	44	condition	condition	NOUN
ejpam-4743	2	45	yashar	yashar	PRON
ejpam-4743	2	46	t.	t.	PROPN
ejpam-4743	2	47	mehraliyev1	mehraliyev1	PROPN
ejpam-4743	2	48	,	,	PUNCT
ejpam-4743	2	49	sadikhzade	sadikhzade	NOUN
ejpam-4743	2	50	r.shafi1	r.shafi1	PROPN
ejpam-4743	2	51	,	,	PUNCT
ejpam-4743	2	52	aysel	aysel	NOUN
ejpam-4743	2	53	t.	t.	PROPN
ejpam-4743	2	54	ramazanova2,∗	ramazanova2,∗	VERB
ejpam-4743	2	55	1	1	NUM
ejpam-4743	2	56	department	department	NOUN
ejpam-4743	2	57	of	of	ADP
ejpam-4743	2	58	differential	differential	ADJ
ejpam-4743	2	59	and	and	CCONJ
ejpam-4743	2	60	integral	integral	ADJ
ejpam-4743	2	61	equations	equation	NOUN
ejpam-4743	2	62	,	,	PUNCT
ejpam-4743	2	63	baku	baku	PROPN
ejpam-4743	2	64	state	state	PROPN
ejpam-4743	2	65	university	university	PROPN
ejpam-4743	2	66	,	,	PUNCT
ejpam-4743	2	67	baku	baku	PROPN
ejpam-4743	2	68	,	,	PUNCT
ejpam-4743	2	69	azerbaijan	azerbaijan	PROPN
ejpam-4743	2	70	2	2	NUM
ejpam-4743	2	71	fakultät	fakultät	NOUN
ejpam-4743	2	72	of	of	ADP
ejpam-4743	2	73	mathematik	mathematik	PROPN
ejpam-4743	2	74	,	,	PUNCT
ejpam-4743	2	75	universität	universität	PROPN
ejpam-4743	2	76	duisburg	duisburg	PROPN
ejpam-4743	2	77	-	-	PUNCT
ejpam-4743	2	78	essen	essen	NOUN
ejpam-4743	2	79	,	,	PUNCT
ejpam-4743	2	80	essen	essen	PROPN
ejpam-4743	2	81	,	,	PUNCT
ejpam-4743	2	82	germany	germany	PROPN
ejpam-4743	2	83	abstract	abstract	NOUN
ejpam-4743	2	84	.	.	PUNCT
ejpam-4743	3	1	in	in	ADP
ejpam-4743	3	2	this	this	DET
ejpam-4743	3	3	paper	paper	NOUN
ejpam-4743	3	4	we	we	PRON
ejpam-4743	3	5	study	study	VERB
ejpam-4743	3	6	an	an	DET
ejpam-4743	3	7	inverse	inverse	NOUN
ejpam-4743	3	8	boundary	boundary	NOUN
ejpam-4743	3	9	value	value	NOUN
ejpam-4743	3	10	problem	problem	NOUN
ejpam-4743	3	11	with	with	ADP
ejpam-4743	3	12	an	an	DET
ejpam-4743	3	13	unknown	unknown	ADJ
ejpam-4743	3	14	timedependent	timedependent	NOUN
ejpam-4743	3	15	coefficient	coefficient	NOUN
ejpam-4743	3	16	for	for	ADP
ejpam-4743	3	17	a	a	DET
ejpam-4743	3	18	third	third	ADJ
ejpam-4743	3	19	-	-	PUNCT
ejpam-4743	3	20	order	order	NOUN
ejpam-4743	3	21	pseudo	pseudo	NOUN
ejpam-4743	3	22	-	-	ADJ
ejpam-4743	3	23	hyperbolic	hyperbolic	ADJ
ejpam-4743	3	24	equation	equation	NOUN
ejpam-4743	3	25	with	with	ADP
ejpam-4743	3	26	an	an	DET
ejpam-4743	3	27	additional	additional	ADJ
ejpam-4743	3	28	integral	integral	ADJ
ejpam-4743	3	29	condition	condition	NOUN
ejpam-4743	3	30	.	.	PUNCT
ejpam-4743	4	1	the	the	DET
ejpam-4743	4	2	definition	definition	NOUN
ejpam-4743	4	3	of	of	ADP
ejpam-4743	4	4	the	the	DET
ejpam-4743	4	5	classical	classical	ADJ
ejpam-4743	4	6	solution	solution	NOUN
ejpam-4743	4	7	of	of	ADP
ejpam-4743	4	8	the	the	DET
ejpam-4743	4	9	problem	problem	NOUN
ejpam-4743	4	10	is	be	AUX
ejpam-4743	4	11	given	give	VERB
ejpam-4743	4	12	.	.	PUNCT
ejpam-4743	5	1	the	the	DET
ejpam-4743	5	2	essence	essence	NOUN
ejpam-4743	5	3	of	of	ADP
ejpam-4743	5	4	the	the	DET
ejpam-4743	5	5	problem	problem	NOUN
ejpam-4743	5	6	is	be	AUX
ejpam-4743	5	7	that	that	SCONJ
ejpam-4743	5	8	it	it	PRON
ejpam-4743	5	9	is	be	AUX
ejpam-4743	5	10	required	require	VERB
ejpam-4743	5	11	together	together	ADV
ejpam-4743	5	12	with	with	ADP
ejpam-4743	5	13	the	the	DET
ejpam-4743	5	14	solution	solution	NOUN
ejpam-4743	5	15	to	to	PART
ejpam-4743	5	16	determine	determine	VERB
ejpam-4743	5	17	the	the	DET
ejpam-4743	5	18	unknown	unknown	ADJ
ejpam-4743	5	19	coefficient	coefficient	NOUN
ejpam-4743	5	20	.	.	PUNCT
ejpam-4743	6	1	the	the	DET
ejpam-4743	6	2	problem	problem	NOUN
ejpam-4743	6	3	is	be	AUX
ejpam-4743	6	4	considered	consider	VERB
ejpam-4743	6	5	in	in	ADP
ejpam-4743	6	6	a	a	DET
ejpam-4743	6	7	rectangular	rectangular	ADJ
ejpam-4743	6	8	area	area	NOUN
ejpam-4743	6	9	.	.	PUNCT
ejpam-4743	7	1	when	when	SCONJ
ejpam-4743	7	2	solving	solve	VERB
ejpam-4743	7	3	the	the	DET
ejpam-4743	7	4	original	original	ADJ
ejpam-4743	7	5	inverse	inverse	NOUN
ejpam-4743	7	6	boundary	boundary	NOUN
ejpam-4743	7	7	value	value	NOUN
ejpam-4743	7	8	problem	problem	NOUN
ejpam-4743	7	9	,	,	PUNCT
ejpam-4743	7	10	the	the	DET
ejpam-4743	7	11	transition	transition	NOUN
ejpam-4743	7	12	from	from	ADP
ejpam-4743	7	13	the	the	DET
ejpam-4743	7	14	original	original	ADJ
ejpam-4743	7	15	inverse	inverse	NOUN
ejpam-4743	7	16	problem	problem	NOUN
ejpam-4743	7	17	to	to	ADP
ejpam-4743	7	18	some	some	DET
ejpam-4743	7	19	auxiliary	auxiliary	ADJ
ejpam-4743	7	20	inverse	inverse	NOUN
ejpam-4743	7	21	problem	problem	NOUN
ejpam-4743	7	22	is	be	AUX
ejpam-4743	7	23	carried	carry	VERB
ejpam-4743	7	24	out	out	ADP
ejpam-4743	7	25	.	.	PUNCT
ejpam-4743	8	1	the	the	DET
ejpam-4743	8	2	existence	existence	NOUN
ejpam-4743	8	3	and	and	CCONJ
ejpam-4743	8	4	uniqueness	uniqueness	NOUN
ejpam-4743	8	5	of	of	ADP
ejpam-4743	8	6	a	a	DET
ejpam-4743	8	7	solution	solution	NOUN
ejpam-4743	8	8	to	to	ADP
ejpam-4743	8	9	an	an	DET
ejpam-4743	8	10	auxiliary	auxiliary	ADJ
ejpam-4743	8	11	problem	problem	NOUN
ejpam-4743	8	12	are	be	AUX
ejpam-4743	8	13	proved	prove	VERB
ejpam-4743	8	14	with	with	ADP
ejpam-4743	8	15	the	the	DET
ejpam-4743	8	16	help	help	NOUN
ejpam-4743	8	17	of	of	ADP
ejpam-4743	8	18	contracted	contract	VERB
ejpam-4743	8	19	mappings	mapping	NOUN
ejpam-4743	8	20	.	.	PUNCT
ejpam-4743	9	1	then	then	ADV
ejpam-4743	9	2	the	the	DET
ejpam-4743	9	3	transition	transition	NOUN
ejpam-4743	9	4	to	to	ADP
ejpam-4743	9	5	the	the	DET
ejpam-4743	9	6	original	original	ADJ
ejpam-4743	9	7	inverse	inverse	NOUN
ejpam-4743	9	8	problem	problem	NOUN
ejpam-4743	9	9	is	be	AUX
ejpam-4743	9	10	again	again	ADV
ejpam-4743	9	11	made	make	VERB
ejpam-4743	9	12	,	,	PUNCT
ejpam-4743	9	13	as	as	ADP
ejpam-4743	9	14	a	a	DET
ejpam-4743	9	15	result	result	NOUN
ejpam-4743	9	16	,	,	PUNCT
ejpam-4743	9	17	a	a	DET
ejpam-4743	9	18	conclusion	conclusion	NOUN
ejpam-4743	9	19	is	be	AUX
ejpam-4743	9	20	made	make	VERB
ejpam-4743	9	21	about	about	ADP
ejpam-4743	9	22	the	the	DET
ejpam-4743	9	23	solvability	solvability	NOUN
ejpam-4743	9	24	of	of	ADP
ejpam-4743	9	25	the	the	DET
ejpam-4743	9	26	original	original	ADJ
ejpam-4743	9	27	inverse	inverse	NOUN
ejpam-4743	9	28	problem	problem	NOUN
ejpam-4743	9	29	.	.	PUNCT
ejpam-4743	10	1	2020	2020	NUM
ejpam-4743	10	2	mathematics	mathematic	NOUN
ejpam-4743	10	3	subject	subject	NOUN
ejpam-4743	10	4	classifications	classification	NOUN
ejpam-4743	10	5	:	:	PUNCT
ejpam-4743	10	6	31a25	31a25	NUM
ejpam-4743	10	7	,	,	PUNCT
ejpam-4743	10	8	35l35	35l35	NUM
ejpam-4743	10	9	key	key	ADJ
ejpam-4743	10	10	words	word	NOUN
ejpam-4743	10	11	and	and	CCONJ
ejpam-4743	10	12	phrases	phrase	NOUN
ejpam-4743	10	13	:	:	PUNCT
ejpam-4743	10	14	inverse	inverse	ADJ
ejpam-4743	10	15	boundary	boundary	ADJ
ejpam-4743	10	16	value	value	NOUN
ejpam-4743	10	17	problem	problem	NOUN
ejpam-4743	10	18	,	,	PUNCT
ejpam-4743	10	19	third	third	ADJ
ejpam-4743	10	20	-	-	PUNCT
ejpam-4743	10	21	order	order	NOUN
ejpam-4743	10	22	pseudo	pseudo	NOUN
ejpam-4743	10	23	-	-	ADJ
ejpam-4743	10	24	hyperbolic	hyperbolic	ADJ
ejpam-4743	10	25	equation	equation	NOUN
ejpam-4743	10	26	,	,	PUNCT
ejpam-4743	10	27	fourier	fourier	NOUN
ejpam-4743	10	28	method	method	NOUN
ejpam-4743	10	29	,	,	PUNCT
ejpam-4743	10	30	classical	classical	ADJ
ejpam-4743	10	31	solution	solution	NOUN
ejpam-4743	10	32	1	1	NUM
ejpam-4743	10	33	.	.	PUNCT
ejpam-4743	11	1	introduction	introduction	NOUN
ejpam-4743	11	2	and	and	CCONJ
ejpam-4743	11	3	problem	problem	NOUN
ejpam-4743	11	4	statement	statement	NOUN
ejpam-4743	11	5	it	it	PRON
ejpam-4743	11	6	is	be	AUX
ejpam-4743	11	7	known	know	VERB
ejpam-4743	11	8	that	that	SCONJ
ejpam-4743	11	9	the	the	DET
ejpam-4743	11	10	practical	practical	ADJ
ejpam-4743	11	11	requirements	requirement	NOUN
ejpam-4743	11	12	often	often	ADV
ejpam-4743	11	13	lead	lead	VERB
ejpam-4743	11	14	to	to	ADP
ejpam-4743	11	15	the	the	DET
ejpam-4743	11	16	problem	problem	NOUN
ejpam-4743	11	17	of	of	ADP
ejpam-4743	11	18	determining	determine	VERB
ejpam-4743	11	19	the	the	DET
ejpam-4743	11	20	coefficients	coefficient	NOUN
ejpam-4743	11	21	or	or	CCONJ
ejpam-4743	11	22	the	the	DET
ejpam-4743	11	23	right	right	ADJ
ejpam-4743	11	24	hand	hand	NOUN
ejpam-4743	11	25	side	side	NOUN
ejpam-4743	11	26	of	of	ADP
ejpam-4743	11	27	the	the	DET
ejpam-4743	11	28	differential	differential	ADJ
ejpam-4743	11	29	equations	equation	NOUN
ejpam-4743	11	30	for	for	ADP
ejpam-4743	11	31	some	some	DET
ejpam-4743	11	32	known	know	VERB
ejpam-4743	11	33	data	datum	NOUN
ejpam-4743	11	34	about	about	ADP
ejpam-4743	11	35	their	their	PRON
ejpam-4743	11	36	solutions	solution	NOUN
ejpam-4743	11	37	.	.	PUNCT
ejpam-4743	12	1	such	such	ADJ
ejpam-4743	12	2	problems	problem	NOUN
ejpam-4743	12	3	are	be	AUX
ejpam-4743	12	4	called	call	VERB
ejpam-4743	12	5	inverse	inverse	NOUN
ejpam-4743	12	6	problems	problem	NOUN
ejpam-4743	12	7	in	in	ADP
ejpam-4743	12	8	mathematical	mathematical	ADJ
ejpam-4743	12	9	physics	physic	NOUN
ejpam-4743	12	10	.	.	PUNCT
ejpam-4743	13	1	inverse	inverse	PROPN
ejpam-4743	13	2	problems	problem	NOUN
ejpam-4743	13	3	arise	arise	VERB
ejpam-4743	13	4	in	in	ADP
ejpam-4743	13	5	various	various	ADJ
ejpam-4743	13	6	fields	field	NOUN
ejpam-4743	13	7	of	of	ADP
ejpam-4743	13	8	human	human	ADJ
ejpam-4743	13	9	activity	activity	NOUN
ejpam-4743	13	10	,	,	PUNCT
ejpam-4743	13	11	such	such	ADJ
ejpam-4743	13	12	as	as	ADP
ejpam-4743	13	13	seismology	seismology	NOUN
ejpam-4743	13	14	,	,	PUNCT
ejpam-4743	13	15	mineral	mineral	NOUN
ejpam-4743	13	16	exploration	exploration	NOUN
ejpam-4743	13	17	,	,	PUNCT
ejpam-4743	13	18	biology	biology	NOUN
ejpam-4743	13	19	,	,	PUNCT
ejpam-4743	13	20	medical	medical	ADJ
ejpam-4743	13	21	visualization	visualization	NOUN
ejpam-4743	13	22	,	,	PUNCT
ejpam-4743	13	23	computed	compute	VERB
ejpam-4743	13	24	tomography	tomography	NOUN
ejpam-4743	13	25	,	,	PUNCT
ejpam-4743	13	26	earth	earth	NOUN
ejpam-4743	13	27	remote	remote	ADJ
ejpam-4743	13	28	sensing	sensing	NOUN
ejpam-4743	13	29	,	,	PUNCT
ejpam-4743	13	30	spectral	spectral	ADJ
ejpam-4743	13	31	analysis	analysis	NOUN
ejpam-4743	13	32	,	,	PUNCT
ejpam-4743	13	33	nondestructive	nondestructive	ADJ
ejpam-4743	13	34	control	control	NOUN
ejpam-4743	13	35	,	,	PUNCT
ejpam-4743	13	36	etc	etc	X
ejpam-4743	13	37	.	.	X
ejpam-4743	13	38	fundamentals	fundamental	NOUN
ejpam-4743	13	39	of	of	ADP
ejpam-4743	13	40	the	the	DET
ejpam-4743	13	41	theory	theory	NOUN
ejpam-4743	13	42	and	and	CCONJ
ejpam-4743	13	43	practice	practice	NOUN
ejpam-4743	13	44	of	of	ADP
ejpam-4743	13	45	research	research	NOUN
ejpam-4743	13	46	of	of	ADP
ejpam-4743	13	47	inverse	inverse	NOUN
ejpam-4743	13	48	problems	problem	NOUN
ejpam-4743	13	49	were	be	AUX
ejpam-4743	13	50	established	establish	VERB
ejpam-4743	13	51	and	and	CCONJ
ejpam-4743	13	52	developed	develop	VERB
ejpam-4743	13	53	in	in	ADP
ejpam-4743	13	54	the	the	DET
ejpam-4743	13	55	works	work	NOUN
ejpam-4743	13	56	published	publish	VERB
ejpam-4743	13	57	by	by	ADP
ejpam-4743	13	58	tikhonov	tikhonov	NOUN
ejpam-4743	13	59	[	[	X
ejpam-4743	13	60	22	22	NUM
ejpam-4743	13	61	]	]	PUNCT
ejpam-4743	13	62	,	,	PUNCT
ejpam-4743	13	63	lavrent’ev	lavrent’ev	PROPN
ejpam-4743	14	1	[	[	X
ejpam-4743	14	2	16	16	NUM
ejpam-4743	14	3	]	]	PUNCT
ejpam-4743	14	4	,	,	PUNCT
ejpam-4743	14	5	ivanov	ivanov	PROPN
ejpam-4743	14	6	[	[	X
ejpam-4743	14	7	10	10	NUM
ejpam-4743	14	8	]	]	PUNCT
ejpam-4743	14	9	,	,	PUNCT
ejpam-4743	14	10	romanov	romanov	PROPN
ejpam-4743	15	1	[	[	X
ejpam-4743	15	2	21	21	NUM
ejpam-4743	15	3	]	]	PUNCT
ejpam-4743	15	4	,	,	PUNCT
ejpam-4743	15	5	isakov	isakov	X
ejpam-4743	15	6	[	[	X
ejpam-4743	15	7	6	6	NUM
ejpam-4743	15	8	]	]	PUNCT
ejpam-4743	15	9	,	,	PUNCT
ejpam-4743	15	10	and	and	CCONJ
ejpam-4743	15	11	so	so	ADV
ejpam-4743	15	12	on	on	ADV
ejpam-4743	15	13	.	.	PUNCT
ejpam-4743	16	1	∗corresponding	∗corresponde	VERB
ejpam-4743	16	2	author	author	NOUN
ejpam-4743	16	3	.	.	PUNCT
ejpam-4743	17	1	doi	doi	NOUN
ejpam-4743	17	2	:	:	PUNCT
ejpam-4743	17	3	https://doi.org/10.29020/nybg.ejpam.v16i2.4743	https://doi.org/10.29020/nybg.ejpam.v16i2.4743	PROPN
ejpam-4743	17	4	email	email	NOUN
ejpam-4743	17	5	addresses	address	NOUN
ejpam-4743	17	6	:	:	PUNCT
ejpam-4743	17	7	aysel.ramazanova@uni-due.de	aysel.ramazanova@uni-due.de	NUM
ejpam-4743	17	8	(	(	PUNCT
ejpam-4743	17	9	a.ramazanova	a.ramazanova	X
ejpam-4743	17	10	)	)	PUNCT
ejpam-4743	17	11	,	,	PUNCT
ejpam-4743	17	12	yasharaze@mail.ru	yasharaze@mail.ru	PROPN
ejpam-4743	17	13	(	(	PUNCT
ejpam-4743	17	14	y.	y.	PROPN
ejpam-4743	17	15	t.	t.	PROPN
ejpam-4743	17	16	mehraliyev	mehraliyev	PROPN
ejpam-4743	17	17	)	)	PUNCT
ejpam-4743	17	18	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4743	18	1	670	670	NUM
ejpam-4743	18	2	©	©	PROPN
ejpam-4743	18	3	2023	2023	NUM
ejpam-4743	18	4	ejpam	ejpam	NOUN
ejpam-4743	18	5	all	all	DET
ejpam-4743	18	6	rights	right	NOUN
ejpam-4743	18	7	reserved	reserve	VERB
ejpam-4743	18	8	.	.	PUNCT
ejpam-4743	19	1	y.	y.	PROPN
ejpam-4743	19	2	t.	t.	PROPN
ejpam-4743	19	3	mehraliyev	mehraliyev	PROPN
ejpam-4743	19	4	,	,	PUNCT
ejpam-4743	19	5	s.	s.	PROPN
ejpam-4743	19	6	r.shafi	r.shafi	PROPN
ejpam-4743	19	7	,	,	PUNCT
ejpam-4743	19	8	a.	a.	NOUN
ejpam-4743	19	9	t.	t.	PROPN
ejpam-4743	19	10	ramazanova	ramazanova	PROPN
ejpam-4743	19	11	/	/	SYM
ejpam-4743	19	12	eur	eur	PROPN
ejpam-4743	19	13	.	.	PUNCT
ejpam-4743	20	1	j.	j.	PROPN
ejpam-4743	20	2	pure	pure	PROPN
ejpam-4743	20	3	appl	appl	PROPN
ejpam-4743	20	4	.	.	PROPN
ejpam-4743	20	5	math	math	PROPN
ejpam-4743	20	6	,	,	PUNCT
ejpam-4743	20	7	16	16	NUM
ejpam-4743	20	8	(	(	PUNCT
ejpam-4743	20	9	2	2	NUM
ejpam-4743	20	10	)	)	PUNCT
ejpam-4743	20	11	(	(	PUNCT
ejpam-4743	20	12	2023	2023	NUM
ejpam-4743	20	13	)	)	PUNCT
ejpam-4743	20	14	,	,	PUNCT
ejpam-4743	20	15	670	670	NUM
ejpam-4743	20	16	-	-	SYM
ejpam-4743	20	17	686	686	NUM
ejpam-4743	20	18	671	671	NUM
ejpam-4743	20	19	a	a	DET
ejpam-4743	20	20	more	more	ADV
ejpam-4743	20	21	detailed	detailed	ADJ
ejpam-4743	20	22	bibliography	bibliography	NOUN
ejpam-4743	20	23	and	and	CCONJ
ejpam-4743	20	24	a	a	DET
ejpam-4743	20	25	classification	classification	NOUN
ejpam-4743	20	26	of	of	ADP
ejpam-4743	20	27	recent	recent	ADJ
ejpam-4743	20	28	works	work	NOUN
ejpam-4743	20	29	connected	connect	VERB
ejpam-4743	20	30	with	with	ADP
ejpam-4743	20	31	the	the	DET
ejpam-4743	20	32	investigation	investigation	NOUN
ejpam-4743	20	33	of	of	ADP
ejpam-4743	20	34	inverse	inverse	NOUN
ejpam-4743	20	35	problems	problem	NOUN
ejpam-4743	20	36	for	for	ADP
ejpam-4743	20	37	partial	partial	ADJ
ejpam-4743	20	38	differential	differential	ADJ
ejpam-4743	20	39	equations	equation	NOUN
ejpam-4743	20	40	can	can	AUX
ejpam-4743	20	41	be	be	AUX
ejpam-4743	20	42	found	find	VERB
ejpam-4743	20	43	in	in	ADP
ejpam-4743	20	44	monographs	monograph	NOUN
ejpam-4743	20	45	and	and	CCONJ
ejpam-4743	20	46	in	in	ADP
ejpam-4743	20	47	articles	article	NOUN
ejpam-4743	20	48	[	[	X
ejpam-4743	20	49	2	2	NUM
ejpam-4743	20	50	,	,	PUNCT
ejpam-4743	20	51	3	3	NUM
ejpam-4743	20	52	,	,	PUNCT
ejpam-4743	20	53	5	5	NUM
ejpam-4743	20	54	,	,	PUNCT
ejpam-4743	20	55	7–9	7–9	NUM
ejpam-4743	20	56	,	,	PUNCT
ejpam-4743	20	57	11	11	NUM
ejpam-4743	20	58	,	,	PUNCT
ejpam-4743	20	59	13	13	NUM
ejpam-4743	20	60	,	,	PUNCT
ejpam-4743	20	61	20	20	NUM
ejpam-4743	20	62	]	]	PUNCT
ejpam-4743	20	63	and	and	CCONJ
ejpam-4743	20	64	references	reference	NOUN
ejpam-4743	20	65	therein	therein	ADV
ejpam-4743	20	66	.	.	PUNCT
ejpam-4743	21	1	it	it	PRON
ejpam-4743	21	2	should	should	AUX
ejpam-4743	21	3	be	be	AUX
ejpam-4743	21	4	noted	note	VERB
ejpam-4743	21	5	that	that	SCONJ
ejpam-4743	21	6	pseudo	pseudo	NOUN
ejpam-4743	21	7	-	-	ADJ
ejpam-4743	21	8	hyperbolic	hyperbolic	ADJ
ejpam-4743	21	9	equations	equation	NOUN
ejpam-4743	21	10	arise	arise	VERB
ejpam-4743	21	11	in	in	ADP
ejpam-4743	21	12	the	the	DET
ejpam-4743	21	13	theory	theory	NOUN
ejpam-4743	21	14	of	of	ADP
ejpam-4743	21	15	unsteady	unsteady	ADJ
ejpam-4743	21	16	flow	flow	NOUN
ejpam-4743	21	17	of	of	ADP
ejpam-4743	21	18	a	a	DET
ejpam-4743	21	19	viscous	viscous	ADJ
ejpam-4743	21	20	gas	gas	NOUN
ejpam-4743	21	21	during	during	ADP
ejpam-4743	21	22	the	the	DET
ejpam-4743	21	23	propagation	propagation	NOUN
ejpam-4743	21	24	of	of	ADP
ejpam-4743	21	25	initial	initial	ADJ
ejpam-4743	21	26	densifications	densification	NOUN
ejpam-4743	21	27	in	in	ADP
ejpam-4743	21	28	a	a	DET
ejpam-4743	21	29	viscous	viscous	ADJ
ejpam-4743	21	30	gas	gas	NOUN
ejpam-4743	22	1	[	[	X
ejpam-4743	22	2	23	23	NUM
ejpam-4743	22	3	]	]	PUNCT
ejpam-4743	22	4	,	,	PUNCT
ejpam-4743	22	5	in	in	ADP
ejpam-4743	22	6	the	the	DET
ejpam-4743	22	7	theory	theory	NOUN
ejpam-4743	22	8	of	of	ADP
ejpam-4743	22	9	solutions	solution	NOUN
ejpam-4743	22	10	[	[	X
ejpam-4743	22	11	17	17	NUM
ejpam-4743	22	12	]	]	PUNCT
ejpam-4743	22	13	when	when	SCONJ
ejpam-4743	22	14	describing	describe	VERB
ejpam-4743	22	15	the	the	DET
ejpam-4743	22	16	process	process	NOUN
ejpam-4743	22	17	of	of	ADP
ejpam-4743	22	18	electron	electron	NOUN
ejpam-4743	22	19	motion	motion	NOUN
ejpam-4743	22	20	in	in	ADP
ejpam-4743	22	21	the	the	DET
ejpam-4743	22	22	system	system	NOUN
ejpam-4743	22	23	“	"	PUNCT
ejpam-4743	22	24	superconductor	superconductor	NOUN
ejpam-4743	22	25	–	–	PUNCT
ejpam-4743	22	26	dielectric	dielectric	NOUN
ejpam-4743	22	27	with	with	ADP
ejpam-4743	22	28	tunneling	tunneling	NOUN
ejpam-4743	22	29	conductivity	conductivity	NOUN
ejpam-4743	22	30	–	–	PUNCT
ejpam-4743	22	31	superconductor	superconductor	NOUN
ejpam-4743	22	32	”	"	PUNCT
ejpam-4743	22	33	.	.	PUNCT
ejpam-4743	23	1	the	the	DET
ejpam-4743	23	2	solvability	solvability	NOUN
ejpam-4743	23	3	of	of	ADP
ejpam-4743	23	4	inverse	inverse	NOUN
ejpam-4743	23	5	problems	problem	NOUN
ejpam-4743	23	6	in	in	ADP
ejpam-4743	23	7	certain	certain	ADJ
ejpam-4743	23	8	formulations	formulation	NOUN
ejpam-4743	23	9	,	,	PUNCT
ejpam-4743	23	10	with	with	ADP
ejpam-4743	23	11	certain	certain	ADJ
ejpam-4743	23	12	overdetermination	overdetermination	NOUN
ejpam-4743	23	13	conditions	condition	NOUN
ejpam-4743	23	14	for	for	ADP
ejpam-4743	23	15	pseudohyperbolic	pseudohyperbolic	ADJ
ejpam-4743	23	16	equations	equation	NOUN
ejpam-4743	23	17	,	,	PUNCT
ejpam-4743	23	18	was	be	AUX
ejpam-4743	23	19	the	the	DET
ejpam-4743	23	20	subject	subject	NOUN
ejpam-4743	23	21	of	of	ADP
ejpam-4743	23	22	study	study	NOUN
ejpam-4743	23	23	in	in	ADP
ejpam-4743	23	24	[	[	X
ejpam-4743	23	25	1	1	NUM
ejpam-4743	23	26	,	,	PUNCT
ejpam-4743	23	27	4	4	NUM
ejpam-4743	23	28	,	,	PUNCT
ejpam-4743	23	29	14	14	NUM
ejpam-4743	23	30	,	,	PUNCT
ejpam-4743	23	31	15	15	NUM
ejpam-4743	23	32	,	,	PUNCT
ejpam-4743	23	33	18	18	NUM
ejpam-4743	23	34	,	,	PUNCT
ejpam-4743	23	35	19	19	NUM
ejpam-4743	23	36	]	]	PUNCT
ejpam-4743	23	37	and	and	CCONJ
ejpam-4743	23	38	references	reference	NOUN
ejpam-4743	23	39	therein	therein	ADV
ejpam-4743	23	40	.	.	PUNCT
ejpam-4743	24	1	in	in	ADP
ejpam-4743	24	2	this	this	DET
ejpam-4743	24	3	work	work	NOUN
ejpam-4743	24	4	we	we	PRON
ejpam-4743	24	5	study	study	VERB
ejpam-4743	24	6	a	a	DET
ejpam-4743	24	7	two	two	NUM
ejpam-4743	24	8	-	-	PUNCT
ejpam-4743	24	9	dimensional	dimensional	ADJ
ejpam-4743	24	10	inverse	inverse	NOUN
ejpam-4743	24	11	boundary	boundary	ADJ
ejpam-4743	24	12	value	value	NOUN
ejpam-4743	24	13	problem	problem	NOUN
ejpam-4743	24	14	for	for	ADP
ejpam-4743	24	15	a	a	DET
ejpam-4743	24	16	thirdorder	thirdorder	NOUN
ejpam-4743	24	17	pseudo	pseudo	NOUN
ejpam-4743	24	18	-	-	ADJ
ejpam-4743	24	19	hyperbolic	hyperbolic	ADJ
ejpam-4743	24	20	equation	equation	NOUN
ejpam-4743	24	21	with	with	ADP
ejpam-4743	24	22	an	an	DET
ejpam-4743	24	23	additional	additional	ADJ
ejpam-4743	24	24	integral	integral	ADJ
ejpam-4743	24	25	condition	condition	NOUN
ejpam-4743	24	26	.	.	PUNCT
ejpam-4743	25	1	in	in	ADP
ejpam-4743	25	2	the	the	DET
ejpam-4743	25	3	paper	paper	NOUN
ejpam-4743	25	4	using	use	VERB
ejpam-4743	25	5	the	the	DET
ejpam-4743	25	6	fourier	fourier	ADJ
ejpam-4743	25	7	method	method	NOUN
ejpam-4743	25	8	and	and	CCONJ
ejpam-4743	25	9	the	the	DET
ejpam-4743	25	10	contraction	contraction	NOUN
ejpam-4743	25	11	mappings	mapping	NOUN
ejpam-4743	25	12	principle	principle	NOUN
ejpam-4743	25	13	,	,	PUNCT
ejpam-4743	25	14	the	the	DET
ejpam-4743	25	15	existence	existence	NOUN
ejpam-4743	25	16	and	and	CCONJ
ejpam-4743	25	17	uniqueness	uniqueness	NOUN
ejpam-4743	25	18	of	of	ADP
ejpam-4743	25	19	a	a	DET
ejpam-4743	25	20	classical	classical	ADJ
ejpam-4743	25	21	solution	solution	NOUN
ejpam-4743	25	22	to	to	ADP
ejpam-4743	25	23	the	the	DET
ejpam-4743	25	24	considered	consider	VERB
ejpam-4743	25	25	nonlinear	nonlinear	ADJ
ejpam-4743	25	26	inverse	inverse	NOUN
ejpam-4743	25	27	boundary	boundary	ADJ
ejpam-4743	25	28	value	value	NOUN
ejpam-4743	25	29	problem	problem	NOUN
ejpam-4743	25	30	is	be	AUX
ejpam-4743	25	31	proved	prove	VERB
ejpam-4743	25	32	.	.	PUNCT
ejpam-4743	26	1	consider	consider	VERB
ejpam-4743	26	2	for	for	ADP
ejpam-4743	26	3	the	the	DET
ejpam-4743	26	4	equation	equation	NOUN
ejpam-4743	26	5	utt(x	utt(x	PROPN
ejpam-4743	26	6	,	,	PUNCT
ejpam-4743	26	7	y	y	PROPN
ejpam-4743	26	8	,	,	PUNCT
ejpam-4743	26	9	t)−	t)−	PROPN
ejpam-4743	26	10	α∆ut(x	α∆ut(x	PROPN
ejpam-4743	26	11	,	,	PUNCT
ejpam-4743	26	12	y	y	PROPN
ejpam-4743	26	13	,	,	PUNCT
ejpam-4743	26	14	t)−	t)−	PROPN
ejpam-4743	26	15	β∆u(x	β∆u(x	PROPN
ejpam-4743	26	16	,	,	PUNCT
ejpam-4743	26	17	y	y	PROPN
ejpam-4743	26	18	,	,	PUNCT
ejpam-4743	26	19	t	t	PROPN
ejpam-4743	26	20	)	)	PUNCT
ejpam-4743	26	21	=	=	PUNCT
ejpam-4743	27	1	a(t)u(x	a(t)u(x	NOUN
ejpam-4743	27	2	,	,	PUNCT
ejpam-4743	27	3	y	y	PROPN
ejpam-4743	27	4	,	,	PUNCT
ejpam-4743	27	5	t	t	PROPN
ejpam-4743	27	6	)	)	PUNCT
ejpam-4743	27	7	+	+	CCONJ
ejpam-4743	27	8	f(x	f(x	PROPN
ejpam-4743	27	9	,	,	PUNCT
ejpam-4743	27	10	y	y	PROPN
ejpam-4743	27	11	,	,	PUNCT
ejpam-4743	27	12	t	t	PROPN
ejpam-4743	27	13	)	)	PUNCT
ejpam-4743	27	14	(	(	PUNCT
ejpam-4743	27	15	x	x	X
ejpam-4743	27	16	,	,	PUNCT
ejpam-4743	27	17	y	y	PROPN
ejpam-4743	27	18	,	,	PUNCT
ejpam-4743	27	19	t	t	PROPN
ejpam-4743	27	20	)	)	PUNCT
ejpam-4743	27	21	∈	∈	PROPN
ejpam-4743	27	22	dt	dt	X
ejpam-4743	27	23	,	,	PUNCT
ejpam-4743	27	24	(	(	PUNCT
ejpam-4743	27	25	1	1	X
ejpam-4743	27	26	)	)	PUNCT
ejpam-4743	27	27	in	in	ADP
ejpam-4743	27	28	the	the	DET
ejpam-4743	27	29	domain	domain	NOUN
ejpam-4743	27	30	dt	dt	X
ejpam-4743	27	31	=	=	SYM
ejpam-4743	27	32	qxy	qxy	PROPN
ejpam-4743	27	33	×	×	PROPN
ejpam-4743	27	34	{	{	PUNCT
ejpam-4743	27	35	0	0	NUM
ejpam-4743	27	36	<	<	X
ejpam-4743	27	37	t	t	X
ejpam-4743	27	38	≤	≤	X
ejpam-4743	27	39	t	t	PROPN
ejpam-4743	27	40	}	}	PUNCT
ejpam-4743	27	41	,	,	PUNCT
ejpam-4743	27	42	where	where	SCONJ
ejpam-4743	27	43	qxy	qxy	PROPN
ejpam-4743	27	44	=	=	SYM
ejpam-4743	27	45	{	{	PUNCT
ejpam-4743	27	46	(	(	PUNCT
ejpam-4743	27	47	x	x	NOUN
ejpam-4743	27	48	,	,	PUNCT
ejpam-4743	27	49	y	y	PROPN
ejpam-4743	27	50	)	)	PUNCT
ejpam-4743	27	51	:	:	PUNCT
ejpam-4743	27	52	0	0	PUNCT
ejpam-4743	27	53	<	<	X
ejpam-4743	27	54	x	x	X
ejpam-4743	27	55	<	<	X
ejpam-4743	27	56	1	1	NUM
ejpam-4743	27	57	,	,	PUNCT
ejpam-4743	27	58	0	0	PUNCT
ejpam-4743	27	59	<	<	X
ejpam-4743	27	60	y	y	X
ejpam-4743	27	61	<	<	X
ejpam-4743	27	62	1	1	NUM
ejpam-4743	27	63	}	}	PUNCT
ejpam-4743	27	64	an	an	DET
ejpam-4743	27	65	inverse	inverse	ADJ
ejpam-4743	27	66	boundary	boundary	ADJ
ejpam-4743	27	67	problem	problem	NOUN
ejpam-4743	27	68	with	with	ADP
ejpam-4743	27	69	initial	initial	ADJ
ejpam-4743	27	70	conditions	condition	NOUN
ejpam-4743	27	71	u(x	u(x	NOUN
ejpam-4743	27	72	,	,	PUNCT
ejpam-4743	27	73	y	y	NOUN
ejpam-4743	27	74	,	,	PUNCT
ejpam-4743	27	75	0	0	NUM
ejpam-4743	27	76	)	)	PUNCT
ejpam-4743	27	77	=	=	PUNCT
ejpam-4743	28	1	ϕ(x	ϕ(x	PROPN
ejpam-4743	28	2	,	,	PUNCT
ejpam-4743	28	3	y	y	NOUN
ejpam-4743	28	4	)	)	PUNCT
ejpam-4743	28	5	,	,	PUNCT
ejpam-4743	28	6	ut(x	ut(x	NOUN
ejpam-4743	28	7	,	,	PUNCT
ejpam-4743	28	8	y	y	NOUN
ejpam-4743	28	9	,	,	PUNCT
ejpam-4743	28	10	0	0	NUM
ejpam-4743	28	11	)	)	PUNCT
ejpam-4743	28	12	=	=	SYM
ejpam-4743	28	13	ψ(x	ψ(x	PROPN
ejpam-4743	28	14	,	,	PUNCT
ejpam-4743	28	15	y	y	PROPN
ejpam-4743	28	16	)	)	PUNCT
ejpam-4743	28	17	,	,	PUNCT
ejpam-4743	28	18	0	0	NUM
ejpam-4743	28	19	≤	≤	NUM
ejpam-4743	28	20	x	x	X
ejpam-4743	28	21	,	,	PUNCT
ejpam-4743	28	22	y	y	PROPN
ejpam-4743	28	23	≤	≤	PROPN
ejpam-4743	28	24	1	1	NUM
ejpam-4743	28	25	,	,	PUNCT
ejpam-4743	28	26	(	(	PUNCT
ejpam-4743	28	27	2	2	NUM
ejpam-4743	28	28	)	)	PUNCT
ejpam-4743	28	29	with	with	ADP
ejpam-4743	28	30	boundary	boundary	ADJ
ejpam-4743	28	31	conditions	condition	NOUN
ejpam-4743	28	32	ux(0	ux(0	PROPN
ejpam-4743	28	33	,	,	PUNCT
ejpam-4743	28	34	y	y	PROPN
ejpam-4743	28	35	,	,	PUNCT
ejpam-4743	28	36	t	t	PROPN
ejpam-4743	28	37	)	)	PUNCT
ejpam-4743	28	38	=	=	SYM
ejpam-4743	29	1	u(1	u(1	PROPN
ejpam-4743	29	2	,	,	PUNCT
ejpam-4743	29	3	y	y	PROPN
ejpam-4743	29	4	,	,	PUNCT
ejpam-4743	29	5	t	t	PROPN
ejpam-4743	29	6	)	)	PUNCT
ejpam-4743	29	7	=	=	SYM
ejpam-4743	29	8	0	0	NUM
ejpam-4743	29	9	,	,	PUNCT
ejpam-4743	29	10	0	0	NUM
ejpam-4743	29	11	≤	≤	NUM
ejpam-4743	29	12	y	y	SYM
ejpam-4743	29	13	≤	≤	NUM
ejpam-4743	29	14	1	1	NUM
ejpam-4743	29	15	,	,	PUNCT
ejpam-4743	29	16	0	0	NUM
ejpam-4743	29	17	≤	≤	NUM
ejpam-4743	29	18	t	t	PROPN
ejpam-4743	29	19	≤	≤	PROPN
ejpam-4743	29	20	t	t	PROPN
ejpam-4743	29	21	,	,	PUNCT
ejpam-4743	29	22	(	(	PUNCT
ejpam-4743	29	23	3	3	X
ejpam-4743	29	24	)	)	PUNCT
ejpam-4743	29	25	u(x	u(x	NOUN
ejpam-4743	29	26	,	,	PUNCT
ejpam-4743	29	27	0	0	NUM
ejpam-4743	29	28	,	,	PUNCT
ejpam-4743	29	29	t	t	PROPN
ejpam-4743	29	30	)	)	PUNCT
ejpam-4743	29	31	=	=	PUNCT
ejpam-4743	29	32	uy(x	uy(x	X
ejpam-4743	29	33	,	,	PUNCT
ejpam-4743	29	34	1	1	NUM
ejpam-4743	29	35	,	,	PUNCT
ejpam-4743	29	36	t	t	PROPN
ejpam-4743	29	37	)	)	PUNCT
ejpam-4743	29	38	=	=	SYM
ejpam-4743	29	39	0	0	NUM
ejpam-4743	29	40	,	,	PUNCT
ejpam-4743	29	41	0	0	NUM
ejpam-4743	29	42	≤	≤	NUM
ejpam-4743	29	43	y	y	SYM
ejpam-4743	29	44	≤	≤	NUM
ejpam-4743	29	45	1	1	NUM
ejpam-4743	29	46	,	,	PUNCT
ejpam-4743	29	47	0	0	NUM
ejpam-4743	29	48	≤	≤	NUM
ejpam-4743	29	49	t	t	PROPN
ejpam-4743	29	50	≤	≤	PROPN
ejpam-4743	29	51	t	t	PROPN
ejpam-4743	29	52	,	,	PUNCT
ejpam-4743	29	53	(	(	PUNCT
ejpam-4743	29	54	4	4	NUM
ejpam-4743	29	55	)	)	PUNCT
ejpam-4743	29	56	and	and	CCONJ
ejpam-4743	29	57	with	with	ADP
ejpam-4743	29	58	additional	additional	ADJ
ejpam-4743	29	59	condition	condition	NOUN
ejpam-4743	30	1	1∫	1∫	NUM
ejpam-4743	30	2	0	0	NUM
ejpam-4743	30	3	1∫	1∫	NUM
ejpam-4743	30	4	0	0	NUM
ejpam-4743	30	5	ω(x	ω(x	NOUN
ejpam-4743	30	6	,	,	PUNCT
ejpam-4743	30	7	y)u(x	y)u(x	NOUN
ejpam-4743	30	8	,	,	PUNCT
ejpam-4743	30	9	y	y	PROPN
ejpam-4743	30	10	,	,	PUNCT
ejpam-4743	30	11	t)dxdy	t)dxdy	X
ejpam-4743	30	12	=	=	PUNCT
ejpam-4743	30	13	h(t	h(t	PROPN
ejpam-4743	30	14	)	)	PUNCT
ejpam-4743	30	15	,	,	PUNCT
ejpam-4743	30	16	0	0	NUM
ejpam-4743	30	17	≤	≤	NUM
ejpam-4743	30	18	t	t	PROPN
ejpam-4743	30	19	≤	≤	PROPN
ejpam-4743	30	20	t	t	PROPN
ejpam-4743	30	21	,	,	PUNCT
ejpam-4743	30	22	(	(	PUNCT
ejpam-4743	30	23	5	5	NUM
ejpam-4743	30	24	)	)	PUNCT
ejpam-4743	30	25	where	where	SCONJ
ejpam-4743	30	26	α	α	X
ejpam-4743	30	27	,	,	PUNCT
ejpam-4743	30	28	β	β	X
ejpam-4743	30	29	>	>	X
ejpam-4743	30	30	0	0	NUM
ejpam-4743	30	31	are	be	AUX
ejpam-4743	30	32	given	give	VERB
ejpam-4743	30	33	numbers	number	NOUN
ejpam-4743	30	34	,	,	PUNCT
ejpam-4743	30	35	f(x	f(x	PROPN
ejpam-4743	30	36	,	,	PUNCT
ejpam-4743	30	37	y	y	PROPN
ejpam-4743	30	38	,	,	PUNCT
ejpam-4743	30	39	t	t	PROPN
ejpam-4743	30	40	)	)	PUNCT
ejpam-4743	30	41	,	,	PUNCT
ejpam-4743	30	42	ϕ(x	ϕ(x	PROPN
ejpam-4743	30	43	,	,	PUNCT
ejpam-4743	30	44	y	y	NOUN
ejpam-4743	30	45	)	)	PUNCT
ejpam-4743	30	46	,	,	PUNCT
ejpam-4743	30	47	ψ(x	ψ(x	PROPN
ejpam-4743	30	48	,	,	PUNCT
ejpam-4743	30	49	y	y	PROPN
ejpam-4743	30	50	)	)	PUNCT
ejpam-4743	30	51	,	,	PUNCT
ejpam-4743	30	52	ω(x	ω(x	PROPN
ejpam-4743	30	53	,	,	PUNCT
ejpam-4743	30	54	y	y	NOUN
ejpam-4743	30	55	)	)	PUNCT
ejpam-4743	30	56	,	,	PUNCT
ejpam-4743	30	57	and	and	CCONJ
ejpam-4743	30	58	h(t	h(t	NUM
ejpam-4743	30	59	)	)	PUNCT
ejpam-4743	30	60	(	(	PUNCT
ejpam-4743	30	61	i	i	NOUN
ejpam-4743	30	62	=	=	NOUN
ejpam-4743	30	63	1	1	NUM
ejpam-4743	30	64	,	,	PUNCT
ejpam-4743	30	65	2	2	NUM
ejpam-4743	30	66	)	)	PUNCT
ejpam-4743	30	67	are	be	AUX
ejpam-4743	30	68	given	give	VERB
ejpam-4743	30	69	functions	function	NOUN
ejpam-4743	30	70	,	,	PUNCT
ejpam-4743	30	71	u(x	u(x	PROPN
ejpam-4743	30	72	,	,	PUNCT
ejpam-4743	30	73	y	y	PROPN
ejpam-4743	30	74	,	,	PUNCT
ejpam-4743	30	75	t	t	PROPN
ejpam-4743	30	76	)	)	PUNCT
ejpam-4743	30	77	,	,	PUNCT
ejpam-4743	30	78	a(t	a(t	NOUN
ejpam-4743	30	79	)	)	PUNCT
ejpam-4743	30	80	are	be	AUX
ejpam-4743	30	81	desired	desire	VERB
ejpam-4743	30	82	functions	function	NOUN
ejpam-4743	30	83	,	,	PUNCT
ejpam-4743	30	84	and	and	CCONJ
ejpam-4743	30	85	∆	∆	PROPN
ejpam-4743	30	86	=	=	SYM
ejpam-4743	30	87	∂2	∂2	PROPN
ejpam-4743	30	88	∂x2	∂x2	NOUN
ejpam-4743	30	89	+	+	CCONJ
ejpam-4743	30	90	∂2	∂2	PROPN
ejpam-4743	30	91	∂y2	∂y2	NOUN
ejpam-4743	30	92	.	.	PUNCT
ejpam-4743	31	1	definition	definition	NOUN
ejpam-4743	31	2	1	1	NUM
ejpam-4743	31	3	.	.	PUNCT
ejpam-4743	32	1	the	the	DET
ejpam-4743	32	2	pair	pair	NOUN
ejpam-4743	32	3	{	{	PUNCT
ejpam-4743	32	4	u(x	u(x	PROPN
ejpam-4743	32	5	,	,	PUNCT
ejpam-4743	32	6	y	y	PROPN
ejpam-4743	32	7	,	,	PUNCT
ejpam-4743	32	8	t	t	PROPN
ejpam-4743	32	9	)	)	PUNCT
ejpam-4743	32	10	,	,	PUNCT
ejpam-4743	32	11	a(t	a(t	NOUN
ejpam-4743	32	12	)	)	PUNCT
ejpam-4743	32	13	}	}	PUNCT
ejpam-4743	32	14	is	be	AUX
ejpam-4743	32	15	said	say	VERB
ejpam-4743	32	16	to	to	PART
ejpam-4743	32	17	be	be	AUX
ejpam-4743	32	18	a	a	DET
ejpam-4743	32	19	classical	classical	ADJ
ejpam-4743	32	20	solution	solution	NOUN
ejpam-4743	32	21	of	of	ADP
ejpam-4743	32	22	the	the	DET
ejpam-4743	32	23	inverse	inverse	NOUN
ejpam-4743	32	24	boundary	boundary	NOUN
ejpam-4743	32	25	value	value	NOUN
ejpam-4743	32	26	problem	problem	NOUN
ejpam-4743	32	27	(	(	PUNCT
ejpam-4743	32	28	1)-(5	1)-(5	NUM
ejpam-4743	32	29	)	)	PUNCT
ejpam-4743	32	30	,	,	PUNCT
ejpam-4743	32	31	if	if	SCONJ
ejpam-4743	32	32	the	the	DET
ejpam-4743	32	33	following	follow	VERB
ejpam-4743	32	34	conditions	condition	NOUN
ejpam-4743	32	35	are	be	AUX
ejpam-4743	32	36	satisfied	satisfied	ADJ
ejpam-4743	32	37	:	:	PUNCT
ejpam-4743	32	38	the	the	DET
ejpam-4743	32	39	function	function	NOUN
ejpam-4743	32	40	u(x	u(x	VERB
ejpam-4743	32	41	,	,	PUNCT
ejpam-4743	32	42	y	y	PROPN
ejpam-4743	32	43	,	,	PUNCT
ejpam-4743	32	44	t	t	PROPN
ejpam-4743	32	45	)	)	PUNCT
ejpam-4743	32	46	∈	∈	PROPN
ejpam-4743	32	47	c̃2,2,2(dt	c̃2,2,2(dt	PROPN
ejpam-4743	32	48	)	)	PUNCT
ejpam-4743	32	49	∩c1,1,1(dt	∩c1,1,1(dt	PROPN
ejpam-4743	32	50	)	)	PUNCT
ejpam-4743	32	51	,	,	PUNCT
ejpam-4743	32	52	a(t	a(t	NOUN
ejpam-4743	32	53	)	)	PUNCT
ejpam-4743	32	54	∈	∈	PROPN
ejpam-4743	32	55	c[0	c[0	PROPN
ejpam-4743	32	56	,	,	PUNCT
ejpam-4743	32	57	t	t	X
ejpam-4743	32	58	]	]	PUNCT
ejpam-4743	32	59	,	,	PUNCT
ejpam-4743	32	60	satisfying	satisfy	VERB
ejpam-4743	32	61	equation	equation	NOUN
ejpam-4743	32	62	(	(	PUNCT
ejpam-4743	32	63	1	1	NUM
ejpam-4743	32	64	)	)	PUNCT
ejpam-4743	32	65	in	in	ADP
ejpam-4743	32	66	dt	dt	PROPN
ejpam-4743	32	67	,	,	PUNCT
ejpam-4743	32	68	condition	condition	NOUN
ejpam-4743	32	69	(	(	PUNCT
ejpam-4743	32	70	2	2	NUM
ejpam-4743	32	71	)	)	PUNCT
ejpam-4743	32	72	in	in	ADP
ejpam-4743	32	73	q̄xy	q̄xy	NOUN
ejpam-4743	32	74	,	,	PUNCT
ejpam-4743	32	75	condition	condition	NOUN
ejpam-4743	32	76	(	(	PUNCT
ejpam-4743	32	77	3	3	NUM
ejpam-4743	32	78	)	)	PUNCT
ejpam-4743	32	79	in	in	ADP
ejpam-4743	32	80	[	[	X
ejpam-4743	32	81	0	0	NUM
ejpam-4743	32	82	,	,	PUNCT
ejpam-4743	32	83	1	1	NUM
ejpam-4743	32	84	]	]	SYM
ejpam-4743	32	85	×	×	NOUN
ejpam-4743	33	1	[	[	X
ejpam-4743	33	2	0	0	NUM
ejpam-4743	33	3	,	,	PUNCT
ejpam-4743	33	4	t	t	X
ejpam-4743	33	5	]	]	PUNCT
ejpam-4743	33	6	,	,	PUNCT
ejpam-4743	33	7	condition	condition	NOUN
ejpam-4743	33	8	(	(	PUNCT
ejpam-4743	33	9	4	4	NUM
ejpam-4743	33	10	)	)	PUNCT
ejpam-4743	33	11	in	in	ADP
ejpam-4743	33	12	[	[	X
ejpam-4743	33	13	0	0	NUM
ejpam-4743	33	14	,	,	PUNCT
ejpam-4743	33	15	1	1	NUM
ejpam-4743	33	16	]	]	SYM
ejpam-4743	33	17	×	×	NOUN
ejpam-4743	33	18	[	[	X
ejpam-4743	33	19	0	0	NUM
ejpam-4743	33	20	,	,	PUNCT
ejpam-4743	33	21	t	t	NOUN
ejpam-4743	33	22	]	]	PUNCT
ejpam-4743	33	23	and	and	CCONJ
ejpam-4743	33	24	condition	condition	NOUN
ejpam-4743	33	25	(	(	PUNCT
ejpam-4743	33	26	5	5	NUM
ejpam-4743	33	27	)	)	PUNCT
ejpam-4743	33	28	in	in	ADP
ejpam-4743	33	29	[	[	X
ejpam-4743	33	30	0	0	NUM
ejpam-4743	33	31	,	,	PUNCT
ejpam-4743	33	32	t	t	NOUN
ejpam-4743	33	33	]	]	PUNCT
ejpam-4743	33	34	.	.	PUNCT
ejpam-4743	34	1	the	the	DET
ejpam-4743	34	2	following	follow	VERB
ejpam-4743	34	3	theorem	theorem	ADJ
ejpam-4743	34	4	holds	hold	NOUN
ejpam-4743	34	5	:	:	PUNCT
ejpam-4743	34	6	y.	y.	PROPN
ejpam-4743	34	7	t.	t.	PROPN
ejpam-4743	34	8	mehraliyev	mehraliyev	PROPN
ejpam-4743	34	9	,	,	PUNCT
ejpam-4743	34	10	s.	s.	PROPN
ejpam-4743	34	11	r.shafi	r.shafi	PROPN
ejpam-4743	34	12	,	,	PUNCT
ejpam-4743	34	13	a.	a.	NOUN
ejpam-4743	34	14	t.	t.	PROPN
ejpam-4743	34	15	ramazanova	ramazanova	PROPN
ejpam-4743	34	16	/	/	SYM
ejpam-4743	34	17	eur	eur	PROPN
ejpam-4743	34	18	.	.	PUNCT
ejpam-4743	35	1	j.	j.	PROPN
ejpam-4743	35	2	pure	pure	PROPN
ejpam-4743	35	3	appl	appl	PROPN
ejpam-4743	35	4	.	.	PROPN
ejpam-4743	35	5	math	math	PROPN
ejpam-4743	35	6	,	,	PUNCT
ejpam-4743	35	7	16	16	NUM
ejpam-4743	35	8	(	(	PUNCT
ejpam-4743	35	9	2	2	NUM
ejpam-4743	35	10	)	)	PUNCT
ejpam-4743	35	11	(	(	PUNCT
ejpam-4743	35	12	2023	2023	NUM
ejpam-4743	35	13	)	)	PUNCT
ejpam-4743	35	14	,	,	PUNCT
ejpam-4743	35	15	670	670	NUM
ejpam-4743	35	16	-	-	SYM
ejpam-4743	35	17	686	686	NUM
ejpam-4743	35	18	672	672	NUM
ejpam-4743	35	19	theorem	theorem	NOUN
ejpam-4743	35	20	1	1	NUM
ejpam-4743	35	21	.	.	PUNCT
ejpam-4743	36	1	let	let	VERB
ejpam-4743	36	2	ϕ(x	ϕ(x	PROPN
ejpam-4743	36	3	,	,	PUNCT
ejpam-4743	36	4	y	y	NOUN
ejpam-4743	36	5	)	)	PUNCT
ejpam-4743	36	6	∈	∈	PROPN
ejpam-4743	36	7	c(q̄xy	c(q̄xy	NOUN
ejpam-4743	36	8	)	)	PUNCT
ejpam-4743	36	9	,	,	PUNCT
ejpam-4743	36	10	ψ(x	ψ(x	PROPN
ejpam-4743	36	11	,	,	PUNCT
ejpam-4743	36	12	y	y	NOUN
ejpam-4743	36	13	)	)	PUNCT
ejpam-4743	36	14	∈	∈	PROPN
ejpam-4743	36	15	c(q̄xy	c(q̄xy	NOUN
ejpam-4743	36	16	)	)	PUNCT
ejpam-4743	36	17	,	,	PUNCT
ejpam-4743	36	18	f(x	f(x	PROPN
ejpam-4743	36	19	,	,	PUNCT
ejpam-4743	36	20	y	y	PROPN
ejpam-4743	36	21	,	,	PUNCT
ejpam-4743	36	22	t	t	PROPN
ejpam-4743	36	23	)	)	PUNCT
ejpam-4743	36	24	∈	∈	PROPN
ejpam-4743	36	25	c(dt	c(dt	PROPN
ejpam-4743	36	26	)	)	PUNCT
ejpam-4743	36	27	,	,	PUNCT
ejpam-4743	37	1	h(t	h(t	PROPN
ejpam-4743	37	2	)	)	PUNCT
ejpam-4743	37	3	∈	∈	PROPN
ejpam-4743	37	4	c2[0	c2[0	PROPN
ejpam-4743	37	5	,	,	PUNCT
ejpam-4743	37	6	t	t	X
ejpam-4743	37	7	]	]	PUNCT
ejpam-4743	37	8	,	,	PUNCT
ejpam-4743	37	9	h(t	h(t	PROPN
ejpam-4743	37	10	)	)	PUNCT
ejpam-4743	37	11	̸=	̸=	PROPN
ejpam-4743	37	12	0	0	NUM
ejpam-4743	37	13	,	,	PUNCT
ejpam-4743	37	14	0	0	NUM
ejpam-4743	37	15	≤	≤	NUM
ejpam-4743	37	16	t	t	PROPN
ejpam-4743	37	17	≤	≤	X
ejpam-4743	37	18	t	t	PROPN
ejpam-4743	37	19	and	and	CCONJ
ejpam-4743	37	20	the	the	DET
ejpam-4743	37	21	consistency	consistency	NOUN
ejpam-4743	37	22	condition	condition	NOUN
ejpam-4743	38	1	1∫	1∫	NUM
ejpam-4743	38	2	0	0	NUM
ejpam-4743	38	3	1∫	1∫	NUM
ejpam-4743	38	4	0	0	NUM
ejpam-4743	38	5	ω(x	ω(x	NOUN
ejpam-4743	38	6	,	,	PUNCT
ejpam-4743	38	7	y)ϕ(x	y)ϕ(x	PRON
ejpam-4743	38	8	,	,	PUNCT
ejpam-4743	38	9	y)dxdy	y)dxdy	X
ejpam-4743	39	1	=	=	PUNCT
ejpam-4743	39	2	h(0	h(0	PROPN
ejpam-4743	39	3	)	)	PUNCT
ejpam-4743	39	4	,	,	PUNCT
ejpam-4743	39	5	1∫	1∫	NUM
ejpam-4743	39	6	0	0	NUM
ejpam-4743	39	7	1∫	1∫	NUM
ejpam-4743	39	8	0	0	NUM
ejpam-4743	39	9	ω(x	ω(x	NOUN
ejpam-4743	39	10	,	,	PUNCT
ejpam-4743	39	11	y)ψ(x	y)ψ(x	NOUN
ejpam-4743	39	12	,	,	PUNCT
ejpam-4743	39	13	y)dxdy	y)dxdy	X
ejpam-4743	39	14	=	=	PUNCT
ejpam-4743	39	15	h′(0	h′(0	PROPN
ejpam-4743	39	16	)	)	PUNCT
ejpam-4743	39	17	(	(	PUNCT
ejpam-4743	39	18	6	6	X
ejpam-4743	39	19	)	)	PUNCT
ejpam-4743	39	20	be	be	AUX
ejpam-4743	39	21	satisfied	satisfied	ADJ
ejpam-4743	39	22	.	.	PUNCT
ejpam-4743	40	1	then	then	ADV
ejpam-4743	40	2	the	the	DET
ejpam-4743	40	3	problem	problem	NOUN
ejpam-4743	40	4	of	of	ADP
ejpam-4743	40	5	finding	find	VERB
ejpam-4743	40	6	a	a	DET
ejpam-4743	40	7	classical	classical	ADJ
ejpam-4743	40	8	solution	solution	NOUN
ejpam-4743	40	9	to	to	ADP
ejpam-4743	40	10	problem	problem	NOUN
ejpam-4743	40	11	(	(	PUNCT
ejpam-4743	40	12	1)-(5	1)-(5	NUM
ejpam-4743	40	13	)	)	PUNCT
ejpam-4743	40	14	is	be	AUX
ejpam-4743	40	15	equivalent	equivalent	ADJ
ejpam-4743	40	16	to	to	ADP
ejpam-4743	40	17	the	the	DET
ejpam-4743	40	18	problem	problem	NOUN
ejpam-4743	40	19	of	of	ADP
ejpam-4743	40	20	determining	determine	VERB
ejpam-4743	40	21	the	the	DET
ejpam-4743	40	22	functions	function	NOUN
ejpam-4743	40	23	u(x	u(x	NOUN
ejpam-4743	40	24	,	,	PUNCT
ejpam-4743	40	25	y	y	PROPN
ejpam-4743	40	26	,	,	PUNCT
ejpam-4743	40	27	t	t	PROPN
ejpam-4743	40	28	)	)	PUNCT
ejpam-4743	40	29	∈	∈	PROPN
ejpam-4743	40	30	c̃2,2,2(d̄t	c̃2,2,2(d̄t	NOUN
ejpam-4743	40	31	)	)	PUNCT
ejpam-4743	40	32	,	,	PUNCT
ejpam-4743	40	33	a(t	a(t	NOUN
ejpam-4743	40	34	)	)	PUNCT
ejpam-4743	40	35	∈	∈	PROPN
ejpam-4743	40	36	c[0	c[0	PROPN
ejpam-4743	40	37	,	,	PUNCT
ejpam-4743	40	38	t	t	X
ejpam-4743	40	39	]	]	PUNCT
ejpam-4743	40	40	from	from	ADP
ejpam-4743	40	41	(	(	PUNCT
ejpam-4743	40	42	1)-(4	1)-(4	NUM
ejpam-4743	40	43	)	)	PUNCT
ejpam-4743	40	44	and	and	CCONJ
ejpam-4743	40	45	h′′(t)−	h′′(t)−	PROPN
ejpam-4743	40	46	α	α	PRON
ejpam-4743	41	1	1∫	1∫	NUM
ejpam-4743	41	2	0	0	NUM
ejpam-4743	42	1	1∫	1∫	NUM
ejpam-4743	42	2	0	0	NUM
ejpam-4743	42	3	ω(x	ω(x	NOUN
ejpam-4743	42	4	,	,	PUNCT
ejpam-4743	42	5	y)∆ut(x	y)∆ut(x	PROPN
ejpam-4743	42	6	,	,	PUNCT
ejpam-4743	42	7	y	y	PROPN
ejpam-4743	42	8	,	,	PUNCT
ejpam-4743	42	9	t)dxdt−	t)dxdt−	ADV
ejpam-4743	42	10	β	β	VERB
ejpam-4743	42	11	1∫	1∫	NUM
ejpam-4743	42	12	0	0	NUM
ejpam-4743	43	1	1∫	1∫	NUM
ejpam-4743	43	2	0	0	NUM
ejpam-4743	43	3	ω(x	ω(x	NOUN
ejpam-4743	43	4	,	,	PUNCT
ejpam-4743	43	5	y)∆u(x	y)∆u(x	PROPN
ejpam-4743	43	6	,	,	PUNCT
ejpam-4743	43	7	y	y	PROPN
ejpam-4743	43	8	,	,	PUNCT
ejpam-4743	43	9	t)dxdt	t)dxdt	NOUN
ejpam-4743	43	10	=	=	SYM
ejpam-4743	43	11	=	=	NOUN
ejpam-4743	43	12	a(t)h(t	a(t)h(t	X
ejpam-4743	43	13	)	)	PUNCT
ejpam-4743	43	14	+	+	CCONJ
ejpam-4743	44	1	1∫	1∫	NUM
ejpam-4743	44	2	0	0	NUM
ejpam-4743	44	3	1∫	1∫	NUM
ejpam-4743	44	4	0	0	NUM
ejpam-4743	44	5	ω(x	ω(x	NOUN
ejpam-4743	44	6	,	,	PUNCT
ejpam-4743	44	7	t)f(x	t)f(x	PROPN
ejpam-4743	44	8	,	,	PUNCT
ejpam-4743	44	9	y	y	PROPN
ejpam-4743	44	10	,	,	PUNCT
ejpam-4743	44	11	t)dxdy	t)dxdy	X
ejpam-4743	44	12	(	(	PUNCT
ejpam-4743	44	13	0	0	NUM
ejpam-4743	44	14	≤	≤	PROPN
ejpam-4743	44	15	t	t	PROPN
ejpam-4743	44	16	≤	≤	PROPN
ejpam-4743	44	17	t	t	PROPN
ejpam-4743	44	18	)	)	PUNCT
ejpam-4743	44	19	.	.	PUNCT
ejpam-4743	45	1	(	(	PUNCT
ejpam-4743	45	2	7	7	X
ejpam-4743	45	3	)	)	PUNCT
ejpam-4743	45	4	proof	proof	NOUN
ejpam-4743	45	5	.	.	PUNCT
ejpam-4743	46	1	let	let	VERB
ejpam-4743	46	2	{	{	PUNCT
ejpam-4743	46	3	u(x	u(x	PROPN
ejpam-4743	46	4	,	,	PUNCT
ejpam-4743	46	5	y	y	PROPN
ejpam-4743	46	6	,	,	PUNCT
ejpam-4743	46	7	t	t	PROPN
ejpam-4743	46	8	)	)	PUNCT
ejpam-4743	46	9	,	,	PUNCT
ejpam-4743	46	10	a(t	a(t	NOUN
ejpam-4743	46	11	)	)	PUNCT
ejpam-4743	46	12	}	}	PUNCT
ejpam-4743	46	13	be	be	AUX
ejpam-4743	46	14	a	a	DET
ejpam-4743	46	15	classical	classical	ADJ
ejpam-4743	46	16	solution	solution	NOUN
ejpam-4743	46	17	to	to	ADP
ejpam-4743	46	18	problem	problem	NOUN
ejpam-4743	46	19	(	(	PUNCT
ejpam-4743	46	20	1)-(5	1)-(5	NUM
ejpam-4743	46	21	)	)	PUNCT
ejpam-4743	46	22	,	,	PUNCT
ejpam-4743	46	23	and	and	CCONJ
ejpam-4743	46	24	u(x	u(x	PROPN
ejpam-4743	46	25	,	,	PUNCT
ejpam-4743	46	26	y	y	PROPN
ejpam-4743	46	27	,	,	PUNCT
ejpam-4743	46	28	t	t	PROPN
ejpam-4743	46	29	)	)	PUNCT
ejpam-4743	46	30	∈	∈	PROPN
ejpam-4743	46	31	c̃2,2,2(d̄t	c̃2,2,2(d̄t	NOUN
ejpam-4743	46	32	)	)	PUNCT
ejpam-4743	46	33	.	.	PUNCT
ejpam-4743	47	1	assuming	assume	VERB
ejpam-4743	47	2	h(t	h(t	PROPN
ejpam-4743	47	3	)	)	PUNCT
ejpam-4743	47	4	∈	∈	PROPN
ejpam-4743	47	5	c2[0	c2[0	PROPN
ejpam-4743	47	6	,	,	PUNCT
ejpam-4743	47	7	t	t	X
ejpam-4743	47	8	]	]	PUNCT
ejpam-4743	47	9	and	and	CCONJ
ejpam-4743	47	10	differentiating	differentiate	VERB
ejpam-4743	47	11	two	two	NUM
ejpam-4743	47	12	times	time	NOUN
ejpam-4743	47	13	(	(	PUNCT
ejpam-4743	47	14	5	5	NUM
ejpam-4743	47	15	)	)	PUNCT
ejpam-4743	47	16	,	,	PUNCT
ejpam-4743	47	17	we	we	PRON
ejpam-4743	47	18	get	get	VERB
ejpam-4743	47	19	:	:	PUNCT
ejpam-4743	47	20	ut(0	ut(0	PROPN
ejpam-4743	47	21	,	,	PUNCT
ejpam-4743	47	22	1	1	NUM
ejpam-4743	47	23	,	,	PUNCT
ejpam-4743	47	24	t	t	PROPN
ejpam-4743	47	25	)	)	PUNCT
ejpam-4743	47	26	=	=	SYM
ejpam-4743	48	1	h′(t	h′(t	VERB
ejpam-4743	48	2	)	)	PUNCT
ejpam-4743	48	3	,	,	PUNCT
ejpam-4743	48	4	utt(0	utt(0	ADJ
ejpam-4743	48	5	,	,	PUNCT
ejpam-4743	48	6	1	1	NUM
ejpam-4743	48	7	,	,	PUNCT
ejpam-4743	48	8	t	t	PROPN
ejpam-4743	48	9	)	)	PUNCT
ejpam-4743	48	10	=	=	SYM
ejpam-4743	48	11	h′′(t	h′′(t	NOUN
ejpam-4743	48	12	)	)	PUNCT
ejpam-4743	48	13	(	(	PUNCT
ejpam-4743	48	14	0	0	NUM
ejpam-4743	48	15	≤	≤	NUM
ejpam-4743	48	16	t	t	NOUN
ejpam-4743	48	17	≤	≤	PROPN
ejpam-4743	48	18	t	t	PROPN
ejpam-4743	48	19	)	)	PUNCT
ejpam-4743	48	20	.	.	PUNCT
ejpam-4743	49	1	(	(	PUNCT
ejpam-4743	49	2	8)	8)	NUM
ejpam-4743	49	3	further	far	ADV
ejpam-4743	49	4	,	,	PUNCT
ejpam-4743	49	5	multiplying	multiply	VERB
ejpam-4743	49	6	eq	eq	ADP
ejpam-4743	49	7	.	.	PUNCT
ejpam-4743	50	1	(	(	PUNCT
ejpam-4743	50	2	1	1	NUM
ejpam-4743	50	3	)	)	PUNCT
ejpam-4743	50	4	by	by	ADP
ejpam-4743	50	5	the	the	DET
ejpam-4743	50	6	function	function	NOUN
ejpam-4743	50	7	ω(x	ω(x	PROPN
ejpam-4743	50	8	,	,	PUNCT
ejpam-4743	50	9	y	y	NOUN
ejpam-4743	50	10	)	)	PUNCT
ejpam-4743	50	11	,	,	PUNCT
ejpam-4743	50	12	integrating	integrate	VERB
ejpam-4743	50	13	the	the	DET
ejpam-4743	50	14	equation	equation	NOUN
ejpam-4743	50	15	over	over	ADP
ejpam-4743	50	16	x	x	PUNCT
ejpam-4743	50	17	from	from	ADP
ejpam-4743	50	18	0	0	NUM
ejpam-4743	50	19	to	to	ADP
ejpam-4743	50	20	1	1	NUM
ejpam-4743	50	21	,	,	PUNCT
ejpam-4743	50	22	we	we	PRON
ejpam-4743	50	23	have	have	VERB
ejpam-4743	50	24	:	:	PUNCT
ejpam-4743	51	1	d2	d2	PROPN
ejpam-4743	51	2	dt2	dt2	PROPN
ejpam-4743	51	3	1∫	1∫	NUM
ejpam-4743	51	4	0	0	NUM
ejpam-4743	52	1	1∫	1∫	NUM
ejpam-4743	52	2	0	0	NUM
ejpam-4743	52	3	ω(x	ω(x	NOUN
ejpam-4743	52	4	,	,	PUNCT
ejpam-4743	52	5	y)u(x	y)u(x	NOUN
ejpam-4743	52	6	,	,	PUNCT
ejpam-4743	52	7	y	y	PROPN
ejpam-4743	52	8	,	,	PUNCT
ejpam-4743	52	9	t)dxdy	t)dxdy	NOUN
ejpam-4743	52	10	−	−	PROPN
ejpam-4743	53	1	α	α	X
ejpam-4743	54	1	1∫	1∫	NUM
ejpam-4743	54	2	0	0	NUM
ejpam-4743	55	1	1∫	1∫	NUM
ejpam-4743	55	2	0	0	NUM
ejpam-4743	55	3	ω(x	ω(x	NOUN
ejpam-4743	55	4	,	,	PUNCT
ejpam-4743	55	5	y)∆ut(x	y)∆ut(x	PROPN
ejpam-4743	55	6	,	,	PUNCT
ejpam-4743	55	7	y	y	PROPN
ejpam-4743	55	8	,	,	PUNCT
ejpam-4743	55	9	t)dxdy−	t)dxdy−	VERB
ejpam-4743	55	10	−β	−β	PROPN
ejpam-4743	55	11	1∫	1∫	NUM
ejpam-4743	55	12	0	0	NUM
ejpam-4743	56	1	1∫	1∫	NUM
ejpam-4743	56	2	0	0	NUM
ejpam-4743	56	3	ω(x	ω(x	NOUN
ejpam-4743	56	4	,	,	PUNCT
ejpam-4743	56	5	y)∆u(x	y)∆u(x	PROPN
ejpam-4743	56	6	,	,	PUNCT
ejpam-4743	56	7	y	y	PROPN
ejpam-4743	56	8	,	,	PUNCT
ejpam-4743	56	9	t)dxdy	t)dxdy	X
ejpam-4743	56	10	=	=	PUNCT
ejpam-4743	56	11	=	=	SYM
ejpam-4743	56	12	a(t	a(t	NOUN
ejpam-4743	56	13	)	)	PUNCT
ejpam-4743	57	1	1∫	1∫	NUM
ejpam-4743	57	2	0	0	NUM
ejpam-4743	58	1	1∫	1∫	NUM
ejpam-4743	58	2	0	0	NUM
ejpam-4743	58	3	ω(x	ω(x	NOUN
ejpam-4743	58	4	,	,	PUNCT
ejpam-4743	58	5	y)u(x	y)u(x	NOUN
ejpam-4743	58	6	,	,	PUNCT
ejpam-4743	58	7	y	y	PROPN
ejpam-4743	58	8	,	,	PUNCT
ejpam-4743	58	9	t)dxdy	t)dxdy	X
ejpam-4743	59	1	+	+	CCONJ
ejpam-4743	60	1	1∫	1∫	NUM
ejpam-4743	60	2	0	0	NUM
ejpam-4743	60	3	1∫	1∫	NUM
ejpam-4743	60	4	0	0	NUM
ejpam-4743	60	5	ω(x	ω(x	NOUN
ejpam-4743	60	6	,	,	PUNCT
ejpam-4743	60	7	y)f(x	y)f(x	PROPN
ejpam-4743	60	8	,	,	PUNCT
ejpam-4743	60	9	y	y	PROPN
ejpam-4743	60	10	,	,	PUNCT
ejpam-4743	60	11	t)dxdy	t)dxdy	X
ejpam-4743	60	12	(	(	PUNCT
ejpam-4743	60	13	0	0	NUM
ejpam-4743	60	14	≤	≤	PROPN
ejpam-4743	60	15	t	t	PROPN
ejpam-4743	60	16	≤	≤	PROPN
ejpam-4743	60	17	t	t	PROPN
ejpam-4743	60	18	)	)	PUNCT
ejpam-4743	60	19	.	.	PUNCT
ejpam-4743	61	1	(	(	PUNCT
ejpam-4743	61	2	9	9	X
ejpam-4743	61	3	)	)	PUNCT
ejpam-4743	61	4	from	from	ADP
ejpam-4743	61	5	(	(	PUNCT
ejpam-4743	61	6	9	9	NUM
ejpam-4743	61	7	)	)	PUNCT
ejpam-4743	61	8	,	,	PUNCT
ejpam-4743	61	9	taking	take	VERB
ejpam-4743	61	10	into	into	ADP
ejpam-4743	61	11	account	account	NOUN
ejpam-4743	61	12	(	(	PUNCT
ejpam-4743	61	13	5	5	NUM
ejpam-4743	61	14	)	)	PUNCT
ejpam-4743	61	15	and	and	CCONJ
ejpam-4743	61	16	(	(	PUNCT
ejpam-4743	61	17	8)	8)	NUM
ejpam-4743	61	18	,	,	PUNCT
ejpam-4743	61	19	the	the	DET
ejpam-4743	61	20	fulfillment	fulfillment	NOUN
ejpam-4743	61	21	of	of	ADP
ejpam-4743	61	22	(	(	PUNCT
ejpam-4743	61	23	7	7	X
ejpam-4743	61	24	)	)	PUNCT
ejpam-4743	61	25	follows	follow	VERB
ejpam-4743	61	26	.	.	PUNCT
ejpam-4743	62	1	now	now	ADV
ejpam-4743	62	2	,	,	PUNCT
ejpam-4743	62	3	suppose	suppose	VERB
ejpam-4743	62	4	that	that	SCONJ
ejpam-4743	62	5	{	{	PUNCT
ejpam-4743	62	6	u(x	u(x	PROPN
ejpam-4743	62	7	,	,	PUNCT
ejpam-4743	62	8	y	y	PROPN
ejpam-4743	62	9	,	,	PUNCT
ejpam-4743	62	10	t	t	PROPN
ejpam-4743	62	11	)	)	PUNCT
ejpam-4743	62	12	,	,	PUNCT
ejpam-4743	62	13	a(t	a(t	NOUN
ejpam-4743	62	14	)	)	PUNCT
ejpam-4743	62	15	}	}	PUNCT
ejpam-4743	62	16	is	be	AUX
ejpam-4743	62	17	a	a	DET
ejpam-4743	62	18	solution	solution	NOUN
ejpam-4743	62	19	to	to	ADP
ejpam-4743	62	20	the	the	DET
ejpam-4743	62	21	problem	problem	NOUN
ejpam-4743	62	22	(	(	PUNCT
ejpam-4743	62	23	1)-(4	1)-(4	NUM
ejpam-4743	62	24	)	)	PUNCT
ejpam-4743	62	25	,	,	PUNCT
ejpam-4743	62	26	(	(	PUNCT
ejpam-4743	62	27	7	7	NUM
ejpam-4743	62	28	)	)	PUNCT
ejpam-4743	62	29	.	.	PUNCT
ejpam-4743	63	1	then	then	ADV
ejpam-4743	63	2	from	from	ADP
ejpam-4743	63	3	(	(	PUNCT
ejpam-4743	63	4	7	7	NUM
ejpam-4743	63	5	)	)	PUNCT
ejpam-4743	63	6	and	and	CCONJ
ejpam-4743	63	7	(	(	PUNCT
ejpam-4743	63	8	9	9	X
ejpam-4743	63	9	)	)	PUNCT
ejpam-4743	63	10	we	we	PRON
ejpam-4743	63	11	find	find	VERB
ejpam-4743	63	12	:	:	PUNCT
ejpam-4743	63	13	d2	d2	PROPN
ejpam-4743	63	14	dt2	dt2	PROPN
ejpam-4743	64	1			PROPN
ejpam-4743	64	2	1∫	1∫	NUM
ejpam-4743	64	3	0	0	NUM
ejpam-4743	65	1	1∫	1∫	NUM
ejpam-4743	65	2	0	0	NUM
ejpam-4743	65	3	ω(x	ω(x	NOUN
ejpam-4743	65	4	,	,	PUNCT
ejpam-4743	65	5	y)u(x	y)u(x	NOUN
ejpam-4743	65	6	,	,	PUNCT
ejpam-4743	65	7	y	y	PROPN
ejpam-4743	65	8	,	,	PUNCT
ejpam-4743	65	9	t)dxdy	t)dxdy	NOUN
ejpam-4743	65	10	−	−	PROPN
ejpam-4743	65	11	h(t	h(t	NUM
ejpam-4743	65	12	)	)	PUNCT
ejpam-4743	66	1			PROPN
ejpam-4743	66	2	=	=	SYM
ejpam-4743	66	3	y.	y.	PROPN
ejpam-4743	66	4	t.	t.	PROPN
ejpam-4743	66	5	mehraliyev	mehraliyev	PROPN
ejpam-4743	66	6	,	,	PUNCT
ejpam-4743	66	7	s.	s.	PROPN
ejpam-4743	66	8	r.shafi	r.shafi	PROPN
ejpam-4743	66	9	,	,	PUNCT
ejpam-4743	66	10	a.	a.	NOUN
ejpam-4743	66	11	t.	t.	PROPN
ejpam-4743	66	12	ramazanova	ramazanova	PROPN
ejpam-4743	66	13	/	/	SYM
ejpam-4743	66	14	eur	eur	PROPN
ejpam-4743	66	15	.	.	PUNCT
ejpam-4743	67	1	j.	j.	PROPN
ejpam-4743	67	2	pure	pure	PROPN
ejpam-4743	67	3	appl	appl	PROPN
ejpam-4743	67	4	.	.	PROPN
ejpam-4743	67	5	math	math	PROPN
ejpam-4743	67	6	,	,	PUNCT
ejpam-4743	67	7	16	16	NUM
ejpam-4743	67	8	(	(	PUNCT
ejpam-4743	67	9	2	2	NUM
ejpam-4743	67	10	)	)	PUNCT
ejpam-4743	67	11	(	(	PUNCT
ejpam-4743	67	12	2023	2023	NUM
ejpam-4743	67	13	)	)	PUNCT
ejpam-4743	67	14	,	,	PUNCT
ejpam-4743	67	15	670	670	NUM
ejpam-4743	67	16	-	-	SYM
ejpam-4743	67	17	686	686	NUM
ejpam-4743	67	18	673	673	NUM
ejpam-4743	67	19	=	=	SYM
ejpam-4743	67	20	a(t	a(t	NOUN
ejpam-4743	67	21	)	)	PUNCT
ejpam-4743	68	1			PROPN
ejpam-4743	68	2	1∫	1∫	NUM
ejpam-4743	68	3	0	0	NUM
ejpam-4743	69	1	1∫	1∫	NUM
ejpam-4743	69	2	0	0	NUM
ejpam-4743	69	3	ω(x	ω(x	NOUN
ejpam-4743	69	4	,	,	PUNCT
ejpam-4743	69	5	y)u(x	y)u(x	NOUN
ejpam-4743	69	6	,	,	PUNCT
ejpam-4743	69	7	y	y	PROPN
ejpam-4743	69	8	,	,	PUNCT
ejpam-4743	69	9	t)dxdy	t)dxdy	NOUN
ejpam-4743	69	10	−	−	PROPN
ejpam-4743	69	11	h(t	h(t	PROPN
ejpam-4743	69	12	)	)	PUNCT
ejpam-4743	69	13			PROPN
ejpam-4743	69	14	(	(	PUNCT
ejpam-4743	69	15	0	0	NUM
ejpam-4743	69	16	≤	≤	PROPN
ejpam-4743	69	17	t	t	NOUN
ejpam-4743	69	18	≤	≤	PROPN
ejpam-4743	69	19	t	t	PROPN
ejpam-4743	69	20	)	)	PUNCT
ejpam-4743	69	21	.	.	PUNCT
ejpam-4743	70	1	(	(	PUNCT
ejpam-4743	70	2	10	10	NUM
ejpam-4743	70	3	)	)	PUNCT
ejpam-4743	70	4	due	due	ADP
ejpam-4743	70	5	to	to	ADP
ejpam-4743	70	6	(	(	PUNCT
ejpam-4743	70	7	2	2	NUM
ejpam-4743	70	8	)	)	PUNCT
ejpam-4743	70	9	and	and	CCONJ
ejpam-4743	70	10	(	(	PUNCT
ejpam-4743	70	11	6	6	NUM
ejpam-4743	70	12	)	)	PUNCT
ejpam-4743	70	13	,	,	PUNCT
ejpam-4743	70	14	we	we	PRON
ejpam-4743	70	15	have	have	VERB
ejpam-4743	70	16	:	:	PUNCT
ejpam-4743	71	1	1∫	1∫	NUM
ejpam-4743	71	2	0	0	NUM
ejpam-4743	71	3	1∫	1∫	NUM
ejpam-4743	71	4	0	0	NUM
ejpam-4743	71	5	ω(x	ω(x	NOUN
ejpam-4743	71	6	,	,	PUNCT
ejpam-4743	71	7	y)u(x	y)u(x	NOUN
ejpam-4743	71	8	,	,	PUNCT
ejpam-4743	71	9	y	y	PROPN
ejpam-4743	71	10	,	,	PUNCT
ejpam-4743	71	11	0)dxdy	0)dxdy	X
ejpam-4743	71	12	−	−	PROPN
ejpam-4743	71	13	h(0	h(0	PROPN
ejpam-4743	71	14	)	)	PUNCT
ejpam-4743	71	15	=	=	PUNCT
ejpam-4743	72	1	1∫	1∫	NUM
ejpam-4743	72	2	0	0	NUM
ejpam-4743	73	1	1∫	1∫	NUM
ejpam-4743	73	2	0	0	NUM
ejpam-4743	73	3	ω(x	ω(x	NOUN
ejpam-4743	73	4	,	,	PUNCT
ejpam-4743	73	5	y)ϕ(x	y)ϕ(x	PRON
ejpam-4743	73	6	,	,	PUNCT
ejpam-4743	73	7	y)dxdy	y)dxdy	X
ejpam-4743	74	1	−	−	PROPN
ejpam-4743	74	2	h(0	h(0	PROPN
ejpam-4743	74	3	)	)	PUNCT
ejpam-4743	75	1	=	=	SYM
ejpam-4743	75	2	0	0	NUM
ejpam-4743	75	3	,	,	PUNCT
ejpam-4743	75	4	1∫	1∫	NUM
ejpam-4743	75	5	0	0	NUM
ejpam-4743	76	1	1∫	1∫	NUM
ejpam-4743	76	2	0	0	NUM
ejpam-4743	76	3	ω(x	ω(x	NOUN
ejpam-4743	76	4	,	,	PUNCT
ejpam-4743	76	5	y)ut(x	y)ut(x	PROPN
ejpam-4743	76	6	,	,	PUNCT
ejpam-4743	76	7	y	y	PROPN
ejpam-4743	76	8	,	,	PUNCT
ejpam-4743	76	9	0)dxdy	0)dxdy	X
ejpam-4743	77	1	−	−	PROPN
ejpam-4743	77	2	h′(0	h′(0	NOUN
ejpam-4743	77	3	)	)	PUNCT
ejpam-4743	77	4	=	=	PUNCT
ejpam-4743	78	1	1∫	1∫	NUM
ejpam-4743	78	2	0	0	NUM
ejpam-4743	79	1	1∫	1∫	NUM
ejpam-4743	79	2	0	0	NUM
ejpam-4743	79	3	ω(x	ω(x	NOUN
ejpam-4743	79	4	,	,	PUNCT
ejpam-4743	79	5	y)ψ(x	y)ψ(x	NOUN
ejpam-4743	79	6	,	,	PUNCT
ejpam-4743	79	7	y)dxdy	y)dxdy	NOUN
ejpam-4743	80	1	−	−	NOUN
ejpam-4743	80	2	h′(0	h′(0	NOUN
ejpam-4743	80	3	)	)	PUNCT
ejpam-4743	80	4	=	=	SYM
ejpam-4743	80	5	0	0	X
ejpam-4743	80	6	.	.	PUNCT
ejpam-4743	81	1	(	(	PUNCT
ejpam-4743	81	2	11	11	NUM
ejpam-4743	81	3	)	)	PUNCT
ejpam-4743	81	4	from	from	ADP
ejpam-4743	81	5	(	(	PUNCT
ejpam-4743	81	6	10	10	NUM
ejpam-4743	81	7	)	)	PUNCT
ejpam-4743	81	8	,	,	PUNCT
ejpam-4743	81	9	(	(	PUNCT
ejpam-4743	81	10	11	11	X
ejpam-4743	81	11	)	)	PUNCT
ejpam-4743	81	12	we	we	PRON
ejpam-4743	81	13	conclude	conclude	VERB
ejpam-4743	81	14	that	that	SCONJ
ejpam-4743	81	15	1∫	1∫	NUM
ejpam-4743	81	16	0	0	NUM
ejpam-4743	81	17	1∫	1∫	NUM
ejpam-4743	81	18	0	0	NUM
ejpam-4743	81	19	ω(x	ω(x	NOUN
ejpam-4743	81	20	,	,	PUNCT
ejpam-4743	81	21	y)u(x	y)u(x	NOUN
ejpam-4743	81	22	,	,	PUNCT
ejpam-4743	81	23	y	y	PROPN
ejpam-4743	81	24	,	,	PUNCT
ejpam-4743	81	25	t)dxdy	t)dxdy	NOUN
ejpam-4743	81	26	−	−	PROPN
ejpam-4743	81	27	h(t	h(t	PROPN
ejpam-4743	81	28	)	)	PUNCT
ejpam-4743	82	1	=	=	SYM
ejpam-4743	82	2	0	0	PUNCT
ejpam-4743	82	3	(	(	PUNCT
ejpam-4743	82	4	0	0	NUM
ejpam-4743	82	5	≤	≤	PROPN
ejpam-4743	82	6	t	t	PROPN
ejpam-4743	82	7	≤	≤	PROPN
ejpam-4743	82	8	t	t	PROPN
ejpam-4743	82	9	)	)	PUNCT
ejpam-4743	82	10	,	,	PUNCT
ejpam-4743	82	11	i.e.	i.e.	X
ejpam-4743	82	12	condition	condition	NOUN
ejpam-4743	82	13	(	(	PUNCT
ejpam-4743	82	14	5	5	NUM
ejpam-4743	82	15	)	)	PUNCT
ejpam-4743	82	16	is	be	AUX
ejpam-4743	82	17	satisfied	satisfied	ADJ
ejpam-4743	82	18	.	.	PUNCT
ejpam-4743	83	1	2	2	X
ejpam-4743	83	2	.	.	X
ejpam-4743	83	3	solvability	solvability	NOUN
ejpam-4743	83	4	of	of	ADP
ejpam-4743	83	5	the	the	DET
ejpam-4743	83	6	existence	existence	NOUN
ejpam-4743	83	7	and	and	CCONJ
ejpam-4743	83	8	uniqueness	uniqueness	NOUN
ejpam-4743	83	9	of	of	ADP
ejpam-4743	83	10	the	the	DET
ejpam-4743	83	11	classical	classical	ADJ
ejpam-4743	83	12	solution	solution	NOUN
ejpam-4743	83	13	of	of	ADP
ejpam-4743	83	14	the	the	DET
ejpam-4743	83	15	inverse	inverse	NOUN
ejpam-4743	83	16	boundary	boundary	NOUN
ejpam-4743	83	17	value	value	NOUN
ejpam-4743	83	18	problem	problem	NOUN
ejpam-4743	83	19	the	the	DET
ejpam-4743	83	20	first	first	ADJ
ejpam-4743	83	21	component	component	NOUN
ejpam-4743	83	22	of	of	ADP
ejpam-4743	83	23	the	the	DET
ejpam-4743	83	24	solution	solution	NOUN
ejpam-4743	83	25	{	{	PUNCT
ejpam-4743	83	26	u(x	u(x	PROPN
ejpam-4743	83	27	,	,	PUNCT
ejpam-4743	83	28	y	y	PROPN
ejpam-4743	83	29	,	,	PUNCT
ejpam-4743	83	30	t	t	PROPN
ejpam-4743	83	31	)	)	PUNCT
ejpam-4743	83	32	,	,	PUNCT
ejpam-4743	83	33	a(t	a(t	NOUN
ejpam-4743	83	34	)	)	PUNCT
ejpam-4743	83	35	}	}	PUNCT
ejpam-4743	83	36	of	of	ADP
ejpam-4743	83	37	the	the	DET
ejpam-4743	83	38	problem	problem	NOUN
ejpam-4743	83	39	(	(	PUNCT
ejpam-4743	83	40	1)-	1)-	NOUN
ejpam-4743	83	41	(	(	PUNCT
ejpam-4743	83	42	4	4	NUM
ejpam-4743	83	43	)	)	PUNCT
ejpam-4743	83	44	,	,	PUNCT
ejpam-4743	83	45	(	(	PUNCT
ejpam-4743	83	46	7	7	X
ejpam-4743	83	47	)	)	PUNCT
ejpam-4743	83	48	will	will	AUX
ejpam-4743	83	49	be	be	AUX
ejpam-4743	83	50	sought	seek	VERB
ejpam-4743	83	51	in	in	ADP
ejpam-4743	83	52	the	the	DET
ejpam-4743	83	53	form	form	NOUN
ejpam-4743	83	54	:	:	PUNCT
ejpam-4743	83	55	u(x	u(x	PROPN
ejpam-4743	83	56	,	,	PUNCT
ejpam-4743	83	57	y	y	PROPN
ejpam-4743	83	58	,	,	PUNCT
ejpam-4743	83	59	t	t	PROPN
ejpam-4743	83	60	)	)	PUNCT
ejpam-4743	83	61	=	=	NOUN
ejpam-4743	84	1	∞∑	∞∑	NUM
ejpam-4743	84	2	n=1	n=1	ADP
ejpam-4743	84	3	∞∑	∞∑	ADJ
ejpam-4743	84	4	k=1	k=1	PROPN
ejpam-4743	84	5	uk	uk	PROPN
ejpam-4743	84	6	,	,	PUNCT
ejpam-4743	84	7	n(t	n(t	PROPN
ejpam-4743	84	8	)	)	PUNCT
ejpam-4743	84	9	cosλkx	cosλkx	PROPN
ejpam-4743	84	10	sin	sin	NOUN
ejpam-4743	84	11	γny	γny	PROPN
ejpam-4743	84	12	,	,	PUNCT
ejpam-4743	84	13	(	(	PUNCT
ejpam-4743	84	14	12	12	NUM
ejpam-4743	84	15	)	)	PUNCT
ejpam-4743	84	16	where	where	SCONJ
ejpam-4743	84	17	λk	λk	ADV
ejpam-4743	84	18	=	=	SYM
ejpam-4743	84	19	π	π	SYM
ejpam-4743	84	20	2	2	NUM
ejpam-4743	84	21	(	(	PUNCT
ejpam-4743	84	22	2k	2k	NOUN
ejpam-4743	84	23	−	−	NOUN
ejpam-4743	84	24	1	1	NUM
ejpam-4743	84	25	)	)	PUNCT
ejpam-4743	84	26	,	,	PUNCT
ejpam-4743	84	27	k	k	PROPN
ejpam-4743	84	28	=	=	SYM
ejpam-4743	84	29	1	1	NUM
ejpam-4743	84	30	,	,	PUNCT
ejpam-4743	84	31	2	2	NUM
ejpam-4743	84	32	,	,	PUNCT
ejpam-4743	84	33	...	...	PUNCT
ejpam-4743	84	34	,	,	PUNCT
ejpam-4743	84	35	γn	γn	X
ejpam-4743	84	36	=	=	SYM
ejpam-4743	84	37	π	π	SYM
ejpam-4743	84	38	2	2	NUM
ejpam-4743	84	39	(	(	PUNCT
ejpam-4743	84	40	2n−	2n−	PROPN
ejpam-4743	84	41	1	1	NUM
ejpam-4743	84	42	)	)	PUNCT
ejpam-4743	84	43	,	,	PUNCT
ejpam-4743	84	44	n	n	NOUN
ejpam-4743	84	45	=	=	SYM
ejpam-4743	84	46	1	1	NUM
ejpam-4743	84	47	,	,	PUNCT
ejpam-4743	84	48	2	2	NUM
ejpam-4743	84	49	,	,	PUNCT
ejpam-4743	84	50	...	...	PUNCT
ejpam-4743	84	51	,	,	PUNCT
ejpam-4743	84	52	uk	uk	PROPN
ejpam-4743	84	53	,	,	PUNCT
ejpam-4743	84	54	n(t	n(t	PROPN
ejpam-4743	84	55	)	)	PUNCT
ejpam-4743	84	56	=	=	PUNCT
ejpam-4743	85	1	4	4	NUM
ejpam-4743	85	2	1∫	1∫	NUM
ejpam-4743	85	3	0	0	NUM
ejpam-4743	86	1	1∫	1∫	NUM
ejpam-4743	86	2	0	0	NUM
ejpam-4743	86	3	u(x	u(x	NOUN
ejpam-4743	86	4	,	,	PUNCT
ejpam-4743	86	5	y	y	PROPN
ejpam-4743	86	6	,	,	PUNCT
ejpam-4743	86	7	t	t	PROPN
ejpam-4743	86	8	)	)	PUNCT
ejpam-4743	86	9	cosλkx	cosλkx	ADJ
ejpam-4743	86	10	sin	sin	NOUN
ejpam-4743	86	11	γnydxdy	γnydxdy	PROPN
ejpam-4743	86	12	,	,	PUNCT
ejpam-4743	86	13	k	k	PROPN
ejpam-4743	86	14	,	,	PUNCT
ejpam-4743	86	15	n	n	NOUN
ejpam-4743	86	16	=	=	SYM
ejpam-4743	86	17	1	1	NUM
ejpam-4743	86	18	,	,	PUNCT
ejpam-4743	86	19	2	2	NUM
ejpam-4743	86	20	,	,	PUNCT
ejpam-4743	86	21	....	....	PUNCT
ejpam-4743	86	22	applying	apply	VERB
ejpam-4743	86	23	the	the	DET
ejpam-4743	86	24	method	method	NOUN
ejpam-4743	86	25	of	of	ADP
ejpam-4743	86	26	separation	separation	NOUN
ejpam-4743	86	27	of	of	ADP
ejpam-4743	86	28	variables	variable	NOUN
ejpam-4743	86	29	to	to	PART
ejpam-4743	86	30	determine	determine	VERB
ejpam-4743	86	31	the	the	DET
ejpam-4743	86	32	desired	desire	VERB
ejpam-4743	86	33	coefficients	coefficient	NOUN
ejpam-4743	86	34	uk	uk	PROPN
ejpam-4743	86	35	,	,	PUNCT
ejpam-4743	86	36	n(t	n(t	PROPN
ejpam-4743	86	37	)	)	PUNCT
ejpam-4743	86	38	(	(	PUNCT
ejpam-4743	86	39	k	k	NOUN
ejpam-4743	86	40	=	=	SYM
ejpam-4743	86	41	1	1	NUM
ejpam-4743	86	42	,	,	PUNCT
ejpam-4743	86	43	2	2	NUM
ejpam-4743	86	44	,	,	PUNCT
ejpam-4743	86	45	...	...	PUNCT
ejpam-4743	86	46	;	;	PUNCT
ejpam-4743	86	47	n	n	X
ejpam-4743	86	48	=	=	SYM
ejpam-4743	86	49	1	1	NUM
ejpam-4743	86	50	,	,	PUNCT
ejpam-4743	86	51	2	2	NUM
ejpam-4743	86	52	,	,	PUNCT
ejpam-4743	86	53	...	...	PUNCT
ejpam-4743	86	54	)	)	PUNCT
ejpam-4743	86	55	,	,	PUNCT
ejpam-4743	86	56	of	of	ADP
ejpam-4743	86	57	the	the	DET
ejpam-4743	86	58	function	function	NOUN
ejpam-4743	86	59	u(x	u(x	NOUN
ejpam-4743	86	60	,	,	PUNCT
ejpam-4743	86	61	y	y	PROPN
ejpam-4743	86	62	,	,	PUNCT
ejpam-4743	86	63	t	t	PROPN
ejpam-4743	86	64	)	)	PUNCT
ejpam-4743	86	65	from	from	ADP
ejpam-4743	86	66	(	(	PUNCT
ejpam-4743	86	67	1	1	NUM
ejpam-4743	86	68	)	)	PUNCT
ejpam-4743	86	69	,	,	PUNCT
ejpam-4743	86	70	(	(	PUNCT
ejpam-4743	86	71	2	2	NUM
ejpam-4743	86	72	)	)	PUNCT
ejpam-4743	86	73	,	,	PUNCT
ejpam-4743	86	74	we	we	PRON
ejpam-4743	86	75	get	get	VERB
ejpam-4743	86	76	:	:	PUNCT
ejpam-4743	86	77	u′′k	u′′k	PROPN
ejpam-4743	86	78	,	,	PUNCT
ejpam-4743	86	79	n(t	n(t	PROPN
ejpam-4743	86	80	)	)	PUNCT
ejpam-4743	86	81	+	+	CCONJ
ejpam-4743	87	1	αµ2k	αµ2k	NUM
ejpam-4743	87	2	,	,	PUNCT
ejpam-4743	87	3	nu	nu	NOUN
ejpam-4743	87	4	′	′	NUM
ejpam-4743	87	5	k.n(t	k.n(t	NOUN
ejpam-4743	87	6	)	)	PUNCT
ejpam-4743	88	1	+	+	CCONJ
ejpam-4743	88	2	βµ2k	βµ2k	PROPN
ejpam-4743	88	3	,	,	PUNCT
ejpam-4743	88	4	nuk	nuk	NOUN
ejpam-4743	88	5	,	,	PUNCT
ejpam-4743	88	6	n(t	n(t	PROPN
ejpam-4743	88	7	)	)	PUNCT
ejpam-4743	88	8	=	=	SYM
ejpam-4743	88	9	fk	fk	PROPN
ejpam-4743	88	10	,	,	PUNCT
ejpam-4743	88	11	n(t;u	n(t;u	PROPN
ejpam-4743	88	12	,	,	PUNCT
ejpam-4743	88	13	a	a	PRON
ejpam-4743	88	14	)	)	PUNCT
ejpam-4743	88	15	,	,	PUNCT
ejpam-4743	88	16	k	k	PROPN
ejpam-4743	88	17	,	,	PUNCT
ejpam-4743	88	18	n	n	NOUN
ejpam-4743	88	19	=	=	SYM
ejpam-4743	88	20	1	1	NUM
ejpam-4743	88	21	,	,	PUNCT
ejpam-4743	88	22	2	2	NUM
ejpam-4743	88	23	,	,	PUNCT
ejpam-4743	88	24	...	...	PUNCT
ejpam-4743	88	25	,	,	PUNCT
ejpam-4743	88	26	0	0	NUM
ejpam-4743	88	27	≤	≤	NUM
ejpam-4743	88	28	t	t	PROPN
ejpam-4743	88	29	≤	≤	PROPN
ejpam-4743	88	30	t	t	PROPN
ejpam-4743	88	31	,	,	PUNCT
ejpam-4743	88	32	(	(	PUNCT
ejpam-4743	88	33	13	13	X
ejpam-4743	88	34	)	)	PUNCT
ejpam-4743	88	35	uk	uk	PROPN
ejpam-4743	88	36	,	,	PUNCT
ejpam-4743	88	37	n(0	n(0	PROPN
ejpam-4743	88	38	)	)	PUNCT
ejpam-4743	88	39	=	=	SYM
ejpam-4743	89	1	ϕk	ϕk	PROPN
ejpam-4743	89	2	,	,	PUNCT
ejpam-4743	89	3	n	n	CCONJ
ejpam-4743	89	4	,	,	PUNCT
ejpam-4743	89	5	u	u	NOUN
ejpam-4743	89	6	′	′	NOUN
ejpam-4743	89	7	k	k	NOUN
ejpam-4743	89	8	,	,	PUNCT
ejpam-4743	89	9	n(0	n(0	PROPN
ejpam-4743	89	10	)	)	PUNCT
ejpam-4743	89	11	=	=	PUNCT
ejpam-4743	89	12	ψk	ψk	PROPN
ejpam-4743	89	13	,	,	PUNCT
ejpam-4743	89	14	n	n	CCONJ
ejpam-4743	89	15	,	,	PUNCT
ejpam-4743	89	16	k	k	NOUN
ejpam-4743	89	17	,	,	PUNCT
ejpam-4743	89	18	n	n	NOUN
ejpam-4743	89	19	=	=	SYM
ejpam-4743	89	20	1	1	NUM
ejpam-4743	89	21	,	,	PUNCT
ejpam-4743	89	22	2	2	NUM
ejpam-4743	89	23	,	,	PUNCT
ejpam-4743	89	24	...	...	PUNCT
ejpam-4743	89	25	,	,	PUNCT
ejpam-4743	89	26	(	(	PUNCT
ejpam-4743	89	27	14	14	X
ejpam-4743	89	28	)	)	PUNCT
ejpam-4743	89	29	y.	y.	PROPN
ejpam-4743	89	30	t.	t.	PROPN
ejpam-4743	89	31	mehraliyev	mehraliyev	PROPN
ejpam-4743	89	32	,	,	PUNCT
ejpam-4743	89	33	s.	s.	PROPN
ejpam-4743	89	34	r.shafi	r.shafi	PROPN
ejpam-4743	89	35	,	,	PUNCT
ejpam-4743	89	36	a.	a.	NOUN
ejpam-4743	89	37	t.	t.	PROPN
ejpam-4743	89	38	ramazanova	ramazanova	PROPN
ejpam-4743	89	39	/	/	SYM
ejpam-4743	89	40	eur	eur	PROPN
ejpam-4743	89	41	.	.	PUNCT
ejpam-4743	90	1	j.	j.	PROPN
ejpam-4743	90	2	pure	pure	PROPN
ejpam-4743	90	3	appl	appl	PROPN
ejpam-4743	90	4	.	.	PROPN
ejpam-4743	90	5	math	math	PROPN
ejpam-4743	90	6	,	,	PUNCT
ejpam-4743	90	7	16	16	NUM
ejpam-4743	90	8	(	(	PUNCT
ejpam-4743	90	9	2	2	NUM
ejpam-4743	90	10	)	)	PUNCT
ejpam-4743	90	11	(	(	PUNCT
ejpam-4743	90	12	2023	2023	NUM
ejpam-4743	90	13	)	)	PUNCT
ejpam-4743	90	14	,	,	PUNCT
ejpam-4743	90	15	670	670	NUM
ejpam-4743	90	16	-	-	SYM
ejpam-4743	90	17	686	686	NUM
ejpam-4743	90	18	674	674	NUM
ejpam-4743	90	19	where	where	SCONJ
ejpam-4743	90	20	µ2k	µ2k	VERB
ejpam-4743	90	21	,	,	PUNCT
ejpam-4743	90	22	n	n	NOUN
ejpam-4743	90	23	=	=	PUNCT
ejpam-4743	90	24	λ2k	λ2k	NOUN
ejpam-4743	90	25	+	+	NUM
ejpam-4743	90	26	γ2n	γ2n	NOUN
ejpam-4743	90	27	,	,	PUNCT
ejpam-4743	90	28	k	k	NOUN
ejpam-4743	90	29	,	,	PUNCT
ejpam-4743	90	30	n	n	NOUN
ejpam-4743	90	31	=	=	SYM
ejpam-4743	90	32	1	1	NUM
ejpam-4743	90	33	,	,	PUNCT
ejpam-4743	90	34	2	2	NUM
ejpam-4743	90	35	,	,	PUNCT
ejpam-4743	90	36	...	...	PUNCT
ejpam-4743	90	37	,	,	PUNCT
ejpam-4743	90	38	fk	fk	INTJ
ejpam-4743	90	39	,	,	PUNCT
ejpam-4743	90	40	n(t;u	n(t;u	PROPN
ejpam-4743	90	41	,	,	PUNCT
ejpam-4743	90	42	a	a	PRON
ejpam-4743	90	43	)	)	PUNCT
ejpam-4743	90	44	=	=	SYM
ejpam-4743	90	45	fk	fk	INTJ
ejpam-4743	90	46	,	,	PUNCT
ejpam-4743	90	47	n(t	n(t	PROPN
ejpam-4743	90	48	)	)	PUNCT
ejpam-4743	90	49	+	+	CCONJ
ejpam-4743	90	50	a(t)uk	a(t)uk	ADV
ejpam-4743	90	51	,	,	PUNCT
ejpam-4743	90	52	n(t	n(t	PROPN
ejpam-4743	90	53	)	)	PUNCT
ejpam-4743	90	54	,	,	PUNCT
ejpam-4743	90	55	k	k	PROPN
ejpam-4743	90	56	,	,	PUNCT
ejpam-4743	90	57	n	n	NOUN
ejpam-4743	90	58	=	=	SYM
ejpam-4743	90	59	1	1	NUM
ejpam-4743	90	60	,	,	PUNCT
ejpam-4743	90	61	2	2	NUM
ejpam-4743	90	62	,	,	PUNCT
ejpam-4743	90	63	...	...	PUNCT
ejpam-4743	90	64	,	,	PUNCT
ejpam-4743	90	65	fk	fk	INTJ
ejpam-4743	90	66	,	,	PUNCT
ejpam-4743	90	67	n(t	n(t	PROPN
ejpam-4743	90	68	)	)	PUNCT
ejpam-4743	90	69	=	=	PUNCT
ejpam-4743	91	1	4	4	NUM
ejpam-4743	91	2	1∫	1∫	NUM
ejpam-4743	91	3	0	0	NUM
ejpam-4743	92	1	1∫	1∫	NUM
ejpam-4743	92	2	0	0	NUM
ejpam-4743	92	3	f(x	f(x	PROPN
ejpam-4743	92	4	,	,	PUNCT
ejpam-4743	92	5	y	y	PROPN
ejpam-4743	92	6	,	,	PUNCT
ejpam-4743	92	7	t	t	PROPN
ejpam-4743	92	8	)	)	PUNCT
ejpam-4743	92	9	cosλkx	cosλkx	ADJ
ejpam-4743	92	10	sin	sin	NOUN
ejpam-4743	92	11	γnydxdy	γnydxdy	PROPN
ejpam-4743	92	12	,	,	PUNCT
ejpam-4743	92	13	k	k	PROPN
ejpam-4743	92	14	,	,	PUNCT
ejpam-4743	92	15	n	n	NOUN
ejpam-4743	92	16	=	=	SYM
ejpam-4743	92	17	1	1	NUM
ejpam-4743	92	18	,	,	PUNCT
ejpam-4743	92	19	2	2	NUM
ejpam-4743	92	20	,	,	PUNCT
ejpam-4743	92	21	...	...	PUNCT
ejpam-4743	92	22	,	,	PUNCT
ejpam-4743	92	23	ϕk	ϕk	INTJ
ejpam-4743	92	24	,	,	PUNCT
ejpam-4743	92	25	n	n	NOUN
ejpam-4743	92	26	=	=	NUM
ejpam-4743	92	27	4	4	NUM
ejpam-4743	92	28	1∫	1∫	NUM
ejpam-4743	92	29	0	0	NUM
ejpam-4743	93	1	1∫	1∫	NUM
ejpam-4743	93	2	0	0	NUM
ejpam-4743	94	1	ϕ(x	ϕ(x	PROPN
ejpam-4743	94	2	,	,	PUNCT
ejpam-4743	94	3	y	y	NOUN
ejpam-4743	94	4	)	)	PUNCT
ejpam-4743	94	5	cosλkx	cosλkx	ADJ
ejpam-4743	94	6	sin	sin	NOUN
ejpam-4743	94	7	γnydxdy	γnydxdy	PROPN
ejpam-4743	94	8	,	,	PUNCT
ejpam-4743	94	9	k	k	PROPN
ejpam-4743	94	10	,	,	PUNCT
ejpam-4743	94	11	n	n	NOUN
ejpam-4743	94	12	=	=	SYM
ejpam-4743	94	13	1	1	NUM
ejpam-4743	94	14	,	,	PUNCT
ejpam-4743	94	15	2	2	NUM
ejpam-4743	94	16	,	,	PUNCT
ejpam-4743	94	17	...	...	PUNCT
ejpam-4743	94	18	,	,	PUNCT
ejpam-4743	94	19	ψk	ψk	VERB
ejpam-4743	94	20	,	,	PUNCT
ejpam-4743	94	21	n	n	NOUN
ejpam-4743	94	22	=	=	NUM
ejpam-4743	94	23	4	4	NUM
ejpam-4743	95	1	1∫	1∫	NUM
ejpam-4743	95	2	0	0	NUM
ejpam-4743	96	1	1∫	1∫	NUM
ejpam-4743	96	2	0	0	NUM
ejpam-4743	96	3	ψ(x	ψ(x	PROPN
ejpam-4743	96	4	,	,	PUNCT
ejpam-4743	96	5	y	y	NOUN
ejpam-4743	96	6	)	)	PUNCT
ejpam-4743	96	7	cosλkx	cosλkx	ADJ
ejpam-4743	96	8	sin	sin	NOUN
ejpam-4743	96	9	γnydxdy	γnydxdy	PROPN
ejpam-4743	96	10	,	,	PUNCT
ejpam-4743	96	11	k	k	PROPN
ejpam-4743	96	12	,	,	PUNCT
ejpam-4743	96	13	n	n	NOUN
ejpam-4743	96	14	=	=	SYM
ejpam-4743	96	15	1	1	NUM
ejpam-4743	96	16	,	,	PUNCT
ejpam-4743	96	17	2	2	NUM
ejpam-4743	96	18	,	,	PUNCT
ejpam-4743	96	19	....	....	PUNCT
ejpam-4743	97	1	let	let	VERB
ejpam-4743	97	2	’s	’s	PRON
ejpam-4743	97	3	assume	assume	VERB
ejpam-4743	97	4	that	that	SCONJ
ejpam-4743	98	1	α2π2	α2π2	ADP
ejpam-4743	98	2	4	4	NUM
ejpam-4743	98	3	−	−	NOUN
ejpam-4743	98	4	β	β	X
ejpam-4743	98	5	>	>	X
ejpam-4743	98	6	0	0	PUNCT
ejpam-4743	98	7	.	.	PUNCT
ejpam-4743	99	1	then	then	ADV
ejpam-4743	99	2	solving	solve	VERB
ejpam-4743	99	3	problem	problem	NOUN
ejpam-4743	99	4	(	(	PUNCT
ejpam-4743	99	5	13	13	NUM
ejpam-4743	99	6	)	)	PUNCT
ejpam-4743	99	7	,	,	PUNCT
ejpam-4743	99	8	(	(	PUNCT
ejpam-4743	99	9	14	14	NUM
ejpam-4743	99	10	)	)	PUNCT
ejpam-4743	99	11	,	,	PUNCT
ejpam-4743	99	12	we	we	PRON
ejpam-4743	99	13	find	find	VERB
ejpam-4743	99	14	:	:	PUNCT
ejpam-4743	99	15	uk	uk	PROPN
ejpam-4743	99	16	,	,	PUNCT
ejpam-4743	99	17	n(t	n(t	PROPN
ejpam-4743	99	18	)	)	PUNCT
ejpam-4743	99	19	=	=	SYM
ejpam-4743	99	20	1	1	NUM
ejpam-4743	99	21	γk	γk	NOUN
ejpam-4743	99	22	,	,	PUNCT
ejpam-4743	99	23	n	n	PROPN
ejpam-4743	99	24	[	[	X
ejpam-4743	99	25	(	(	PUNCT
ejpam-4743	99	26	µ2,k	µ2,k	PROPN
ejpam-4743	99	27	,	,	PUNCT
ejpam-4743	99	28	ne	ne	PROPN
ejpam-4743	99	29	µ1,k	µ1,k	PROPN
ejpam-4743	99	30	,	,	PUNCT
ejpam-4743	99	31	nt	not	PART
ejpam-4743	99	32	−	−	PROPN
ejpam-4743	99	33	µ1,k	µ1,k	PROPN
ejpam-4743	99	34	,	,	PUNCT
ejpam-4743	99	35	ne	ne	PROPN
ejpam-4743	99	36	µ2,k	µ2,k	PROPN
ejpam-4743	99	37	,	,	PUNCT
ejpam-4743	99	38	nt	not	PART
ejpam-4743	99	39	)	)	PUNCT
ejpam-4743	99	40	ϕk	ϕk	NOUN
ejpam-4743	99	41	,	,	PUNCT
ejpam-4743	99	42	n+	n+	PRON
ejpam-4743	99	43	(	(	PUNCT
ejpam-4743	99	44	eµ2,k	eµ2,k	NOUN
ejpam-4743	99	45	,	,	PUNCT
ejpam-4743	99	46	nt	not	PART
ejpam-4743	99	47	−	−	PROPN
ejpam-4743	99	48	eµ1,k	eµ1,k	PROPN
ejpam-4743	99	49	,	,	PUNCT
ejpam-4743	99	50	n	n	PRON
ejpam-4743	99	51	t	t	NOUN
ejpam-4743	99	52	)	)	PUNCT
ejpam-4743	99	53	ψk	ψk	VERB
ejpam-4743	99	54	,	,	PUNCT
ejpam-4743	99	55	n+	n+	PUNCT
ejpam-4743	99	56	+	+	CCONJ
ejpam-4743	99	57	t∫	t∫	PRON
ejpam-4743	99	58	0	0	NUM
ejpam-4743	99	59	fk	fk	INTJ
ejpam-4743	99	60	,	,	PUNCT
ejpam-4743	99	61	n(τ	n(τ	PROPN
ejpam-4743	99	62	;	;	PUNCT
ejpam-4743	99	63	u	u	NOUN
ejpam-4743	99	64	,	,	PUNCT
ejpam-4743	99	65	a	a	PRON
ejpam-4743	99	66	)	)	PUNCT
ejpam-4743	99	67	(	(	PUNCT
ejpam-4743	99	68	eµ2,k	eµ2,k	NOUN
ejpam-4743	99	69	,	,	PUNCT
ejpam-4743	99	70	n(t−τ	n(t−τ	PROPN
ejpam-4743	99	71	)	)	PUNCT
ejpam-4743	99	72	−	−	PROPN
ejpam-4743	99	73	eµ1,k	eµ1,k	PROPN
ejpam-4743	99	74	,	,	PUNCT
ejpam-4743	99	75	n(t−τ	n(t−τ	PROPN
ejpam-4743	99	76	)	)	PUNCT
ejpam-4743	99	77	)	)	PUNCT
ejpam-4743	99	78	dτ	dτ	NOUN
ejpam-4743	99	79			NOUN
ejpam-4743	99	80	,	,	PUNCT
ejpam-4743	99	81	(	(	PUNCT
ejpam-4743	99	82	15	15	NUM
ejpam-4743	99	83	)	)	PUNCT
ejpam-4743	99	84	where	where	SCONJ
ejpam-4743	99	85	µi	µi	PROPN
ejpam-4743	99	86	,	,	PUNCT
ejpam-4743	99	87	k	k	PROPN
ejpam-4743	99	88	,	,	PUNCT
ejpam-4743	99	89	n	n	NOUN
ejpam-4743	99	90	=	=	SYM
ejpam-4743	99	91	−	−	PROPN
ejpam-4743	99	92	αµ2k	αµ2k	NOUN
ejpam-4743	99	93	,	,	PUNCT
ejpam-4743	99	94	n	n	PRON
ejpam-4743	99	95	2	2	NUM
ejpam-4743	99	96	+	+	CCONJ
ejpam-4743	99	97	(	(	PUNCT
ejpam-4743	99	98	−1)iµk	−1)iµk	NOUN
ejpam-4743	99	99	,	,	PUNCT
ejpam-4743	99	100	n	n	PRON
ejpam-4743	99	101	√	√	NUM
ejpam-4743	99	102	α2µ2k	α2µ2k	NUM
ejpam-4743	99	103	,	,	PUNCT
ejpam-4743	99	104	n	n	PRON
ejpam-4743	99	105	4	4	NUM
ejpam-4743	99	106	−	−	NOUN
ejpam-4743	99	107	β	β	X
ejpam-4743	99	108	(	(	PUNCT
ejpam-4743	99	109	i	i	NOUN
ejpam-4743	99	110	=	=	NOUN
ejpam-4743	99	111	1	1	NUM
ejpam-4743	99	112	,	,	PUNCT
ejpam-4743	99	113	2	2	NUM
ejpam-4743	99	114	)	)	PUNCT
ejpam-4743	99	115	,	,	PUNCT
ejpam-4743	99	116	γk	γk	NOUN
ejpam-4743	99	117	,	,	PUNCT
ejpam-4743	99	118	n	n	PROPN
ejpam-4743	99	119	=	=	SYM
ejpam-4743	99	120	µ2,k	µ2,k	PROPN
ejpam-4743	99	121	,	,	PUNCT
ejpam-4743	99	122	n	n	PRON
ejpam-4743	99	123	−	−	PROPN
ejpam-4743	99	124	µ1,k	µ1,k	PROPN
ejpam-4743	99	125	,	,	PUNCT
ejpam-4743	99	126	n	n	NOUN
ejpam-4743	99	127	=	=	SYM
ejpam-4743	99	128	2µk	2µk	NOUN
ejpam-4743	99	129	,	,	PUNCT
ejpam-4743	99	130	n	n	PRON
ejpam-4743	99	131	√	√	NUM
ejpam-4743	99	132	α2µ2k	α2µ2k	NUM
ejpam-4743	99	133	,	,	PUNCT
ejpam-4743	99	134	n	n	PRON
ejpam-4743	99	135	4	4	NUM
ejpam-4743	99	136	−	−	NOUN
ejpam-4743	99	137	β	β	NOUN
ejpam-4743	99	138	.	.	PUNCT
ejpam-4743	100	1	after	after	ADP
ejpam-4743	100	2	substituting	substitute	VERB
ejpam-4743	100	3	the	the	DET
ejpam-4743	100	4	expression	expression	NOUN
ejpam-4743	100	5	from	from	ADP
ejpam-4743	100	6	(	(	PUNCT
ejpam-4743	100	7	15	15	NUM
ejpam-4743	100	8	)	)	PUNCT
ejpam-4743	100	9	into	into	ADP
ejpam-4743	100	10	(	(	PUNCT
ejpam-4743	100	11	12	12	NUM
ejpam-4743	100	12	)	)	PUNCT
ejpam-4743	100	13	,	,	PUNCT
ejpam-4743	100	14	to	to	PART
ejpam-4743	100	15	determine	determine	VERB
ejpam-4743	100	16	the	the	DET
ejpam-4743	100	17	component	component	NOUN
ejpam-4743	100	18	of	of	ADP
ejpam-4743	100	19	the	the	DET
ejpam-4743	100	20	solution	solution	NOUN
ejpam-4743	100	21	to	to	ADP
ejpam-4743	100	22	problem	problem	NOUN
ejpam-4743	100	23	(	(	PUNCT
ejpam-4743	100	24	1)-(3	1)-(3	NUM
ejpam-4743	100	25	)	)	PUNCT
ejpam-4743	100	26	,	,	PUNCT
ejpam-4743	100	27	(	(	PUNCT
ejpam-4743	100	28	7	7	NUM
ejpam-4743	100	29	)	)	PUNCT
ejpam-4743	100	30	,	,	PUNCT
ejpam-4743	100	31	we	we	PRON
ejpam-4743	100	32	obtain	obtain	VERB
ejpam-4743	100	33	:	:	PUNCT
ejpam-4743	100	34	u(x	u(x	PROPN
ejpam-4743	100	35	,	,	PUNCT
ejpam-4743	100	36	y	y	PROPN
ejpam-4743	100	37	,	,	PUNCT
ejpam-4743	100	38	t	t	PROPN
ejpam-4743	100	39	)	)	PUNCT
ejpam-4743	100	40	=	=	PUNCT
ejpam-4743	101	1	∞∑	∞∑	NUM
ejpam-4743	101	2	k=1	k=1	ADP
ejpam-4743	101	3	∞∑	∞∑	NUM
ejpam-4743	101	4	n=1	n=1	PROPN
ejpam-4743	101	5	{	{	PUNCT
ejpam-4743	101	6	1	1	NUM
ejpam-4743	101	7	γk	γk	NOUN
ejpam-4743	101	8	,	,	PUNCT
ejpam-4743	101	9	n	n	PROPN
ejpam-4743	101	10	[	[	X
ejpam-4743	101	11	(	(	PUNCT
ejpam-4743	101	12	µ2,k	µ2,k	PROPN
ejpam-4743	101	13	,	,	PUNCT
ejpam-4743	101	14	ne	ne	PROPN
ejpam-4743	101	15	µ	µ	X
ejpam-4743	101	16	1,k	1,k	PROPN
ejpam-4743	101	17	,	,	PUNCT
ejpam-4743	101	18	n	n	PROPN
ejpam-4743	101	19	t	t	NOUN
ejpam-4743	101	20	−	−	PROPN
ejpam-4743	101	21	µ1,k	µ1,k	PROPN
ejpam-4743	101	22	,	,	PUNCT
ejpam-4743	101	23	ne	ne	PROPN
ejpam-4743	101	24	µ	µ	PROPN
ejpam-4743	101	25	2,k	2,k	PROPN
ejpam-4743	101	26	,	,	PUNCT
ejpam-4743	101	27	n	n	PROPN
ejpam-4743	101	28	t	t	NOUN
ejpam-4743	101	29	)	)	PUNCT
ejpam-4743	101	30	ϕk	ϕk	PROPN
ejpam-4743	101	31	,	,	PUNCT
ejpam-4743	101	32	n+	n+	PRON
ejpam-4743	101	33	(	(	PUNCT
ejpam-4743	101	34	eµ2,k	eµ2,k	PROPN
ejpam-4743	101	35	,	,	PUNCT
ejpam-4743	101	36	n	n	PROPN
ejpam-4743	101	37	t	t	NOUN
ejpam-4743	101	38	−	−	PROPN
ejpam-4743	101	39	eµ1,k	eµ1,k	PROPN
ejpam-4743	101	40	,	,	PUNCT
ejpam-4743	101	41	n	n	PRON
ejpam-4743	101	42	t	t	NOUN
ejpam-4743	101	43	)	)	PUNCT
ejpam-4743	101	44	ψk	ψk	VERB
ejpam-4743	101	45	,	,	PUNCT
ejpam-4743	101	46	n+	n+	PUNCT
ejpam-4743	102	1	+	+	CCONJ
ejpam-4743	102	2	t∫	t∫	PRON
ejpam-4743	102	3	0	0	NUM
ejpam-4743	102	4	fk	fk	INTJ
ejpam-4743	102	5	,	,	PUNCT
ejpam-4743	102	6	n(τ	n(τ	PROPN
ejpam-4743	102	7	;	;	PUNCT
ejpam-4743	102	8	u	u	NOUN
ejpam-4743	102	9	,	,	PUNCT
ejpam-4743	102	10	a	a	PRON
ejpam-4743	102	11	)	)	PUNCT
ejpam-4743	102	12	(	(	PUNCT
ejpam-4743	102	13	eµ2,k	eµ2,k	NOUN
ejpam-4743	102	14	,	,	PUNCT
ejpam-4743	102	15	n	n	CCONJ
ejpam-4743	102	16	(	(	PUNCT
ejpam-4743	102	17	t−τ	t−τ	PROPN
ejpam-4743	102	18	)	)	PUNCT
ejpam-4743	102	19	−	−	NOUN
ejpam-4743	102	20	eµ2,k	eµ2,k	NOUN
ejpam-4743	102	21	,	,	PUNCT
ejpam-4743	102	22	n	n	CCONJ
ejpam-4743	102	23	(	(	PUNCT
ejpam-4743	102	24	t−τ	t−τ	PROPN
ejpam-4743	102	25	)	)	PUNCT
ejpam-4743	102	26	)	)	PUNCT
ejpam-4743	103	1	dτ	dτ	ADP
ejpam-4743	103	2			ADP
ejpam-4743	103	3	cosλkx	cosλkx	PROPN
ejpam-4743	103	4	sin	sin	NOUN
ejpam-4743	103	5	γny	γny	PROPN
ejpam-4743	103	6	.	.	PUNCT
ejpam-4743	104	1	(	(	PUNCT
ejpam-4743	104	2	16	16	X
ejpam-4743	104	3	)	)	PUNCT
ejpam-4743	104	4	y.	y.	PROPN
ejpam-4743	104	5	t.	t.	PROPN
ejpam-4743	104	6	mehraliyev	mehraliyev	PROPN
ejpam-4743	104	7	,	,	PUNCT
ejpam-4743	104	8	s.	s.	PROPN
ejpam-4743	104	9	r.shafi	r.shafi	PROPN
ejpam-4743	104	10	,	,	PUNCT
ejpam-4743	104	11	a.	a.	NOUN
ejpam-4743	104	12	t.	t.	PROPN
ejpam-4743	104	13	ramazanova	ramazanova	PROPN
ejpam-4743	104	14	/	/	SYM
ejpam-4743	104	15	eur	eur	PROPN
ejpam-4743	104	16	.	.	PUNCT
ejpam-4743	105	1	j.	j.	PROPN
ejpam-4743	105	2	pure	pure	PROPN
ejpam-4743	105	3	appl	appl	PROPN
ejpam-4743	105	4	.	.	PROPN
ejpam-4743	105	5	math	math	PROPN
ejpam-4743	105	6	,	,	PUNCT
ejpam-4743	105	7	16	16	NUM
ejpam-4743	105	8	(	(	PUNCT
ejpam-4743	105	9	2	2	NUM
ejpam-4743	105	10	)	)	PUNCT
ejpam-4743	105	11	(	(	PUNCT
ejpam-4743	105	12	2023	2023	NUM
ejpam-4743	105	13	)	)	PUNCT
ejpam-4743	105	14	,	,	PUNCT
ejpam-4743	105	15	670	670	NUM
ejpam-4743	105	16	-	-	SYM
ejpam-4743	105	17	686	686	NUM
ejpam-4743	105	18	675	675	NUM
ejpam-4743	105	19	from	from	ADP
ejpam-4743	105	20	(	(	PUNCT
ejpam-4743	105	21	6),(7	6),(7	NOUN
ejpam-4743	105	22	)	)	PUNCT
ejpam-4743	105	23	,	,	PUNCT
ejpam-4743	105	24	we	we	PRON
ejpam-4743	105	25	have	have	AUX
ejpam-4743	105	26	:	:	PUNCT
ejpam-4743	105	27	a(t)h(t	a(t)h(t	X
ejpam-4743	105	28	)	)	PUNCT
ejpam-4743	105	29	=	=	PUNCT
ejpam-4743	105	30	h′′(t)−	h′′(t)−	PROPN
ejpam-4743	106	1	1∫	1∫	NUM
ejpam-4743	106	2	0	0	NUM
ejpam-4743	107	1	1∫	1∫	NUM
ejpam-4743	107	2	0	0	NUM
ejpam-4743	107	3	ω(x	ω(x	NOUN
ejpam-4743	107	4	,	,	PUNCT
ejpam-4743	107	5	y)f(x	y)f(x	PROPN
ejpam-4743	107	6	,	,	PUNCT
ejpam-4743	107	7	y	y	PROPN
ejpam-4743	107	8	,	,	PUNCT
ejpam-4743	107	9	t)dxdy+	t)dxdy+	NOUN
ejpam-4743	107	10	+	+	CCONJ
ejpam-4743	107	11	∞∑	∞∑	NUM
ejpam-4743	107	12	k=1	k=1	ADP
ejpam-4743	107	13	∞∑	∞∑	NUM
ejpam-4743	107	14	n=1	n=1	PROPN
ejpam-4743	107	15	pk	pk	PROPN
ejpam-4743	107	16	,	,	PUNCT
ejpam-4743	107	17	n	n	CCONJ
ejpam-4743	107	18	(	(	PUNCT
ejpam-4743	107	19	αu′k	αu′k	NOUN
ejpam-4743	107	20	,	,	PUNCT
ejpam-4743	107	21	n	n	PROPN
ejpam-4743	107	22	(	(	PUNCT
ejpam-4743	107	23	t	t	PROPN
ejpam-4743	107	24	)	)	PUNCT
ejpam-4743	107	25	+	+	CCONJ
ejpam-4743	107	26	βuk	βuk	PROPN
ejpam-4743	107	27	,	,	PUNCT
ejpam-4743	107	28	n	n	PROPN
ejpam-4743	107	29	(	(	PUNCT
ejpam-4743	107	30	t	t	PROPN
ejpam-4743	107	31	)	)	PUNCT
ejpam-4743	107	32	)	)	PUNCT
ejpam-4743	108	1	(	(	PUNCT
ejpam-4743	108	2	0	0	NUM
ejpam-4743	108	3	≤	≤	NUM
ejpam-4743	108	4	t	t	PROPN
ejpam-4743	108	5	≤	≤	PROPN
ejpam-4743	108	6	t	t	PROPN
ejpam-4743	108	7	)	)	PUNCT
ejpam-4743	108	8	,	,	PUNCT
ejpam-4743	108	9	(	(	PUNCT
ejpam-4743	108	10	17	17	NUM
ejpam-4743	108	11	)	)	PUNCT
ejpam-4743	109	1	where	where	SCONJ
ejpam-4743	109	2	pk	pk	NOUN
ejpam-4743	109	3	,	,	PUNCT
ejpam-4743	109	4	n	n	NOUN
ejpam-4743	109	5	=	=	SYM
ejpam-4743	109	6	1∫	1∫	NUM
ejpam-4743	109	7	0	0	NUM
ejpam-4743	109	8	1∫	1∫	NUM
ejpam-4743	109	9	0	0	NUM
ejpam-4743	109	10	ω(x	ω(x	NOUN
ejpam-4743	109	11	,	,	PUNCT
ejpam-4743	109	12	y	y	NOUN
ejpam-4743	109	13	)	)	PUNCT
ejpam-4743	109	14	cosλkx	cosλkx	ADJ
ejpam-4743	109	15	sin	sin	NOUN
ejpam-4743	109	16	γnydxdy	γnydxdy	PROPN
ejpam-4743	109	17	.	.	PUNCT
ejpam-4743	110	1	(	(	PUNCT
ejpam-4743	110	2	18	18	NUM
ejpam-4743	110	3	)	)	PUNCT
ejpam-4743	110	4	differentiating	differentiate	VERB
ejpam-4743	110	5	(	(	PUNCT
ejpam-4743	110	6	15	15	NUM
ejpam-4743	110	7	)	)	PUNCT
ejpam-4743	110	8	two	two	NUM
ejpam-4743	110	9	times	time	NOUN
ejpam-4743	110	10	,	,	PUNCT
ejpam-4743	110	11	we	we	PRON
ejpam-4743	110	12	get	get	VERB
ejpam-4743	110	13	:	:	PUNCT
ejpam-4743	110	14	u′k	u′k	ADJ
ejpam-4743	110	15	,	,	PUNCT
ejpam-4743	110	16	n(t	n(t	X
ejpam-4743	110	17	)	)	PUNCT
ejpam-4743	110	18	=	=	SYM
ejpam-4743	110	19	1	1	NUM
ejpam-4743	110	20	γk	γk	NOUN
ejpam-4743	110	21	,	,	PUNCT
ejpam-4743	110	22	n	n	X
ejpam-4743	110	23	[	[	PUNCT
ejpam-4743	110	24	µ1,k	µ1,k	PROPN
ejpam-4743	110	25	,	,	PUNCT
ejpam-4743	110	26	nµ2,k	nµ2,k	PROPN
ejpam-4743	110	27	,	,	PUNCT
ejpam-4743	110	28	n	n	PROPN
ejpam-4743	110	29	(	(	PUNCT
ejpam-4743	110	30	eµ1,k	eµ1,k	PROPN
ejpam-4743	110	31	,	,	PUNCT
ejpam-4743	110	32	nt	not	PART
ejpam-4743	110	33	−	−	NOUN
ejpam-4743	110	34	eµ2k	eµ2k	NOUN
ejpam-4743	110	35	,	,	PUNCT
ejpam-4743	110	36	nt	not	PART
ejpam-4743	110	37	)	)	PUNCT
ejpam-4743	110	38	ϕk	ϕk	NOUN
ejpam-4743	110	39	,	,	PUNCT
ejpam-4743	110	40	n+	n+	PUNCT
ejpam-4743	111	1	+	+	CCONJ
ejpam-4743	111	2	(	(	PUNCT
ejpam-4743	111	3	µ2,k	µ2,k	PROPN
ejpam-4743	111	4	,	,	PUNCT
ejpam-4743	111	5	ne	ne	PROPN
ejpam-4743	111	6	µ2,k	µ2,k	PROPN
ejpam-4743	111	7	,	,	PUNCT
ejpam-4743	111	8	nt	not	PART
ejpam-4743	111	9	−	−	PROPN
ejpam-4743	111	10	µ1,k	µ1,k	PROPN
ejpam-4743	111	11	,	,	PUNCT
ejpam-4743	111	12	ne	ne	PROPN
ejpam-4743	111	13	µ1,k	µ1,k	PROPN
ejpam-4743	111	14	,	,	PUNCT
ejpam-4743	111	15	nt	not	PART
ejpam-4743	111	16	)	)	PUNCT
ejpam-4743	111	17	ψk	ψk	VERB
ejpam-4743	111	18	,	,	PUNCT
ejpam-4743	111	19	n+	n+	PUNCT
ejpam-4743	111	20	+	+	CCONJ
ejpam-4743	111	21	t∫	t∫	PRON
ejpam-4743	111	22	0	0	NUM
ejpam-4743	111	23	fk	fk	INTJ
ejpam-4743	111	24	,	,	PUNCT
ejpam-4743	111	25	n(τ	n(τ	PROPN
ejpam-4743	111	26	;	;	PUNCT
ejpam-4743	111	27	u	u	NOUN
ejpam-4743	111	28	,	,	PUNCT
ejpam-4743	111	29	a	a	NOUN
ejpam-4743	111	30	)	)	PUNCT
ejpam-4743	111	31	(	(	PUNCT
ejpam-4743	111	32	µ	µ	X
ejpam-4743	111	33	2,k	2,k	PROPN
ejpam-4743	111	34	,	,	PUNCT
ejpam-4743	111	35	n	n	PRON
ejpam-4743	111	36	eµ2,k	eµ2,k	NOUN
ejpam-4743	111	37	,	,	PUNCT
ejpam-4743	111	38	n(t−τ	n(t−τ	PROPN
ejpam-4743	111	39	)	)	PUNCT
ejpam-4743	111	40	−	−	PROPN
ejpam-4743	112	1	µ1,k	µ1,k	PROPN
ejpam-4743	112	2	,	,	PUNCT
ejpam-4743	112	3	ne	ne	PROPN
ejpam-4743	112	4	µ1,k	µ1,k	PROPN
ejpam-4743	112	5	,	,	PUNCT
ejpam-4743	112	6	n(t−τ	n(t−τ	NOUN
ejpam-4743	112	7	)	)	PUNCT
ejpam-4743	112	8	)	)	PUNCT
ejpam-4743	112	9	dτ	dτ	NOUN
ejpam-4743	112	10			NOUN
ejpam-4743	112	11	,	,	PUNCT
ejpam-4743	112	12	(	(	PUNCT
ejpam-4743	112	13	19	19	NUM
ejpam-4743	112	14	)	)	PUNCT
ejpam-4743	112	15	u′′k	u′′k	PROPN
ejpam-4743	112	16	,	,	PUNCT
ejpam-4743	112	17	n(t	n(t	PROPN
ejpam-4743	112	18	)	)	PUNCT
ejpam-4743	112	19	=	=	SYM
ejpam-4743	112	20	1	1	NUM
ejpam-4743	112	21	γ	γ	X
ejpam-4743	112	22	k	k	PROPN
ejpam-4743	112	23	,	,	PUNCT
ejpam-4743	112	24	n	n	PROPN
ejpam-4743	112	25	[	[	PUNCT
ejpam-4743	112	26	µ1,k	µ1,k	PROPN
ejpam-4743	112	27	,	,	PUNCT
ejpam-4743	112	28	nµ2,k	nµ2,k	PROPN
ejpam-4743	112	29	,	,	PUNCT
ejpam-4743	112	30	n	n	PROPN
ejpam-4743	112	31	(	(	PUNCT
ejpam-4743	112	32	µ1,k	µ1,k	PROPN
ejpam-4743	112	33	,	,	PUNCT
ejpam-4743	112	34	ne	ne	PROPN
ejpam-4743	112	35	µ1,k	µ1,k	PROPN
ejpam-4743	112	36	,	,	PUNCT
ejpam-4743	112	37	nt	not	PART
ejpam-4743	112	38	−	−	PROPN
ejpam-4743	112	39	µ2,k	µ2,k	PROPN
ejpam-4743	112	40	,	,	PUNCT
ejpam-4743	112	41	ne	ne	PROPN
ejpam-4743	112	42	µ2,k	µ2,k	PROPN
ejpam-4743	112	43	,	,	PUNCT
ejpam-4743	112	44	nt	not	PART
ejpam-4743	112	45	)	)	PUNCT
ejpam-4743	112	46	ϕk	ϕk	NOUN
ejpam-4743	112	47	,	,	PUNCT
ejpam-4743	112	48	n+	n+	INTJ
ejpam-4743	112	49	,	,	PUNCT
ejpam-4743	112	50	+	+	CCONJ
ejpam-4743	112	51	(	(	PUNCT
ejpam-4743	112	52	µ22,k	µ22,k	ADJ
ejpam-4743	112	53	,	,	PUNCT
ejpam-4743	112	54	ne	ne	PROPN
ejpam-4743	112	55	µ2,k	µ2,k	PROPN
ejpam-4743	112	56	,	,	PUNCT
ejpam-4743	112	57	nt	not	PART
ejpam-4743	112	58	−	−	PROPN
ejpam-4743	112	59	µ21,k	µ21,k	PROPN
ejpam-4743	112	60	,	,	PUNCT
ejpam-4743	112	61	ne	ne	PROPN
ejpam-4743	112	62	µ1,k	µ1,k	PROPN
ejpam-4743	112	63	,	,	PUNCT
ejpam-4743	112	64	nt	not	PART
ejpam-4743	112	65	)	)	PUNCT
ejpam-4743	112	66	ψk	ψk	VERB
ejpam-4743	112	67	,	,	PUNCT
ejpam-4743	112	68	n+	n+	PUNCT
ejpam-4743	112	69	+	+	CCONJ
ejpam-4743	112	70	t∫	t∫	PRON
ejpam-4743	112	71	0	0	NUM
ejpam-4743	112	72	fk	fk	INTJ
ejpam-4743	112	73	,	,	PUNCT
ejpam-4743	112	74	n(τ	n(τ	PROPN
ejpam-4743	112	75	;	;	PUNCT
ejpam-4743	112	76	u	u	NOUN
ejpam-4743	112	77	,	,	PUNCT
ejpam-4743	112	78	a	a	PRON
ejpam-4743	112	79	)	)	PUNCT
ejpam-4743	112	80	(	(	PUNCT
ejpam-4743	112	81	µ22,k	µ22,k	PROPN
ejpam-4743	112	82	,	,	PUNCT
ejpam-4743	112	83	ne	ne	PROPN
ejpam-4743	112	84	µ2,k	µ2,k	PROPN
ejpam-4743	112	85	,	,	PUNCT
ejpam-4743	112	86	n(t−τ	n(t−τ	PROPN
ejpam-4743	112	87	)	)	PUNCT
ejpam-4743	112	88	−	−	PROPN
ejpam-4743	112	89	µ21,k	µ21,k	PROPN
ejpam-4743	112	90	,	,	PUNCT
ejpam-4743	112	91	ne	ne	PROPN
ejpam-4743	112	92	µ1,k	µ1,k	PROPN
ejpam-4743	112	93	,	,	PUNCT
ejpam-4743	112	94	n(t−τ	n(t−τ	NOUN
ejpam-4743	112	95	)	)	PUNCT
ejpam-4743	112	96	)	)	PUNCT
ejpam-4743	112	97	dτ	dτ	PROPN
ejpam-4743	113	1	+	+	PROPN
ejpam-4743	113	2	fk	fk	PROPN
ejpam-4743	113	3	,	,	PUNCT
ejpam-4743	113	4	n(t;u	n(t;u	PROPN
ejpam-4743	113	5	,	,	PUNCT
ejpam-4743	113	6	a	a	PRON
ejpam-4743	113	7	)	)	PUNCT
ejpam-4743	113	8	.	.	PUNCT
ejpam-4743	114	1	(	(	PUNCT
ejpam-4743	114	2	20	20	NUM
ejpam-4743	114	3	)	)	PUNCT
ejpam-4743	114	4	due	due	ADP
ejpam-4743	114	5	to	to	ADP
ejpam-4743	114	6	(	(	PUNCT
ejpam-4743	114	7	13	13	NUM
ejpam-4743	114	8	)	)	PUNCT
ejpam-4743	114	9	and	and	CCONJ
ejpam-4743	114	10	(	(	PUNCT
ejpam-4743	114	11	20	20	X
ejpam-4743	114	12	)	)	PUNCT
ejpam-4743	114	13	we	we	PRON
ejpam-4743	114	14	have	have	VERB
ejpam-4743	114	15	:	:	PUNCT
ejpam-4743	114	16	αµ2k	αµ2k	NUM
ejpam-4743	114	17	,	,	PUNCT
ejpam-4743	114	18	nu	nu	NOUN
ejpam-4743	114	19	′	′	NUM
ejpam-4743	114	20	k	k	NOUN
ejpam-4743	114	21	,	,	PUNCT
ejpam-4743	114	22	n(t	n(t	PROPN
ejpam-4743	114	23	)	)	PUNCT
ejpam-4743	114	24	+	+	CCONJ
ejpam-4743	115	1	βµ2k	βµ2k	PROPN
ejpam-4743	115	2	,	,	PUNCT
ejpam-4743	115	3	nuk	nuk	NOUN
ejpam-4743	115	4	,	,	PUNCT
ejpam-4743	115	5	n(t	n(t	PROPN
ejpam-4743	115	6	)	)	PUNCT
ejpam-4743	115	7	=	=	SYM
ejpam-4743	115	8	fk	fk	PROPN
ejpam-4743	115	9	,	,	PUNCT
ejpam-4743	115	10	n(t;u	n(t;u	PROPN
ejpam-4743	115	11	,	,	PUNCT
ejpam-4743	115	12	a	a	PRON
ejpam-4743	115	13	)	)	PUNCT
ejpam-4743	115	14	−	−	PROPN
ejpam-4743	116	1	u′′k	u′′k	PROPN
ejpam-4743	116	2	,	,	PUNCT
ejpam-4743	116	3	n(t	n(t	PROPN
ejpam-4743	116	4	)	)	PUNCT
ejpam-4743	116	5	=	=	PUNCT
ejpam-4743	117	1	=	=	PUNCT
ejpam-4743	117	2	−	−	PROPN
ejpam-4743	117	3	1	1	NUM
ejpam-4743	117	4	γ	γ	X
ejpam-4743	117	5	k	k	PROPN
ejpam-4743	117	6	,	,	PUNCT
ejpam-4743	117	7	n	n	PROPN
ejpam-4743	117	8	[	[	PUNCT
ejpam-4743	117	9	µ1,k	µ1,k	PROPN
ejpam-4743	117	10	,	,	PUNCT
ejpam-4743	117	11	nµ2,k	nµ2,k	PROPN
ejpam-4743	117	12	,	,	PUNCT
ejpam-4743	117	13	n	n	PROPN
ejpam-4743	117	14	(	(	PUNCT
ejpam-4743	117	15	µ1,k	µ1,k	PROPN
ejpam-4743	117	16	,	,	PUNCT
ejpam-4743	117	17	ne	ne	PROPN
ejpam-4743	117	18	µ1,k	µ1,k	PROPN
ejpam-4743	117	19	,	,	PUNCT
ejpam-4743	117	20	nt	not	PART
ejpam-4743	117	21	−	−	PROPN
ejpam-4743	117	22	µ2,k	µ2,k	PROPN
ejpam-4743	117	23	,	,	PUNCT
ejpam-4743	117	24	ne	ne	PROPN
ejpam-4743	117	25	µ2,k	µ2,k	PROPN
ejpam-4743	117	26	,	,	PUNCT
ejpam-4743	117	27	nt	not	PART
ejpam-4743	117	28	)	)	PUNCT
ejpam-4743	117	29	ϕk	ϕk	NOUN
ejpam-4743	117	30	,	,	PUNCT
ejpam-4743	117	31	n+	n+	X
ejpam-4743	117	32	+	+	CCONJ
ejpam-4743	117	33	(	(	PUNCT
ejpam-4743	117	34	µ22,k	µ22,k	ADJ
ejpam-4743	117	35	,	,	PUNCT
ejpam-4743	117	36	ne	ne	PROPN
ejpam-4743	117	37	µ2,k	µ2,k	PROPN
ejpam-4743	117	38	,	,	PUNCT
ejpam-4743	117	39	nt	not	PART
ejpam-4743	117	40	−	−	PROPN
ejpam-4743	117	41	µ21,k	µ21,k	PROPN
ejpam-4743	117	42	,	,	PUNCT
ejpam-4743	117	43	ne	ne	PROPN
ejpam-4743	117	44	µ1,k	µ1,k	PROPN
ejpam-4743	117	45	,	,	PUNCT
ejpam-4743	117	46	nt	not	PART
ejpam-4743	117	47	)	)	PUNCT
ejpam-4743	117	48	ψk	ψk	VERB
ejpam-4743	117	49	,	,	PUNCT
ejpam-4743	117	50	n+	n+	PUNCT
ejpam-4743	118	1	+	+	CCONJ
ejpam-4743	118	2	t∫	t∫	PRON
ejpam-4743	118	3	0	0	NUM
ejpam-4743	118	4	fk	fk	INTJ
ejpam-4743	118	5	,	,	PUNCT
ejpam-4743	118	6	n(τ	n(τ	PROPN
ejpam-4743	118	7	;	;	PUNCT
ejpam-4743	118	8	u	u	NOUN
ejpam-4743	118	9	,	,	PUNCT
ejpam-4743	118	10	a	a	PRON
ejpam-4743	118	11	)	)	PUNCT
ejpam-4743	118	12	(	(	PUNCT
ejpam-4743	118	13	µ22,k	µ22,k	PROPN
ejpam-4743	118	14	,	,	PUNCT
ejpam-4743	118	15	ne	ne	PROPN
ejpam-4743	118	16	µ2,k	µ2,k	PROPN
ejpam-4743	118	17	,	,	PUNCT
ejpam-4743	118	18	n(t−τ	n(t−τ	PROPN
ejpam-4743	118	19	)	)	PUNCT
ejpam-4743	118	20	−	−	PROPN
ejpam-4743	118	21	µ21,k	µ21,k	PROPN
ejpam-4743	118	22	,	,	PUNCT
ejpam-4743	118	23	ne	ne	PROPN
ejpam-4743	118	24	µ1,k	µ1,k	PROPN
ejpam-4743	118	25	,	,	PUNCT
ejpam-4743	118	26	n(t−τ	n(t−τ	NOUN
ejpam-4743	118	27	)	)	PUNCT
ejpam-4743	118	28	)	)	PUNCT
ejpam-4743	118	29	dτ	dτ	NOUN
ejpam-4743	118	30			NOUN
ejpam-4743	118	31	.	.	PUNCT
ejpam-4743	119	1	(	(	PUNCT
ejpam-4743	119	2	21	21	X
ejpam-4743	119	3	)	)	PUNCT
ejpam-4743	119	4	y.	y.	PROPN
ejpam-4743	119	5	t.	t.	PROPN
ejpam-4743	119	6	mehraliyev	mehraliyev	PROPN
ejpam-4743	119	7	,	,	PUNCT
ejpam-4743	119	8	s.	s.	PROPN
ejpam-4743	119	9	r.shafi	r.shafi	PROPN
ejpam-4743	119	10	,	,	PUNCT
ejpam-4743	119	11	a.	a.	NOUN
ejpam-4743	119	12	t.	t.	PROPN
ejpam-4743	119	13	ramazanova	ramazanova	PROPN
ejpam-4743	119	14	/	/	SYM
ejpam-4743	119	15	eur	eur	PROPN
ejpam-4743	119	16	.	.	PUNCT
ejpam-4743	120	1	j.	j.	PROPN
ejpam-4743	120	2	pure	pure	PROPN
ejpam-4743	120	3	appl	appl	PROPN
ejpam-4743	120	4	.	.	PROPN
ejpam-4743	120	5	math	math	PROPN
ejpam-4743	120	6	,	,	PUNCT
ejpam-4743	120	7	16	16	NUM
ejpam-4743	120	8	(	(	PUNCT
ejpam-4743	120	9	2	2	NUM
ejpam-4743	120	10	)	)	PUNCT
ejpam-4743	120	11	(	(	PUNCT
ejpam-4743	120	12	2023	2023	NUM
ejpam-4743	120	13	)	)	PUNCT
ejpam-4743	120	14	,	,	PUNCT
ejpam-4743	120	15	670	670	NUM
ejpam-4743	120	16	-	-	SYM
ejpam-4743	120	17	686	686	NUM
ejpam-4743	120	18	676	676	NUM
ejpam-4743	120	19	in	in	ADP
ejpam-4743	120	20	order	order	NOUN
ejpam-4743	120	21	to	to	PART
ejpam-4743	120	22	obtain	obtain	VERB
ejpam-4743	120	23	an	an	DET
ejpam-4743	120	24	equation	equation	NOUN
ejpam-4743	120	25	for	for	ADP
ejpam-4743	120	26	the	the	DET
ejpam-4743	120	27	second	second	ADJ
ejpam-4743	120	28	component	component	NOUN
ejpam-4743	120	29	a(t	a(t	NOUN
ejpam-4743	120	30	)	)	PUNCT
ejpam-4743	120	31	of	of	ADP
ejpam-4743	120	32	the	the	DET
ejpam-4743	120	33	solution	solution	NOUN
ejpam-4743	120	34	{	{	PUNCT
ejpam-4743	120	35	u(x	u(x	PROPN
ejpam-4743	120	36	,	,	PUNCT
ejpam-4743	120	37	y	y	PROPN
ejpam-4743	120	38	,	,	PUNCT
ejpam-4743	120	39	t	t	PROPN
ejpam-4743	120	40	)	)	PUNCT
ejpam-4743	120	41	,	,	PUNCT
ejpam-4743	120	42	a(t	a(t	NOUN
ejpam-4743	120	43	)	)	PUNCT
ejpam-4743	120	44	}	}	PUNCT
ejpam-4743	120	45	of	of	ADP
ejpam-4743	120	46	problem	problem	NOUN
ejpam-4743	120	47	(	(	PUNCT
ejpam-4743	120	48	1)-(4	1)-(4	NUM
ejpam-4743	120	49	)	)	PUNCT
ejpam-4743	120	50	,	,	PUNCT
ejpam-4743	120	51	(	(	PUNCT
ejpam-4743	120	52	7	7	NUM
ejpam-4743	120	53	)	)	PUNCT
ejpam-4743	121	1	,	,	PUNCT
ejpam-4743	121	2	we	we	PRON
ejpam-4743	121	3	substitute	substitute	VERB
ejpam-4743	121	4	expression	expression	NOUN
ejpam-4743	121	5	(	(	PUNCT
ejpam-4743	121	6	21	21	NUM
ejpam-4743	121	7	)	)	PUNCT
ejpam-4743	121	8	into	into	ADP
ejpam-4743	121	9	(	(	PUNCT
ejpam-4743	121	10	17	17	NUM
ejpam-4743	121	11	):	):	PUNCT
ejpam-4743	121	12	a(t	a(t	NOUN
ejpam-4743	121	13	)	)	PUNCT
ejpam-4743	121	14	=	=	PUNCT
ejpam-4743	122	1	[	[	X
ejpam-4743	122	2	h	h	X
ejpam-4743	122	3	(	(	PUNCT
ejpam-4743	122	4	t)]−1	t)]−1	ADJ
ejpam-4743	122	5	h′′(t)−	h′′(t)−	PROPN
ejpam-4743	122	6	1∫	1∫	NUM
ejpam-4743	122	7	0	0	NUM
ejpam-4743	123	1	1∫	1∫	NUM
ejpam-4743	123	2	0	0	NUM
ejpam-4743	123	3	ω(x	ω(x	NOUN
ejpam-4743	123	4	,	,	PUNCT
ejpam-4743	123	5	y)f(x	y)f(x	PROPN
ejpam-4743	123	6	,	,	PUNCT
ejpam-4743	123	7	y	y	PROPN
ejpam-4743	123	8	,	,	PUNCT
ejpam-4743	123	9	t)dxdy	t)dxdy	X
ejpam-4743	124	1	+	+	X
ejpam-4743	125	1	+	+	CCONJ
ejpam-4743	125	2	∞∑	∞∑	NUM
ejpam-4743	125	3	k=1	k=1	ADP
ejpam-4743	125	4	∞∑	∞∑	NUM
ejpam-4743	125	5	n=1	n=1	PROPN
ejpam-4743	125	6	pk	pk	NOUN
ejpam-4743	125	7	,	,	PUNCT
ejpam-4743	125	8	n	n	CCONJ
ejpam-4743	125	9	µ2k	µ2k	NOUN
ejpam-4743	125	10	,	,	PUNCT
ejpam-4743	125	11	nγk	nγk	PROPN
ejpam-4743	125	12	,	,	PUNCT
ejpam-4743	125	13	n	n	X
ejpam-4743	125	14	[	[	PUNCT
ejpam-4743	125	15	µ1,k	µ1,k	PROPN
ejpam-4743	125	16	,	,	PUNCT
ejpam-4743	125	17	nµ2,k	nµ2,k	PROPN
ejpam-4743	125	18	,	,	PUNCT
ejpam-4743	125	19	n	n	PROPN
ejpam-4743	125	20	(	(	PUNCT
ejpam-4743	125	21	µ1,k	µ1,k	PROPN
ejpam-4743	125	22	,	,	PUNCT
ejpam-4743	125	23	ne	ne	PROPN
ejpam-4743	125	24	µ1,k	µ1,k	PROPN
ejpam-4743	125	25	,	,	PUNCT
ejpam-4743	125	26	nt	not	PART
ejpam-4743	125	27	−	−	PROPN
ejpam-4743	125	28	µ2,k	µ2,k	PROPN
ejpam-4743	125	29	,	,	PUNCT
ejpam-4743	125	30	ne	ne	PROPN
ejpam-4743	125	31	µ2,k	µ2,k	PROPN
ejpam-4743	125	32	,	,	PUNCT
ejpam-4743	125	33	nt	not	PART
ejpam-4743	125	34	)	)	PUNCT
ejpam-4743	125	35	ϕk	ϕk	NOUN
ejpam-4743	125	36	,	,	PUNCT
ejpam-4743	125	37	n+	n+	X
ejpam-4743	125	38	+	+	CCONJ
ejpam-4743	125	39	(	(	PUNCT
ejpam-4743	125	40	µ22,k	µ22,k	ADJ
ejpam-4743	125	41	,	,	PUNCT
ejpam-4743	125	42	ne	ne	PROPN
ejpam-4743	125	43	µ2,k	µ2,k	PROPN
ejpam-4743	125	44	,	,	PUNCT
ejpam-4743	125	45	nt	not	PART
ejpam-4743	125	46	−	−	PROPN
ejpam-4743	125	47	µ21,k	µ21,k	PROPN
ejpam-4743	125	48	,	,	PUNCT
ejpam-4743	125	49	ne	ne	PROPN
ejpam-4743	125	50	µ1,k	µ1,k	PROPN
ejpam-4743	125	51	,	,	PUNCT
ejpam-4743	125	52	nt	not	PART
ejpam-4743	125	53	)	)	PUNCT
ejpam-4743	125	54	ψk	ψk	VERB
ejpam-4743	125	55	,	,	PUNCT
ejpam-4743	125	56	n+	n+	PUNCT
ejpam-4743	125	57	+	+	CCONJ
ejpam-4743	125	58	t∫	t∫	PRON
ejpam-4743	125	59	0	0	NUM
ejpam-4743	125	60	fk	fk	INTJ
ejpam-4743	125	61	,	,	PUNCT
ejpam-4743	125	62	n(τ	n(τ	PROPN
ejpam-4743	125	63	;	;	PUNCT
ejpam-4743	125	64	u	u	NOUN
ejpam-4743	125	65	,	,	PUNCT
ejpam-4743	125	66	a	a	PRON
ejpam-4743	125	67	)	)	PUNCT
ejpam-4743	125	68	(	(	PUNCT
ejpam-4743	125	69	µ22,k	µ22,k	PROPN
ejpam-4743	125	70	,	,	PUNCT
ejpam-4743	125	71	ne	ne	PROPN
ejpam-4743	125	72	µ2,k	µ2,k	PROPN
ejpam-4743	125	73	,	,	PUNCT
ejpam-4743	125	74	n(t−τ	n(t−τ	PROPN
ejpam-4743	125	75	)	)	PUNCT
ejpam-4743	125	76	−	−	PROPN
ejpam-4743	125	77	µ21,k	µ21,k	PROPN
ejpam-4743	125	78	,	,	PUNCT
ejpam-4743	125	79	ne	ne	PROPN
ejpam-4743	125	80	µ1,k	µ1,k	PROPN
ejpam-4743	125	81	,	,	PUNCT
ejpam-4743	125	82	n(t−τ	n(t−τ	NOUN
ejpam-4743	125	83	)	)	PUNCT
ejpam-4743	125	84	)	)	PUNCT
ejpam-4743	126	1	dτ	dτ	INTJ
ejpam-4743	126	2			NOUN
ejpam-4743	126	3	.	.	PUNCT
ejpam-4743	127	1	(	(	PUNCT
ejpam-4743	127	2	22	22	NUM
ejpam-4743	127	3	)	)	PUNCT
ejpam-4743	127	4	thus	thus	ADV
ejpam-4743	127	5	,	,	PUNCT
ejpam-4743	127	6	the	the	DET
ejpam-4743	127	7	solution	solution	NOUN
ejpam-4743	127	8	of	of	ADP
ejpam-4743	127	9	problem	problem	NOUN
ejpam-4743	127	10	(	(	PUNCT
ejpam-4743	127	11	1)-(4),(7	1)-(4),(7	NUM
ejpam-4743	127	12	)	)	PUNCT
ejpam-4743	127	13	is	be	AUX
ejpam-4743	127	14	reduced	reduce	VERB
ejpam-4743	127	15	to	to	ADP
ejpam-4743	127	16	the	the	DET
ejpam-4743	127	17	solution	solution	NOUN
ejpam-4743	127	18	of	of	ADP
ejpam-4743	127	19	system	system	NOUN
ejpam-4743	127	20	(	(	PUNCT
ejpam-4743	127	21	15	15	NUM
ejpam-4743	127	22	)	)	PUNCT
ejpam-4743	127	23	,	,	PUNCT
ejpam-4743	127	24	(	(	PUNCT
ejpam-4743	127	25	22	22	NUM
ejpam-4743	127	26	)	)	PUNCT
ejpam-4743	127	27	with	with	ADP
ejpam-4743	127	28	respect	respect	NOUN
ejpam-4743	127	29	to	to	ADP
ejpam-4743	127	30	unknown	unknown	ADJ
ejpam-4743	127	31	functions	function	NOUN
ejpam-4743	127	32	u(x	u(x	PROPN
ejpam-4743	127	33	,	,	PUNCT
ejpam-4743	127	34	y	y	PROPN
ejpam-4743	127	35	,	,	PUNCT
ejpam-4743	127	36	t	t	PROPN
ejpam-4743	127	37	)	)	PUNCT
ejpam-4743	127	38	and	and	CCONJ
ejpam-4743	127	39	a(t	a(t	NOUN
ejpam-4743	127	40	)	)	PUNCT
ejpam-4743	127	41	.	.	PUNCT
ejpam-4743	128	1	to	to	PART
ejpam-4743	128	2	study	study	VERB
ejpam-4743	128	3	the	the	DET
ejpam-4743	128	4	question	question	NOUN
ejpam-4743	128	5	of	of	ADP
ejpam-4743	128	6	the	the	DET
ejpam-4743	128	7	uniqueness	uniqueness	NOUN
ejpam-4743	128	8	of	of	ADP
ejpam-4743	128	9	the	the	DET
ejpam-4743	128	10	solution	solution	NOUN
ejpam-4743	128	11	of	of	ADP
ejpam-4743	128	12	problem	problem	NOUN
ejpam-4743	128	13	(	(	PUNCT
ejpam-4743	128	14	1)-(4	1)-(4	NUM
ejpam-4743	128	15	)	)	PUNCT
ejpam-4743	128	16	,	,	PUNCT
ejpam-4743	128	17	(	(	PUNCT
ejpam-4743	128	18	7	7	NUM
ejpam-4743	128	19	)	)	PUNCT
ejpam-4743	128	20	,	,	PUNCT
ejpam-4743	128	21	the	the	DET
ejpam-4743	128	22	following	follow	VERB
ejpam-4743	128	23	lemma	lemma	PROPN
ejpam-4743	128	24	plays	play	VERB
ejpam-4743	128	25	an	an	DET
ejpam-4743	128	26	important	important	ADJ
ejpam-4743	128	27	role	role	NOUN
ejpam-4743	128	28	.	.	PUNCT
ejpam-4743	129	1	lemma	lemma	PROPN
ejpam-4743	129	2	1	1	NUM
ejpam-4743	129	3	.	.	PUNCT
ejpam-4743	130	1	if	if	SCONJ
ejpam-4743	130	2	{	{	PUNCT
ejpam-4743	130	3	u(x	u(x	PROPN
ejpam-4743	130	4	,	,	PUNCT
ejpam-4743	130	5	y	y	PROPN
ejpam-4743	130	6	,	,	PUNCT
ejpam-4743	130	7	t	t	PROPN
ejpam-4743	130	8	)	)	PUNCT
ejpam-4743	130	9	,	,	PUNCT
ejpam-4743	130	10	a(t	a(t	NOUN
ejpam-4743	130	11	)	)	PUNCT
ejpam-4743	130	12	}	}	PUNCT
ejpam-4743	130	13	is	be	AUX
ejpam-4743	130	14	any	any	DET
ejpam-4743	130	15	classical	classical	ADJ
ejpam-4743	130	16	solution	solution	NOUN
ejpam-4743	130	17	to	to	ADP
ejpam-4743	130	18	the	the	DET
ejpam-4743	130	19	problem	problem	NOUN
ejpam-4743	130	20	(	(	PUNCT
ejpam-4743	130	21	1)-(4),(7	1)-(4),(7	NUM
ejpam-4743	130	22	)	)	PUNCT
ejpam-4743	130	23	,	,	PUNCT
ejpam-4743	130	24	then	then	ADV
ejpam-4743	130	25	the	the	DET
ejpam-4743	130	26	functions	function	NOUN
ejpam-4743	130	27	uk	uk	PROPN
ejpam-4743	130	28	,	,	PUNCT
ejpam-4743	130	29	n(t	n(t	PROPN
ejpam-4743	130	30	)	)	PUNCT
ejpam-4743	130	31	=	=	PUNCT
ejpam-4743	131	1	4	4	NUM
ejpam-4743	131	2	1∫	1∫	NUM
ejpam-4743	131	3	0	0	NUM
ejpam-4743	132	1	1∫	1∫	NUM
ejpam-4743	132	2	0	0	NUM
ejpam-4743	132	3	u(x	u(x	NOUN
ejpam-4743	132	4	,	,	PUNCT
ejpam-4743	132	5	y	y	PROPN
ejpam-4743	132	6	,	,	PUNCT
ejpam-4743	132	7	t	t	PROPN
ejpam-4743	132	8	)	)	PUNCT
ejpam-4743	132	9	cosλkx	cosλkx	ADJ
ejpam-4743	132	10	sin	sin	NOUN
ejpam-4743	132	11	γnydxdy	γnydxdy	PROPN
ejpam-4743	132	12	,	,	PUNCT
ejpam-4743	132	13	k	k	PROPN
ejpam-4743	132	14	,	,	PUNCT
ejpam-4743	132	15	n	n	NOUN
ejpam-4743	132	16	=	=	SYM
ejpam-4743	132	17	1	1	NUM
ejpam-4743	132	18	,	,	PUNCT
ejpam-4743	132	19	2	2	NUM
ejpam-4743	132	20	,	,	PUNCT
ejpam-4743	132	21	....	....	PUNCT
ejpam-4743	132	22	satisfy	satisfy	NOUN
ejpam-4743	132	23	of	of	ADP
ejpam-4743	132	24	the	the	DET
ejpam-4743	132	25	system	system	NOUN
ejpam-4743	132	26	(	(	PUNCT
ejpam-4743	132	27	15	15	NUM
ejpam-4743	132	28	)	)	PUNCT
ejpam-4743	132	29	.	.	PUNCT
ejpam-4743	133	1	proof	proof	NOUN
ejpam-4743	133	2	.	.	PUNCT
ejpam-4743	134	1	let	let	VERB
ejpam-4743	134	2	{	{	PUNCT
ejpam-4743	134	3	u(x	u(x	PROPN
ejpam-4743	134	4	,	,	PUNCT
ejpam-4743	134	5	t	t	PROPN
ejpam-4743	134	6	)	)	PUNCT
ejpam-4743	134	7	,	,	PUNCT
ejpam-4743	134	8	a(t	a(t	NOUN
ejpam-4743	134	9	)	)	PUNCT
ejpam-4743	134	10	}	}	PUNCT
ejpam-4743	134	11	be	be	AUX
ejpam-4743	134	12	any	any	DET
ejpam-4743	134	13	solution	solution	NOUN
ejpam-4743	134	14	to	to	ADP
ejpam-4743	134	15	the	the	DET
ejpam-4743	134	16	problem	problem	NOUN
ejpam-4743	134	17	(	(	PUNCT
ejpam-4743	134	18	1)-(4	1)-(4	NUM
ejpam-4743	134	19	)	)	PUNCT
ejpam-4743	134	20	,	,	PUNCT
ejpam-4743	134	21	(	(	PUNCT
ejpam-4743	134	22	7	7	NUM
ejpam-4743	134	23	)	)	PUNCT
ejpam-4743	134	24	.	.	PUNCT
ejpam-4743	135	1	then	then	ADV
ejpam-4743	135	2	multiplying	multiply	VERB
ejpam-4743	135	3	both	both	DET
ejpam-4743	135	4	sides	side	NOUN
ejpam-4743	135	5	of	of	ADP
ejpam-4743	135	6	equation	equation	NOUN
ejpam-4743	135	7	(	(	PUNCT
ejpam-4743	135	8	1	1	NUM
ejpam-4743	135	9	)	)	PUNCT
ejpam-4743	135	10	,	,	PUNCT
ejpam-4743	135	11	by	by	ADP
ejpam-4743	135	12	the	the	DET
ejpam-4743	135	13	function	function	NOUN
ejpam-4743	135	14	4	4	NUM
ejpam-4743	135	15	cosλkx	cosλkx	NOUN
ejpam-4743	135	16	sin	sin	NOUN
ejpam-4743	135	17	γny	γny	NOUN
ejpam-4743	135	18	,	,	PUNCT
ejpam-4743	135	19	(	(	PUNCT
ejpam-4743	135	20	k	k	NOUN
ejpam-4743	135	21	=	=	SYM
ejpam-4743	135	22	1	1	NUM
ejpam-4743	135	23	,	,	PUNCT
ejpam-4743	135	24	2	2	NUM
ejpam-4743	135	25	,	,	PUNCT
ejpam-4743	135	26	...	...	PUNCT
ejpam-4743	135	27	;	;	PUNCT
ejpam-4743	135	28	n	n	X
ejpam-4743	135	29	=	=	SYM
ejpam-4743	135	30	1	1	NUM
ejpam-4743	135	31	,	,	PUNCT
ejpam-4743	135	32	2	2	NUM
ejpam-4743	135	33	,	,	PUNCT
ejpam-4743	135	34	...	...	PUNCT
ejpam-4743	135	35	)	)	PUNCT
ejpam-4743	135	36	,	,	PUNCT
ejpam-4743	135	37	integrating	integrate	VERB
ejpam-4743	135	38	the	the	DET
ejpam-4743	135	39	resulting	result	VERB
ejpam-4743	135	40	equality	equality	NOUN
ejpam-4743	135	41	over	over	ADP
ejpam-4743	135	42	x	x	PUNCT
ejpam-4743	135	43	and	and	CCONJ
ejpam-4743	135	44	y	y	PROPN
ejpam-4743	135	45	from	from	ADP
ejpam-4743	135	46	0	0	NUM
ejpam-4743	135	47	to	to	ADP
ejpam-4743	135	48	1	1	NUM
ejpam-4743	135	49	,	,	PUNCT
ejpam-4743	135	50	and	and	CCONJ
ejpam-4743	135	51	using	use	VERB
ejpam-4743	135	52	the	the	DET
ejpam-4743	135	53	relations	relation	NOUN
ejpam-4743	135	54	4	4	NUM
ejpam-4743	135	55	1∫	1∫	NUM
ejpam-4743	135	56	0	0	NUM
ejpam-4743	136	1	1∫	1∫	NUM
ejpam-4743	136	2	0	0	NUM
ejpam-4743	137	1	utt(x	utt(x	PROPN
ejpam-4743	137	2	,	,	PUNCT
ejpam-4743	137	3	y	y	PROPN
ejpam-4743	137	4	,	,	PUNCT
ejpam-4743	137	5	t	t	PROPN
ejpam-4743	137	6	)	)	PUNCT
ejpam-4743	137	7	cosλkx	cosλkx	ADJ
ejpam-4743	137	8	sin	sin	NOUN
ejpam-4743	137	9	γnydxdy	γnydxdy	NOUN
ejpam-4743	137	10	=	=	PUNCT
ejpam-4743	137	11	=	=	SYM
ejpam-4743	137	12	d2	d2	PROPN
ejpam-4743	137	13	dt2	dt2	PROPN
ejpam-4743	137	14	4	4	NOUN
ejpam-4743	137	15	1∫	1∫	NUM
ejpam-4743	137	16	0	0	NUM
ejpam-4743	138	1	1∫	1∫	NUM
ejpam-4743	138	2	0	0	NUM
ejpam-4743	138	3	u(x	u(x	NOUN
ejpam-4743	138	4	,	,	PUNCT
ejpam-4743	138	5	y	y	PROPN
ejpam-4743	138	6	,	,	PUNCT
ejpam-4743	138	7	t	t	PROPN
ejpam-4743	138	8	)	)	PUNCT
ejpam-4743	138	9	cosλkx	cosλkx	ADJ
ejpam-4743	138	10	sin	sin	NOUN
ejpam-4743	138	11	γnydxdy	γnydxdy	NOUN
ejpam-4743	138	12			PROPN
ejpam-4743	138	13	=	=	SYM
ejpam-4743	138	14	u′′k	u′′k	PROPN
ejpam-4743	138	15	,	,	PUNCT
ejpam-4743	138	16	n(t	n(t	PROPN
ejpam-4743	138	17	)	)	PUNCT
ejpam-4743	138	18	(	(	PUNCT
ejpam-4743	138	19	k	k	NOUN
ejpam-4743	138	20	=	=	SYM
ejpam-4743	138	21	1	1	NUM
ejpam-4743	138	22	,	,	PUNCT
ejpam-4743	138	23	2	2	NUM
ejpam-4743	138	24	,	,	PUNCT
ejpam-4743	138	25	...	...	PUNCT
ejpam-4743	138	26	;	;	PUNCT
ejpam-4743	138	27	n	n	X
ejpam-4743	138	28	=	=	SYM
ejpam-4743	138	29	1	1	NUM
ejpam-4743	138	30	,	,	PUNCT
ejpam-4743	138	31	2	2	NUM
ejpam-4743	138	32	,	,	PUNCT
ejpam-4743	138	33	...	...	PUNCT
ejpam-4743	138	34	)	)	PUNCT
ejpam-4743	138	35	,	,	PUNCT
ejpam-4743	138	36	y.	y.	PROPN
ejpam-4743	138	37	t.	t.	PROPN
ejpam-4743	138	38	mehraliyev	mehraliyev	PROPN
ejpam-4743	138	39	,	,	PUNCT
ejpam-4743	138	40	s.	s.	PROPN
ejpam-4743	138	41	r.shafi	r.shafi	PROPN
ejpam-4743	138	42	,	,	PUNCT
ejpam-4743	138	43	a.	a.	NOUN
ejpam-4743	138	44	t.	t.	PROPN
ejpam-4743	138	45	ramazanova	ramazanova	PROPN
ejpam-4743	138	46	/	/	SYM
ejpam-4743	138	47	eur	eur	PROPN
ejpam-4743	138	48	.	.	PUNCT
ejpam-4743	139	1	j.	j.	PROPN
ejpam-4743	139	2	pure	pure	PROPN
ejpam-4743	139	3	appl	appl	PROPN
ejpam-4743	139	4	.	.	PROPN
ejpam-4743	139	5	math	math	PROPN
ejpam-4743	139	6	,	,	PUNCT
ejpam-4743	139	7	16	16	NUM
ejpam-4743	139	8	(	(	PUNCT
ejpam-4743	139	9	2	2	NUM
ejpam-4743	139	10	)	)	PUNCT
ejpam-4743	139	11	(	(	PUNCT
ejpam-4743	139	12	2023	2023	NUM
ejpam-4743	139	13	)	)	PUNCT
ejpam-4743	139	14	,	,	PUNCT
ejpam-4743	139	15	670	670	NUM
ejpam-4743	139	16	-	-	SYM
ejpam-4743	139	17	686	686	NUM
ejpam-4743	139	18	677	677	NUM
ejpam-4743	139	19	4	4	NUM
ejpam-4743	139	20	1∫	1∫	NUM
ejpam-4743	139	21	0	0	NUM
ejpam-4743	140	1	1∫	1∫	NUM
ejpam-4743	140	2	0	0	NUM
ejpam-4743	140	3	uxx(x	uxx(x	PROPN
ejpam-4743	140	4	,	,	PUNCT
ejpam-4743	140	5	y	y	PROPN
ejpam-4743	140	6	,	,	PUNCT
ejpam-4743	140	7	t	t	PROPN
ejpam-4743	140	8	)	)	PUNCT
ejpam-4743	140	9	cosλkx	cosλkx	ADJ
ejpam-4743	140	10	sin	sin	NOUN
ejpam-4743	140	11	γnydxdy	γnydxdy	NOUN
ejpam-4743	140	12	=	=	PUNCT
ejpam-4743	140	13	=	=	SYM
ejpam-4743	140	14	−λ2k	−λ2k	X
ejpam-4743	140	15	4	4	NOUN
ejpam-4743	140	16	1∫	1∫	NUM
ejpam-4743	140	17	0	0	NUM
ejpam-4743	141	1	1∫	1∫	NUM
ejpam-4743	141	2	0	0	NUM
ejpam-4743	141	3	u(x	u(x	NOUN
ejpam-4743	141	4	,	,	PUNCT
ejpam-4743	141	5	y	y	PROPN
ejpam-4743	141	6	,	,	PUNCT
ejpam-4743	141	7	t	t	PROPN
ejpam-4743	141	8	)	)	PUNCT
ejpam-4743	141	9	cosλkx	cosλkx	ADJ
ejpam-4743	141	10	sin	sin	NOUN
ejpam-4743	141	11	γnydxdy	γnydxdy	NOUN
ejpam-4743	141	12			PROPN
ejpam-4743	141	13	=	=	SYM
ejpam-4743	141	14	−λ2kuk	−λ2kuk	PROPN
ejpam-4743	141	15	,	,	PUNCT
ejpam-4743	141	16	n(t	n(t	PROPN
ejpam-4743	141	17	)	)	PUNCT
ejpam-4743	141	18	(	(	PUNCT
ejpam-4743	141	19	k	k	NOUN
ejpam-4743	141	20	=	=	SYM
ejpam-4743	141	21	1	1	NUM
ejpam-4743	141	22	,	,	PUNCT
ejpam-4743	141	23	2	2	NUM
ejpam-4743	141	24	,	,	PUNCT
ejpam-4743	141	25	...	...	PUNCT
ejpam-4743	141	26	;	;	PUNCT
ejpam-4743	141	27	n	n	X
ejpam-4743	141	28	=	=	SYM
ejpam-4743	141	29	1	1	NUM
ejpam-4743	141	30	,	,	PUNCT
ejpam-4743	141	31	2	2	NUM
ejpam-4743	141	32	,	,	PUNCT
ejpam-4743	141	33	...	...	PUNCT
ejpam-4743	141	34	)	)	PUNCT
ejpam-4743	141	35	,	,	PUNCT
ejpam-4743	141	36	4	4	NUM
ejpam-4743	141	37	1∫	1∫	NUM
ejpam-4743	141	38	0	0	NUM
ejpam-4743	142	1	1∫	1∫	NUM
ejpam-4743	142	2	0	0	NUM
ejpam-4743	142	3	uyy(x	uyy(x	PROPN
ejpam-4743	142	4	,	,	PUNCT
ejpam-4743	142	5	y	y	PROPN
ejpam-4743	142	6	,	,	PUNCT
ejpam-4743	142	7	t	t	PROPN
ejpam-4743	142	8	)	)	PUNCT
ejpam-4743	142	9	cosλkx	cosλkx	ADJ
ejpam-4743	142	10	sin	sin	NOUN
ejpam-4743	142	11	γnydxdy	γnydxdy	NOUN
ejpam-4743	142	12	=	=	PUNCT
ejpam-4743	142	13	−γ2n	−γ2n	NOUN
ejpam-4743	142	14	4	4	NOUN
ejpam-4743	142	15	1∫	1∫	NUM
ejpam-4743	142	16	0	0	NUM
ejpam-4743	143	1	1∫	1∫	NUM
ejpam-4743	143	2	0	0	NUM
ejpam-4743	143	3	u(x	u(x	NOUN
ejpam-4743	143	4	,	,	PUNCT
ejpam-4743	143	5	y	y	PROPN
ejpam-4743	143	6	,	,	PUNCT
ejpam-4743	143	7	t	t	PROPN
ejpam-4743	143	8	)	)	PUNCT
ejpam-4743	143	9	cosλkx	cosλkx	ADJ
ejpam-4743	143	10	sin	sin	NOUN
ejpam-4743	143	11	γnydxdy	γnydxdy	NOUN
ejpam-4743	143	12			PROPN
ejpam-4743	143	13	=	=	SYM
ejpam-4743	143	14	−γ2nuk	−γ2nuk	PROPN
ejpam-4743	143	15	,	,	PUNCT
ejpam-4743	143	16	n(t	n(t	PROPN
ejpam-4743	143	17	)	)	PUNCT
ejpam-4743	143	18	(	(	PUNCT
ejpam-4743	143	19	k	k	NOUN
ejpam-4743	143	20	=	=	SYM
ejpam-4743	143	21	1	1	NUM
ejpam-4743	143	22	,	,	PUNCT
ejpam-4743	143	23	2	2	NUM
ejpam-4743	143	24	,	,	PUNCT
ejpam-4743	143	25	...	...	PUNCT
ejpam-4743	143	26	;	;	PUNCT
ejpam-4743	143	27	n	n	X
ejpam-4743	143	28	=	=	SYM
ejpam-4743	143	29	1	1	NUM
ejpam-4743	143	30	,	,	PUNCT
ejpam-4743	143	31	2	2	NUM
ejpam-4743	143	32	,	,	PUNCT
ejpam-4743	143	33	...	...	PUNCT
ejpam-4743	143	34	)	)	PUNCT
ejpam-4743	143	35	,	,	PUNCT
ejpam-4743	143	36	4	4	NUM
ejpam-4743	143	37	1∫	1∫	NUM
ejpam-4743	143	38	0	0	NUM
ejpam-4743	144	1	1∫	1∫	NUM
ejpam-4743	144	2	0	0	NUM
ejpam-4743	145	1	utxx(x	utxx(x	ADV
ejpam-4743	145	2	,	,	PUNCT
ejpam-4743	145	3	y	y	PROPN
ejpam-4743	145	4	,	,	PUNCT
ejpam-4743	145	5	t	t	PROPN
ejpam-4743	145	6	)	)	PUNCT
ejpam-4743	145	7	cosλkx	cosλkx	ADJ
ejpam-4743	145	8	sin	sin	NOUN
ejpam-4743	145	9	γnydxdy	γnydxdy	NOUN
ejpam-4743	145	10	=	=	PUNCT
ejpam-4743	145	11	=	=	SYM
ejpam-4743	145	12	−λ2k	−λ2k	X
ejpam-4743	145	13	4	4	NOUN
ejpam-4743	145	14	1∫	1∫	NUM
ejpam-4743	145	15	0	0	NUM
ejpam-4743	146	1	1∫	1∫	NUM
ejpam-4743	146	2	0	0	NUM
ejpam-4743	146	3	ut(x	ut(x	NOUN
ejpam-4743	146	4	,	,	PUNCT
ejpam-4743	146	5	y	y	PROPN
ejpam-4743	146	6	,	,	PUNCT
ejpam-4743	146	7	t	t	PROPN
ejpam-4743	146	8	)	)	PUNCT
ejpam-4743	146	9	cosλkx	cosλkx	ADJ
ejpam-4743	146	10	sin	sin	NOUN
ejpam-4743	146	11	γnydxdy	γnydxdy	NOUN
ejpam-4743	146	12			PROPN
ejpam-4743	146	13	=	=	SYM
ejpam-4743	146	14	−λ2ku′k	−λ2ku′k	PROPN
ejpam-4743	146	15	,	,	PUNCT
ejpam-4743	146	16	n(t	n(t	PROPN
ejpam-4743	146	17	)	)	PUNCT
ejpam-4743	146	18	(	(	PUNCT
ejpam-4743	146	19	k	k	NOUN
ejpam-4743	146	20	=	=	SYM
ejpam-4743	146	21	1	1	NUM
ejpam-4743	146	22	,	,	PUNCT
ejpam-4743	146	23	2	2	NUM
ejpam-4743	146	24	,	,	PUNCT
ejpam-4743	146	25	...	...	PUNCT
ejpam-4743	146	26	;	;	PUNCT
ejpam-4743	146	27	n	n	X
ejpam-4743	146	28	=	=	SYM
ejpam-4743	146	29	1	1	NUM
ejpam-4743	146	30	,	,	PUNCT
ejpam-4743	146	31	2	2	NUM
ejpam-4743	146	32	,	,	PUNCT
ejpam-4743	146	33	...	...	PUNCT
ejpam-4743	146	34	)	)	PUNCT
ejpam-4743	146	35	,	,	PUNCT
ejpam-4743	147	1	1∫	1∫	NUM
ejpam-4743	147	2	0	0	NUM
ejpam-4743	147	3	1∫	1∫	NUM
ejpam-4743	147	4	0	0	NUM
ejpam-4743	147	5	utyy(x	utyy(x	PROPN
ejpam-4743	147	6	,	,	PUNCT
ejpam-4743	147	7	y	y	PROPN
ejpam-4743	147	8	,	,	PUNCT
ejpam-4743	147	9	t	t	PROPN
ejpam-4743	147	10	)	)	PUNCT
ejpam-4743	147	11	cosλkx	cosλkx	ADJ
ejpam-4743	147	12	sin	sin	NOUN
ejpam-4743	147	13	γnydxdy	γnydxdy	NOUN
ejpam-4743	147	14	=	=	PUNCT
ejpam-4743	147	15	=	=	PUNCT
ejpam-4743	147	16	−γ2n	−γ2n	NOUN
ejpam-4743	147	17	4	4	NOUN
ejpam-4743	147	18	1∫	1∫	NUM
ejpam-4743	147	19	0	0	NUM
ejpam-4743	148	1	1∫	1∫	NUM
ejpam-4743	148	2	0	0	NUM
ejpam-4743	148	3	ut(x	ut(x	NOUN
ejpam-4743	148	4	,	,	PUNCT
ejpam-4743	148	5	y	y	PROPN
ejpam-4743	148	6	,	,	PUNCT
ejpam-4743	148	7	t	t	PROPN
ejpam-4743	148	8	)	)	PUNCT
ejpam-4743	148	9	cosλkx	cosλkx	ADJ
ejpam-4743	148	10	sin	sin	NOUN
ejpam-4743	148	11	γnydxdy	γnydxdy	NOUN
ejpam-4743	148	12			PROPN
ejpam-4743	148	13	=	=	SYM
ejpam-4743	148	14	−γ2nu′′k	−γ2nu′′k	PROPN
ejpam-4743	148	15	,	,	PUNCT
ejpam-4743	148	16	n(t	n(t	PROPN
ejpam-4743	148	17	)	)	PUNCT
ejpam-4743	148	18	(	(	PUNCT
ejpam-4743	148	19	k	k	NOUN
ejpam-4743	148	20	=	=	SYM
ejpam-4743	148	21	1	1	NUM
ejpam-4743	148	22	,	,	PUNCT
ejpam-4743	148	23	2	2	NUM
ejpam-4743	148	24	,	,	PUNCT
ejpam-4743	148	25	...	...	PUNCT
ejpam-4743	148	26	;	;	PUNCT
ejpam-4743	148	27	n	n	X
ejpam-4743	148	28	=	=	SYM
ejpam-4743	148	29	1	1	NUM
ejpam-4743	148	30	,	,	PUNCT
ejpam-4743	148	31	2	2	NUM
ejpam-4743	148	32	,	,	PUNCT
ejpam-4743	148	33	...	...	PUNCT
ejpam-4743	148	34	)	)	PUNCT
ejpam-4743	148	35	,	,	PUNCT
ejpam-4743	148	36	we	we	PRON
ejpam-4743	148	37	obtain	obtain	VERB
ejpam-4743	148	38	that	that	DET
ejpam-4743	148	39	equation	equation	NOUN
ejpam-4743	148	40	(	(	PUNCT
ejpam-4743	148	41	13	13	NUM
ejpam-4743	148	42	)	)	PUNCT
ejpam-4743	148	43	is	be	AUX
ejpam-4743	148	44	satisfied	satisfied	ADJ
ejpam-4743	148	45	.	.	PUNCT
ejpam-4743	149	1	similarly	similarly	ADV
ejpam-4743	149	2	,	,	PUNCT
ejpam-4743	149	3	from	from	ADP
ejpam-4743	149	4	(	(	PUNCT
ejpam-4743	149	5	2	2	X
ejpam-4743	149	6	)	)	PUNCT
ejpam-4743	149	7	we	we	PRON
ejpam-4743	149	8	conclude	conclude	VERB
ejpam-4743	149	9	at	at	ADP
ejpam-4743	149	10	condition	condition	NOUN
ejpam-4743	149	11	(	(	PUNCT
ejpam-4743	149	12	14	14	NUM
ejpam-4743	149	13	)	)	PUNCT
ejpam-4743	149	14	.	.	PUNCT
ejpam-4743	150	1	thus	thus	ADV
ejpam-4743	150	2	,	,	PUNCT
ejpam-4743	150	3	uk	uk	PROPN
ejpam-4743	150	4	,	,	PUNCT
ejpam-4743	150	5	n(t	n(t	PROPN
ejpam-4743	150	6	)	)	PUNCT
ejpam-4743	150	7	(	(	PUNCT
ejpam-4743	150	8	k	k	NOUN
ejpam-4743	150	9	=	=	SYM
ejpam-4743	150	10	1	1	NUM
ejpam-4743	150	11	,	,	PUNCT
ejpam-4743	150	12	2	2	NUM
ejpam-4743	150	13	,	,	PUNCT
ejpam-4743	150	14	...	...	PUNCT
ejpam-4743	150	15	;	;	PUNCT
ejpam-4743	150	16	n	n	X
ejpam-4743	150	17	=	=	SYM
ejpam-4743	150	18	1	1	NUM
ejpam-4743	150	19	,	,	PUNCT
ejpam-4743	150	20	2	2	NUM
ejpam-4743	150	21	,	,	PUNCT
ejpam-4743	150	22	...	...	PUNCT
ejpam-4743	150	23	)	)	PUNCT
ejpam-4743	150	24	are	be	AUX
ejpam-4743	150	25	a	a	DET
ejpam-4743	150	26	solution	solution	NOUN
ejpam-4743	150	27	to	to	ADP
ejpam-4743	150	28	problem	problem	NOUN
ejpam-4743	150	29	(	(	PUNCT
ejpam-4743	150	30	13	13	NUM
ejpam-4743	150	31	)	)	PUNCT
ejpam-4743	150	32	,	,	PUNCT
ejpam-4743	150	33	(	(	PUNCT
ejpam-4743	150	34	14	14	NUM
ejpam-4743	150	35	)	)	PUNCT
ejpam-4743	150	36	.	.	PUNCT
ejpam-4743	151	1	then	then	ADV
ejpam-4743	151	2	from	from	ADP
ejpam-4743	151	3	this	this	PRON
ejpam-4743	151	4	,	,	PUNCT
ejpam-4743	151	5	it	it	PRON
ejpam-4743	151	6	directly	directly	ADV
ejpam-4743	151	7	follows	follow	VERB
ejpam-4743	151	8	that	that	SCONJ
ejpam-4743	151	9	the	the	DET
ejpam-4743	151	10	functions	function	NOUN
ejpam-4743	151	11	uk	uk	PROPN
ejpam-4743	151	12	,	,	PUNCT
ejpam-4743	151	13	n(t	n(t	PROPN
ejpam-4743	151	14	)	)	PUNCT
ejpam-4743	151	15	(	(	PUNCT
ejpam-4743	151	16	k	k	NOUN
ejpam-4743	151	17	=	=	SYM
ejpam-4743	151	18	1	1	NUM
ejpam-4743	151	19	,	,	PUNCT
ejpam-4743	151	20	2	2	NUM
ejpam-4743	151	21	,	,	PUNCT
ejpam-4743	151	22	...	...	PUNCT
ejpam-4743	151	23	;	;	PUNCT
ejpam-4743	151	24	n	n	X
ejpam-4743	151	25	=	=	SYM
ejpam-4743	151	26	1	1	NUM
ejpam-4743	151	27	,	,	PUNCT
ejpam-4743	151	28	2	2	NUM
ejpam-4743	151	29	,	,	PUNCT
ejpam-4743	151	30	...	...	PUNCT
ejpam-4743	151	31	)	)	PUNCT
ejpam-4743	151	32	satisfy	satisfy	VERB
ejpam-4743	151	33	on	on	ADP
ejpam-4743	151	34	[	[	X
ejpam-4743	151	35	0	0	NUM
ejpam-4743	151	36	,	,	PUNCT
ejpam-4743	151	37	t	t	NOUN
ejpam-4743	151	38	]	]	PUNCT
ejpam-4743	151	39	of	of	ADP
ejpam-4743	151	40	the	the	DET
ejpam-4743	151	41	system	system	NOUN
ejpam-4743	151	42	(	(	PUNCT
ejpam-4743	151	43	15	15	NUM
ejpam-4743	151	44	)	)	PUNCT
ejpam-4743	151	45	.	.	PUNCT
ejpam-4743	152	1	y.	y.	PROPN
ejpam-4743	152	2	t.	t.	PROPN
ejpam-4743	152	3	mehraliyev	mehraliyev	PROPN
ejpam-4743	152	4	,	,	PUNCT
ejpam-4743	152	5	s.	s.	PROPN
ejpam-4743	152	6	r.shafi	r.shafi	PROPN
ejpam-4743	152	7	,	,	PUNCT
ejpam-4743	152	8	a.	a.	NOUN
ejpam-4743	152	9	t.	t.	PROPN
ejpam-4743	152	10	ramazanova	ramazanova	PROPN
ejpam-4743	152	11	/	/	SYM
ejpam-4743	152	12	eur	eur	PROPN
ejpam-4743	152	13	.	.	PUNCT
ejpam-4743	153	1	j.	j.	PROPN
ejpam-4743	153	2	pure	pure	PROPN
ejpam-4743	153	3	appl	appl	PROPN
ejpam-4743	153	4	.	.	PROPN
ejpam-4743	153	5	math	math	PROPN
ejpam-4743	153	6	,	,	PUNCT
ejpam-4743	153	7	16	16	NUM
ejpam-4743	153	8	(	(	PUNCT
ejpam-4743	153	9	2	2	NUM
ejpam-4743	153	10	)	)	PUNCT
ejpam-4743	153	11	(	(	PUNCT
ejpam-4743	153	12	2023	2023	NUM
ejpam-4743	153	13	)	)	PUNCT
ejpam-4743	153	14	,	,	PUNCT
ejpam-4743	153	15	670	670	NUM
ejpam-4743	153	16	-	-	SYM
ejpam-4743	153	17	686	686	NUM
ejpam-4743	153	18	678	678	NUM
ejpam-4743	153	19	it	it	PRON
ejpam-4743	153	20	is	be	AUX
ejpam-4743	153	21	obvious	obvious	ADJ
ejpam-4743	153	22	that	that	SCONJ
ejpam-4743	153	23	if	if	SCONJ
ejpam-4743	153	24	uk	uk	PROPN
ejpam-4743	153	25	,	,	PUNCT
ejpam-4743	153	26	n(t	n(t	PROPN
ejpam-4743	153	27	)	)	PUNCT
ejpam-4743	153	28	=	=	PUNCT
ejpam-4743	154	1	4	4	NUM
ejpam-4743	155	1	1∫	1∫	NUM
ejpam-4743	155	2	0	0	NUM
ejpam-4743	156	1	1∫	1∫	NUM
ejpam-4743	156	2	0	0	NUM
ejpam-4743	156	3	u(x	u(x	NOUN
ejpam-4743	156	4	,	,	PUNCT
ejpam-4743	156	5	y	y	PROPN
ejpam-4743	156	6	,	,	PUNCT
ejpam-4743	156	7	t	t	PROPN
ejpam-4743	156	8	)	)	PUNCT
ejpam-4743	156	9	cosλkx	cosλkx	ADJ
ejpam-4743	156	10	sin	sin	NOUN
ejpam-4743	156	11	γnydxdy	γnydxdy	NOUN
ejpam-4743	156	12	,	,	PUNCT
ejpam-4743	156	13	(	(	PUNCT
ejpam-4743	156	14	k	k	NOUN
ejpam-4743	156	15	=	=	SYM
ejpam-4743	156	16	1	1	NUM
ejpam-4743	156	17	,	,	PUNCT
ejpam-4743	156	18	2	2	NUM
ejpam-4743	156	19	,	,	PUNCT
ejpam-4743	156	20	...	...	PUNCT
ejpam-4743	156	21	;	;	PUNCT
ejpam-4743	156	22	n	n	X
ejpam-4743	156	23	=	=	SYM
ejpam-4743	156	24	1	1	NUM
ejpam-4743	156	25	,	,	PUNCT
ejpam-4743	156	26	2	2	NUM
ejpam-4743	156	27	,	,	PUNCT
ejpam-4743	156	28	...	...	PUNCT
ejpam-4743	156	29	)	)	PUNCT
ejpam-4743	156	30	are	be	AUX
ejpam-4743	156	31	a	a	DET
ejpam-4743	156	32	solution	solution	NOUN
ejpam-4743	156	33	of	of	ADP
ejpam-4743	156	34	system	system	NOUN
ejpam-4743	156	35	(	(	PUNCT
ejpam-4743	156	36	15	15	NUM
ejpam-4743	156	37	)	)	PUNCT
ejpam-4743	156	38	,	,	PUNCT
ejpam-4743	156	39	then	then	ADV
ejpam-4743	156	40	the	the	DET
ejpam-4743	156	41	pair	pair	NOUN
ejpam-4743	156	42	{	{	PUNCT
ejpam-4743	156	43	u(x	u(x	PROPN
ejpam-4743	156	44	,	,	PUNCT
ejpam-4743	156	45	t	t	PROPN
ejpam-4743	156	46	)	)	PUNCT
ejpam-4743	156	47	,	,	PUNCT
ejpam-4743	156	48	a(t	a(t	NOUN
ejpam-4743	156	49	)	)	PUNCT
ejpam-4743	156	50	}	}	PUNCT
ejpam-4743	156	51	of	of	ADP
ejpam-4743	156	52	the	the	DET
ejpam-4743	156	53	functions	function	NOUN
ejpam-4743	156	54	u(x	u(x	NOUN
ejpam-4743	156	55	,	,	PUNCT
ejpam-4743	156	56	y	y	PROPN
ejpam-4743	156	57	,	,	PUNCT
ejpam-4743	156	58	t	t	PROPN
ejpam-4743	156	59	)	)	PUNCT
ejpam-4743	156	60	=	=	NOUN
ejpam-4743	157	1	∞∑	∞∑	NUM
ejpam-4743	157	2	n=1	n=1	ADP
ejpam-4743	157	3	∞∑	∞∑	ADJ
ejpam-4743	157	4	k=1	k=1	PROPN
ejpam-4743	157	5	uk	uk	PROPN
ejpam-4743	157	6	,	,	PUNCT
ejpam-4743	157	7	n(t	n(t	PROPN
ejpam-4743	157	8	)	)	PUNCT
ejpam-4743	157	9	cosλkx	cosλkx	ADJ
ejpam-4743	157	10	sin	sin	NOUN
ejpam-4743	157	11	γny	γny	NOUN
ejpam-4743	157	12	and	and	CCONJ
ejpam-4743	157	13	a(t	a(t	NOUN
ejpam-4743	157	14	)	)	PUNCT
ejpam-4743	157	15	is	be	AUX
ejpam-4743	157	16	a	a	DET
ejpam-4743	157	17	solution	solution	NOUN
ejpam-4743	157	18	of	of	ADP
ejpam-4743	157	19	system	system	NOUN
ejpam-4743	157	20	(	(	PUNCT
ejpam-4743	157	21	15	15	NUM
ejpam-4743	157	22	)	)	PUNCT
ejpam-4743	157	23	,	,	PUNCT
ejpam-4743	157	24	(	(	PUNCT
ejpam-4743	157	25	21	21	NUM
ejpam-4743	157	26	)	)	PUNCT
ejpam-4743	157	27	.	.	PUNCT
ejpam-4743	158	1	from	from	ADP
ejpam-4743	158	2	lemma	lemma	PROPN
ejpam-4743	158	3	1	1	NUM
ejpam-4743	158	4	it	it	PRON
ejpam-4743	158	5	follows	follow	VERB
ejpam-4743	158	6	that	that	SCONJ
ejpam-4743	158	7	:	:	PUNCT
ejpam-4743	158	8	remark	remark	NOUN
ejpam-4743	158	9	1	1	NUM
ejpam-4743	158	10	.	.	PUNCT
ejpam-4743	159	1	let	let	VERB
ejpam-4743	159	2	system	system	NOUN
ejpam-4743	159	3	(	(	PUNCT
ejpam-4743	159	4	15	15	NUM
ejpam-4743	159	5	)	)	PUNCT
ejpam-4743	159	6	,	,	PUNCT
ejpam-4743	159	7	(	(	PUNCT
ejpam-4743	159	8	22	22	X
ejpam-4743	159	9	)	)	PUNCT
ejpam-4743	159	10	have	have	VERB
ejpam-4743	159	11	a	a	DET
ejpam-4743	159	12	unique	unique	ADJ
ejpam-4743	159	13	solution	solution	NOUN
ejpam-4743	159	14	.	.	PUNCT
ejpam-4743	160	1	then	then	ADV
ejpam-4743	160	2	problem	problem	NOUN
ejpam-4743	160	3	(	(	PUNCT
ejpam-4743	160	4	1)-(4	1)-(4	NUM
ejpam-4743	160	5	)	)	PUNCT
ejpam-4743	160	6	,	,	PUNCT
ejpam-4743	160	7	(	(	PUNCT
ejpam-4743	160	8	7	7	X
ejpam-4743	160	9	)	)	PUNCT
ejpam-4743	160	10	can	can	AUX
ejpam-4743	160	11	not	not	PART
ejpam-4743	160	12	have	have	VERB
ejpam-4743	160	13	more	more	ADJ
ejpam-4743	160	14	than	than	ADP
ejpam-4743	160	15	one	one	NUM
ejpam-4743	160	16	solution	solution	NOUN
ejpam-4743	160	17	,	,	PUNCT
ejpam-4743	160	18	i.e.	i.e.	X
ejpam-4743	160	19	if	if	SCONJ
ejpam-4743	160	20	problem	problem	NOUN
ejpam-4743	160	21	(	(	PUNCT
ejpam-4743	160	22	1)-(4	1)-(4	NUM
ejpam-4743	160	23	)	)	PUNCT
ejpam-4743	160	24	,	,	PUNCT
ejpam-4743	160	25	(	(	PUNCT
ejpam-4743	160	26	7	7	X
ejpam-4743	160	27	)	)	PUNCT
ejpam-4743	160	28	has	have	VERB
ejpam-4743	160	29	a	a	DET
ejpam-4743	160	30	solution	solution	NOUN
ejpam-4743	160	31	,	,	PUNCT
ejpam-4743	160	32	then	then	ADV
ejpam-4743	160	33	it	it	PRON
ejpam-4743	160	34	is	be	AUX
ejpam-4743	160	35	unique	unique	ADJ
ejpam-4743	160	36	.	.	PUNCT
ejpam-4743	161	1	1	1	X
ejpam-4743	161	2	.	.	X
ejpam-4743	161	3	we	we	PRON
ejpam-4743	161	4	denote	denote	VERB
ejpam-4743	161	5	by	by	ADP
ejpam-4743	161	6	b3	b3	PROPN
ejpam-4743	161	7	2,t	2,t	NOUN
ejpam-4743	161	8	[	[	X
ejpam-4743	161	9	12	12	NUM
ejpam-4743	161	10	]	]	X
ejpam-4743	161	11	,	,	PUNCT
ejpam-4743	161	12	a	a	DET
ejpam-4743	161	13	consisting	consisting	NOUN
ejpam-4743	161	14	of	of	ADP
ejpam-4743	161	15	all	all	DET
ejpam-4743	161	16	functions	function	NOUN
ejpam-4743	161	17	u(x	u(x	NOUN
ejpam-4743	161	18	,	,	PUNCT
ejpam-4743	161	19	y	y	PROPN
ejpam-4743	161	20	,	,	PUNCT
ejpam-4743	161	21	t	t	PROPN
ejpam-4743	161	22	)	)	PUNCT
ejpam-4743	161	23	of	of	ADP
ejpam-4743	161	24	the	the	DET
ejpam-4743	161	25	form	form	NOUN
ejpam-4743	161	26	u(x	u(x	NOUN
ejpam-4743	161	27	,	,	PUNCT
ejpam-4743	161	28	y	y	PROPN
ejpam-4743	161	29	,	,	PUNCT
ejpam-4743	161	30	t	t	PROPN
ejpam-4743	161	31	)	)	PUNCT
ejpam-4743	161	32	=	=	NOUN
ejpam-4743	162	1	∞∑	∞∑	NUM
ejpam-4743	162	2	n=1	n=1	ADP
ejpam-4743	162	3	∞∑	∞∑	ADJ
ejpam-4743	162	4	k=1	k=1	PROPN
ejpam-4743	162	5	uk	uk	PROPN
ejpam-4743	162	6	,	,	PUNCT
ejpam-4743	162	7	n(t	n(t	PROPN
ejpam-4743	162	8	)	)	PUNCT
ejpam-4743	162	9	cosλkx	cosλkx	PROPN
ejpam-4743	162	10	sin	sin	NOUN
ejpam-4743	162	11	γny	γny	PROPN
ejpam-4743	162	12	,	,	PUNCT
ejpam-4743	162	13	considered	consider	VERB
ejpam-4743	162	14	in	in	ADP
ejpam-4743	162	15	dt	dt	PROPN
ejpam-4743	162	16	,	,	PUNCT
ejpam-4743	162	17	where	where	SCONJ
ejpam-4743	162	18	uk	uk	PROPN
ejpam-4743	162	19	,	,	PUNCT
ejpam-4743	162	20	n(t	n(t	PROPN
ejpam-4743	162	21	)	)	PUNCT
ejpam-4743	162	22	(	(	PUNCT
ejpam-4743	162	23	k	k	NOUN
ejpam-4743	162	24	=	=	SYM
ejpam-4743	162	25	1	1	NUM
ejpam-4743	162	26	,	,	PUNCT
ejpam-4743	162	27	2	2	NUM
ejpam-4743	162	28	,	,	PUNCT
ejpam-4743	162	29	...	...	PUNCT
ejpam-4743	162	30	;	;	PUNCT
ejpam-4743	162	31	n	n	X
ejpam-4743	162	32	=	=	SYM
ejpam-4743	162	33	1	1	NUM
ejpam-4743	162	34	,	,	PUNCT
ejpam-4743	162	35	.2	.2	NUM
ejpam-4743	162	36	,	,	PUNCT
ejpam-4743	162	37	..	..	PUNCT
ejpam-4743	162	38	)	)	PUNCT
ejpam-4743	162	39	is	be	AUX
ejpam-4743	162	40	continuous	continuous	ADJ
ejpam-4743	162	41	on	on	ADP
ejpam-4743	162	42	[	[	X
ejpam-4743	162	43	0	0	NUM
ejpam-4743	162	44	,	,	PUNCT
ejpam-4743	162	45	t	t	NOUN
ejpam-4743	162	46	]	]	PUNCT
ejpam-4743	162	47	and	and	CCONJ
ejpam-4743	162	48	{	{	PUNCT
ejpam-4743	162	49	∞∑	∞∑	NUM
ejpam-4743	162	50	n=1	n=1	ADP
ejpam-4743	162	51	∞∑	∞∑	NUM
ejpam-4743	162	52	k=1	k=1	X
ejpam-4743	162	53	(	(	PUNCT
ejpam-4743	162	54	µ3k	µ3k	PROPN
ejpam-4743	162	55	,	,	PUNCT
ejpam-4743	162	56	n∥uk	n∥uk	PROPN
ejpam-4743	162	57	,	,	PUNCT
ejpam-4743	162	58	n(t)∥c[0,t	n(t)∥c[0,t	NOUN
ejpam-4743	162	59	]	]	PUNCT
ejpam-4743	162	60	)	)	PUNCT
ejpam-4743	162	61	2	2	X
ejpam-4743	162	62	}	}	SYM
ejpam-4743	162	63	1	1	NUM
ejpam-4743	162	64	2	2	NUM
ejpam-4743	162	65	<	<	X
ejpam-4743	162	66	+	+	NOUN
ejpam-4743	162	67	∞	∞	PROPN
ejpam-4743	162	68	,	,	PUNCT
ejpam-4743	162	69	where	where	SCONJ
ejpam-4743	162	70	µk	µk	NOUN
ejpam-4743	162	71	,	,	PUNCT
ejpam-4743	162	72	n	n	NOUN
ejpam-4743	162	73	=	=	PUNCT
ejpam-4743	162	74	√	√	PROPN
ejpam-4743	162	75	λ2k	λ2k	NOUN
ejpam-4743	162	76	+	+	CCONJ
ejpam-4743	162	77	γ2n	γ2n	NOUN
ejpam-4743	162	78	(	(	PUNCT
ejpam-4743	162	79	k	k	NOUN
ejpam-4743	162	80	=	=	SYM
ejpam-4743	162	81	1	1	NUM
ejpam-4743	162	82	,	,	PUNCT
ejpam-4743	162	83	2	2	NUM
ejpam-4743	162	84	,	,	PUNCT
ejpam-4743	162	85	...	...	PUNCT
ejpam-4743	162	86	;	;	PUNCT
ejpam-4743	162	87	n	n	X
ejpam-4743	162	88	=	=	SYM
ejpam-4743	162	89	1	1	NUM
ejpam-4743	162	90	,	,	PUNCT
ejpam-4743	162	91	2	2	NUM
ejpam-4743	162	92	,	,	PUNCT
ejpam-4743	162	93	...	...	PUNCT
ejpam-4743	162	94	)	)	PUNCT
ejpam-4743	162	95	.	.	PUNCT
ejpam-4743	163	1	the	the	DET
ejpam-4743	163	2	norm	norm	NOUN
ejpam-4743	163	3	in	in	ADP
ejpam-4743	163	4	this	this	DET
ejpam-4743	163	5	set	set	NOUN
ejpam-4743	163	6	is	be	AUX
ejpam-4743	163	7	defined	define	VERB
ejpam-4743	163	8	as	as	SCONJ
ejpam-4743	163	9	follows	follow	VERB
ejpam-4743	163	10	:	:	PUNCT
ejpam-4743	163	11	∥u(x	∥u(x	NOUN
ejpam-4743	163	12	,	,	PUNCT
ejpam-4743	163	13	y	y	PROPN
ejpam-4743	163	14	,	,	PUNCT
ejpam-4743	163	15	t)∥b3	t)∥b3	ADJ
ejpam-4743	163	16	2,t	2,t	NOUN
ejpam-4743	163	17	=	=	PUNCT
ejpam-4743	163	18	{	{	PUNCT
ejpam-4743	163	19	∞∑	∞∑	NUM
ejpam-4743	163	20	n=1	n=1	ADP
ejpam-4743	164	1	∞∑	∞∑	NOUN
ejpam-4743	164	2	k=1	k=1	X
ejpam-4743	164	3	(	(	PUNCT
ejpam-4743	164	4	µ3k	µ3k	PROPN
ejpam-4743	164	5	,	,	PUNCT
ejpam-4743	164	6	n∥uk	n∥uk	PROPN
ejpam-4743	164	7	,	,	PUNCT
ejpam-4743	164	8	n(t)∥c[0,t	n(t)∥c[0,t	NOUN
ejpam-4743	164	9	]	]	PUNCT
ejpam-4743	164	10	)	)	PUNCT
ejpam-4743	164	11	2	2	X
ejpam-4743	164	12	}	}	SYM
ejpam-4743	164	13	1	1	NUM
ejpam-4743	164	14	2	2	NUM
ejpam-4743	164	15	.	.	PUNCT
ejpam-4743	165	1	2	2	X
ejpam-4743	165	2	.	.	X
ejpam-4743	165	3	the	the	DET
ejpam-4743	165	4	spaces	space	NOUN
ejpam-4743	165	5	e3	e3	VERB
ejpam-4743	165	6	t	t	NOUN
ejpam-4743	165	7	denote	denote	VERB
ejpam-4743	165	8	the	the	DET
ejpam-4743	165	9	space	space	NOUN
ejpam-4743	165	10	consisting	consist	VERB
ejpam-4743	165	11	of	of	ADP
ejpam-4743	165	12	the	the	DET
ejpam-4743	165	13	topological	topological	ADJ
ejpam-4743	165	14	product	product	NOUN
ejpam-4743	165	15	b3	b3	PROPN
ejpam-4743	165	16	2,t×c[0	2,t×c[0	NUM
ejpam-4743	165	17	,	,	PUNCT
ejpam-4743	165	18	t	t	X
ejpam-4743	165	19	]	]	PUNCT
ejpam-4743	165	20	.	.	PUNCT
ejpam-4743	166	1	the	the	DET
ejpam-4743	166	2	norm	norm	NOUN
ejpam-4743	166	3	of	of	ADP
ejpam-4743	166	4	element	element	NOUN
ejpam-4743	166	5	z	z	PROPN
ejpam-4743	166	6	=	=	SYM
ejpam-4743	166	7	{	{	PUNCT
ejpam-4743	166	8	u	u	NOUN
ejpam-4743	166	9	,	,	PUNCT
ejpam-4743	166	10	a	a	PRON
ejpam-4743	166	11	}	}	PUNCT
ejpam-4743	166	12	is	be	AUX
ejpam-4743	166	13	determined	determine	VERB
ejpam-4743	166	14	by	by	ADP
ejpam-4743	166	15	the	the	DET
ejpam-4743	166	16	formula	formula	NOUN
ejpam-4743	166	17	∥z∥e3	∥z∥e3	NOUN
ejpam-4743	166	18	t	t	NOUN
ejpam-4743	166	19	=	=	SYM
ejpam-4743	166	20	∥u(x	∥u(x	PROPN
ejpam-4743	166	21	,	,	PUNCT
ejpam-4743	166	22	y	y	PROPN
ejpam-4743	166	23	,	,	PUNCT
ejpam-4743	166	24	t)∥b3	t)∥b3	ADJ
ejpam-4743	166	25	2,t	2,t	PROPN
ejpam-4743	166	26	+	+	CCONJ
ejpam-4743	166	27	∥a(t)∥c[0,t	∥a(t)∥c[0,t	PROPN
ejpam-4743	166	28	]	]	PUNCT
ejpam-4743	166	29	.	.	PUNCT
ejpam-4743	167	1	it	it	PRON
ejpam-4743	167	2	is	be	AUX
ejpam-4743	167	3	obvious	obvious	ADJ
ejpam-4743	167	4	that	that	SCONJ
ejpam-4743	167	5	b3	b3	PROPN
ejpam-4743	167	6	2,t	2,t	NOUN
ejpam-4743	167	7	and	and	CCONJ
ejpam-4743	167	8	e3	e3	PROPN
ejpam-4743	167	9	t	t	NOUN
ejpam-4743	167	10	are	be	AUX
ejpam-4743	167	11	banach	banach	ADV
ejpam-4743	167	12	spaces	space	NOUN
ejpam-4743	167	13	.	.	PUNCT
ejpam-4743	168	1	y.	y.	PROPN
ejpam-4743	168	2	t.	t.	PROPN
ejpam-4743	168	3	mehraliyev	mehraliyev	PROPN
ejpam-4743	168	4	,	,	PUNCT
ejpam-4743	168	5	s.	s.	PROPN
ejpam-4743	168	6	r.shafi	r.shafi	PROPN
ejpam-4743	168	7	,	,	PUNCT
ejpam-4743	168	8	a.	a.	NOUN
ejpam-4743	168	9	t.	t.	PROPN
ejpam-4743	168	10	ramazanova	ramazanova	PROPN
ejpam-4743	168	11	/	/	SYM
ejpam-4743	168	12	eur	eur	PROPN
ejpam-4743	168	13	.	.	PUNCT
ejpam-4743	169	1	j.	j.	PROPN
ejpam-4743	169	2	pure	pure	PROPN
ejpam-4743	169	3	appl	appl	PROPN
ejpam-4743	169	4	.	.	PROPN
ejpam-4743	169	5	math	math	PROPN
ejpam-4743	169	6	,	,	PUNCT
ejpam-4743	169	7	16	16	NUM
ejpam-4743	169	8	(	(	PUNCT
ejpam-4743	169	9	2	2	NUM
ejpam-4743	169	10	)	)	PUNCT
ejpam-4743	169	11	(	(	PUNCT
ejpam-4743	169	12	2023	2023	NUM
ejpam-4743	169	13	)	)	PUNCT
ejpam-4743	169	14	,	,	PUNCT
ejpam-4743	169	15	670	670	NUM
ejpam-4743	169	16	-	-	SYM
ejpam-4743	169	17	686	686	NUM
ejpam-4743	169	18	679	679	NUM
ejpam-4743	169	19	now	now	ADV
ejpam-4743	169	20	consider	consider	VERB
ejpam-4743	169	21	in	in	ADP
ejpam-4743	169	22	the	the	DET
ejpam-4743	169	23	space	space	NOUN
ejpam-4743	169	24	e3	e3	NOUN
ejpam-4743	169	25	t	t	NOUN
ejpam-4743	169	26	the	the	DET
ejpam-4743	169	27	operator	operator	NOUN
ejpam-4743	169	28	φ(u	φ(u	NOUN
ejpam-4743	169	29	,	,	PUNCT
ejpam-4743	169	30	a	a	PRON
ejpam-4743	169	31	)	)	PUNCT
ejpam-4743	169	32	=	=	SYM
ejpam-4743	169	33	{	{	PUNCT
ejpam-4743	169	34	φ1(u	φ1(u	PROPN
ejpam-4743	169	35	,	,	PUNCT
ejpam-4743	169	36	a),φ2(u	a),φ2(u	ADV
ejpam-4743	169	37	,	,	PUNCT
ejpam-4743	169	38	a	a	PRON
ejpam-4743	169	39	)	)	PUNCT
ejpam-4743	169	40	}	}	PUNCT
ejpam-4743	169	41	,	,	PUNCT
ejpam-4743	169	42	where	where	SCONJ
ejpam-4743	169	43	φ1(u	φ1(u	NOUN
ejpam-4743	169	44	,	,	PUNCT
ejpam-4743	169	45	a	a	PRON
ejpam-4743	169	46	)	)	PUNCT
ejpam-4743	169	47	=	=	SYM
ejpam-4743	170	1	ũ(x	ũ(x	PROPN
ejpam-4743	170	2	,	,	PUNCT
ejpam-4743	170	3	y	y	PROPN
ejpam-4743	170	4	,	,	PUNCT
ejpam-4743	170	5	t	t	PROPN
ejpam-4743	170	6	)	)	PUNCT
ejpam-4743	170	7	≡	≡	PROPN
ejpam-4743	171	1	∞∑	∞∑	NUM
ejpam-4743	171	2	n=1	n=1	PROPN
ejpam-4743	171	3	∞∑	∞∑	PROPN
ejpam-4743	171	4	k=1	k=1	ADJ
ejpam-4743	171	5	ũk	ũk	PROPN
ejpam-4743	171	6	,	,	PUNCT
ejpam-4743	171	7	n(t	n(t	PROPN
ejpam-4743	171	8	)	)	PUNCT
ejpam-4743	171	9	cosλkx	cosλkx	PROPN
ejpam-4743	171	10	sin	sin	NOUN
ejpam-4743	171	11	γny	γny	PROPN
ejpam-4743	171	12	,	,	PUNCT
ejpam-4743	171	13	φ2(u	φ2(u	PROPN
ejpam-4743	171	14	,	,	PUNCT
ejpam-4743	171	15	a	a	PRON
ejpam-4743	171	16	)	)	PUNCT
ejpam-4743	171	17	=	=	SYM
ejpam-4743	171	18	ã(t	ã(t	PROPN
ejpam-4743	171	19	)	)	PUNCT
ejpam-4743	171	20	,	,	PUNCT
ejpam-4743	171	21	and	and	CCONJ
ejpam-4743	171	22	ũk	ũk	PRON
ejpam-4743	171	23	,	,	PUNCT
ejpam-4743	171	24	n(t	n(t	PROPN
ejpam-4743	171	25	)	)	PUNCT
ejpam-4743	171	26	(	(	PUNCT
ejpam-4743	171	27	k	k	NOUN
ejpam-4743	171	28	=	=	SYM
ejpam-4743	171	29	1	1	NUM
ejpam-4743	171	30	,	,	PUNCT
ejpam-4743	171	31	2	2	NUM
ejpam-4743	171	32	,	,	PUNCT
ejpam-4743	171	33	...	...	PUNCT
ejpam-4743	171	34	;	;	PUNCT
ejpam-4743	171	35	n	n	X
ejpam-4743	171	36	=	=	SYM
ejpam-4743	171	37	1	1	NUM
ejpam-4743	171	38	,	,	PUNCT
ejpam-4743	171	39	2	2	NUM
ejpam-4743	171	40	,	,	PUNCT
ejpam-4743	171	41	...	...	PUNCT
ejpam-4743	171	42	)	)	PUNCT
ejpam-4743	171	43	and	and	CCONJ
ejpam-4743	171	44	ã(t	ã(t	PROPN
ejpam-4743	171	45	)	)	PUNCT
ejpam-4743	171	46	are	be	AUX
ejpam-4743	171	47	equal	equal	ADJ
ejpam-4743	171	48	to	to	ADP
ejpam-4743	171	49	,	,	PUNCT
ejpam-4743	171	50	respectively	respectively	ADV
ejpam-4743	171	51	,	,	PUNCT
ejpam-4743	171	52	the	the	DET
ejpam-4743	171	53	right	right	ADJ
ejpam-4743	171	54	sides	side	NOUN
ejpam-4743	171	55	of	of	ADP
ejpam-4743	171	56	(	(	PUNCT
ejpam-4743	171	57	15	15	NUM
ejpam-4743	171	58	)	)	PUNCT
ejpam-4743	171	59	,	,	PUNCT
ejpam-4743	171	60	and	and	CCONJ
ejpam-4743	171	61	(	(	PUNCT
ejpam-4743	171	62	21	21	NUM
ejpam-4743	171	63	)	)	PUNCT
ejpam-4743	171	64	.	.	PUNCT
ejpam-4743	172	1	it	it	PRON
ejpam-4743	172	2	is	be	AUX
ejpam-4743	172	3	easy	easy	ADJ
ejpam-4743	172	4	to	to	PART
ejpam-4743	172	5	get	get	VERB
ejpam-4743	172	6	that	that	DET
ejpam-4743	172	7	µ3k	µ3k	NOUN
ejpam-4743	172	8	,	,	PUNCT
ejpam-4743	172	9	n	n	PRON
ejpam-4743	172	10	≤	≤	NUM
ejpam-4743	172	11	(	(	PUNCT
ejpam-4743	172	12	λ2k	λ2k	NOUN
ejpam-4743	172	13	+	+	CCONJ
ejpam-4743	172	14	γ2k)(λk	γ2k)(λk	NOUN
ejpam-4743	173	1	+	+	NUM
ejpam-4743	173	2	γn	γn	X
ejpam-4743	173	3	)	)	PUNCT
ejpam-4743	174	1	=	=	PUNCT
ejpam-4743	175	1	λ3k	λ3k	PUNCT
ejpam-4743	175	2	+	+	NUM
ejpam-4743	175	3	λ2k	λ2k	X
ejpam-4743	175	4	γn	γn	ADP
ejpam-4743	175	5	+	+	NOUN
ejpam-4743	175	6	γ2nλk	γ2nλk	NOUN
ejpam-4743	176	1	+	+	CCONJ
ejpam-4743	176	2	γ3n	γ3n	NUM
ejpam-4743	176	3	,	,	PUNCT
ejpam-4743	176	4	|γk	|γk	NUM
ejpam-4743	176	5	,	,	PUNCT
ejpam-4743	176	6	n|	n|	X
ejpam-4743	176	7	>	>	X
ejpam-4743	176	8	α√	α√	NUM
ejpam-4743	176	9	2	2	NUM
ejpam-4743	176	10	µ2k	µ2k	NOUN
ejpam-4743	176	11	,	,	PUNCT
ejpam-4743	176	12	n	n	CCONJ
ejpam-4743	176	13	,	,	PUNCT
ejpam-4743	176	14	|µi	|µi	NUM
ejpam-4743	176	15	,	,	PUNCT
ejpam-4743	176	16	k	k	NOUN
ejpam-4743	176	17	,	,	PUNCT
ejpam-4743	176	18	n|	n|	NOUN
ejpam-4743	176	19	≤	≤	NOUN
ejpam-4743	176	20	αµ2k	αµ2k	NOUN
ejpam-4743	176	21	,	,	PUNCT
ejpam-4743	176	22	n	n	CCONJ
ejpam-4743	176	23	(	(	PUNCT
ejpam-4743	176	24	i	i	NOUN
ejpam-4743	176	25	=	=	NOUN
ejpam-4743	176	26	1	1	NUM
ejpam-4743	176	27	,	,	PUNCT
ejpam-4743	176	28	2	2	NUM
ejpam-4743	176	29	)	)	PUNCT
ejpam-4743	176	30	,	,	PUNCT
ejpam-4743	176	31	|µ1,k	|µ1,k	PROPN
ejpam-4743	176	32	,	,	PUNCT
ejpam-4743	176	33	nµ2,k	nµ2,k	NOUN
ejpam-4743	176	34	,	,	PUNCT
ejpam-4743	176	35	n|	n|	NOUN
ejpam-4743	176	36	=	=	SYM
ejpam-4743	176	37	βµ2k	βµ2k	PROPN
ejpam-4743	176	38	,	,	PUNCT
ejpam-4743	176	39	n	n	CCONJ
ejpam-4743	176	40	(	(	PUNCT
ejpam-4743	176	41	i	i	NOUN
ejpam-4743	176	42	=	=	NOUN
ejpam-4743	176	43	1	1	NUM
ejpam-4743	176	44	,	,	PUNCT
ejpam-4743	176	45	2	2	NUM
ejpam-4743	176	46	)	)	PUNCT
ejpam-4743	176	47	,	,	PUNCT
ejpam-4743	176	48	|pk	|pk	NUM
ejpam-4743	176	49	,	,	PUNCT
ejpam-4743	176	50	n|	n|	NOUN
ejpam-4743	176	51	≤	≤	NOUN
ejpam-4743	176	52	∥ω(x	∥ω(x	NOUN
ejpam-4743	176	53	,	,	PUNCT
ejpam-4743	176	54	y)∥c(q̄xy	y)∥c(q̄xy	NOUN
ejpam-4743	176	55	)	)	PUNCT
ejpam-4743	176	56	.	.	PUNCT
ejpam-4743	177	1	taking	take	VERB
ejpam-4743	177	2	into	into	ADP
ejpam-4743	177	3	account	account	NOUN
ejpam-4743	177	4	this	this	DET
ejpam-4743	177	5	ratio	ratio	NOUN
ejpam-4743	177	6	,	,	PUNCT
ejpam-4743	177	7	we	we	PRON
ejpam-4743	177	8	have	have	VERB
ejpam-4743	177	9	:	:	PUNCT
ejpam-4743	177	10	{	{	PUNCT
ejpam-4743	177	11	∞∑	∞∑	NUM
ejpam-4743	177	12	n=1	n=1	ADP
ejpam-4743	178	1	∞∑	∞∑	NUM
ejpam-4743	178	2	k=1	k=1	X
ejpam-4743	178	3	(	(	PUNCT
ejpam-4743	178	4	µ3k	µ3k	PROPN
ejpam-4743	178	5	,	,	PUNCT
ejpam-4743	178	6	n∥ũk	n∥ũk	PROPN
ejpam-4743	178	7	,	,	PUNCT
ejpam-4743	178	8	n(t)∥c[0,t	n(t)∥c[0,t	NOUN
ejpam-4743	178	9	]	]	PUNCT
ejpam-4743	178	10	)	)	PUNCT
ejpam-4743	178	11	2	2	X
ejpam-4743	178	12	}	}	SYM
ejpam-4743	178	13	1	1	NUM
ejpam-4743	178	14	2	2	NUM
ejpam-4743	178	15	≤	≤	NUM
ejpam-4743	178	16	4	4	NUM
ejpam-4743	178	17	(	(	PUNCT
ejpam-4743	178	18	∞∑	∞∑	NUM
ejpam-4743	178	19	n=1	n=1	ADP
ejpam-4743	178	20	∞∑	∞∑	NOUN
ejpam-4743	178	21	k=1	k=1	X
ejpam-4743	179	1	(	(	PUNCT
ejpam-4743	179	2	λ3k	λ3k	PROPN
ejpam-4743	179	3	|ϕk	|ϕk	NOUN
ejpam-4743	179	4	,	,	PUNCT
ejpam-4743	179	5	n|	n|	NOUN
ejpam-4743	179	6	)	)	PUNCT
ejpam-4743	179	7	2	2	NUM
ejpam-4743	179	8	)	)	PUNCT
ejpam-4743	179	9	1	1	NUM
ejpam-4743	179	10	2	2	NUM
ejpam-4743	179	11	+	+	CCONJ
ejpam-4743	179	12	+4	+4	PROPN
ejpam-4743	179	13	(	(	PUNCT
ejpam-4743	179	14	∞∑	∞∑	NUM
ejpam-4743	179	15	n=1	n=1	ADP
ejpam-4743	179	16	∞∑	∞∑	NOUN
ejpam-4743	179	17	k=1	k=1	X
ejpam-4743	180	1	(	(	PUNCT
ejpam-4743	180	2	λ2k	λ2k	X
ejpam-4743	180	3	γn	γn	ADP
ejpam-4743	180	4	|ϕk	|ϕk	NUM
ejpam-4743	180	5	,	,	PUNCT
ejpam-4743	180	6	n|	n|	NOUN
ejpam-4743	180	7	)	)	PUNCT
ejpam-4743	180	8	2	2	NUM
ejpam-4743	180	9	)	)	PUNCT
ejpam-4743	180	10	1	1	NUM
ejpam-4743	180	11	2	2	NUM
ejpam-4743	180	12	+	+	NUM
ejpam-4743	180	13	4	4	NUM
ejpam-4743	180	14	(	(	PUNCT
ejpam-4743	180	15	∞∑	∞∑	NUM
ejpam-4743	180	16	n=1	n=1	ADP
ejpam-4743	180	17	∞∑	∞∑	NOUN
ejpam-4743	180	18	k=1	k=1	X
ejpam-4743	180	19	(	(	PUNCT
ejpam-4743	180	20	λkγ	λkγ	VERB
ejpam-4743	180	21	2	2	NUM
ejpam-4743	180	22	n	n	SYM
ejpam-4743	180	23	|ϕk	|ϕk	NUM
ejpam-4743	180	24	,	,	PUNCT
ejpam-4743	180	25	n|	n|	NOUN
ejpam-4743	180	26	)	)	PUNCT
ejpam-4743	180	27	2	2	NUM
ejpam-4743	180	28	)	)	PUNCT
ejpam-4743	180	29	1	1	NUM
ejpam-4743	180	30	2	2	NUM
ejpam-4743	180	31	+	+	CCONJ
ejpam-4743	180	32	+4	+4	PROPN
ejpam-4743	180	33	(	(	PUNCT
ejpam-4743	180	34	∞∑	∞∑	NUM
ejpam-4743	180	35	n=1	n=1	ADP
ejpam-4743	180	36	∞∑	∞∑	NUM
ejpam-4743	180	37	k=1	k=1	PUNCT
ejpam-4743	180	38	(	(	PUNCT
ejpam-4743	180	39	γ3n	γ3n	NUM
ejpam-4743	180	40	|ϕk	|ϕk	NUM
ejpam-4743	180	41	,	,	PUNCT
ejpam-4743	180	42	n|	n|	NOUN
ejpam-4743	180	43	)	)	PUNCT
ejpam-4743	180	44	2	2	NUM
ejpam-4743	180	45	)	)	PUNCT
ejpam-4743	180	46	1	1	NUM
ejpam-4743	180	47	2	2	NUM
ejpam-4743	180	48	+	+	CCONJ
ejpam-4743	180	49	+	+	NUM
ejpam-4743	180	50	4	4	NUM
ejpam-4743	180	51	α	α	NOUN
ejpam-4743	180	52	(	(	PUNCT
ejpam-4743	180	53	∞∑	∞∑	NUM
ejpam-4743	180	54	n=1	n=1	ADP
ejpam-4743	180	55	∞∑	∞∑	NOUN
ejpam-4743	180	56	k=1	k=1	X
ejpam-4743	180	57	(	(	PUNCT
ejpam-4743	180	58	λk	λk	ADP
ejpam-4743	180	59	|ψk	|ψk	NUM
ejpam-4743	180	60	,	,	PUNCT
ejpam-4743	180	61	n|)2	n|)2	NOUN
ejpam-4743	180	62	)	)	PUNCT
ejpam-4743	180	63	1	1	NUM
ejpam-4743	180	64	2	2	NUM
ejpam-4743	180	65	+	+	CCONJ
ejpam-4743	180	66	4	4	NUM
ejpam-4743	180	67	α	α	NOUN
ejpam-4743	180	68	(	(	PUNCT
ejpam-4743	180	69	∞∑	∞∑	NUM
ejpam-4743	180	70	n=1	n=1	ADP
ejpam-4743	180	71	∞∑	∞∑	NOUN
ejpam-4743	180	72	k=1	k=1	X
ejpam-4743	180	73	(	(	PUNCT
ejpam-4743	180	74	γn	γn	ADP
ejpam-4743	180	75	|ψk	|ψk	NOUN
ejpam-4743	180	76	,	,	PUNCT
ejpam-4743	180	77	n|)2	n|)2	NOUN
ejpam-4743	180	78	)	)	PUNCT
ejpam-4743	180	79	1	1	NUM
ejpam-4743	180	80	2	2	NUM
ejpam-4743	180	81	+	+	CCONJ
ejpam-4743	180	82	+	+	NUM
ejpam-4743	180	83	4	4	NUM
ejpam-4743	180	84	√	√	NOUN
ejpam-4743	180	85	t	t	PROPN
ejpam-4743	180	86	α	α	NOUN
ejpam-4743	180	87			VERB
ejpam-4743	181	1			PROPN
ejpam-4743	181	2	t∫	t∫	PROPN
ejpam-4743	181	3	0	0	NUM
ejpam-4743	182	1	∞∑	∞∑	NUM
ejpam-4743	182	2	n=1	n=1	ADP
ejpam-4743	182	3	∞∑	∞∑	NUM
ejpam-4743	182	4	k=1	k=1	X
ejpam-4743	183	1	(	(	PUNCT
ejpam-4743	183	2	λk	λk	X
ejpam-4743	183	3	|fk	|fk	X
ejpam-4743	183	4	,	,	PUNCT
ejpam-4743	183	5	n(τ)|)2	n(τ)|)2	NOUN
ejpam-4743	183	6	dτ	dτ	NOUN
ejpam-4743	183	7			PROPN
ejpam-4743	183	8	1	1	NUM
ejpam-4743	183	9	2	2	NUM
ejpam-4743	183	10	+	+	ADP
ejpam-4743	183	11			PROPN
ejpam-4743	183	12	t∫	t∫	NUM
ejpam-4743	183	13	0	0	NUM
ejpam-4743	184	1	∞∑	∞∑	NUM
ejpam-4743	184	2	n=1	n=1	ADP
ejpam-4743	184	3	∞∑	∞∑	NUM
ejpam-4743	184	4	k=1	k=1	X
ejpam-4743	185	1	(	(	PUNCT
ejpam-4743	185	2	γn	γn	NUM
ejpam-4743	185	3	|fk	|fk	NUM
ejpam-4743	185	4	,	,	PUNCT
ejpam-4743	185	5	n(τ)|)2	n(τ)|)2	NOUN
ejpam-4743	185	6	dτ	dτ	NOUN
ejpam-4743	185	7			PROPN
ejpam-4743	185	8	1	1	NUM
ejpam-4743	185	9	2	2	NUM
ejpam-4743	185	10	+	+	NOUN
ejpam-4743	185	11	+	+	CCONJ
ejpam-4743	185	12	4	4	NUM
ejpam-4743	185	13	t	t	NOUN
ejpam-4743	185	14	α	α	PRON
ejpam-4743	185	15	∥a(t)∥c[0,t	∥a(t)∥c[0,t	PROPN
ejpam-4743	185	16	]	]	X
ejpam-4743	185	17	(	(	PUNCT
ejpam-4743	185	18	∞∑	∞∑	NUM
ejpam-4743	185	19	n=1	n=1	ADP
ejpam-4743	185	20	∞∑	∞∑	NUM
ejpam-4743	185	21	k=1	k=1	X
ejpam-4743	185	22	(	(	PUNCT
ejpam-4743	185	23	µ3k	µ3k	PROPN
ejpam-4743	185	24	,	,	PUNCT
ejpam-4743	185	25	n	n	PRON
ejpam-4743	185	26	∥uk	∥uk	NOUN
ejpam-4743	185	27	,	,	PUNCT
ejpam-4743	185	28	n(t)∥c[0,t	n(t)∥c[0,t	NOUN
ejpam-4743	185	29	]	]	PUNCT
ejpam-4743	185	30	)	)	PUNCT
ejpam-4743	185	31	2	2	X
ejpam-4743	185	32	)	)	PUNCT
ejpam-4743	185	33	1	1	NUM
ejpam-4743	185	34	2	2	NUM
ejpam-4743	185	35	,	,	PUNCT
ejpam-4743	185	36	(	(	PUNCT
ejpam-4743	185	37	23	23	NUM
ejpam-4743	185	38	)	)	PUNCT
ejpam-4743	185	39	y.	y.	PROPN
ejpam-4743	185	40	t.	t.	PROPN
ejpam-4743	185	41	mehraliyev	mehraliyev	PROPN
ejpam-4743	185	42	,	,	PUNCT
ejpam-4743	185	43	s.	s.	PROPN
ejpam-4743	185	44	r.shafi	r.shafi	PROPN
ejpam-4743	185	45	,	,	PUNCT
ejpam-4743	185	46	a.	a.	NOUN
ejpam-4743	185	47	t.	t.	PROPN
ejpam-4743	185	48	ramazanova	ramazanova	PROPN
ejpam-4743	185	49	/	/	SYM
ejpam-4743	185	50	eur	eur	PROPN
ejpam-4743	185	51	.	.	PUNCT
ejpam-4743	186	1	j.	j.	PROPN
ejpam-4743	186	2	pure	pure	PROPN
ejpam-4743	186	3	appl	appl	PROPN
ejpam-4743	186	4	.	.	PROPN
ejpam-4743	186	5	math	math	PROPN
ejpam-4743	186	6	,	,	PUNCT
ejpam-4743	186	7	16	16	NUM
ejpam-4743	186	8	(	(	PUNCT
ejpam-4743	186	9	2	2	NUM
ejpam-4743	186	10	)	)	PUNCT
ejpam-4743	186	11	(	(	PUNCT
ejpam-4743	186	12	2023	2023	NUM
ejpam-4743	186	13	)	)	PUNCT
ejpam-4743	186	14	,	,	PUNCT
ejpam-4743	186	15	670	670	NUM
ejpam-4743	186	16	-	-	SYM
ejpam-4743	186	17	686	686	NUM
ejpam-4743	186	18	680	680	NUM
ejpam-4743	186	19	∥ã(t)∥c[0,t	∥ã(t)∥c[0,t	NOUN
ejpam-4743	186	20	]	]	PUNCT
ejpam-4743	186	21	≤	≤	NUM
ejpam-4743	186	22	∥∥∥[h(t)]−1	∥∥∥[h(t)]−1	NUM
ejpam-4743	186	23	∥∥∥	∥∥∥	PROPN
ejpam-4743	186	24	c[0,t	c[0,t	NOUN
ejpam-4743	186	25	]	]	PUNCT
ejpam-4743	187	1			PROPN
ejpam-4743	187	2	∥∥∥∥∥∥h′′(t)−	∥∥∥∥∥∥h′′(t)−	PROPN
ejpam-4743	187	3	1∫	1∫	NUM
ejpam-4743	187	4	0	0	NUM
ejpam-4743	188	1	1∫	1∫	NUM
ejpam-4743	188	2	0	0	NUM
ejpam-4743	188	3	ω(x	ω(x	NOUN
ejpam-4743	188	4	,	,	PUNCT
ejpam-4743	188	5	y)f(x	y)f(x	PROPN
ejpam-4743	188	6	,	,	PUNCT
ejpam-4743	188	7	y	y	PROPN
ejpam-4743	188	8	,	,	PUNCT
ejpam-4743	188	9	t)dxdy	t)dxdy	PROPN
ejpam-4743	188	10	∥∥∥∥∥∥	∥∥∥∥∥∥	NUM
ejpam-4743	188	11	c[0,t	c[0,t	NOUN
ejpam-4743	188	12	]	]	PUNCT
ejpam-4743	189	1	+	+	CCONJ
ejpam-4743	189	2	+2	+2	NOUN
ejpam-4743	189	3	√	√	ADV
ejpam-4743	189	4	2	2	NUM
ejpam-4743	189	5	(	(	PUNCT
ejpam-4743	189	6	∞∑	∞∑	NUM
ejpam-4743	189	7	n=1	n=1	ADP
ejpam-4743	189	8	∞∑	∞∑	NUM
ejpam-4743	189	9	k=1	k=1	ADP
ejpam-4743	189	10	µ−2	µ−2	PROPN
ejpam-4743	189	11	k	k	PROPN
ejpam-4743	189	12	,	,	PUNCT
ejpam-4743	189	13	n	n	CCONJ
ejpam-4743	189	14	)	)	PUNCT
ejpam-4743	189	15	1	1	NUM
ejpam-4743	189	16	2	2	NUM
ejpam-4743	189	17	∥ω(x	∥ω(x	NOUN
ejpam-4743	189	18	,	,	PUNCT
ejpam-4743	189	19	y)∥c[q̄xy	y)∥c[q̄xy	X
ejpam-4743	189	20	]	]	PUNCT
ejpam-4743	189	21	β	β	NOUN
ejpam-4743	189	22	(	(	PUNCT
ejpam-4743	189	23	∞∑	∞∑	NUM
ejpam-4743	189	24	n=1	n=1	ADP
ejpam-4743	189	25	∞∑	∞∑	NOUN
ejpam-4743	189	26	k=1	k=1	X
ejpam-4743	190	1	(	(	PUNCT
ejpam-4743	190	2	λ3k	λ3k	PROPN
ejpam-4743	190	3	|ϕk	|ϕk	NOUN
ejpam-4743	190	4	,	,	PUNCT
ejpam-4743	190	5	n|	n|	NOUN
ejpam-4743	190	6	)	)	PUNCT
ejpam-4743	190	7	2	2	NUM
ejpam-4743	190	8	)	)	PUNCT
ejpam-4743	190	9	1	1	NUM
ejpam-4743	190	10	2	2	NUM
ejpam-4743	190	11	+	+	NUM
ejpam-4743	190	12	β	β	X
ejpam-4743	190	13	(	(	PUNCT
ejpam-4743	190	14	∞∑	∞∑	NUM
ejpam-4743	190	15	n=1	n=1	ADP
ejpam-4743	190	16	∞∑	∞∑	NOUN
ejpam-4743	190	17	k=1	k=1	X
ejpam-4743	191	1	(	(	PUNCT
ejpam-4743	191	2	λ2k	λ2k	X
ejpam-4743	191	3	γn	γn	ADP
ejpam-4743	191	4	|ϕk	|ϕk	NUM
ejpam-4743	191	5	,	,	PUNCT
ejpam-4743	191	6	n|	n|	NOUN
ejpam-4743	191	7	)	)	PUNCT
ejpam-4743	191	8	2	2	NUM
ejpam-4743	191	9	)	)	PUNCT
ejpam-4743	191	10	1	1	NUM
ejpam-4743	191	11	2	2	NUM
ejpam-4743	191	12	+	+	CCONJ
ejpam-4743	191	13	β	β	X
ejpam-4743	191	14	(	(	PUNCT
ejpam-4743	191	15	∞∑	∞∑	NUM
ejpam-4743	191	16	n=1	n=1	ADP
ejpam-4743	191	17	∞∑	∞∑	NOUN
ejpam-4743	191	18	k=1	k=1	X
ejpam-4743	191	19	(	(	PUNCT
ejpam-4743	191	20	λkγ	λkγ	VERB
ejpam-4743	191	21	2	2	NUM
ejpam-4743	191	22	n	n	SYM
ejpam-4743	191	23	|ϕk	|ϕk	NUM
ejpam-4743	191	24	,	,	PUNCT
ejpam-4743	191	25	n|	n|	NOUN
ejpam-4743	191	26	)	)	PUNCT
ejpam-4743	191	27	2	2	NUM
ejpam-4743	191	28	)	)	PUNCT
ejpam-4743	191	29	1	1	NUM
ejpam-4743	191	30	2	2	NUM
ejpam-4743	191	31	+	+	CCONJ
ejpam-4743	191	32	+	+	ADJ
ejpam-4743	191	33	β	β	NOUN
ejpam-4743	191	34	(	(	PUNCT
ejpam-4743	191	35	∞∑	∞∑	NUM
ejpam-4743	191	36	n=1	n=1	ADP
ejpam-4743	191	37	∞∑	∞∑	NUM
ejpam-4743	191	38	k=1	k=1	PUNCT
ejpam-4743	192	1	(	(	PUNCT
ejpam-4743	192	2	γ3n	γ3n	NUM
ejpam-4743	192	3	|ϕk	|ϕk	NUM
ejpam-4743	192	4	,	,	PUNCT
ejpam-4743	192	5	n|	n|	NOUN
ejpam-4743	192	6	)	)	PUNCT
ejpam-4743	192	7	2	2	NUM
ejpam-4743	192	8	)	)	PUNCT
ejpam-4743	192	9	1	1	NUM
ejpam-4743	192	10	2	2	NUM
ejpam-4743	193	1	+	+	CCONJ
ejpam-4743	193	2	+	+	ADJ
ejpam-4743	193	3	α	α	NOUN
ejpam-4743	193	4	(	(	PUNCT
ejpam-4743	193	5	∞∑	∞∑	NUM
ejpam-4743	193	6	n=1	n=1	ADP
ejpam-4743	193	7	∞∑	∞∑	NOUN
ejpam-4743	193	8	k=1	k=1	X
ejpam-4743	193	9	(	(	PUNCT
ejpam-4743	193	10	λk	λk	ADP
ejpam-4743	193	11	|ψk	|ψk	NUM
ejpam-4743	193	12	,	,	PUNCT
ejpam-4743	193	13	n|)2	n|)2	NOUN
ejpam-4743	193	14	)	)	PUNCT
ejpam-4743	193	15	1	1	NUM
ejpam-4743	193	16	2	2	NUM
ejpam-4743	193	17	+	+	NUM
ejpam-4743	193	18	α	α	NOUN
ejpam-4743	193	19	(	(	PUNCT
ejpam-4743	193	20	∞∑	∞∑	NUM
ejpam-4743	193	21	n=1	n=1	ADP
ejpam-4743	193	22	∞∑	∞∑	NOUN
ejpam-4743	193	23	k=1	k=1	X
ejpam-4743	194	1	(	(	PUNCT
ejpam-4743	194	2	γn	γn	ADP
ejpam-4743	194	3	|ψk	|ψk	NOUN
ejpam-4743	194	4	,	,	PUNCT
ejpam-4743	194	5	n|)2	n|)2	NOUN
ejpam-4743	194	6	)	)	PUNCT
ejpam-4743	194	7	1	1	NUM
ejpam-4743	194	8	2	2	NUM
ejpam-4743	195	1	+	+	CCONJ
ejpam-4743	195	2	+	+	ADJ
ejpam-4743	195	3	α	α	NOUN
ejpam-4743	195	4	√	√	ADJ
ejpam-4743	195	5	t	t	NOUN
ejpam-4743	195	6			NOUN
ejpam-4743	196	1			PROPN
ejpam-4743	196	2	t∫	t∫	PROPN
ejpam-4743	196	3	0	0	NUM
ejpam-4743	197	1	∞∑	∞∑	NUM
ejpam-4743	197	2	n=1	n=1	ADP
ejpam-4743	197	3	∞∑	∞∑	NUM
ejpam-4743	197	4	k=1	k=1	X
ejpam-4743	198	1	(	(	PUNCT
ejpam-4743	198	2	λk	λk	X
ejpam-4743	198	3	|fk	|fk	X
ejpam-4743	198	4	,	,	PUNCT
ejpam-4743	198	5	n(τ)|)2	n(τ)|)2	NOUN
ejpam-4743	198	6	dτ	dτ	NOUN
ejpam-4743	198	7			PROPN
ejpam-4743	198	8	1	1	NUM
ejpam-4743	198	9	2	2	NUM
ejpam-4743	198	10	+	+	ADP
ejpam-4743	198	11			PROPN
ejpam-4743	198	12	t∫	t∫	NUM
ejpam-4743	198	13	0	0	NUM
ejpam-4743	199	1	∞∑	∞∑	NUM
ejpam-4743	199	2	n=1	n=1	ADP
ejpam-4743	199	3	∞∑	∞∑	NUM
ejpam-4743	199	4	k=1	k=1	X
ejpam-4743	200	1	(	(	PUNCT
ejpam-4743	200	2	γn	γn	NUM
ejpam-4743	200	3	|fk	|fk	NUM
ejpam-4743	200	4	,	,	PUNCT
ejpam-4743	200	5	n(τ)|)2	n(τ)|)2	NOUN
ejpam-4743	200	6	dτ	dτ	NOUN
ejpam-4743	200	7			PROPN
ejpam-4743	200	8	1	1	NUM
ejpam-4743	200	9	2	2	NUM
ejpam-4743	200	10	+	+	NOUN
ejpam-4743	201	1	+	+	PROPN
ejpam-4743	201	2	αt∥a(t)∥c[0,t	αt∥a(t)∥c[0,t	PROPN
ejpam-4743	201	3	]	]	X
ejpam-4743	201	4	(	(	PUNCT
ejpam-4743	201	5	∞∑	∞∑	NUM
ejpam-4743	201	6	n=1	n=1	ADP
ejpam-4743	201	7	∞∑	∞∑	NUM
ejpam-4743	201	8	k=1	k=1	X
ejpam-4743	201	9	(	(	PUNCT
ejpam-4743	201	10	µ3k	µ3k	PROPN
ejpam-4743	201	11	,	,	PUNCT
ejpam-4743	201	12	n	n	PRON
ejpam-4743	201	13	∥uk	∥uk	NOUN
ejpam-4743	201	14	,	,	PUNCT
ejpam-4743	201	15	n(t)∥c[0,t	n(t)∥c[0,t	NOUN
ejpam-4743	201	16	]	]	PUNCT
ejpam-4743	201	17	)	)	PUNCT
ejpam-4743	201	18	2	2	X
ejpam-4743	201	19	)	)	PUNCT
ejpam-4743	201	20	1	1	NUM
ejpam-4743	201	21	2	2	NUM
ejpam-4743	201	22			NOUN
ejpam-4743	201	23	.	.	PUNCT
ejpam-4743	202	1	(	(	PUNCT
ejpam-4743	202	2	24	24	NUM
ejpam-4743	202	3	)	)	PUNCT
ejpam-4743	202	4	let	let	VERB
ejpam-4743	202	5	us	we	PRON
ejpam-4743	202	6	assume	assume	VERB
ejpam-4743	202	7	that	that	SCONJ
ejpam-4743	202	8	the	the	DET
ejpam-4743	202	9	data	datum	NOUN
ejpam-4743	202	10	of	of	ADP
ejpam-4743	202	11	problem	problem	NOUN
ejpam-4743	202	12	(	(	PUNCT
ejpam-4743	202	13	1)-(4	1)-(4	NUM
ejpam-4743	202	14	)	)	PUNCT
ejpam-4743	202	15	,	,	PUNCT
ejpam-4743	202	16	(	(	PUNCT
ejpam-4743	202	17	7	7	X
ejpam-4743	202	18	)	)	PUNCT
ejpam-4743	202	19	satisfy	satisfy	VERB
ejpam-4743	202	20	the	the	DET
ejpam-4743	202	21	following	follow	VERB
ejpam-4743	202	22	conditions	condition	NOUN
ejpam-4743	202	23	:	:	PUNCT
ejpam-4743	202	24	1	1	X
ejpam-4743	202	25	.	.	X
ejpam-4743	202	26	α	α	PROPN
ejpam-4743	202	27	>	>	X
ejpam-4743	202	28	0	0	PROPN
ejpam-4743	202	29	,	,	PUNCT
ejpam-4743	202	30	β	β	X
ejpam-4743	202	31	>	>	X
ejpam-4743	202	32	0	0	NUM
ejpam-4743	202	33	,	,	PUNCT
ejpam-4743	202	34	α2	α2	NOUN
ejpam-4743	202	35	8	8	NUM
ejpam-4743	202	36	−	−	PROPN
ejpam-4743	202	37	β	β	X
ejpam-4743	202	38	>	>	X
ejpam-4743	202	39	0	0	NUM
ejpam-4743	202	40	;	;	PUNCT
ejpam-4743	202	41	2	2	NUM
ejpam-4743	202	42	.	.	X
ejpam-4743	203	1	ϕ(x	ϕ(x	PROPN
ejpam-4743	203	2	,	,	PUNCT
ejpam-4743	203	3	y	y	NOUN
ejpam-4743	203	4	)	)	PUNCT
ejpam-4743	203	5	,	,	PUNCT
ejpam-4743	203	6	ϕx(x	ϕx(x	NUM
ejpam-4743	203	7	,	,	PUNCT
ejpam-4743	203	8	y	y	PROPN
ejpam-4743	203	9	)	)	PUNCT
ejpam-4743	203	10	,	,	PUNCT
ejpam-4743	203	11	ϕxx(x	ϕxx(x	PROPN
ejpam-4743	203	12	,	,	PUNCT
ejpam-4743	203	13	y	y	PROPN
ejpam-4743	203	14	)	)	PUNCT
ejpam-4743	203	15	,	,	PUNCT
ejpam-4743	203	16	ϕy(x	ϕy(x	PROPN
ejpam-4743	203	17	,	,	PUNCT
ejpam-4743	203	18	y	y	PROPN
ejpam-4743	203	19	)	)	PUNCT
ejpam-4743	203	20	,	,	PUNCT
ejpam-4743	203	21	ϕxy(x	ϕxy(x	PROPN
ejpam-4743	203	22	,	,	PUNCT
ejpam-4743	203	23	y	y	PROPN
ejpam-4743	203	24	)	)	PUNCT
ejpam-4743	203	25	,	,	PUNCT
ejpam-4743	203	26	ϕyy(x	ϕyy(x	PROPN
ejpam-4743	203	27	,	,	PUNCT
ejpam-4743	203	28	y	y	NOUN
ejpam-4743	203	29	)	)	PUNCT
ejpam-4743	203	30	∈	∈	PROPN
ejpam-4743	203	31	c(q̄xy	c(q̄xy	NOUN
ejpam-4743	203	32	)	)	PUNCT
ejpam-4743	203	33	,	,	PUNCT
ejpam-4743	203	34	ϕxxy(x	ϕxxy(x	PROPN
ejpam-4743	203	35	,	,	PUNCT
ejpam-4743	203	36	y	y	PROPN
ejpam-4743	203	37	)	)	PUNCT
ejpam-4743	203	38	,	,	PUNCT
ejpam-4743	203	39	ϕxyy(x	ϕxyy(x	PROPN
ejpam-4743	203	40	,	,	PUNCT
ejpam-4743	203	41	y	y	PROPN
ejpam-4743	203	42	)	)	PUNCT
ejpam-4743	203	43	,	,	PUNCT
ejpam-4743	203	44	ϕxxx(x	ϕxxx(x	PROPN
ejpam-4743	203	45	,	,	PUNCT
ejpam-4743	203	46	y	y	PROPN
ejpam-4743	203	47	)	)	PUNCT
ejpam-4743	203	48	,	,	PUNCT
ejpam-4743	203	49	ϕyyy(x	ϕyyy(x	PROPN
ejpam-4743	203	50	,	,	PUNCT
ejpam-4743	203	51	y	y	NOUN
ejpam-4743	203	52	)	)	PUNCT
ejpam-4743	203	53	∈	∈	PROPN
ejpam-4743	203	54	l2(qxy	l2(qxy	NUM
ejpam-4743	203	55	)	)	PUNCT
ejpam-4743	203	56	,	,	PUNCT
ejpam-4743	203	57	ϕx(0	ϕx(0	PROPN
ejpam-4743	203	58	,	,	PUNCT
ejpam-4743	203	59	y	y	PROPN
ejpam-4743	203	60	)	)	PUNCT
ejpam-4743	203	61	=	=	SYM
ejpam-4743	204	1	ϕ(1	ϕ(1	PROPN
ejpam-4743	204	2	,	,	PUNCT
ejpam-4743	204	3	y	y	PROPN
ejpam-4743	204	4	)	)	PUNCT
ejpam-4743	204	5	=	=	PUNCT
ejpam-4743	204	6	ϕxx(1	ϕxx(1	ADJ
ejpam-4743	204	7	,	,	PUNCT
ejpam-4743	204	8	y	y	PROPN
ejpam-4743	204	9	)	)	PUNCT
ejpam-4743	204	10	=	=	SYM
ejpam-4743	204	11	0	0	NUM
ejpam-4743	204	12	,	,	PUNCT
ejpam-4743	204	13	0	0	NUM
ejpam-4743	204	14	≤	≤	NUM
ejpam-4743	204	15	y	y	SYM
ejpam-4743	204	16	≤	≤	NUM
ejpam-4743	204	17	1	1	NUM
ejpam-4743	204	18	,	,	PUNCT
ejpam-4743	204	19	ϕ(x	ϕ(x	NOUN
ejpam-4743	204	20	,	,	PUNCT
ejpam-4743	204	21	0	0	NUM
ejpam-4743	204	22	)	)	PUNCT
ejpam-4743	204	23	=	=	SYM
ejpam-4743	204	24	ϕy(x	ϕy(x	NOUN
ejpam-4743	204	25	,	,	PUNCT
ejpam-4743	204	26	1	1	X
ejpam-4743	204	27	)	)	PUNCT
ejpam-4743	204	28	=	=	SYM
ejpam-4743	204	29	ϕyy(x	ϕyy(x	PROPN
ejpam-4743	204	30	,	,	PUNCT
ejpam-4743	204	31	0	0	NUM
ejpam-4743	204	32	)	)	PUNCT
ejpam-4743	204	33	=	=	SYM
ejpam-4743	204	34	0	0	NUM
ejpam-4743	204	35	,	,	PUNCT
ejpam-4743	204	36	0	0	NUM
ejpam-4743	204	37	≤	≤	NUM
ejpam-4743	204	38	x	x	SYM
ejpam-4743	204	39	≤	≤	NUM
ejpam-4743	204	40	1	1	NUM
ejpam-4743	204	41	;	;	PUNCT
ejpam-4743	204	42	3	3	NUM
ejpam-4743	204	43	.	.	X
ejpam-4743	204	44	ψ(x	ψ(x	PROPN
ejpam-4743	204	45	,	,	PUNCT
ejpam-4743	204	46	y	y	NOUN
ejpam-4743	204	47	)	)	PUNCT
ejpam-4743	204	48	,	,	PUNCT
ejpam-4743	204	49	ψx(x	ψx(x	PROPN
ejpam-4743	204	50	,	,	PUNCT
ejpam-4743	204	51	y	y	NOUN
ejpam-4743	204	52	)	)	PUNCT
ejpam-4743	204	53	,	,	PUNCT
ejpam-4743	204	54	ψy(x	ψy(x	X
ejpam-4743	204	55	,	,	PUNCT
ejpam-4743	204	56	y	y	NOUN
ejpam-4743	204	57	)	)	PUNCT
ejpam-4743	204	58	,	,	PUNCT
ejpam-4743	204	59	ψxx(x	ψxx(x	PROPN
ejpam-4743	204	60	,	,	PUNCT
ejpam-4743	204	61	y	y	NOUN
ejpam-4743	204	62	)	)	PUNCT
ejpam-4743	204	63	,	,	PUNCT
ejpam-4743	204	64	ψxy(x	ψxy(x	PROPN
ejpam-4743	204	65	,	,	PUNCT
ejpam-4743	204	66	y	y	NOUN
ejpam-4743	204	67	)	)	PUNCT
ejpam-4743	204	68	,	,	PUNCT
ejpam-4743	204	69	ψyy(x	ψyy(x	PROPN
ejpam-4743	204	70	,	,	PUNCT
ejpam-4743	204	71	y	y	NOUN
ejpam-4743	204	72	)	)	PUNCT
ejpam-4743	204	73	∈	∈	PROPN
ejpam-4743	204	74	c(q̄xy	c(q̄xy	NOUN
ejpam-4743	204	75	)	)	PUNCT
ejpam-4743	204	76	,	,	PUNCT
ejpam-4743	204	77	ψxxy(x	ψxxy(x	PROPN
ejpam-4743	204	78	,	,	PUNCT
ejpam-4743	204	79	y	y	PROPN
ejpam-4743	204	80	)	)	PUNCT
ejpam-4743	204	81	,	,	PUNCT
ejpam-4743	204	82	ψxyy(x	ψxyy(x	PROPN
ejpam-4743	204	83	,	,	PUNCT
ejpam-4743	204	84	y	y	PROPN
ejpam-4743	204	85	)	)	PUNCT
ejpam-4743	204	86	,	,	PUNCT
ejpam-4743	204	87	ψxxx(x	ψxxx(x	PROPN
ejpam-4743	204	88	,	,	PUNCT
ejpam-4743	204	89	y	y	PROPN
ejpam-4743	204	90	)	)	PUNCT
ejpam-4743	204	91	,	,	PUNCT
ejpam-4743	204	92	ψyyy(x	ψyyy(x	PROPN
ejpam-4743	204	93	,	,	PUNCT
ejpam-4743	204	94	y	y	PROPN
ejpam-4743	204	95	)	)	PUNCT
ejpam-4743	204	96	∈	∈	PROPN
ejpam-4743	204	97	l2(qxy	l2(qxy	NUM
ejpam-4743	204	98	)	)	PUNCT
ejpam-4743	204	99	,	,	PUNCT
ejpam-4743	204	100	ψx(0	ψx(0	PROPN
ejpam-4743	204	101	,	,	PUNCT
ejpam-4743	204	102	y	y	NOUN
ejpam-4743	204	103	)	)	PUNCT
ejpam-4743	204	104	=	=	SYM
ejpam-4743	205	1	ψ(1	ψ(1	PROPN
ejpam-4743	205	2	,	,	PUNCT
ejpam-4743	205	3	y	y	NOUN
ejpam-4743	205	4	)	)	PUNCT
ejpam-4743	205	5	=	=	PUNCT
ejpam-4743	205	6	ψxx(1	ψxx(1	PROPN
ejpam-4743	205	7	,	,	PUNCT
ejpam-4743	205	8	y	y	PROPN
ejpam-4743	205	9	)	)	PUNCT
ejpam-4743	205	10	=	=	SYM
ejpam-4743	205	11	0	0	NUM
ejpam-4743	205	12	,	,	PUNCT
ejpam-4743	205	13	0	0	NUM
ejpam-4743	205	14	≤	≤	NUM
ejpam-4743	205	15	y	y	SYM
ejpam-4743	205	16	≤	≤	NUM
ejpam-4743	205	17	1	1	NUM
ejpam-4743	205	18	,	,	PUNCT
ejpam-4743	205	19	ψ(x	ψ(x	NOUN
ejpam-4743	205	20	,	,	PUNCT
ejpam-4743	205	21	0	0	NUM
ejpam-4743	205	22	)	)	PUNCT
ejpam-4743	205	23	=	=	PUNCT
ejpam-4743	205	24	ψy(x	ψy(x	NOUN
ejpam-4743	205	25	,	,	PUNCT
ejpam-4743	205	26	1	1	X
ejpam-4743	205	27	)	)	PUNCT
ejpam-4743	205	28	=	=	SYM
ejpam-4743	205	29	ψyy(x	ψyy(x	PROPN
ejpam-4743	205	30	,	,	PUNCT
ejpam-4743	205	31	1	1	NUM
ejpam-4743	205	32	)	)	PUNCT
ejpam-4743	205	33	=	=	SYM
ejpam-4743	205	34	0	0	NUM
ejpam-4743	205	35	,	,	PUNCT
ejpam-4743	205	36	0	0	NUM
ejpam-4743	205	37	≤	≤	NUM
ejpam-4743	205	38	x	x	SYM
ejpam-4743	205	39	≤	≤	NUM
ejpam-4743	205	40	1	1	NUM
ejpam-4743	205	41	;	;	PUNCT
ejpam-4743	205	42	4	4	NUM
ejpam-4743	205	43	.	.	X
ejpam-4743	206	1	f(x	f(x	PROPN
ejpam-4743	206	2	,	,	PUNCT
ejpam-4743	206	3	y	y	PROPN
ejpam-4743	206	4	,	,	PUNCT
ejpam-4743	206	5	t	t	PROPN
ejpam-4743	206	6	)	)	PUNCT
ejpam-4743	206	7	,	,	PUNCT
ejpam-4743	206	8	fx(x	fx(x	X
ejpam-4743	206	9	,	,	PUNCT
ejpam-4743	206	10	y	y	PROPN
ejpam-4743	206	11	,	,	PUNCT
ejpam-4743	206	12	t	t	PROPN
ejpam-4743	206	13	)	)	PUNCT
ejpam-4743	206	14	,	,	PUNCT
ejpam-4743	206	15	fy(x	fy(x	X
ejpam-4743	206	16	,	,	PUNCT
ejpam-4743	206	17	y	y	PROPN
ejpam-4743	206	18	,	,	PUNCT
ejpam-4743	206	19	t	t	PROPN
ejpam-4743	206	20	)	)	PUNCT
ejpam-4743	206	21	,	,	PUNCT
ejpam-4743	206	22	fxx(x	fxx(x	PROPN
ejpam-4743	206	23	,	,	PUNCT
ejpam-4743	206	24	y	y	PROPN
ejpam-4743	206	25	,	,	PUNCT
ejpam-4743	206	26	t	t	PROPN
ejpam-4743	206	27	)	)	PUNCT
ejpam-4743	206	28	,	,	PUNCT
ejpam-4743	206	29	fxy(x	fxy(x	PROPN
ejpam-4743	206	30	,	,	PUNCT
ejpam-4743	206	31	y	y	PROPN
ejpam-4743	206	32	,	,	PUNCT
ejpam-4743	206	33	t	t	PROPN
ejpam-4743	206	34	)	)	PUNCT
ejpam-4743	206	35	,	,	PUNCT
ejpam-4743	206	36	fyy(x	fyy(x	PROPN
ejpam-4743	206	37	,	,	PUNCT
ejpam-4743	206	38	y	y	PROPN
ejpam-4743	206	39	,	,	PUNCT
ejpam-4743	206	40	t	t	PROPN
ejpam-4743	206	41	)	)	PUNCT
ejpam-4743	206	42	∈	∈	PROPN
ejpam-4743	206	43	c(dt	c(dt	PROPN
ejpam-4743	206	44	)	)	PUNCT
ejpam-4743	206	45	,	,	PUNCT
ejpam-4743	206	46	fxxx(x	fxxx(x	PROPN
ejpam-4743	206	47	,	,	PUNCT
ejpam-4743	206	48	y	y	PROPN
ejpam-4743	206	49	,	,	PUNCT
ejpam-4743	206	50	t	t	PROPN
ejpam-4743	206	51	)	)	PUNCT
ejpam-4743	206	52	,	,	PUNCT
ejpam-4743	206	53	fxxy(x	fxxy(x	PROPN
ejpam-4743	206	54	,	,	PUNCT
ejpam-4743	206	55	y	y	PROPN
ejpam-4743	206	56	,	,	PUNCT
ejpam-4743	206	57	t	t	PROPN
ejpam-4743	206	58	)	)	PUNCT
ejpam-4743	206	59	,	,	PUNCT
ejpam-4743	206	60	fxyy(x	fxyy(x	PROPN
ejpam-4743	206	61	,	,	PUNCT
ejpam-4743	206	62	y	y	PROPN
ejpam-4743	206	63	,	,	PUNCT
ejpam-4743	206	64	t	t	PROPN
ejpam-4743	206	65	)	)	PUNCT
ejpam-4743	206	66	,	,	PUNCT
ejpam-4743	206	67	fyyy(x	fyyy(x	PROPN
ejpam-4743	206	68	,	,	PUNCT
ejpam-4743	206	69	y	y	PROPN
ejpam-4743	206	70	,	,	PUNCT
ejpam-4743	206	71	t	t	PROPN
ejpam-4743	206	72	)	)	PUNCT
ejpam-4743	206	73	∈	∈	PROPN
ejpam-4743	206	74	l2(dt	l2(dt	PROPN
ejpam-4743	206	75	)	)	PUNCT
ejpam-4743	206	76	,	,	PUNCT
ejpam-4743	206	77	fx	fx	PROPN
ejpam-4743	206	78	(	(	PUNCT
ejpam-4743	206	79	0	0	NUM
ejpam-4743	206	80	,	,	PUNCT
ejpam-4743	206	81	y	y	PROPN
ejpam-4743	206	82	,	,	PUNCT
ejpam-4743	206	83	t	t	PROPN
ejpam-4743	206	84	)	)	PUNCT
ejpam-4743	206	85	=	=	SYM
ejpam-4743	207	1	f	f	PROPN
ejpam-4743	207	2	(	(	PUNCT
ejpam-4743	207	3	1	1	NUM
ejpam-4743	207	4	,	,	PUNCT
ejpam-4743	207	5	y	y	PROPN
ejpam-4743	207	6	,	,	PUNCT
ejpam-4743	207	7	t	t	PROPN
ejpam-4743	207	8	)	)	PUNCT
ejpam-4743	207	9	=	=	SYM
ejpam-4743	207	10	fxx	fxx	PROPN
ejpam-4743	207	11	(	(	PUNCT
ejpam-4743	207	12	0	0	NUM
ejpam-4743	207	13	,	,	PUNCT
ejpam-4743	207	14	y	y	PROPN
ejpam-4743	207	15	,	,	PUNCT
ejpam-4743	207	16	t	t	PROPN
ejpam-4743	207	17	)	)	PUNCT
ejpam-4743	207	18	=	=	SYM
ejpam-4743	207	19	0	0	NUM
ejpam-4743	207	20	,	,	PUNCT
ejpam-4743	207	21	0	0	NUM
ejpam-4743	207	22	≤	≤	NUM
ejpam-4743	207	23	y	y	SYM
ejpam-4743	207	24	≤	≤	NUM
ejpam-4743	207	25	1	1	NUM
ejpam-4743	207	26	,	,	PUNCT
ejpam-4743	207	27	0	0	NUM
ejpam-4743	207	28	≤	≤	NUM
ejpam-4743	207	29	t	t	PROPN
ejpam-4743	207	30	≤	≤	PROPN
ejpam-4743	207	31	t	t	PROPN
ejpam-4743	207	32	,	,	PUNCT
ejpam-4743	207	33	f	f	PROPN
ejpam-4743	207	34	(	(	PUNCT
ejpam-4743	207	35	x	x	X
ejpam-4743	207	36	,	,	PUNCT
ejpam-4743	207	37	0	0	NUM
ejpam-4743	207	38	,	,	PUNCT
ejpam-4743	207	39	t	t	PROPN
ejpam-4743	207	40	)	)	PUNCT
ejpam-4743	207	41	=	=	SYM
ejpam-4743	207	42	fy	fy	PROPN
ejpam-4743	207	43	(	(	PUNCT
ejpam-4743	207	44	x	x	X
ejpam-4743	207	45	,	,	PUNCT
ejpam-4743	207	46	1	1	NUM
ejpam-4743	207	47	,	,	PUNCT
ejpam-4743	207	48	t	t	PROPN
ejpam-4743	207	49	)	)	PUNCT
ejpam-4743	207	50	=	=	VERB
ejpam-4743	208	1	fyy	fyy	ADJ
ejpam-4743	208	2	(	(	PUNCT
ejpam-4743	208	3	x	x	NOUN
ejpam-4743	208	4	,	,	PUNCT
ejpam-4743	208	5	1	1	NUM
ejpam-4743	208	6	,	,	PUNCT
ejpam-4743	208	7	t	t	PROPN
ejpam-4743	208	8	)	)	PUNCT
ejpam-4743	208	9	=	=	SYM
ejpam-4743	208	10	0	0	NUM
ejpam-4743	208	11	,	,	PUNCT
ejpam-4743	208	12	0	0	NUM
ejpam-4743	208	13	≤	≤	NUM
ejpam-4743	208	14	x	x	SYM
ejpam-4743	208	15	≤	≤	NUM
ejpam-4743	208	16	1	1	NUM
ejpam-4743	208	17	,	,	PUNCT
ejpam-4743	208	18	0	0	NUM
ejpam-4743	208	19	≤	≤	NUM
ejpam-4743	208	20	t	t	PROPN
ejpam-4743	208	21	≤	≤	PROPN
ejpam-4743	208	22	t	t	NOUN
ejpam-4743	208	23	;	;	PUNCT
ejpam-4743	208	24	y.	y.	PROPN
ejpam-4743	208	25	t.	t.	PROPN
ejpam-4743	208	26	mehraliyev	mehraliyev	PROPN
ejpam-4743	208	27	,	,	PUNCT
ejpam-4743	208	28	s.	s.	PROPN
ejpam-4743	208	29	r.shafi	r.shafi	PROPN
ejpam-4743	208	30	,	,	PUNCT
ejpam-4743	208	31	a.	a.	NOUN
ejpam-4743	208	32	t.	t.	PROPN
ejpam-4743	208	33	ramazanova	ramazanova	PROPN
ejpam-4743	208	34	/	/	SYM
ejpam-4743	208	35	eur	eur	PROPN
ejpam-4743	208	36	.	.	PUNCT
ejpam-4743	209	1	j.	j.	PROPN
ejpam-4743	209	2	pure	pure	PROPN
ejpam-4743	209	3	appl	appl	PROPN
ejpam-4743	209	4	.	.	PROPN
ejpam-4743	209	5	math	math	PROPN
ejpam-4743	209	6	,	,	PUNCT
ejpam-4743	209	7	16	16	NUM
ejpam-4743	209	8	(	(	PUNCT
ejpam-4743	209	9	2	2	NUM
ejpam-4743	209	10	)	)	PUNCT
ejpam-4743	209	11	(	(	PUNCT
ejpam-4743	209	12	2023	2023	NUM
ejpam-4743	209	13	)	)	PUNCT
ejpam-4743	209	14	,	,	PUNCT
ejpam-4743	209	15	670	670	NUM
ejpam-4743	209	16	-	-	SYM
ejpam-4743	209	17	686	686	NUM
ejpam-4743	209	18	681	681	NUM
ejpam-4743	209	19	5	5	NUM
ejpam-4743	209	20	.	.	PUNCT
ejpam-4743	210	1	h(t	h(t	PROPN
ejpam-4743	210	2	)	)	PUNCT
ejpam-4743	210	3	∈	∈	PROPN
ejpam-4743	210	4	c2[0	c2[0	PROPN
ejpam-4743	210	5	,	,	PUNCT
ejpam-4743	210	6	t	t	X
ejpam-4743	210	7	]	]	PUNCT
ejpam-4743	210	8	,	,	PUNCT
ejpam-4743	210	9	h(t	h(t	PROPN
ejpam-4743	210	10	)	)	PUNCT
ejpam-4743	210	11	̸=	̸=	NOUN
ejpam-4743	210	12	0	0	NUM
ejpam-4743	210	13	(	(	PUNCT
ejpam-4743	210	14	0	0	NUM
ejpam-4743	210	15	≤	≤	PROPN
ejpam-4743	210	16	t	t	NOUN
ejpam-4743	210	17	≤	≤	PROPN
ejpam-4743	210	18	t	t	PROPN
ejpam-4743	210	19	)	)	PUNCT
ejpam-4743	210	20	.	.	PUNCT
ejpam-4743	211	1	then	then	ADV
ejpam-4743	211	2	from	from	ADP
ejpam-4743	211	3	(	(	PUNCT
ejpam-4743	211	4	26	26	NUM
ejpam-4743	211	5	)	)	PUNCT
ejpam-4743	211	6	(	(	PUNCT
ejpam-4743	211	7	28	28	NUM
ejpam-4743	211	8	)	)	PUNCT
ejpam-4743	211	9	,	,	PUNCT
ejpam-4743	211	10	respectively	respectively	ADV
ejpam-4743	211	11	,	,	PUNCT
ejpam-4743	211	12	we	we	PRON
ejpam-4743	211	13	obtain	obtain	VERB
ejpam-4743	211	14	:	:	PUNCT
ejpam-4743	211	15	∥u(x	∥u(x	NOUN
ejpam-4743	211	16	,	,	PUNCT
ejpam-4743	211	17	y	y	PROPN
ejpam-4743	211	18	,	,	PUNCT
ejpam-4743	211	19	t)∥b3	t)∥b3	ADJ
ejpam-4743	211	20	2,t	2,t	PROPN
ejpam-4743	211	21	≤	≤	NUM
ejpam-4743	211	22	a1(t	a1(t	ADV
ejpam-4743	211	23	)	)	PUNCT
ejpam-4743	212	1	+	+	ADJ
ejpam-4743	212	2	b1(t	b1(t	NUM
ejpam-4743	212	3	)	)	PUNCT
ejpam-4743	212	4	∥a(t)∥c[0,t	∥a(t)∥c[0,t	PROPN
ejpam-4743	212	5	]	]	PUNCT
ejpam-4743	212	6	∥u(x	∥u(x	NOUN
ejpam-4743	212	7	,	,	PUNCT
ejpam-4743	212	8	y	y	PROPN
ejpam-4743	212	9	,	,	PUNCT
ejpam-4743	212	10	t)∥b3	t)∥b3	ADJ
ejpam-4743	212	11	2,t	2,t	PROPN
ejpam-4743	212	12	+	+	CCONJ
ejpam-4743	212	13	c1(t	c1(t	X
ejpam-4743	212	14	)	)	PUNCT
ejpam-4743	212	15	∥b(t)∥c[0,t	∥b(t)∥c[0,t	NOUN
ejpam-4743	212	16	]	]	X
ejpam-4743	212	17	,	,	PUNCT
ejpam-4743	212	18	(	(	PUNCT
ejpam-4743	212	19	25	25	NUM
ejpam-4743	212	20	)	)	PUNCT
ejpam-4743	212	21	∥ã	∥ã	PUNCT
ejpam-4743	212	22	(	(	PUNCT
ejpam-4743	212	23	t)∥c[0,t	t)∥c[0,t	X
ejpam-4743	212	24	]	]	PUNCT
ejpam-4743	212	25	≤	≤	NUM
ejpam-4743	212	26	a2	a2	PROPN
ejpam-4743	212	27	(	(	PUNCT
ejpam-4743	212	28	t	t	PROPN
ejpam-4743	212	29	)	)	PUNCT
ejpam-4743	213	1	+	+	NOUN
ejpam-4743	213	2	b2	b2	NOUN
ejpam-4743	213	3	(	(	PUNCT
ejpam-4743	213	4	t	t	NOUN
ejpam-4743	213	5	)	)	PUNCT
ejpam-4743	214	1	∥a	∥a	PROPN
ejpam-4743	214	2	(	(	PUNCT
ejpam-4743	214	3	t)∥c[0,t	t)∥c[0,t	NOUN
ejpam-4743	214	4	]	]	X
ejpam-4743	214	5	∥u	∥u	PROPN
ejpam-4743	214	6	(	(	PUNCT
ejpam-4743	214	7	x	x	PROPN
ejpam-4743	214	8	,	,	PUNCT
ejpam-4743	214	9	y	y	PROPN
ejpam-4743	214	10	,	,	PUNCT
ejpam-4743	214	11	t)∥b3	t)∥b3	ADJ
ejpam-4743	214	12	2,t	2,t	PROPN
ejpam-4743	214	13	+	+	CCONJ
ejpam-4743	214	14	c2	c2	PROPN
ejpam-4743	214	15	(	(	PUNCT
ejpam-4743	214	16	t	t	PROPN
ejpam-4743	214	17	)	)	PUNCT
ejpam-4743	215	1	∥b	∥b	PROPN
ejpam-4743	215	2	(	(	PUNCT
ejpam-4743	215	3	t)∥c[0,t	t)∥c[0,t	PROPN
ejpam-4743	215	4	]	]	X
ejpam-4743	215	5	,	,	PUNCT
ejpam-4743	215	6	(	(	PUNCT
ejpam-4743	215	7	26	26	NUM
ejpam-4743	215	8	)	)	PUNCT
ejpam-4743	215	9	where	where	SCONJ
ejpam-4743	215	10	a1(t	a1(t	ADV
ejpam-4743	215	11	)	)	PUNCT
ejpam-4743	215	12	=	=	SYM
ejpam-4743	215	13	4∥ϕxxx(x	4∥ϕxxx(x	ADV
ejpam-4743	215	14	,	,	PUNCT
ejpam-4743	215	15	y)∥l2(qxy	y)∥l2(qxy	X
ejpam-4743	215	16	)	)	PUNCT
ejpam-4743	216	1	+	+	CCONJ
ejpam-4743	216	2	4∥ϕxxy(x	4∥ϕxxy(x	NUM
ejpam-4743	216	3	,	,	PUNCT
ejpam-4743	216	4	y)∥l2(qxy	y)∥l2(qxy	X
ejpam-4743	216	5	)	)	PUNCT
ejpam-4743	217	1	+	+	CCONJ
ejpam-4743	217	2	4	4	NUM
ejpam-4743	217	3	∥ϕxyy(x	∥ϕxyy(x	NOUN
ejpam-4743	217	4	,	,	PUNCT
ejpam-4743	217	5	y)∥	y)∥	X
ejpam-4743	218	1	l2(qxy)+	l2(qxy)+	NOUN
ejpam-4743	218	2	+4∥ϕyyy(x	+4∥ϕyyy(x	PROPN
ejpam-4743	218	3	,	,	PUNCT
ejpam-4743	218	4	y)∥l2(qxy	y)∥l2(qxy	X
ejpam-4743	218	5	)	)	PUNCT
ejpam-4743	219	1	+	+	CCONJ
ejpam-4743	219	2	4	4	NUM
ejpam-4743	219	3	α	α	NOUN
ejpam-4743	219	4	∥ψx(x	∥ψx(x	NOUN
ejpam-4743	219	5	,	,	PUNCT
ejpam-4743	219	6	y)∥l2(qxy	y)∥l2(qxy	X
ejpam-4743	219	7	)	)	PUNCT
ejpam-4743	220	1	+	+	CCONJ
ejpam-4743	220	2	4	4	NUM
ejpam-4743	220	3	α	α	NUM
ejpam-4743	220	4	∥ψy(x	∥ψy(x	PROPN
ejpam-4743	220	5	,	,	PUNCT
ejpam-4743	220	6	y)∥l2(qxy	y)∥l2(qxy	X
ejpam-4743	220	7	)	)	PUNCT
ejpam-4743	221	1	+	+	PUNCT
ejpam-4743	222	1	+	+	CCONJ
ejpam-4743	223	1	4	4	NUM
ejpam-4743	223	2	√	√	NOUN
ejpam-4743	223	3	t	t	PROPN
ejpam-4743	223	4	α	α	PROPN
ejpam-4743	223	5	(	(	PUNCT
ejpam-4743	223	6	∥fx(x	∥fx(x	PROPN
ejpam-4743	223	7	,	,	PUNCT
ejpam-4743	223	8	y	y	PROPN
ejpam-4743	223	9	,	,	PUNCT
ejpam-4743	223	10	t)∥l2(dt	t)∥l2(dt	NUM
ejpam-4743	223	11	)	)	PUNCT
ejpam-4743	224	1	+	+	CCONJ
ejpam-4743	224	2	∥fy(x	∥fy(x	NOUN
ejpam-4743	224	3	,	,	PUNCT
ejpam-4743	224	4	y	y	PROPN
ejpam-4743	224	5	,	,	PUNCT
ejpam-4743	224	6	t)∥l2(dt	t)∥l2(dt	NUM
ejpam-4743	224	7	)	)	PUNCT
ejpam-4743	224	8	)	)	PUNCT
ejpam-4743	224	9	,	,	PUNCT
ejpam-4743	224	10	a2(t	a2(t	PROPN
ejpam-4743	224	11	)	)	PUNCT
ejpam-4743	225	1	=	=	PUNCT
ejpam-4743	225	2	∥∥∥[h(t)]−1	∥∥∥[h(t)]−1	NUM
ejpam-4743	225	3	∥∥∥	∥∥∥	PROPN
ejpam-4743	225	4	c[0,t	c[0,t	NOUN
ejpam-4743	225	5	]	]	PUNCT
ejpam-4743	226	1			PROPN
ejpam-4743	226	2	∥∥∥∥∥∥h′′(t)−	∥∥∥∥∥∥h′′(t)−	PROPN
ejpam-4743	226	3	1∫	1∫	NUM
ejpam-4743	226	4	0	0	NUM
ejpam-4743	227	1	1∫	1∫	NUM
ejpam-4743	227	2	0	0	NUM
ejpam-4743	227	3	ω(x	ω(x	NOUN
ejpam-4743	227	4	,	,	PUNCT
ejpam-4743	227	5	y)f(x	y)f(x	PROPN
ejpam-4743	227	6	,	,	PUNCT
ejpam-4743	227	7	y	y	PROPN
ejpam-4743	227	8	,	,	PUNCT
ejpam-4743	227	9	t)dxdy	t)dxdy	PROPN
ejpam-4743	227	10	∥∥∥∥∥∥	∥∥∥∥∥∥	NUM
ejpam-4743	227	11	c[0,t	c[0,t	NOUN
ejpam-4743	227	12	]	]	PUNCT
ejpam-4743	228	1	+	+	CCONJ
ejpam-4743	228	2	+2	+2	NOUN
ejpam-4743	228	3	√	√	ADV
ejpam-4743	228	4	2	2	NUM
ejpam-4743	228	5	(	(	PUNCT
ejpam-4743	228	6	∞∑	∞∑	NUM
ejpam-4743	228	7	n=1	n=1	ADP
ejpam-4743	228	8	∞∑	∞∑	NUM
ejpam-4743	228	9	k=1	k=1	ADP
ejpam-4743	228	10	µ−2	µ−2	PROPN
ejpam-4743	228	11	k	k	PROPN
ejpam-4743	228	12	,	,	PUNCT
ejpam-4743	228	13	n	n	CCONJ
ejpam-4743	228	14	)	)	PUNCT
ejpam-4743	228	15	1	1	NUM
ejpam-4743	228	16	2	2	NUM
ejpam-4743	228	17	∥ω(x	∥ω(x	NOUN
ejpam-4743	228	18	,	,	PUNCT
ejpam-4743	228	19	y)∥c[q̄xy	y)∥c[q̄xy	X
ejpam-4743	228	20	]	]	X
ejpam-4743	228	21	β∥ϕxxx(x	β∥ϕxxx(x	X
ejpam-4743	228	22	,	,	PUNCT
ejpam-4743	228	23	y)∥l2(qxy)+	y)∥l2(qxy)+	VERB
ejpam-4743	229	1	+	+	NOUN
ejpam-4743	229	2	β∥ϕxxy(x	β∥ϕxxy(x	NOUN
ejpam-4743	229	3	,	,	PUNCT
ejpam-4743	229	4	y)∥l2(qxy	y)∥l2(qxy	X
ejpam-4743	229	5	)	)	PUNCT
ejpam-4743	230	1	+	+	CCONJ
ejpam-4743	230	2	β	β	X
ejpam-4743	230	3	∥ϕxyy(x	∥ϕxyy(x	NOUN
ejpam-4743	230	4	,	,	PUNCT
ejpam-4743	230	5	y)∥	y)∥	X
ejpam-4743	230	6	l2(qxy	l2(qxy	NUM
ejpam-4743	230	7	)	)	PUNCT
ejpam-4743	230	8	+	+	CCONJ
ejpam-4743	230	9	β∥ϕyyy(x	β∥ϕyyy(x	PROPN
ejpam-4743	230	10	,	,	PUNCT
ejpam-4743	230	11	y)∥l2(qxy	y)∥l2(qxy	X
ejpam-4743	230	12	)	)	PUNCT
ejpam-4743	231	1	+	+	CCONJ
ejpam-4743	232	1	+	+	ADP
ejpam-4743	232	2	α∥ψx(x	α∥ψx(x	ADV
ejpam-4743	232	3	,	,	PUNCT
ejpam-4743	232	4	y)∥l2(qxy	y)∥l2(qxy	X
ejpam-4743	232	5	)	)	PUNCT
ejpam-4743	232	6	+	+	CCONJ
ejpam-4743	232	7	α∥ϕy(x	α∥ϕy(x	NOUN
ejpam-4743	232	8	,	,	PUNCT
ejpam-4743	232	9	y)∥l2(qxy	y)∥l2(qxy	X
ejpam-4743	232	10	)	)	PUNCT
ejpam-4743	233	1	+	+	PUNCT
ejpam-4743	233	2	+	+	ADJ
ejpam-4743	233	3	α	α	NOUN
ejpam-4743	233	4	√	√	ADJ
ejpam-4743	233	5	t	t	PROPN
ejpam-4743	233	6	(	(	PUNCT
ejpam-4743	233	7	∥fx(x	∥fx(x	PROPN
ejpam-4743	233	8	,	,	PUNCT
ejpam-4743	233	9	y	y	PROPN
ejpam-4743	233	10	,	,	PUNCT
ejpam-4743	233	11	t)∥l2(dt	t)∥l2(dt	NUM
ejpam-4743	233	12	)	)	PUNCT
ejpam-4743	234	1	+	+	CCONJ
ejpam-4743	234	2	∥fy(x	∥fy(x	NOUN
ejpam-4743	234	3	,	,	PUNCT
ejpam-4743	234	4	y	y	PROPN
ejpam-4743	234	5	,	,	PUNCT
ejpam-4743	234	6	t)∥l2(dt	t)∥l2(dt	NUM
ejpam-4743	234	7	)	)	PUNCT
ejpam-4743	234	8	)	)	PUNCT
ejpam-4743	234	9	]	]	PUNCT
ejpam-4743	234	10	}	}	PUNCT
ejpam-4743	234	11	,	,	PUNCT
ejpam-4743	234	12	b2	b2	NOUN
ejpam-4743	234	13	(	(	PUNCT
ejpam-4743	234	14	t	t	PROPN
ejpam-4743	234	15	)	)	PUNCT
ejpam-4743	234	16	=	=	SYM
ejpam-4743	234	17	2	2	NUM
ejpam-4743	234	18	√	√	NUM
ejpam-4743	234	19	2α	2α	PROPN
ejpam-4743	234	20	∥∥∥[h(t)]−1	∥∥∥[h(t)]−1	PROPN
ejpam-4743	234	21	∥∥∥	∥∥∥	PROPN
ejpam-4743	234	22	c[0,t	c[0,t	NOUN
ejpam-4743	234	23	]	]	X
ejpam-4743	234	24	(	(	PUNCT
ejpam-4743	234	25	∞∑	∞∑	NUM
ejpam-4743	234	26	n=1	n=1	ADP
ejpam-4743	234	27	∞∑	∞∑	NUM
ejpam-4743	234	28	k=1	k=1	ADP
ejpam-4743	234	29	µ−2	µ−2	PROPN
ejpam-4743	234	30	k	k	PROPN
ejpam-4743	234	31	,	,	PUNCT
ejpam-4743	234	32	n	n	CCONJ
ejpam-4743	234	33	)	)	PUNCT
ejpam-4743	234	34	1	1	NUM
ejpam-4743	234	35	2	2	NUM
ejpam-4743	234	36	∥ω(x	∥ω(x	NOUN
ejpam-4743	234	37	,	,	PUNCT
ejpam-4743	234	38	y)∥c[q̄xy	y)∥c[q̄xy	X
ejpam-4743	234	39	]	]	PUNCT
ejpam-4743	235	1	t.	t.	PROPN
ejpam-4743	235	2	from	from	ADP
ejpam-4743	235	3	inequalities	inequality	NOUN
ejpam-4743	235	4	(	(	PUNCT
ejpam-4743	235	5	25)-(26	25)-(26	NUM
ejpam-4743	235	6	)	)	PUNCT
ejpam-4743	235	7	,	,	PUNCT
ejpam-4743	235	8	we	we	PRON
ejpam-4743	235	9	conclude	conclude	VERB
ejpam-4743	235	10	:	:	PUNCT
ejpam-4743	235	11	∥u(x	∥u(x	NOUN
ejpam-4743	235	12	,	,	PUNCT
ejpam-4743	235	13	y	y	PROPN
ejpam-4743	235	14	,	,	PUNCT
ejpam-4743	235	15	t)∥b3	t)∥b3	ADJ
ejpam-4743	235	16	2,t	2,t	PROPN
ejpam-4743	235	17	+	+	CCONJ
ejpam-4743	235	18	∥ã(t)∥c[0,t	∥ã(t)∥c[0,t	NOUN
ejpam-4743	235	19	]	]	PUNCT
ejpam-4743	235	20	≤	≤	NUM
ejpam-4743	235	21	a(t	a(t	NOUN
ejpam-4743	235	22	)	)	PUNCT
ejpam-4743	236	1	+	+	NOUN
ejpam-4743	236	2	b(t	b(t	NOUN
ejpam-4743	236	3	)	)	PUNCT
ejpam-4743	237	1	∥a(t)∥c[0,t	∥a(t)∥c[0,t	PROPN
ejpam-4743	237	2	]	]	PUNCT
ejpam-4743	237	3	∥u(x	∥u(x	NOUN
ejpam-4743	237	4	,	,	PUNCT
ejpam-4743	237	5	y	y	PROPN
ejpam-4743	237	6	,	,	PUNCT
ejpam-4743	237	7	t)∥b3	t)∥b3	ADJ
ejpam-4743	237	8	2,t	2,t	NOUN
ejpam-4743	237	9	,	,	PUNCT
ejpam-4743	237	10	(	(	PUNCT
ejpam-4743	237	11	27	27	NUM
ejpam-4743	237	12	)	)	PUNCT
ejpam-4743	237	13	where	where	SCONJ
ejpam-4743	237	14	a(t	a(t	VERB
ejpam-4743	237	15	)	)	PUNCT
ejpam-4743	237	16	=	=	PUNCT
ejpam-4743	237	17	a1(t	a1(t	ADV
ejpam-4743	237	18	)	)	PUNCT
ejpam-4743	238	1	+	+	ADV
ejpam-4743	238	2	a2(t	a2(t	NOUN
ejpam-4743	238	3	)	)	PUNCT
ejpam-4743	238	4	,	,	PUNCT
ejpam-4743	238	5	b(t	b(t	NOUN
ejpam-4743	238	6	)	)	PUNCT
ejpam-4743	239	1	=	=	PUNCT
ejpam-4743	240	1	b1(t	b1(t	PUNCT
ejpam-4743	240	2	)	)	PUNCT
ejpam-4743	241	1	+	+	ADV
ejpam-4743	241	2	b2(t	b2(t	PROPN
ejpam-4743	241	3	)	)	PUNCT
ejpam-4743	241	4	.	.	PUNCT
ejpam-4743	242	1	so	so	ADV
ejpam-4743	242	2	,	,	PUNCT
ejpam-4743	242	3	we	we	PRON
ejpam-4743	242	4	can	can	AUX
ejpam-4743	242	5	prove	prove	VERB
ejpam-4743	242	6	the	the	DET
ejpam-4743	242	7	following	follow	VERB
ejpam-4743	242	8	theorem	theorem	NOUN
ejpam-4743	242	9	:	:	PUNCT
ejpam-4743	242	10	y.	y.	PROPN
ejpam-4743	242	11	t.	t.	PROPN
ejpam-4743	242	12	mehraliyev	mehraliyev	PROPN
ejpam-4743	242	13	,	,	PUNCT
ejpam-4743	242	14	s.	s.	PROPN
ejpam-4743	242	15	r.shafi	r.shafi	PROPN
ejpam-4743	242	16	,	,	PUNCT
ejpam-4743	242	17	a.	a.	NOUN
ejpam-4743	242	18	t.	t.	PROPN
ejpam-4743	242	19	ramazanova	ramazanova	PROPN
ejpam-4743	242	20	/	/	SYM
ejpam-4743	242	21	eur	eur	PROPN
ejpam-4743	242	22	.	.	PUNCT
ejpam-4743	243	1	j.	j.	PROPN
ejpam-4743	243	2	pure	pure	PROPN
ejpam-4743	243	3	appl	appl	PROPN
ejpam-4743	243	4	.	.	PROPN
ejpam-4743	243	5	math	math	PROPN
ejpam-4743	243	6	,	,	PUNCT
ejpam-4743	243	7	16	16	NUM
ejpam-4743	243	8	(	(	PUNCT
ejpam-4743	243	9	2	2	NUM
ejpam-4743	243	10	)	)	PUNCT
ejpam-4743	243	11	(	(	PUNCT
ejpam-4743	243	12	2023	2023	NUM
ejpam-4743	243	13	)	)	PUNCT
ejpam-4743	243	14	,	,	PUNCT
ejpam-4743	243	15	670	670	NUM
ejpam-4743	243	16	-	-	SYM
ejpam-4743	243	17	686	686	NUM
ejpam-4743	243	18	682	682	NUM
ejpam-4743	243	19	theorem	theorem	NOUN
ejpam-4743	243	20	2	2	NUM
ejpam-4743	243	21	.	.	PUNCT
ejpam-4743	243	22	let	let	VERB
ejpam-4743	243	23	conditions	condition	NOUN
ejpam-4743	243	24	1	1	NUM
ejpam-4743	243	25	-	-	SYM
ejpam-4743	243	26	5	5	NUM
ejpam-4743	243	27	be	be	AUX
ejpam-4743	243	28	satisfied	satisfied	ADJ
ejpam-4743	243	29	and	and	CCONJ
ejpam-4743	243	30	b(t	b(t	PROPN
ejpam-4743	243	31	)	)	PUNCT
ejpam-4743	243	32	(	(	PUNCT
ejpam-4743	243	33	a(t	a(t	NOUN
ejpam-4743	243	34	)	)	PUNCT
ejpam-4743	244	1	+	+	CCONJ
ejpam-4743	244	2	2)2	2)2	NUM
ejpam-4743	244	3	<	<	X
ejpam-4743	244	4	1	1	NUM
ejpam-4743	244	5	.	.	PUNCT
ejpam-4743	245	1	then	then	ADV
ejpam-4743	245	2	problem	problem	NOUN
ejpam-4743	245	3	(	(	PUNCT
ejpam-4743	245	4	1)-(4	1)-(4	NUM
ejpam-4743	245	5	)	)	PUNCT
ejpam-4743	245	6	,	,	PUNCT
ejpam-4743	245	7	(	(	PUNCT
ejpam-4743	245	8	7	7	X
ejpam-4743	245	9	)	)	PUNCT
ejpam-4743	245	10	has	have	VERB
ejpam-4743	245	11	unique	unique	ADJ
ejpam-4743	245	12	solution	solution	NOUN
ejpam-4743	245	13	in	in	ADP
ejpam-4743	245	14	the	the	DET
ejpam-4743	245	15	ball	ball	NOUN
ejpam-4743	245	16	k	k	PROPN
ejpam-4743	245	17	=	=	SYM
ejpam-4743	245	18	kr(∥z∥e3	kr(∥z∥e3	PROPN
ejpam-4743	245	19	t	t	NOUN
ejpam-4743	245	20	≤	≤	NOUN
ejpam-4743	245	21	r	r	NOUN
ejpam-4743	245	22	=	=	SYM
ejpam-4743	245	23	a(t	a(t	NOUN
ejpam-4743	245	24	)	)	PUNCT
ejpam-4743	245	25	+2	+2	PROPN
ejpam-4743	245	26	)	)	PUNCT
ejpam-4743	245	27	of	of	ADP
ejpam-4743	245	28	the	the	DET
ejpam-4743	245	29	spaces	space	NOUN
ejpam-4743	245	30	e3	e3	VERB
ejpam-4743	245	31	t	t	NOUN
ejpam-4743	245	32	.	.	PUNCT
ejpam-4743	246	1	proof	proof	NOUN
ejpam-4743	246	2	.	.	PUNCT
ejpam-4743	247	1	in	in	ADP
ejpam-4743	247	2	the	the	DET
ejpam-4743	247	3	space	space	NOUN
ejpam-4743	247	4	e3	e3	NOUN
ejpam-4743	247	5	t	t	NOUN
ejpam-4743	247	6	consider	consider	VERB
ejpam-4743	247	7	the	the	DET
ejpam-4743	247	8	equation	equation	NOUN
ejpam-4743	247	9	z	z	NOUN
ejpam-4743	247	10	=	=	SYM
ejpam-4743	247	11	φz	φz	PROPN
ejpam-4743	247	12	,	,	PUNCT
ejpam-4743	247	13	where	where	SCONJ
ejpam-4743	247	14	z	z	NOUN
ejpam-4743	247	15	=	=	PRON
ejpam-4743	247	16	{	{	PUNCT
ejpam-4743	247	17	u	u	NOUN
ejpam-4743	247	18	,	,	PUNCT
ejpam-4743	247	19	a	a	PRON
ejpam-4743	247	20	}	}	PUNCT
ejpam-4743	247	21	,	,	PUNCT
ejpam-4743	247	22	the	the	DET
ejpam-4743	247	23	components	component	NOUN
ejpam-4743	247	24	φi(u	φi(u	NUM
ejpam-4743	247	25	,	,	PUNCT
ejpam-4743	247	26	a)(i	a)(i	X
ejpam-4743	247	27	=	=	SYM
ejpam-4743	247	28	1	1	NUM
ejpam-4743	247	29	,	,	PUNCT
ejpam-4743	247	30	2	2	NUM
ejpam-4743	247	31	)	)	PUNCT
ejpam-4743	247	32	of	of	ADP
ejpam-4743	247	33	the	the	DET
ejpam-4743	247	34	operator	operator	NOUN
ejpam-4743	247	35	(	(	PUNCT
ejpam-4743	247	36	u	u	NOUN
ejpam-4743	247	37	,	,	PUNCT
ejpam-4743	247	38	a	a	PRON
ejpam-4743	247	39	)	)	PUNCT
ejpam-4743	247	40	are	be	AUX
ejpam-4743	247	41	defined	define	VERB
ejpam-4743	247	42	by	by	ADP
ejpam-4743	247	43	the	the	DET
ejpam-4743	247	44	right	right	ADJ
ejpam-4743	247	45	-	-	PUNCT
ejpam-4743	247	46	hand	hand	NOUN
ejpam-4743	247	47	sides	side	NOUN
ejpam-4743	247	48	of	of	ADP
ejpam-4743	247	49	equations	equation	NOUN
ejpam-4743	247	50	(	(	PUNCT
ejpam-4743	247	51	15	15	NUM
ejpam-4743	247	52	)	)	PUNCT
ejpam-4743	247	53	,	,	PUNCT
ejpam-4743	247	54	(	(	PUNCT
ejpam-4743	247	55	22	22	NUM
ejpam-4743	247	56	)	)	PUNCT
ejpam-4743	247	57	.	.	PUNCT
ejpam-4743	248	1	consider	consider	VERB
ejpam-4743	248	2	the	the	DET
ejpam-4743	248	3	operator	operator	NOUN
ejpam-4743	248	4	(	(	PUNCT
ejpam-4743	248	5	u	u	NOUN
ejpam-4743	248	6	,	,	PUNCT
ejpam-4743	248	7	a	a	PRON
ejpam-4743	248	8	)	)	PUNCT
ejpam-4743	248	9	in	in	ADP
ejpam-4743	248	10	the	the	DET
ejpam-4743	248	11	sphere	sphere	NOUN
ejpam-4743	248	12	k	k	PROPN
ejpam-4743	248	13	=	=	SYM
ejpam-4743	248	14	kr(∥z∥e3	kr(∥z∥e3	PROPN
ejpam-4743	248	15	t	t	NOUN
ejpam-4743	248	16	≤	≤	NOUN
ejpam-4743	248	17	r	r	NOUN
ejpam-4743	248	18	=	=	SYM
ejpam-4743	248	19	a(t	a(t	NOUN
ejpam-4743	248	20	)	)	PUNCT
ejpam-4743	249	1	+	+	CCONJ
ejpam-4743	249	2	2	2	X
ejpam-4743	249	3	)	)	PUNCT
ejpam-4743	249	4	from	from	ADP
ejpam-4743	249	5	e3	e3	PROPN
ejpam-4743	249	6	t	t	NOUN
ejpam-4743	249	7	.	.	PUNCT
ejpam-4743	250	1	similarly	similarly	ADV
ejpam-4743	250	2	to	to	ADP
ejpam-4743	250	3	(	(	PUNCT
ejpam-4743	250	4	27	27	NUM
ejpam-4743	250	5	)	)	PUNCT
ejpam-4743	250	6	,	,	PUNCT
ejpam-4743	250	7	we	we	PRON
ejpam-4743	250	8	obtain	obtain	VERB
ejpam-4743	250	9	that	that	PRON
ejpam-4743	250	10	for	for	ADP
ejpam-4743	250	11	any	any	DET
ejpam-4743	250	12	z	z	PROPN
ejpam-4743	250	13	,	,	PUNCT
ejpam-4743	250	14	z1	z1	PROPN
ejpam-4743	250	15	∈	∈	PROPN
ejpam-4743	250	16	kr	kr	PROPN
ejpam-4743	250	17	fair	fair	ADJ
ejpam-4743	250	18	estimates	estimate	NOUN
ejpam-4743	250	19	:	:	PUNCT
ejpam-4743	250	20	∥φz∥e3	∥φz∥e3	NOUN
ejpam-4743	250	21	t	t	NOUN
ejpam-4743	250	22	≤	≤	NUM
ejpam-4743	250	23	a(t	a(t	NOUN
ejpam-4743	250	24	)	)	PUNCT
ejpam-4743	251	1	+	+	NOUN
ejpam-4743	251	2	b(t	b(t	NOUN
ejpam-4743	251	3	)	)	PUNCT
ejpam-4743	252	1	∥a(t)∥c[0,t	∥a(t)∥c[0,t	PROPN
ejpam-4743	252	2	]	]	PUNCT
ejpam-4743	253	1	∥u(x	∥u(x	NOUN
ejpam-4743	253	2	,	,	PUNCT
ejpam-4743	253	3	y	y	PROPN
ejpam-4743	253	4	,	,	PUNCT
ejpam-4743	253	5	t)∥b3	t)∥b3	ADJ
ejpam-4743	253	6	2,t	2,t	NOUN
ejpam-4743	253	7	≤	≤	NUM
ejpam-4743	253	8	a(t	a(t	NOUN
ejpam-4743	253	9	)	)	PUNCT
ejpam-4743	254	1	+	+	NOUN
ejpam-4743	254	2	b(t	b(t	NOUN
ejpam-4743	254	3	)	)	PUNCT
ejpam-4743	255	1	(	(	PUNCT
ejpam-4743	255	2	a(t	a(t	NOUN
ejpam-4743	255	3	)	)	PUNCT
ejpam-4743	256	1	+	+	CCONJ
ejpam-4743	256	2	2)2	2)2	NUM
ejpam-4743	256	3	,	,	PUNCT
ejpam-4743	256	4	(	(	PUNCT
ejpam-4743	256	5	28	28	NUM
ejpam-4743	256	6	)	)	PUNCT
ejpam-4743	256	7	∥φz1	∥φz1	ADJ
ejpam-4743	256	8	−	−	NOUN
ejpam-4743	256	9	φz2∥e3	φz2∥e3	NOUN
ejpam-4743	256	10	t	t	PROPN
ejpam-4743	256	11	≤	≤	NUM
ejpam-4743	256	12	b(t	b(t	PROPN
ejpam-4743	256	13	)	)	PUNCT
ejpam-4743	257	1	r	r	NOUN
ejpam-4743	257	2	(	(	PUNCT
ejpam-4743	257	3	∥a1(t)−	∥a1(t)−	PROPN
ejpam-4743	257	4	a2(t)∥c[0,t	a2(t)∥c[0,t	VERB
ejpam-4743	257	5	]	]	PUNCT
ejpam-4743	257	6	+	+	CCONJ
ejpam-4743	257	7	∥u1(x	∥u1(x	NOUN
ejpam-4743	257	8	,	,	PUNCT
ejpam-4743	257	9	y	y	PROPN
ejpam-4743	257	10	,	,	PUNCT
ejpam-4743	257	11	t)−	t)−	PROPN
ejpam-4743	257	12	u2(x	u2(x	PROPN
ejpam-4743	257	13	,	,	PUNCT
ejpam-4743	257	14	y	y	PROPN
ejpam-4743	257	15	,	,	PUNCT
ejpam-4743	257	16	t)∥b3	t)∥b3	ADJ
ejpam-4743	257	17	2,t	2,t	NOUN
ejpam-4743	257	18	)	)	PUNCT
ejpam-4743	257	19	.	.	PUNCT
ejpam-4743	258	1	(	(	PUNCT
ejpam-4743	258	2	29	29	NUM
ejpam-4743	258	3	)	)	PUNCT
ejpam-4743	258	4	then	then	ADV
ejpam-4743	258	5	estimates	estimate	NOUN
ejpam-4743	258	6	(	(	PUNCT
ejpam-4743	258	7	30	30	NUM
ejpam-4743	258	8	)	)	PUNCT
ejpam-4743	258	9	and	and	CCONJ
ejpam-4743	258	10	(	(	PUNCT
ejpam-4743	258	11	31	31	NUM
ejpam-4743	258	12	)	)	PUNCT
ejpam-4743	258	13	,	,	PUNCT
ejpam-4743	258	14	taking	take	VERB
ejpam-4743	258	15	into	into	ADP
ejpam-4743	258	16	account	account	NOUN
ejpam-4743	258	17	(	(	PUNCT
ejpam-4743	258	18	28	28	NUM
ejpam-4743	258	19	)	)	PUNCT
ejpam-4743	258	20	,	,	PUNCT
ejpam-4743	258	21	it	it	PRON
ejpam-4743	258	22	follows	follow	VERB
ejpam-4743	258	23	that	that	SCONJ
ejpam-4743	258	24	the	the	DET
ejpam-4743	258	25	operator	operator	NOUN
ejpam-4743	258	26	φ	φ	PROPN
ejpam-4743	258	27	acts	act	VERB
ejpam-4743	258	28	in	in	ADP
ejpam-4743	258	29	the	the	DET
ejpam-4743	258	30	sphere	sphere	NOUN
ejpam-4743	258	31	k	k	PROPN
ejpam-4743	258	32	=	=	SYM
ejpam-4743	258	33	kr	kr	PROPN
ejpam-4743	258	34	and	and	CCONJ
ejpam-4743	258	35	is	be	AUX
ejpam-4743	258	36	contractive	contractive	ADJ
ejpam-4743	258	37	.	.	PUNCT
ejpam-4743	259	1	therefore	therefore	ADV
ejpam-4743	259	2	,	,	PUNCT
ejpam-4743	259	3	in	in	ADP
ejpam-4743	259	4	the	the	DET
ejpam-4743	259	5	sphere	sphere	NOUN
ejpam-4743	259	6	k	k	PROPN
ejpam-4743	259	7	=	=	SYM
ejpam-4743	259	8	kr	kr	PROPN
ejpam-4743	259	9	the	the	DET
ejpam-4743	259	10	operator	operator	NOUN
ejpam-4743	259	11	φ	φ	PROPN
ejpam-4743	259	12	has	have	VERB
ejpam-4743	259	13	a	a	DET
ejpam-4743	259	14	unique	unique	ADJ
ejpam-4743	259	15	fixed	fix	VERB
ejpam-4743	259	16	point	point	NOUN
ejpam-4743	259	17	{	{	PUNCT
ejpam-4743	259	18	u	u	NOUN
ejpam-4743	259	19	,	,	PUNCT
ejpam-4743	259	20	a	a	PRON
ejpam-4743	259	21	}	}	PUNCT
ejpam-4743	259	22	,	,	PUNCT
ejpam-4743	259	23	that	that	PRON
ejpam-4743	259	24	is	be	AUX
ejpam-4743	259	25	a	a	DET
ejpam-4743	259	26	solution	solution	NOUN
ejpam-4743	259	27	of	of	ADP
ejpam-4743	259	28	equation	equation	NOUN
ejpam-4743	259	29	(	(	PUNCT
ejpam-4743	259	30	15),(22	15),(22	NUM
ejpam-4743	259	31	)	)	PUNCT
ejpam-4743	259	32	.	.	PUNCT
ejpam-4743	260	1	the	the	DET
ejpam-4743	260	2	function	function	NOUN
ejpam-4743	260	3	u(x	u(x	VERB
ejpam-4743	260	4	,	,	PUNCT
ejpam-4743	260	5	y	y	PROPN
ejpam-4743	260	6	,	,	PUNCT
ejpam-4743	260	7	t	t	PROPN
ejpam-4743	260	8	)	)	PUNCT
ejpam-4743	260	9	,	,	PUNCT
ejpam-4743	260	10	as	as	ADP
ejpam-4743	260	11	an	an	DET
ejpam-4743	260	12	element	element	NOUN
ejpam-4743	260	13	of	of	ADP
ejpam-4743	260	14	space	space	NOUN
ejpam-4743	260	15	b3	b3	PROPN
ejpam-4743	260	16	2,t	2,t	NOUN
ejpam-4743	260	17	,	,	PUNCT
ejpam-4743	260	18	is	be	AUX
ejpam-4743	260	19	continuous	continuous	ADJ
ejpam-4743	260	20	and	and	CCONJ
ejpam-4743	260	21	has	have	VERB
ejpam-4743	260	22	continuous	continuous	ADJ
ejpam-4743	260	23	derivatives	derivative	NOUN
ejpam-4743	260	24	ux(x	ux(x	ADV
ejpam-4743	260	25	,	,	PUNCT
ejpam-4743	260	26	y	y	PROPN
ejpam-4743	260	27	,	,	PUNCT
ejpam-4743	260	28	t	t	PROPN
ejpam-4743	260	29	)	)	PUNCT
ejpam-4743	260	30	,	,	PUNCT
ejpam-4743	260	31	uxx(x	uxx(x	PROPN
ejpam-4743	260	32	,	,	PUNCT
ejpam-4743	260	33	y	y	PROPN
ejpam-4743	260	34	,	,	PUNCT
ejpam-4743	260	35	t	t	PROPN
ejpam-4743	260	36	)	)	PUNCT
ejpam-4743	260	37	,	,	PUNCT
ejpam-4743	260	38	uy(x	uy(x	X
ejpam-4743	260	39	,	,	PUNCT
ejpam-4743	260	40	y	y	PROPN
ejpam-4743	260	41	,	,	PUNCT
ejpam-4743	260	42	t	t	PROPN
ejpam-4743	260	43	)	)	PUNCT
ejpam-4743	260	44	,	,	PUNCT
ejpam-4743	260	45	uxy(x	uxy(x	PROPN
ejpam-4743	260	46	,	,	PUNCT
ejpam-4743	260	47	y	y	PROPN
ejpam-4743	260	48	,	,	PUNCT
ejpam-4743	260	49	t	t	PROPN
ejpam-4743	260	50	)	)	PUNCT
ejpam-4743	260	51	,	,	PUNCT
ejpam-4743	260	52	uyy(x	uyy(x	PROPN
ejpam-4743	260	53	,	,	PUNCT
ejpam-4743	260	54	y	y	PROPN
ejpam-4743	260	55	,	,	PUNCT
ejpam-4743	260	56	t	t	PROPN
ejpam-4743	260	57	)	)	PUNCT
ejpam-4743	260	58	,	,	PUNCT
ejpam-4743	260	59	uxxx(x	uxxx(x	PROPN
ejpam-4743	260	60	,	,	PUNCT
ejpam-4743	260	61	y	y	PROPN
ejpam-4743	260	62	,	,	PUNCT
ejpam-4743	260	63	t	t	PROPN
ejpam-4743	260	64	)	)	PUNCT
ejpam-4743	260	65	,	,	PUNCT
ejpam-4743	260	66	uyyy(x	uyyy(x	PROPN
ejpam-4743	260	67	,	,	PUNCT
ejpam-4743	260	68	y	y	PROPN
ejpam-4743	260	69	,	,	PUNCT
ejpam-4743	260	70	t	t	PROPN
ejpam-4743	260	71	)	)	PUNCT
ejpam-4743	260	72	in	in	ADP
ejpam-4743	260	73	dt	dt	PROPN
ejpam-4743	260	74	.	.	PUNCT
ejpam-4743	261	1	further	far	ADV
ejpam-4743	261	2	,	,	PUNCT
ejpam-4743	261	3	from	from	ADP
ejpam-4743	261	4	(	(	PUNCT
ejpam-4743	261	5	19	19	NUM
ejpam-4743	261	6	)	)	PUNCT
ejpam-4743	261	7	,	,	PUNCT
ejpam-4743	261	8	we	we	PRON
ejpam-4743	261	9	find	find	VERB
ejpam-4743	261	10	:	:	PUNCT
ejpam-4743	261	11	{	{	PUNCT
ejpam-4743	261	12	∞∑	∞∑	NUM
ejpam-4743	261	13	n=1	n=1	ADP
ejpam-4743	261	14	∞∑	∞∑	NUM
ejpam-4743	261	15	k=1	k=1	X
ejpam-4743	262	1	(	(	PUNCT
ejpam-4743	262	2	µ3k	µ3k	PROPN
ejpam-4743	262	3	,	,	PUNCT
ejpam-4743	262	4	n	n	X
ejpam-4743	262	5	∥∥u′k	∥∥u′k	ADJ
ejpam-4743	262	6	,	,	PUNCT
ejpam-4743	262	7	n(t)∥∥c[0,t	n(t)∥∥c[0,t	NOUN
ejpam-4743	262	8	]	]	PUNCT
ejpam-4743	262	9	)	)	PUNCT
ejpam-4743	262	10	2	2	X
ejpam-4743	262	11	}	}	SYM
ejpam-4743	262	12	1	1	NUM
ejpam-4743	262	13	2	2	NUM
ejpam-4743	262	14	≤	≤	NUM
ejpam-4743	262	15	4	4	NUM
ejpam-4743	262	16	√	√	NOUN
ejpam-4743	262	17	2β	2β	NUM
ejpam-4743	262	18	α	α	NOUN
ejpam-4743	262	19	(	(	PUNCT
ejpam-4743	262	20	∞∑	∞∑	NUM
ejpam-4743	262	21	n=1	n=1	ADP
ejpam-4743	262	22	∞∑	∞∑	NOUN
ejpam-4743	262	23	k=1	k=1	X
ejpam-4743	262	24	(	(	PUNCT
ejpam-4743	262	25	λ3k	λ3k	PROPN
ejpam-4743	262	26	|ϕk	|ϕk	NOUN
ejpam-4743	262	27	,	,	PUNCT
ejpam-4743	262	28	n|	n|	NOUN
ejpam-4743	262	29	)	)	PUNCT
ejpam-4743	262	30	2	2	NUM
ejpam-4743	262	31	)	)	PUNCT
ejpam-4743	262	32	1	1	NUM
ejpam-4743	262	33	2	2	NUM
ejpam-4743	262	34	+	+	CCONJ
ejpam-4743	262	35	+	+	NUM
ejpam-4743	262	36	4	4	NUM
ejpam-4743	262	37	√	√	NOUN
ejpam-4743	262	38	2β	2β	NUM
ejpam-4743	262	39	α	α	NOUN
ejpam-4743	262	40	(	(	PUNCT
ejpam-4743	262	41	∞∑	∞∑	NUM
ejpam-4743	262	42	n=1	n=1	ADP
ejpam-4743	262	43	∞∑	∞∑	NOUN
ejpam-4743	262	44	k=1	k=1	X
ejpam-4743	263	1	(	(	PUNCT
ejpam-4743	263	2	λ2k	λ2k	X
ejpam-4743	263	3	γn	γn	ADP
ejpam-4743	263	4	|ϕk	|ϕk	NUM
ejpam-4743	263	5	,	,	PUNCT
ejpam-4743	263	6	n|	n|	NOUN
ejpam-4743	263	7	)	)	PUNCT
ejpam-4743	263	8	2	2	NUM
ejpam-4743	263	9	)	)	PUNCT
ejpam-4743	263	10	1	1	NUM
ejpam-4743	263	11	2	2	NUM
ejpam-4743	263	12	+	+	CCONJ
ejpam-4743	263	13	4	4	NUM
ejpam-4743	263	14	√	√	NOUN
ejpam-4743	263	15	2β	2β	NUM
ejpam-4743	263	16	α	α	NOUN
ejpam-4743	263	17	(	(	PUNCT
ejpam-4743	263	18	∞∑	∞∑	NUM
ejpam-4743	263	19	n=1	n=1	ADP
ejpam-4743	263	20	∞∑	∞∑	NOUN
ejpam-4743	263	21	k=1	k=1	X
ejpam-4743	263	22	(	(	PUNCT
ejpam-4743	263	23	λkγ	λkγ	VERB
ejpam-4743	263	24	2	2	NUM
ejpam-4743	263	25	n	n	SYM
ejpam-4743	263	26	|ϕk	|ϕk	NUM
ejpam-4743	263	27	,	,	PUNCT
ejpam-4743	263	28	n|	n|	NOUN
ejpam-4743	263	29	)	)	PUNCT
ejpam-4743	263	30	2	2	NUM
ejpam-4743	263	31	)	)	PUNCT
ejpam-4743	263	32	1	1	NUM
ejpam-4743	263	33	2	2	NUM
ejpam-4743	263	34	+	+	CCONJ
ejpam-4743	263	35	+	+	NUM
ejpam-4743	263	36	4	4	NUM
ejpam-4743	263	37	√	√	NOUN
ejpam-4743	263	38	2β	2β	NUM
ejpam-4743	263	39	α	α	NOUN
ejpam-4743	263	40	(	(	PUNCT
ejpam-4743	263	41	∞∑	∞∑	NUM
ejpam-4743	263	42	n=1	n=1	ADP
ejpam-4743	263	43	∞∑	∞∑	NUM
ejpam-4743	263	44	k=1	k=1	PUNCT
ejpam-4743	263	45	(	(	PUNCT
ejpam-4743	263	46	γ3n	γ3n	NUM
ejpam-4743	263	47	|ϕk	|ϕk	NUM
ejpam-4743	263	48	,	,	PUNCT
ejpam-4743	263	49	n|	n|	NOUN
ejpam-4743	263	50	)	)	PUNCT
ejpam-4743	263	51	2	2	NUM
ejpam-4743	263	52	)	)	PUNCT
ejpam-4743	263	53	1	1	NUM
ejpam-4743	263	54	2	2	NUM
ejpam-4743	263	55	+	+	CCONJ
ejpam-4743	263	56	+4	+4	ADJ
ejpam-4743	263	57	√	√	NUM
ejpam-4743	263	58	2	2	NUM
ejpam-4743	263	59	(	(	PUNCT
ejpam-4743	263	60	∞∑	∞∑	NUM
ejpam-4743	263	61	n=1	n=1	ADP
ejpam-4743	263	62	∞∑	∞∑	NOUN
ejpam-4743	263	63	k=1	k=1	PUNCT
ejpam-4743	263	64	(	(	PUNCT
ejpam-4743	263	65	λ3k	λ3k	PUNCT
ejpam-4743	263	66	|ψk	|ψk	NUM
ejpam-4743	263	67	,	,	PUNCT
ejpam-4743	263	68	n|	n|	NOUN
ejpam-4743	263	69	)	)	PUNCT
ejpam-4743	263	70	2	2	NUM
ejpam-4743	263	71	)	)	PUNCT
ejpam-4743	263	72	1	1	NUM
ejpam-4743	263	73	2	2	NUM
ejpam-4743	263	74	+	+	CCONJ
ejpam-4743	263	75	4	4	NUM
ejpam-4743	263	76	√	√	NUM
ejpam-4743	263	77	2	2	NUM
ejpam-4743	263	78	(	(	PUNCT
ejpam-4743	264	1	∞∑	∞∑	NUM
ejpam-4743	264	2	n=1	n=1	ADP
ejpam-4743	264	3	∞∑	∞∑	NOUN
ejpam-4743	264	4	k=1	k=1	X
ejpam-4743	264	5	(	(	PUNCT
ejpam-4743	264	6	λ2k	λ2k	X
ejpam-4743	264	7	γn	γn	ADP
ejpam-4743	264	8	|ψk	|ψk	NUM
ejpam-4743	264	9	,	,	PUNCT
ejpam-4743	264	10	n|	n|	NOUN
ejpam-4743	264	11	)	)	PUNCT
ejpam-4743	264	12	2	2	NUM
ejpam-4743	264	13	)	)	PUNCT
ejpam-4743	264	14	1	1	NUM
ejpam-4743	264	15	2	2	NUM
ejpam-4743	264	16	+	+	CCONJ
ejpam-4743	264	17	+4	+4	ADJ
ejpam-4743	264	18	√	√	NUM
ejpam-4743	264	19	2	2	NUM
ejpam-4743	264	20	(	(	PUNCT
ejpam-4743	264	21	∞∑	∞∑	NUM
ejpam-4743	264	22	n=1	n=1	ADP
ejpam-4743	264	23	∞∑	∞∑	NOUN
ejpam-4743	264	24	k=1	k=1	X
ejpam-4743	264	25	(	(	PUNCT
ejpam-4743	264	26	λkγ	λkγ	VERB
ejpam-4743	264	27	2	2	NUM
ejpam-4743	264	28	n	n	CCONJ
ejpam-4743	264	29	|ψk	|ψk	NUM
ejpam-4743	264	30	,	,	PUNCT
ejpam-4743	264	31	n|	n|	NOUN
ejpam-4743	264	32	)	)	PUNCT
ejpam-4743	264	33	2	2	NUM
ejpam-4743	264	34	)	)	PUNCT
ejpam-4743	264	35	1	1	NUM
ejpam-4743	264	36	2	2	NUM
ejpam-4743	264	37	+	+	CCONJ
ejpam-4743	264	38	4	4	NUM
ejpam-4743	264	39	√	√	NUM
ejpam-4743	264	40	2	2	NUM
ejpam-4743	264	41	(	(	PUNCT
ejpam-4743	264	42	∞∑	∞∑	NUM
ejpam-4743	264	43	n=1	n=1	ADP
ejpam-4743	264	44	∞∑	∞∑	NUM
ejpam-4743	264	45	k=1	k=1	PUNCT
ejpam-4743	264	46	(	(	PUNCT
ejpam-4743	264	47	γ3n	γ3n	NUM
ejpam-4743	264	48	|ψk	|ψk	NUM
ejpam-4743	264	49	,	,	PUNCT
ejpam-4743	264	50	n|	n|	NOUN
ejpam-4743	264	51	)	)	PUNCT
ejpam-4743	264	52	2	2	NUM
ejpam-4743	264	53	)	)	PUNCT
ejpam-4743	264	54	1	1	NUM
ejpam-4743	264	55	2	2	NUM
ejpam-4743	264	56	+	+	CCONJ
ejpam-4743	264	57	y.	y.	PROPN
ejpam-4743	264	58	t.	t.	PROPN
ejpam-4743	264	59	mehraliyev	mehraliyev	PROPN
ejpam-4743	264	60	,	,	PUNCT
ejpam-4743	264	61	s.	s.	PROPN
ejpam-4743	264	62	r.shafi	r.shafi	PROPN
ejpam-4743	264	63	,	,	PUNCT
ejpam-4743	264	64	a.	a.	NOUN
ejpam-4743	264	65	t.	t.	PROPN
ejpam-4743	264	66	ramazanova	ramazanova	PROPN
ejpam-4743	264	67	/	/	SYM
ejpam-4743	264	68	eur	eur	PROPN
ejpam-4743	264	69	.	.	PUNCT
ejpam-4743	265	1	j.	j.	PROPN
ejpam-4743	265	2	pure	pure	PROPN
ejpam-4743	265	3	appl	appl	PROPN
ejpam-4743	265	4	.	.	PROPN
ejpam-4743	265	5	math	math	PROPN
ejpam-4743	265	6	,	,	PUNCT
ejpam-4743	265	7	16	16	NUM
ejpam-4743	265	8	(	(	PUNCT
ejpam-4743	265	9	2	2	NUM
ejpam-4743	265	10	)	)	PUNCT
ejpam-4743	265	11	(	(	PUNCT
ejpam-4743	265	12	2023	2023	NUM
ejpam-4743	265	13	)	)	PUNCT
ejpam-4743	265	14	,	,	PUNCT
ejpam-4743	265	15	670	670	NUM
ejpam-4743	265	16	-	-	SYM
ejpam-4743	265	17	686	686	NUM
ejpam-4743	265	18	683	683	NUM
ejpam-4743	265	19	+4	+4	ADV
ejpam-4743	265	20	√	√	NUM
ejpam-4743	265	21	2	2	NUM
ejpam-4743	265	22	t	t	NOUN
ejpam-4743	265	23			NOUN
ejpam-4743	265	24			PROPN
ejpam-4743	265	25	t∫	t∫	PROPN
ejpam-4743	265	26	0	0	NUM
ejpam-4743	266	1	∞∑	∞∑	NUM
ejpam-4743	266	2	n=1	n=1	ADP
ejpam-4743	266	3	∞∑	∞∑	NUM
ejpam-4743	266	4	k=1	k=1	X
ejpam-4743	267	1	(	(	PUNCT
ejpam-4743	267	2	λ3k	λ3k	PROPN
ejpam-4743	267	3	|fk	|fk	X
ejpam-4743	267	4	,	,	PUNCT
ejpam-4743	267	5	n(τ)|	n(τ)|	ADV
ejpam-4743	267	6	)	)	PUNCT
ejpam-4743	267	7	2	2	NUM
ejpam-4743	267	8	dτ	dτ	NOUN
ejpam-4743	267	9			PROPN
ejpam-4743	267	10	1	1	NUM
ejpam-4743	267	11	2	2	NUM
ejpam-4743	267	12	+	+	ADP
ejpam-4743	267	13			PROPN
ejpam-4743	267	14	t∫	t∫	NUM
ejpam-4743	267	15	0	0	NUM
ejpam-4743	267	16	∞∑	∞∑	NUM
ejpam-4743	267	17	n=1	n=1	ADP
ejpam-4743	267	18	∞∑	∞∑	NUM
ejpam-4743	267	19	k=1	k=1	PUNCT
ejpam-4743	268	1	(	(	PUNCT
ejpam-4743	268	2	λ2kγn	λ2kγn	PROPN
ejpam-4743	268	3	|fk	|fk	X
ejpam-4743	268	4	,	,	PUNCT
ejpam-4743	268	5	n(τ)|	n(τ)|	ADV
ejpam-4743	268	6	)	)	PUNCT
ejpam-4743	268	7	2	2	NUM
ejpam-4743	268	8	dτ	dτ	NOUN
ejpam-4743	268	9			PROPN
ejpam-4743	268	10	1	1	NUM
ejpam-4743	268	11	2	2	NUM
ejpam-4743	268	12	+	+	NOUN
ejpam-4743	268	13	+	+	CCONJ
ejpam-4743	268	14			PROPN
ejpam-4743	268	15	t∫	t∫	NUM
ejpam-4743	268	16	0	0	NUM
ejpam-4743	269	1	∞∑	∞∑	NUM
ejpam-4743	269	2	n=1	n=1	ADP
ejpam-4743	269	3	∞∑	∞∑	NUM
ejpam-4743	269	4	k=1	k=1	X
ejpam-4743	269	5	(	(	PUNCT
ejpam-4743	269	6	λkγ	λkγ	VERB
ejpam-4743	269	7	2	2	NUM
ejpam-4743	269	8	n	n	NOUN
ejpam-4743	269	9	|fk	|fk	PROPN
ejpam-4743	269	10	,	,	PUNCT
ejpam-4743	269	11	n(τ)|	n(τ)|	ADV
ejpam-4743	269	12	)	)	PUNCT
ejpam-4743	269	13	2	2	NUM
ejpam-4743	269	14	dτ	dτ	NOUN
ejpam-4743	269	15			PROPN
ejpam-4743	269	16	1	1	NUM
ejpam-4743	269	17	2	2	NUM
ejpam-4743	269	18	+	+	ADP
ejpam-4743	269	19			PROPN
ejpam-4743	269	20	t∫	t∫	NUM
ejpam-4743	269	21	0	0	NUM
ejpam-4743	270	1	∞∑	∞∑	NUM
ejpam-4743	270	2	n=1	n=1	ADP
ejpam-4743	270	3	∞∑	∞∑	NUM
ejpam-4743	270	4	k=1	k=1	PUNCT
ejpam-4743	271	1	(	(	PUNCT
ejpam-4743	271	2	γ3n	γ3n	NUM
ejpam-4743	271	3	|fk	|fk	NUM
ejpam-4743	271	4	,	,	PUNCT
ejpam-4743	271	5	n(τ)|	n(τ)|	ADV
ejpam-4743	271	6	)	)	PUNCT
ejpam-4743	271	7	2	2	NUM
ejpam-4743	271	8	dτ	dτ	NOUN
ejpam-4743	271	9			PROPN
ejpam-4743	271	10	1	1	NUM
ejpam-4743	271	11	2	2	NUM
ejpam-4743	271	12	+	+	NOUN
ejpam-4743	271	13	+4	+4	NOUN
ejpam-4743	271	14	√	√	PROPN
ejpam-4743	272	1	2t∥a(t)∥c[0,t	2t∥a(t)∥c[0,t	NOUN
ejpam-4743	272	2	]	]	X
ejpam-4743	272	3	(	(	PUNCT
ejpam-4743	272	4	∞∑	∞∑	NUM
ejpam-4743	272	5	n=1	n=1	ADP
ejpam-4743	272	6	∞∑	∞∑	NUM
ejpam-4743	272	7	k=1	k=1	X
ejpam-4743	272	8	(	(	PUNCT
ejpam-4743	272	9	µ2k	µ2k	ADP
ejpam-4743	272	10	,	,	PUNCT
ejpam-4743	272	11	n	n	PRON
ejpam-4743	272	12	∥uk	∥uk	NOUN
ejpam-4743	272	13	,	,	PUNCT
ejpam-4743	272	14	n(t)∥c[0,t	n(t)∥c[0,t	NOUN
ejpam-4743	272	15	]	]	PUNCT
ejpam-4743	272	16	)	)	PUNCT
ejpam-4743	273	1	2	2	X
ejpam-4743	273	2	)	)	PUNCT
ejpam-4743	273	3	1	1	NUM
ejpam-4743	273	4	2	2	NUM
ejpam-4743	273	5	,	,	PUNCT
ejpam-4743	273	6	or	or	CCONJ
ejpam-4743	273	7	{	{	PUNCT
ejpam-4743	273	8	∞∑	∞∑	NUM
ejpam-4743	273	9	n=1	n=1	ADP
ejpam-4743	274	1	∞∑	∞∑	NUM
ejpam-4743	274	2	k=1	k=1	X
ejpam-4743	274	3	(	(	PUNCT
ejpam-4743	274	4	µ3k	µ3k	PROPN
ejpam-4743	274	5	,	,	PUNCT
ejpam-4743	274	6	n	n	X
ejpam-4743	274	7	∥∥u′k	∥∥u′k	ADJ
ejpam-4743	274	8	,	,	PUNCT
ejpam-4743	274	9	n(t)∥∥c[0,t	n(t)∥∥c[0,t	NOUN
ejpam-4743	274	10	]	]	PUNCT
ejpam-4743	274	11	)	)	PUNCT
ejpam-4743	274	12	2	2	X
ejpam-4743	274	13	}	}	SYM
ejpam-4743	274	14	1	1	NUM
ejpam-4743	274	15	2	2	NUM
ejpam-4743	274	16	≤	≤	NUM
ejpam-4743	274	17	4	4	NUM
ejpam-4743	274	18	√	√	NOUN
ejpam-4743	274	19	2β	2β	NUM
ejpam-4743	274	20	α	α	NOUN
ejpam-4743	274	21	∥ϕxxx(x	∥ϕxxx(x	PROPN
ejpam-4743	274	22	,	,	PUNCT
ejpam-4743	274	23	y)∥l2(qxy	y)∥l2(qxy	X
ejpam-4743	274	24	)	)	PUNCT
ejpam-4743	275	1	+	+	CCONJ
ejpam-4743	275	2	4∥ϕxxx(x	4∥ϕxxx(x	ADV
ejpam-4743	275	3	,	,	PUNCT
ejpam-4743	275	4	y)∥l2(qxy	y)∥l2(qxy	X
ejpam-4743	275	5	)	)	PUNCT
ejpam-4743	276	1	+	+	CCONJ
ejpam-4743	276	2	4∥ϕxxy(x	4∥ϕxxy(x	NUM
ejpam-4743	276	3	,	,	PUNCT
ejpam-4743	276	4	y)∥l2(qxy	y)∥l2(qxy	X
ejpam-4743	276	5	)	)	PUNCT
ejpam-4743	277	1	+	+	CCONJ
ejpam-4743	277	2	4	4	NUM
ejpam-4743	277	3	∥ϕxyy(x	∥ϕxyy(x	NOUN
ejpam-4743	277	4	,	,	PUNCT
ejpam-4743	277	5	y)∥	y)∥	X
ejpam-4743	278	1	l2(qxy)+	l2(qxy)+	NOUN
ejpam-4743	278	2	+	+	CCONJ
ejpam-4743	278	3	4	4	NUM
ejpam-4743	278	4	√	√	NOUN
ejpam-4743	278	5	2β	2β	NUM
ejpam-4743	278	6	α	α	PRON
ejpam-4743	278	7	∥ϕxxy(x	∥ϕxxy(x	NOUN
ejpam-4743	278	8	,	,	PUNCT
ejpam-4743	278	9	y)∥l2(qxy	y)∥l2(qxy	X
ejpam-4743	278	10	)	)	PUNCT
ejpam-4743	279	1	+	+	CCONJ
ejpam-4743	279	2	4	4	NUM
ejpam-4743	279	3	√	√	NOUN
ejpam-4743	279	4	2β	2β	NUM
ejpam-4743	279	5	α	α	PRON
ejpam-4743	279	6	∥ϕxyy(x	∥ϕxyy(x	NOUN
ejpam-4743	279	7	,	,	PUNCT
ejpam-4743	279	8	y)∥l2(qxy	y)∥l2(qxy	X
ejpam-4743	279	9	)	)	PUNCT
ejpam-4743	280	1	+	+	PUNCT
ejpam-4743	280	2	+	+	CCONJ
ejpam-4743	280	3	4	4	NUM
ejpam-4743	280	4	√	√	NOUN
ejpam-4743	280	5	2β	2β	NUM
ejpam-4743	280	6	α	α	PROPN
ejpam-4743	280	7	∥ϕyyy(x	∥ϕyyy(x	PROPN
ejpam-4743	280	8	,	,	PUNCT
ejpam-4743	280	9	y)∥l2(qxy	y)∥l2(qxy	X
ejpam-4743	280	10	)	)	PUNCT
ejpam-4743	281	1	+	+	CCONJ
ejpam-4743	282	1	+4	+4	ADJ
ejpam-4743	282	2	√	√	NUM
ejpam-4743	282	3	2∥ψxxx(x	2∥ψxxx(x	NUM
ejpam-4743	282	4	,	,	PUNCT
ejpam-4743	282	5	y)∥l2(qxy	y)∥l2(qxy	X
ejpam-4743	282	6	)	)	PUNCT
ejpam-4743	283	1	+	+	CCONJ
ejpam-4743	283	2	4	4	NUM
ejpam-4743	283	3	√	√	NUM
ejpam-4743	283	4	2∥ψxxy(x	2∥ψxxy(x	NOUN
ejpam-4743	283	5	,	,	PUNCT
ejpam-4743	283	6	y)∥l2(qxy	y)∥l2(qxy	X
ejpam-4743	283	7	)	)	PUNCT
ejpam-4743	284	1	+	+	CCONJ
ejpam-4743	285	1	+4	+4	PROPN
ejpam-4743	285	2	√	√	NUM
ejpam-4743	285	3	2∥ψxyy(x	2∥ψxyy(x	NUM
ejpam-4743	285	4	,	,	PUNCT
ejpam-4743	285	5	y)∥l2(qxy	y)∥l2(qxy	X
ejpam-4743	285	6	)	)	PUNCT
ejpam-4743	286	1	+	+	CCONJ
ejpam-4743	286	2	4	4	NUM
ejpam-4743	286	3	√	√	NUM
ejpam-4743	286	4	2∥ψyyy(x	2∥ψyyy(x	NUM
ejpam-4743	286	5	,	,	PUNCT
ejpam-4743	286	6	y)∥l2(qxy	y)∥l2(qxy	X
ejpam-4743	286	7	)	)	PUNCT
ejpam-4743	287	1	+	+	CCONJ
ejpam-4743	288	1	+4	+4	ADJ
ejpam-4743	288	2	√	√	NUM
ejpam-4743	288	3	2	2	NUM
ejpam-4743	288	4	t	t	NOUN
ejpam-4743	288	5	(	(	PUNCT
ejpam-4743	288	6	∥fxxx(x	∥fxxx(x	PROPN
ejpam-4743	288	7	,	,	PUNCT
ejpam-4743	288	8	y	y	PROPN
ejpam-4743	288	9	,	,	PUNCT
ejpam-4743	288	10	t)∥l2(dt	t)∥l2(dt	NUM
ejpam-4743	288	11	)	)	PUNCT
ejpam-4743	289	1	+	+	CCONJ
ejpam-4743	289	2	∥fxxy(x	∥fxxy(x	NOUN
ejpam-4743	289	3	,	,	PUNCT
ejpam-4743	289	4	y	y	PROPN
ejpam-4743	289	5	,	,	PUNCT
ejpam-4743	289	6	t)∥l2(dt	t)∥l2(dt	NUM
ejpam-4743	289	7	)	)	PUNCT
ejpam-4743	289	8	+	+	PUNCT
ejpam-4743	290	1	+	+	ADJ
ejpam-4743	290	2	∥fxyy(x	∥fxyy(x	NOUN
ejpam-4743	290	3	,	,	PUNCT
ejpam-4743	290	4	y	y	PROPN
ejpam-4743	290	5	,	,	PUNCT
ejpam-4743	290	6	t)∥l2(dt	t)∥l2(dt	NUM
ejpam-4743	290	7	)	)	PUNCT
ejpam-4743	291	1	+	+	CCONJ
ejpam-4743	291	2	∥fyyy(x	∥fyyy(x	NUM
ejpam-4743	291	3	,	,	PUNCT
ejpam-4743	291	4	y	y	PROPN
ejpam-4743	291	5	,	,	PUNCT
ejpam-4743	291	6	t)∥l2(dt	t)∥l2(dt	NUM
ejpam-4743	291	7	)	)	PUNCT
ejpam-4743	291	8	)	)	PUNCT
ejpam-4743	292	1	+	+	CCONJ
ejpam-4743	292	2	+4	+4	ADJ
ejpam-4743	292	3	√	√	NUM
ejpam-4743	292	4	2t∥a(t)∥c[0,t	2t∥a(t)∥c[0,t	NUM
ejpam-4743	292	5	]	]	X
ejpam-4743	292	6	(	(	PUNCT
ejpam-4743	292	7	∞∑	∞∑	NUM
ejpam-4743	292	8	n=1	n=1	ADP
ejpam-4743	292	9	∞∑	∞∑	NUM
ejpam-4743	292	10	k=1	k=1	X
ejpam-4743	293	1	(	(	PUNCT
ejpam-4743	293	2	µ3k	µ3k	PROPN
ejpam-4743	293	3	,	,	PUNCT
ejpam-4743	293	4	n	n	PRON
ejpam-4743	293	5	∥uk	∥uk	NOUN
ejpam-4743	293	6	,	,	PUNCT
ejpam-4743	293	7	n(t)∥c[0,t	n(t)∥c[0,t	NOUN
ejpam-4743	293	8	]	]	PUNCT
ejpam-4743	293	9	)	)	PUNCT
ejpam-4743	293	10	2	2	X
ejpam-4743	293	11	)	)	PUNCT
ejpam-4743	293	12	1	1	NUM
ejpam-4743	293	13	2	2	NUM
ejpam-4743	293	14	.	.	PUNCT
ejpam-4743	294	1	from	from	ADP
ejpam-4743	294	2	the	the	DET
ejpam-4743	294	3	last	last	ADJ
ejpam-4743	294	4	relation	relation	NOUN
ejpam-4743	294	5	,	,	PUNCT
ejpam-4743	294	6	it	it	PRON
ejpam-4743	294	7	is	be	AUX
ejpam-4743	294	8	clear	clear	ADJ
ejpam-4743	294	9	that	that	SCONJ
ejpam-4743	294	10	ut(x	ut(x	NOUN
ejpam-4743	294	11	,	,	PUNCT
ejpam-4743	294	12	y	y	PROPN
ejpam-4743	294	13	,	,	PUNCT
ejpam-4743	294	14	t	t	PROPN
ejpam-4743	294	15	)	)	PUNCT
ejpam-4743	294	16	,	,	PUNCT
ejpam-4743	294	17	utx(x	utx(x	PROPN
ejpam-4743	294	18	,	,	PUNCT
ejpam-4743	294	19	y	y	PROPN
ejpam-4743	294	20	,	,	PUNCT
ejpam-4743	294	21	t	t	PROPN
ejpam-4743	294	22	)	)	PUNCT
ejpam-4743	294	23	,	,	PUNCT
ejpam-4743	294	24	uty(x	uty(x	PROPN
ejpam-4743	294	25	,	,	PUNCT
ejpam-4743	294	26	y	y	PROPN
ejpam-4743	294	27	,	,	PUNCT
ejpam-4743	294	28	t	t	PROPN
ejpam-4743	294	29	)	)	PUNCT
ejpam-4743	294	30	,	,	PUNCT
ejpam-4743	294	31	utxx(x	utxx(x	PROPN
ejpam-4743	294	32	,	,	PUNCT
ejpam-4743	294	33	y	y	PROPN
ejpam-4743	294	34	,	,	PUNCT
ejpam-4743	294	35	t	t	PROPN
ejpam-4743	294	36	)	)	PUNCT
ejpam-4743	294	37	,	,	PUNCT
ejpam-4743	294	38	utyy(x	utyy(x	PROPN
ejpam-4743	294	39	,	,	PUNCT
ejpam-4743	294	40	y	y	PROPN
ejpam-4743	294	41	,	,	PUNCT
ejpam-4743	294	42	t	t	PROPN
ejpam-4743	294	43	)	)	PUNCT
ejpam-4743	294	44	are	be	AUX
ejpam-4743	294	45	continuous	continuous	ADJ
ejpam-4743	294	46	in	in	ADP
ejpam-4743	294	47	dt	dt	PROPN
ejpam-4743	294	48	.	.	PUNCT
ejpam-4743	295	1	references	reference	NOUN
ejpam-4743	295	2	684	684	NUM
ejpam-4743	295	3	now	now	ADV
ejpam-4743	295	4	,	,	PUNCT
ejpam-4743	295	5	from	from	ADP
ejpam-4743	295	6	(	(	PUNCT
ejpam-4743	295	7	13	13	NUM
ejpam-4743	295	8	)	)	PUNCT
ejpam-4743	295	9	it	it	PRON
ejpam-4743	295	10	is	be	AUX
ejpam-4743	295	11	easy	easy	ADJ
ejpam-4743	295	12	to	to	PART
ejpam-4743	295	13	see	see	VERB
ejpam-4743	295	14	that	that	SCONJ
ejpam-4743	295	15	{	{	PUNCT
ejpam-4743	295	16	∞∑	∞∑	NUM
ejpam-4743	295	17	n=1	n=1	ADP
ejpam-4743	295	18	∞∑	∞∑	NUM
ejpam-4743	296	1	k=1	k=1	X
ejpam-4743	297	1	(	(	PUNCT
ejpam-4743	297	2	µk	µk	INTJ
ejpam-4743	297	3	,	,	PUNCT
ejpam-4743	297	4	n	n	PRON
ejpam-4743	297	5	∥∥u′′k	∥∥u′′k	NUM
ejpam-4743	297	6	,	,	PUNCT
ejpam-4743	297	7	n(t)∥∥c[0,t	n(t)∥∥c[0,t	NOUN
ejpam-4743	297	8	]	]	PUNCT
ejpam-4743	297	9	)	)	PUNCT
ejpam-4743	297	10	2	2	X
ejpam-4743	297	11	}	}	SYM
ejpam-4743	297	12	1	1	NUM
ejpam-4743	297	13	2	2	NUM
ejpam-4743	297	14	≤	≤	NUM
ejpam-4743	297	15	2	2	NUM
ejpam-4743	297	16	α	α	NOUN
ejpam-4743	297	17	{	{	PUNCT
ejpam-4743	297	18	∞∑	∞∑	NUM
ejpam-4743	297	19	n=1	n=1	ADP
ejpam-4743	297	20	∞∑	∞∑	NUM
ejpam-4743	297	21	k=1	k=1	X
ejpam-4743	297	22	(	(	PUNCT
ejpam-4743	297	23	µ3k	µ3k	PROPN
ejpam-4743	297	24	,	,	PUNCT
ejpam-4743	297	25	n	n	X
ejpam-4743	297	26	∥∥u′k	∥∥u′k	ADJ
ejpam-4743	297	27	,	,	PUNCT
ejpam-4743	297	28	n(t)∥∥c[0,t	n(t)∥∥c[0,t	NOUN
ejpam-4743	297	29	]	]	PUNCT
ejpam-4743	297	30	)	)	PUNCT
ejpam-4743	297	31	2	2	X
ejpam-4743	297	32	}	}	SYM
ejpam-4743	297	33	1	1	NUM
ejpam-4743	297	34	2	2	NUM
ejpam-4743	297	35	+	+	CCONJ
ejpam-4743	297	36	+	+	ADJ
ejpam-4743	297	37	β	β	X
ejpam-4743	297	38	{	{	PUNCT
ejpam-4743	297	39	∞∑	∞∑	NUM
ejpam-4743	297	40	n=1	n=1	ADP
ejpam-4743	297	41	∞∑	∞∑	NUM
ejpam-4743	297	42	k=1	k=1	X
ejpam-4743	297	43	(	(	PUNCT
ejpam-4743	297	44	µ3k	µ3k	PROPN
ejpam-4743	297	45	,	,	PUNCT
ejpam-4743	297	46	n∥u	n∥u	PROPN
ejpam-4743	297	47	k	k	NOUN
ejpam-4743	297	48	,	,	PUNCT
ejpam-4743	297	49	n(t)∥c[0,t	n(t)∥c[0,t	NOUN
ejpam-4743	297	50	]	]	PUNCT
ejpam-4743	297	51	)	)	PUNCT
ejpam-4743	297	52	2	2	X
ejpam-4743	297	53	}	}	SYM
ejpam-4743	297	54	1	1	NUM
ejpam-4743	297	55	2	2	NUM
ejpam-4743	297	56	+	+	CCONJ
ejpam-4743	297	57	∥∥∥∥fx(x	∥∥∥∥fx(x	PROPN
ejpam-4743	297	58	,	,	PUNCT
ejpam-4743	297	59	y	y	PROPN
ejpam-4743	297	60	,	,	PUNCT
ejpam-4743	297	61	t	t	PROPN
ejpam-4743	297	62	)	)	PUNCT
ejpam-4743	297	63	+	+	NUM
ejpam-4743	297	64	fy(x	fy(x	NOUN
ejpam-4743	297	65	,	,	PUNCT
ejpam-4743	297	66	y	y	PROPN
ejpam-4743	297	67	,	,	PUNCT
ejpam-4743	297	68	t)∥c[0,t	t)∥c[0,t	PROPN
ejpam-4743	297	69	]	]	PUNCT
ejpam-4743	297	70	∥∥∥	∥∥∥	PROPN
ejpam-4743	297	71	l2(qxy	l2(qxy	NUM
ejpam-4743	297	72	)	)	PUNCT
ejpam-4743	297	73	+	+	CCONJ
ejpam-4743	298	1	+	+	CCONJ
ejpam-4743	298	2	∥∥∥∥a(t	∥∥∥∥a(t	NOUN
ejpam-4743	298	3	)	)	PUNCT
ejpam-4743	298	4	(	(	PUNCT
ejpam-4743	298	5	ux(x	ux(x	X
ejpam-4743	298	6	,	,	PUNCT
ejpam-4743	298	7	y	y	PROPN
ejpam-4743	298	8	,	,	PUNCT
ejpam-4743	298	9	t	t	PROPN
ejpam-4743	298	10	)	)	PUNCT
ejpam-4743	298	11	+	+	CCONJ
ejpam-4743	298	12	uy(x	uy(x	X
ejpam-4743	298	13	,	,	PUNCT
ejpam-4743	298	14	y	y	NOUN
ejpam-4743	298	15	,	,	PUNCT
ejpam-4743	298	16	t))∥c[0,t	t))∥c[0,t	NOUN
ejpam-4743	298	17	]	]	PUNCT
ejpam-4743	298	18	∥∥∥	∥∥∥	PROPN
ejpam-4743	298	19	l2(qxy	l2(qxy	NUM
ejpam-4743	298	20	)	)	PUNCT
ejpam-4743	298	21	]	]	PUNCT
ejpam-4743	298	22	.	.	PUNCT
ejpam-4743	299	1	it	it	PRON
ejpam-4743	299	2	is	be	AUX
ejpam-4743	299	3	easy	easy	ADJ
ejpam-4743	299	4	to	to	PART
ejpam-4743	299	5	verify	verify	VERB
ejpam-4743	299	6	that	that	SCONJ
ejpam-4743	299	7	utt(x	utt(x	PROPN
ejpam-4743	299	8	,	,	PUNCT
ejpam-4743	299	9	y	y	PROPN
ejpam-4743	299	10	,	,	PUNCT
ejpam-4743	299	11	t	t	PROPN
ejpam-4743	299	12	)	)	PUNCT
ejpam-4743	299	13	is	be	AUX
ejpam-4743	299	14	continuous	continuous	ADJ
ejpam-4743	299	15	in	in	ADP
ejpam-4743	299	16	dt	dt	PROPN
ejpam-4743	299	17	.	.	PUNCT
ejpam-4743	300	1	obvious	obvious	ADJ
ejpam-4743	300	2	that	that	SCONJ
ejpam-4743	300	3	equation	equation	NOUN
ejpam-4743	300	4	(	(	PUNCT
ejpam-4743	300	5	1	1	NUM
ejpam-4743	300	6	)	)	PUNCT
ejpam-4743	300	7	and	and	CCONJ
ejpam-4743	300	8	conditions	condition	NOUN
ejpam-4743	300	9	(	(	PUNCT
ejpam-4743	300	10	2)–(4	2)–(4	NUM
ejpam-4743	300	11	)	)	PUNCT
ejpam-4743	300	12	,	,	PUNCT
ejpam-4743	300	13	(	(	PUNCT
ejpam-4743	300	14	7	7	X
ejpam-4743	300	15	)	)	PUNCT
ejpam-4743	300	16	are	be	AUX
ejpam-4743	300	17	satisfied	satisfied	ADJ
ejpam-4743	300	18	in	in	ADP
ejpam-4743	300	19	the	the	DET
ejpam-4743	300	20	usual	usual	ADJ
ejpam-4743	300	21	sense	sense	NOUN
ejpam-4743	300	22	.	.	PUNCT
ejpam-4743	301	1	thus	thus	ADV
ejpam-4743	301	2	,	,	PUNCT
ejpam-4743	301	3	the	the	DET
ejpam-4743	301	4	solution	solution	NOUN
ejpam-4743	301	5	to	to	ADP
ejpam-4743	301	6	problem	problem	NOUN
ejpam-4743	301	7	(	(	PUNCT
ejpam-4743	301	8	1)-(4	1)-(4	NUM
ejpam-4743	301	9	)	)	PUNCT
ejpam-4743	301	10	,	,	PUNCT
ejpam-4743	301	11	(	(	PUNCT
ejpam-4743	301	12	7	7	X
ejpam-4743	301	13	)	)	PUNCT
ejpam-4743	301	14	is	be	AUX
ejpam-4743	301	15	a	a	DET
ejpam-4743	301	16	triple	triple	NOUN
ejpam-4743	301	17	of	of	ADP
ejpam-4743	301	18	functions	function	NOUN
ejpam-4743	301	19	{	{	PUNCT
ejpam-4743	301	20	u(x	u(x	PROPN
ejpam-4743	301	21	,	,	PUNCT
ejpam-4743	301	22	t	t	PROPN
ejpam-4743	301	23	)	)	PUNCT
ejpam-4743	301	24	,	,	PUNCT
ejpam-4743	301	25	a(t	a(t	NOUN
ejpam-4743	301	26	)	)	PUNCT
ejpam-4743	301	27	}	}	PUNCT
ejpam-4743	301	28	and	and	CCONJ
ejpam-4743	301	29	by	by	ADP
ejpam-4743	301	30	the	the	DET
ejpam-4743	301	31	corollary	corollary	NOUN
ejpam-4743	301	32	of	of	ADP
ejpam-4743	301	33	lemma	lemma	PROPN
ejpam-4743	301	34	1	1	NUM
ejpam-4743	301	35	,	,	PUNCT
ejpam-4743	301	36	it	it	PRON
ejpam-4743	301	37	is	be	AUX
ejpam-4743	301	38	unique	unique	ADJ
ejpam-4743	301	39	in	in	ADP
ejpam-4743	301	40	the	the	DET
ejpam-4743	301	41	ball	ball	NOUN
ejpam-4743	301	42	k	k	PROPN
ejpam-4743	301	43	=	=	PUNCT
ejpam-4743	301	44	kr	kr	PROPN
ejpam-4743	301	45	.	.	PUNCT
ejpam-4743	302	1	using	use	VERB
ejpam-4743	302	2	theorems	theorem	NOUN
ejpam-4743	302	3	1	1	NUM
ejpam-4743	302	4	and	and	CCONJ
ejpam-4743	302	5	2	2	NUM
ejpam-4743	302	6	,	,	PUNCT
ejpam-4743	302	7	we	we	PRON
ejpam-4743	302	8	obtain	obtain	VERB
ejpam-4743	302	9	the	the	DET
ejpam-4743	302	10	unique	unique	ADJ
ejpam-4743	302	11	solvability	solvability	NOUN
ejpam-4743	302	12	of	of	ADP
ejpam-4743	302	13	problem	problem	NOUN
ejpam-4743	302	14	(	(	PUNCT
ejpam-4743	302	15	1)–(5	1)–(5	NUM
ejpam-4743	302	16	)	)	PUNCT
ejpam-4743	302	17	.	.	PUNCT
ejpam-4743	303	1	theorem	theorem	NOUN
ejpam-4743	303	2	3	3	X
ejpam-4743	303	3	.	.	PUNCT
ejpam-4743	304	1	let	let	VERB
ejpam-4743	304	2	all	all	DET
ejpam-4743	304	3	the	the	DET
ejpam-4743	304	4	conditions	condition	NOUN
ejpam-4743	304	5	of	of	ADP
ejpam-4743	304	6	theorem	theorem	NOUN
ejpam-4743	304	7	2	2	NUM
ejpam-4743	304	8	and	and	CCONJ
ejpam-4743	304	9	the	the	DET
ejpam-4743	304	10	consistency	consistency	NOUN
ejpam-4743	304	11	condition	condition	NOUN
ejpam-4743	304	12	(	(	PUNCT
ejpam-4743	304	13	6	6	NUM
ejpam-4743	304	14	)	)	PUNCT
ejpam-4743	304	15	be	be	AUX
ejpam-4743	304	16	satisfied	satisfied	ADJ
ejpam-4743	304	17	.	.	PUNCT
ejpam-4743	305	1	then	then	ADV
ejpam-4743	305	2	problem	problem	NOUN
ejpam-4743	305	3	(	(	PUNCT
ejpam-4743	305	4	1)-(5	1)-(5	NUM
ejpam-4743	305	5	)	)	PUNCT
ejpam-4743	305	6	has	have	VERB
ejpam-4743	305	7	in	in	ADP
ejpam-4743	305	8	the	the	DET
ejpam-4743	305	9	ball	ball	NOUN
ejpam-4743	305	10	k	k	PROPN
ejpam-4743	305	11	=	=	SYM
ejpam-4743	305	12	kr(∥z∥e3	kr(∥z∥e3	PROPN
ejpam-4743	305	13	t	t	NOUN
ejpam-4743	305	14	≤	≤	NOUN
ejpam-4743	305	15	r	r	NOUN
ejpam-4743	305	16	=	=	SYM
ejpam-4743	305	17	a(t	a(t	NOUN
ejpam-4743	305	18	)	)	PUNCT
ejpam-4743	306	1	+	+	CCONJ
ejpam-4743	306	2	2	2	X
ejpam-4743	306	3	)	)	PUNCT
ejpam-4743	306	4	of	of	ADP
ejpam-4743	306	5	the	the	DET
ejpam-4743	306	6	spaces	space	NOUN
ejpam-4743	306	7	e3	e3	VERB
ejpam-4743	306	8	t	t	NOUN
ejpam-4743	306	9	a	a	DET
ejpam-4743	306	10	unique	unique	ADJ
ejpam-4743	306	11	classical	classical	ADJ
ejpam-4743	306	12	solution	solution	NOUN
ejpam-4743	306	13	.	.	PUNCT
ejpam-4743	307	1	references	reference	NOUN
ejpam-4743	307	2	[	[	X
ejpam-4743	307	3	1	1	X
ejpam-4743	307	4	]	]	PUNCT
ejpam-4743	307	5	a	a	DET
ejpam-4743	307	6	r	r	NOUN
ejpam-4743	307	7	asanov	asanov	NOUN
ejpam-4743	307	8	.	.	PUNCT
ejpam-4743	308	1	inverse	inverse	NOUN
ejpam-4743	308	2	problems	problem	NOUN
ejpam-4743	308	3	for	for	ADP
ejpam-4743	308	4	pseudohyperbolic	pseudohyperbolic	ADJ
ejpam-4743	308	5	equations	equation	NOUN
ejpam-4743	308	6	.	.	PUNCT
ejpam-4743	309	1	phd	phd	NOUN
ejpam-4743	309	2	thesis	thesis	PROPN
ejpam-4743	309	3	,	,	PUNCT
ejpam-4743	309	4	institute	institute	NOUN
ejpam-4743	309	5	of	of	ADP
ejpam-4743	309	6	mathematics	mathematics	PROPN
ejpam-4743	309	7	of	of	ADP
ejpam-4743	309	8	academy	academy	PROPN
ejpam-4743	309	9	of	of	ADP
ejpam-4743	309	10	sciences	sciences	PROPN
ejpam-4743	309	11	of	of	ADP
ejpam-4743	309	12	the	the	DET
ejpam-4743	309	13	kyrgyz	kyrgyz	PROPN
ejpam-4743	309	14	republic	republic	PROPN
ejpam-4743	309	15	,	,	PUNCT
ejpam-4743	309	16	1994	1994	NUM
ejpam-4743	309	17	.	.	PUNCT
ejpam-4743	310	1	[	[	X
ejpam-4743	310	2	2	2	NUM
ejpam-4743	310	3	]	]	PUNCT
ejpam-4743	310	4	e	e	NOUN
ejpam-4743	310	5	azizbayov	azizbayov	PROPN
ejpam-4743	310	6	and	and	CCONJ
ejpam-4743	310	7	ymehraliyev	ymehraliyev	NOUN
ejpam-4743	310	8	.	.	PUNCT
ejpam-4743	311	1	inverse	inverse	PROPN
ejpam-4743	311	2	problem	problem	NOUN
ejpam-4743	311	3	for	for	ADP
ejpam-4743	311	4	a	a	DET
ejpam-4743	311	5	parabolic	parabolic	ADJ
ejpam-4743	311	6	equation	equation	NOUN
ejpam-4743	311	7	in	in	ADP
ejpam-4743	311	8	a	a	DET
ejpam-4743	311	9	rectangle	rectangle	NOUN
ejpam-4743	311	10	domain	domain	NOUN
ejpam-4743	311	11	with	with	ADP
ejpam-4743	311	12	integral	integral	ADJ
ejpam-4743	311	13	conditions	condition	NOUN
ejpam-4743	311	14	.	.	PUNCT
ejpam-4743	312	1	european	european	ADJ
ejpam-4743	312	2	journal	journal	PROPN
ejpam-4743	312	3	of	of	ADP
ejpam-4743	312	4	pure	pure	ADJ
ejpam-4743	312	5	and	and	CCONJ
ejpam-4743	312	6	applied	applied	ADJ
ejpam-4743	312	7	mathematics	mathematic	NOUN
ejpam-4743	312	8	,	,	PUNCT
ejpam-4743	312	9	10:981–994	10:981–994	NUM
ejpam-4743	312	10	,	,	PUNCT
ejpam-4743	312	11	2017	2017	NUM
ejpam-4743	312	12	.	.	PUNCT
ejpam-4743	313	1	[	[	X
ejpam-4743	313	2	3	3	NUM
ejpam-4743	313	3	]	]	X
ejpam-4743	313	4	e	e	NOUN
ejpam-4743	314	1	i	i	PRON
ejpam-4743	314	2	azizbayov	azizbayov	VERB
ejpam-4743	314	3	and	and	CCONJ
ejpam-4743	314	4	y	y	PROPN
ejpam-4743	314	5	t	t	PROPN
ejpam-4743	314	6	mehraliyev	mehraliyev	PROPN
ejpam-4743	314	7	.	.	PUNCT
ejpam-4743	315	1	solvability	solvability	NOUN
ejpam-4743	315	2	of	of	ADP
ejpam-4743	315	3	nonlocal	nonlocal	ADJ
ejpam-4743	315	4	inverse	inverse	NOUN
ejpam-4743	315	5	boundary	boundary	ADJ
ejpam-4743	315	6	-	-	PUNCT
ejpam-4743	315	7	value	value	NOUN
ejpam-4743	315	8	problem	problem	NOUN
ejpam-4743	315	9	for	for	ADP
ejpam-4743	315	10	a	a	DET
ejpam-4743	315	11	second	second	ADJ
ejpam-4743	315	12	-	-	PUNCT
ejpam-4743	315	13	order	order	NOUN
ejpam-4743	315	14	parabolic	parabolic	ADJ
ejpam-4743	315	15	equation	equation	NOUN
ejpam-4743	315	16	with	with	ADP
ejpam-4743	315	17	integral	integral	ADJ
ejpam-4743	315	18	conditions	condition	NOUN
ejpam-4743	315	19	.	.	PUNCT
ejpam-4743	316	1	electronic	electronic	ADJ
ejpam-4743	316	2	journal	journal	NOUN
ejpam-4743	316	3	of	of	ADP
ejpam-4743	316	4	differential	differential	ADJ
ejpam-4743	316	5	equations	equation	NOUN
ejpam-4743	316	6	,	,	PUNCT
ejpam-4743	316	7	2017:1–14	2017:1–14	NUM
ejpam-4743	316	8	,	,	PUNCT
ejpam-4743	316	9	2017	2017	NUM
ejpam-4743	316	10	.	.	PUNCT
ejpam-4743	317	1	[	[	X
ejpam-4743	317	2	4	4	NUM
ejpam-4743	317	3	]	]	X
ejpam-4743	317	4	e	e	NOUN
ejpam-4743	318	1	i	i	PRON
ejpam-4743	318	2	azizbayov	azizbayov	VERB
ejpam-4743	318	3	and	and	CCONJ
ejpam-4743	318	4	y	y	PROPN
ejpam-4743	318	5	t	t	PROPN
ejpam-4743	318	6	mehraliyev	mehraliyev	PROPN
ejpam-4743	318	7	.	.	PUNCT
ejpam-4743	319	1	inverse	inverse	ADJ
ejpam-4743	319	2	boundary	boundary	ADJ
ejpam-4743	319	3	-	-	PUNCT
ejpam-4743	319	4	value	value	NOUN
ejpam-4743	319	5	problem	problem	NOUN
ejpam-4743	319	6	for	for	ADP
ejpam-4743	319	7	the	the	DET
ejpam-4743	319	8	equation	equation	NOUN
ejpam-4743	319	9	of	of	ADP
ejpam-4743	319	10	longitudinal	longitudinal	ADJ
ejpam-4743	319	11	wave	wave	NOUN
ejpam-4743	319	12	propagation	propagation	NOUN
ejpam-4743	319	13	with	with	ADP
ejpam-4743	319	14	non	non	ADJ
ejpam-4743	319	15	-	-	ADJ
ejpam-4743	319	16	self	self	NOUN
ejpam-4743	319	17	-	-	PUNCT
ejpam-4743	319	18	adjoint	adjoint	NOUN
ejpam-4743	319	19	boundary	boundary	ADJ
ejpam-4743	319	20	conditions	condition	NOUN
ejpam-4743	319	21	.	.	PUNCT
ejpam-4743	320	1	filomat	filomat	NOUN
ejpam-4743	320	2	,	,	PUNCT
ejpam-4743	320	3	33:5259–5271	33:5259–5271	NUM
ejpam-4743	320	4	,	,	PUNCT
ejpam-4743	320	5	2019	2019	NUM
ejpam-4743	320	6	.	.	PUNCT
ejpam-4743	321	1	[	[	X
ejpam-4743	321	2	5	5	NUM
ejpam-4743	321	3	]	]	PUNCT
ejpam-4743	321	4	a	a	DET
ejpam-4743	321	5	m	m	NOUN
ejpam-4743	321	6	denisov	denisov	NOUN
ejpam-4743	321	7	.	.	PUNCT
ejpam-4743	322	1	elements	element	NOUN
ejpam-4743	322	2	of	of	ADP
ejpam-4743	322	3	the	the	DET
ejpam-4743	322	4	theory	theory	NOUN
ejpam-4743	322	5	of	of	ADP
ejpam-4743	322	6	inverse	inverse	NOUN
ejpam-4743	322	7	problems	problem	NOUN
ejpam-4743	322	8	.	.	PUNCT
ejpam-4743	323	1	de	de	ADP
ejpam-4743	323	2	gruyter	gruyter	NOUN
ejpam-4743	323	3	,	,	PUNCT
ejpam-4743	323	4	berlin	berlin	PROPN
ejpam-4743	323	5	,	,	PUNCT
ejpam-4743	323	6	germany	germany	PROPN
ejpam-4743	323	7	,	,	PUNCT
ejpam-4743	323	8	1999	1999	NUM
ejpam-4743	323	9	.	.	PUNCT
ejpam-4743	324	1	[	[	X
ejpam-4743	324	2	6	6	NUM
ejpam-4743	324	3	]	]	SYM
ejpam-4743	324	4	v	v	NUM
ejpam-4743	324	5	m	m	PROPN
ejpam-4743	324	6	isakov	isakov	PROPN
ejpam-4743	324	7	.	.	PUNCT
ejpam-4743	325	1	on	on	ADP
ejpam-4743	325	2	the	the	DET
ejpam-4743	325	3	uniqueness	uniqueness	NOUN
ejpam-4743	325	4	of	of	ADP
ejpam-4743	325	5	the	the	DET
ejpam-4743	325	6	solution	solution	NOUN
ejpam-4743	325	7	of	of	ADP
ejpam-4743	325	8	some	some	DET
ejpam-4743	325	9	inverse	inverse	ADJ
ejpam-4743	325	10	hyperbolic	hyperbolic	ADJ
ejpam-4743	325	11	problems	problem	NOUN
ejpam-4743	325	12	.	.	PUNCT
ejpam-4743	326	1	differential	differential	ADJ
ejpam-4743	326	2	equations	equation	NOUN
ejpam-4743	326	3	,	,	PUNCT
ejpam-4743	326	4	10:165–167	10:165–167	NUM
ejpam-4743	326	5	,	,	PUNCT
ejpam-4743	326	6	1974	1974	NUM
ejpam-4743	326	7	.	.	PUNCT
ejpam-4743	327	1	references	reference	NOUN
ejpam-4743	327	2	685	685	NUM
ejpam-4743	327	3	[	[	X
ejpam-4743	327	4	7	7	NUM
ejpam-4743	327	5	]	]	X
ejpam-4743	327	6	m	m	VERB
ejpam-4743	327	7	i	i	PRON
ejpam-4743	327	8	ismailov	ismailov	VERB
ejpam-4743	327	9	,	,	PUNCT
ejpam-4743	327	10	s	s	VERB
ejpam-4743	327	11	erkovan	erkovan	NOUN
ejpam-4743	327	12	,	,	PUNCT
ejpam-4743	327	13	and	and	CCONJ
ejpam-4743	327	14	a	a	DET
ejpam-4743	327	15	a	a	DET
ejpam-4743	327	16	huseynova	huseynova	NOUN
ejpam-4743	327	17	.	.	PUNCT
ejpam-4743	328	1	fourier	fourier	PROPN
ejpam-4743	328	2	series	series	PROPN
ejpam-4743	328	3	analysis	analysis	NOUN
ejpam-4743	328	4	of	of	ADP
ejpam-4743	328	5	a	a	DET
ejpam-4743	328	6	timedependent	timedependent	NOUN
ejpam-4743	328	7	perfusion	perfusion	NOUN
ejpam-4743	328	8	coefficient	coefficient	NOUN
ejpam-4743	328	9	determination	determination	NOUN
ejpam-4743	328	10	in	in	ADP
ejpam-4743	328	11	a	a	DET
ejpam-4743	328	12	2d	2d	NUM
ejpam-4743	328	13	bioheat	bioheat	NOUN
ejpam-4743	328	14	transfer	transfer	NOUN
ejpam-4743	328	15	process	process	NOUN
ejpam-4743	328	16	.	.	PUNCT
ejpam-4743	329	1	trans	trans	PROPN
ejpam-4743	329	2	natl	natl	PROPN
ejpam-4743	329	3	acad	acad	PROPN
ejpam-4743	329	4	sci	sci	PROPN
ejpam-4743	329	5	azerb	azerb	PROPN
ejpam-4743	329	6	ser	ser	PROPN
ejpam-4743	329	7	phys	phys	PROPN
ejpam-4743	329	8	tech	tech	PROPN
ejpam-4743	329	9	math	math	PROPN
ejpam-4743	329	10	sci	sci	PROPN
ejpam-4743	329	11	,	,	PUNCT
ejpam-4743	329	12	38:70–78	38:70–78	PROPN
ejpam-4743	329	13	,	,	PUNCT
ejpam-4743	329	14	2018	2018	NUM
ejpam-4743	329	15	.	.	PUNCT
ejpam-4743	330	1	[	[	X
ejpam-4743	330	2	8	8	NUM
ejpam-4743	330	3	]	]	X
ejpam-4743	330	4	m	m	VERB
ejpam-4743	330	5	i	i	PRON
ejpam-4743	330	6	ivanchov	ivanchov	ADJ
ejpam-4743	330	7	.	.	PUNCT
ejpam-4743	331	1	inverse	inverse	ADJ
ejpam-4743	331	2	problem	problem	NOUN
ejpam-4743	331	3	for	for	ADP
ejpam-4743	331	4	equations	equation	NOUN
ejpam-4743	331	5	of	of	ADP
ejpam-4743	331	6	parabolic	parabolic	ADJ
ejpam-4743	331	7	type	type	NOUN
ejpam-4743	331	8	.	.	PUNCT
ejpam-4743	332	1	vntl	vntl	NOUN
ejpam-4743	332	2	publishers	publisher	NOUN
ejpam-4743	332	3	,	,	PUNCT
ejpam-4743	332	4	lviv	lviv	NOUN
ejpam-4743	332	5	,	,	PUNCT
ejpam-4743	332	6	ukraine	ukraine	NOUN
ejpam-4743	332	7	,	,	PUNCT
ejpam-4743	332	8	2003	2003	NUM
ejpam-4743	332	9	.	.	PUNCT
ejpam-4743	333	1	[	[	X
ejpam-4743	333	2	9	9	NUM
ejpam-4743	333	3	]	]	SYM
ejpam-4743	333	4	m	m	VERB
ejpam-4743	333	5	i	i	PRON
ejpam-4743	333	6	ivanchov	ivanchov	NOUN
ejpam-4743	333	7	and	and	CCONJ
ejpam-4743	333	8	n	n	PRON
ejpam-4743	333	9	v	v	NOUN
ejpam-4743	333	10	pabyrivska	pabyrivska	NOUN
ejpam-4743	333	11	.	.	PUNCT
ejpam-4743	334	1	on	on	ADP
ejpam-4743	334	2	determination	determination	NOUN
ejpam-4743	334	3	of	of	ADP
ejpam-4743	334	4	two	two	NUM
ejpam-4743	334	5	time	time	NOUN
ejpam-4743	334	6	-	-	PUNCT
ejpam-4743	334	7	dependent	dependent	ADJ
ejpam-4743	334	8	coefficients	coefficient	NOUN
ejpam-4743	334	9	in	in	ADP
ejpam-4743	334	10	a	a	DET
ejpam-4743	334	11	parabolic	parabolic	ADJ
ejpam-4743	334	12	equation	equation	NOUN
ejpam-4743	334	13	.	.	PUNCT
ejpam-4743	335	1	siberian	siberian	ADJ
ejpam-4743	335	2	mathematical	mathematical	ADJ
ejpam-4743	335	3	journal	journal	NOUN
ejpam-4743	335	4	,	,	PUNCT
ejpam-4743	335	5	43:323–329	43:323–329	PROPN
ejpam-4743	335	6	,	,	PUNCT
ejpam-4743	335	7	2002	2002	NUM
ejpam-4743	335	8	.	.	PUNCT
ejpam-4743	336	1	[	[	X
ejpam-4743	336	2	10	10	NUM
ejpam-4743	336	3	]	]	SYM
ejpam-4743	336	4	v	v	PROPN
ejpam-4743	336	5	k	k	PROPN
ejpam-4743	336	6	ivanov	ivanov	PROPN
ejpam-4743	336	7	.	.	PUNCT
ejpam-4743	337	1	on	on	ADP
ejpam-4743	337	2	linear	linear	PROPN
ejpam-4743	337	3	ill	ill	ADV
ejpam-4743	337	4	-	-	PUNCT
ejpam-4743	337	5	posed	pose	VERB
ejpam-4743	337	6	problems	problem	NOUN
ejpam-4743	337	7	.	.	PUNCT
ejpam-4743	338	1	doklady	doklady	PROPN
ejpam-4743	338	2	akademii	akademii	NOUN
ejpam-4743	338	3	nauk	nauk	NOUN
ejpam-4743	338	4	sssr	sssr	NOUN
ejpam-4743	338	5	,	,	PUNCT
ejpam-4743	338	6	145:270	145:270	NUM
ejpam-4743	338	7	–	–	PUNCT
ejpam-4743	338	8	272	272	NUM
ejpam-4743	338	9	,	,	PUNCT
ejpam-4743	338	10	1962	1962	NUM
ejpam-4743	338	11	.	.	PUNCT
ejpam-4743	339	1	[	[	X
ejpam-4743	339	2	11	11	NUM
ejpam-4743	339	3	]	]	SYM
ejpam-4743	339	4	s	s	X
ejpam-4743	339	5	i	i	PROPN
ejpam-4743	339	6	kabanikhin	kabanikhin	PROPN
ejpam-4743	339	7	.	.	PUNCT
ejpam-4743	340	1	inverse	inverse	NOUN
ejpam-4743	340	2	and	and	CCONJ
ejpam-4743	340	3	ill	ill	ADV
ejpam-4743	340	4	-	-	PUNCT
ejpam-4743	340	5	posed	pose	VERB
ejpam-4743	340	6	problems	problem	NOUN
ejpam-4743	340	7	.	.	PUNCT
ejpam-4743	341	1	siberian	siberian	ADJ
ejpam-4743	341	2	book	book	NOUN
ejpam-4743	341	3	publishing	publishing	PROPN
ejpam-4743	341	4	house	house	PROPN
ejpam-4743	341	5	,	,	PUNCT
ejpam-4743	341	6	novosibirsk	novosibirsk	PROPN
ejpam-4743	341	7	,	,	PUNCT
ejpam-4743	341	8	russia	russia	PROPN
ejpam-4743	341	9	,	,	PUNCT
ejpam-4743	341	10	2009	2009	NUM
ejpam-4743	341	11	.	.	PUNCT
ejpam-4743	342	1	[	[	X
ejpam-4743	342	2	12	12	NUM
ejpam-4743	342	3	]	]	X
ejpam-4743	342	4	k	k	NOUN
ejpam-4743	342	5	i	i	PRON
ejpam-4743	342	6	khudaverdiev	khudaverdiev	VERB
ejpam-4743	342	7	and	and	CCONJ
ejpam-4743	342	8	a	a	DET
ejpam-4743	342	9	a	a	DET
ejpam-4743	342	10	veliyev	veliyev	NOUN
ejpam-4743	342	11	.	.	PUNCT
ejpam-4743	343	1	study	study	NOUN
ejpam-4743	343	2	of	of	ADP
ejpam-4743	343	3	a	a	DET
ejpam-4743	343	4	one	one	NUM
ejpam-4743	343	5	-	-	PUNCT
ejpam-4743	343	6	dimensional	dimensional	ADJ
ejpam-4743	343	7	mixed	mixed	ADJ
ejpam-4743	343	8	problem	problem	NOUN
ejpam-4743	343	9	for	for	ADP
ejpam-4743	343	10	a	a	DET
ejpam-4743	343	11	class	class	NOUN
ejpam-4743	343	12	of	of	ADP
ejpam-4743	343	13	third	third	ADJ
ejpam-4743	343	14	-	-	PUNCT
ejpam-4743	343	15	order	order	NOUN
ejpam-4743	343	16	pseudohyperbolic	pseudohyperbolic	ADJ
ejpam-4743	343	17	equations	equation	NOUN
ejpam-4743	343	18	with	with	ADP
ejpam-4743	343	19	a	a	DET
ejpam-4743	343	20	nonlinear	nonlinear	ADJ
ejpam-4743	343	21	operator	operator	NOUN
ejpam-4743	343	22	righthand	righthand	NOUN
ejpam-4743	343	23	side	side	NOUN
ejpam-4743	343	24	.	.	PUNCT
ejpam-4743	344	1	chashyoglu	chashyoglu	PROPN
ejpam-4743	344	2	,	,	PUNCT
ejpam-4743	344	3	baku	baku	PROPN
ejpam-4743	344	4	,	,	PUNCT
ejpam-4743	344	5	azerbaijan	azerbaijan	PROPN
ejpam-4743	344	6	,	,	PUNCT
ejpam-4743	344	7	2010	2010	NUM
ejpam-4743	344	8	.	.	PUNCT
ejpam-4743	345	1	[	[	X
ejpam-4743	345	2	13	13	NUM
ejpam-4743	345	3	]	]	SYM
ejpam-4743	345	4	a	a	DET
ejpam-4743	345	5	i	i	PROPN
ejpam-4743	345	6	kozhanov	kozhanov	PROPN
ejpam-4743	345	7	.	.	PUNCT
ejpam-4743	346	1	composite	composite	ADJ
ejpam-4743	346	2	type	type	NOUN
ejpam-4743	346	3	equations	equation	NOUN
ejpam-4743	346	4	and	and	CCONJ
ejpam-4743	346	5	inverse	inverse	NOUN
ejpam-4743	346	6	problems	problem	NOUN
ejpam-4743	346	7	.	.	PUNCT
ejpam-4743	347	1	de	de	ADP
ejpam-4743	347	2	gruyter	gruyter	NOUN
ejpam-4743	347	3	,	,	PUNCT
ejpam-4743	347	4	berlin	berlin	PROPN
ejpam-4743	347	5	,	,	PUNCT
ejpam-4743	347	6	germany	germany	PROPN
ejpam-4743	347	7	,	,	PUNCT
ejpam-4743	347	8	1999	1999	NUM
ejpam-4743	347	9	.	.	PUNCT
ejpam-4743	348	1	[	[	X
ejpam-4743	348	2	14	14	NUM
ejpam-4743	348	3	]	]	X
ejpam-4743	348	4	a	a	DET
ejpam-4743	348	5	i	i	NOUN
ejpam-4743	348	6	kozhanov	kozhanov	NOUN
ejpam-4743	349	1	and	and	CCONJ
ejpam-4743	349	2	r	r	NOUN
ejpam-4743	349	3	r	r	NOUN
ejpam-4743	349	4	safiullova	safiullova	PROPN
ejpam-4743	349	5	.	.	PUNCT
ejpam-4743	350	1	on	on	ADP
ejpam-4743	350	2	a	a	DET
ejpam-4743	350	3	class	class	NOUN
ejpam-4743	350	4	of	of	ADP
ejpam-4743	350	5	pseudohyperbolic	pseudohyperbolic	ADJ
ejpam-4743	350	6	equations	equation	NOUN
ejpam-4743	350	7	with	with	ADP
ejpam-4743	350	8	an	an	DET
ejpam-4743	350	9	unknown	unknown	ADJ
ejpam-4743	350	10	coefficient	coefficient	NOUN
ejpam-4743	350	11	.	.	PUNCT
ejpam-4743	351	1	chelyab	chelyab	PROPN
ejpam-4743	351	2	.	.	PUNCT
ejpam-4743	352	1	fiz.-mat	fiz.-mat	INTJ
ejpam-4743	352	2	.	.	PUNCT
ejpam-4743	353	1	zh	zh	PROPN
ejpam-4743	353	2	.	.	PROPN
ejpam-4743	353	3	,	,	PUNCT
ejpam-4743	353	4	7:164–180	7:164–180	PROPN
ejpam-4743	353	5	,	,	PUNCT
ejpam-4743	353	6	2022	2022	NUM
ejpam-4743	353	7	.	.	PUNCT
ejpam-4743	354	1	[	[	X
ejpam-4743	354	2	15	15	NUM
ejpam-4743	354	3	]	]	X
ejpam-4743	354	4	a	a	PRON
ejpam-4743	354	5	k	k	PROPN
ejpam-4743	354	6	kurmanbaeva	kurmanbaeva	PROPN
ejpam-4743	354	7	.	.	PUNCT
ejpam-4743	354	8	linear	linear	ADJ
ejpam-4743	354	9	inverse	inverse	NOUN
ejpam-4743	354	10	problems	problem	NOUN
ejpam-4743	354	11	for	for	ADP
ejpam-4743	354	12	pseudohyperbolic	pseudohyperbolic	ADJ
ejpam-4743	354	13	equations	equation	NOUN
ejpam-4743	354	14	.	.	PUNCT
ejpam-4743	355	1	education	education	NOUN
ejpam-4743	355	2	resources	resource	NOUN
ejpam-4743	355	3	and	and	CCONJ
ejpam-4743	355	4	technologies	technology	NOUN
ejpam-4743	355	5	,	,	PUNCT
ejpam-4743	355	6	page	page	NOUN
ejpam-4743	355	7	343–351	343–351	NUM
ejpam-4743	355	8	,	,	PUNCT
ejpam-4743	355	9	2016	2016	NUM
ejpam-4743	355	10	.	.	PUNCT
ejpam-4743	356	1	[	[	X
ejpam-4743	356	2	16	16	NUM
ejpam-4743	356	3	]	]	X
ejpam-4743	356	4	m	m	VERB
ejpam-4743	356	5	m	m	VERB
ejpam-4743	356	6	lavrent’ev	lavrent’ev	X
ejpam-4743	356	7	,	,	PUNCT
ejpam-4743	356	8	v	v	ADP
ejpam-4743	356	9	g	g	PROPN
ejpam-4743	356	10	romanov	romanov	PROPN
ejpam-4743	356	11	,	,	PUNCT
ejpam-4743	356	12	and	and	CCONJ
ejpam-4743	356	13	v	v	ADP
ejpam-4743	356	14	g	g	PROPN
ejpam-4743	356	15	vasil’ev	vasil’ev	NOUN
ejpam-4743	356	16	.	.	PUNCT
ejpam-4743	357	1	multidimensional	multidimensional	ADJ
ejpam-4743	357	2	inverse	inverse	NOUN
ejpam-4743	357	3	problems	problem	NOUN
ejpam-4743	357	4	for	for	ADP
ejpam-4743	357	5	differential	differential	ADJ
ejpam-4743	357	6	equations	equation	NOUN
ejpam-4743	357	7	.	.	PUNCT
ejpam-4743	358	1	nauka	nauka	PROPN
ejpam-4743	358	2	,	,	PUNCT
ejpam-4743	358	3	moscow	moscow	PROPN
ejpam-4743	358	4	,	,	PUNCT
ejpam-4743	358	5	russia	russia	PROPN
ejpam-4743	358	6	,	,	PUNCT
ejpam-4743	358	7	1969	1969	NUM
ejpam-4743	358	8	.	.	PUNCT
ejpam-4743	359	1	[	[	X
ejpam-4743	359	2	17	17	NUM
ejpam-4743	359	3	]	]	X
ejpam-4743	359	4	k	k	PROPN
ejpam-4743	359	5	longren	longren	PROPN
ejpam-4743	359	6	and	and	CCONJ
ejpam-4743	359	7	e	e	PROPN
ejpam-4743	359	8	scott	scott	PROPN
ejpam-4743	359	9	.	.	PUNCT
ejpam-4743	360	1	solitons	soliton	NOUN
ejpam-4743	360	2	in	in	ADP
ejpam-4743	360	3	action	action	NOUN
ejpam-4743	360	4	.	.	PUNCT
ejpam-4743	361	1	mir	mir	PROPN
ejpam-4743	361	2	,	,	PUNCT
ejpam-4743	361	3	moscow	moscow	PROPN
ejpam-4743	361	4	,	,	PUNCT
ejpam-4743	361	5	russia	russia	PROPN
ejpam-4743	361	6	,	,	PUNCT
ejpam-4743	361	7	1981	1981	NUM
ejpam-4743	361	8	.	.	PUNCT
ejpam-4743	362	1	[	[	X
ejpam-4743	362	2	18	18	NUM
ejpam-4743	362	3	]	]	X
ejpam-4743	362	4	a	a	DET
ejpam-4743	362	5	lorenzi	lorenzi	ADJ
ejpam-4743	362	6	and	and	CCONJ
ejpam-4743	362	7	e	e	NOUN
ejpam-4743	362	8	paparoni	paparoni	NOUN
ejpam-4743	362	9	.	.	PUNCT
ejpam-4743	363	1	identification	identification	NOUN
ejpam-4743	363	2	problems	problem	NOUN
ejpam-4743	363	3	for	for	ADP
ejpam-4743	363	4	pseudohyperbolic	pseudohyperbolic	ADJ
ejpam-4743	363	5	integrodifferential	integrodifferential	ADJ
ejpam-4743	363	6	operetor	operetor	NOUN
ejpam-4743	363	7	equation	equation	NOUN
ejpam-4743	363	8	.	.	PUNCT
ejpam-4743	364	1	journal	journal	PROPN
ejpam-4743	364	2	of	of	ADP
ejpam-4743	364	3	inverse	inverse	NOUN
ejpam-4743	364	4	and	and	CCONJ
ejpam-4743	364	5	ill	ill	ADV
ejpam-4743	364	6	-	-	PUNCT
ejpam-4743	364	7	posed	pose	VERB
ejpam-4743	364	8	problems	problem	NOUN
ejpam-4743	364	9	,	,	PUNCT
ejpam-4743	364	10	5:523–548	5:523–548	NOUN
ejpam-4743	364	11	,	,	PUNCT
ejpam-4743	364	12	1993	1993	NUM
ejpam-4743	364	13	.	.	PUNCT
ejpam-4743	365	1	[	[	X
ejpam-4743	365	2	19	19	NUM
ejpam-4743	365	3	]	]	PUNCT
ejpam-4743	365	4	ya	ya	PROPN
ejpam-4743	365	5	t	t	PROPN
ejpam-4743	365	6	megraliev	megraliev	PROPN
ejpam-4743	365	7	.	.	PUNCT
ejpam-4743	366	1	on	on	ADP
ejpam-4743	366	2	the	the	DET
ejpam-4743	366	3	solvability	solvability	NOUN
ejpam-4743	366	4	of	of	ADP
ejpam-4743	366	5	an	an	DET
ejpam-4743	366	6	inverse	inverse	NOUN
ejpam-4743	366	7	boundary	boundary	NOUN
ejpam-4743	366	8	value	value	NOUN
ejpam-4743	366	9	problem	problem	NOUN
ejpam-4743	366	10	for	for	ADP
ejpam-4743	366	11	a	a	DET
ejpam-4743	366	12	fourth	fourth	ADJ
ejpam-4743	366	13	order	order	NOUN
ejpam-4743	366	14	pseudohyperbolic	pseudohyperbolic	ADJ
ejpam-4743	366	15	equation	equation	NOUN
ejpam-4743	366	16	with	with	ADP
ejpam-4743	366	17	an	an	DET
ejpam-4743	366	18	additional	additional	ADJ
ejpam-4743	366	19	integral	integral	ADJ
ejpam-4743	366	20	condition	condition	NOUN
ejpam-4743	366	21	.	.	PUNCT
ejpam-4743	367	1	news	news	NOUN
ejpam-4743	367	2	of	of	ADP
ejpam-4743	367	3	higher	high	ADJ
ejpam-4743	367	4	educational	educational	ADJ
ejpam-4743	367	5	institutions	institution	NOUN
ejpam-4743	367	6	volga	volga	PROPN
ejpam-4743	367	7	region	region	NOUN
ejpam-4743	367	8	,	,	PUNCT
ejpam-4743	367	9	-:19–33	-:19–33	PROPN
ejpam-4743	367	10	,	,	PUNCT
ejpam-4743	367	11	2013	2013	NUM
ejpam-4743	367	12	.	.	PUNCT
ejpam-4743	368	1	[	[	X
ejpam-4743	368	2	20	20	NUM
ejpam-4743	368	3	]	]	X
ejpam-4743	368	4	y	y	PROPN
ejpam-4743	368	5	t	t	PROPN
ejpam-4743	368	6	mehraliyev	mehraliyev	PROPN
ejpam-4743	368	7	and	and	CCONJ
ejpam-4743	368	8	g	g	PROPN
ejpam-4743	368	9	kh	kh	PROPN
ejpam-4743	368	10	shafiyeva	shafiyeva	PROPN
ejpam-4743	368	11	.	.	PUNCT
ejpam-4743	369	1	determination	determination	NOUN
ejpam-4743	369	2	of	of	ADP
ejpam-4743	369	3	an	an	DET
ejpam-4743	369	4	unknown	unknown	ADJ
ejpam-4743	369	5	coefficient	coefficient	NOUN
ejpam-4743	369	6	in	in	ADP
ejpam-4743	369	7	the	the	DET
ejpam-4743	369	8	third	third	ADJ
ejpam-4743	369	9	order	order	NOUN
ejpam-4743	369	10	pseudoparabolic	pseudoparabolic	ADJ
ejpam-4743	369	11	equation	equation	NOUN
ejpam-4743	369	12	with	with	ADP
ejpam-4743	369	13	non	non	ADJ
ejpam-4743	369	14	-	-	ADJ
ejpam-4743	369	15	self	self	NOUN
ejpam-4743	369	16	-	-	PUNCT
ejpam-4743	369	17	adjoint	adjoint	NOUN
ejpam-4743	369	18	boundary	boundary	ADJ
ejpam-4743	369	19	conditions	condition	NOUN
ejpam-4743	369	20	.	.	PUNCT
ejpam-4743	370	1	journal	journal	NOUN
ejpam-4743	370	2	of	of	ADP
ejpam-4743	370	3	applied	apply	VERB
ejpam-4743	370	4	mathematics	mathematic	NOUN
ejpam-4743	370	5	,	,	PUNCT
ejpam-4743	370	6	2014:1–7	2014:1–7	PROPN
ejpam-4743	370	7	,	,	PUNCT
ejpam-4743	370	8	2014	2014	NUM
ejpam-4743	370	9	.	.	PUNCT
ejpam-4743	371	1	[	[	X
ejpam-4743	371	2	21	21	NUM
ejpam-4743	371	3	]	]	SYM
ejpam-4743	371	4	v	v	ADP
ejpam-4743	371	5	g	g	PROPN
ejpam-4743	371	6	romanov	romanov	PROPN
ejpam-4743	371	7	.	.	PUNCT
ejpam-4743	372	1	inverse	inverse	NOUN
ejpam-4743	372	2	problems	problem	NOUN
ejpam-4743	372	3	of	of	ADP
ejpam-4743	372	4	mathematical	mathematical	ADJ
ejpam-4743	372	5	physics	physics	NOUN
ejpam-4743	372	6	.	.	PUNCT
ejpam-4743	373	1	de	de	X
ejpam-4743	373	2	gruyter	gruyter	PROPN
ejpam-4743	373	3	,	,	PUNCT
ejpam-4743	373	4	berlin	berlin	PROPN
ejpam-4743	373	5	,	,	PUNCT
ejpam-4743	373	6	germany	germany	PROPN
ejpam-4743	373	7	,	,	PUNCT
ejpam-4743	373	8	1986	1986	NUM
ejpam-4743	373	9	.	.	PUNCT
ejpam-4743	374	1	references	reference	NOUN
ejpam-4743	374	2	686	686	NUM
ejpam-4743	374	3	[	[	X
ejpam-4743	374	4	22	22	NUM
ejpam-4743	374	5	]	]	PUNCT
ejpam-4743	374	6	a	a	DET
ejpam-4743	374	7	n	n	PRON
ejpam-4743	374	8	tikhonov	tikhonov	NOUN
ejpam-4743	374	9	.	.	PUNCT
ejpam-4743	375	1	on	on	ADP
ejpam-4743	375	2	stability	stability	NOUN
ejpam-4743	375	3	of	of	ADP
ejpam-4743	375	4	inverse	inverse	NOUN
ejpam-4743	375	5	problems	problem	NOUN
ejpam-4743	375	6	.	.	PUNCT
ejpam-4743	376	1	doklady	doklady	PROPN
ejpam-4743	376	2	akademii	akademii	NOUN
ejpam-4743	376	3	nauk	nauk	NOUN
ejpam-4743	376	4	sssr	sssr	NOUN
ejpam-4743	376	5	,	,	PUNCT
ejpam-4743	376	6	39:195–198	39:195–198	NUM
ejpam-4743	376	7	,	,	PUNCT
ejpam-4743	376	8	1943	1943	NUM
ejpam-4743	376	9	.	.	PUNCT
ejpam-4743	377	1	[	[	X
ejpam-4743	377	2	23	23	NUM
ejpam-4743	377	3	]	]	X
ejpam-4743	377	4	s	s	PROPN
ejpam-4743	377	5	c	c	PROPN
ejpam-4743	377	6	voight	voight	PROPN
ejpam-4743	377	7	.	.	PUNCT
ejpam-4743	378	1	propagation	propagation	NOUN
ejpam-4743	378	2	of	of	ADP
ejpam-4743	378	3	initial	initial	ADJ
ejpam-4743	378	4	densifications	densification	NOUN
ejpam-4743	378	5	in	in	ADP
ejpam-4743	378	6	a	a	DET
ejpam-4743	378	7	viscous	viscous	ADJ
ejpam-4743	378	8	gas	gas	NOUN
ejpam-4743	378	9	.	.	PUNCT
ejpam-4743	379	1	uchenye	uchenye	PROPN
ejpam-4743	379	2	zapiski	zapiski	PROPN
ejpam-4743	379	3	mgu	mgu	PROPN
ejpam-4743	379	4	,	,	PUNCT
ejpam-4743	379	5	4:125–142	4:125–142	PROPN
ejpam-4743	379	6	,	,	PUNCT
ejpam-4743	379	7	1954	1954	NUM
ejpam-4743	379	8	.	.	PUNCT