id	sid	tid	token	lemma	pos
ejpam-3069	1	1	european	european	PROPN
ejpam-3069	1	2	journal	journal	PROPN
ejpam-3069	1	3	of	of	ADP
ejpam-3069	1	4	pure	pure	ADJ
ejpam-3069	1	5	and	and	CCONJ
ejpam-3069	1	6	applied	apply	VERB
ejpam-3069	1	7	mathematics	mathematic	NOUN
ejpam-3069	1	8	vol	vol	NOUN
ejpam-3069	1	9	.	.	PROPN
ejpam-3069	2	1	10	10	NUM
ejpam-3069	2	2	,	,	PUNCT
ejpam-3069	2	3	no	no	INTJ
ejpam-3069	2	4	.	.	NOUN
ejpam-3069	2	5	5	5	NUM
ejpam-3069	2	6	,	,	PUNCT
ejpam-3069	2	7	2017	2017	NUM
ejpam-3069	2	8	,	,	PUNCT
ejpam-3069	2	9	981	981	NUM
ejpam-3069	2	10	-	-	SYM
ejpam-3069	2	11	994	994	NUM
ejpam-3069	2	12	issn	issn	PROPN
ejpam-3069	2	13	1307	1307	NUM
ejpam-3069	2	14	-	-	SYM
ejpam-3069	2	15	5543	5543	NUM
ejpam-3069	2	16	–	–	PUNCT
ejpam-3069	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3069	2	18	published	publish	VERB
ejpam-3069	2	19	by	by	ADP
ejpam-3069	2	20	new	new	PROPN
ejpam-3069	2	21	york	york	PROPN
ejpam-3069	2	22	business	business	PROPN
ejpam-3069	2	23	global	global	ADJ
ejpam-3069	2	24	inverse	inverse	NOUN
ejpam-3069	2	25	problem	problem	NOUN
ejpam-3069	2	26	for	for	ADP
ejpam-3069	2	27	a	a	DET
ejpam-3069	2	28	parabolic	parabolic	ADJ
ejpam-3069	2	29	equation	equation	NOUN
ejpam-3069	2	30	in	in	ADP
ejpam-3069	2	31	a	a	DET
ejpam-3069	2	32	rectangle	rectangle	NOUN
ejpam-3069	2	33	domain	domain	NOUN
ejpam-3069	2	34	with	with	ADP
ejpam-3069	2	35	integral	integral	ADJ
ejpam-3069	2	36	conditions	condition	NOUN
ejpam-3069	2	37	elvin	elvin	PROPN
ejpam-3069	2	38	azizbayov1,∗	azizbayov1,∗	PROPN
ejpam-3069	2	39	,	,	PUNCT
ejpam-3069	2	40	yashar	yashar	NOUN
ejpam-3069	2	41	mehraliyev2	mehraliyev2	NOUN
ejpam-3069	2	42	1	1	NUM
ejpam-3069	2	43	department	department	NOUN
ejpam-3069	2	44	of	of	ADP
ejpam-3069	2	45	computational	computational	ADJ
ejpam-3069	2	46	mathematics	mathematic	NOUN
ejpam-3069	2	47	,	,	PUNCT
ejpam-3069	2	48	mechanics	mechanic	NOUN
ejpam-3069	2	49	and	and	CCONJ
ejpam-3069	2	50	mathematics	mathematic	NOUN
ejpam-3069	2	51	faculty	faculty	NOUN
ejpam-3069	2	52	,	,	PUNCT
ejpam-3069	2	53	baku	baku	PROPN
ejpam-3069	2	54	state	state	PROPN
ejpam-3069	2	55	university	university	PROPN
ejpam-3069	2	56	,	,	PUNCT
ejpam-3069	2	57	baku	baku	PROPN
ejpam-3069	2	58	,	,	PUNCT
ejpam-3069	2	59	azerbaijan	azerbaijan	PROPN
ejpam-3069	2	60	2	2	NUM
ejpam-3069	2	61	department	department	NOUN
ejpam-3069	2	62	of	of	ADP
ejpam-3069	2	63	differential	differential	ADJ
ejpam-3069	2	64	and	and	CCONJ
ejpam-3069	2	65	integral	integral	ADJ
ejpam-3069	2	66	equations	equation	NOUN
ejpam-3069	2	67	,	,	PUNCT
ejpam-3069	2	68	mechanics	mechanic	NOUN
ejpam-3069	2	69	and	and	CCONJ
ejpam-3069	2	70	mathematics	mathematic	NOUN
ejpam-3069	2	71	faculty	faculty	NOUN
ejpam-3069	2	72	,	,	PUNCT
ejpam-3069	2	73	baku	baku	PROPN
ejpam-3069	2	74	state	state	PROPN
ejpam-3069	2	75	university	university	PROPN
ejpam-3069	2	76	,	,	PUNCT
ejpam-3069	2	77	baku	baku	PROPN
ejpam-3069	2	78	,	,	PUNCT
ejpam-3069	2	79	azerbaijan	azerbaijan	PROPN
ejpam-3069	2	80	abstract	abstract	NOUN
ejpam-3069	2	81	.	.	PUNCT
ejpam-3069	3	1	this	this	DET
ejpam-3069	3	2	paper	paper	NOUN
ejpam-3069	3	3	is	be	AUX
ejpam-3069	3	4	devoted	devote	VERB
ejpam-3069	3	5	to	to	PART
ejpam-3069	3	6	study	study	VERB
ejpam-3069	3	7	of	of	ADP
ejpam-3069	3	8	the	the	DET
ejpam-3069	3	9	nonlocal	nonlocal	ADJ
ejpam-3069	3	10	inverse	inverse	NOUN
ejpam-3069	3	11	boundary	boundary	ADJ
ejpam-3069	3	12	-	-	PUNCT
ejpam-3069	3	13	value	value	NOUN
ejpam-3069	3	14	problem	problem	NOUN
ejpam-3069	3	15	for	for	ADP
ejpam-3069	3	16	a	a	DET
ejpam-3069	3	17	second	second	ADJ
ejpam-3069	3	18	-	-	PUNCT
ejpam-3069	3	19	order	order	NOUN
ejpam-3069	3	20	parabolic	parabolic	ADJ
ejpam-3069	3	21	equation	equation	NOUN
ejpam-3069	3	22	.	.	PUNCT
ejpam-3069	4	1	the	the	DET
ejpam-3069	4	2	problem	problem	NOUN
ejpam-3069	4	3	is	be	AUX
ejpam-3069	4	4	considered	consider	VERB
ejpam-3069	4	5	in	in	ADP
ejpam-3069	4	6	the	the	DET
ejpam-3069	4	7	rectangular	rectangular	ADJ
ejpam-3069	4	8	domain	domain	NOUN
ejpam-3069	4	9	.	.	PUNCT
ejpam-3069	5	1	first	first	ADV
ejpam-3069	5	2	,	,	PUNCT
ejpam-3069	5	3	we	we	PRON
ejpam-3069	5	4	introduce	introduce	VERB
ejpam-3069	5	5	a	a	DET
ejpam-3069	5	6	definition	definition	NOUN
ejpam-3069	5	7	of	of	ADP
ejpam-3069	5	8	a	a	DET
ejpam-3069	5	9	classical	classical	ADJ
ejpam-3069	5	10	solution	solution	NOUN
ejpam-3069	5	11	of	of	ADP
ejpam-3069	5	12	the	the	DET
ejpam-3069	5	13	stated	state	VERB
ejpam-3069	5	14	problem	problem	NOUN
ejpam-3069	5	15	.	.	PUNCT
ejpam-3069	6	1	then	then	ADV
ejpam-3069	6	2	,	,	PUNCT
ejpam-3069	6	3	the	the	DET
ejpam-3069	6	4	initial	initial	ADJ
ejpam-3069	6	5	problem	problem	NOUN
ejpam-3069	6	6	is	be	AUX
ejpam-3069	6	7	reduced	reduce	VERB
ejpam-3069	6	8	to	to	ADP
ejpam-3069	6	9	an	an	DET
ejpam-3069	6	10	equivalent	equivalent	ADJ
ejpam-3069	6	11	problem	problem	NOUN
ejpam-3069	6	12	,	,	PUNCT
ejpam-3069	6	13	for	for	ADP
ejpam-3069	6	14	which	which	PRON
ejpam-3069	6	15	using	use	VERB
ejpam-3069	6	16	the	the	DET
ejpam-3069	6	17	method	method	NOUN
ejpam-3069	6	18	of	of	ADP
ejpam-3069	6	19	contraction	contraction	NOUN
ejpam-3069	6	20	mappings	mapping	NOUN
ejpam-3069	6	21	principle	principle	VERB
ejpam-3069	6	22	the	the	DET
ejpam-3069	6	23	theorem	theorem	NOUN
ejpam-3069	6	24	of	of	ADP
ejpam-3069	6	25	the	the	DET
ejpam-3069	6	26	existence	existence	NOUN
ejpam-3069	6	27	and	and	CCONJ
ejpam-3069	6	28	uniqueness	uniqueness	NOUN
ejpam-3069	6	29	of	of	ADP
ejpam-3069	6	30	solutions	solution	NOUN
ejpam-3069	6	31	is	be	AUX
ejpam-3069	6	32	proved	prove	VERB
ejpam-3069	6	33	.	.	PUNCT
ejpam-3069	7	1	moreover	moreover	ADV
ejpam-3069	7	2	,	,	PUNCT
ejpam-3069	7	3	using	use	VERB
ejpam-3069	7	4	the	the	DET
ejpam-3069	7	5	equivalency	equivalency	NOUN
ejpam-3069	7	6	,	,	PUNCT
ejpam-3069	7	7	we	we	PRON
ejpam-3069	7	8	prove	prove	VERB
ejpam-3069	7	9	the	the	DET
ejpam-3069	7	10	existence	existence	NOUN
ejpam-3069	7	11	and	and	CCONJ
ejpam-3069	7	12	uniqueness	uniqueness	NOUN
ejpam-3069	7	13	of	of	ADP
ejpam-3069	7	14	classical	classical	ADJ
ejpam-3069	7	15	solution	solution	NOUN
ejpam-3069	7	16	of	of	ADP
ejpam-3069	7	17	the	the	DET
ejpam-3069	7	18	original	original	ADJ
ejpam-3069	7	19	problem	problem	NOUN
ejpam-3069	7	20	.	.	PUNCT
ejpam-3069	8	1	2010	2010	NUM
ejpam-3069	8	2	mathematics	mathematic	NOUN
ejpam-3069	8	3	subject	subject	NOUN
ejpam-3069	8	4	classifications	classification	NOUN
ejpam-3069	8	5	:	:	PUNCT
ejpam-3069	8	6	35a02	35a02	NUM
ejpam-3069	8	7	,	,	PUNCT
ejpam-3069	8	8	35a09	35a09	NUM
ejpam-3069	8	9	,	,	PUNCT
ejpam-3069	8	10	35r30	35r30	NUM
ejpam-3069	8	11	,	,	PUNCT
ejpam-3069	8	12	35k10	35k10	NUM
ejpam-3069	8	13	.	.	PUNCT
ejpam-3069	9	1	key	key	ADJ
ejpam-3069	9	2	words	word	NOUN
ejpam-3069	9	3	and	and	CCONJ
ejpam-3069	9	4	phrases	phrase	NOUN
ejpam-3069	9	5	:	:	PUNCT
ejpam-3069	9	6	inverse	inverse	NOUN
ejpam-3069	9	7	value	value	NOUN
ejpam-3069	9	8	problem	problem	NOUN
ejpam-3069	9	9	,	,	PUNCT
ejpam-3069	9	10	parabolic	parabolic	ADJ
ejpam-3069	9	11	equation	equation	NOUN
ejpam-3069	9	12	,	,	PUNCT
ejpam-3069	9	13	classical	classical	ADJ
ejpam-3069	9	14	solution	solution	NOUN
ejpam-3069	9	15	,	,	PUNCT
ejpam-3069	9	16	integral	integral	ADJ
ejpam-3069	9	17	condition	condition	NOUN
ejpam-3069	9	18	.	.	PUNCT
ejpam-3069	10	1	1	1	X
ejpam-3069	10	2	.	.	X
ejpam-3069	10	3	introduction	introduction	NOUN
ejpam-3069	10	4	inverse	inverse	NOUN
ejpam-3069	10	5	problems	problem	NOUN
ejpam-3069	10	6	for	for	ADP
ejpam-3069	10	7	differential	differential	ADJ
ejpam-3069	10	8	equations	equation	NOUN
ejpam-3069	10	9	are	be	AUX
ejpam-3069	10	10	called	call	VERB
ejpam-3069	10	11	the	the	DET
ejpam-3069	10	12	problem	problem	NOUN
ejpam-3069	10	13	of	of	ADP
ejpam-3069	10	14	finding	find	VERB
ejpam-3069	10	15	the	the	DET
ejpam-3069	10	16	unknown	unknown	ADJ
ejpam-3069	10	17	coefficients	coefficient	NOUN
ejpam-3069	10	18	of	of	ADP
ejpam-3069	10	19	differential	differential	ADJ
ejpam-3069	10	20	equations	equation	NOUN
ejpam-3069	10	21	,	,	PUNCT
ejpam-3069	10	22	right	right	ADJ
ejpam-3069	10	23	-	-	PUNCT
ejpam-3069	10	24	hand	hand	NOUN
ejpam-3069	10	25	side	side	NOUN
ejpam-3069	10	26	,	,	PUNCT
ejpam-3069	10	27	boundary	boundary	ADJ
ejpam-3069	10	28	or	or	CCONJ
ejpam-3069	10	29	initial	initial	ADJ
ejpam-3069	10	30	conditions	condition	NOUN
ejpam-3069	10	31	,	,	PUNCT
ejpam-3069	10	32	the	the	DET
ejpam-3069	10	33	border	border	NOUN
ejpam-3069	10	34	of	of	ADP
ejpam-3069	10	35	domain	domain	NOUN
ejpam-3069	10	36	.	.	PUNCT
ejpam-3069	11	1	the	the	DET
ejpam-3069	11	2	unknown	unknown	ADJ
ejpam-3069	11	3	elements	element	NOUN
ejpam-3069	11	4	of	of	ADP
ejpam-3069	11	5	the	the	DET
ejpam-3069	11	6	initial	initial	ADJ
ejpam-3069	11	7	-	-	PUNCT
ejpam-3069	11	8	boundary	boundary	NOUN
ejpam-3069	11	9	value	value	NOUN
ejpam-3069	11	10	problems	problem	NOUN
ejpam-3069	11	11	defined	define	VERB
ejpam-3069	11	12	for	for	ADP
ejpam-3069	11	13	some	some	DET
ejpam-3069	11	14	additional	additional	ADJ
ejpam-3069	11	15	information	information	NOUN
ejpam-3069	11	16	about	about	ADP
ejpam-3069	11	17	solving	solve	VERB
ejpam-3069	11	18	equations	equation	NOUN
ejpam-3069	11	19	.	.	PUNCT
ejpam-3069	12	1	such	such	ADJ
ejpam-3069	12	2	information	information	NOUN
ejpam-3069	12	3	are	be	AUX
ejpam-3069	12	4	different	different	ADJ
ejpam-3069	12	5	kinds	kind	NOUN
ejpam-3069	12	6	of	of	ADP
ejpam-3069	12	7	overdetermination	overdetermination	NOUN
ejpam-3069	12	8	condition	condition	NOUN
ejpam-3069	13	1	[	[	X
ejpam-3069	13	2	3	3	NUM
ejpam-3069	13	3	]	]	PUNCT
ejpam-3069	13	4	,	,	PUNCT
ejpam-3069	13	5	[	[	X
ejpam-3069	13	6	9	9	NUM
ejpam-3069	13	7	]	]	PUNCT
ejpam-3069	13	8	,	,	PUNCT
ejpam-3069	13	9	[	[	X
ejpam-3069	13	10	14	14	NUM
ejpam-3069	13	11	]	]	PUNCT
ejpam-3069	13	12	,	,	PUNCT
ejpam-3069	13	13	[	[	X
ejpam-3069	13	14	16	16	NUM
ejpam-3069	13	15	]	]	PUNCT
ejpam-3069	13	16	.	.	PUNCT
ejpam-3069	14	1	inverse	inverse	NOUN
ejpam-3069	14	2	problems	problem	NOUN
ejpam-3069	14	3	for	for	ADP
ejpam-3069	14	4	differential	differential	ADJ
ejpam-3069	14	5	equations	equation	NOUN
ejpam-3069	14	6	of	of	ADP
ejpam-3069	14	7	mathematical	mathematical	ADJ
ejpam-3069	14	8	physics	physics	NOUN
ejpam-3069	14	9	are	be	AUX
ejpam-3069	14	10	now	now	ADV
ejpam-3069	14	11	playing	play	VERB
ejpam-3069	14	12	an	an	DET
ejpam-3069	14	13	important	important	ADJ
ejpam-3069	14	14	role	role	NOUN
ejpam-3069	14	15	in	in	ADP
ejpam-3069	14	16	the	the	DET
ejpam-3069	14	17	field	field	NOUN
ejpam-3069	14	18	of	of	ADP
ejpam-3069	14	19	natural	natural	ADJ
ejpam-3069	14	20	sciences	science	NOUN
ejpam-3069	14	21	and	and	CCONJ
ejpam-3069	14	22	their	their	PRON
ejpam-3069	14	23	applications	application	NOUN
ejpam-3069	14	24	[	[	X
ejpam-3069	14	25	1	1	NUM
ejpam-3069	14	26	]	]	PUNCT
ejpam-3069	14	27	,	,	PUNCT
ejpam-3069	14	28	[	[	X
ejpam-3069	14	29	6	6	NUM
ejpam-3069	14	30	]	]	PUNCT
ejpam-3069	14	31	,	,	PUNCT
ejpam-3069	14	32	[	[	X
ejpam-3069	14	33	7],[8	7],[8	NUM
ejpam-3069	14	34	]	]	PUNCT
ejpam-3069	14	35	,	,	PUNCT
ejpam-3069	14	36	[	[	X
ejpam-3069	14	37	18	18	NUM
ejpam-3069	14	38	]	]	PUNCT
ejpam-3069	14	39	.	.	PUNCT
ejpam-3069	15	1	coefficient	coefficient	ADJ
ejpam-3069	15	2	inverse	inverse	NOUN
ejpam-3069	15	3	problems	problem	NOUN
ejpam-3069	15	4	are	be	AUX
ejpam-3069	15	5	the	the	DET
ejpam-3069	15	6	problems	problem	NOUN
ejpam-3069	15	7	in	in	ADP
ejpam-3069	15	8	which	which	PRON
ejpam-3069	15	9	,	,	PUNCT
ejpam-3069	15	10	together	together	ADV
ejpam-3069	15	11	with	with	ADP
ejpam-3069	15	12	the	the	DET
ejpam-3069	15	13	solutions	solution	NOUN
ejpam-3069	15	14	of	of	ADP
ejpam-3069	15	15	differential	differential	ADJ
ejpam-3069	15	16	equations	equation	NOUN
ejpam-3069	15	17	is	be	AUX
ejpam-3069	15	18	unknown	unknown	ADJ
ejpam-3069	15	19	and	and	CCONJ
ejpam-3069	15	20	is	be	AUX
ejpam-3069	15	21	one	one	NUM
ejpam-3069	15	22	(	(	PUNCT
ejpam-3069	15	23	or	or	CCONJ
ejpam-3069	15	24	more	more	ADJ
ejpam-3069	15	25	)	)	PUNCT
ejpam-3069	15	26	of	of	ADP
ejpam-3069	15	27	its	its	PRON
ejpam-3069	15	28	coefficients	coefficient	NOUN
ejpam-3069	15	29	.	.	PUNCT
ejpam-3069	16	1	many	many	ADJ
ejpam-3069	16	2	important	important	ADJ
ejpam-3069	16	3	applied	applied	ADJ
ejpam-3069	16	4	problems	problem	NOUN
ejpam-3069	16	5	relating	relate	VERB
ejpam-3069	16	6	to	to	ADP
ejpam-3069	16	7	diffusion	diffusion	NOUN
ejpam-3069	16	8	processes	process	NOUN
ejpam-3069	16	9	,	,	PUNCT
ejpam-3069	16	10	electromagnetic	electromagnetic	ADJ
ejpam-3069	16	11	oscillations	oscillation	NOUN
ejpam-3069	16	12	,	,	PUNCT
ejpam-3069	16	13	elastic	elastic	ADJ
ejpam-3069	16	14	deformations	deformation	NOUN
ejpam-3069	16	15	,	,	PUNCT
ejpam-3069	16	16	geophysics	geophysic	NOUN
ejpam-3069	16	17	,	,	PUNCT
ejpam-3069	16	18	seismology	seismology	NOUN
ejpam-3069	16	19	,	,	PUNCT
ejpam-3069	16	20	and	and	CCONJ
ejpam-3069	16	21	computed	compute	VERB
ejpam-3069	16	22	tomography	tomography	NOUN
ejpam-3069	16	23	,	,	PUNCT
ejpam-3069	16	24	scattering	scatter	VERB
ejpam-3069	16	25	theory	theory	NOUN
ejpam-3069	16	26	,	,	PUNCT
ejpam-3069	16	27	acoustics	acoustic	NOUN
ejpam-3069	16	28	,	,	PUNCT
ejpam-3069	16	29	optics	optic	NOUN
ejpam-3069	16	30	,	,	PUNCT
ejpam-3069	16	31	theory	theory	NOUN
ejpam-3069	16	32	of	of	ADP
ejpam-3069	16	33	molecular	molecular	ADJ
ejpam-3069	16	34	oscillations	oscillation	NOUN
ejpam-3069	16	35	,	,	PUNCT
ejpam-3069	16	36	radiolocation	radiolocation	NOUN
ejpam-3069	16	37	,	,	PUNCT
ejpam-3069	16	38	gravity	gravity	NOUN
ejpam-3069	16	39	,	,	PUNCT
ejpam-3069	16	40	and	and	CCONJ
ejpam-3069	16	41	others	other	NOUN
ejpam-3069	16	42	,	,	PUNCT
ejpam-3069	16	43	lead	lead	VERB
ejpam-3069	16	44	to	to	ADP
ejpam-3069	16	45	the	the	DET
ejpam-3069	16	46	like	like	ADJ
ejpam-3069	16	47	inverse	inverse	NOUN
ejpam-3069	16	48	problems	problem	NOUN
ejpam-3069	16	49	[	[	X
ejpam-3069	16	50	2	2	NUM
ejpam-3069	16	51	]	]	PUNCT
ejpam-3069	16	52	,	,	PUNCT
ejpam-3069	16	53	[	[	X
ejpam-3069	16	54	5	5	NUM
ejpam-3069	16	55	]	]	PUNCT
ejpam-3069	16	56	,	,	PUNCT
ejpam-3069	16	57	[	[	X
ejpam-3069	16	58	11	11	NUM
ejpam-3069	16	59	]	]	PUNCT
ejpam-3069	16	60	,	,	PUNCT
ejpam-3069	16	61	[	[	X
ejpam-3069	16	62	4	4	NUM
ejpam-3069	16	63	]	]	PUNCT
ejpam-3069	16	64	,	,	PUNCT
ejpam-3069	17	1	[	[	X
ejpam-3069	17	2	15],[13	15],[13	NOUN
ejpam-3069	17	3	]	]	X
ejpam-3069	17	4	,	,	PUNCT
ejpam-3069	17	5	[	[	X
ejpam-3069	17	6	12	12	NUM
ejpam-3069	17	7	]	]	PUNCT
ejpam-3069	17	8	,	,	PUNCT
ejpam-3069	17	9	[	[	X
ejpam-3069	17	10	17	17	NUM
ejpam-3069	17	11	]	]	PUNCT
ejpam-3069	17	12	,	,	PUNCT
ejpam-3069	17	13	[	[	X
ejpam-3069	17	14	19	19	NUM
ejpam-3069	17	15	]	]	PUNCT
ejpam-3069	17	16	.	.	PUNCT
ejpam-3069	18	1	in	in	ADP
ejpam-3069	18	2	the	the	DET
ejpam-3069	18	3	submitted	submit	VERB
ejpam-3069	18	4	article	article	NOUN
ejpam-3069	18	5	the	the	DET
ejpam-3069	18	6	inverse	inverse	ADJ
ejpam-3069	18	7	boundary	boundary	ADJ
ejpam-3069	18	8	value	value	NOUN
ejpam-3069	18	9	problem	problem	NOUN
ejpam-3069	18	10	with	with	ADP
ejpam-3069	18	11	nonlocal	nonlocal	ADJ
ejpam-3069	18	12	conditions	condition	NOUN
ejpam-3069	18	13	for	for	ADP
ejpam-3069	18	14	second	second	ADJ
ejpam-3069	18	15	order	order	NOUN
ejpam-3069	18	16	parabolic	parabolic	ADJ
ejpam-3069	18	17	equation	equation	NOUN
ejpam-3069	18	18	is	be	AUX
ejpam-3069	18	19	studied	study	VERB
ejpam-3069	18	20	.	.	PUNCT
ejpam-3069	19	1	∗corresponding	∗corresponde	VERB
ejpam-3069	19	2	author	author	NOUN
ejpam-3069	19	3	.	.	PUNCT
ejpam-3069	20	1	email	email	NOUN
ejpam-3069	20	2	addresses	address	NOUN
ejpam-3069	20	3	:	:	PUNCT
ejpam-3069	20	4	eazizbayov@bsu.edu.az	eazizbayov@bsu.edu.az	X
ejpam-3069	20	5	(	(	PUNCT
ejpam-3069	20	6	e.	e.	PROPN
ejpam-3069	20	7	azizbayov	azizbayov	PROPN
ejpam-3069	20	8	)	)	PUNCT
ejpam-3069	20	9	,	,	PUNCT
ejpam-3069	20	10	yashar	yashar	PROPN
ejpam-3069	20	11	aze@mail.ru	aze@mail.ru	PROPN
ejpam-3069	20	12	(	(	PUNCT
ejpam-3069	20	13	y.	y.	PROPN
ejpam-3069	20	14	mehraliyev	mehraliyev	PROPN
ejpam-3069	20	15	)	)	PUNCT
ejpam-3069	20	16	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3069	21	1	981	981	NUM
ejpam-3069	21	2	c	c	X
ejpam-3069	21	3	©	©	PROPN
ejpam-3069	21	4	2017	2017	NUM
ejpam-3069	21	5	ejpam	ejpam	VERB
ejpam-3069	21	6	all	all	DET
ejpam-3069	21	7	rights	right	NOUN
ejpam-3069	21	8	reserved	reserve	VERB
ejpam-3069	21	9	.	.	PUNCT
ejpam-3069	22	1	e.	e.	PROPN
ejpam-3069	22	2	azizbayov	azizbayov	PROPN
ejpam-3069	22	3	,	,	PUNCT
ejpam-3069	22	4	y.	y.	PROPN
ejpam-3069	22	5	mehraliyev	mehraliyev	PROPN
ejpam-3069	22	6	/	/	SYM
ejpam-3069	22	7	eur	eur	PROPN
ejpam-3069	22	8	.	.	PUNCT
ejpam-3069	23	1	j.	j.	PROPN
ejpam-3069	23	2	pure	pure	PROPN
ejpam-3069	23	3	appl	appl	PROPN
ejpam-3069	23	4	.	.	PROPN
ejpam-3069	23	5	math	math	PROPN
ejpam-3069	23	6	,	,	PUNCT
ejpam-3069	23	7	10	10	NUM
ejpam-3069	23	8	(	(	PUNCT
ejpam-3069	23	9	5	5	NUM
ejpam-3069	23	10	)	)	PUNCT
ejpam-3069	23	11	(	(	PUNCT
ejpam-3069	23	12	2017	2017	NUM
ejpam-3069	23	13	)	)	PUNCT
ejpam-3069	23	14	,	,	PUNCT
ejpam-3069	23	15	981	981	NUM
ejpam-3069	23	16	-	-	SYM
ejpam-3069	23	17	994	994	NUM
ejpam-3069	23	18	982	982	NUM
ejpam-3069	23	19	2	2	NUM
ejpam-3069	23	20	.	.	PUNCT
ejpam-3069	23	21	problem	problem	NOUN
ejpam-3069	23	22	statement	statement	NOUN
ejpam-3069	23	23	denote	denote	VERB
ejpam-3069	23	24	by	by	ADP
ejpam-3069	23	25	qt	qt	NOUN
ejpam-3069	23	26	the	the	DET
ejpam-3069	23	27	domain	domain	NOUN
ejpam-3069	23	28	{	{	PUNCT
ejpam-3069	23	29	(	(	PUNCT
ejpam-3069	23	30	x	x	NOUN
ejpam-3069	23	31	,	,	PUNCT
ejpam-3069	23	32	t	t	PROPN
ejpam-3069	23	33	)	)	PUNCT
ejpam-3069	23	34	:	:	PUNCT
ejpam-3069	23	35	0	0	NUM
ejpam-3069	23	36	≤	≤	NUM
ejpam-3069	23	37	x	x	SYM
ejpam-3069	23	38	≤	≤	NUM
ejpam-3069	23	39	1	1	NUM
ejpam-3069	23	40	,	,	PUNCT
ejpam-3069	23	41	0	0	NUM
ejpam-3069	23	42	≤	≤	NUM
ejpam-3069	23	43	t	t	PROPN
ejpam-3069	23	44	≤	≤	X
ejpam-3069	23	45	t	t	PROPN
ejpam-3069	23	46	}	}	PUNCT
ejpam-3069	23	47	and	and	CCONJ
ejpam-3069	23	48	consider	consider	VERB
ejpam-3069	23	49	the	the	DET
ejpam-3069	23	50	equation	equation	NOUN
ejpam-3069	23	51	c(t)ut(x	c(t)ut(x	PROPN
ejpam-3069	23	52	,	,	PUNCT
ejpam-3069	23	53	t	t	PROPN
ejpam-3069	23	54	)	)	PUNCT
ejpam-3069	23	55	=	=	SYM
ejpam-3069	24	1	uxx(x	uxx(x	PROPN
ejpam-3069	24	2	,	,	PUNCT
ejpam-3069	24	3	t	t	PROPN
ejpam-3069	24	4	)	)	PUNCT
ejpam-3069	24	5	+	+	NUM
ejpam-3069	24	6	a(t)u(x	a(t)u(x	NOUN
ejpam-3069	24	7	,	,	PUNCT
ejpam-3069	24	8	t	t	PROPN
ejpam-3069	24	9	)	)	PUNCT
ejpam-3069	24	10	+	+	CCONJ
ejpam-3069	24	11	b(t)g(x	b(t)g(x	X
ejpam-3069	24	12	,	,	PUNCT
ejpam-3069	24	13	t	t	PROPN
ejpam-3069	24	14	)	)	PUNCT
ejpam-3069	25	1	+	+	CCONJ
ejpam-3069	25	2	f(x	f(x	PROPN
ejpam-3069	25	3	,	,	PUNCT
ejpam-3069	25	4	t	t	PROPN
ejpam-3069	25	5	)	)	PUNCT
ejpam-3069	25	6	,	,	PUNCT
ejpam-3069	25	7	(	(	PUNCT
ejpam-3069	25	8	x	x	X
ejpam-3069	25	9	,	,	PUNCT
ejpam-3069	25	10	t	t	PROPN
ejpam-3069	25	11	)	)	PUNCT
ejpam-3069	25	12	∈	∈	PROPN
ejpam-3069	25	13	qt	qt	NOUN
ejpam-3069	25	14	(	(	PUNCT
ejpam-3069	25	15	1	1	NUM
ejpam-3069	25	16	)	)	PUNCT
ejpam-3069	25	17	with	with	ADP
ejpam-3069	25	18	nonlocal	nonlocal	ADJ
ejpam-3069	25	19	initial	initial	ADJ
ejpam-3069	25	20	condition	condition	NOUN
ejpam-3069	25	21	u(x	u(x	NOUN
ejpam-3069	25	22	,	,	PUNCT
ejpam-3069	25	23	0	0	NUM
ejpam-3069	25	24	)	)	PUNCT
ejpam-3069	25	25	+	+	NUM
ejpam-3069	25	26	δu(x	δu(x	NOUN
ejpam-3069	25	27	,	,	PUNCT
ejpam-3069	25	28	t	t	NOUN
ejpam-3069	25	29	)	)	PUNCT
ejpam-3069	25	30	=	=	SYM
ejpam-3069	25	31	ϕ(x	ϕ(x	X
ejpam-3069	25	32	)	)	PUNCT
ejpam-3069	25	33	(	(	PUNCT
ejpam-3069	25	34	0	0	NUM
ejpam-3069	25	35	≤	≤	NUM
ejpam-3069	25	36	x	x	SYM
ejpam-3069	25	37	≤	≤	NUM
ejpam-3069	25	38	1	1	NUM
ejpam-3069	25	39	)	)	PUNCT
ejpam-3069	25	40	,	,	PUNCT
ejpam-3069	25	41	(	(	PUNCT
ejpam-3069	25	42	2	2	X
ejpam-3069	25	43	)	)	PUNCT
ejpam-3069	25	44	neumann	neumann	PROPN
ejpam-3069	25	45	boundary	boundary	PROPN
ejpam-3069	25	46	condition	condition	NOUN
ejpam-3069	25	47	ux(0	ux(0	PROPN
ejpam-3069	25	48	,	,	PUNCT
ejpam-3069	25	49	t	t	PROPN
ejpam-3069	25	50	)	)	PUNCT
ejpam-3069	26	1	=	=	SYM
ejpam-3069	26	2	0	0	PUNCT
ejpam-3069	27	1	(	(	PUNCT
ejpam-3069	27	2	0	0	NUM
ejpam-3069	27	3	≤	≤	PROPN
ejpam-3069	27	4	t	t	PROPN
ejpam-3069	27	5	≤	≤	PROPN
ejpam-3069	27	6	t	t	PROPN
ejpam-3069	27	7	)	)	PUNCT
ejpam-3069	27	8	,	,	PUNCT
ejpam-3069	27	9	(	(	PUNCT
ejpam-3069	27	10	3	3	X
ejpam-3069	27	11	)	)	PUNCT
ejpam-3069	27	12	nonlocal	nonlocal	ADJ
ejpam-3069	27	13	integral	integral	ADJ
ejpam-3069	27	14	condition	condition	NOUN
ejpam-3069	27	15	1∫	1∫	NUM
ejpam-3069	27	16	0	0	NUM
ejpam-3069	27	17	u(x	u(x	NOUN
ejpam-3069	27	18	,	,	PUNCT
ejpam-3069	27	19	t)dx	t)dx	PROPN
ejpam-3069	27	20	=	=	SYM
ejpam-3069	27	21	0	0	NUM
ejpam-3069	28	1	(	(	PUNCT
ejpam-3069	28	2	0	0	NUM
ejpam-3069	28	3	≤	≤	PROPN
ejpam-3069	28	4	t	t	PROPN
ejpam-3069	28	5	≤	≤	PROPN
ejpam-3069	28	6	t	t	PROPN
ejpam-3069	28	7	)	)	PUNCT
ejpam-3069	28	8	,	,	PUNCT
ejpam-3069	28	9	(	(	PUNCT
ejpam-3069	28	10	4	4	NUM
ejpam-3069	28	11	)	)	PUNCT
ejpam-3069	28	12	and	and	CCONJ
ejpam-3069	28	13	the	the	DET
ejpam-3069	28	14	additional	additional	ADJ
ejpam-3069	28	15	conditions	condition	NOUN
ejpam-3069	28	16	u(0	u(0	PROPN
ejpam-3069	28	17	,	,	PUNCT
ejpam-3069	28	18	t	t	PROPN
ejpam-3069	28	19	)	)	PUNCT
ejpam-3069	28	20	=	=	SYM
ejpam-3069	29	1	h1(t	h1(t	X
ejpam-3069	29	2	)	)	PUNCT
ejpam-3069	29	3	(	(	PUNCT
ejpam-3069	29	4	0	0	NUM
ejpam-3069	29	5	≤	≤	PROPN
ejpam-3069	29	6	t	t	PROPN
ejpam-3069	29	7	≤	≤	PROPN
ejpam-3069	29	8	t	t	PROPN
ejpam-3069	29	9	)	)	PUNCT
ejpam-3069	29	10	,	,	PUNCT
ejpam-3069	29	11	(	(	PUNCT
ejpam-3069	29	12	5	5	X
ejpam-3069	29	13	)	)	PUNCT
ejpam-3069	29	14	u(1	u(1	PROPN
ejpam-3069	29	15	,	,	PUNCT
ejpam-3069	29	16	t	t	PROPN
ejpam-3069	29	17	)	)	PUNCT
ejpam-3069	29	18	=	=	SYM
ejpam-3069	30	1	h2(t	h2(t	X
ejpam-3069	30	2	)	)	PUNCT
ejpam-3069	30	3	(	(	PUNCT
ejpam-3069	30	4	0	0	NUM
ejpam-3069	30	5	≤	≤	PROPN
ejpam-3069	30	6	t	t	PROPN
ejpam-3069	30	7	≤	≤	PROPN
ejpam-3069	30	8	t	t	PROPN
ejpam-3069	30	9	)	)	PUNCT
ejpam-3069	30	10	,	,	PUNCT
ejpam-3069	30	11	(	(	PUNCT
ejpam-3069	30	12	6	6	NUM
ejpam-3069	30	13	)	)	PUNCT
ejpam-3069	30	14	where	where	SCONJ
ejpam-3069	30	15	δ	δ	PROPN
ejpam-3069	30	16	≥	≥	AUX
ejpam-3069	30	17	0	0	NUM
ejpam-3069	30	18	is	be	AUX
ejpam-3069	30	19	a	a	DET
ejpam-3069	30	20	fixed	fixed	ADJ
ejpam-3069	30	21	number	number	NOUN
ejpam-3069	30	22	,	,	PUNCT
ejpam-3069	30	23	0	0	PUNCT
ejpam-3069	30	24	<	<	X
ejpam-3069	30	25	c(t	c(t	PROPN
ejpam-3069	30	26	)	)	PUNCT
ejpam-3069	30	27	,	,	PUNCT
ejpam-3069	30	28	g(x	g(x	PROPN
ejpam-3069	30	29	,	,	PUNCT
ejpam-3069	30	30	t	t	PROPN
ejpam-3069	30	31	)	)	PUNCT
ejpam-3069	30	32	,	,	PUNCT
ejpam-3069	30	33	f(x	f(x	PROPN
ejpam-3069	30	34	,	,	PUNCT
ejpam-3069	30	35	t	t	PROPN
ejpam-3069	30	36	)	)	PUNCT
ejpam-3069	30	37	,	,	PUNCT
ejpam-3069	30	38	0	0	NUM
ejpam-3069	30	39	≤	≤	NUM
ejpam-3069	30	40	p(t	p(t	NOUN
ejpam-3069	30	41	)	)	PUNCT
ejpam-3069	30	42	,	,	PUNCT
ejpam-3069	30	43	hi(t	hi(t	NOUN
ejpam-3069	30	44	)	)	PUNCT
ejpam-3069	30	45	(	(	PUNCT
ejpam-3069	30	46	i	i	NOUN
ejpam-3069	30	47	=	=	NOUN
ejpam-3069	30	48	1	1	NUM
ejpam-3069	30	49	,	,	PUNCT
ejpam-3069	30	50	2	2	NUM
ejpam-3069	30	51	)	)	PUNCT
ejpam-3069	30	52	are	be	AUX
ejpam-3069	30	53	given	give	VERB
ejpam-3069	30	54	functions	function	NOUN
ejpam-3069	30	55	,	,	PUNCT
ejpam-3069	30	56	u(x	u(x	PROPN
ejpam-3069	30	57	,	,	PUNCT
ejpam-3069	30	58	t	t	PROPN
ejpam-3069	30	59	)	)	PUNCT
ejpam-3069	30	60	,	,	PUNCT
ejpam-3069	30	61	a(t	a(t	NOUN
ejpam-3069	30	62	)	)	PUNCT
ejpam-3069	30	63	and	and	CCONJ
ejpam-3069	30	64	b(t	b(t	NOUN
ejpam-3069	30	65	)	)	PUNCT
ejpam-3069	30	66	are	be	AUX
ejpam-3069	30	67	unknown	unknown	ADJ
ejpam-3069	30	68	functions	function	NOUN
ejpam-3069	30	69	.	.	PUNCT
ejpam-3069	31	1	definition	definition	NOUN
ejpam-3069	31	2	1	1	NUM
ejpam-3069	31	3	.	.	PUNCT
ejpam-3069	32	1	the	the	DET
ejpam-3069	32	2	triple	triple	ADJ
ejpam-3069	32	3	{	{	PUNCT
ejpam-3069	32	4	u(x	u(x	PROPN
ejpam-3069	32	5	,	,	PUNCT
ejpam-3069	32	6	t	t	PROPN
ejpam-3069	32	7	)	)	PUNCT
ejpam-3069	32	8	,	,	PUNCT
ejpam-3069	32	9	a(t	a(t	NOUN
ejpam-3069	32	10	)	)	PUNCT
ejpam-3069	32	11	,	,	PUNCT
ejpam-3069	32	12	b(t	b(t	PROPN
ejpam-3069	32	13	)	)	PUNCT
ejpam-3069	32	14	}	}	PUNCT
ejpam-3069	32	15	is	be	AUX
ejpam-3069	32	16	said	say	VERB
ejpam-3069	32	17	to	to	PART
ejpam-3069	32	18	be	be	AUX
ejpam-3069	32	19	a	a	DET
ejpam-3069	32	20	classical	classical	ADJ
ejpam-3069	32	21	solution	solution	NOUN
ejpam-3069	32	22	of	of	ADP
ejpam-3069	32	23	problem	problem	NOUN
ejpam-3069	32	24	(	(	PUNCT
ejpam-3069	32	25	1)-(6	1)-(6	NUM
ejpam-3069	32	26	)	)	PUNCT
ejpam-3069	32	27	,	,	PUNCT
ejpam-3069	32	28	if	if	SCONJ
ejpam-3069	32	29	for	for	ADP
ejpam-3069	32	30	the	the	DET
ejpam-3069	32	31	functions	function	NOUN
ejpam-3069	32	32	u(x	u(x	NOUN
ejpam-3069	32	33	,	,	PUNCT
ejpam-3069	32	34	t	t	PROPN
ejpam-3069	32	35	)	)	PUNCT
ejpam-3069	32	36	,	,	PUNCT
ejpam-3069	32	37	a(t	a(t	NOUN
ejpam-3069	32	38	)	)	PUNCT
ejpam-3069	32	39	and	and	CCONJ
ejpam-3069	32	40	b(t	b(t	NOUN
ejpam-3069	32	41	)	)	PUNCT
ejpam-3069	32	42	satisfy	satisfy	VERB
ejpam-3069	32	43	the	the	DET
ejpam-3069	32	44	following	follow	VERB
ejpam-3069	32	45	conditions	condition	NOUN
ejpam-3069	32	46	:	:	PUNCT
ejpam-3069	32	47	(	(	PUNCT
ejpam-3069	32	48	i	i	NOUN
ejpam-3069	32	49	)	)	PUNCT
ejpam-3069	32	50	the	the	DET
ejpam-3069	32	51	function	function	NOUN
ejpam-3069	32	52	u(x	u(x	NOUN
ejpam-3069	32	53	,	,	PUNCT
ejpam-3069	32	54	t	t	PROPN
ejpam-3069	32	55	)	)	PUNCT
ejpam-3069	32	56	and	and	CCONJ
ejpam-3069	32	57	its	its	PRON
ejpam-3069	32	58	derivatives	derivative	NOUN
ejpam-3069	32	59	ut(x	ut(x	NOUN
ejpam-3069	32	60	,	,	PUNCT
ejpam-3069	32	61	t	t	PROPN
ejpam-3069	32	62	)	)	PUNCT
ejpam-3069	32	63	,	,	PUNCT
ejpam-3069	32	64	ux(x	ux(x	AUX
ejpam-3069	32	65	,	,	PUNCT
ejpam-3069	32	66	t	t	PROPN
ejpam-3069	32	67	)	)	PUNCT
ejpam-3069	32	68	,	,	PUNCT
ejpam-3069	32	69	uxx(x	uxx(x	PROPN
ejpam-3069	32	70	,	,	PUNCT
ejpam-3069	32	71	t	t	PROPN
ejpam-3069	32	72	)	)	PUNCT
ejpam-3069	32	73	are	be	AUX
ejpam-3069	32	74	continuous	continuous	ADJ
ejpam-3069	32	75	in	in	ADP
ejpam-3069	32	76	the	the	DET
ejpam-3069	32	77	domain	domain	NOUN
ejpam-3069	32	78	qt	qt	NOUN
ejpam-3069	32	79	;	;	PUNCT
ejpam-3069	32	80	(	(	PUNCT
ejpam-3069	32	81	ii	ii	NOUN
ejpam-3069	32	82	)	)	PUNCT
ejpam-3069	32	83	the	the	DET
ejpam-3069	32	84	functions	function	NOUN
ejpam-3069	32	85	a(t	a(t	VERB
ejpam-3069	32	86	)	)	PUNCT
ejpam-3069	32	87	and	and	CCONJ
ejpam-3069	32	88	b(t	b(t	NOUN
ejpam-3069	32	89	)	)	PUNCT
ejpam-3069	32	90	are	be	AUX
ejpam-3069	32	91	continuous	continuous	ADJ
ejpam-3069	32	92	on	on	ADP
ejpam-3069	32	93	the	the	DET
ejpam-3069	32	94	interval	interval	NOUN
ejpam-3069	32	95	[	[	X
ejpam-3069	32	96	0	0	NUM
ejpam-3069	32	97	,	,	PUNCT
ejpam-3069	32	98	t	t	X
ejpam-3069	32	99	]	]	PUNCT
ejpam-3069	32	100	;	;	PUNCT
ejpam-3069	32	101	(	(	PUNCT
ejpam-3069	32	102	iii	iii	X
ejpam-3069	32	103	)	)	PUNCT
ejpam-3069	32	104	equation	equation	NOUN
ejpam-3069	32	105	(	(	PUNCT
ejpam-3069	32	106	1	1	NUM
ejpam-3069	32	107	)	)	PUNCT
ejpam-3069	32	108	and	and	CCONJ
ejpam-3069	32	109	conditions	condition	NOUN
ejpam-3069	32	110	(	(	PUNCT
ejpam-3069	32	111	2)-(6	2)-(6	NUM
ejpam-3069	32	112	)	)	PUNCT
ejpam-3069	32	113	are	be	AUX
ejpam-3069	32	114	satisfied	satisfied	ADJ
ejpam-3069	32	115	in	in	ADP
ejpam-3069	32	116	the	the	DET
ejpam-3069	32	117	usual	usual	ADJ
ejpam-3069	32	118	sense	sense	NOUN
ejpam-3069	32	119	.	.	PUNCT
ejpam-3069	33	1	to	to	PART
ejpam-3069	33	2	investigate	investigate	VERB
ejpam-3069	33	3	the	the	DET
ejpam-3069	33	4	problem	problem	NOUN
ejpam-3069	33	5	(	(	PUNCT
ejpam-3069	33	6	1)-(6	1)-(6	NUM
ejpam-3069	33	7	)	)	PUNCT
ejpam-3069	33	8	,	,	PUNCT
ejpam-3069	33	9	first	first	ADV
ejpam-3069	33	10	consider	consider	VERB
ejpam-3069	33	11	the	the	DET
ejpam-3069	33	12	following	follow	VERB
ejpam-3069	33	13	problem	problem	NOUN
ejpam-3069	33	14	:	:	PUNCT
ejpam-3069	33	15	c(t)y′(t	c(t)y′(t	PROPN
ejpam-3069	33	16	)	)	PUNCT
ejpam-3069	33	17	=	=	SYM
ejpam-3069	33	18	a(t)y(t	a(t)y(t	PROPN
ejpam-3069	33	19	)	)	PUNCT
ejpam-3069	33	20	(	(	PUNCT
ejpam-3069	33	21	0	0	NUM
ejpam-3069	33	22	≤	≤	PROPN
ejpam-3069	33	23	t	t	PROPN
ejpam-3069	33	24	≤	≤	PROPN
ejpam-3069	33	25	t	t	PROPN
ejpam-3069	33	26	)	)	PUNCT
ejpam-3069	33	27	,	,	PUNCT
ejpam-3069	33	28	(	(	PUNCT
ejpam-3069	33	29	7	7	X
ejpam-3069	33	30	)	)	PUNCT
ejpam-3069	33	31	y(0	y(0	PROPN
ejpam-3069	33	32	)	)	PUNCT
ejpam-3069	33	33	+	+	NUM
ejpam-3069	33	34	δy(t	δy(t	X
ejpam-3069	33	35	)	)	PUNCT
ejpam-3069	34	1	=	=	SYM
ejpam-3069	34	2	0	0	PUNCT
ejpam-3069	34	3	(	(	PUNCT
ejpam-3069	34	4	8)	8)	NUM
ejpam-3069	34	5	where	where	SCONJ
ejpam-3069	34	6	δ	δ	PROPN
ejpam-3069	34	7	≥	≥	AUX
ejpam-3069	34	8	0	0	NUM
ejpam-3069	34	9	is	be	AUX
ejpam-3069	34	10	a	a	DET
ejpam-3069	34	11	given	give	VERB
ejpam-3069	34	12	number	number	NOUN
ejpam-3069	34	13	c(t	c(t	PROPN
ejpam-3069	34	14	)	)	PUNCT
ejpam-3069	34	15	,	,	PUNCT
ejpam-3069	34	16	a(t	a(t	NOUN
ejpam-3069	34	17	)	)	PUNCT
ejpam-3069	34	18	∈	∈	PROPN
ejpam-3069	34	19	c[0	c[0	PROPN
ejpam-3069	34	20	,	,	PUNCT
ejpam-3069	34	21	t	t	PROPN
ejpam-3069	34	22	]	]	PUNCT
ejpam-3069	34	23	are	be	AUX
ejpam-3069	34	24	given	give	VERB
ejpam-3069	34	25	functions	function	NOUN
ejpam-3069	34	26	,	,	PUNCT
ejpam-3069	34	27	and	and	CCONJ
ejpam-3069	34	28	y	y	PROPN
ejpam-3069	34	29	=	=	SYM
ejpam-3069	34	30	y(t	y(t	PROPN
ejpam-3069	34	31	)	)	PUNCT
ejpam-3069	34	32	is	be	AUX
ejpam-3069	34	33	unknown	unknown	ADJ
ejpam-3069	34	34	function	function	NOUN
ejpam-3069	34	35	.	.	PUNCT
ejpam-3069	35	1	under	under	ADP
ejpam-3069	35	2	the	the	DET
ejpam-3069	35	3	classic	classic	ADJ
ejpam-3069	35	4	solution	solution	NOUN
ejpam-3069	35	5	of	of	ADP
ejpam-3069	35	6	problem	problem	NOUN
ejpam-3069	35	7	(	(	PUNCT
ejpam-3069	35	8	7),(8	7),(8	X
ejpam-3069	35	9	)	)	PUNCT
ejpam-3069	35	10	we	we	PRON
ejpam-3069	35	11	understand	understand	VERB
ejpam-3069	35	12	the	the	DET
ejpam-3069	35	13	function	function	NOUN
ejpam-3069	35	14	y(t	y(t	PROPN
ejpam-3069	35	15	)	)	PUNCT
ejpam-3069	35	16	,	,	PUNCT
ejpam-3069	35	17	continuous	continuous	ADJ
ejpam-3069	35	18	on	on	ADP
ejpam-3069	35	19	the	the	DET
ejpam-3069	35	20	interval	interval	NOUN
ejpam-3069	35	21	[	[	X
ejpam-3069	35	22	0	0	NUM
ejpam-3069	35	23	,	,	PUNCT
ejpam-3069	35	24	t	t	X
ejpam-3069	35	25	]	]	PUNCT
ejpam-3069	35	26	together	together	ADV
ejpam-3069	35	27	with	with	ADP
ejpam-3069	35	28	all	all	DET
ejpam-3069	35	29	its	its	PRON
ejpam-3069	35	30	derivatives	derivative	NOUN
ejpam-3069	35	31	contained	contain	VERB
ejpam-3069	35	32	in	in	ADP
ejpam-3069	35	33	equation	equation	NOUN
ejpam-3069	35	34	(	(	PUNCT
ejpam-3069	35	35	7	7	X
ejpam-3069	35	36	)	)	PUNCT
ejpam-3069	35	37	satisfying	satisfy	VERB
ejpam-3069	35	38	both	both	PRON
ejpam-3069	35	39	(	(	PUNCT
ejpam-3069	35	40	7	7	NUM
ejpam-3069	35	41	)	)	PUNCT
ejpam-3069	35	42	and	and	CCONJ
ejpam-3069	35	43	(	(	PUNCT
ejpam-3069	35	44	8)	8)	NUM
ejpam-3069	35	45	in	in	ADP
ejpam-3069	35	46	the	the	DET
ejpam-3069	35	47	classical	classical	ADJ
ejpam-3069	35	48	sense	sense	NOUN
ejpam-3069	35	49	.	.	PUNCT
ejpam-3069	36	1	e.	e.	PROPN
ejpam-3069	36	2	azizbayov	azizbayov	PROPN
ejpam-3069	36	3	,	,	PUNCT
ejpam-3069	36	4	y.	y.	PROPN
ejpam-3069	36	5	mehraliyev	mehraliyev	PROPN
ejpam-3069	36	6	/	/	SYM
ejpam-3069	36	7	eur	eur	PROPN
ejpam-3069	36	8	.	.	PUNCT
ejpam-3069	37	1	j.	j.	PROPN
ejpam-3069	37	2	pure	pure	PROPN
ejpam-3069	37	3	appl	appl	PROPN
ejpam-3069	37	4	.	.	PROPN
ejpam-3069	37	5	math	math	PROPN
ejpam-3069	37	6	,	,	PUNCT
ejpam-3069	37	7	10	10	NUM
ejpam-3069	37	8	(	(	PUNCT
ejpam-3069	37	9	5	5	NUM
ejpam-3069	37	10	)	)	PUNCT
ejpam-3069	37	11	(	(	PUNCT
ejpam-3069	37	12	2017	2017	NUM
ejpam-3069	37	13	)	)	PUNCT
ejpam-3069	37	14	,	,	PUNCT
ejpam-3069	37	15	981	981	NUM
ejpam-3069	37	16	-	-	SYM
ejpam-3069	37	17	994	994	NUM
ejpam-3069	37	18	983	983	NUM
ejpam-3069	37	19	lemma	lemma	PROPN
ejpam-3069	37	20	1	1	NUM
ejpam-3069	37	21	.	.	PUNCT
ejpam-3069	38	1	let	let	VERB
ejpam-3069	38	2	δ	δ	PROPN
ejpam-3069	38	3	≥	≥	PRON
ejpam-3069	38	4	0	0	NUM
ejpam-3069	38	5	,	,	PUNCT
ejpam-3069	38	6	0	0	NUM
ejpam-3069	38	7	<	<	X
ejpam-3069	38	8	c(t	c(t	PROPN
ejpam-3069	38	9	)	)	PUNCT
ejpam-3069	38	10	∈	∈	PROPN
ejpam-3069	38	11	c[0	c[0	PROPN
ejpam-3069	38	12	,	,	PUNCT
ejpam-3069	38	13	t	t	X
ejpam-3069	38	14	]	]	PUNCT
ejpam-3069	38	15	,	,	PUNCT
ejpam-3069	38	16	and	and	CCONJ
ejpam-3069	38	17	a(t	a(t	NOUN
ejpam-3069	38	18	)	)	PUNCT
ejpam-3069	38	19	∈	∈	PROPN
ejpam-3069	38	20	c[0	c[0	PROPN
ejpam-3069	38	21	,	,	PUNCT
ejpam-3069	38	22	t	t	X
ejpam-3069	38	23	]	]	PUNCT
ejpam-3069	38	24	.	.	PUNCT
ejpam-3069	39	1	then	then	ADV
ejpam-3069	39	2	the	the	DET
ejpam-3069	39	3	problem	problem	NOUN
ejpam-3069	39	4	(	(	PUNCT
ejpam-3069	39	5	7	7	NUM
ejpam-3069	39	6	)	)	PUNCT
ejpam-3069	39	7	,	,	PUNCT
ejpam-3069	39	8	(	(	PUNCT
ejpam-3069	39	9	8)	8)	NUM
ejpam-3069	39	10	has	have	VERB
ejpam-3069	39	11	a	a	DET
ejpam-3069	39	12	unique	unique	ADJ
ejpam-3069	39	13	trivial	trivial	ADJ
ejpam-3069	39	14	solution	solution	NOUN
ejpam-3069	39	15	.	.	PUNCT
ejpam-3069	40	1	proof	proof	NOUN
ejpam-3069	40	2	.	.	PUNCT
ejpam-3069	41	1	it	it	PRON
ejpam-3069	41	2	’s	’	VERB
ejpam-3069	41	3	obvious	obvious	ADJ
ejpam-3069	41	4	that	that	SCONJ
ejpam-3069	41	5	the	the	DET
ejpam-3069	41	6	general	general	ADJ
ejpam-3069	41	7	solution	solution	NOUN
ejpam-3069	41	8	of	of	ADP
ejpam-3069	41	9	equation	equation	NOUN
ejpam-3069	41	10	(	(	PUNCT
ejpam-3069	41	11	7	7	X
ejpam-3069	41	12	)	)	PUNCT
ejpam-3069	41	13	has	have	VERB
ejpam-3069	41	14	the	the	DET
ejpam-3069	41	15	form	form	NOUN
ejpam-3069	41	16	:	:	PUNCT
ejpam-3069	41	17	y(t	y(t	NUM
ejpam-3069	41	18	)	)	PUNCT
ejpam-3069	42	1	=	=	SYM
ejpam-3069	42	2	ce	ce	PROPN
ejpam-3069	42	3	t∫	t∫	NOUN
ejpam-3069	42	4	0	0	NUM
ejpam-3069	42	5	a(τ	a(τ	PROPN
ejpam-3069	42	6	)	)	PUNCT
ejpam-3069	42	7	c(τ	c(τ	PROPN
ejpam-3069	42	8	)	)	PUNCT
ejpam-3069	42	9	dτ	dτ	NOUN
ejpam-3069	42	10	.	.	PUNCT
ejpam-3069	43	1	(	(	PUNCT
ejpam-3069	43	2	9	9	X
ejpam-3069	43	3	)	)	PUNCT
ejpam-3069	43	4	using	use	VERB
ejpam-3069	43	5	(	(	PUNCT
ejpam-3069	43	6	7	7	X
ejpam-3069	43	7	)	)	PUNCT
ejpam-3069	43	8	we	we	PRON
ejpam-3069	43	9	obtain	obtain	VERB
ejpam-3069	43	10	c	c	PROPN
ejpam-3069	43	11	1	1	X
ejpam-3069	44	1	+	+	CCONJ
ejpam-3069	44	2	δe	δe	PRON
ejpam-3069	44	3	t∫	t∫	PRON
ejpam-3069	44	4	0	0	NUM
ejpam-3069	44	5	a(t	a(t	NOUN
ejpam-3069	44	6	)	)	PUNCT
ejpam-3069	44	7	c(t	c(t	PROPN
ejpam-3069	44	8	)	)	PUNCT
ejpam-3069	45	1	dt	dt	NOUN
ejpam-3069	46	1			PROPN
ejpam-3069	46	2	=	=	SYM
ejpam-3069	46	3	0	0	X
ejpam-3069	46	4	.	.	PUNCT
ejpam-3069	47	1	by	by	ADP
ejpam-3069	47	2	δ	δ	PROPN
ejpam-3069	47	3	≥	≥	NUM
ejpam-3069	47	4	0	0	NUM
ejpam-3069	47	5	,	,	PUNCT
ejpam-3069	47	6	from	from	ADP
ejpam-3069	47	7	the	the	DET
ejpam-3069	47	8	latter	latter	ADJ
ejpam-3069	47	9	relation	relation	NOUN
ejpam-3069	47	10	we	we	PRON
ejpam-3069	47	11	have	have	VERB
ejpam-3069	47	12	c	c	NOUN
ejpam-3069	47	13	=	=	SYM
ejpam-3069	47	14	0	0	X
ejpam-3069	47	15	.	.	PUNCT
ejpam-3069	48	1	putting	put	VERB
ejpam-3069	48	2	the	the	DET
ejpam-3069	48	3	value	value	NOUN
ejpam-3069	48	4	of	of	ADP
ejpam-3069	48	5	c	c	NOUN
ejpam-3069	48	6	=	=	SYM
ejpam-3069	48	7	0	0	NUM
ejpam-3069	49	1	in	in	ADP
ejpam-3069	49	2	(	(	PUNCT
ejpam-3069	49	3	9	9	NUM
ejpam-3069	49	4	)	)	PUNCT
ejpam-3069	49	5	,	,	PUNCT
ejpam-3069	49	6	we	we	PRON
ejpam-3069	49	7	get	get	VERB
ejpam-3069	49	8	that	that	SCONJ
ejpam-3069	49	9	the	the	DET
ejpam-3069	49	10	problem	problem	NOUN
ejpam-3069	49	11	(	(	PUNCT
ejpam-3069	49	12	7	7	NUM
ejpam-3069	49	13	)	)	PUNCT
ejpam-3069	49	14	,	,	PUNCT
ejpam-3069	49	15	(	(	PUNCT
ejpam-3069	49	16	8)	8)	NUM
ejpam-3069	49	17	has	have	VERB
ejpam-3069	49	18	only	only	ADV
ejpam-3069	49	19	the	the	DET
ejpam-3069	49	20	trivial	trivial	ADJ
ejpam-3069	49	21	solution	solution	NOUN
ejpam-3069	49	22	.	.	PUNCT
ejpam-3069	50	1	the	the	DET
ejpam-3069	50	2	proof	proof	NOUN
ejpam-3069	50	3	is	be	AUX
ejpam-3069	50	4	complete	complete	ADJ
ejpam-3069	50	5	.	.	PUNCT
ejpam-3069	51	1	theorem	theorem	NOUN
ejpam-3069	51	2	1	1	NUM
ejpam-3069	51	3	.	.	PUNCT
ejpam-3069	51	4	suppose	suppose	VERB
ejpam-3069	51	5	that	that	SCONJ
ejpam-3069	51	6	δ	δ	PROPN
ejpam-3069	51	7	≥	≥	NOUN
ejpam-3069	51	8	0	0	NUM
ejpam-3069	51	9	,	,	PUNCT
ejpam-3069	51	10	0	0	NUM
ejpam-3069	51	11	<	<	X
ejpam-3069	51	12	c(t	c(t	PROPN
ejpam-3069	51	13	)	)	PUNCT
ejpam-3069	51	14	∈	∈	PROPN
ejpam-3069	51	15	c[0	c[0	PROPN
ejpam-3069	51	16	,	,	PUNCT
ejpam-3069	51	17	t	t	X
ejpam-3069	51	18	]	]	PUNCT
ejpam-3069	51	19	,	,	PUNCT
ejpam-3069	51	20	f(x	f(x	PROPN
ejpam-3069	51	21	,	,	PUNCT
ejpam-3069	51	22	t	t	PROPN
ejpam-3069	51	23	)	)	PUNCT
ejpam-3069	51	24	∈	∈	PROPN
ejpam-3069	51	25	c(qt	c(qt	PROPN
ejpam-3069	51	26	)	)	PUNCT
ejpam-3069	51	27	,	,	PUNCT
ejpam-3069	51	28	1∫	1∫	NUM
ejpam-3069	51	29	0	0	NUM
ejpam-3069	51	30	f(x	f(x	PROPN
ejpam-3069	51	31	,	,	PUNCT
ejpam-3069	52	1	t)dx	t)dx	PROPN
ejpam-3069	52	2	=	=	SYM
ejpam-3069	52	3	0	0	NUM
ejpam-3069	53	1	(	(	PUNCT
ejpam-3069	53	2	0	0	NUM
ejpam-3069	53	3	≤	≤	PROPN
ejpam-3069	53	4	t	t	PROPN
ejpam-3069	53	5	≤	≤	PROPN
ejpam-3069	53	6	t	t	PROPN
ejpam-3069	53	7	)	)	PUNCT
ejpam-3069	53	8	,	,	PUNCT
ejpam-3069	53	9	g(x	g(x	PROPN
ejpam-3069	53	10	,	,	PUNCT
ejpam-3069	53	11	t	t	PROPN
ejpam-3069	53	12	)	)	PUNCT
ejpam-3069	53	13	∈	∈	PROPN
ejpam-3069	53	14	c(qt	c(qt	PROPN
ejpam-3069	53	15	)	)	PUNCT
ejpam-3069	53	16	,	,	PUNCT
ejpam-3069	53	17	1∫	1∫	NUM
ejpam-3069	53	18	0	0	NUM
ejpam-3069	53	19	g(x	g(x	NOUN
ejpam-3069	53	20	,	,	PUNCT
ejpam-3069	53	21	t)dx	t)dx	PROPN
ejpam-3069	53	22	=	=	SYM
ejpam-3069	53	23	0	0	NUM
ejpam-3069	53	24	(	(	PUNCT
ejpam-3069	53	25	0	0	NUM
ejpam-3069	53	26	≤	≤	PROPN
ejpam-3069	53	27	t	t	PROPN
ejpam-3069	53	28	≤	≤	PROPN
ejpam-3069	53	29	t	t	PROPN
ejpam-3069	53	30	)	)	PUNCT
ejpam-3069	53	31	,	,	PUNCT
ejpam-3069	53	32	hi(t	hi(t	NOUN
ejpam-3069	53	33	)	)	PUNCT
ejpam-3069	53	34	∈	∈	PROPN
ejpam-3069	53	35	c1[0	c1[0	PROPN
ejpam-3069	53	36	,	,	PUNCT
ejpam-3069	53	37	t	t	X
ejpam-3069	53	38	]	]	PUNCT
ejpam-3069	53	39	,	,	PUNCT
ejpam-3069	53	40	(	(	PUNCT
ejpam-3069	53	41	i	i	NOUN
ejpam-3069	53	42	=	=	NOUN
ejpam-3069	53	43	1	1	NUM
ejpam-3069	53	44	,	,	PUNCT
ejpam-3069	53	45	2	2	NUM
ejpam-3069	53	46	)	)	PUNCT
ejpam-3069	53	47	,	,	PUNCT
ejpam-3069	53	48	h(t	h(t	PROPN
ejpam-3069	53	49	)	)	PUNCT
ejpam-3069	53	50	≡	≡	PROPN
ejpam-3069	53	51	h1(t)g(1	h1(t)g(1	NUM
ejpam-3069	53	52	,	,	PUNCT
ejpam-3069	53	53	t)−	t)−	PROPN
ejpam-3069	53	54	h2(t)g(0	h2(t)g(0	NOUN
ejpam-3069	53	55	,	,	PUNCT
ejpam-3069	53	56	t	t	PROPN
ejpam-3069	53	57	)	)	PUNCT
ejpam-3069	53	58	6=	6=	ADP
ejpam-3069	53	59	0	0	NUM
ejpam-3069	53	60	(	(	PUNCT
ejpam-3069	53	61	0	0	NUM
ejpam-3069	53	62	≤	≤	PROPN
ejpam-3069	53	63	t	t	PROPN
ejpam-3069	53	64	≤	≤	PROPN
ejpam-3069	53	65	t	t	PROPN
ejpam-3069	53	66	)	)	PUNCT
ejpam-3069	53	67	and	and	CCONJ
ejpam-3069	53	68	the	the	DET
ejpam-3069	53	69	compatibility	compatibility	NOUN
ejpam-3069	53	70	conditions	condition	VERB
ejpam-3069	53	71	1∫	1∫	NUM
ejpam-3069	53	72	0	0	NUM
ejpam-3069	53	73	ϕ(x)dx	ϕ(x)dx	VERB
ejpam-3069	53	74	=	=	SYM
ejpam-3069	53	75	0	0	PROPN
ejpam-3069	53	76	,	,	PUNCT
ejpam-3069	53	77	(	(	PUNCT
ejpam-3069	53	78	10	10	NUM
ejpam-3069	53	79	)	)	PUNCT
ejpam-3069	53	80	h1(0	h1(0	NOUN
ejpam-3069	53	81	)	)	PUNCT
ejpam-3069	54	1	+	+	CCONJ
ejpam-3069	55	1	δh1(t	δh1(t	ADJ
ejpam-3069	55	2	)	)	PUNCT
ejpam-3069	55	3	=	=	SYM
ejpam-3069	55	4	ϕ(0	ϕ(0	PROPN
ejpam-3069	55	5	)	)	PUNCT
ejpam-3069	55	6	,	,	PUNCT
ejpam-3069	55	7	h2(0	h2(0	NOUN
ejpam-3069	55	8	)	)	PUNCT
ejpam-3069	55	9	+	+	CCONJ
ejpam-3069	55	10	δh2(t	δh2(t	PROPN
ejpam-3069	55	11	)	)	PUNCT
ejpam-3069	56	1	=	=	SYM
ejpam-3069	56	2	ϕ(1	ϕ(1	PROPN
ejpam-3069	56	3	)	)	PUNCT
ejpam-3069	56	4	(	(	PUNCT
ejpam-3069	56	5	11	11	X
ejpam-3069	56	6	)	)	PUNCT
ejpam-3069	56	7	hold	hold	NOUN
ejpam-3069	56	8	.	.	PUNCT
ejpam-3069	57	1	then	then	ADV
ejpam-3069	57	2	the	the	DET
ejpam-3069	57	3	problem	problem	NOUN
ejpam-3069	57	4	of	of	ADP
ejpam-3069	57	5	finding	find	VERB
ejpam-3069	57	6	a	a	DET
ejpam-3069	57	7	classical	classical	ADJ
ejpam-3069	57	8	solution	solution	NOUN
ejpam-3069	57	9	of	of	ADP
ejpam-3069	57	10	(	(	PUNCT
ejpam-3069	57	11	1)-(6	1)-(6	NUM
ejpam-3069	57	12	)	)	PUNCT
ejpam-3069	57	13	is	be	AUX
ejpam-3069	57	14	equivalent	equivalent	ADJ
ejpam-3069	57	15	to	to	ADP
ejpam-3069	57	16	the	the	DET
ejpam-3069	57	17	problem	problem	NOUN
ejpam-3069	57	18	of	of	ADP
ejpam-3069	57	19	determining	determine	VERB
ejpam-3069	57	20	functions	function	NOUN
ejpam-3069	57	21	u(x	u(x	NOUN
ejpam-3069	57	22	,	,	PUNCT
ejpam-3069	57	23	t	t	PROPN
ejpam-3069	57	24	)	)	PUNCT
ejpam-3069	57	25	∈	∈	PROPN
ejpam-3069	57	26	c2,1(qt	c2,1(qt	NOUN
ejpam-3069	57	27	)	)	PUNCT
ejpam-3069	57	28	,	,	PUNCT
ejpam-3069	57	29	a(t	a(t	NOUN
ejpam-3069	57	30	)	)	PUNCT
ejpam-3069	57	31	∈	∈	PROPN
ejpam-3069	57	32	c[0	c[0	PROPN
ejpam-3069	57	33	,	,	PUNCT
ejpam-3069	57	34	t	t	X
ejpam-3069	57	35	]	]	PUNCT
ejpam-3069	57	36	,	,	PUNCT
ejpam-3069	57	37	and	and	CCONJ
ejpam-3069	57	38	b(t	b(t	PROPN
ejpam-3069	57	39	)	)	PUNCT
ejpam-3069	57	40	∈	∈	PROPN
ejpam-3069	57	41	c[0	c[0	PROPN
ejpam-3069	57	42	,	,	PUNCT
ejpam-3069	57	43	t	t	X
ejpam-3069	57	44	]	]	PUNCT
ejpam-3069	57	45	,	,	PUNCT
ejpam-3069	57	46	satisfying	satisfy	VERB
ejpam-3069	57	47	equation	equation	NOUN
ejpam-3069	57	48	(	(	PUNCT
ejpam-3069	57	49	1	1	NUM
ejpam-3069	57	50	)	)	PUNCT
ejpam-3069	57	51	,	,	PUNCT
ejpam-3069	57	52	conditions	condition	NOUN
ejpam-3069	57	53	(	(	PUNCT
ejpam-3069	57	54	2	2	NUM
ejpam-3069	57	55	)	)	PUNCT
ejpam-3069	57	56	and	and	CCONJ
ejpam-3069	57	57	(	(	PUNCT
ejpam-3069	57	58	3	3	NUM
ejpam-3069	57	59	)	)	PUNCT
ejpam-3069	57	60	,	,	PUNCT
ejpam-3069	57	61	and	and	CCONJ
ejpam-3069	57	62	the	the	DET
ejpam-3069	57	63	conditions	condition	NOUN
ejpam-3069	57	64	ux(1	ux(1	PROPN
ejpam-3069	57	65	,	,	PUNCT
ejpam-3069	57	66	t	t	PROPN
ejpam-3069	57	67	)	)	PUNCT
ejpam-3069	57	68	=	=	SYM
ejpam-3069	57	69	0	0	PUNCT
ejpam-3069	58	1	(	(	PUNCT
ejpam-3069	58	2	0	0	NUM
ejpam-3069	58	3	≤	≤	PROPN
ejpam-3069	58	4	t	t	PROPN
ejpam-3069	58	5	≤	≤	PROPN
ejpam-3069	58	6	t	t	PROPN
ejpam-3069	58	7	)	)	PUNCT
ejpam-3069	58	8	,	,	PUNCT
ejpam-3069	58	9	(	(	PUNCT
ejpam-3069	58	10	12	12	NUM
ejpam-3069	58	11	)	)	PUNCT
ejpam-3069	58	12	c(t)h′1(t	c(t)h′1(t	NOUN
ejpam-3069	58	13	)	)	PUNCT
ejpam-3069	58	14	=	=	PUNCT
ejpam-3069	58	15	uxx(0	uxx(0	PROPN
ejpam-3069	58	16	,	,	PUNCT
ejpam-3069	58	17	t	t	PROPN
ejpam-3069	58	18	)	)	PUNCT
ejpam-3069	58	19	+	+	X
ejpam-3069	58	20	a(t)h1(t	a(t)h1(t	PROPN
ejpam-3069	58	21	)	)	PUNCT
ejpam-3069	59	1	+	+	NUM
ejpam-3069	59	2	b(t)g(0	b(t)g(0	NOUN
ejpam-3069	59	3	,	,	PUNCT
ejpam-3069	59	4	t	t	PROPN
ejpam-3069	59	5	)	)	PUNCT
ejpam-3069	59	6	+	+	CCONJ
ejpam-3069	59	7	f(0	f(0	NOUN
ejpam-3069	59	8	,	,	PUNCT
ejpam-3069	59	9	t	t	PROPN
ejpam-3069	59	10	)	)	PUNCT
ejpam-3069	59	11	(	(	PUNCT
ejpam-3069	59	12	0	0	NUM
ejpam-3069	59	13	≤	≤	PROPN
ejpam-3069	59	14	t	t	PROPN
ejpam-3069	59	15	≤	≤	PROPN
ejpam-3069	59	16	t	t	PROPN
ejpam-3069	59	17	)	)	PUNCT
ejpam-3069	59	18	,	,	PUNCT
ejpam-3069	59	19	(	(	PUNCT
ejpam-3069	59	20	13	13	NUM
ejpam-3069	59	21	)	)	PUNCT
ejpam-3069	59	22	c(t)h′2(t	c(t)h′2(t	NOUN
ejpam-3069	59	23	)	)	PUNCT
ejpam-3069	59	24	=	=	SYM
ejpam-3069	59	25	uxx(1	uxx(1	NOUN
ejpam-3069	59	26	,	,	PUNCT
ejpam-3069	59	27	t	t	PROPN
ejpam-3069	59	28	)	)	PUNCT
ejpam-3069	59	29	+	+	CCONJ
ejpam-3069	59	30	a(t)h2(t	a(t)h2(t	PROPN
ejpam-3069	59	31	)	)	PUNCT
ejpam-3069	60	1	+	+	CCONJ
ejpam-3069	60	2	b(t)g(1	b(t)g(1	NOUN
ejpam-3069	60	3	,	,	PUNCT
ejpam-3069	60	4	t	t	PROPN
ejpam-3069	60	5	)	)	PUNCT
ejpam-3069	60	6	+	+	CCONJ
ejpam-3069	61	1	f(1	f(1	PROPN
ejpam-3069	61	2	,	,	PUNCT
ejpam-3069	61	3	t	t	PROPN
ejpam-3069	61	4	)	)	PUNCT
ejpam-3069	61	5	(	(	PUNCT
ejpam-3069	61	6	0	0	NUM
ejpam-3069	61	7	≤	≤	PROPN
ejpam-3069	61	8	t	t	NOUN
ejpam-3069	61	9	≤	≤	PROPN
ejpam-3069	61	10	t	t	PROPN
ejpam-3069	61	11	)	)	PUNCT
ejpam-3069	61	12	.	.	PUNCT
ejpam-3069	62	1	(	(	PUNCT
ejpam-3069	62	2	14	14	NUM
ejpam-3069	62	3	)	)	PUNCT
ejpam-3069	62	4	e.	e.	PROPN
ejpam-3069	62	5	azizbayov	azizbayov	PROPN
ejpam-3069	62	6	,	,	PUNCT
ejpam-3069	62	7	y.	y.	PROPN
ejpam-3069	62	8	mehraliyev	mehraliyev	PROPN
ejpam-3069	62	9	/	/	SYM
ejpam-3069	62	10	eur	eur	PROPN
ejpam-3069	62	11	.	.	PUNCT
ejpam-3069	63	1	j.	j.	PROPN
ejpam-3069	63	2	pure	pure	PROPN
ejpam-3069	63	3	appl	appl	PROPN
ejpam-3069	63	4	.	.	PROPN
ejpam-3069	63	5	math	math	PROPN
ejpam-3069	63	6	,	,	PUNCT
ejpam-3069	63	7	10	10	NUM
ejpam-3069	63	8	(	(	PUNCT
ejpam-3069	63	9	5	5	NUM
ejpam-3069	63	10	)	)	PUNCT
ejpam-3069	63	11	(	(	PUNCT
ejpam-3069	63	12	2017	2017	NUM
ejpam-3069	63	13	)	)	PUNCT
ejpam-3069	63	14	,	,	PUNCT
ejpam-3069	63	15	981	981	NUM
ejpam-3069	63	16	-	-	SYM
ejpam-3069	63	17	994	994	NUM
ejpam-3069	63	18	984	984	NUM
ejpam-3069	63	19	proof	proof	NOUN
ejpam-3069	63	20	.	.	PUNCT
ejpam-3069	64	1	let	let	AUX
ejpam-3069	64	2	{	{	PUNCT
ejpam-3069	64	3	u(x	u(x	PROPN
ejpam-3069	64	4	,	,	PUNCT
ejpam-3069	64	5	t	t	PROPN
ejpam-3069	64	6	)	)	PUNCT
ejpam-3069	64	7	,	,	PUNCT
ejpam-3069	64	8	a(t	a(t	NOUN
ejpam-3069	64	9	)	)	PUNCT
ejpam-3069	64	10	,	,	PUNCT
ejpam-3069	64	11	b(t	b(t	PROPN
ejpam-3069	64	12	)	)	PUNCT
ejpam-3069	64	13	}	}	PUNCT
ejpam-3069	64	14	be	be	AUX
ejpam-3069	64	15	a	a	DET
ejpam-3069	64	16	classical	classical	ADJ
ejpam-3069	64	17	solution	solution	NOUN
ejpam-3069	64	18	of	of	ADP
ejpam-3069	64	19	(	(	PUNCT
ejpam-3069	64	20	1)-(6	1)-(6	NUM
ejpam-3069	64	21	)	)	PUNCT
ejpam-3069	64	22	.	.	PUNCT
ejpam-3069	65	1	integrating	integrate	VERB
ejpam-3069	65	2	both	both	DET
ejpam-3069	65	3	sides	side	NOUN
ejpam-3069	65	4	of	of	ADP
ejpam-3069	65	5	(	(	PUNCT
ejpam-3069	65	6	1	1	NUM
ejpam-3069	65	7	)	)	PUNCT
ejpam-3069	65	8	with	with	ADP
ejpam-3069	65	9	respect	respect	NOUN
ejpam-3069	65	10	to	to	ADP
ejpam-3069	65	11	x	x	PUNCT
ejpam-3069	65	12	from	from	ADP
ejpam-3069	65	13	0	0	NUM
ejpam-3069	65	14	to	to	ADP
ejpam-3069	65	15	1	1	NUM
ejpam-3069	65	16	yields	yield	NOUN
ejpam-3069	65	17	c(t	c(t	PROPN
ejpam-3069	65	18	)	)	PUNCT
ejpam-3069	65	19	d	d	NOUN
ejpam-3069	65	20	dt	dt	X
ejpam-3069	65	21	1∫	1∫	NUM
ejpam-3069	65	22	0	0	NUM
ejpam-3069	65	23	u(x	u(x	NOUN
ejpam-3069	65	24	,	,	PUNCT
ejpam-3069	65	25	t)dx	t)dx	PROPN
ejpam-3069	65	26	=	=	SYM
ejpam-3069	65	27	ux(1	ux(1	PROPN
ejpam-3069	65	28	,	,	PUNCT
ejpam-3069	65	29	t)−	t)−	PROPN
ejpam-3069	65	30	ux(0	ux(0	PROPN
ejpam-3069	65	31	,	,	PUNCT
ejpam-3069	65	32	t	t	PROPN
ejpam-3069	65	33	)	)	PUNCT
ejpam-3069	66	1	+	+	NOUN
ejpam-3069	66	2	a(t	a(t	NOUN
ejpam-3069	66	3	)	)	PUNCT
ejpam-3069	67	1	1∫	1∫	NUM
ejpam-3069	67	2	0	0	NUM
ejpam-3069	67	3	u(x	u(x	NOUN
ejpam-3069	67	4	,	,	PUNCT
ejpam-3069	67	5	t)dx+	t)dx+	NOUN
ejpam-3069	67	6	b(t	b(t	NOUN
ejpam-3069	67	7	)	)	PUNCT
ejpam-3069	67	8	1∫	1∫	NUM
ejpam-3069	67	9	0	0	NUM
ejpam-3069	67	10	g(x	g(x	NOUN
ejpam-3069	67	11	,	,	PUNCT
ejpam-3069	67	12	t)dx+	t)dx+	VERB
ejpam-3069	67	13	1∫	1∫	NUM
ejpam-3069	67	14	0	0	NUM
ejpam-3069	67	15	f(x	f(x	PROPN
ejpam-3069	67	16	,	,	PUNCT
ejpam-3069	67	17	t)dx	t)dx	PROPN
ejpam-3069	67	18	(	(	PUNCT
ejpam-3069	67	19	0	0	NUM
ejpam-3069	67	20	≤	≤	PROPN
ejpam-3069	67	21	t	t	NOUN
ejpam-3069	67	22	≤	≤	PROPN
ejpam-3069	67	23	t	t	PROPN
ejpam-3069	67	24	)	)	PUNCT
ejpam-3069	67	25	.	.	PUNCT
ejpam-3069	68	1	(	(	PUNCT
ejpam-3069	68	2	15	15	NUM
ejpam-3069	68	3	)	)	PUNCT
ejpam-3069	68	4	under	under	ADP
ejpam-3069	68	5	the	the	DET
ejpam-3069	68	6	assumptions	assumption	NOUN
ejpam-3069	68	7	1∫	1∫	NUM
ejpam-3069	68	8	0	0	NUM
ejpam-3069	68	9	f(x	f(x	PROPN
ejpam-3069	68	10	,	,	PUNCT
ejpam-3069	68	11	t)dx	t)dx	PROPN
ejpam-3069	68	12	=	=	SYM
ejpam-3069	68	13	0	0	NUM
ejpam-3069	68	14	,	,	PUNCT
ejpam-3069	68	15	1∫	1∫	NUM
ejpam-3069	68	16	0	0	NUM
ejpam-3069	68	17	g(x	g(x	NOUN
ejpam-3069	68	18	,	,	PUNCT
ejpam-3069	68	19	t)dx	t)dx	PROPN
ejpam-3069	68	20	=	=	SYM
ejpam-3069	68	21	0	0	NUM
ejpam-3069	68	22	(	(	PUNCT
ejpam-3069	68	23	0	0	NUM
ejpam-3069	68	24	≤	≤	PROPN
ejpam-3069	68	25	t	t	PROPN
ejpam-3069	68	26	≤	≤	PROPN
ejpam-3069	68	27	t	t	PROPN
ejpam-3069	68	28	)	)	PUNCT
ejpam-3069	68	29	,	,	PUNCT
ejpam-3069	68	30	by	by	ADP
ejpam-3069	68	31	virtue	virtue	NOUN
ejpam-3069	68	32	of	of	ADP
ejpam-3069	68	33	(	(	PUNCT
ejpam-3069	68	34	3	3	X
ejpam-3069	68	35	)	)	PUNCT
ejpam-3069	68	36	we	we	PRON
ejpam-3069	68	37	conclude	conclude	VERB
ejpam-3069	68	38	that	that	SCONJ
ejpam-3069	68	39	(	(	PUNCT
ejpam-3069	68	40	12	12	NUM
ejpam-3069	68	41	)	)	PUNCT
ejpam-3069	68	42	is	be	AUX
ejpam-3069	68	43	satisfied	satisfied	ADJ
ejpam-3069	68	44	.	.	PUNCT
ejpam-3069	69	1	setting	set	VERB
ejpam-3069	69	2	x	x	PUNCT
ejpam-3069	69	3	=	=	SYM
ejpam-3069	69	4	0	0	NUM
ejpam-3069	69	5	,	,	PUNCT
ejpam-3069	69	6	in	in	ADP
ejpam-3069	69	7	(	(	PUNCT
ejpam-3069	69	8	1	1	X
ejpam-3069	69	9	)	)	PUNCT
ejpam-3069	69	10	we	we	PRON
ejpam-3069	69	11	obtain	obtain	VERB
ejpam-3069	69	12	c(t)ut(0	c(t)ut(0	PROPN
ejpam-3069	69	13	,	,	PUNCT
ejpam-3069	69	14	t	t	PROPN
ejpam-3069	69	15	)	)	PUNCT
ejpam-3069	69	16	=	=	PUNCT
ejpam-3069	69	17	uxx(0	uxx(0	PROPN
ejpam-3069	69	18	,	,	PUNCT
ejpam-3069	69	19	t	t	PROPN
ejpam-3069	69	20	)	)	PUNCT
ejpam-3069	70	1	+	+	NUM
ejpam-3069	70	2	a(t)u(0	a(t)u(0	NOUN
ejpam-3069	70	3	,	,	PUNCT
ejpam-3069	70	4	t	t	PROPN
ejpam-3069	70	5	)	)	PUNCT
ejpam-3069	70	6	+	+	NUM
ejpam-3069	70	7	b(t)g(0	b(t)g(0	NOUN
ejpam-3069	70	8	,	,	PUNCT
ejpam-3069	70	9	t	t	PROPN
ejpam-3069	70	10	)	)	PUNCT
ejpam-3069	70	11	+	+	CCONJ
ejpam-3069	70	12	f(0	f(0	NOUN
ejpam-3069	70	13	,	,	PUNCT
ejpam-3069	70	14	t	t	PROPN
ejpam-3069	70	15	)	)	PUNCT
ejpam-3069	70	16	(	(	PUNCT
ejpam-3069	70	17	0	0	NUM
ejpam-3069	70	18	≤	≤	PROPN
ejpam-3069	70	19	t	t	NOUN
ejpam-3069	70	20	≤	≤	PROPN
ejpam-3069	70	21	t	t	PROPN
ejpam-3069	70	22	)	)	PUNCT
ejpam-3069	70	23	.	.	PUNCT
ejpam-3069	71	1	(	(	PUNCT
ejpam-3069	71	2	16	16	NUM
ejpam-3069	71	3	)	)	PUNCT
ejpam-3069	71	4	similarly	similarly	ADV
ejpam-3069	71	5	,	,	PUNCT
ejpam-3069	71	6	from	from	ADP
ejpam-3069	71	7	the	the	DET
ejpam-3069	71	8	equation	equation	NOUN
ejpam-3069	71	9	(	(	PUNCT
ejpam-3069	71	10	1	1	NUM
ejpam-3069	71	11	)	)	PUNCT
ejpam-3069	71	12	,	,	PUNCT
ejpam-3069	71	13	we	we	PRON
ejpam-3069	71	14	get	get	VERB
ejpam-3069	71	15	c(t)ut(1	c(t)ut(1	PROPN
ejpam-3069	71	16	,	,	PUNCT
ejpam-3069	71	17	t	t	PROPN
ejpam-3069	71	18	)	)	PUNCT
ejpam-3069	71	19	=	=	SYM
ejpam-3069	72	1	uxx(1	uxx(1	PROPN
ejpam-3069	72	2	,	,	PUNCT
ejpam-3069	72	3	t	t	PROPN
ejpam-3069	72	4	)	)	PUNCT
ejpam-3069	73	1	+	+	CCONJ
ejpam-3069	73	2	a(t)u(1	a(t)u(1	NOUN
ejpam-3069	73	3	,	,	PUNCT
ejpam-3069	73	4	t	t	PROPN
ejpam-3069	73	5	)	)	PUNCT
ejpam-3069	73	6	+	+	CCONJ
ejpam-3069	73	7	b(t)g(1	b(t)g(1	NOUN
ejpam-3069	73	8	,	,	PUNCT
ejpam-3069	73	9	t	t	PROPN
ejpam-3069	73	10	)	)	PUNCT
ejpam-3069	73	11	+	+	CCONJ
ejpam-3069	74	1	f(1	f(1	PROPN
ejpam-3069	74	2	,	,	PUNCT
ejpam-3069	74	3	t	t	PROPN
ejpam-3069	74	4	)	)	PUNCT
ejpam-3069	74	5	(	(	PUNCT
ejpam-3069	74	6	0	0	NUM
ejpam-3069	74	7	≤	≤	PROPN
ejpam-3069	74	8	t	t	NOUN
ejpam-3069	74	9	≤	≤	PROPN
ejpam-3069	74	10	t	t	PROPN
ejpam-3069	74	11	)	)	PUNCT
ejpam-3069	74	12	.	.	PUNCT
ejpam-3069	75	1	(	(	PUNCT
ejpam-3069	75	2	17	17	NUM
ejpam-3069	75	3	)	)	PUNCT
ejpam-3069	75	4	further	far	ADV
ejpam-3069	75	5	,	,	PUNCT
ejpam-3069	75	6	assuming	assume	VERB
ejpam-3069	75	7	hi(t	hi(t	NOUN
ejpam-3069	75	8	)	)	PUNCT
ejpam-3069	75	9	∈	∈	PROPN
ejpam-3069	75	10	c1[0	c1[0	PROPN
ejpam-3069	75	11	,	,	PUNCT
ejpam-3069	75	12	t	t	X
ejpam-3069	75	13	]	]	PUNCT
ejpam-3069	75	14	(	(	PUNCT
ejpam-3069	75	15	i	i	NOUN
ejpam-3069	75	16	=	=	NOUN
ejpam-3069	75	17	1	1	NUM
ejpam-3069	75	18	,	,	PUNCT
ejpam-3069	75	19	2	2	NUM
ejpam-3069	75	20	)	)	PUNCT
ejpam-3069	75	21	and	and	CCONJ
ejpam-3069	75	22	differentiating	differentiate	VERB
ejpam-3069	75	23	(	(	PUNCT
ejpam-3069	75	24	5	5	NUM
ejpam-3069	75	25	)	)	PUNCT
ejpam-3069	75	26	and	and	CCONJ
ejpam-3069	75	27	(	(	PUNCT
ejpam-3069	75	28	6	6	NUM
ejpam-3069	75	29	)	)	PUNCT
ejpam-3069	75	30	,	,	PUNCT
ejpam-3069	75	31	we	we	PRON
ejpam-3069	75	32	have	have	VERB
ejpam-3069	75	33	ut(0	ut(0	PROPN
ejpam-3069	75	34	,	,	PUNCT
ejpam-3069	75	35	t	t	PROPN
ejpam-3069	75	36	)	)	PUNCT
ejpam-3069	75	37	=	=	SYM
ejpam-3069	76	1	h1(t	h1(t	X
ejpam-3069	76	2	)	)	PUNCT
ejpam-3069	76	3	(	(	PUNCT
ejpam-3069	76	4	0	0	NUM
ejpam-3069	76	5	≤	≤	PROPN
ejpam-3069	76	6	t	t	PROPN
ejpam-3069	76	7	≤	≤	PROPN
ejpam-3069	76	8	t	t	PROPN
ejpam-3069	76	9	)	)	PUNCT
ejpam-3069	76	10	,	,	PUNCT
ejpam-3069	76	11	(	(	PUNCT
ejpam-3069	76	12	18	18	NUM
ejpam-3069	76	13	)	)	PUNCT
ejpam-3069	76	14	ut(1	ut(1	PROPN
ejpam-3069	76	15	,	,	PUNCT
ejpam-3069	76	16	t	t	PROPN
ejpam-3069	76	17	)	)	PUNCT
ejpam-3069	76	18	=	=	SYM
ejpam-3069	77	1	h2(t	h2(t	X
ejpam-3069	77	2	)	)	PUNCT
ejpam-3069	77	3	(	(	PUNCT
ejpam-3069	77	4	0	0	NUM
ejpam-3069	77	5	≤	≤	PROPN
ejpam-3069	77	6	t	t	PROPN
ejpam-3069	77	7	≤	≤	PROPN
ejpam-3069	77	8	t	t	PROPN
ejpam-3069	77	9	)	)	PUNCT
ejpam-3069	77	10	(	(	PUNCT
ejpam-3069	77	11	19	19	NUM
ejpam-3069	77	12	)	)	PUNCT
ejpam-3069	77	13	respectively	respectively	ADV
ejpam-3069	77	14	.	.	PUNCT
ejpam-3069	78	1	from	from	ADP
ejpam-3069	78	2	(	(	PUNCT
ejpam-3069	78	3	16	16	NUM
ejpam-3069	78	4	)	)	PUNCT
ejpam-3069	78	5	,	,	PUNCT
ejpam-3069	78	6	by	by	ADP
ejpam-3069	78	7	(	(	PUNCT
ejpam-3069	78	8	5	5	NUM
ejpam-3069	78	9	)	)	PUNCT
ejpam-3069	78	10	and	and	CCONJ
ejpam-3069	78	11	(	(	PUNCT
ejpam-3069	78	12	18	18	NUM
ejpam-3069	78	13	)	)	PUNCT
ejpam-3069	78	14	,	,	PUNCT
ejpam-3069	78	15	we	we	PRON
ejpam-3069	78	16	conclude	conclude	VERB
ejpam-3069	78	17	that	that	SCONJ
ejpam-3069	78	18	the	the	DET
ejpam-3069	78	19	relation	relation	NOUN
ejpam-3069	78	20	(	(	PUNCT
ejpam-3069	78	21	13	13	NUM
ejpam-3069	78	22	)	)	PUNCT
ejpam-3069	78	23	is	be	AUX
ejpam-3069	78	24	fulfilled	fulfil	VERB
ejpam-3069	78	25	.	.	PUNCT
ejpam-3069	79	1	analogously	analogously	ADV
ejpam-3069	79	2	,	,	PUNCT
ejpam-3069	79	3	from	from	ADP
ejpam-3069	79	4	(	(	PUNCT
ejpam-3069	79	5	17	17	NUM
ejpam-3069	79	6	)	)	PUNCT
ejpam-3069	79	7	,	,	PUNCT
ejpam-3069	79	8	by	by	ADP
ejpam-3069	79	9	using	use	VERB
ejpam-3069	79	10	the	the	DET
ejpam-3069	79	11	relations	relation	NOUN
ejpam-3069	79	12	(	(	PUNCT
ejpam-3069	79	13	6	6	NUM
ejpam-3069	79	14	)	)	PUNCT
ejpam-3069	79	15	and	and	CCONJ
ejpam-3069	79	16	(	(	PUNCT
ejpam-3069	79	17	19	19	NUM
ejpam-3069	79	18	)	)	PUNCT
ejpam-3069	79	19	,	,	PUNCT
ejpam-3069	79	20	we	we	PRON
ejpam-3069	79	21	arrive	arrive	VERB
ejpam-3069	79	22	at	at	ADP
ejpam-3069	79	23	the	the	DET
ejpam-3069	79	24	satisfying	satisfying	NOUN
ejpam-3069	79	25	of	of	ADP
ejpam-3069	79	26	(	(	PUNCT
ejpam-3069	79	27	14	14	NUM
ejpam-3069	79	28	)	)	PUNCT
ejpam-3069	79	29	.	.	PUNCT
ejpam-3069	80	1	now	now	ADV
ejpam-3069	80	2	,	,	PUNCT
ejpam-3069	80	3	suppose	suppose	VERB
ejpam-3069	80	4	that	that	SCONJ
ejpam-3069	80	5	{	{	PUNCT
ejpam-3069	80	6	u(x	u(x	PROPN
ejpam-3069	80	7	,	,	PUNCT
ejpam-3069	80	8	t	t	PROPN
ejpam-3069	80	9	)	)	PUNCT
ejpam-3069	80	10	,	,	PUNCT
ejpam-3069	80	11	a(t	a(t	NOUN
ejpam-3069	80	12	)	)	PUNCT
ejpam-3069	80	13	,	,	PUNCT
ejpam-3069	80	14	b(t	b(t	PROPN
ejpam-3069	80	15	)	)	PUNCT
ejpam-3069	80	16	}	}	PUNCT
ejpam-3069	80	17	is	be	AUX
ejpam-3069	80	18	the	the	DET
ejpam-3069	80	19	solution	solution	NOUN
ejpam-3069	80	20	of	of	ADP
ejpam-3069	80	21	(	(	PUNCT
ejpam-3069	80	22	1)-(3	1)-(3	NUM
ejpam-3069	80	23	)	)	PUNCT
ejpam-3069	80	24	,	,	PUNCT
ejpam-3069	80	25	(	(	PUNCT
ejpam-3069	80	26	12)-(14	12)-(14	NUM
ejpam-3069	80	27	)	)	PUNCT
ejpam-3069	80	28	.	.	PUNCT
ejpam-3069	81	1	then	then	ADV
ejpam-3069	81	2	from	from	ADP
ejpam-3069	81	3	(	(	PUNCT
ejpam-3069	81	4	15	15	NUM
ejpam-3069	81	5	)	)	PUNCT
ejpam-3069	81	6	,	,	PUNCT
ejpam-3069	81	7	by	by	ADP
ejpam-3069	81	8	means	mean	NOUN
ejpam-3069	81	9	of	of	ADP
ejpam-3069	81	10	(	(	PUNCT
ejpam-3069	81	11	3	3	NUM
ejpam-3069	81	12	)	)	PUNCT
ejpam-3069	81	13	and	and	CCONJ
ejpam-3069	81	14	(	(	PUNCT
ejpam-3069	81	15	12	12	NUM
ejpam-3069	81	16	)	)	PUNCT
ejpam-3069	81	17	,	,	PUNCT
ejpam-3069	81	18	we	we	PRON
ejpam-3069	81	19	find	find	VERB
ejpam-3069	81	20	c(t	c(t	NOUN
ejpam-3069	81	21	)	)	PUNCT
ejpam-3069	81	22	d	d	NOUN
ejpam-3069	81	23	dt	dt	X
ejpam-3069	82	1	1∫	1∫	NUM
ejpam-3069	82	2	0	0	NUM
ejpam-3069	82	3	u(x	u(x	NOUN
ejpam-3069	82	4	,	,	PUNCT
ejpam-3069	83	1	t)dx	t)dx	PROPN
ejpam-3069	83	2	=	=	SYM
ejpam-3069	83	3	a(t	a(t	NOUN
ejpam-3069	83	4	)	)	PUNCT
ejpam-3069	83	5	1∫	1∫	NUM
ejpam-3069	83	6	0	0	NUM
ejpam-3069	83	7	u(x	u(x	NOUN
ejpam-3069	83	8	,	,	PUNCT
ejpam-3069	83	9	t)dx	t)dx	PROPN
ejpam-3069	83	10	(	(	PUNCT
ejpam-3069	83	11	0	0	NUM
ejpam-3069	83	12	≤	≤	PROPN
ejpam-3069	83	13	t	t	NOUN
ejpam-3069	83	14	≤	≤	PROPN
ejpam-3069	83	15	t	t	PROPN
ejpam-3069	83	16	)	)	PUNCT
ejpam-3069	83	17	.	.	PUNCT
ejpam-3069	84	1	(	(	PUNCT
ejpam-3069	84	2	20	20	NUM
ejpam-3069	84	3	)	)	PUNCT
ejpam-3069	84	4	by	by	ADP
ejpam-3069	84	5	virtue	virtue	NOUN
ejpam-3069	84	6	of	of	ADP
ejpam-3069	84	7	(	(	PUNCT
ejpam-3069	84	8	2	2	NUM
ejpam-3069	84	9	)	)	PUNCT
ejpam-3069	84	10	and	and	CCONJ
ejpam-3069	84	11	(	(	PUNCT
ejpam-3069	84	12	10	10	NUM
ejpam-3069	84	13	)	)	PUNCT
ejpam-3069	84	14	,	,	PUNCT
ejpam-3069	84	15	it	it	PRON
ejpam-3069	84	16	is	be	AUX
ejpam-3069	84	17	not	not	PART
ejpam-3069	84	18	hard	hard	ADJ
ejpam-3069	84	19	to	to	PART
ejpam-3069	84	20	see	see	VERB
ejpam-3069	84	21	that	that	SCONJ
ejpam-3069	84	22	1∫	1∫	NUM
ejpam-3069	84	23	0	0	NUM
ejpam-3069	84	24	u(x	u(x	NOUN
ejpam-3069	84	25	,	,	PUNCT
ejpam-3069	84	26	0)dx+	0)dx+	NOUN
ejpam-3069	84	27	δ	δ	NOUN
ejpam-3069	84	28	1∫	1∫	NUM
ejpam-3069	84	29	0	0	NUM
ejpam-3069	84	30	u(x	u(x	NOUN
ejpam-3069	84	31	,	,	PUNCT
ejpam-3069	84	32	t	t	NOUN
ejpam-3069	84	33	)	)	PUNCT
ejpam-3069	84	34	dx	dx	PROPN
ejpam-3069	85	1	=	=	SYM
ejpam-3069	85	2	1∫	1∫	NUM
ejpam-3069	85	3	0	0	NUM
ejpam-3069	85	4	(	(	PUNCT
ejpam-3069	85	5	u(x	u(x	NOUN
ejpam-3069	85	6	,	,	PUNCT
ejpam-3069	85	7	0	0	NUM
ejpam-3069	85	8	)	)	PUNCT
ejpam-3069	85	9	+	+	NUM
ejpam-3069	85	10	δu(x	δu(x	NOUN
ejpam-3069	85	11	,	,	PUNCT
ejpam-3069	85	12	t	t	NOUN
ejpam-3069	85	13	)	)	PUNCT
ejpam-3069	85	14	)	)	PUNCT
ejpam-3069	85	15	dx	dx	PROPN
ejpam-3069	86	1	=	=	PUNCT
ejpam-3069	87	1	1∫	1∫	NUM
ejpam-3069	87	2	0	0	NUM
ejpam-3069	87	3	ϕ(x)dx	ϕ(x)dx	VERB
ejpam-3069	87	4	=	=	SYM
ejpam-3069	87	5	0	0	PROPN
ejpam-3069	87	6	.	.	PUNCT
ejpam-3069	88	1	(	(	PUNCT
ejpam-3069	88	2	21	21	NUM
ejpam-3069	88	3	)	)	PUNCT
ejpam-3069	88	4	since	since	SCONJ
ejpam-3069	88	5	,	,	PUNCT
ejpam-3069	88	6	by	by	ADP
ejpam-3069	88	7	lemma	lemma	PROPN
ejpam-3069	88	8	1	1	NUM
ejpam-3069	88	9	,	,	PUNCT
ejpam-3069	88	10	the	the	DET
ejpam-3069	88	11	problems	problem	NOUN
ejpam-3069	88	12	(	(	PUNCT
ejpam-3069	88	13	20	20	NUM
ejpam-3069	88	14	)	)	PUNCT
ejpam-3069	88	15	and	and	CCONJ
ejpam-3069	88	16	(	(	PUNCT
ejpam-3069	88	17	21	21	NUM
ejpam-3069	88	18	)	)	PUNCT
ejpam-3069	88	19	has	have	VERB
ejpam-3069	88	20	only	only	ADV
ejpam-3069	88	21	a	a	DET
ejpam-3069	88	22	trivial	trivial	ADJ
ejpam-3069	88	23	solution	solution	NOUN
ejpam-3069	88	24	,	,	PUNCT
ejpam-3069	88	25	it	it	PRON
ejpam-3069	88	26	follows	follow	VERB
ejpam-3069	88	27	that	that	SCONJ
ejpam-3069	88	28	1∫	1∫	NUM
ejpam-3069	88	29	0	0	NUM
ejpam-3069	88	30	u(x	u(x	NOUN
ejpam-3069	88	31	,	,	PUNCT
ejpam-3069	89	1	t)dx	t)dx	PROPN
ejpam-3069	89	2	=	=	SYM
ejpam-3069	89	3	0	0	NUM
ejpam-3069	90	1	(	(	PUNCT
ejpam-3069	90	2	0	0	NUM
ejpam-3069	90	3	≤	≤	PROPN
ejpam-3069	90	4	t	t	PROPN
ejpam-3069	90	5	≤	≤	PROPN
ejpam-3069	90	6	t	t	PROPN
ejpam-3069	90	7	)	)	PUNCT
ejpam-3069	90	8	,	,	PUNCT
ejpam-3069	90	9	e.	e.	PROPN
ejpam-3069	90	10	azizbayov	azizbayov	PROPN
ejpam-3069	90	11	,	,	PUNCT
ejpam-3069	90	12	y.	y.	PROPN
ejpam-3069	90	13	mehraliyev	mehraliyev	PROPN
ejpam-3069	90	14	/	/	SYM
ejpam-3069	90	15	eur	eur	PROPN
ejpam-3069	90	16	.	.	PUNCT
ejpam-3069	91	1	j.	j.	PROPN
ejpam-3069	91	2	pure	pure	PROPN
ejpam-3069	91	3	appl	appl	PROPN
ejpam-3069	91	4	.	.	PROPN
ejpam-3069	91	5	math	math	PROPN
ejpam-3069	91	6	,	,	PUNCT
ejpam-3069	91	7	10	10	NUM
ejpam-3069	91	8	(	(	PUNCT
ejpam-3069	91	9	5	5	NUM
ejpam-3069	91	10	)	)	PUNCT
ejpam-3069	91	11	(	(	PUNCT
ejpam-3069	91	12	2017	2017	NUM
ejpam-3069	91	13	)	)	PUNCT
ejpam-3069	91	14	,	,	PUNCT
ejpam-3069	91	15	981	981	NUM
ejpam-3069	91	16	-	-	SYM
ejpam-3069	91	17	994	994	NUM
ejpam-3069	91	18	985	985	NUM
ejpam-3069	91	19	i.e.	i.e.	X
ejpam-3069	91	20	the	the	DET
ejpam-3069	91	21	condition	condition	NOUN
ejpam-3069	91	22	(	(	PUNCT
ejpam-3069	91	23	4	4	X
ejpam-3069	91	24	)	)	PUNCT
ejpam-3069	91	25	holds	hold	VERB
ejpam-3069	91	26	.	.	PUNCT
ejpam-3069	92	1	moreover	moreover	ADV
ejpam-3069	92	2	,	,	PUNCT
ejpam-3069	92	3	from	from	ADP
ejpam-3069	92	4	(	(	PUNCT
ejpam-3069	92	5	13	13	NUM
ejpam-3069	92	6	)	)	PUNCT
ejpam-3069	92	7	,	,	PUNCT
ejpam-3069	92	8	(	(	PUNCT
ejpam-3069	92	9	14	14	NUM
ejpam-3069	92	10	)	)	PUNCT
ejpam-3069	92	11	,	,	PUNCT
ejpam-3069	92	12	(	(	PUNCT
ejpam-3069	92	13	16	16	NUM
ejpam-3069	92	14	)	)	PUNCT
ejpam-3069	92	15	and	and	CCONJ
ejpam-3069	92	16	(	(	PUNCT
ejpam-3069	92	17	17	17	NUM
ejpam-3069	92	18	)	)	PUNCT
ejpam-3069	92	19	we	we	PRON
ejpam-3069	92	20	find	find	VERB
ejpam-3069	92	21	c(t	c(t	NOUN
ejpam-3069	92	22	)	)	PUNCT
ejpam-3069	93	1	d	d	NOUN
ejpam-3069	93	2	dt	dt	X
ejpam-3069	93	3	(	(	PUNCT
ejpam-3069	93	4	u(0	u(0	PROPN
ejpam-3069	93	5	,	,	PUNCT
ejpam-3069	93	6	t)−	t)−	PROPN
ejpam-3069	93	7	h1(t	h1(t	PROPN
ejpam-3069	93	8	)	)	PUNCT
ejpam-3069	93	9	)	)	PUNCT
ejpam-3069	94	1	=	=	SYM
ejpam-3069	94	2	a(t)(u(0	a(t)(u(0	PROPN
ejpam-3069	94	3	,	,	PUNCT
ejpam-3069	94	4	t)−	t)−	PROPN
ejpam-3069	94	5	h1(t	h1(t	PROPN
ejpam-3069	94	6	)	)	PUNCT
ejpam-3069	94	7	)	)	PUNCT
ejpam-3069	94	8	(	(	PUNCT
ejpam-3069	94	9	0	0	NUM
ejpam-3069	94	10	≤	≤	NUM
ejpam-3069	94	11	t	t	PROPN
ejpam-3069	94	12	≤	≤	PROPN
ejpam-3069	94	13	t	t	PROPN
ejpam-3069	94	14	)	)	PUNCT
ejpam-3069	94	15	,	,	PUNCT
ejpam-3069	94	16	(	(	PUNCT
ejpam-3069	94	17	22	22	X
ejpam-3069	94	18	)	)	PUNCT
ejpam-3069	94	19	c(t	c(t	PROPN
ejpam-3069	94	20	)	)	PUNCT
ejpam-3069	94	21	d	d	NOUN
ejpam-3069	94	22	dt	dt	X
ejpam-3069	95	1	(	(	PUNCT
ejpam-3069	95	2	u(1	u(1	PROPN
ejpam-3069	95	3	,	,	PUNCT
ejpam-3069	95	4	t)−	t)−	PROPN
ejpam-3069	95	5	h2(t	h2(t	PROPN
ejpam-3069	95	6	)	)	PUNCT
ejpam-3069	95	7	)	)	PUNCT
ejpam-3069	96	1	=	=	PUNCT
ejpam-3069	96	2	a(t)(u(1	a(t)(u(1	NOUN
ejpam-3069	96	3	,	,	PUNCT
ejpam-3069	96	4	t)−	t)−	PROPN
ejpam-3069	96	5	h2(t	h2(t	PROPN
ejpam-3069	96	6	)	)	PUNCT
ejpam-3069	96	7	)	)	PUNCT
ejpam-3069	96	8	(	(	PUNCT
ejpam-3069	96	9	0	0	NUM
ejpam-3069	96	10	≤	≤	NUM
ejpam-3069	96	11	t	t	NOUN
ejpam-3069	96	12	≤	≤	PROPN
ejpam-3069	96	13	t	t	PROPN
ejpam-3069	96	14	)	)	PUNCT
ejpam-3069	96	15	.	.	PUNCT
ejpam-3069	97	1	(	(	PUNCT
ejpam-3069	97	2	23	23	X
ejpam-3069	97	3	)	)	PUNCT
ejpam-3069	97	4	using	use	VERB
ejpam-3069	97	5	(	(	PUNCT
ejpam-3069	97	6	2	2	NUM
ejpam-3069	97	7	)	)	PUNCT
ejpam-3069	97	8	and	and	CCONJ
ejpam-3069	97	9	the	the	DET
ejpam-3069	97	10	compatibility	compatibility	NOUN
ejpam-3069	97	11	conditions	condition	NOUN
ejpam-3069	97	12	(	(	PUNCT
ejpam-3069	97	13	11	11	NUM
ejpam-3069	97	14	)	)	PUNCT
ejpam-3069	97	15	we	we	PRON
ejpam-3069	97	16	have	have	VERB
ejpam-3069	97	17	u(0	u(0	PROPN
ejpam-3069	97	18	,	,	PUNCT
ejpam-3069	97	19	0)−	0)−	PUNCT
ejpam-3069	97	20	h1(0	h1(0	PROPN
ejpam-3069	97	21	)	)	PUNCT
ejpam-3069	97	22	+	+	NUM
ejpam-3069	97	23	δ(u(0	δ(u(0	PROPN
ejpam-3069	97	24	,	,	PUNCT
ejpam-3069	97	25	t	t	NOUN
ejpam-3069	97	26	)	)	PUNCT
ejpam-3069	97	27	−	−	PROPN
ejpam-3069	98	1	h1(0	h1(0	PROPN
ejpam-3069	98	2	)	)	PUNCT
ejpam-3069	98	3	)	)	PUNCT
ejpam-3069	99	1	=	=	SYM
ejpam-3069	99	2	(	(	PUNCT
ejpam-3069	99	3	u(0	u(0	PROPN
ejpam-3069	99	4	,	,	PUNCT
ejpam-3069	99	5	0	0	NUM
ejpam-3069	99	6	)	)	PUNCT
ejpam-3069	99	7	+	+	CCONJ
ejpam-3069	100	1	δu(0	δu(0	PROPN
ejpam-3069	100	2	,	,	PUNCT
ejpam-3069	100	3	t	t	NOUN
ejpam-3069	100	4	)	)	PUNCT
ejpam-3069	100	5	)	)	PUNCT
ejpam-3069	101	1	−	−	PROPN
ejpam-3069	101	2	(	(	PUNCT
ejpam-3069	101	3	h1(0	h1(0	PROPN
ejpam-3069	101	4	)	)	PUNCT
ejpam-3069	101	5	+	+	CCONJ
ejpam-3069	101	6	δh1(t	δh1(t	ADJ
ejpam-3069	101	7	)	)	PUNCT
ejpam-3069	101	8	)	)	PUNCT
ejpam-3069	102	1	=	=	SYM
ejpam-3069	102	2	ϕ(0)−	ϕ(0)−	NOUN
ejpam-3069	102	3	(	(	PUNCT
ejpam-3069	102	4	h1(0	h1(0	PROPN
ejpam-3069	102	5	)	)	PUNCT
ejpam-3069	102	6	+	+	CCONJ
ejpam-3069	102	7	δh1(t	δh1(t	ADJ
ejpam-3069	102	8	)	)	PUNCT
ejpam-3069	102	9	)	)	PUNCT
ejpam-3069	103	1	=	=	PUNCT
ejpam-3069	103	2	0	0	NUM
ejpam-3069	103	3	,	,	PUNCT
ejpam-3069	103	4	(	(	PUNCT
ejpam-3069	103	5	24	24	NUM
ejpam-3069	103	6	)	)	PUNCT
ejpam-3069	103	7	u(1	u(1	PROPN
ejpam-3069	103	8	,	,	PUNCT
ejpam-3069	103	9	0)−	0)−	NUM
ejpam-3069	103	10	h1(0	h1(0	PROPN
ejpam-3069	103	11	)	)	PUNCT
ejpam-3069	103	12	+	+	PUNCT
ejpam-3069	104	1	δ(u(1	δ(u(1	NOUN
ejpam-3069	104	2	,	,	PUNCT
ejpam-3069	104	3	t	t	NOUN
ejpam-3069	104	4	)	)	PUNCT
ejpam-3069	104	5	−	−	PROPN
ejpam-3069	104	6	h1(0	h1(0	PROPN
ejpam-3069	104	7	)	)	PUNCT
ejpam-3069	104	8	)	)	PUNCT
ejpam-3069	105	1	=	=	PRON
ejpam-3069	105	2	(	(	PUNCT
ejpam-3069	105	3	u(1	u(1	PROPN
ejpam-3069	105	4	,	,	PUNCT
ejpam-3069	105	5	0	0	NUM
ejpam-3069	105	6	)	)	PUNCT
ejpam-3069	105	7	+	+	CCONJ
ejpam-3069	105	8	δu(1	δu(1	NOUN
ejpam-3069	105	9	,	,	PUNCT
ejpam-3069	105	10	t	t	NOUN
ejpam-3069	105	11	)	)	PUNCT
ejpam-3069	105	12	)	)	PUNCT
ejpam-3069	106	1	−	−	PROPN
ejpam-3069	106	2	(	(	PUNCT
ejpam-3069	106	3	h2(0	h2(0	NOUN
ejpam-3069	106	4	)	)	PUNCT
ejpam-3069	106	5	+	+	CCONJ
ejpam-3069	106	6	δh2(t	δh2(t	PROPN
ejpam-3069	106	7	)	)	PUNCT
ejpam-3069	106	8	)	)	PUNCT
ejpam-3069	107	1	=	=	SYM
ejpam-3069	107	2	ϕ(1)−	ϕ(1)−	PROPN
ejpam-3069	107	3	(	(	PUNCT
ejpam-3069	107	4	h2(0	h2(0	NOUN
ejpam-3069	107	5	)	)	PUNCT
ejpam-3069	108	1	+	+	CCONJ
ejpam-3069	108	2	δh2(t	δh2(t	PROPN
ejpam-3069	108	3	)	)	PUNCT
ejpam-3069	108	4	)	)	PUNCT
ejpam-3069	109	1	=	=	PUNCT
ejpam-3069	109	2	0	0	X
ejpam-3069	109	3	.	.	PUNCT
ejpam-3069	110	1	(	(	PUNCT
ejpam-3069	110	2	25	25	NUM
ejpam-3069	110	3	)	)	PUNCT
ejpam-3069	110	4	from	from	ADP
ejpam-3069	110	5	(	(	PUNCT
ejpam-3069	110	6	22	22	NUM
ejpam-3069	110	7	)	)	PUNCT
ejpam-3069	110	8	,	,	PUNCT
ejpam-3069	110	9	(	(	PUNCT
ejpam-3069	110	10	24	24	NUM
ejpam-3069	110	11	)	)	PUNCT
ejpam-3069	110	12	,	,	PUNCT
ejpam-3069	110	13	and	and	CCONJ
ejpam-3069	110	14	(	(	PUNCT
ejpam-3069	110	15	23),(25	23),(25	NUM
ejpam-3069	110	16	)	)	PUNCT
ejpam-3069	110	17	,	,	PUNCT
ejpam-3069	110	18	by	by	ADP
ejpam-3069	110	19	lemma	lemma	PROPN
ejpam-3069	110	20	1	1	NUM
ejpam-3069	110	21	,	,	PUNCT
ejpam-3069	110	22	we	we	PRON
ejpam-3069	110	23	conclude	conclude	VERB
ejpam-3069	110	24	that	that	SCONJ
ejpam-3069	110	25	conditions	condition	NOUN
ejpam-3069	110	26	(	(	PUNCT
ejpam-3069	110	27	5	5	NUM
ejpam-3069	110	28	)	)	PUNCT
ejpam-3069	110	29	and	and	CCONJ
ejpam-3069	110	30	(	(	PUNCT
ejpam-3069	110	31	6	6	NUM
ejpam-3069	110	32	)	)	PUNCT
ejpam-3069	110	33	are	be	AUX
ejpam-3069	110	34	satisfied	satisfied	ADJ
ejpam-3069	110	35	.	.	PUNCT
ejpam-3069	111	1	the	the	DET
ejpam-3069	111	2	lemma	lemma	PROPN
ejpam-3069	111	3	is	be	AUX
ejpam-3069	111	4	thus	thus	ADV
ejpam-3069	111	5	proved	prove	VERB
ejpam-3069	111	6	.	.	PUNCT
ejpam-3069	112	1	3	3	X
ejpam-3069	112	2	.	.	X
ejpam-3069	112	3	solvability	solvability	NOUN
ejpam-3069	112	4	of	of	ADP
ejpam-3069	112	5	inverse	inverse	ADJ
ejpam-3069	112	6	boundary	boundary	ADJ
ejpam-3069	112	7	-	-	PUNCT
ejpam-3069	112	8	value	value	NOUN
ejpam-3069	112	9	problem	problem	NOUN
ejpam-3069	112	10	since	since	SCONJ
ejpam-3069	112	11	for	for	ADP
ejpam-3069	112	12	λk	λk	PROPN
ejpam-3069	112	13	=	=	PUNCT
ejpam-3069	112	14	kπ	kπ	PROPN
ejpam-3069	112	15	(	(	PUNCT
ejpam-3069	112	16	k	k	NOUN
ejpam-3069	112	17	=	=	SYM
ejpam-3069	112	18	0	0	NUM
ejpam-3069	112	19	,	,	PUNCT
ejpam-3069	112	20	1	1	NUM
ejpam-3069	112	21	,	,	PUNCT
ejpam-3069	112	22	.	.	PUNCT
ejpam-3069	112	23	.	.	PUNCT
ejpam-3069	113	1	.	.	PUNCT
ejpam-3069	113	2	)	)	PUNCT
ejpam-3069	113	3	,	,	PUNCT
ejpam-3069	113	4	the	the	DET
ejpam-3069	113	5	system	system	NOUN
ejpam-3069	113	6	{	{	PUNCT
ejpam-3069	113	7	cosλkx}∞k=0	cosλkx}∞k=0	NOUN
ejpam-3069	113	8	form	form	VERB
ejpam-3069	113	9	an	an	DET
ejpam-3069	113	10	orthogonal	orthogonal	ADJ
ejpam-3069	113	11	system	system	NOUN
ejpam-3069	113	12	in	in	ADP
ejpam-3069	113	13	l2(0	l2(0	NOUN
ejpam-3069	113	14	,	,	PUNCT
ejpam-3069	113	15	1	1	NUM
ejpam-3069	113	16	)	)	PUNCT
ejpam-3069	113	17	.	.	PUNCT
ejpam-3069	114	1	we	we	PRON
ejpam-3069	114	2	’ll	’ll	AUX
ejpam-3069	114	3	seek	seek	VERB
ejpam-3069	114	4	the	the	DET
ejpam-3069	114	5	first	first	ADJ
ejpam-3069	114	6	component	component	NOUN
ejpam-3069	114	7	u(x	u(x	NOUN
ejpam-3069	114	8	,	,	PUNCT
ejpam-3069	114	9	t	t	PROPN
ejpam-3069	114	10	)	)	PUNCT
ejpam-3069	114	11	of	of	ADP
ejpam-3069	114	12	classical	classical	ADJ
ejpam-3069	114	13	solution	solution	NOUN
ejpam-3069	114	14	u(x	u(x	NOUN
ejpam-3069	114	15	,	,	PUNCT
ejpam-3069	114	16	t	t	PROPN
ejpam-3069	114	17	)	)	PUNCT
ejpam-3069	114	18	,	,	PUNCT
ejpam-3069	114	19	a(t	a(t	NOUN
ejpam-3069	114	20	)	)	PUNCT
ejpam-3069	114	21	,	,	PUNCT
ejpam-3069	114	22	b(t	b(t	NOUN
ejpam-3069	114	23	)	)	PUNCT
ejpam-3069	114	24	of	of	ADP
ejpam-3069	114	25	the	the	DET
ejpam-3069	114	26	problem	problem	NOUN
ejpam-3069	114	27	(	(	PUNCT
ejpam-3069	114	28	1)-(3	1)-(3	NOUN
ejpam-3069	114	29	)	)	PUNCT
ejpam-3069	114	30	,	,	PUNCT
ejpam-3069	114	31	(	(	PUNCT
ejpam-3069	114	32	12)-(14	12)-(14	NUM
ejpam-3069	114	33	)	)	PUNCT
ejpam-3069	114	34	in	in	ADP
ejpam-3069	114	35	the	the	DET
ejpam-3069	114	36	form	form	NOUN
ejpam-3069	114	37	u(x	u(x	NOUN
ejpam-3069	114	38	,	,	PUNCT
ejpam-3069	114	39	t	t	NOUN
ejpam-3069	114	40	)	)	PUNCT
ejpam-3069	114	41	=	=	PUNCT
ejpam-3069	115	1	∞∑	∞∑	NUM
ejpam-3069	115	2	k=0	k=0	PROPN
ejpam-3069	115	3	uk(t	uk(t	PUNCT
ejpam-3069	115	4	)	)	PUNCT
ejpam-3069	115	5	cosλkx	cosλkx	NOUN
ejpam-3069	115	6	(	(	PUNCT
ejpam-3069	115	7	λk	λk	X
ejpam-3069	115	8	=	=	SYM
ejpam-3069	115	9	kπ	kπ	PROPN
ejpam-3069	115	10	)	)	PUNCT
ejpam-3069	115	11	,	,	PUNCT
ejpam-3069	115	12	(	(	PUNCT
ejpam-3069	115	13	26	26	NUM
ejpam-3069	115	14	)	)	PUNCT
ejpam-3069	115	15	where	where	SCONJ
ejpam-3069	115	16	uk(t	uk(t	ADP
ejpam-3069	115	17	)	)	PUNCT
ejpam-3069	115	18	=	=	SYM
ejpam-3069	115	19	mk	mk	NOUN
ejpam-3069	116	1	1∫	1∫	NUM
ejpam-3069	116	2	0	0	NUM
ejpam-3069	116	3	u(x	u(x	NOUN
ejpam-3069	116	4	,	,	PUNCT
ejpam-3069	116	5	t	t	PROPN
ejpam-3069	116	6	)	)	PUNCT
ejpam-3069	116	7	cosλkxdx	cosλkxdx	NOUN
ejpam-3069	116	8	(	(	PUNCT
ejpam-3069	116	9	k	k	NOUN
ejpam-3069	116	10	=	=	SYM
ejpam-3069	116	11	0	0	NUM
ejpam-3069	116	12	,	,	PUNCT
ejpam-3069	116	13	1	1	NUM
ejpam-3069	116	14	,	,	PUNCT
ejpam-3069	116	15	2	2	NUM
ejpam-3069	116	16	,	,	PUNCT
ejpam-3069	116	17	...	...	PUNCT
ejpam-3069	116	18	)	)	PUNCT
ejpam-3069	116	19	,	,	PUNCT
ejpam-3069	116	20	and	and	CCONJ
ejpam-3069	116	21	mk	mk	PROPN
ejpam-3069	116	22	=	=	PUNCT
ejpam-3069	116	23	{	{	PUNCT
ejpam-3069	116	24	1	1	NUM
ejpam-3069	116	25	,	,	PUNCT
ejpam-3069	116	26	k	k	NOUN
ejpam-3069	116	27	=	=	SYM
ejpam-3069	116	28	0	0	NUM
ejpam-3069	116	29	,	,	PUNCT
ejpam-3069	116	30	2	2	NUM
ejpam-3069	116	31	,	,	PUNCT
ejpam-3069	116	32	k	k	NOUN
ejpam-3069	116	33	=	=	SYM
ejpam-3069	116	34	1	1	NUM
ejpam-3069	116	35	,	,	PUNCT
ejpam-3069	116	36	2	2	NUM
ejpam-3069	116	37	,	,	PUNCT
ejpam-3069	116	38	....	....	PUNCT
ejpam-3069	116	39	then	then	ADV
ejpam-3069	116	40	applying	apply	VERB
ejpam-3069	116	41	the	the	DET
ejpam-3069	116	42	formal	formal	ADJ
ejpam-3069	116	43	scheme	scheme	NOUN
ejpam-3069	116	44	of	of	ADP
ejpam-3069	116	45	the	the	DET
ejpam-3069	116	46	fourier	fourier	NOUN
ejpam-3069	116	47	method	method	NOUN
ejpam-3069	116	48	,	,	PUNCT
ejpam-3069	116	49	from	from	ADP
ejpam-3069	116	50	(	(	PUNCT
ejpam-3069	116	51	1	1	NUM
ejpam-3069	116	52	)	)	PUNCT
ejpam-3069	116	53	and	and	CCONJ
ejpam-3069	116	54	(	(	PUNCT
ejpam-3069	116	55	2	2	X
ejpam-3069	116	56	)	)	PUNCT
ejpam-3069	116	57	we	we	PRON
ejpam-3069	116	58	obtain	obtain	VERB
ejpam-3069	116	59	c(t)u′0(t	c(t)u′0(t	NOUN
ejpam-3069	116	60	)	)	PUNCT
ejpam-3069	116	61	=	=	SYM
ejpam-3069	116	62	f0(t;u	f0(t;u	PROPN
ejpam-3069	116	63	,	,	PUNCT
ejpam-3069	116	64	a	a	DET
ejpam-3069	116	65	,	,	PUNCT
ejpam-3069	116	66	b	b	NOUN
ejpam-3069	116	67	)	)	PUNCT
ejpam-3069	116	68	(	(	PUNCT
ejpam-3069	116	69	0	0	NUM
ejpam-3069	116	70	≤	≤	PROPN
ejpam-3069	116	71	t	t	PROPN
ejpam-3069	116	72	≤	≤	PROPN
ejpam-3069	116	73	t	t	PROPN
ejpam-3069	116	74	)	)	PUNCT
ejpam-3069	116	75	,	,	PUNCT
ejpam-3069	116	76	(	(	PUNCT
ejpam-3069	116	77	27	27	NUM
ejpam-3069	116	78	)	)	PUNCT
ejpam-3069	116	79	c(t)u′k(t	c(t)u′k(t	NOUN
ejpam-3069	116	80	)	)	PUNCT
ejpam-3069	117	1	+	+	PUNCT
ejpam-3069	117	2	λ2kuk(t	λ2kuk(t	X
ejpam-3069	117	3	)	)	PUNCT
ejpam-3069	117	4	=	=	SYM
ejpam-3069	117	5	fk(t;u	fk(t;u	PROPN
ejpam-3069	117	6	,	,	PUNCT
ejpam-3069	117	7	a	a	DET
ejpam-3069	117	8	,	,	PUNCT
ejpam-3069	117	9	b	b	NOUN
ejpam-3069	117	10	)	)	PUNCT
ejpam-3069	117	11	(	(	PUNCT
ejpam-3069	117	12	k	k	NOUN
ejpam-3069	117	13	=	=	SYM
ejpam-3069	117	14	1	1	NUM
ejpam-3069	117	15	,	,	PUNCT
ejpam-3069	117	16	2	2	NUM
ejpam-3069	117	17	.	.	PUNCT
ejpam-3069	117	18	.	.	PUNCT
ejpam-3069	117	19	.	.	PUNCT
ejpam-3069	118	1	;	;	PUNCT
ejpam-3069	118	2	0	0	NUM
ejpam-3069	118	3	≤	≤	NUM
ejpam-3069	118	4	t	t	X
ejpam-3069	118	5	≤	≤	PROPN
ejpam-3069	118	6	t	t	PROPN
ejpam-3069	118	7	)	)	PUNCT
ejpam-3069	118	8	,	,	PUNCT
ejpam-3069	118	9	(	(	PUNCT
ejpam-3069	118	10	28	28	X
ejpam-3069	118	11	)	)	PUNCT
ejpam-3069	118	12	uk(0	uk(0	PROPN
ejpam-3069	118	13	)	)	PUNCT
ejpam-3069	118	14	+	+	NUM
ejpam-3069	118	15	δuk(t	δuk(t	NOUN
ejpam-3069	118	16	)	)	PUNCT
ejpam-3069	118	17	=	=	SYM
ejpam-3069	119	1	ϕk	ϕk	INTJ
ejpam-3069	120	1	(	(	PUNCT
ejpam-3069	120	2	k	k	NOUN
ejpam-3069	120	3	=	=	SYM
ejpam-3069	120	4	0	0	NUM
ejpam-3069	120	5	,	,	PUNCT
ejpam-3069	120	6	1	1	NUM
ejpam-3069	120	7	,	,	PUNCT
ejpam-3069	120	8	2	2	NUM
ejpam-3069	120	9	.	.	PUNCT
ejpam-3069	120	10	.	.	PUNCT
ejpam-3069	120	11	.	.	PUNCT
ejpam-3069	120	12	)	)	PUNCT
ejpam-3069	121	1	(	(	PUNCT
ejpam-3069	121	2	29	29	NUM
ejpam-3069	121	3	)	)	PUNCT
ejpam-3069	121	4	where	where	SCONJ
ejpam-3069	121	5	fk(t;u	fk(t;u	PROPN
ejpam-3069	121	6	,	,	PUNCT
ejpam-3069	121	7	a	a	DET
ejpam-3069	121	8	,	,	PUNCT
ejpam-3069	121	9	b	b	NOUN
ejpam-3069	121	10	)	)	PUNCT
ejpam-3069	121	11	=	=	SYM
ejpam-3069	121	12	fk(t	fk(t	NOUN
ejpam-3069	121	13	)	)	PUNCT
ejpam-3069	121	14	+	+	CCONJ
ejpam-3069	121	15	b(t)gk(t	b(t)gk(t	NOUN
ejpam-3069	121	16	)	)	PUNCT
ejpam-3069	121	17	+	+	SYM
ejpam-3069	121	18	a(t)uk(t	a(t)uk(t	NOUN
ejpam-3069	121	19	)	)	PUNCT
ejpam-3069	121	20	(	(	PUNCT
ejpam-3069	121	21	k	k	NOUN
ejpam-3069	121	22	=	=	SYM
ejpam-3069	121	23	0	0	NUM
ejpam-3069	121	24	,	,	PUNCT
ejpam-3069	121	25	1	1	NUM
ejpam-3069	121	26	,	,	PUNCT
ejpam-3069	121	27	2	2	NUM
ejpam-3069	121	28	.	.	PUNCT
ejpam-3069	121	29	.	.	PUNCT
ejpam-3069	121	30	.	.	PUNCT
ejpam-3069	121	31	)	)	PUNCT
ejpam-3069	121	32	,	,	PUNCT
ejpam-3069	121	33	e.	e.	PROPN
ejpam-3069	121	34	azizbayov	azizbayov	PROPN
ejpam-3069	121	35	,	,	PUNCT
ejpam-3069	121	36	y.	y.	PROPN
ejpam-3069	121	37	mehraliyev	mehraliyev	PROPN
ejpam-3069	121	38	/	/	SYM
ejpam-3069	121	39	eur	eur	PROPN
ejpam-3069	121	40	.	.	PUNCT
ejpam-3069	122	1	j.	j.	PROPN
ejpam-3069	122	2	pure	pure	PROPN
ejpam-3069	122	3	appl	appl	PROPN
ejpam-3069	122	4	.	.	PROPN
ejpam-3069	122	5	math	math	PROPN
ejpam-3069	122	6	,	,	PUNCT
ejpam-3069	122	7	10	10	NUM
ejpam-3069	122	8	(	(	PUNCT
ejpam-3069	122	9	5	5	NUM
ejpam-3069	122	10	)	)	PUNCT
ejpam-3069	122	11	(	(	PUNCT
ejpam-3069	122	12	2017	2017	NUM
ejpam-3069	122	13	)	)	PUNCT
ejpam-3069	122	14	,	,	PUNCT
ejpam-3069	122	15	981	981	NUM
ejpam-3069	122	16	-	-	SYM
ejpam-3069	122	17	994	994	NUM
ejpam-3069	122	18	986	986	NUM
ejpam-3069	122	19	gk(t	gk(t	NOUN
ejpam-3069	122	20	)	)	PUNCT
ejpam-3069	123	1	=	=	SYM
ejpam-3069	123	2	mk	mk	X
ejpam-3069	124	1	1∫	1∫	NUM
ejpam-3069	124	2	0	0	NUM
ejpam-3069	124	3	g(x	g(x	PROPN
ejpam-3069	124	4	,	,	PUNCT
ejpam-3069	124	5	t	t	PROPN
ejpam-3069	124	6	)	)	PUNCT
ejpam-3069	124	7	cosλkxdx	cosλkxdx	NOUN
ejpam-3069	124	8	(	(	PUNCT
ejpam-3069	124	9	k	k	NOUN
ejpam-3069	124	10	=	=	SYM
ejpam-3069	124	11	0	0	NUM
ejpam-3069	124	12	,	,	PUNCT
ejpam-3069	124	13	1	1	NUM
ejpam-3069	124	14	,	,	PUNCT
ejpam-3069	124	15	2	2	NUM
ejpam-3069	124	16	,	,	PUNCT
ejpam-3069	124	17	.	.	PUNCT
ejpam-3069	124	18	.	.	PUNCT
ejpam-3069	124	19	.	.	PUNCT
ejpam-3069	124	20	)	)	PUNCT
ejpam-3069	124	21	,	,	PUNCT
ejpam-3069	124	22	fk(t	fk(t	NOUN
ejpam-3069	124	23	)	)	PUNCT
ejpam-3069	124	24	=	=	SYM
ejpam-3069	124	25	mk	mk	NOUN
ejpam-3069	124	26	1∫	1∫	NUM
ejpam-3069	124	27	0	0	NUM
ejpam-3069	124	28	f(x	f(x	PROPN
ejpam-3069	124	29	,	,	PUNCT
ejpam-3069	124	30	t	t	PROPN
ejpam-3069	124	31	)	)	PUNCT
ejpam-3069	124	32	cosλkxdx	cosλkxdx	NOUN
ejpam-3069	124	33	(	(	PUNCT
ejpam-3069	124	34	k	k	NOUN
ejpam-3069	124	35	=	=	SYM
ejpam-3069	124	36	0	0	NUM
ejpam-3069	124	37	,	,	PUNCT
ejpam-3069	124	38	1	1	NUM
ejpam-3069	124	39	,	,	PUNCT
ejpam-3069	124	40	2	2	NUM
ejpam-3069	124	41	,	,	PUNCT
ejpam-3069	124	42	.	.	PUNCT
ejpam-3069	124	43	.	.	PUNCT
ejpam-3069	125	1	.	.	PUNCT
ejpam-3069	125	2	)	)	PUNCT
ejpam-3069	126	1	,	,	PUNCT
ejpam-3069	126	2	ϕk	ϕk	NOUN
ejpam-3069	127	1	=	=	SYM
ejpam-3069	127	2	mk	mk	X
ejpam-3069	127	3	1∫	1∫	NUM
ejpam-3069	127	4	0	0	NUM
ejpam-3069	127	5	ϕ(x	ϕ(x	NOUN
ejpam-3069	127	6	)	)	PUNCT
ejpam-3069	127	7	cosλkxdx	cosλkxdx	NOUN
ejpam-3069	127	8	(	(	PUNCT
ejpam-3069	127	9	k	k	NOUN
ejpam-3069	127	10	=	=	SYM
ejpam-3069	127	11	0	0	NUM
ejpam-3069	127	12	,	,	PUNCT
ejpam-3069	127	13	1	1	NUM
ejpam-3069	127	14	,	,	PUNCT
ejpam-3069	127	15	2	2	NUM
ejpam-3069	127	16	,	,	PUNCT
ejpam-3069	127	17	.	.	PUNCT
ejpam-3069	127	18	.	.	PUNCT
ejpam-3069	127	19	.	.	PUNCT
ejpam-3069	127	20	)	)	PUNCT
ejpam-3069	127	21	.	.	PUNCT
ejpam-3069	128	1	solving	solve	VERB
ejpam-3069	128	2	problem	problem	NOUN
ejpam-3069	128	3	(	(	PUNCT
ejpam-3069	128	4	27)-(29	27)-(29	NOUN
ejpam-3069	128	5	)	)	PUNCT
ejpam-3069	128	6	we	we	PRON
ejpam-3069	128	7	get	get	VERB
ejpam-3069	128	8	u0(t	u0(t	NOUN
ejpam-3069	128	9	)	)	PUNCT
ejpam-3069	128	10	=	=	SYM
ejpam-3069	129	1	(	(	PUNCT
ejpam-3069	129	2	1	1	NUM
ejpam-3069	129	3	+	+	CCONJ
ejpam-3069	129	4	δ)−1	δ)−1	ADJ
ejpam-3069	129	5	ϕ0	ϕ0	NOUN
ejpam-3069	129	6	−	−	PROPN
ejpam-3069	129	7	δ	δ	X
ejpam-3069	129	8	t∫	t∫	ADJ
ejpam-3069	129	9	0	0	NUM
ejpam-3069	129	10	1	1	NUM
ejpam-3069	129	11	c(t	c(t	PROPN
ejpam-3069	129	12	)	)	PUNCT
ejpam-3069	129	13	f0(t;u	f0(t;u	PROPN
ejpam-3069	129	14	,	,	PUNCT
ejpam-3069	129	15	a	a	PRON
ejpam-3069	129	16	,	,	PUNCT
ejpam-3069	129	17	b)dt	b)dt	PROPN
ejpam-3069	129	18	+	+	PROPN
ejpam-3069	129	19	t∫	t∫	ADJ
ejpam-3069	129	20	0	0	NUM
ejpam-3069	129	21	1	1	NUM
ejpam-3069	129	22	c(τ	c(τ	PROPN
ejpam-3069	129	23	)	)	PUNCT
ejpam-3069	129	24	f0(τ	f0(τ	X
ejpam-3069	129	25	;	;	PUNCT
ejpam-3069	129	26	u	u	NOUN
ejpam-3069	129	27	,	,	PUNCT
ejpam-3069	129	28	a	a	PRON
ejpam-3069	129	29	,	,	PUNCT
ejpam-3069	129	30	b)dτ	b)dτ	PROPN
ejpam-3069	129	31	,	,	PUNCT
ejpam-3069	129	32	(	(	PUNCT
ejpam-3069	129	33	30	30	NUM
ejpam-3069	129	34	)	)	PUNCT
ejpam-3069	129	35	uk(t	uk(t	PUNCT
ejpam-3069	129	36	)	)	PUNCT
ejpam-3069	130	1	=	=	PUNCT
ejpam-3069	130	2	e	e	X
ejpam-3069	130	3	−	−	PUNCT
ejpam-3069	130	4	t∫	t∫	NOUN
ejpam-3069	130	5	0	0	NUM
ejpam-3069	130	6	λ2k	λ2k	NOUN
ejpam-3069	130	7	c(s	c(	NOUN
ejpam-3069	130	8	)	)	PUNCT
ejpam-3069	130	9	ds	ds	ADP
ejpam-3069	130	10	1	1	NUM
ejpam-3069	130	11	+	+	CCONJ
ejpam-3069	130	12	δe	δe	ADP
ejpam-3069	130	13	−	−	PROPN
ejpam-3069	130	14	t∫	t∫	PROPN
ejpam-3069	130	15	0	0	NUM
ejpam-3069	130	16	λ2	λ2	NOUN
ejpam-3069	130	17	k	k	NOUN
ejpam-3069	130	18	c(s	c(s	X
ejpam-3069	130	19	)	)	PUNCT
ejpam-3069	130	20	ds	ds	NOUN
ejpam-3069	130	21	ϕk	ϕk	ADV
ejpam-3069	130	22	−	−	NOUN
ejpam-3069	130	23	δe	δe	VERB
ejpam-3069	130	24	−	−	PROPN
ejpam-3069	130	25	t∫	t∫	NOUN
ejpam-3069	130	26	0	0	NUM
ejpam-3069	130	27	λ2k	λ2k	NOUN
ejpam-3069	130	28	c(s	c(	NOUN
ejpam-3069	130	29	)	)	PUNCT
ejpam-3069	130	30	ds	ds	ADP
ejpam-3069	130	31	1	1	NUM
ejpam-3069	130	32	+	+	CCONJ
ejpam-3069	130	33	δe	δe	ADP
ejpam-3069	130	34	−	−	PROPN
ejpam-3069	130	35	t∫	t∫	PROPN
ejpam-3069	130	36	0	0	NUM
ejpam-3069	130	37	λ2	λ2	NOUN
ejpam-3069	130	38	k	k	NOUN
ejpam-3069	130	39	c(s	c(s	X
ejpam-3069	130	40	)	)	PUNCT
ejpam-3069	130	41	ds	ds	ADJ
ejpam-3069	130	42	t∫	t∫	NOUN
ejpam-3069	130	43	0	0	NUM
ejpam-3069	130	44	1	1	NUM
ejpam-3069	130	45	c(τ	c(τ	PROPN
ejpam-3069	130	46	)	)	PUNCT
ejpam-3069	130	47	fk(τ	fk(τ	PUNCT
ejpam-3069	130	48	;	;	PUNCT
ejpam-3069	130	49	u	u	NOUN
ejpam-3069	130	50	,	,	PUNCT
ejpam-3069	130	51	a	a	PRON
ejpam-3069	130	52	,	,	PUNCT
ejpam-3069	130	53	b)e	b)e	PRON
ejpam-3069	130	54	−	−	PROPN
ejpam-3069	130	55	t∫	t∫	PROPN
ejpam-3069	130	56	τ	τ	X
ejpam-3069	130	57	λ2k	λ2k	PRON
ejpam-3069	130	58	c(s	c(	NOUN
ejpam-3069	130	59	)	)	PUNCT
ejpam-3069	130	60	ds	ds	ADJ
ejpam-3069	130	61	dτ	dτ	NOUN
ejpam-3069	130	62	+	+	CCONJ
ejpam-3069	130	63	t∫	t∫	ADJ
ejpam-3069	130	64	0	0	NUM
ejpam-3069	130	65	1	1	NUM
ejpam-3069	130	66	c(τ	c(τ	PROPN
ejpam-3069	130	67	)	)	PUNCT
ejpam-3069	130	68	fk(τ	fk(τ	PUNCT
ejpam-3069	130	69	;	;	PUNCT
ejpam-3069	130	70	u	u	NOUN
ejpam-3069	130	71	,	,	PUNCT
ejpam-3069	130	72	a	a	PRON
ejpam-3069	130	73	,	,	PUNCT
ejpam-3069	130	74	b)e	b)e	PRON
ejpam-3069	130	75	−	−	PROPN
ejpam-3069	130	76	t∫	t∫	PROPN
ejpam-3069	130	77	τ	τ	X
ejpam-3069	130	78	λ2k	λ2k	PRON
ejpam-3069	130	79	c(s	c(	NOUN
ejpam-3069	130	80	)	)	PUNCT
ejpam-3069	130	81	ds	ds	ADJ
ejpam-3069	130	82	dτ	dτ	NOUN
ejpam-3069	130	83	(	(	PUNCT
ejpam-3069	130	84	k	k	NOUN
ejpam-3069	130	85	=	=	SYM
ejpam-3069	130	86	1	1	NUM
ejpam-3069	130	87	,	,	PUNCT
ejpam-3069	130	88	2	2	NUM
ejpam-3069	130	89	,	,	PUNCT
ejpam-3069	130	90	.	.	PUNCT
ejpam-3069	130	91	.	.	PUNCT
ejpam-3069	130	92	.	.	PUNCT
ejpam-3069	130	93	)	)	PUNCT
ejpam-3069	130	94	.	.	PUNCT
ejpam-3069	131	1	(	(	PUNCT
ejpam-3069	131	2	31	31	NUM
ejpam-3069	131	3	)	)	PUNCT
ejpam-3069	131	4	after	after	ADP
ejpam-3069	131	5	substituting	substitute	VERB
ejpam-3069	131	6	expressions	expression	NOUN
ejpam-3069	131	7	uk(t	uk(t	PUNCT
ejpam-3069	131	8	)	)	PUNCT
ejpam-3069	131	9	(	(	PUNCT
ejpam-3069	131	10	k	k	NOUN
ejpam-3069	131	11	=	=	SYM
ejpam-3069	131	12	0	0	NUM
ejpam-3069	131	13	,	,	PUNCT
ejpam-3069	131	14	1	1	NUM
ejpam-3069	131	15	,	,	PUNCT
ejpam-3069	131	16	...	...	PUNCT
ejpam-3069	131	17	)	)	PUNCT
ejpam-3069	131	18	in	in	ADP
ejpam-3069	131	19	(	(	PUNCT
ejpam-3069	131	20	26	26	NUM
ejpam-3069	131	21	)	)	PUNCT
ejpam-3069	131	22	,	,	PUNCT
ejpam-3069	131	23	we	we	PRON
ejpam-3069	131	24	have	have	VERB
ejpam-3069	131	25	u(x	u(x	NOUN
ejpam-3069	131	26	,	,	PUNCT
ejpam-3069	131	27	t	t	PROPN
ejpam-3069	131	28	)	)	PUNCT
ejpam-3069	131	29	=	=	PUNCT
ejpam-3069	132	1	(	(	PUNCT
ejpam-3069	132	2	1	1	NUM
ejpam-3069	132	3	+	+	CCONJ
ejpam-3069	132	4	δ)−1	δ)−1	ADJ
ejpam-3069	132	5	ϕ0	ϕ0	NOUN
ejpam-3069	132	6	−	−	PROPN
ejpam-3069	132	7	δ	δ	X
ejpam-3069	132	8	t∫	t∫	ADJ
ejpam-3069	132	9	0	0	NUM
ejpam-3069	132	10	1	1	NUM
ejpam-3069	132	11	c(t	c(t	PROPN
ejpam-3069	132	12	)	)	PUNCT
ejpam-3069	132	13	f0(t;u	f0(t;u	PROPN
ejpam-3069	132	14	,	,	PUNCT
ejpam-3069	132	15	a	a	PRON
ejpam-3069	132	16	,	,	PUNCT
ejpam-3069	132	17	b)dt	b)dt	PROPN
ejpam-3069	132	18	+	+	PROPN
ejpam-3069	132	19	t∫	t∫	ADJ
ejpam-3069	132	20	0	0	NUM
ejpam-3069	132	21	1	1	NUM
ejpam-3069	132	22	c(τ	c(τ	PROPN
ejpam-3069	132	23	)	)	PUNCT
ejpam-3069	132	24	f0(τ	f0(τ	X
ejpam-3069	132	25	;	;	PUNCT
ejpam-3069	132	26	u	u	NOUN
ejpam-3069	132	27	,	,	PUNCT
ejpam-3069	132	28	a	a	PRON
ejpam-3069	132	29	,	,	PUNCT
ejpam-3069	132	30	b)dτ	b)dτ	PROPN
ejpam-3069	132	31	+	+	ADP
ejpam-3069	132	32	∞∑	∞∑	NUM
ejpam-3069	132	33	k=1	k=1	SYM
ejpam-3069	132	34			PUNCT
ejpam-3069	132	35	e	e	X
ejpam-3069	132	36	−	−	X
ejpam-3069	132	37	t∫	t∫	NOUN
ejpam-3069	132	38	0	0	NUM
ejpam-3069	132	39	λ2k	λ2k	NOUN
ejpam-3069	132	40	c(s	c(	NOUN
ejpam-3069	132	41	)	)	PUNCT
ejpam-3069	132	42	ds	ds	ADP
ejpam-3069	132	43	1	1	NUM
ejpam-3069	132	44	+	+	CCONJ
ejpam-3069	132	45	δe	δe	ADP
ejpam-3069	132	46	−	−	PROPN
ejpam-3069	132	47	t∫	t∫	PROPN
ejpam-3069	132	48	0	0	NUM
ejpam-3069	132	49	λ2	λ2	NOUN
ejpam-3069	132	50	k	k	NOUN
ejpam-3069	132	51	c(s	c(s	X
ejpam-3069	132	52	)	)	PUNCT
ejpam-3069	132	53	ds	ds	NOUN
ejpam-3069	132	54	ϕk	ϕk	ADV
ejpam-3069	132	55	−	−	NOUN
ejpam-3069	132	56	δe	δe	VERB
ejpam-3069	132	57	−	−	PROPN
ejpam-3069	132	58	t∫	t∫	NOUN
ejpam-3069	132	59	0	0	NUM
ejpam-3069	132	60	λ2k	λ2k	NOUN
ejpam-3069	132	61	c(s	c(	NOUN
ejpam-3069	132	62	)	)	PUNCT
ejpam-3069	132	63	ds	ds	ADP
ejpam-3069	132	64	1	1	NUM
ejpam-3069	132	65	+	+	CCONJ
ejpam-3069	132	66	δe	δe	ADP
ejpam-3069	132	67	−	−	PROPN
ejpam-3069	132	68	t∫	t∫	PROPN
ejpam-3069	132	69	0	0	NUM
ejpam-3069	132	70	λ2	λ2	NOUN
ejpam-3069	132	71	k	k	NOUN
ejpam-3069	132	72	c(s	c(s	X
ejpam-3069	132	73	)	)	PUNCT
ejpam-3069	132	74	ds	ds	ADJ
ejpam-3069	132	75	t∫	t∫	NOUN
ejpam-3069	132	76	0	0	NUM
ejpam-3069	132	77	1	1	NUM
ejpam-3069	132	78	c(τ	c(τ	PROPN
ejpam-3069	132	79	)	)	PUNCT
ejpam-3069	132	80	fk(τ	fk(τ	PUNCT
ejpam-3069	132	81	;	;	PUNCT
ejpam-3069	132	82	u	u	NOUN
ejpam-3069	132	83	,	,	PUNCT
ejpam-3069	132	84	a	a	PRON
ejpam-3069	132	85	,	,	PUNCT
ejpam-3069	132	86	b)e	b)e	PRON
ejpam-3069	132	87	−	−	PROPN
ejpam-3069	133	1	t∫	t∫	PROPN
ejpam-3069	133	2	τ	τ	X
ejpam-3069	133	3	λ2k	λ2k	PRON
ejpam-3069	133	4	c(s	c(	NOUN
ejpam-3069	133	5	)	)	PUNCT
ejpam-3069	133	6	ds	ds	ADJ
ejpam-3069	133	7	dτ	dτ	NOUN
ejpam-3069	133	8	+	+	CCONJ
ejpam-3069	133	9	t∫	t∫	ADJ
ejpam-3069	133	10	0	0	NUM
ejpam-3069	133	11	1	1	NUM
ejpam-3069	133	12	c(τ	c(τ	PROPN
ejpam-3069	133	13	)	)	PUNCT
ejpam-3069	133	14	fk(τ	fk(τ	PUNCT
ejpam-3069	133	15	;	;	PUNCT
ejpam-3069	133	16	u	u	NOUN
ejpam-3069	133	17	,	,	PUNCT
ejpam-3069	133	18	a	a	PRON
ejpam-3069	133	19	,	,	PUNCT
ejpam-3069	133	20	b)e	b)e	PRON
ejpam-3069	133	21	−	−	PROPN
ejpam-3069	133	22	t∫	t∫	PROPN
ejpam-3069	133	23	τ	τ	X
ejpam-3069	133	24	λ2k	λ2k	PRON
ejpam-3069	133	25	c(s	c(	NOUN
ejpam-3069	133	26	)	)	PUNCT
ejpam-3069	133	27	ds	ds	ADJ
ejpam-3069	133	28	dτ	dτ	NOUN
ejpam-3069	133	29			PROPN
ejpam-3069	133	30	cosλkx	cosλkx	NOUN
ejpam-3069	133	31	.	.	PUNCT
ejpam-3069	134	1	(	(	PUNCT
ejpam-3069	134	2	32	32	NUM
ejpam-3069	134	3	)	)	PUNCT
ejpam-3069	134	4	now	now	ADV
ejpam-3069	134	5	,	,	PUNCT
ejpam-3069	134	6	using	use	VERB
ejpam-3069	134	7	(	(	PUNCT
ejpam-3069	134	8	26	26	NUM
ejpam-3069	134	9	)	)	PUNCT
ejpam-3069	134	10	,	,	PUNCT
ejpam-3069	134	11	from	from	ADP
ejpam-3069	134	12	(	(	PUNCT
ejpam-3069	134	13	13	13	NUM
ejpam-3069	134	14	)	)	PUNCT
ejpam-3069	134	15	and	and	CCONJ
ejpam-3069	134	16	(	(	PUNCT
ejpam-3069	134	17	14	14	NUM
ejpam-3069	134	18	)	)	PUNCT
ejpam-3069	134	19	we	we	PRON
ejpam-3069	134	20	find	find	VERB
ejpam-3069	134	21	a(t	a(t	NOUN
ejpam-3069	134	22	)	)	PUNCT
ejpam-3069	134	23	=	=	PUNCT
ejpam-3069	135	1	[	[	X
ejpam-3069	135	2	h(t)]−1{(c(t)h′1(t)−	h(t)]−1{(c(t)h′1(t)−	PROPN
ejpam-3069	135	3	f(0	f(0	PROPN
ejpam-3069	135	4	,	,	PUNCT
ejpam-3069	135	5	t))g(1	t))g(1	NOUN
ejpam-3069	135	6	,	,	PUNCT
ejpam-3069	135	7	t)−	t)−	PROPN
ejpam-3069	135	8	(	(	PUNCT
ejpam-3069	135	9	c(t)h′2(t)−	c(t)h′2(t)−	PROPN
ejpam-3069	135	10	f(1	f(1	PROPN
ejpam-3069	135	11	,	,	PUNCT
ejpam-3069	135	12	t))g(0	t))g(0	NOUN
ejpam-3069	135	13	,	,	PUNCT
ejpam-3069	135	14	t	t	PROPN
ejpam-3069	135	15	)	)	PUNCT
ejpam-3069	135	16	+	+	CCONJ
ejpam-3069	135	17	∞∑	∞∑	NUM
ejpam-3069	135	18	k=1	k=1	X
ejpam-3069	135	19	λ2kuk(t)(g(1	λ2kuk(t)(g(1	ADP
ejpam-3069	135	20	,	,	PUNCT
ejpam-3069	135	21	t)−	t)−	PROPN
ejpam-3069	135	22	(	(	PUNCT
ejpam-3069	135	23	−1)kg(0	−1)kg(0	PROPN
ejpam-3069	135	24	,	,	PUNCT
ejpam-3069	135	25	t	t	PROPN
ejpam-3069	135	26	)	)	PUNCT
ejpam-3069	135	27	)	)	PUNCT
ejpam-3069	135	28	}	}	PUNCT
ejpam-3069	135	29	,	,	PUNCT
ejpam-3069	135	30	(	(	PUNCT
ejpam-3069	135	31	33	33	NUM
ejpam-3069	135	32	)	)	PUNCT
ejpam-3069	135	33	e.	e.	PROPN
ejpam-3069	135	34	azizbayov	azizbayov	PROPN
ejpam-3069	135	35	,	,	PUNCT
ejpam-3069	135	36	y.	y.	PROPN
ejpam-3069	135	37	mehraliyev	mehraliyev	PROPN
ejpam-3069	135	38	/	/	SYM
ejpam-3069	135	39	eur	eur	PROPN
ejpam-3069	135	40	.	.	PUNCT
ejpam-3069	136	1	j.	j.	PROPN
ejpam-3069	136	2	pure	pure	PROPN
ejpam-3069	136	3	appl	appl	PROPN
ejpam-3069	136	4	.	.	PROPN
ejpam-3069	136	5	math	math	PROPN
ejpam-3069	136	6	,	,	PUNCT
ejpam-3069	136	7	10	10	NUM
ejpam-3069	136	8	(	(	PUNCT
ejpam-3069	136	9	5	5	NUM
ejpam-3069	136	10	)	)	PUNCT
ejpam-3069	136	11	(	(	PUNCT
ejpam-3069	136	12	2017	2017	NUM
ejpam-3069	136	13	)	)	PUNCT
ejpam-3069	136	14	,	,	PUNCT
ejpam-3069	136	15	981	981	NUM
ejpam-3069	136	16	-	-	SYM
ejpam-3069	136	17	994	994	NUM
ejpam-3069	136	18	987	987	NUM
ejpam-3069	136	19	b(t	b(t	NOUN
ejpam-3069	136	20	)	)	PUNCT
ejpam-3069	136	21	=	=	PUNCT
ejpam-3069	137	1	[	[	X
ejpam-3069	137	2	h(t)]−1{h1(t)(c(t)h′2(t)−	h(t)]−1{h1(t)(c(t)h′2(t)−	PROPN
ejpam-3069	137	3	f(1	f(1	PROPN
ejpam-3069	137	4	,	,	PUNCT
ejpam-3069	137	5	t))−	t))−	NOUN
ejpam-3069	137	6	h2(t)(c(t)h′1(t)−	h2(t)(c(t)h′1(t)−	PROPN
ejpam-3069	137	7	f(0	f(0	PROPN
ejpam-3069	137	8	,	,	PUNCT
ejpam-3069	137	9	t	t	PROPN
ejpam-3069	137	10	)	)	PUNCT
ejpam-3069	137	11	)	)	PUNCT
ejpam-3069	138	1	+	+	CCONJ
ejpam-3069	138	2	∞∑	∞∑	NUM
ejpam-3069	138	3	k=1	k=1	X
ejpam-3069	138	4	λ2kuk(t)((−1)kh1(t)−	λ2kuk(t)((−1)kh1(t)−	PROPN
ejpam-3069	138	5	h2(t	h2(t	PROPN
ejpam-3069	138	6	)	)	PUNCT
ejpam-3069	138	7	)	)	PUNCT
ejpam-3069	138	8	}	}	PUNCT
ejpam-3069	138	9	,	,	PUNCT
ejpam-3069	138	10	(	(	PUNCT
ejpam-3069	138	11	34	34	NUM
ejpam-3069	138	12	)	)	PUNCT
ejpam-3069	138	13	where	where	SCONJ
ejpam-3069	138	14	h(t	h(t	PROPN
ejpam-3069	138	15	)	)	PUNCT
ejpam-3069	138	16	≡	≡	PROPN
ejpam-3069	138	17	h1(t)g(1	h1(t)g(1	NUM
ejpam-3069	138	18	,	,	PUNCT
ejpam-3069	138	19	t)−	t)−	PROPN
ejpam-3069	138	20	h2(t)g(0	h2(t)g(0	NOUN
ejpam-3069	138	21	,	,	PUNCT
ejpam-3069	138	22	t	t	PROPN
ejpam-3069	138	23	)	)	PUNCT
ejpam-3069	138	24	6=	6=	ADP
ejpam-3069	138	25	0	0	NUM
ejpam-3069	138	26	(	(	PUNCT
ejpam-3069	138	27	0	0	NUM
ejpam-3069	138	28	≤	≤	PROPN
ejpam-3069	138	29	t	t	NOUN
ejpam-3069	138	30	≤	≤	PROPN
ejpam-3069	138	31	t	t	PROPN
ejpam-3069	138	32	)	)	PUNCT
ejpam-3069	138	33	.	.	PUNCT
ejpam-3069	139	1	(	(	PUNCT
ejpam-3069	139	2	35	35	NUM
ejpam-3069	139	3	)	)	PUNCT
ejpam-3069	139	4	putting	put	VERB
ejpam-3069	139	5	the	the	DET
ejpam-3069	139	6	expression	expression	NOUN
ejpam-3069	139	7	of	of	ADP
ejpam-3069	139	8	(	(	PUNCT
ejpam-3069	139	9	31	31	NUM
ejpam-3069	139	10	)	)	PUNCT
ejpam-3069	139	11	in	in	ADP
ejpam-3069	139	12	(	(	PUNCT
ejpam-3069	139	13	33	33	NUM
ejpam-3069	139	14	)	)	PUNCT
ejpam-3069	139	15	and	and	CCONJ
ejpam-3069	139	16	(	(	PUNCT
ejpam-3069	139	17	34	34	NUM
ejpam-3069	139	18	)	)	PUNCT
ejpam-3069	139	19	we	we	PRON
ejpam-3069	139	20	obtain	obtain	VERB
ejpam-3069	139	21	a(t	a(t	NOUN
ejpam-3069	139	22	)	)	PUNCT
ejpam-3069	140	1	=	=	PUNCT
ejpam-3069	141	1	[	[	X
ejpam-3069	141	2	h(t)]−1{(c(t)h′1(t)−	h(t)]−1{(c(t)h′1(t)−	PROPN
ejpam-3069	141	3	f(0	f(0	PROPN
ejpam-3069	141	4	,	,	PUNCT
ejpam-3069	141	5	t))g(1	t))g(1	NOUN
ejpam-3069	141	6	,	,	PUNCT
ejpam-3069	141	7	t)−	t)−	PROPN
ejpam-3069	141	8	(	(	PUNCT
ejpam-3069	141	9	c(t)h′2(t)−	c(t)h′2(t)−	PROPN
ejpam-3069	141	10	f(1	f(1	PROPN
ejpam-3069	141	11	,	,	PUNCT
ejpam-3069	141	12	t))g(0	t))g(0	NOUN
ejpam-3069	141	13	,	,	PUNCT
ejpam-3069	141	14	t	t	PROPN
ejpam-3069	141	15	)	)	PUNCT
ejpam-3069	142	1	+	+	CCONJ
ejpam-3069	143	1	∞∑	∞∑	NUM
ejpam-3069	143	2	k=1	k=1	PUNCT
ejpam-3069	143	3	λ2k	λ2k	NOUN
ejpam-3069	143	4			NOUN
ejpam-3069	143	5	e	e	NOUN
ejpam-3069	143	6	−	−	PROPN
ejpam-3069	143	7	t∫	t∫	NOUN
ejpam-3069	143	8	0	0	NUM
ejpam-3069	143	9	λ2k	λ2k	NOUN
ejpam-3069	143	10	c(s	c(	NOUN
ejpam-3069	143	11	)	)	PUNCT
ejpam-3069	143	12	ds	ds	ADP
ejpam-3069	143	13	1	1	NUM
ejpam-3069	143	14	+	+	CCONJ
ejpam-3069	143	15	δe	δe	ADP
ejpam-3069	143	16	−	−	PROPN
ejpam-3069	143	17	t∫	t∫	PROPN
ejpam-3069	143	18	0	0	NUM
ejpam-3069	143	19	λ2	λ2	NOUN
ejpam-3069	143	20	k	k	NOUN
ejpam-3069	143	21	c(s	c(s	X
ejpam-3069	143	22	)	)	PUNCT
ejpam-3069	143	23	ds	ds	NOUN
ejpam-3069	143	24	ϕk	ϕk	ADV
ejpam-3069	143	25	−	−	NOUN
ejpam-3069	143	26	δe	δe	VERB
ejpam-3069	143	27	−	−	PROPN
ejpam-3069	143	28	t∫	t∫	NOUN
ejpam-3069	143	29	0	0	NUM
ejpam-3069	143	30	λ2k	λ2k	NOUN
ejpam-3069	143	31	c(s	c(	NOUN
ejpam-3069	143	32	)	)	PUNCT
ejpam-3069	143	33	ds	ds	ADP
ejpam-3069	143	34	1	1	NUM
ejpam-3069	143	35	+	+	CCONJ
ejpam-3069	143	36	δe	δe	ADP
ejpam-3069	143	37	−	−	PROPN
ejpam-3069	143	38	t∫	t∫	PROPN
ejpam-3069	143	39	0	0	NUM
ejpam-3069	143	40	λ2	λ2	NOUN
ejpam-3069	143	41	k	k	NOUN
ejpam-3069	143	42	c(s	c(s	X
ejpam-3069	143	43	)	)	PUNCT
ejpam-3069	143	44	ds	ds	ADJ
ejpam-3069	143	45	t∫	t∫	NOUN
ejpam-3069	143	46	0	0	NUM
ejpam-3069	143	47	1	1	NUM
ejpam-3069	143	48	c(τ	c(τ	PROPN
ejpam-3069	143	49	)	)	PUNCT
ejpam-3069	143	50	fk(τ	fk(τ	PUNCT
ejpam-3069	143	51	;	;	PUNCT
ejpam-3069	144	1	u	u	NOUN
ejpam-3069	144	2	,	,	PUNCT
ejpam-3069	144	3	a	a	PRON
ejpam-3069	144	4	,	,	PUNCT
ejpam-3069	144	5	b)e	b)e	PRON
ejpam-3069	144	6	−	−	PROPN
ejpam-3069	144	7	t∫	t∫	PROPN
ejpam-3069	144	8	τ	τ	X
ejpam-3069	144	9	λ2k	λ2k	PRON
ejpam-3069	144	10	c(s	c(	NOUN
ejpam-3069	144	11	)	)	PUNCT
ejpam-3069	144	12	ds	ds	ADJ
ejpam-3069	144	13	dτ	dτ	NOUN
ejpam-3069	144	14	+	+	CCONJ
ejpam-3069	144	15	t∫	t∫	ADJ
ejpam-3069	144	16	0	0	NUM
ejpam-3069	144	17	1	1	NUM
ejpam-3069	144	18	c(τ	c(τ	PROPN
ejpam-3069	144	19	)	)	PUNCT
ejpam-3069	144	20	fk(τ	fk(τ	PUNCT
ejpam-3069	144	21	;	;	PUNCT
ejpam-3069	144	22	u	u	NOUN
ejpam-3069	144	23	,	,	PUNCT
ejpam-3069	144	24	a	a	PRON
ejpam-3069	144	25	,	,	PUNCT
ejpam-3069	144	26	b)e	b)e	PRON
ejpam-3069	144	27	−	−	PROPN
ejpam-3069	144	28	t∫	t∫	PROPN
ejpam-3069	144	29	τ	τ	X
ejpam-3069	144	30	λ2k	λ2k	PRON
ejpam-3069	144	31	c(s	c(	NOUN
ejpam-3069	144	32	)	)	PUNCT
ejpam-3069	144	33	ds	ds	ADJ
ejpam-3069	144	34	dτ	dτ	NOUN
ejpam-3069	144	35			NOUN
ejpam-3069	144	36	(	(	PUNCT
ejpam-3069	144	37	g(1	g(1	NOUN
ejpam-3069	144	38	,	,	PUNCT
ejpam-3069	144	39	t)−	t)−	PROPN
ejpam-3069	144	40	(	(	PUNCT
ejpam-3069	144	41	−1)kg(0	−1)kg(0	PROPN
ejpam-3069	144	42	,	,	PUNCT
ejpam-3069	144	43	t	t	PROPN
ejpam-3069	144	44	)	)	PUNCT
ejpam-3069	144	45	)	)	PUNCT
ejpam-3069	144	46	,	,	PUNCT
ejpam-3069	144	47	(	(	PUNCT
ejpam-3069	144	48	36	36	NUM
ejpam-3069	144	49	)	)	PUNCT
ejpam-3069	144	50	b(t	b(t	NOUN
ejpam-3069	144	51	)	)	PUNCT
ejpam-3069	144	52	=	=	PUNCT
ejpam-3069	145	1	[	[	X
ejpam-3069	145	2	h(t)]−1{h1(t)(c(t)h′2(t)−	h(t)]−1{h1(t)(c(t)h′2(t)−	PROPN
ejpam-3069	145	3	f(1	f(1	PROPN
ejpam-3069	145	4	,	,	PUNCT
ejpam-3069	145	5	t))−	t))−	NOUN
ejpam-3069	145	6	h2(t)(c(t)h′1(t)−	h2(t)(c(t)h′1(t)−	PROPN
ejpam-3069	145	7	f(0	f(0	PROPN
ejpam-3069	145	8	,	,	PUNCT
ejpam-3069	145	9	t	t	PROPN
ejpam-3069	145	10	)	)	PUNCT
ejpam-3069	145	11	)	)	PUNCT
ejpam-3069	146	1	+	+	CCONJ
ejpam-3069	147	1	∞∑	∞∑	NUM
ejpam-3069	147	2	k=1	k=1	PUNCT
ejpam-3069	147	3	λ2k	λ2k	NOUN
ejpam-3069	147	4			NOUN
ejpam-3069	147	5	e	e	NOUN
ejpam-3069	147	6	−	−	PROPN
ejpam-3069	147	7	t∫	t∫	NOUN
ejpam-3069	147	8	0	0	NUM
ejpam-3069	147	9	λ2k	λ2k	NOUN
ejpam-3069	147	10	c(s	c(	NOUN
ejpam-3069	147	11	)	)	PUNCT
ejpam-3069	147	12	ds	ds	ADP
ejpam-3069	147	13	1	1	NUM
ejpam-3069	147	14	+	+	CCONJ
ejpam-3069	147	15	δe	δe	ADP
ejpam-3069	147	16	−	−	PROPN
ejpam-3069	147	17	t∫	t∫	PROPN
ejpam-3069	147	18	0	0	NUM
ejpam-3069	147	19	λ2	λ2	NOUN
ejpam-3069	147	20	k	k	NOUN
ejpam-3069	147	21	c(s	c(s	X
ejpam-3069	147	22	)	)	PUNCT
ejpam-3069	147	23	ds	ds	NOUN
ejpam-3069	147	24	ϕk	ϕk	ADV
ejpam-3069	147	25	−	−	NOUN
ejpam-3069	147	26	δe	δe	VERB
ejpam-3069	147	27	−	−	PROPN
ejpam-3069	147	28	t∫	t∫	NOUN
ejpam-3069	147	29	0	0	NUM
ejpam-3069	147	30	λ2k	λ2k	NOUN
ejpam-3069	147	31	c(s	c(	NOUN
ejpam-3069	147	32	)	)	PUNCT
ejpam-3069	147	33	ds	ds	ADP
ejpam-3069	147	34	1	1	NUM
ejpam-3069	147	35	+	+	CCONJ
ejpam-3069	147	36	δe	δe	ADP
ejpam-3069	147	37	−	−	PROPN
ejpam-3069	147	38	t∫	t∫	PROPN
ejpam-3069	147	39	0	0	NUM
ejpam-3069	147	40	λ2	λ2	NOUN
ejpam-3069	147	41	k	k	NOUN
ejpam-3069	147	42	c(s	c(s	X
ejpam-3069	147	43	)	)	PUNCT
ejpam-3069	147	44	ds	ds	ADJ
ejpam-3069	147	45	t∫	t∫	NOUN
ejpam-3069	147	46	0	0	NUM
ejpam-3069	147	47	1	1	NUM
ejpam-3069	147	48	c(τ	c(τ	PROPN
ejpam-3069	147	49	)	)	PUNCT
ejpam-3069	147	50	fk(τ	fk(τ	PUNCT
ejpam-3069	147	51	;	;	PUNCT
ejpam-3069	148	1	u	u	NOUN
ejpam-3069	148	2	,	,	PUNCT
ejpam-3069	148	3	a	a	PRON
ejpam-3069	148	4	,	,	PUNCT
ejpam-3069	148	5	b)e	b)e	PRON
ejpam-3069	148	6	−	−	PROPN
ejpam-3069	148	7	t∫	t∫	PROPN
ejpam-3069	148	8	τ	τ	X
ejpam-3069	148	9	λ2k	λ2k	PRON
ejpam-3069	148	10	c(s	c(	NOUN
ejpam-3069	148	11	)	)	PUNCT
ejpam-3069	148	12	ds	ds	ADJ
ejpam-3069	148	13	dτ	dτ	NOUN
ejpam-3069	148	14	+	+	CCONJ
ejpam-3069	148	15	t∫	t∫	ADJ
ejpam-3069	148	16	0	0	NUM
ejpam-3069	148	17	1	1	NUM
ejpam-3069	148	18	c(τ	c(τ	PROPN
ejpam-3069	148	19	)	)	PUNCT
ejpam-3069	148	20	fk(τ	fk(τ	PUNCT
ejpam-3069	148	21	;	;	PUNCT
ejpam-3069	148	22	u	u	NOUN
ejpam-3069	148	23	,	,	PUNCT
ejpam-3069	148	24	a	a	PRON
ejpam-3069	148	25	,	,	PUNCT
ejpam-3069	148	26	b)e	b)e	PRON
ejpam-3069	148	27	−	−	PROPN
ejpam-3069	148	28	t∫	t∫	PROPN
ejpam-3069	148	29	τ	τ	X
ejpam-3069	148	30	λ2k	λ2k	PRON
ejpam-3069	148	31	c(s	c(	NOUN
ejpam-3069	148	32	)	)	PUNCT
ejpam-3069	148	33	ds	ds	ADJ
ejpam-3069	148	34	dτ	dτ	NOUN
ejpam-3069	148	35			NOUN
ejpam-3069	148	36	(	(	PUNCT
ejpam-3069	148	37	(	(	PUNCT
ejpam-3069	148	38	−1)kh1(t)−	−1)kh1(t)−	PROPN
ejpam-3069	148	39	h2(t	h2(t	PROPN
ejpam-3069	148	40	)	)	PUNCT
ejpam-3069	148	41	)	)	PUNCT
ejpam-3069	148	42	.	.	PUNCT
ejpam-3069	149	1	(	(	PUNCT
ejpam-3069	149	2	37	37	NUM
ejpam-3069	149	3	)	)	PUNCT
ejpam-3069	149	4	analogously	analogously	ADV
ejpam-3069	149	5	[	[	X
ejpam-3069	149	6	10	10	NUM
ejpam-3069	149	7	]	]	PUNCT
ejpam-3069	149	8	,	,	PUNCT
ejpam-3069	149	9	the	the	DET
ejpam-3069	149	10	following	follow	VERB
ejpam-3069	149	11	lemma	lemma	PROPN
ejpam-3069	149	12	was	be	AUX
ejpam-3069	149	13	proved	prove	VERB
ejpam-3069	149	14	.	.	PUNCT
ejpam-3069	150	1	lemma	lemma	PROPN
ejpam-3069	150	2	2	2	X
ejpam-3069	150	3	.	.	PUNCT
ejpam-3069	151	1	let	let	AUX
ejpam-3069	151	2	{	{	PUNCT
ejpam-3069	151	3	u(x	u(x	PROPN
ejpam-3069	151	4	,	,	PUNCT
ejpam-3069	151	5	t	t	PROPN
ejpam-3069	151	6	)	)	PUNCT
ejpam-3069	151	7	,	,	PUNCT
ejpam-3069	151	8	a(t	a(t	NOUN
ejpam-3069	151	9	)	)	PUNCT
ejpam-3069	151	10	,	,	PUNCT
ejpam-3069	151	11	b(t	b(t	PROPN
ejpam-3069	151	12	)	)	PUNCT
ejpam-3069	151	13	}	}	PUNCT
ejpam-3069	151	14	be	be	AUX
ejpam-3069	151	15	an	an	DET
ejpam-3069	151	16	arbitrary	arbitrary	ADJ
ejpam-3069	151	17	solution	solution	NOUN
ejpam-3069	151	18	of	of	ADP
ejpam-3069	151	19	(	(	PUNCT
ejpam-3069	151	20	1)-(3	1)-(3	NUM
ejpam-3069	151	21	)	)	PUNCT
ejpam-3069	151	22	,	,	PUNCT
ejpam-3069	151	23	(	(	PUNCT
ejpam-3069	151	24	12)-(14	12)-(14	NOUN
ejpam-3069	151	25	)	)	PUNCT
ejpam-3069	151	26	,	,	PUNCT
ejpam-3069	151	27	then	then	ADV
ejpam-3069	151	28	the	the	DET
ejpam-3069	151	29	functions	function	NOUN
ejpam-3069	151	30	uk(t	uk(t	PUNCT
ejpam-3069	151	31	)	)	PUNCT
ejpam-3069	152	1	=	=	SYM
ejpam-3069	152	2	mk	mk	NOUN
ejpam-3069	152	3	1∫	1∫	NUM
ejpam-3069	152	4	0	0	NUM
ejpam-3069	152	5	u(x	u(x	NOUN
ejpam-3069	152	6	,	,	PUNCT
ejpam-3069	152	7	t	t	PROPN
ejpam-3069	152	8	)	)	PUNCT
ejpam-3069	152	9	cosλkxdx	cosλkxdx	NOUN
ejpam-3069	152	10	(	(	PUNCT
ejpam-3069	152	11	k	k	NOUN
ejpam-3069	152	12	=	=	SYM
ejpam-3069	152	13	0	0	NUM
ejpam-3069	152	14	,	,	PUNCT
ejpam-3069	152	15	1	1	NUM
ejpam-3069	152	16	,	,	PUNCT
ejpam-3069	152	17	2	2	NUM
ejpam-3069	152	18	,	,	PUNCT
ejpam-3069	152	19	.	.	PUNCT
ejpam-3069	152	20	.	.	PUNCT
ejpam-3069	152	21	.	.	PUNCT
ejpam-3069	152	22	)	)	PUNCT
ejpam-3069	153	1	satisfy	satisfy	NOUN
ejpam-3069	153	2	system	system	NOUN
ejpam-3069	153	3	(	(	PUNCT
ejpam-3069	153	4	30	30	NUM
ejpam-3069	153	5	)	)	PUNCT
ejpam-3069	153	6	and	and	CCONJ
ejpam-3069	153	7	(	(	PUNCT
ejpam-3069	153	8	31	31	NUM
ejpam-3069	153	9	)	)	PUNCT
ejpam-3069	153	10	on	on	ADP
ejpam-3069	153	11	the	the	DET
ejpam-3069	153	12	interval	interval	NOUN
ejpam-3069	153	13	[	[	X
ejpam-3069	153	14	0	0	NUM
ejpam-3069	153	15	,	,	PUNCT
ejpam-3069	153	16	t	t	X
ejpam-3069	153	17	]	]	PUNCT
ejpam-3069	153	18	.	.	PUNCT
ejpam-3069	154	1	remark	remark	PROPN
ejpam-3069	154	2	1	1	NUM
ejpam-3069	154	3	.	.	PUNCT
ejpam-3069	154	4	from	from	ADP
ejpam-3069	154	5	lemma	lemma	PROPN
ejpam-3069	154	6	2	2	NUM
ejpam-3069	154	7	it	it	PRON
ejpam-3069	154	8	follows	follow	VERB
ejpam-3069	154	9	that	that	PRON
ejpam-3069	154	10	to	to	PART
ejpam-3069	154	11	prove	prove	VERB
ejpam-3069	154	12	the	the	DET
ejpam-3069	154	13	uniqueness	uniqueness	NOUN
ejpam-3069	154	14	of	of	ADP
ejpam-3069	154	15	the	the	DET
ejpam-3069	154	16	solution	solution	NOUN
ejpam-3069	154	17	of	of	ADP
ejpam-3069	154	18	problem	problem	NOUN
ejpam-3069	154	19	(	(	PUNCT
ejpam-3069	154	20	1)-(3),(12)-(14	1)-(3),(12)-(14	NOUN
ejpam-3069	154	21	)	)	PUNCT
ejpam-3069	155	1	,	,	PUNCT
ejpam-3069	155	2	it	it	PRON
ejpam-3069	155	3	is	be	AUX
ejpam-3069	155	4	suffices	suffice	NOUN
ejpam-3069	155	5	to	to	PART
ejpam-3069	155	6	prove	prove	VERB
ejpam-3069	155	7	the	the	DET
ejpam-3069	155	8	uniqueness	uniqueness	NOUN
ejpam-3069	155	9	of	of	ADP
ejpam-3069	155	10	the	the	DET
ejpam-3069	155	11	solution	solution	NOUN
ejpam-3069	155	12	of	of	ADP
ejpam-3069	155	13	system	system	NOUN
ejpam-3069	155	14	(	(	PUNCT
ejpam-3069	155	15	32),(36	32),(36	NUM
ejpam-3069	155	16	)	)	PUNCT
ejpam-3069	155	17	and	and	CCONJ
ejpam-3069	155	18	(	(	PUNCT
ejpam-3069	155	19	37	37	NUM
ejpam-3069	155	20	)	)	PUNCT
ejpam-3069	155	21	.	.	PUNCT
ejpam-3069	156	1	e.	e.	PROPN
ejpam-3069	156	2	azizbayov	azizbayov	PROPN
ejpam-3069	156	3	,	,	PUNCT
ejpam-3069	156	4	y.	y.	PROPN
ejpam-3069	156	5	mehraliyev	mehraliyev	PROPN
ejpam-3069	156	6	/	/	SYM
ejpam-3069	156	7	eur	eur	PROPN
ejpam-3069	156	8	.	.	PUNCT
ejpam-3069	157	1	j.	j.	PROPN
ejpam-3069	157	2	pure	pure	PROPN
ejpam-3069	157	3	appl	appl	PROPN
ejpam-3069	157	4	.	.	PROPN
ejpam-3069	157	5	math	math	PROPN
ejpam-3069	157	6	,	,	PUNCT
ejpam-3069	157	7	10	10	NUM
ejpam-3069	157	8	(	(	PUNCT
ejpam-3069	157	9	5	5	NUM
ejpam-3069	157	10	)	)	PUNCT
ejpam-3069	157	11	(	(	PUNCT
ejpam-3069	157	12	2017	2017	NUM
ejpam-3069	157	13	)	)	PUNCT
ejpam-3069	157	14	,	,	PUNCT
ejpam-3069	157	15	981	981	NUM
ejpam-3069	157	16	-	-	SYM
ejpam-3069	157	17	994	994	NUM
ejpam-3069	157	18	988	988	NUM
ejpam-3069	157	19	now	now	ADV
ejpam-3069	157	20	,	,	PUNCT
ejpam-3069	157	21	consider	consider	VERB
ejpam-3069	157	22	the	the	DET
ejpam-3069	157	23	following	follow	VERB
ejpam-3069	157	24	space	space	NOUN
ejpam-3069	157	25	.	.	PUNCT
ejpam-3069	158	1	denote	denote	VERB
ejpam-3069	158	2	by	by	ADP
ejpam-3069	158	3	b3	b3	PROPN
ejpam-3069	158	4	2,t	2,t	NOUN
ejpam-3069	158	5	[	[	X
ejpam-3069	158	6	10	10	NUM
ejpam-3069	158	7	]	]	PUNCT
ejpam-3069	158	8	the	the	DET
ejpam-3069	158	9	set	set	NOUN
ejpam-3069	158	10	of	of	ADP
ejpam-3069	158	11	all	all	DET
ejpam-3069	158	12	functions	function	NOUN
ejpam-3069	158	13	of	of	ADP
ejpam-3069	158	14	the	the	DET
ejpam-3069	158	15	form	form	NOUN
ejpam-3069	158	16	u(x	u(x	NOUN
ejpam-3069	158	17	,	,	PUNCT
ejpam-3069	158	18	t	t	NOUN
ejpam-3069	158	19	)	)	PUNCT
ejpam-3069	158	20	=	=	PUNCT
ejpam-3069	159	1	∞∑	∞∑	NUM
ejpam-3069	159	2	k=0	k=0	PROPN
ejpam-3069	159	3	uk(t	uk(t	PUNCT
ejpam-3069	159	4	)	)	PUNCT
ejpam-3069	159	5	cosλkx	cosλkx	NOUN
ejpam-3069	159	6	(	(	PUNCT
ejpam-3069	159	7	λ	λ	X
ejpam-3069	159	8	=	=	SYM
ejpam-3069	159	9	kπ	kπ	PROPN
ejpam-3069	159	10	)	)	PUNCT
ejpam-3069	159	11	,	,	PUNCT
ejpam-3069	159	12	considered	consider	VERB
ejpam-3069	159	13	in	in	ADP
ejpam-3069	159	14	domain	domain	NOUN
ejpam-3069	159	15	qt	qt	NOUN
ejpam-3069	159	16	,	,	PUNCT
ejpam-3069	159	17	where	where	SCONJ
ejpam-3069	159	18	the	the	DET
ejpam-3069	159	19	functions	function	NOUN
ejpam-3069	159	20	uk(t	uk(t	PUNCT
ejpam-3069	159	21	)	)	PUNCT
ejpam-3069	159	22	(	(	PUNCT
ejpam-3069	159	23	k	k	NOUN
ejpam-3069	159	24	=	=	SYM
ejpam-3069	159	25	0	0	NUM
ejpam-3069	159	26	,	,	PUNCT
ejpam-3069	159	27	1	1	NUM
ejpam-3069	159	28	,	,	PUNCT
ejpam-3069	159	29	2	2	NUM
ejpam-3069	159	30	,	,	PUNCT
ejpam-3069	159	31	...	...	PUNCT
ejpam-3069	159	32	)	)	PUNCT
ejpam-3069	159	33	are	be	AUX
ejpam-3069	159	34	continuous	continuous	ADJ
ejpam-3069	159	35	on	on	ADP
ejpam-3069	159	36	the	the	DET
ejpam-3069	159	37	interval	interval	NOUN
ejpam-3069	159	38	[	[	X
ejpam-3069	159	39	0	0	NUM
ejpam-3069	159	40	,	,	PUNCT
ejpam-3069	159	41	t	t	NOUN
ejpam-3069	159	42	]	]	PUNCT
ejpam-3069	159	43	and	and	CCONJ
ejpam-3069	159	44	satisfies	satisfy	VERB
ejpam-3069	159	45	the	the	DET
ejpam-3069	159	46	following	follow	VERB
ejpam-3069	159	47	condition	condition	NOUN
ejpam-3069	159	48	‖u0(t)‖c[0,t	‖u0(t)‖c[0,t	PROPN
ejpam-3069	159	49	]	]	PUNCT
ejpam-3069	160	1	+	+	CCONJ
ejpam-3069	160	2	(	(	PUNCT
ejpam-3069	160	3	∞∑	∞∑	NUM
ejpam-3069	160	4	k=1	k=1	X
ejpam-3069	160	5	(	(	PUNCT
ejpam-3069	160	6	λ3k	λ3k	X
ejpam-3069	160	7	‖uk(t)‖c[0,t	‖uk(t)‖c[0,t	NOUN
ejpam-3069	160	8	]	]	PUNCT
ejpam-3069	160	9	)	)	PUNCT
ejpam-3069	160	10	2	2	X
ejpam-3069	160	11	)	)	PUNCT
ejpam-3069	160	12	1	1	NUM
ejpam-3069	160	13	2	2	NUM
ejpam-3069	160	14	<	<	X
ejpam-3069	160	15	+	+	NOUN
ejpam-3069	160	16	∞.	∞.	PROPN
ejpam-3069	160	17	in	in	ADP
ejpam-3069	160	18	the	the	DET
ejpam-3069	160	19	space	space	NOUN
ejpam-3069	160	20	b3	b3	PROPN
ejpam-3069	160	21	2,t	2,t	NOUN
ejpam-3069	160	22	the	the	DET
ejpam-3069	160	23	operations	operation	NOUN
ejpam-3069	160	24	addition	addition	NOUN
ejpam-3069	160	25	and	and	CCONJ
ejpam-3069	160	26	multiplication	multiplication	NOUN
ejpam-3069	160	27	by	by	ADP
ejpam-3069	160	28	a	a	DET
ejpam-3069	160	29	scalar	scalar	NOUN
ejpam-3069	160	30	,	,	PUNCT
ejpam-3069	160	31	we	we	PRON
ejpam-3069	160	32	define	define	VERB
ejpam-3069	160	33	in	in	ADP
ejpam-3069	160	34	the	the	DET
ejpam-3069	160	35	usual	usual	ADJ
ejpam-3069	160	36	way	way	NOUN
ejpam-3069	160	37	,	,	PUNCT
ejpam-3069	160	38	and	and	CCONJ
ejpam-3069	160	39	the	the	DET
ejpam-3069	160	40	norm	norm	NOUN
ejpam-3069	160	41	defined	define	VERB
ejpam-3069	160	42	by	by	ADP
ejpam-3069	160	43	the	the	DET
ejpam-3069	160	44	following	follow	VERB
ejpam-3069	160	45	formula	formula	NOUN
ejpam-3069	160	46	‖u(x	‖u(x	NOUN
ejpam-3069	160	47	,	,	PUNCT
ejpam-3069	160	48	t)‖b3	t)‖b3	NOUN
ejpam-3069	160	49	2,t	2,t	NOUN
ejpam-3069	161	1	=	=	SYM
ejpam-3069	161	2	‖u0(t)‖c[0,t	‖u0(t)‖c[0,t	PROPN
ejpam-3069	161	3	]	]	PUNCT
ejpam-3069	162	1	+	+	CCONJ
ejpam-3069	162	2	(	(	PUNCT
ejpam-3069	162	3	∞∑	∞∑	NUM
ejpam-3069	162	4	k=1	k=1	X
ejpam-3069	162	5	(	(	PUNCT
ejpam-3069	162	6	λ3k	λ3k	X
ejpam-3069	162	7	‖uk(t)‖c[0,t	‖uk(t)‖c[0,t	NOUN
ejpam-3069	162	8	]	]	PUNCT
ejpam-3069	162	9	)	)	PUNCT
ejpam-3069	162	10	2	2	X
ejpam-3069	162	11	)	)	PUNCT
ejpam-3069	162	12	1	1	NUM
ejpam-3069	162	13	2	2	NUM
ejpam-3069	162	14	.	.	PUNCT
ejpam-3069	163	1	we	we	PRON
ejpam-3069	163	2	denote	denote	VERB
ejpam-3069	163	3	by	by	ADP
ejpam-3069	163	4	e3	e3	PROPN
ejpam-3069	163	5	t	t	NOUN
ejpam-3069	163	6	,	,	PUNCT
ejpam-3069	163	7	the	the	DET
ejpam-3069	163	8	banach	banach	NOUN
ejpam-3069	163	9	space	space	NOUN
ejpam-3069	163	10	b3	b3	PROPN
ejpam-3069	163	11	2,t×c[0	2,t×c[0	NUM
ejpam-3069	163	12	,	,	PUNCT
ejpam-3069	163	13	t	t	X
ejpam-3069	163	14	]	]	PUNCT
ejpam-3069	163	15	×c[0	×c[0	NOUN
ejpam-3069	163	16	,	,	PUNCT
ejpam-3069	163	17	t	t	PROPN
ejpam-3069	163	18	]	]	PUNCT
ejpam-3069	163	19	of	of	ADP
ejpam-3069	163	20	vector	vector	NOUN
ejpam-3069	163	21	functions	function	NOUN
ejpam-3069	163	22	z(x	z(x	NUM
ejpam-3069	163	23	,	,	PUNCT
ejpam-3069	163	24	t	t	PROPN
ejpam-3069	163	25	)	)	PUNCT
ejpam-3069	163	26	=	=	PRON
ejpam-3069	163	27	{	{	PUNCT
ejpam-3069	163	28	u(x	u(x	PROPN
ejpam-3069	163	29	,	,	PUNCT
ejpam-3069	163	30	t	t	PROPN
ejpam-3069	163	31	)	)	PUNCT
ejpam-3069	163	32	,	,	PUNCT
ejpam-3069	163	33	a(t	a(t	NOUN
ejpam-3069	163	34	)	)	PUNCT
ejpam-3069	163	35	,	,	PUNCT
ejpam-3069	163	36	b(t	b(t	NOUN
ejpam-3069	163	37	)	)	PUNCT
ejpam-3069	163	38	}	}	PUNCT
ejpam-3069	163	39	with	with	ADP
ejpam-3069	163	40	norm	norm	NOUN
ejpam-3069	163	41	‖z(x	‖z(x	NOUN
ejpam-3069	163	42	,	,	PUNCT
ejpam-3069	163	43	t)‖b3	t)‖b3	NOUN
ejpam-3069	163	44	2,t	2,t	NOUN
ejpam-3069	163	45	=	=	SYM
ejpam-3069	163	46	‖u(x	‖u(x	NOUN
ejpam-3069	163	47	,	,	PUNCT
ejpam-3069	163	48	t)‖b3	t)‖b3	NOUN
ejpam-3069	163	49	2,t	2,t	NOUN
ejpam-3069	163	50	+	+	CCONJ
ejpam-3069	163	51	‖a(t)‖c[0,t	‖a(t)‖c[0,t	NOUN
ejpam-3069	163	52	]	]	PUNCT
ejpam-3069	164	1	+	+	PUNCT
ejpam-3069	164	2	‖b(t)‖c[0,t	‖b(t)‖c[0,t	NOUN
ejpam-3069	164	3	]	]	PUNCT
ejpam-3069	164	4	.	.	PUNCT
ejpam-3069	165	1	it	it	PRON
ejpam-3069	165	2	is	be	AUX
ejpam-3069	165	3	known	know	VERB
ejpam-3069	165	4	that	that	SCONJ
ejpam-3069	165	5	b3	b3	PROPN
ejpam-3069	165	6	2,t	2,t	PROPN
ejpam-3069	165	7	and	and	CCONJ
ejpam-3069	165	8	e3	e3	PROPN
ejpam-3069	165	9	t	t	NOUN
ejpam-3069	165	10	are	be	AUX
ejpam-3069	165	11	banach	banach	ADV
ejpam-3069	165	12	spaces	space	NOUN
ejpam-3069	165	13	.	.	PUNCT
ejpam-3069	166	1	now	now	ADV
ejpam-3069	166	2	consider	consider	VERB
ejpam-3069	166	3	the	the	DET
ejpam-3069	166	4	operator	operator	NOUN
ejpam-3069	166	5	φ(u	φ(u	NOUN
ejpam-3069	166	6	,	,	PUNCT
ejpam-3069	166	7	a	a	DET
ejpam-3069	166	8	,	,	PUNCT
ejpam-3069	166	9	b	b	NOUN
ejpam-3069	166	10	)	)	PUNCT
ejpam-3069	166	11	=	=	SYM
ejpam-3069	166	12	{	{	PUNCT
ejpam-3069	166	13	φ1(u	φ1(u	PROPN
ejpam-3069	166	14	,	,	PUNCT
ejpam-3069	166	15	a	a	PRON
ejpam-3069	166	16	,	,	PUNCT
ejpam-3069	166	17	b),φ2(u	b),φ2(u	PROPN
ejpam-3069	166	18	,	,	PUNCT
ejpam-3069	166	19	a	a	PRON
ejpam-3069	166	20	,	,	PUNCT
ejpam-3069	166	21	b),φ3(u	b),φ3(u	PROPN
ejpam-3069	166	22	,	,	PUNCT
ejpam-3069	166	23	a	a	DET
ejpam-3069	166	24	,	,	PUNCT
ejpam-3069	166	25	b	b	NOUN
ejpam-3069	166	26	)	)	PUNCT
ejpam-3069	166	27	}	}	PUNCT
ejpam-3069	166	28	in	in	ADP
ejpam-3069	166	29	the	the	DET
ejpam-3069	166	30	space	space	NOUN
ejpam-3069	166	31	e3	e3	NOUN
ejpam-3069	166	32	t	t	NOUN
ejpam-3069	166	33	,	,	PUNCT
ejpam-3069	166	34	where	where	SCONJ
ejpam-3069	166	35	φ1(u	φ1(u	NOUN
ejpam-3069	166	36	,	,	PUNCT
ejpam-3069	166	37	a	a	DET
ejpam-3069	166	38	,	,	PUNCT
ejpam-3069	166	39	b	b	NOUN
ejpam-3069	166	40	)	)	PUNCT
ejpam-3069	167	1	=	=	SYM
ejpam-3069	167	2	ũ(x	ũ(x	PROPN
ejpam-3069	167	3	,	,	PUNCT
ejpam-3069	167	4	t	t	PROPN
ejpam-3069	167	5	)	)	PUNCT
ejpam-3069	167	6	≡	≡	PROPN
ejpam-3069	168	1	∞∑	∞∑	DET
ejpam-3069	168	2	k=0	k=0	PROPN
ejpam-3069	168	3	ũk(t	ũk(t	NUM
ejpam-3069	168	4	)	)	PUNCT
ejpam-3069	168	5	cosλkx	cosλkx	NOUN
ejpam-3069	168	6	,	,	PUNCT
ejpam-3069	168	7	φ2(u	φ2(u	PROPN
ejpam-3069	168	8	,	,	PUNCT
ejpam-3069	168	9	a	a	DET
ejpam-3069	168	10	,	,	PUNCT
ejpam-3069	168	11	b	b	NOUN
ejpam-3069	168	12	)	)	PUNCT
ejpam-3069	168	13	=	=	SYM
ejpam-3069	168	14	ã(t	ã(t	PROPN
ejpam-3069	168	15	)	)	PUNCT
ejpam-3069	168	16	,	,	PUNCT
ejpam-3069	168	17	φ3(u	φ3(u	PROPN
ejpam-3069	168	18	,	,	PUNCT
ejpam-3069	168	19	a	a	DET
ejpam-3069	168	20	,	,	PUNCT
ejpam-3069	168	21	b	b	NOUN
ejpam-3069	168	22	)	)	PUNCT
ejpam-3069	168	23	=	=	SYM
ejpam-3069	168	24	b̃(t	b̃(t	PROPN
ejpam-3069	168	25	)	)	PUNCT
ejpam-3069	168	26	,	,	PUNCT
ejpam-3069	168	27	and	and	CCONJ
ejpam-3069	168	28	the	the	DET
ejpam-3069	168	29	functions	function	NOUN
ejpam-3069	168	30	ũ0(t	ũ0(t	PROPN
ejpam-3069	168	31	)	)	PUNCT
ejpam-3069	168	32	,	,	PUNCT
ejpam-3069	168	33	ũk(t	ũk(t	NOUN
ejpam-3069	168	34	)	)	PUNCT
ejpam-3069	168	35	(	(	PUNCT
ejpam-3069	168	36	k	k	NOUN
ejpam-3069	168	37	=	=	SYM
ejpam-3069	168	38	1	1	NUM
ejpam-3069	168	39	,	,	PUNCT
ejpam-3069	168	40	2	2	NUM
ejpam-3069	168	41	,	,	PUNCT
ejpam-3069	168	42	...	...	PUNCT
ejpam-3069	168	43	)	)	PUNCT
ejpam-3069	168	44	,	,	PUNCT
ejpam-3069	168	45	ã(t	ã(t	PROPN
ejpam-3069	168	46	)	)	PUNCT
ejpam-3069	168	47	and	and	CCONJ
ejpam-3069	168	48	b̃(t	b̃(t	PROPN
ejpam-3069	168	49	)	)	PUNCT
ejpam-3069	168	50	are	be	AUX
ejpam-3069	168	51	equal	equal	ADJ
ejpam-3069	168	52	to	to	ADP
ejpam-3069	168	53	the	the	DET
ejpam-3069	168	54	right	right	ADJ
ejpam-3069	168	55	-	-	PUNCT
ejpam-3069	168	56	hand	hand	NOUN
ejpam-3069	168	57	sides	side	NOUN
ejpam-3069	168	58	of	of	ADP
ejpam-3069	168	59	(	(	PUNCT
ejpam-3069	168	60	30),(31),(36	30),(31),(36	ADJ
ejpam-3069	168	61	)	)	PUNCT
ejpam-3069	168	62	and	and	CCONJ
ejpam-3069	168	63	(	(	PUNCT
ejpam-3069	168	64	37	37	NUM
ejpam-3069	168	65	)	)	PUNCT
ejpam-3069	168	66	respectively	respectively	ADV
ejpam-3069	168	67	.	.	PUNCT
ejpam-3069	169	1	using	use	VERB
ejpam-3069	169	2	simple	simple	ADJ
ejpam-3069	169	3	transformations	transformation	NOUN
ejpam-3069	169	4	from	from	ADP
ejpam-3069	169	5	(	(	PUNCT
ejpam-3069	169	6	30),(31),(36	30),(31),(36	PROPN
ejpam-3069	169	7	)	)	PUNCT
ejpam-3069	169	8	and	and	CCONJ
ejpam-3069	169	9	(	(	PUNCT
ejpam-3069	169	10	37	37	NUM
ejpam-3069	169	11	)	)	PUNCT
ejpam-3069	169	12	we	we	PRON
ejpam-3069	169	13	obtain	obtain	VERB
ejpam-3069	169	14	‖ũ0(t)‖c[0,t	‖ũ0(t)‖c[0,t	X
ejpam-3069	169	15	]	]	PUNCT
ejpam-3069	169	16	≤	≤	X
ejpam-3069	169	17	(	(	PUNCT
ejpam-3069	169	18	1	1	NUM
ejpam-3069	169	19	+	+	CCONJ
ejpam-3069	169	20	δ)−1	δ)−1	VERB
ejpam-3069	169	21	|ϕ1|+	|ϕ1|+	PROPN
ejpam-3069	169	22	δ	δ	PROPN
ejpam-3069	169	23	∥∥∥∥	∥∥∥∥	PROPN
ejpam-3069	169	24	1	1	NUM
ejpam-3069	169	25	c(t	c(t	PROPN
ejpam-3069	169	26	)	)	PUNCT
ejpam-3069	169	27	∥∥∥∥	∥∥∥∥	NUM
ejpam-3069	170	1	c[0,t	c[0,t	NOUN
ejpam-3069	170	2	]	]	PUNCT
ejpam-3069	170	3	√t	√t	CCONJ
ejpam-3069	170	4			PROPN
ejpam-3069	170	5	t∫	t∫	PROPN
ejpam-3069	170	6	0	0	NUM
ejpam-3069	170	7	|f0(τ)|2	|f0(τ)|2	PROPN
ejpam-3069	170	8	dτ	dτ	NOUN
ejpam-3069	170	9			PROPN
ejpam-3069	170	10	1	1	NUM
ejpam-3069	170	11	2	2	NUM
ejpam-3069	170	12	+	+	NOUN
ejpam-3069	170	13	t	t	NOUN
ejpam-3069	170	14	‖a(t)‖c[0,t	‖a(t)‖c[0,t	X
ejpam-3069	170	15	]	]	PUNCT
ejpam-3069	170	16	‖u0(t)‖c[0,t	‖u0(t)‖c[0,t	PROPN
ejpam-3069	170	17	]	]	PUNCT
ejpam-3069	171	1	+	+	CCONJ
ejpam-3069	172	1	√	√	PROPN
ejpam-3069	172	2	t	t	X
ejpam-3069	172	3	‖b(t)‖c[0,t	‖b(t)‖c[0,t	PROPN
ejpam-3069	172	4	]	]	PUNCT
ejpam-3069	172	5			PROPN
ejpam-3069	172	6	t∫	t∫	PROPN
ejpam-3069	172	7	0	0	NUM
ejpam-3069	172	8	|g0(τ)|2	|g0(τ)|2	PROPN
ejpam-3069	172	9	dτ	dτ	NOUN
ejpam-3069	172	10			PROPN
ejpam-3069	172	11	1	1	NUM
ejpam-3069	172	12	2	2	NUM
ejpam-3069	172	13			PROPN
ejpam-3069	172	14			NUM
ejpam-3069	172	15	e.	e.	PROPN
ejpam-3069	172	16	azizbayov	azizbayov	PROPN
ejpam-3069	172	17	,	,	PUNCT
ejpam-3069	172	18	y.	y.	PROPN
ejpam-3069	172	19	mehraliyev	mehraliyev	PROPN
ejpam-3069	172	20	/	/	SYM
ejpam-3069	172	21	eur	eur	PROPN
ejpam-3069	172	22	.	.	PUNCT
ejpam-3069	173	1	j.	j.	PROPN
ejpam-3069	173	2	pure	pure	PROPN
ejpam-3069	173	3	appl	appl	PROPN
ejpam-3069	173	4	.	.	PROPN
ejpam-3069	173	5	math	math	PROPN
ejpam-3069	173	6	,	,	PUNCT
ejpam-3069	173	7	10	10	NUM
ejpam-3069	173	8	(	(	PUNCT
ejpam-3069	173	9	5	5	NUM
ejpam-3069	173	10	)	)	PUNCT
ejpam-3069	173	11	(	(	PUNCT
ejpam-3069	173	12	2017	2017	NUM
ejpam-3069	173	13	)	)	PUNCT
ejpam-3069	173	14	,	,	PUNCT
ejpam-3069	173	15	981	981	NUM
ejpam-3069	173	16	-	-	SYM
ejpam-3069	173	17	994	994	NUM
ejpam-3069	173	18	989	989	NUM
ejpam-3069	173	19	+	+	CCONJ
ejpam-3069	173	20	∥∥∥∥	∥∥∥∥	PROPN
ejpam-3069	173	21	1	1	NUM
ejpam-3069	173	22	c(t	c(t	PROPN
ejpam-3069	173	23	)	)	PUNCT
ejpam-3069	173	24	∥∥∥∥	∥∥∥∥	NUM
ejpam-3069	173	25	c[0,t	c[0,t	NOUN
ejpam-3069	173	26	]	]	PUNCT
ejpam-3069	173	27	√t	√t	NOUN
ejpam-3069	173	28			PROPN
ejpam-3069	173	29	t∫	t∫	PROPN
ejpam-3069	173	30	0	0	NUM
ejpam-3069	173	31	|f0(τ)|2	|f0(τ)|2	PROPN
ejpam-3069	173	32	dτ	dτ	NOUN
ejpam-3069	173	33			PROPN
ejpam-3069	173	34	1	1	NUM
ejpam-3069	173	35	2	2	NUM
ejpam-3069	173	36	+	+	NUM
ejpam-3069	173	37	t	t	PROPN
ejpam-3069	173	38	‖a(t)‖c[0,t	‖a(t)‖c[0,t	X
ejpam-3069	173	39	]	]	PUNCT
ejpam-3069	173	40	‖u0(t)‖c[0,t	‖u0(t)‖c[0,t	PROPN
ejpam-3069	173	41	]	]	PUNCT
ejpam-3069	174	1	+	+	CCONJ
ejpam-3069	174	2	√	√	PROPN
ejpam-3069	174	3	t	t	X
ejpam-3069	174	4	‖b(t)‖c[0,t	‖b(t)‖c[0,t	PROPN
ejpam-3069	174	5	]	]	PUNCT
ejpam-3069	174	6			PROPN
ejpam-3069	174	7	t∫	t∫	PROPN
ejpam-3069	174	8	0	0	NUM
ejpam-3069	174	9	|g0(τ)|2	|g0(τ)|2	PROPN
ejpam-3069	174	10	dτ	dτ	NOUN
ejpam-3069	174	11			PROPN
ejpam-3069	174	12	1	1	NUM
ejpam-3069	174	13	2	2	NUM
ejpam-3069	174	14			NUM
ejpam-3069	174	15	,	,	PUNCT
ejpam-3069	174	16	(	(	PUNCT
ejpam-3069	174	17	38	38	NUM
ejpam-3069	174	18	)	)	PUNCT
ejpam-3069	174	19	(	(	PUNCT
ejpam-3069	174	20	∞∑	∞∑	NUM
ejpam-3069	174	21	k=1	k=1	X
ejpam-3069	174	22	(	(	PUNCT
ejpam-3069	174	23	λ3k	λ3k	PROPN
ejpam-3069	174	24	‖ũk(t)‖c[0,t	‖ũk(t)‖c[0,t	PROPN
ejpam-3069	174	25	]	]	PUNCT
ejpam-3069	174	26	)	)	PUNCT
ejpam-3069	174	27	2	2	X
ejpam-3069	174	28	)	)	PUNCT
ejpam-3069	174	29	1	1	NUM
ejpam-3069	174	30	2	2	NUM
ejpam-3069	174	31	≤	≤	NOUN
ejpam-3069	174	32	√	√	ADP
ejpam-3069	174	33	5	5	NUM
ejpam-3069	174	34	(	(	PUNCT
ejpam-3069	174	35	∞∑	∞∑	NUM
ejpam-3069	174	36	k=1	k=1	X
ejpam-3069	174	37	(	(	PUNCT
ejpam-3069	174	38	λ3k	λ3k	X
ejpam-3069	174	39	|ϕk|	|ϕk|	PROPN
ejpam-3069	174	40	)	)	PUNCT
ejpam-3069	174	41	2	2	NUM
ejpam-3069	174	42	)	)	PUNCT
ejpam-3069	174	43	1	1	NUM
ejpam-3069	174	44	2	2	NUM
ejpam-3069	174	45	+	+	CCONJ
ejpam-3069	174	46	√	√	NUM
ejpam-3069	174	47	5(1	5(1	NUM
ejpam-3069	174	48	+	+	CCONJ
ejpam-3069	174	49	δ	δ	PROPN
ejpam-3069	174	50	)	)	PUNCT
ejpam-3069	174	51	∥∥∥∥	∥∥∥∥	PROPN
ejpam-3069	174	52	1	1	NUM
ejpam-3069	174	53	c(t	c(t	PROPN
ejpam-3069	174	54	)	)	PUNCT
ejpam-3069	174	55	∥∥∥∥	∥∥∥∥	NUM
ejpam-3069	174	56	c[0,t	c[0,t	NOUN
ejpam-3069	174	57	]	]	PUNCT
ejpam-3069	174	58	√	√	PROPN
ejpam-3069	174	59	t	t	X
ejpam-3069	175	1			PROPN
ejpam-3069	175	2	t∫	t∫	PROPN
ejpam-3069	175	3	0	0	NUM
ejpam-3069	176	1	∞∑	∞∑	NOUN
ejpam-3069	176	2	k=1	k=1	PUNCT
ejpam-3069	176	3	(	(	PUNCT
ejpam-3069	176	4	λ3k	λ3k	X
ejpam-3069	176	5	|fk(τ)|	|fk(τ)|	ADV
ejpam-3069	176	6	)	)	PUNCT
ejpam-3069	176	7	2	2	NUM
ejpam-3069	176	8	dτ	dτ	NOUN
ejpam-3069	176	9			PROPN
ejpam-3069	176	10	1	1	NUM
ejpam-3069	176	11	2	2	NUM
ejpam-3069	176	12	+	+	CCONJ
ejpam-3069	176	13	√	√	PROPN
ejpam-3069	176	14	5(1	5(1	NUM
ejpam-3069	176	15	+	+	CCONJ
ejpam-3069	176	16	δ	δ	PROPN
ejpam-3069	176	17	)	)	PUNCT
ejpam-3069	176	18	∥∥∥∥	∥∥∥∥	PROPN
ejpam-3069	176	19	1	1	NUM
ejpam-3069	176	20	c(t	c(t	PROPN
ejpam-3069	176	21	)	)	PUNCT
ejpam-3069	176	22	∥∥∥∥	∥∥∥∥	NUM
ejpam-3069	176	23	c[0,t	c[0,t	NOUN
ejpam-3069	176	24	]	]	PUNCT
ejpam-3069	176	25	t	t	PROPN
ejpam-3069	176	26	‖a(t)‖c[0,t	‖a(t)‖c[0,t	NOUN
ejpam-3069	176	27	]	]	X
ejpam-3069	176	28	(	(	PUNCT
ejpam-3069	176	29	∞∑	∞∑	NUM
ejpam-3069	176	30	k=1	k=1	X
ejpam-3069	176	31	(	(	PUNCT
ejpam-3069	176	32	λ3k	λ3k	X
ejpam-3069	176	33	‖uk(t)‖c[0,t	‖uk(t)‖c[0,t	NOUN
ejpam-3069	176	34	]	]	PUNCT
ejpam-3069	176	35	)	)	PUNCT
ejpam-3069	176	36	2	2	X
ejpam-3069	176	37	)	)	PUNCT
ejpam-3069	176	38	1	1	NUM
ejpam-3069	176	39	2	2	NUM
ejpam-3069	176	40	+2	+2	NOUN
ejpam-3069	176	41	√	√	ADP
ejpam-3069	176	42	2	2	NUM
ejpam-3069	176	43	t	t	NOUN
ejpam-3069	176	44	(	(	PUNCT
ejpam-3069	176	45	1	1	NUM
ejpam-3069	176	46	+	+	CCONJ
ejpam-3069	176	47	δ	δ	PROPN
ejpam-3069	176	48	)	)	PUNCT
ejpam-3069	176	49	∥∥∥∥	∥∥∥∥	PROPN
ejpam-3069	176	50	1	1	NUM
ejpam-3069	176	51	c(t	c(t	PROPN
ejpam-3069	176	52	)	)	PUNCT
ejpam-3069	176	53	∥∥∥∥	∥∥∥∥	NUM
ejpam-3069	176	54	c[0,t	c[0,t	NOUN
ejpam-3069	176	55	]	]	PUNCT
ejpam-3069	176	56	‖b(t)‖c[0,t	‖b(t)‖c[0,t	X
ejpam-3069	176	57	]	]	PUNCT
ejpam-3069	177	1			PROPN
ejpam-3069	177	2	t∫	t∫	PROPN
ejpam-3069	177	3	0	0	NUM
ejpam-3069	178	1	∞∑	∞∑	NOUN
ejpam-3069	178	2	k=1	k=1	X
ejpam-3069	178	3	(	(	PUNCT
ejpam-3069	178	4	λ3k	λ3k	X
ejpam-3069	178	5	|gk(τ)|	|gk(τ)|	PROPN
ejpam-3069	178	6	)	)	PUNCT
ejpam-3069	178	7	2	2	NUM
ejpam-3069	178	8	dτ	dτ	NOUN
ejpam-3069	178	9			PROPN
ejpam-3069	178	10	1	1	NUM
ejpam-3069	178	11	2	2	NUM
ejpam-3069	178	12	,	,	PUNCT
ejpam-3069	178	13	(	(	PUNCT
ejpam-3069	178	14	39	39	NUM
ejpam-3069	178	15	)	)	PUNCT
ejpam-3069	178	16	‖ã(t)‖c[0,t	‖ã(t)‖c[0,t	NOUN
ejpam-3069	178	17	]	]	PUNCT
ejpam-3069	178	18	≤	≤	NUM
ejpam-3069	179	1	∥∥[h(t)]−1	∥∥[h(t)]−1	AUX
ejpam-3069	179	2	∥∥	∥∥	PRON
ejpam-3069	179	3	c[0,t	c[0,t	NOUN
ejpam-3069	179	4	]	]	X
ejpam-3069	179	5	×	×	NOUN
ejpam-3069	179	6	{	{	PUNCT
ejpam-3069	179	7	∥∥(c(t)h′1(t)−	∥∥(c(t)h′1(t)−	ADJ
ejpam-3069	179	8	f(0	f(0	NOUN
ejpam-3069	179	9	,	,	PUNCT
ejpam-3069	179	10	t))g(1	t))g(1	NOUN
ejpam-3069	179	11	,	,	PUNCT
ejpam-3069	179	12	t)−	t)−	PROPN
ejpam-3069	179	13	(	(	PUNCT
ejpam-3069	179	14	c(t)h′2(t)−	c(t)h′2(t)−	PROPN
ejpam-3069	179	15	f(1	f(1	PROPN
ejpam-3069	179	16	,	,	PUNCT
ejpam-3069	179	17	t))g(0	t))g(0	NOUN
ejpam-3069	179	18	,	,	PUNCT
ejpam-3069	179	19	t	t	PROPN
ejpam-3069	179	20	)	)	PUNCT
ejpam-3069	179	21	)	)	PUNCT
ejpam-3069	180	1	∥∥	∥∥	PRON
ejpam-3069	180	2	c[0,t	c[0,t	NOUN
ejpam-3069	180	3	]	]	PUNCT
ejpam-3069	181	1	+	+	CCONJ
ejpam-3069	181	2	(	(	PUNCT
ejpam-3069	181	3	∞∑	∞∑	NUM
ejpam-3069	181	4	k=1	k=1	X
ejpam-3069	181	5	λ−2k	λ−2k	ADP
ejpam-3069	181	6	)	)	PUNCT
ejpam-3069	181	7	1	1	NUM
ejpam-3069	181	8	2	2	NUM
ejpam-3069	181	9	‖|g(0	‖|g(0	NOUN
ejpam-3069	181	10	,	,	PUNCT
ejpam-3069	181	11	t)|+	t)|+	NOUN
ejpam-3069	181	12	|g(1	|g(1	ADP
ejpam-3069	181	13	,	,	PUNCT
ejpam-3069	181	14	t)|‖c[0,t	t)|‖c[0,t	NOUN
ejpam-3069	181	15	]	]	PUNCT
ejpam-3069	181	16			PROPN
ejpam-3069	181	17	(	(	PUNCT
ejpam-3069	181	18	∞∑	∞∑	NUM
ejpam-3069	181	19	k=1	k=1	X
ejpam-3069	181	20	(	(	PUNCT
ejpam-3069	181	21	λ3k	λ3k	X
ejpam-3069	181	22	|ϕk|	|ϕk|	PROPN
ejpam-3069	181	23	)	)	PUNCT
ejpam-3069	181	24	2	2	NUM
ejpam-3069	181	25	)	)	PUNCT
ejpam-3069	181	26	1	1	NUM
ejpam-3069	181	27	2	2	NUM
ejpam-3069	181	28	+	+	ADJ
ejpam-3069	181	29	(	(	PUNCT
ejpam-3069	181	30	1	1	NUM
ejpam-3069	181	31	+	+	NUM
ejpam-3069	181	32	δ	δ	PROPN
ejpam-3069	181	33	)	)	PUNCT
ejpam-3069	181	34	∥∥∥∥	∥∥∥∥	PROPN
ejpam-3069	181	35	1	1	NUM
ejpam-3069	181	36	c(t	c(t	PROPN
ejpam-3069	181	37	)	)	PUNCT
ejpam-3069	181	38	∥∥∥∥	∥∥∥∥	NUM
ejpam-3069	181	39	c[0,t	c[0,t	NOUN
ejpam-3069	181	40	]	]	PUNCT
ejpam-3069	181	41	√	√	PROPN
ejpam-3069	181	42	t	t	X
ejpam-3069	181	43			PROPN
ejpam-3069	181	44	t∫	t∫	PROPN
ejpam-3069	181	45	0	0	NUM
ejpam-3069	182	1	∞∑	∞∑	NOUN
ejpam-3069	182	2	k=1	k=1	PUNCT
ejpam-3069	182	3	(	(	PUNCT
ejpam-3069	182	4	λ3k	λ3k	X
ejpam-3069	182	5	|fk(τ)|	|fk(τ)|	ADV
ejpam-3069	182	6	)	)	PUNCT
ejpam-3069	182	7	2	2	NUM
ejpam-3069	182	8	dτ	dτ	NOUN
ejpam-3069	182	9			PROPN
ejpam-3069	182	10	1	1	NUM
ejpam-3069	182	11	2	2	NUM
ejpam-3069	182	12	+	+	ADJ
ejpam-3069	182	13	(	(	PUNCT
ejpam-3069	182	14	1	1	NUM
ejpam-3069	182	15	+	+	NUM
ejpam-3069	182	16	δ	δ	PROPN
ejpam-3069	182	17	)	)	PUNCT
ejpam-3069	182	18	∥∥∥∥	∥∥∥∥	PROPN
ejpam-3069	182	19	1	1	NUM
ejpam-3069	182	20	c(t	c(t	PROPN
ejpam-3069	182	21	)	)	PUNCT
ejpam-3069	182	22	∥∥∥∥	∥∥∥∥	NUM
ejpam-3069	182	23	c[0,t	c[0,t	NOUN
ejpam-3069	182	24	]	]	PUNCT
ejpam-3069	182	25	t	t	PROPN
ejpam-3069	182	26	‖a(t)‖c[0,t	‖a(t)‖c[0,t	NOUN
ejpam-3069	182	27	]	]	X
ejpam-3069	182	28	(	(	PUNCT
ejpam-3069	182	29	∞∑	∞∑	NUM
ejpam-3069	182	30	k=1	k=1	X
ejpam-3069	182	31	(	(	PUNCT
ejpam-3069	182	32	λ3k	λ3k	X
ejpam-3069	182	33	‖uk(t)‖c[0,t	‖uk(t)‖c[0,t	NOUN
ejpam-3069	182	34	]	]	PUNCT
ejpam-3069	182	35	)	)	PUNCT
ejpam-3069	182	36	2	2	X
ejpam-3069	182	37	)	)	PUNCT
ejpam-3069	182	38	1	1	NUM
ejpam-3069	182	39	2	2	NUM
ejpam-3069	182	40	+	+	ADJ
ejpam-3069	182	41	(	(	PUNCT
ejpam-3069	182	42	1	1	NUM
ejpam-3069	182	43	+	+	NUM
ejpam-3069	182	44	δ	δ	PROPN
ejpam-3069	182	45	)	)	PUNCT
ejpam-3069	182	46	∥∥∥∥	∥∥∥∥	PROPN
ejpam-3069	182	47	1	1	NUM
ejpam-3069	182	48	c(t	c(t	PROPN
ejpam-3069	182	49	)	)	PUNCT
ejpam-3069	182	50	∥∥∥∥	∥∥∥∥	NUM
ejpam-3069	182	51	c[0,t	c[0,t	NOUN
ejpam-3069	182	52	]	]	PUNCT
ejpam-3069	182	53	√	√	PROPN
ejpam-3069	182	54	t	t	X
ejpam-3069	182	55	‖b(t)‖c[0,t	‖b(t)‖c[0,t	PROPN
ejpam-3069	182	56	]	]	PUNCT
ejpam-3069	183	1			PROPN
ejpam-3069	183	2	t∫	t∫	PROPN
ejpam-3069	183	3	0	0	NUM
ejpam-3069	184	1	∞∑	∞∑	NOUN
ejpam-3069	185	1	k=1	k=1	PUNCT
ejpam-3069	185	2	(	(	PUNCT
ejpam-3069	185	3	λ3k	λ3k	X
ejpam-3069	185	4	|gk(τ)dτ	|gk(τ)dτ	ADJ
ejpam-3069	185	5	|	|	NOUN
ejpam-3069	185	6	)	)	PUNCT
ejpam-3069	185	7	2	2	NUM
ejpam-3069	185	8	1	1	NUM
ejpam-3069	185	9	2	2	NUM
ejpam-3069	185	10			NUM
ejpam-3069	185	11			NOUN
ejpam-3069	185	12	,	,	PUNCT
ejpam-3069	185	13	(	(	PUNCT
ejpam-3069	185	14	40	40	NUM
ejpam-3069	185	15	)	)	PUNCT
ejpam-3069	185	16	∥∥∥b̃(t)∥∥∥	∥∥∥b̃(t)∥∥∥	PUNCT
ejpam-3069	186	1	c[0,t	c[0,t	NOUN
ejpam-3069	186	2	]	]	PUNCT
ejpam-3069	186	3	≤	≤	NUM
ejpam-3069	187	1	∥∥[h(t)]−1	∥∥[h(t)]−1	AUX
ejpam-3069	187	2	∥∥	∥∥	PRON
ejpam-3069	187	3	c[0,t	c[0,t	PROPN
ejpam-3069	187	4	]	]	PUNCT
ejpam-3069	187	5	e.	e.	PROPN
ejpam-3069	187	6	azizbayov	azizbayov	PROPN
ejpam-3069	187	7	,	,	PUNCT
ejpam-3069	187	8	y.	y.	PROPN
ejpam-3069	187	9	mehraliyev	mehraliyev	PROPN
ejpam-3069	187	10	/	/	SYM
ejpam-3069	187	11	eur	eur	PROPN
ejpam-3069	187	12	.	.	PUNCT
ejpam-3069	188	1	j.	j.	PROPN
ejpam-3069	188	2	pure	pure	PROPN
ejpam-3069	188	3	appl	appl	PROPN
ejpam-3069	188	4	.	.	PROPN
ejpam-3069	188	5	math	math	PROPN
ejpam-3069	188	6	,	,	PUNCT
ejpam-3069	188	7	10	10	NUM
ejpam-3069	188	8	(	(	PUNCT
ejpam-3069	188	9	5	5	NUM
ejpam-3069	188	10	)	)	PUNCT
ejpam-3069	188	11	(	(	PUNCT
ejpam-3069	188	12	2017	2017	NUM
ejpam-3069	188	13	)	)	PUNCT
ejpam-3069	188	14	,	,	PUNCT
ejpam-3069	188	15	981	981	NUM
ejpam-3069	188	16	-	-	SYM
ejpam-3069	188	17	994	994	NUM
ejpam-3069	188	18	990	990	NUM
ejpam-3069	188	19	×	×	NOUN
ejpam-3069	188	20	{	{	PUNCT
ejpam-3069	188	21	∥∥h1(t)(c(t)h′2(t)−	∥∥h1(t)(c(t)h′2(t)−	PROPN
ejpam-3069	188	22	f(1	f(1	PROPN
ejpam-3069	188	23	,	,	PUNCT
ejpam-3069	188	24	t))−	t))−	NOUN
ejpam-3069	188	25	h2(t)(c(t)h′1(t)−	h2(t)(c(t)h′1(t)−	PROPN
ejpam-3069	188	26	f(0	f(0	PROPN
ejpam-3069	188	27	,	,	PUNCT
ejpam-3069	188	28	t	t	PROPN
ejpam-3069	188	29	)	)	PUNCT
ejpam-3069	188	30	)	)	PUNCT
ejpam-3069	188	31	∥∥	∥∥	PRON
ejpam-3069	188	32	c[0,t	c[0,t	NOUN
ejpam-3069	188	33	]	]	PUNCT
ejpam-3069	189	1	+	+	CCONJ
ejpam-3069	189	2	(	(	PUNCT
ejpam-3069	189	3	∞∑	∞∑	NUM
ejpam-3069	189	4	k=1	k=1	X
ejpam-3069	189	5	λ−2k	λ−2k	ADP
ejpam-3069	189	6	)	)	PUNCT
ejpam-3069	189	7	1	1	NUM
ejpam-3069	189	8	2	2	NUM
ejpam-3069	189	9	‖|h1(t)|+	‖|h1(t)|+	X
ejpam-3069	189	10	|h2(t)|‖c[0,t	|h2(t)|‖c[0,t	NOUN
ejpam-3069	189	11	]	]	PUNCT
ejpam-3069	189	12			PROPN
ejpam-3069	189	13	(	(	PUNCT
ejpam-3069	189	14	∞∑	∞∑	NUM
ejpam-3069	189	15	k=1	k=1	X
ejpam-3069	189	16	(	(	PUNCT
ejpam-3069	189	17	λ3k	λ3k	X
ejpam-3069	189	18	|ϕk|	|ϕk|	PROPN
ejpam-3069	189	19	)	)	PUNCT
ejpam-3069	189	20	2	2	NUM
ejpam-3069	189	21	)	)	PUNCT
ejpam-3069	189	22	1	1	NUM
ejpam-3069	189	23	2	2	NUM
ejpam-3069	189	24	+	+	ADJ
ejpam-3069	189	25	(	(	PUNCT
ejpam-3069	189	26	1	1	NUM
ejpam-3069	189	27	+	+	NUM
ejpam-3069	189	28	δ	δ	PROPN
ejpam-3069	189	29	)	)	PUNCT
ejpam-3069	189	30	∥∥∥∥	∥∥∥∥	PROPN
ejpam-3069	189	31	1	1	NUM
ejpam-3069	189	32	c(t	c(t	PROPN
ejpam-3069	189	33	)	)	PUNCT
ejpam-3069	189	34	∥∥∥∥	∥∥∥∥	NUM
ejpam-3069	189	35	c[0,t	c[0,t	NOUN
ejpam-3069	189	36	]	]	PUNCT
ejpam-3069	189	37	√	√	PROPN
ejpam-3069	189	38	t	t	NOUN
ejpam-3069	189	39	2∑	2∑	NOUN
ejpam-3069	189	40	i=1	i=1	X
ejpam-3069	190	1			PROPN
ejpam-3069	190	2	t∫	t∫	NOUN
ejpam-3069	190	3	0	0	NUM
ejpam-3069	191	1	∞∑	∞∑	NOUN
ejpam-3069	191	2	k=1	k=1	PUNCT
ejpam-3069	191	3	(	(	PUNCT
ejpam-3069	191	4	λ3k	λ3k	X
ejpam-3069	191	5	|fk(τ)|	|fk(τ)|	ADV
ejpam-3069	191	6	)	)	PUNCT
ejpam-3069	191	7	2	2	NUM
ejpam-3069	191	8	dτ	dτ	NOUN
ejpam-3069	191	9			PROPN
ejpam-3069	191	10	1	1	NUM
ejpam-3069	191	11	2	2	NUM
ejpam-3069	191	12	+	+	ADJ
ejpam-3069	191	13	(	(	PUNCT
ejpam-3069	191	14	1	1	NUM
ejpam-3069	191	15	+	+	NUM
ejpam-3069	191	16	δ	δ	PROPN
ejpam-3069	191	17	)	)	PUNCT
ejpam-3069	191	18	∥∥∥∥	∥∥∥∥	PROPN
ejpam-3069	191	19	1	1	NUM
ejpam-3069	191	20	c(t	c(t	PROPN
ejpam-3069	191	21	)	)	PUNCT
ejpam-3069	191	22	∥∥∥∥	∥∥∥∥	NUM
ejpam-3069	191	23	c[0,t	c[0,t	NOUN
ejpam-3069	191	24	]	]	PUNCT
ejpam-3069	191	25	t	t	PROPN
ejpam-3069	191	26	‖a(t)‖c[0,t	‖a(t)‖c[0,t	NOUN
ejpam-3069	191	27	]	]	X
ejpam-3069	191	28	(	(	PUNCT
ejpam-3069	191	29	∞∑	∞∑	NUM
ejpam-3069	191	30	k=1	k=1	X
ejpam-3069	191	31	(	(	PUNCT
ejpam-3069	191	32	λ3k	λ3k	X
ejpam-3069	191	33	‖uk(t)‖c[0,t	‖uk(t)‖c[0,t	NOUN
ejpam-3069	191	34	]	]	PUNCT
ejpam-3069	191	35	)	)	PUNCT
ejpam-3069	191	36	2	2	X
ejpam-3069	191	37	)	)	PUNCT
ejpam-3069	191	38	1	1	NUM
ejpam-3069	191	39	2	2	NUM
ejpam-3069	191	40	+	+	ADJ
ejpam-3069	191	41	(	(	PUNCT
ejpam-3069	191	42	1	1	NUM
ejpam-3069	191	43	+	+	NUM
ejpam-3069	191	44	δ	δ	PROPN
ejpam-3069	191	45	)	)	PUNCT
ejpam-3069	191	46	∥∥∥∥	∥∥∥∥	PROPN
ejpam-3069	191	47	1	1	NUM
ejpam-3069	191	48	c(t	c(t	PROPN
ejpam-3069	191	49	)	)	PUNCT
ejpam-3069	191	50	∥∥∥∥	∥∥∥∥	NUM
ejpam-3069	191	51	c[0,t	c[0,t	NOUN
ejpam-3069	191	52	]	]	PUNCT
ejpam-3069	191	53	√	√	PROPN
ejpam-3069	191	54	t	t	X
ejpam-3069	191	55	‖b(t)‖c[0,t	‖b(t)‖c[0,t	PROPN
ejpam-3069	191	56	]	]	PUNCT
ejpam-3069	192	1			PROPN
ejpam-3069	192	2	t∫	t∫	PROPN
ejpam-3069	192	3	0	0	NUM
ejpam-3069	193	1	∞∑	∞∑	NOUN
ejpam-3069	194	1	k=1	k=1	PUNCT
ejpam-3069	194	2	(	(	PUNCT
ejpam-3069	194	3	λ3k	λ3k	X
ejpam-3069	194	4	|gk(τ)dτ	|gk(τ)dτ	ADJ
ejpam-3069	194	5	|	|	NOUN
ejpam-3069	194	6	)	)	PUNCT
ejpam-3069	194	7	2	2	NUM
ejpam-3069	194	8	1	1	NUM
ejpam-3069	194	9	2	2	NUM
ejpam-3069	194	10			NUM
ejpam-3069	194	11			DET
ejpam-3069	194	12	.	.	PUNCT
ejpam-3069	195	1	(	(	PUNCT
ejpam-3069	195	2	41	41	NUM
ejpam-3069	195	3	)	)	PUNCT
ejpam-3069	195	4	suppose	suppose	VERB
ejpam-3069	195	5	that	that	SCONJ
ejpam-3069	195	6	the	the	DET
ejpam-3069	195	7	data	datum	NOUN
ejpam-3069	195	8	for	for	ADP
ejpam-3069	195	9	problem	problem	NOUN
ejpam-3069	195	10	(	(	PUNCT
ejpam-3069	195	11	1)-(3	1)-(3	NUM
ejpam-3069	195	12	)	)	PUNCT
ejpam-3069	195	13	,	,	PUNCT
ejpam-3069	195	14	and	and	CCONJ
ejpam-3069	195	15	(	(	PUNCT
ejpam-3069	195	16	12)-(14	12)-(14	NUM
ejpam-3069	195	17	)	)	PUNCT
ejpam-3069	195	18	satisfy	satisfy	VERB
ejpam-3069	195	19	the	the	DET
ejpam-3069	195	20	following	follow	VERB
ejpam-3069	195	21	conditions	condition	NOUN
ejpam-3069	195	22	a1	a1	NOUN
ejpam-3069	195	23	)	)	PUNCT
ejpam-3069	195	24	ϕ(x	ϕ(x	NOUN
ejpam-3069	195	25	)	)	PUNCT
ejpam-3069	195	26	∈	∈	PROPN
ejpam-3069	195	27	c2[0	c2[0	PROPN
ejpam-3069	195	28	,	,	PUNCT
ejpam-3069	195	29	1	1	NUM
ejpam-3069	195	30	]	]	PUNCT
ejpam-3069	195	31	,	,	PUNCT
ejpam-3069	195	32	ϕ′′′(x	ϕ′′′(x	PROPN
ejpam-3069	195	33	)	)	PUNCT
ejpam-3069	195	34	∈	∈	PROPN
ejpam-3069	195	35	l2(0	l2(0	NOUN
ejpam-3069	195	36	,	,	PUNCT
ejpam-3069	195	37	1	1	NUM
ejpam-3069	195	38	)	)	PUNCT
ejpam-3069	195	39	,	,	PUNCT
ejpam-3069	195	40	ϕ′(0	ϕ′(0	X
ejpam-3069	195	41	)	)	PUNCT
ejpam-3069	196	1	=	=	PUNCT
ejpam-3069	196	2	ϕ′(1	ϕ′(1	PROPN
ejpam-3069	196	3	)	)	PUNCT
ejpam-3069	196	4	=	=	SYM
ejpam-3069	196	5	0	0	NUM
ejpam-3069	196	6	;	;	PUNCT
ejpam-3069	196	7	a2	a2	PROPN
ejpam-3069	196	8	)	)	PUNCT
ejpam-3069	196	9	f(x	f(x	PROPN
ejpam-3069	196	10	,	,	PUNCT
ejpam-3069	196	11	t	t	PROPN
ejpam-3069	196	12	)	)	PUNCT
ejpam-3069	196	13	,	,	PUNCT
ejpam-3069	196	14	fx(x	fx(x	X
ejpam-3069	196	15	,	,	PUNCT
ejpam-3069	196	16	t	t	PROPN
ejpam-3069	196	17	)	)	PUNCT
ejpam-3069	196	18	,	,	PUNCT
ejpam-3069	196	19	fxx(x	fxx(x	PROPN
ejpam-3069	196	20	,	,	PUNCT
ejpam-3069	196	21	t	t	PROPN
ejpam-3069	196	22	)	)	PUNCT
ejpam-3069	196	23	∈	∈	PROPN
ejpam-3069	196	24	c2[0	c2[0	PROPN
ejpam-3069	196	25	,	,	PUNCT
ejpam-3069	196	26	1	1	NUM
ejpam-3069	196	27	]	]	PUNCT
ejpam-3069	196	28	,	,	PUNCT
ejpam-3069	196	29	fxxx(x	fxxx(x	PROPN
ejpam-3069	196	30	,	,	PUNCT
ejpam-3069	196	31	t	t	PROPN
ejpam-3069	196	32	)	)	PUNCT
ejpam-3069	196	33	∈	∈	PROPN
ejpam-3069	196	34	l2(qt	l2(qt	PROPN
ejpam-3069	196	35	)	)	PUNCT
ejpam-3069	196	36	,	,	PUNCT
ejpam-3069	196	37	fx(0	fx(0	PROPN
ejpam-3069	196	38	,	,	PUNCT
ejpam-3069	196	39	t	t	PROPN
ejpam-3069	196	40	)	)	PUNCT
ejpam-3069	196	41	=	=	SYM
ejpam-3069	197	1	fx(1	fx(1	PROPN
ejpam-3069	197	2	,	,	PUNCT
ejpam-3069	197	3	t	t	PROPN
ejpam-3069	197	4	)	)	PUNCT
ejpam-3069	197	5	=	=	SYM
ejpam-3069	197	6	0	0	PUNCT
ejpam-3069	197	7	(	(	PUNCT
ejpam-3069	197	8	0	0	NUM
ejpam-3069	197	9	≤	≤	PROPN
ejpam-3069	197	10	t	t	PROPN
ejpam-3069	197	11	≤	≤	PROPN
ejpam-3069	197	12	t	t	PROPN
ejpam-3069	197	13	)	)	PUNCT
ejpam-3069	197	14	;	;	PUNCT
ejpam-3069	197	15	a3	a3	NOUN
ejpam-3069	197	16	)	)	PUNCT
ejpam-3069	197	17	g(x	g(x	PROPN
ejpam-3069	197	18	,	,	PUNCT
ejpam-3069	197	19	t	t	PROPN
ejpam-3069	197	20	)	)	PUNCT
ejpam-3069	197	21	,	,	PUNCT
ejpam-3069	197	22	gx(x	gx(x	NOUN
ejpam-3069	197	23	,	,	PUNCT
ejpam-3069	197	24	t	t	PROPN
ejpam-3069	197	25	)	)	PUNCT
ejpam-3069	197	26	,	,	PUNCT
ejpam-3069	197	27	gxx(x	gxx(x	PROPN
ejpam-3069	197	28	,	,	PUNCT
ejpam-3069	197	29	t	t	PROPN
ejpam-3069	197	30	)	)	PUNCT
ejpam-3069	197	31	∈	∈	PROPN
ejpam-3069	198	1	c2[0	c2[0	PROPN
ejpam-3069	198	2	,	,	PUNCT
ejpam-3069	198	3	1	1	NUM
ejpam-3069	198	4	]	]	PUNCT
ejpam-3069	198	5	,	,	PUNCT
ejpam-3069	198	6	gxxx(x	gxxx(x	PROPN
ejpam-3069	198	7	,	,	PUNCT
ejpam-3069	198	8	t	t	PROPN
ejpam-3069	198	9	)	)	PUNCT
ejpam-3069	198	10	∈	∈	PROPN
ejpam-3069	198	11	l2(qt	l2(qt	PROPN
ejpam-3069	198	12	)	)	PUNCT
ejpam-3069	198	13	,	,	PUNCT
ejpam-3069	198	14	gx(0	gx(0	PROPN
ejpam-3069	198	15	,	,	PUNCT
ejpam-3069	198	16	t	t	PROPN
ejpam-3069	198	17	)	)	PUNCT
ejpam-3069	198	18	=	=	PUNCT
ejpam-3069	199	1	gx(1	gx(1	PROPN
ejpam-3069	199	2	,	,	PUNCT
ejpam-3069	199	3	t	t	PROPN
ejpam-3069	199	4	)	)	PUNCT
ejpam-3069	199	5	=	=	SYM
ejpam-3069	199	6	0	0	PUNCT
ejpam-3069	199	7	(	(	PUNCT
ejpam-3069	199	8	0	0	NUM
ejpam-3069	199	9	≤	≤	PROPN
ejpam-3069	199	10	t	t	PROPN
ejpam-3069	199	11	≤	≤	PROPN
ejpam-3069	199	12	t	t	PROPN
ejpam-3069	199	13	)	)	PUNCT
ejpam-3069	199	14	;	;	PUNCT
ejpam-3069	199	15	a4	a4	X
ejpam-3069	199	16	)	)	PUNCT
ejpam-3069	199	17	δ	δ	PROPN
ejpam-3069	199	18	≥	≥	NUM
ejpam-3069	199	19	0	0	NUM
ejpam-3069	199	20	,	,	PUNCT
ejpam-3069	199	21	hi(t	hi(t	NOUN
ejpam-3069	199	22	)	)	PUNCT
ejpam-3069	199	23	∈	∈	PROPN
ejpam-3069	199	24	c1[0	c1[0	PROPN
ejpam-3069	199	25	,	,	PUNCT
ejpam-3069	199	26	t	t	X
ejpam-3069	199	27	]	]	PUNCT
ejpam-3069	199	28	(	(	PUNCT
ejpam-3069	199	29	i	i	NOUN
ejpam-3069	199	30	=	=	NOUN
ejpam-3069	199	31	1	1	NUM
ejpam-3069	199	32	,	,	PUNCT
ejpam-3069	199	33	2	2	NUM
ejpam-3069	199	34	)	)	PUNCT
ejpam-3069	199	35	,	,	PUNCT
ejpam-3069	199	36	h(t	h(t	PROPN
ejpam-3069	199	37	)	)	PUNCT
ejpam-3069	199	38	=	=	SYM
ejpam-3069	200	1	h1(t)g(1	h1(t)g(1	NUM
ejpam-3069	200	2	,	,	PUNCT
ejpam-3069	200	3	t)−h2(t)g(0	t)−h2(t)g(0	NOUN
ejpam-3069	200	4	,	,	PUNCT
ejpam-3069	200	5	t	t	PROPN
ejpam-3069	200	6	)	)	PUNCT
ejpam-3069	200	7	6=	6=	ADP
ejpam-3069	200	8	0	0	NUM
ejpam-3069	200	9	(	(	PUNCT
ejpam-3069	200	10	0	0	NUM
ejpam-3069	200	11	≤	≤	PROPN
ejpam-3069	200	12	t	t	NOUN
ejpam-3069	200	13	≤	≤	PROPN
ejpam-3069	200	14	t	t	PROPN
ejpam-3069	200	15	)	)	PUNCT
ejpam-3069	200	16	.	.	PUNCT
ejpam-3069	201	1	then	then	ADV
ejpam-3069	201	2	from	from	ADP
ejpam-3069	201	3	(	(	PUNCT
ejpam-3069	201	4	33)-(35	33)-(35	NUM
ejpam-3069	201	5	)	)	PUNCT
ejpam-3069	201	6	we	we	PRON
ejpam-3069	201	7	find	find	VERB
ejpam-3069	201	8	that	that	SCONJ
ejpam-3069	201	9	‖ũ(x	‖ũ(x	NOUN
ejpam-3069	201	10	,	,	PUNCT
ejpam-3069	201	11	t)‖b3	t)‖b3	NOUN
ejpam-3069	201	12	2,t	2,t	NUM
ejpam-3069	201	13	≤	≤	NUM
ejpam-3069	201	14	a1(t	a1(t	ADV
ejpam-3069	201	15	)	)	PUNCT
ejpam-3069	202	1	+	+	PROPN
ejpam-3069	202	2	b1(t	b1(t	X
ejpam-3069	202	3	)	)	PUNCT
ejpam-3069	203	1	‖a(t)‖c[0,t	‖a(t)‖c[0,t	NOUN
ejpam-3069	203	2	]	]	PUNCT
ejpam-3069	203	3	‖u(x	‖u(x	NOUN
ejpam-3069	203	4	,	,	PUNCT
ejpam-3069	203	5	t)‖b3	t)‖b3	NOUN
ejpam-3069	203	6	2,t	2,t	NUM
ejpam-3069	203	7	+	+	NOUN
ejpam-3069	203	8	d1(t	d1(t	ADJ
ejpam-3069	203	9	)	)	PUNCT
ejpam-3069	203	10	‖b(t)‖c[0,t	‖b(t)‖c[0,t	PROPN
ejpam-3069	203	11	]	]	PUNCT
ejpam-3069	203	12	,	,	PUNCT
ejpam-3069	203	13	(	(	PUNCT
ejpam-3069	203	14	42	42	X
ejpam-3069	203	15	)	)	PUNCT
ejpam-3069	203	16	‖ã(t)‖c[0,t	‖ã(t)‖c[0,t	NOUN
ejpam-3069	203	17	]	]	PUNCT
ejpam-3069	203	18	≤	≤	PUNCT
ejpam-3069	203	19	a2(t	a2(t	PUNCT
ejpam-3069	203	20	)	)	PUNCT
ejpam-3069	204	1	+	+	ADJ
ejpam-3069	204	2	b2(t	b2(t	X
ejpam-3069	204	3	)	)	PUNCT
ejpam-3069	204	4	‖a(t)‖c[0,t	‖a(t)‖c[0,t	NOUN
ejpam-3069	204	5	]	]	PUNCT
ejpam-3069	204	6	‖u(x	‖u(x	NOUN
ejpam-3069	204	7	,	,	PUNCT
ejpam-3069	204	8	t)‖b3	t)‖b3	NOUN
ejpam-3069	204	9	2,t	2,t	NOUN
ejpam-3069	204	10	+	+	ADJ
ejpam-3069	204	11	d2(t	d2(t	PROPN
ejpam-3069	204	12	)	)	PUNCT
ejpam-3069	204	13	‖b(t)‖c[0,t	‖b(t)‖c[0,t	PROPN
ejpam-3069	204	14	]	]	PUNCT
ejpam-3069	204	15	,	,	PUNCT
ejpam-3069	204	16	(	(	PUNCT
ejpam-3069	204	17	43)∥∥∥b̃(t)∥∥∥	43)∥∥∥b̃(t)∥∥∥	NUM
ejpam-3069	204	18	c[0,t	c[0,t	NOUN
ejpam-3069	204	19	]	]	PUNCT
ejpam-3069	204	20	≤	≤	PROPN
ejpam-3069	205	1	a3(t	a3(t	PROPN
ejpam-3069	205	2	)	)	PUNCT
ejpam-3069	206	1	+	+	PROPN
ejpam-3069	206	2	b3(t	b3(t	NOUN
ejpam-3069	206	3	)	)	PUNCT
ejpam-3069	206	4	‖a(t)‖c[0,t	‖a(t)‖c[0,t	NOUN
ejpam-3069	206	5	]	]	PUNCT
ejpam-3069	206	6	‖u(x	‖u(x	NOUN
ejpam-3069	206	7	,	,	PUNCT
ejpam-3069	206	8	t)‖b3	t)‖b3	NOUN
ejpam-3069	206	9	2,t	2,t	NOUN
ejpam-3069	206	10	+	+	ADP
ejpam-3069	206	11	d3(t	d3(t	PROPN
ejpam-3069	206	12	)	)	PUNCT
ejpam-3069	206	13	‖b(t)‖c[0,t	‖b(t)‖c[0,t	PROPN
ejpam-3069	206	14	]	]	PUNCT
ejpam-3069	206	15	,	,	PUNCT
ejpam-3069	206	16	(	(	PUNCT
ejpam-3069	206	17	44	44	NUM
ejpam-3069	206	18	)	)	PUNCT
ejpam-3069	206	19	where	where	SCONJ
ejpam-3069	206	20	a1(t	a1(t	ADV
ejpam-3069	206	21	)	)	PUNCT
ejpam-3069	206	22	=	=	SYM
ejpam-3069	207	1	(	(	PUNCT
ejpam-3069	207	2	1	1	NUM
ejpam-3069	207	3	+	+	CCONJ
ejpam-3069	207	4	δ)−1	δ)−1	NOUN
ejpam-3069	207	5	(	(	PUNCT
ejpam-3069	207	6	2	2	NUM
ejpam-3069	207	7	‖ϕ(x)‖l2(0,1	‖ϕ(x)‖l2(0,1	ADV
ejpam-3069	207	8	)	)	PUNCT
ejpam-3069	208	1	+	+	CCONJ
ejpam-3069	208	2	2δ	2δ	NUM
ejpam-3069	208	3	∥∥∥∥	∥∥∥∥	SYM
ejpam-3069	208	4	1	1	NUM
ejpam-3069	208	5	c(t	c(t	PROPN
ejpam-3069	208	6	)	)	PUNCT
ejpam-3069	208	7	∥∥∥∥	∥∥∥∥	NUM
ejpam-3069	208	8	c[0,t	c[0,t	NOUN
ejpam-3069	208	9	]	]	PUNCT
ejpam-3069	208	10	‖f(x	‖f(x	ADP
ejpam-3069	208	11	,	,	PUNCT
ejpam-3069	208	12	t)‖l2(qt	t)‖l2(qt	PROPN
ejpam-3069	208	13	)	)	PUNCT
ejpam-3069	208	14	)	)	PUNCT
ejpam-3069	209	1	+	+	CCONJ
ejpam-3069	209	2	∥∥∥∥	∥∥∥∥	NOUN
ejpam-3069	209	3	1	1	NUM
ejpam-3069	209	4	c(t	c(t	PROPN
ejpam-3069	209	5	)	)	PUNCT
ejpam-3069	209	6	∥∥∥∥	∥∥∥∥	NUM
ejpam-3069	209	7	c[0,t	c[0,t	NOUN
ejpam-3069	209	8	]	]	PUNCT
ejpam-3069	209	9	‖f(x	‖f(x	ADP
ejpam-3069	209	10	,	,	PUNCT
ejpam-3069	209	11	t)‖l2(qt	t)‖l2(qt	PROPN
ejpam-3069	209	12	)	)	PUNCT
ejpam-3069	210	1	+	+	CCONJ
ejpam-3069	210	2	√	√	NUM
ejpam-3069	210	3	5	5	NUM
ejpam-3069	210	4	∥∥ϕ′′′(x	∥∥ϕ′′′(x	NOUN
ejpam-3069	210	5	)	)	PUNCT
ejpam-3069	210	6	∥∥	∥∥	X
ejpam-3069	210	7	l2(0,1	l2(0,1	ADV
ejpam-3069	210	8	)	)	PUNCT
ejpam-3069	211	1	+	+	CCONJ
ejpam-3069	211	2	√	√	NUM
ejpam-3069	211	3	5	5	NUM
ejpam-3069	211	4	t	t	NOUN
ejpam-3069	211	5	∥∥∥∥	∥∥∥∥	NUM
ejpam-3069	211	6	1	1	NUM
ejpam-3069	211	7	c(t	c(t	PROPN
ejpam-3069	211	8	)	)	PUNCT
ejpam-3069	211	9	∥∥∥∥	∥∥∥∥	NUM
ejpam-3069	211	10	c[0,t	c[0,t	NOUN
ejpam-3069	211	11	]	]	PUNCT
ejpam-3069	211	12	‖fxxx(x	‖fxxx(x	PROPN
ejpam-3069	211	13	,	,	PUNCT
ejpam-3069	211	14	t)‖l2(qt	t)‖l2(qt	PROPN
ejpam-3069	211	15	)	)	PUNCT
ejpam-3069	211	16	,	,	PUNCT
ejpam-3069	211	17	e.	e.	PROPN
ejpam-3069	211	18	azizbayov	azizbayov	PROPN
ejpam-3069	211	19	,	,	PUNCT
ejpam-3069	211	20	y.	y.	PROPN
ejpam-3069	211	21	mehraliyev	mehraliyev	PROPN
ejpam-3069	211	22	/	/	SYM
ejpam-3069	211	23	eur	eur	PROPN
ejpam-3069	211	24	.	.	PUNCT
ejpam-3069	212	1	j.	j.	PROPN
ejpam-3069	212	2	pure	pure	PROPN
ejpam-3069	212	3	appl	appl	PROPN
ejpam-3069	212	4	.	.	PROPN
ejpam-3069	212	5	math	math	PROPN
ejpam-3069	212	6	,	,	PUNCT
ejpam-3069	212	7	10	10	NUM
ejpam-3069	212	8	(	(	PUNCT
ejpam-3069	212	9	5	5	NUM
ejpam-3069	212	10	)	)	PUNCT
ejpam-3069	212	11	(	(	PUNCT
ejpam-3069	212	12	2017	2017	NUM
ejpam-3069	212	13	)	)	PUNCT
ejpam-3069	212	14	,	,	PUNCT
ejpam-3069	212	15	981	981	NUM
ejpam-3069	212	16	-	-	SYM
ejpam-3069	212	17	994	994	NUM
ejpam-3069	212	18	991	991	NUM
ejpam-3069	212	19	b1(t	b1(t	PUNCT
ejpam-3069	212	20	)	)	PUNCT
ejpam-3069	213	1	=	=	SYM
ejpam-3069	213	2	(	(	PUNCT
ejpam-3069	213	3	δ(1	δ(1	NOUN
ejpam-3069	213	4	+	+	CCONJ
ejpam-3069	213	5	δ)−1	δ)−1	NOUN
ejpam-3069	213	6	+	+	CCONJ
ejpam-3069	213	7	1	1	NUM
ejpam-3069	213	8	)	)	PUNCT
ejpam-3069	213	9	t	t	NOUN
ejpam-3069	213	10	∥∥∥∥	∥∥∥∥	NUM
ejpam-3069	213	11	1	1	NUM
ejpam-3069	213	12	c(t	c(t	PROPN
ejpam-3069	213	13	)	)	PUNCT
ejpam-3069	213	14	∥∥∥∥	∥∥∥∥	NUM
ejpam-3069	213	15	c[0,t	c[0,t	NOUN
ejpam-3069	213	16	]	]	PUNCT
ejpam-3069	213	17	,	,	PUNCT
ejpam-3069	213	18	d1(t	d1(t	PROPN
ejpam-3069	213	19	)	)	PUNCT
ejpam-3069	213	20	=	=	SYM
ejpam-3069	213	21	(	(	PUNCT
ejpam-3069	213	22	δ(1	δ(1	NOUN
ejpam-3069	213	23	+	+	CCONJ
ejpam-3069	213	24	δ)−1	δ)−1	NOUN
ejpam-3069	213	25	+	+	CCONJ
ejpam-3069	213	26	√	√	NUM
ejpam-3069	213	27	5	5	NUM
ejpam-3069	213	28	)	)	PUNCT
ejpam-3069	213	29	√	√	PROPN
ejpam-3069	213	30	t	t	NOUN
ejpam-3069	213	31	∥∥∥∥	∥∥∥∥	NUM
ejpam-3069	213	32	1	1	NUM
ejpam-3069	213	33	c(t	c(t	PROPN
ejpam-3069	213	34	)	)	PUNCT
ejpam-3069	213	35	∥∥∥∥	∥∥∥∥	NUM
ejpam-3069	214	1	c[0,t	c[0,t	NOUN
ejpam-3069	214	2	]	]	PUNCT
ejpam-3069	214	3	‖gxxx(x	‖gxxx(x	PROPN
ejpam-3069	214	4	,	,	PUNCT
ejpam-3069	214	5	t)‖l2(qt	t)‖l2(qt	PROPN
ejpam-3069	214	6	)	)	PUNCT
ejpam-3069	214	7	,	,	PUNCT
ejpam-3069	214	8	a2(t	a2(t	PROPN
ejpam-3069	214	9	)	)	PUNCT
ejpam-3069	215	1	=	=	PUNCT
ejpam-3069	215	2	∥∥[h(t)]−1	∥∥[h(t)]−1	AUX
ejpam-3069	215	3	∥∥	∥∥	PRON
ejpam-3069	215	4	c[0,t	c[0,t	NOUN
ejpam-3069	215	5	]	]	X
ejpam-3069	215	6	×	×	NOUN
ejpam-3069	215	7	{	{	PUNCT
ejpam-3069	215	8	∥∥(c(t)h′1(t)−	∥∥(c(t)h′1(t)−	ADJ
ejpam-3069	215	9	f(0	f(0	NOUN
ejpam-3069	215	10	,	,	PUNCT
ejpam-3069	215	11	t))g(1	t))g(1	NOUN
ejpam-3069	215	12	,	,	PUNCT
ejpam-3069	215	13	t)−	t)−	PROPN
ejpam-3069	215	14	(	(	PUNCT
ejpam-3069	215	15	c(t)h′2(t)−	c(t)h′2(t)−	PROPN
ejpam-3069	215	16	f(1	f(1	PROPN
ejpam-3069	215	17	,	,	PUNCT
ejpam-3069	215	18	t))g(0	t))g(0	NOUN
ejpam-3069	215	19	,	,	PUNCT
ejpam-3069	215	20	t	t	PROPN
ejpam-3069	215	21	)	)	PUNCT
ejpam-3069	215	22	)	)	PUNCT
ejpam-3069	215	23	∥∥	∥∥	PRON
ejpam-3069	215	24	c[0,t	c[0,t	NOUN
ejpam-3069	215	25	]	]	PUNCT
ejpam-3069	216	1	+	+	CCONJ
ejpam-3069	216	2	(	(	PUNCT
ejpam-3069	216	3	∞∑	∞∑	NUM
ejpam-3069	216	4	k=1	k=1	X
ejpam-3069	216	5	λ−2k	λ−2k	ADP
ejpam-3069	216	6	)	)	PUNCT
ejpam-3069	216	7	1	1	NUM
ejpam-3069	216	8	2	2	NUM
ejpam-3069	216	9	‖|g(x1	‖|g(x1	ADJ
ejpam-3069	216	10	,	,	PUNCT
ejpam-3069	216	11	t)|+	t)|+	NOUN
ejpam-3069	216	12	|g(x2	|g(x2	NOUN
ejpam-3069	216	13	,	,	PUNCT
ejpam-3069	216	14	t)|‖c[0,t	t)|‖c[0,t	NOUN
ejpam-3069	216	15	]	]	PUNCT
ejpam-3069	216	16	×	×	NOUN
ejpam-3069	216	17	[	[	X
ejpam-3069	216	18	∥∥ϕ′′′(x	∥∥ϕ′′′(x	NOUN
ejpam-3069	216	19	)	)	PUNCT
ejpam-3069	216	20	∥∥	∥∥	X
ejpam-3069	216	21	l2(0,1	l2(0,1	ADV
ejpam-3069	216	22	)	)	PUNCT
ejpam-3069	217	1	+	+	CCONJ
ejpam-3069	217	2	(	(	PUNCT
ejpam-3069	217	3	1	1	NUM
ejpam-3069	217	4	+	+	NUM
ejpam-3069	217	5	δ	δ	PROPN
ejpam-3069	217	6	)	)	PUNCT
ejpam-3069	217	7	∥∥∥∥	∥∥∥∥	PROPN
ejpam-3069	217	8	1	1	NUM
ejpam-3069	217	9	c(t	c(t	PROPN
ejpam-3069	217	10	)	)	PUNCT
ejpam-3069	217	11	∥∥∥∥	∥∥∥∥	NUM
ejpam-3069	217	12	c[0,t	c[0,t	NOUN
ejpam-3069	217	13	]	]	PUNCT
ejpam-3069	217	14	√	√	PROPN
ejpam-3069	217	15	t	t	PROPN
ejpam-3069	217	16	‖fxxx(x	‖fxxx(x	PROPN
ejpam-3069	217	17	,	,	PUNCT
ejpam-3069	217	18	t)‖l2(qt	t)‖l2(qt	PROPN
ejpam-3069	217	19	)	)	PUNCT
ejpam-3069	217	20	]	]	PUNCT
ejpam-3069	217	21	}	}	PUNCT
ejpam-3069	217	22	,	,	PUNCT
ejpam-3069	217	23	b2(t	b2(t	PROPN
ejpam-3069	217	24	)	)	PUNCT
ejpam-3069	217	25	=	=	SYM
ejpam-3069	218	1	∥∥[h(t)]−1	∥∥[h(t)]−1	AUX
ejpam-3069	218	2	∥∥	∥∥	X
ejpam-3069	218	3	c[0,t	c[0,t	NOUN
ejpam-3069	218	4	]	]	X
ejpam-3069	218	5	(	(	PUNCT
ejpam-3069	218	6	∞∑	∞∑	NUM
ejpam-3069	218	7	k=1	k=1	X
ejpam-3069	218	8	(	(	PUNCT
ejpam-3069	218	9	λ−2k	λ−2k	ADP
ejpam-3069	218	10	)	)	PUNCT
ejpam-3069	218	11	)	)	PUNCT
ejpam-3069	218	12	1	1	NUM
ejpam-3069	218	13	2	2	NUM
ejpam-3069	218	14	‖|g(x1	‖|g(x1	ADJ
ejpam-3069	218	15	,	,	PUNCT
ejpam-3069	218	16	t)|+	t)|+	NOUN
ejpam-3069	218	17	|g(x2	|g(x2	NOUN
ejpam-3069	218	18	,	,	PUNCT
ejpam-3069	218	19	t)|‖c[0,t	t)|‖c[0,t	NOUN
ejpam-3069	218	20	]	]	PUNCT
ejpam-3069	218	21	(	(	PUNCT
ejpam-3069	218	22	1	1	NUM
ejpam-3069	218	23	+	+	CCONJ
ejpam-3069	218	24	δ)t	δ)t	VERB
ejpam-3069	218	25	∥∥∥∥	∥∥∥∥	PROPN
ejpam-3069	218	26	1	1	NUM
ejpam-3069	218	27	c(t	c(t	PROPN
ejpam-3069	218	28	)	)	PUNCT
ejpam-3069	218	29	∥∥∥∥	∥∥∥∥	NUM
ejpam-3069	219	1	c[0,t	c[0,t	NOUN
ejpam-3069	219	2	]	]	PUNCT
ejpam-3069	219	3	,	,	PUNCT
ejpam-3069	219	4	d2(t	d2(t	PROPN
ejpam-3069	219	5	)	)	PUNCT
ejpam-3069	220	1	=	=	NOUN
ejpam-3069	221	1	∥∥[h(t)]−1	∥∥[h(t)]−1	AUX
ejpam-3069	221	2	∥∥	∥∥	X
ejpam-3069	221	3	c[0,t	c[0,t	NOUN
ejpam-3069	221	4	]	]	X
ejpam-3069	221	5	(	(	PUNCT
ejpam-3069	221	6	∞∑	∞∑	NUM
ejpam-3069	221	7	k=1	k=1	X
ejpam-3069	221	8	(	(	PUNCT
ejpam-3069	221	9	λ−2k	λ−2k	ADP
ejpam-3069	221	10	)	)	PUNCT
ejpam-3069	221	11	)	)	PUNCT
ejpam-3069	221	12	1	1	NUM
ejpam-3069	221	13	2	2	NUM
ejpam-3069	221	14	‖|g(1	‖|g(1	NOUN
ejpam-3069	221	15	,	,	PUNCT
ejpam-3069	221	16	t)|	t)|	NOUN
ejpam-3069	221	17	|g(0	|g(0	NOUN
ejpam-3069	221	18	,	,	PUNCT
ejpam-3069	221	19	t)|‖c[0,t	t)|‖c[0,t	NOUN
ejpam-3069	221	20	]	]	PUNCT
ejpam-3069	221	21	×(1	×(1	NOUN
ejpam-3069	221	22	+	+	CCONJ
ejpam-3069	221	23	δ	δ	PROPN
ejpam-3069	221	24	)	)	PUNCT
ejpam-3069	221	25	∥∥∥∥	∥∥∥∥	PROPN
ejpam-3069	221	26	1	1	NUM
ejpam-3069	221	27	c(t	c(t	PROPN
ejpam-3069	221	28	)	)	PUNCT
ejpam-3069	221	29	∥∥∥∥	∥∥∥∥	NUM
ejpam-3069	221	30	c[0,t	c[0,t	NOUN
ejpam-3069	221	31	]	]	PUNCT
ejpam-3069	221	32	√	√	PROPN
ejpam-3069	221	33	t	t	PROPN
ejpam-3069	221	34	‖fxxx(x	‖fxxx(x	PROPN
ejpam-3069	221	35	,	,	PUNCT
ejpam-3069	221	36	t)‖l2(qt	t)‖l2(qt	PROPN
ejpam-3069	221	37	)	)	PUNCT
ejpam-3069	221	38	,	,	PUNCT
ejpam-3069	221	39	a3(t	a3(t	PROPN
ejpam-3069	221	40	)	)	PUNCT
ejpam-3069	221	41	=	=	SYM
ejpam-3069	222	1	∥∥[h(t)]−1	∥∥[h(t)]−1	AUX
ejpam-3069	222	2	∥∥	∥∥	X
ejpam-3069	222	3	c[0,t	c[0,t	NOUN
ejpam-3069	222	4	]	]	PUNCT
ejpam-3069	222	5	{	{	PUNCT
ejpam-3069	222	6	∥∥h1(t)(c(t)h′2(t)−	∥∥h1(t)(c(t)h′2(t)−	PROPN
ejpam-3069	222	7	f(1	f(1	PROPN
ejpam-3069	222	8	,	,	PUNCT
ejpam-3069	222	9	t))−	t))−	NOUN
ejpam-3069	222	10	h2(t)(c(t)h′1(t)−	h2(t)(c(t)h′1(t)−	PROPN
ejpam-3069	222	11	f(0	f(0	PROPN
ejpam-3069	222	12	,	,	PUNCT
ejpam-3069	222	13	t	t	PROPN
ejpam-3069	222	14	)	)	PUNCT
ejpam-3069	222	15	)	)	PUNCT
ejpam-3069	223	1	∥∥	∥∥	PRON
ejpam-3069	223	2	c[0,t	c[0,t	NOUN
ejpam-3069	223	3	]	]	PUNCT
ejpam-3069	224	1	+	+	CCONJ
ejpam-3069	224	2	(	(	PUNCT
ejpam-3069	224	3	∞∑	∞∑	NUM
ejpam-3069	224	4	k=1	k=1	X
ejpam-3069	224	5	λ−2k	λ−2k	ADP
ejpam-3069	224	6	)	)	PUNCT
ejpam-3069	224	7	1	1	NUM
ejpam-3069	224	8	2	2	NUM
ejpam-3069	224	9	‖|h1(t)|+	‖|h1(t)|+	X
ejpam-3069	224	10	|h2(t)|‖c[0,t	|h2(t)|‖c[0,t	NOUN
ejpam-3069	224	11	]	]	PUNCT
ejpam-3069	224	12	×	×	NOUN
ejpam-3069	224	13	[	[	PUNCT
ejpam-3069	224	14	2	2	NUM
ejpam-3069	224	15	∥∥ϕ′′′(x	∥∥ϕ′′′(x	NOUN
ejpam-3069	224	16	)	)	PUNCT
ejpam-3069	224	17	∥∥	∥∥	X
ejpam-3069	224	18	l2(0,1	l2(0,1	ADV
ejpam-3069	224	19	)	)	PUNCT
ejpam-3069	225	1	+	+	PUNCT
ejpam-3069	225	2	2(1	2(1	NUM
ejpam-3069	225	3	+	+	CCONJ
ejpam-3069	226	1	δ	δ	PROPN
ejpam-3069	226	2	)	)	PUNCT
ejpam-3069	226	3	∥∥∥∥	∥∥∥∥	PROPN
ejpam-3069	226	4	1	1	NUM
ejpam-3069	226	5	c(t	c(t	PROPN
ejpam-3069	226	6	)	)	PUNCT
ejpam-3069	226	7	∥∥∥∥	∥∥∥∥	NUM
ejpam-3069	226	8	c[0,t	c[0,t	NOUN
ejpam-3069	226	9	]	]	PUNCT
ejpam-3069	226	10	√	√	PROPN
ejpam-3069	226	11	t	t	PROPN
ejpam-3069	226	12	‖fxxx(x	‖fxxx(x	PROPN
ejpam-3069	226	13	,	,	PUNCT
ejpam-3069	226	14	t)‖l2(qt	t)‖l2(qt	PROPN
ejpam-3069	226	15	)	)	PUNCT
ejpam-3069	227	1	]	]	PUNCT
ejpam-3069	227	2	}	}	PUNCT
ejpam-3069	227	3	,	,	PUNCT
ejpam-3069	227	4	b3(t	b3(t	X
ejpam-3069	227	5	)	)	PUNCT
ejpam-3069	227	6	=	=	SYM
ejpam-3069	227	7	∥∥[h(t)]−1	∥∥[h(t)]−1	AUX
ejpam-3069	227	8	∥∥	∥∥	X
ejpam-3069	227	9	c[0,t	c[0,t	NOUN
ejpam-3069	227	10	]	]	X
ejpam-3069	227	11	(	(	PUNCT
ejpam-3069	227	12	∞∑	∞∑	NUM
ejpam-3069	227	13	k=1	k=1	X
ejpam-3069	227	14	(	(	PUNCT
ejpam-3069	227	15	λ−2k	λ−2k	ADP
ejpam-3069	227	16	)	)	PUNCT
ejpam-3069	227	17	)	)	PUNCT
ejpam-3069	227	18	1	1	NUM
ejpam-3069	227	19	2	2	NUM
ejpam-3069	227	20	‖|h1(t)|+	‖|h1(t)|+	X
ejpam-3069	227	21	|h2(t)|‖c[0,t	|h2(t)|‖c[0,t	NOUN
ejpam-3069	227	22	]	]	X
ejpam-3069	227	23	(	(	PUNCT
ejpam-3069	227	24	1	1	NUM
ejpam-3069	227	25	+	+	CCONJ
ejpam-3069	227	26	δ)t	δ)t	VERB
ejpam-3069	227	27	∥∥∥∥	∥∥∥∥	PROPN
ejpam-3069	227	28	1	1	NUM
ejpam-3069	227	29	c(t	c(t	PROPN
ejpam-3069	227	30	)	)	PUNCT
ejpam-3069	227	31	∥∥∥∥	∥∥∥∥	NUM
ejpam-3069	228	1	c[0,t	c[0,t	NOUN
ejpam-3069	228	2	]	]	PUNCT
ejpam-3069	228	3	,	,	PUNCT
ejpam-3069	228	4	d3(t	d3(t	PROPN
ejpam-3069	228	5	)	)	PUNCT
ejpam-3069	228	6	=	=	SYM
ejpam-3069	229	1	∥∥[h(t)]−1	∥∥[h(t)]−1	AUX
ejpam-3069	229	2	∥∥	∥∥	X
ejpam-3069	229	3	c[0,t	c[0,t	NOUN
ejpam-3069	229	4	]	]	X
ejpam-3069	229	5	(	(	PUNCT
ejpam-3069	229	6	∞∑	∞∑	NUM
ejpam-3069	229	7	k=1	k=1	X
ejpam-3069	229	8	(	(	PUNCT
ejpam-3069	229	9	λ−2k	λ−2k	ADP
ejpam-3069	229	10	)	)	PUNCT
ejpam-3069	229	11	)	)	PUNCT
ejpam-3069	229	12	1	1	NUM
ejpam-3069	229	13	2	2	NUM
ejpam-3069	229	14	‖|h1(t)|+	‖|h1(t)|+	NOUN
ejpam-3069	229	15	|h2(t)|‖c[0,t	|h2(t)|‖c[0,t	NOUN
ejpam-3069	229	16	]	]	PUNCT
ejpam-3069	229	17	×(1	×(1	NOUN
ejpam-3069	229	18	+	+	CCONJ
ejpam-3069	229	19	δ	δ	PROPN
ejpam-3069	229	20	)	)	PUNCT
ejpam-3069	229	21	∥∥∥∥	∥∥∥∥	PROPN
ejpam-3069	229	22	1	1	NUM
ejpam-3069	229	23	c(t	c(t	PROPN
ejpam-3069	229	24	)	)	PUNCT
ejpam-3069	229	25	∥∥∥∥	∥∥∥∥	NUM
ejpam-3069	229	26	c[0,t	c[0,t	NOUN
ejpam-3069	229	27	]	]	PUNCT
ejpam-3069	229	28	√	√	PROPN
ejpam-3069	229	29	t	t	PROPN
ejpam-3069	229	30	‖fxxx(x	‖fxxx(x	PROPN
ejpam-3069	229	31	,	,	PUNCT
ejpam-3069	229	32	t)‖l2(qt	t)‖l2(qt	PROPN
ejpam-3069	229	33	)	)	PUNCT
ejpam-3069	229	34	.	.	PUNCT
ejpam-3069	230	1	e.	e.	PROPN
ejpam-3069	230	2	azizbayov	azizbayov	PROPN
ejpam-3069	230	3	,	,	PUNCT
ejpam-3069	230	4	y.	y.	PROPN
ejpam-3069	230	5	mehraliyev	mehraliyev	PROPN
ejpam-3069	230	6	/	/	SYM
ejpam-3069	230	7	eur	eur	PROPN
ejpam-3069	230	8	.	.	PUNCT
ejpam-3069	231	1	j.	j.	PROPN
ejpam-3069	231	2	pure	pure	PROPN
ejpam-3069	231	3	appl	appl	PROPN
ejpam-3069	231	4	.	.	PROPN
ejpam-3069	231	5	math	math	PROPN
ejpam-3069	231	6	,	,	PUNCT
ejpam-3069	231	7	10	10	NUM
ejpam-3069	231	8	(	(	PUNCT
ejpam-3069	231	9	5	5	NUM
ejpam-3069	231	10	)	)	PUNCT
ejpam-3069	231	11	(	(	PUNCT
ejpam-3069	231	12	2017	2017	NUM
ejpam-3069	231	13	)	)	PUNCT
ejpam-3069	231	14	,	,	PUNCT
ejpam-3069	231	15	981	981	NUM
ejpam-3069	231	16	-	-	SYM
ejpam-3069	231	17	994	994	NUM
ejpam-3069	231	18	992	992	NUM
ejpam-3069	231	19	from	from	ADP
ejpam-3069	231	20	the	the	DET
ejpam-3069	231	21	inequalities	inequality	NOUN
ejpam-3069	231	22	(	(	PUNCT
ejpam-3069	231	23	42)-(44	42)-(44	NUM
ejpam-3069	231	24	)	)	PUNCT
ejpam-3069	231	25	we	we	PRON
ejpam-3069	231	26	conclude	conclude	VERB
ejpam-3069	231	27	that	that	SCONJ
ejpam-3069	231	28	‖ũ(x	‖ũ(x	NOUN
ejpam-3069	231	29	,	,	PUNCT
ejpam-3069	231	30	t)‖b3	t)‖b3	NOUN
ejpam-3069	231	31	2,t	2,t	NOUN
ejpam-3069	231	32	+	+	CCONJ
ejpam-3069	231	33	‖ã(t)‖c[0,t	‖ã(t)‖c[0,t	NOUN
ejpam-3069	231	34	]	]	PUNCT
ejpam-3069	232	1	+	+	CCONJ
ejpam-3069	232	2	∥∥∥b̃(t)∥∥∥	∥∥∥b̃(t)∥∥∥	SYM
ejpam-3069	232	3	c[0,t	c[0,t	NOUN
ejpam-3069	232	4	]	]	PUNCT
ejpam-3069	232	5	≤	≤	NUM
ejpam-3069	232	6	a(t	a(t	NOUN
ejpam-3069	232	7	)	)	PUNCT
ejpam-3069	233	1	+	+	NOUN
ejpam-3069	233	2	b(t	b(t	NOUN
ejpam-3069	233	3	)	)	PUNCT
ejpam-3069	234	1	‖a(t)‖c[0,t	‖a(t)‖c[0,t	NOUN
ejpam-3069	234	2	]	]	PUNCT
ejpam-3069	234	3	‖u(x	‖u(x	NOUN
ejpam-3069	234	4	,	,	PUNCT
ejpam-3069	234	5	t)‖b3	t)‖b3	NOUN
ejpam-3069	234	6	2,t	2,t	NOUN
ejpam-3069	234	7	+	+	CCONJ
ejpam-3069	234	8	d(t	d(t	PROPN
ejpam-3069	234	9	)	)	PUNCT
ejpam-3069	234	10	‖b(t)‖c[0,t	‖b(t)‖c[0,t	PROPN
ejpam-3069	234	11	]	]	PUNCT
ejpam-3069	234	12	,	,	PUNCT
ejpam-3069	234	13	(	(	PUNCT
ejpam-3069	234	14	45	45	NUM
ejpam-3069	234	15	)	)	PUNCT
ejpam-3069	234	16	where	where	SCONJ
ejpam-3069	234	17	a(t	a(t	NOUN
ejpam-3069	234	18	)	)	PUNCT
ejpam-3069	235	1	=	=	PUNCT
ejpam-3069	235	2	a1(t	a1(t	ADV
ejpam-3069	235	3	)	)	PUNCT
ejpam-3069	236	1	+	+	ADV
ejpam-3069	236	2	a2(t	a2(t	X
ejpam-3069	236	3	)	)	PUNCT
ejpam-3069	236	4	+	+	NOUN
ejpam-3069	236	5	a3(t	a3(t	PROPN
ejpam-3069	236	6	)	)	PUNCT
ejpam-3069	236	7	,	,	PUNCT
ejpam-3069	236	8	b(t	b(t	NOUN
ejpam-3069	236	9	)	)	PUNCT
ejpam-3069	237	1	=	=	PUNCT
ejpam-3069	238	1	b1(t	b1(t	PUNCT
ejpam-3069	238	2	)	)	PUNCT
ejpam-3069	239	1	+	+	ADV
ejpam-3069	239	2	b2(t	b2(t	X
ejpam-3069	239	3	)	)	PUNCT
ejpam-3069	240	1	+	+	PROPN
ejpam-3069	240	2	b3(t	b3(t	NOUN
ejpam-3069	240	3	)	)	PUNCT
ejpam-3069	240	4	,	,	PUNCT
ejpam-3069	240	5	d(t	d(t	PROPN
ejpam-3069	240	6	)	)	PUNCT
ejpam-3069	240	7	=	=	PUNCT
ejpam-3069	240	8	d1(t	d1(t	PRON
ejpam-3069	240	9	)	)	PUNCT
ejpam-3069	241	1	+	+	ADP
ejpam-3069	241	2	d2(t	d2(t	NOUN
ejpam-3069	241	3	)	)	PUNCT
ejpam-3069	242	1	+	+	VERB
ejpam-3069	242	2	d3(t	d3(t	PROPN
ejpam-3069	242	3	)	)	PUNCT
ejpam-3069	242	4	.	.	PUNCT
ejpam-3069	243	1	theorem	theorem	NOUN
ejpam-3069	243	2	2	2	NUM
ejpam-3069	243	3	.	.	PUNCT
ejpam-3069	243	4	suppose	suppose	VERB
ejpam-3069	243	5	that	that	SCONJ
ejpam-3069	243	6	the	the	DET
ejpam-3069	243	7	conditions	condition	NOUN
ejpam-3069	243	8	a1)−a4	a1)−a4	ADV
ejpam-3069	243	9	)	)	PUNCT
ejpam-3069	243	10	and	and	CCONJ
ejpam-3069	243	11	the	the	DET
ejpam-3069	243	12	inequality	inequality	NOUN
ejpam-3069	243	13	[	[	X
ejpam-3069	243	14	b(t	b(t	NOUN
ejpam-3069	243	15	)	)	PUNCT
ejpam-3069	243	16	(	(	PUNCT
ejpam-3069	243	17	a(t	a(t	NOUN
ejpam-3069	243	18	)	)	PUNCT
ejpam-3069	243	19	+	+	CCONJ
ejpam-3069	243	20	2	2	X
ejpam-3069	243	21	)	)	PUNCT
ejpam-3069	243	22	+	+	NOUN
ejpam-3069	243	23	d(t	d(t	PROPN
ejpam-3069	243	24	)	)	PUNCT
ejpam-3069	243	25	]	]	PUNCT
ejpam-3069	243	26	(	(	PUNCT
ejpam-3069	243	27	a(t	a(t	NOUN
ejpam-3069	243	28	)	)	PUNCT
ejpam-3069	243	29	+	+	CCONJ
ejpam-3069	243	30	2	2	X
ejpam-3069	243	31	)	)	PUNCT
ejpam-3069	243	32	<	<	X
ejpam-3069	243	33	1	1	NUM
ejpam-3069	243	34	(	(	PUNCT
ejpam-3069	243	35	46	46	NUM
ejpam-3069	243	36	)	)	PUNCT
ejpam-3069	243	37	hold	hold	VERB
ejpam-3069	243	38	,	,	PUNCT
ejpam-3069	243	39	then	then	ADV
ejpam-3069	243	40	problem	problem	NOUN
ejpam-3069	243	41	(	(	PUNCT
ejpam-3069	243	42	1)-(3	1)-(3	NUM
ejpam-3069	243	43	)	)	PUNCT
ejpam-3069	243	44	,	,	PUNCT
ejpam-3069	243	45	(	(	PUNCT
ejpam-3069	243	46	12)-(14	12)-(14	NOUN
ejpam-3069	243	47	)	)	PUNCT
ejpam-3069	243	48	has	have	VERB
ejpam-3069	243	49	a	a	DET
ejpam-3069	243	50	unique	unique	ADJ
ejpam-3069	243	51	solution	solution	NOUN
ejpam-3069	243	52	in	in	ADP
ejpam-3069	243	53	the	the	DET
ejpam-3069	243	54	ball	ball	NOUN
ejpam-3069	243	55	k	k	PROPN
ejpam-3069	243	56	=	=	SYM
ejpam-3069	243	57	kr(‖z‖e3	kr(‖z‖e3	PROPN
ejpam-3069	243	58	t	t	NOUN
ejpam-3069	243	59	≤	≤	NUM
ejpam-3069	243	60	r	r	NOUN
ejpam-3069	243	61	≤	≤	NOUN
ejpam-3069	243	62	a(t	a(t	NOUN
ejpam-3069	243	63	)	)	PUNCT
ejpam-3069	244	1	+	+	CCONJ
ejpam-3069	244	2	2	2	X
ejpam-3069	244	3	)	)	PUNCT
ejpam-3069	244	4	of	of	ADP
ejpam-3069	244	5	the	the	DET
ejpam-3069	244	6	space	space	NOUN
ejpam-3069	244	7	e3	e3	NOUN
ejpam-3069	244	8	t	t	NOUN
ejpam-3069	244	9	.	.	PUNCT
ejpam-3069	245	1	proof	proof	NOUN
ejpam-3069	245	2	.	.	PUNCT
ejpam-3069	246	1	in	in	ADP
ejpam-3069	246	2	the	the	DET
ejpam-3069	246	3	space	space	NOUN
ejpam-3069	246	4	e3	e3	NOUN
ejpam-3069	246	5	t	t	NOUN
ejpam-3069	246	6	,	,	PUNCT
ejpam-3069	246	7	we	we	PRON
ejpam-3069	246	8	consider	consider	VERB
ejpam-3069	246	9	the	the	DET
ejpam-3069	246	10	equation	equation	NOUN
ejpam-3069	246	11	z	z	NOUN
ejpam-3069	246	12	=	=	SYM
ejpam-3069	246	13	φz	φz	PROPN
ejpam-3069	246	14	,	,	PUNCT
ejpam-3069	246	15	(	(	PUNCT
ejpam-3069	246	16	47	47	NUM
ejpam-3069	246	17	)	)	PUNCT
ejpam-3069	246	18	where	where	SCONJ
ejpam-3069	246	19	z	z	NOUN
ejpam-3069	246	20	=	=	PRON
ejpam-3069	246	21	{	{	PUNCT
ejpam-3069	246	22	u	u	NOUN
ejpam-3069	246	23	,	,	PUNCT
ejpam-3069	246	24	a	a	PRON
ejpam-3069	246	25	,	,	PUNCT
ejpam-3069	246	26	b	b	NOUN
ejpam-3069	246	27	}	}	PUNCT
ejpam-3069	246	28	,	,	PUNCT
ejpam-3069	246	29	and	and	CCONJ
ejpam-3069	246	30	components	component	NOUN
ejpam-3069	246	31	φi(u	φi(u	NUM
ejpam-3069	246	32	,	,	PUNCT
ejpam-3069	246	33	a	a	DET
ejpam-3069	246	34	,	,	PUNCT
ejpam-3069	246	35	b	b	NOUN
ejpam-3069	246	36	)	)	PUNCT
ejpam-3069	246	37	(	(	PUNCT
ejpam-3069	246	38	i	i	NOUN
ejpam-3069	246	39	=	=	NOUN
ejpam-3069	246	40	1	1	NUM
ejpam-3069	246	41	,	,	PUNCT
ejpam-3069	246	42	2	2	NUM
ejpam-3069	246	43	,	,	PUNCT
ejpam-3069	246	44	3	3	NUM
ejpam-3069	246	45	)	)	PUNCT
ejpam-3069	246	46	,	,	PUNCT
ejpam-3069	246	47	of	of	ADP
ejpam-3069	246	48	operator	operator	NOUN
ejpam-3069	246	49	φ(u	φ(u	NOUN
ejpam-3069	246	50	,	,	PUNCT
ejpam-3069	246	51	a	a	DET
ejpam-3069	246	52	,	,	PUNCT
ejpam-3069	246	53	b	b	NOUN
ejpam-3069	246	54	)	)	PUNCT
ejpam-3069	246	55	,	,	PUNCT
ejpam-3069	246	56	defined	define	VERB
ejpam-3069	246	57	by	by	ADP
ejpam-3069	246	58	the	the	DET
ejpam-3069	246	59	right	right	ADJ
ejpam-3069	246	60	side	side	NOUN
ejpam-3069	246	61	of	of	ADP
ejpam-3069	246	62	equations	equation	NOUN
ejpam-3069	246	63	(	(	PUNCT
ejpam-3069	246	64	32	32	NUM
ejpam-3069	246	65	)	)	PUNCT
ejpam-3069	246	66	,	,	PUNCT
ejpam-3069	246	67	(	(	PUNCT
ejpam-3069	246	68	36	36	NUM
ejpam-3069	246	69	)	)	PUNCT
ejpam-3069	246	70	and	and	CCONJ
ejpam-3069	246	71	(	(	PUNCT
ejpam-3069	246	72	37	37	NUM
ejpam-3069	246	73	)	)	PUNCT
ejpam-3069	246	74	respectively	respectively	ADV
ejpam-3069	246	75	.	.	PUNCT
ejpam-3069	247	1	consider	consider	VERB
ejpam-3069	247	2	the	the	DET
ejpam-3069	247	3	operator	operator	NOUN
ejpam-3069	247	4	φ(u	φ(u	NOUN
ejpam-3069	247	5	,	,	PUNCT
ejpam-3069	247	6	a	a	DET
ejpam-3069	247	7	,	,	PUNCT
ejpam-3069	247	8	b	b	NOUN
ejpam-3069	247	9	)	)	PUNCT
ejpam-3069	247	10	,	,	PUNCT
ejpam-3069	247	11	in	in	ADP
ejpam-3069	247	12	the	the	DET
ejpam-3069	247	13	ball	ball	NOUN
ejpam-3069	247	14	k	k	PROPN
ejpam-3069	247	15	=	=	PUNCT
ejpam-3069	247	16	kr	kr	PROPN
ejpam-3069	247	17	of	of	ADP
ejpam-3069	247	18	the	the	DET
ejpam-3069	247	19	space	space	NOUN
ejpam-3069	247	20	e3	e3	NOUN
ejpam-3069	247	21	t	t	NOUN
ejpam-3069	247	22	.	.	PUNCT
ejpam-3069	248	1	similarly	similarly	ADV
ejpam-3069	248	2	,	,	PUNCT
ejpam-3069	248	3	with	with	ADP
ejpam-3069	248	4	the	the	DET
ejpam-3069	248	5	aid	aid	NOUN
ejpam-3069	248	6	of	of	ADP
ejpam-3069	248	7	(	(	PUNCT
ejpam-3069	248	8	45	45	NUM
ejpam-3069	248	9	)	)	PUNCT
ejpam-3069	248	10	we	we	PRON
ejpam-3069	248	11	get	get	VERB
ejpam-3069	248	12	that	that	PRON
ejpam-3069	248	13	for	for	ADP
ejpam-3069	248	14	any	any	DET
ejpam-3069	248	15	z1	z1	PROPN
ejpam-3069	248	16	,	,	PUNCT
ejpam-3069	248	17	z2	z2	PROPN
ejpam-3069	248	18	,	,	PUNCT
ejpam-3069	248	19	z3	z3	PROPN
ejpam-3069	248	20	∈	∈	PROPN
ejpam-3069	248	21	kr	kr	PROPN
ejpam-3069	248	22	the	the	DET
ejpam-3069	248	23	following	follow	VERB
ejpam-3069	248	24	inequalities	inequality	NOUN
ejpam-3069	248	25	hold	hold	VERB
ejpam-3069	248	26	‖φz‖e3	‖φz‖e3	PROPN
ejpam-3069	248	27	t	t	NOUN
ejpam-3069	248	28	≤	≤	NOUN
ejpam-3069	248	29	a(t	a(t	NOUN
ejpam-3069	248	30	)	)	PUNCT
ejpam-3069	249	1	+	+	NOUN
ejpam-3069	249	2	b(t	b(t	NOUN
ejpam-3069	249	3	)	)	PUNCT
ejpam-3069	250	1	‖a(t)‖c[0,t	‖a(t)‖c[0,t	NOUN
ejpam-3069	250	2	]	]	PUNCT
ejpam-3069	250	3	‖u(x	‖u(x	NOUN
ejpam-3069	250	4	,	,	PUNCT
ejpam-3069	250	5	t)‖b3	t)‖b3	NOUN
ejpam-3069	250	6	2,t	2,t	NOUN
ejpam-3069	250	7	+	+	CCONJ
ejpam-3069	250	8	d(t	d(t	PROPN
ejpam-3069	250	9	)	)	PUNCT
ejpam-3069	250	10	‖b(t)‖c[0,t	‖b(t)‖c[0,t	PROPN
ejpam-3069	250	11	]	]	PUNCT
ejpam-3069	250	12	≤	≤	NUM
ejpam-3069	250	13	a(t	a(t	NOUN
ejpam-3069	250	14	)	)	PUNCT
ejpam-3069	251	1	+	+	NOUN
ejpam-3069	251	2	b(t	b(t	NOUN
ejpam-3069	251	3	)	)	PUNCT
ejpam-3069	251	4	(	(	PUNCT
ejpam-3069	251	5	a(t	a(t	NOUN
ejpam-3069	251	6	)	)	PUNCT
ejpam-3069	252	1	+	+	CCONJ
ejpam-3069	252	2	2)2	2)2	NUM
ejpam-3069	252	3	+	+	ADJ
ejpam-3069	252	4	d(t	d(t	PROPN
ejpam-3069	252	5	)	)	PUNCT
ejpam-3069	252	6	(	(	PUNCT
ejpam-3069	252	7	a(t	a(t	NOUN
ejpam-3069	252	8	)	)	PUNCT
ejpam-3069	253	1	+	+	CCONJ
ejpam-3069	253	2	2	2	X
ejpam-3069	253	3	)	)	PUNCT
ejpam-3069	253	4	<	<	X
ejpam-3069	253	5	a(t	a(t	NOUN
ejpam-3069	253	6	)	)	PUNCT
ejpam-3069	254	1	+	+	CCONJ
ejpam-3069	254	2	2	2	NUM
ejpam-3069	254	3	,	,	PUNCT
ejpam-3069	254	4	(	(	PUNCT
ejpam-3069	254	5	48	48	NUM
ejpam-3069	254	6	)	)	PUNCT
ejpam-3069	254	7	‖φz1	‖φz1	ADJ
ejpam-3069	254	8	−	−	PROPN
ejpam-3069	254	9	φz2‖e3	φz2‖e3	PROPN
ejpam-3069	254	10	t	t	PROPN
ejpam-3069	254	11	≤	≤	NUM
ejpam-3069	254	12	b(t	b(t	PROPN
ejpam-3069	254	13	)	)	PUNCT
ejpam-3069	255	1	r	r	NOUN
ejpam-3069	255	2	(	(	PUNCT
ejpam-3069	255	3	‖a1(t)−	‖a1(t)−	PROPN
ejpam-3069	255	4	a2(t)‖c[0,t	a2(t)‖c[0,t	NOUN
ejpam-3069	255	5	]	]	PUNCT
ejpam-3069	256	1	+	+	CCONJ
ejpam-3069	256	2	‖u1(x	‖u1(x	PROPN
ejpam-3069	256	3	,	,	PUNCT
ejpam-3069	256	4	t)−	t)−	PROPN
ejpam-3069	256	5	u2(x	u2(x	PROPN
ejpam-3069	256	6	,	,	PUNCT
ejpam-3069	256	7	t)‖b3	t)‖b3	NOUN
ejpam-3069	256	8	2,t	2,t	NOUN
ejpam-3069	256	9	)	)	PUNCT
ejpam-3069	257	1	+	+	VERB
ejpam-3069	257	2	d(t	d(t	PROPN
ejpam-3069	257	3	)	)	PUNCT
ejpam-3069	257	4	‖b1(t)−	‖b1(t)−	PROPN
ejpam-3069	257	5	b2(t)‖c[0,t	b2(t)‖c[0,t	NOUN
ejpam-3069	257	6	]	]	PUNCT
ejpam-3069	257	7	.	.	PUNCT
ejpam-3069	258	1	(	(	PUNCT
ejpam-3069	258	2	49	49	NUM
ejpam-3069	258	3	)	)	PUNCT
ejpam-3069	258	4	then	then	ADV
ejpam-3069	258	5	by	by	ADP
ejpam-3069	258	6	(	(	PUNCT
ejpam-3069	258	7	46	46	NUM
ejpam-3069	258	8	)	)	PUNCT
ejpam-3069	258	9	,	,	PUNCT
ejpam-3069	258	10	from	from	ADP
ejpam-3069	258	11	(	(	PUNCT
ejpam-3069	258	12	48	48	NUM
ejpam-3069	258	13	)	)	PUNCT
ejpam-3069	258	14	and	and	CCONJ
ejpam-3069	258	15	(	(	PUNCT
ejpam-3069	258	16	49	49	NUM
ejpam-3069	258	17	)	)	PUNCT
ejpam-3069	258	18	it	it	PRON
ejpam-3069	258	19	is	be	AUX
ejpam-3069	258	20	clear	clear	ADJ
ejpam-3069	258	21	that	that	SCONJ
ejpam-3069	258	22	the	the	DET
ejpam-3069	258	23	operator	operator	NOUN
ejpam-3069	258	24	φ	φ	VERB
ejpam-3069	258	25	on	on	ADP
ejpam-3069	258	26	the	the	DET
ejpam-3069	258	27	set	set	NOUN
ejpam-3069	258	28	k	k	PROPN
ejpam-3069	258	29	=	=	PUNCT
ejpam-3069	258	30	kr	kr	PROPN
ejpam-3069	258	31	satisfy	satisfy	VERB
ejpam-3069	258	32	the	the	DET
ejpam-3069	258	33	conditions	condition	NOUN
ejpam-3069	258	34	of	of	ADP
ejpam-3069	258	35	the	the	DET
ejpam-3069	258	36	contraction	contraction	NOUN
ejpam-3069	258	37	mapping	mapping	NOUN
ejpam-3069	258	38	principle	principle	NOUN
ejpam-3069	258	39	.	.	PUNCT
ejpam-3069	259	1	therefore	therefore	ADV
ejpam-3069	259	2	the	the	DET
ejpam-3069	259	3	operator	operator	NOUN
ejpam-3069	259	4	φ	φ	PROPN
ejpam-3069	259	5	has	have	VERB
ejpam-3069	259	6	a	a	DET
ejpam-3069	259	7	unique	unique	ADJ
ejpam-3069	259	8	fixed	fix	VERB
ejpam-3069	259	9	point	point	NOUN
ejpam-3069	259	10	{	{	PUNCT
ejpam-3069	259	11	z	z	NOUN
ejpam-3069	259	12	}	}	PUNCT
ejpam-3069	259	13	=	=	SYM
ejpam-3069	259	14	{	{	PUNCT
ejpam-3069	259	15	u	u	NOUN
ejpam-3069	259	16	,	,	PUNCT
ejpam-3069	259	17	a	a	PRON
ejpam-3069	259	18	,	,	PUNCT
ejpam-3069	259	19	b	b	NOUN
ejpam-3069	259	20	}	}	PUNCT
ejpam-3069	259	21	,	,	PUNCT
ejpam-3069	259	22	in	in	ADP
ejpam-3069	259	23	the	the	DET
ejpam-3069	259	24	ball	ball	NOUN
ejpam-3069	259	25	k	k	PROPN
ejpam-3069	259	26	=	=	SYM
ejpam-3069	259	27	kr	kr	PROPN
ejpam-3069	259	28	,	,	PUNCT
ejpam-3069	259	29	which	which	PRON
ejpam-3069	259	30	is	be	AUX
ejpam-3069	259	31	a	a	DET
ejpam-3069	259	32	solution	solution	NOUN
ejpam-3069	259	33	of	of	ADP
ejpam-3069	259	34	equation	equation	NOUN
ejpam-3069	259	35	(	(	PUNCT
ejpam-3069	259	36	47	47	NUM
ejpam-3069	259	37	)	)	PUNCT
ejpam-3069	259	38	;	;	PUNCT
ejpam-3069	259	39	i.e.	i.e.	X
ejpam-3069	259	40	in	in	ADP
ejpam-3069	259	41	the	the	DET
ejpam-3069	259	42	ball	ball	NOUN
ejpam-3069	259	43	k	k	PROPN
ejpam-3069	259	44	=	=	PUNCT
ejpam-3069	259	45	kr	kr	PROPN
ejpam-3069	259	46	is	be	AUX
ejpam-3069	259	47	the	the	DET
ejpam-3069	259	48	unique	unique	ADJ
ejpam-3069	259	49	solution	solution	NOUN
ejpam-3069	259	50	of	of	ADP
ejpam-3069	259	51	the	the	DET
ejpam-3069	259	52	systems	system	NOUN
ejpam-3069	259	53	(	(	PUNCT
ejpam-3069	259	54	32	32	NUM
ejpam-3069	259	55	)	)	PUNCT
ejpam-3069	259	56	,	,	PUNCT
ejpam-3069	259	57	(	(	PUNCT
ejpam-3069	259	58	36	36	NUM
ejpam-3069	259	59	)	)	PUNCT
ejpam-3069	259	60	and	and	CCONJ
ejpam-3069	259	61	(	(	PUNCT
ejpam-3069	259	62	37	37	NUM
ejpam-3069	259	63	)	)	PUNCT
ejpam-3069	259	64	.	.	PUNCT
ejpam-3069	260	1	then	then	ADV
ejpam-3069	260	2	the	the	DET
ejpam-3069	260	3	function	function	NOUN
ejpam-3069	260	4	u(x	u(x	NOUN
ejpam-3069	260	5	,	,	PUNCT
ejpam-3069	260	6	t	t	PROPN
ejpam-3069	260	7	)	)	PUNCT
ejpam-3069	260	8	,	,	PUNCT
ejpam-3069	260	9	as	as	ADP
ejpam-3069	260	10	an	an	DET
ejpam-3069	260	11	element	element	NOUN
ejpam-3069	260	12	of	of	ADP
ejpam-3069	260	13	space	space	NOUN
ejpam-3069	260	14	b3	b3	PROPN
ejpam-3069	260	15	2,t	2,t	NOUN
ejpam-3069	260	16	,	,	PUNCT
ejpam-3069	260	17	is	be	AUX
ejpam-3069	260	18	continuous	continuous	ADJ
ejpam-3069	260	19	and	and	CCONJ
ejpam-3069	260	20	has	have	VERB
ejpam-3069	260	21	continuous	continuous	ADJ
ejpam-3069	260	22	derivatives	derivative	NOUN
ejpam-3069	260	23	ux(x	ux(x	ADV
ejpam-3069	260	24	,	,	PUNCT
ejpam-3069	260	25	t	t	PROPN
ejpam-3069	260	26	)	)	PUNCT
ejpam-3069	260	27	and	and	CCONJ
ejpam-3069	260	28	uxx(x	uxx(x	PROPN
ejpam-3069	260	29	,	,	PUNCT
ejpam-3069	260	30	t	t	PROPN
ejpam-3069	260	31	)	)	PUNCT
ejpam-3069	260	32	in	in	ADP
ejpam-3069	260	33	qt	qt	NOUN
ejpam-3069	260	34	.	.	PUNCT
ejpam-3069	261	1	from	from	ADP
ejpam-3069	261	2	the	the	DET
ejpam-3069	261	3	equation	equation	NOUN
ejpam-3069	261	4	(	(	PUNCT
ejpam-3069	261	5	28	28	NUM
ejpam-3069	261	6	)	)	PUNCT
ejpam-3069	261	7	we	we	PRON
ejpam-3069	261	8	obtain	obtain	VERB
ejpam-3069	261	9	(	(	PUNCT
ejpam-3069	261	10	∞∑	∞∑	NOUN
ejpam-3069	261	11	k=1	k=1	X
ejpam-3069	262	1	(	(	PUNCT
ejpam-3069	262	2	λk	λk	ADP
ejpam-3069	262	3	∥∥u′k(t)∥∥c[0,t	∥∥u′k(t)∥∥c[0,t	NOUN
ejpam-3069	262	4	]	]	PUNCT
ejpam-3069	262	5	)	)	PUNCT
ejpam-3069	262	6	2	2	X
ejpam-3069	262	7	)	)	PUNCT
ejpam-3069	262	8	1	1	NUM
ejpam-3069	262	9	2	2	NUM
ejpam-3069	262	10	<	<	X
ejpam-3069	262	11	+	+	NOUN
ejpam-3069	262	12	∞.	∞.	PROPN
ejpam-3069	262	13	references	reference	NOUN
ejpam-3069	262	14	993	993	NUM
ejpam-3069	262	15	hence	hence	ADV
ejpam-3069	262	16	it	it	PRON
ejpam-3069	262	17	follows	follow	VERB
ejpam-3069	262	18	that	that	SCONJ
ejpam-3069	262	19	the	the	DET
ejpam-3069	262	20	function	function	NOUN
ejpam-3069	262	21	u(x	u(x	VERB
ejpam-3069	262	22	,	,	PUNCT
ejpam-3069	262	23	t	t	PROPN
ejpam-3069	262	24	)	)	PUNCT
ejpam-3069	262	25	is	be	AUX
ejpam-3069	262	26	continuous	continuous	ADJ
ejpam-3069	262	27	in	in	ADP
ejpam-3069	262	28	qt	qt	NOUN
ejpam-3069	262	29	.	.	PUNCT
ejpam-3069	263	1	further	far	ADV
ejpam-3069	263	2	,	,	PUNCT
ejpam-3069	263	3	it	it	PRON
ejpam-3069	263	4	is	be	AUX
ejpam-3069	263	5	possible	possible	ADJ
ejpam-3069	263	6	to	to	PART
ejpam-3069	263	7	verify	verify	VERB
ejpam-3069	263	8	that	that	DET
ejpam-3069	263	9	equation	equation	NOUN
ejpam-3069	263	10	(	(	PUNCT
ejpam-3069	263	11	1	1	NUM
ejpam-3069	263	12	)	)	PUNCT
ejpam-3069	263	13	,	,	PUNCT
ejpam-3069	263	14	and	and	CCONJ
ejpam-3069	263	15	conditions	condition	NOUN
ejpam-3069	263	16	(	(	PUNCT
ejpam-3069	263	17	2	2	NUM
ejpam-3069	263	18	)	)	PUNCT
ejpam-3069	263	19	,	,	PUNCT
ejpam-3069	263	20	(	(	PUNCT
ejpam-3069	263	21	3	3	NUM
ejpam-3069	263	22	)	)	PUNCT
ejpam-3069	263	23	,	,	PUNCT
ejpam-3069	263	24	(	(	PUNCT
ejpam-3069	263	25	12	12	NUM
ejpam-3069	263	26	)	)	PUNCT
ejpam-3069	263	27	,	,	PUNCT
ejpam-3069	263	28	(	(	PUNCT
ejpam-3069	263	29	13	13	NUM
ejpam-3069	263	30	)	)	PUNCT
ejpam-3069	263	31	,	,	PUNCT
ejpam-3069	263	32	(	(	PUNCT
ejpam-3069	263	33	14	14	NUM
ejpam-3069	263	34	)	)	PUNCT
ejpam-3069	263	35	,	,	PUNCT
ejpam-3069	263	36	are	be	AUX
ejpam-3069	263	37	satisfied	satisfied	ADJ
ejpam-3069	263	38	in	in	ADP
ejpam-3069	263	39	the	the	DET
ejpam-3069	263	40	usual	usual	ADJ
ejpam-3069	263	41	sense	sense	NOUN
ejpam-3069	263	42	.	.	PUNCT
ejpam-3069	264	1	consequently	consequently	ADV
ejpam-3069	264	2	,	,	PUNCT
ejpam-3069	264	3	{	{	PUNCT
ejpam-3069	264	4	u(x	u(x	PROPN
ejpam-3069	264	5	,	,	PUNCT
ejpam-3069	264	6	t	t	PROPN
ejpam-3069	264	7	)	)	PUNCT
ejpam-3069	264	8	,	,	PUNCT
ejpam-3069	264	9	a(t	a(t	NOUN
ejpam-3069	264	10	)	)	PUNCT
ejpam-3069	264	11	,	,	PUNCT
ejpam-3069	264	12	b(t	b(t	PROPN
ejpam-3069	264	13	)	)	PUNCT
ejpam-3069	264	14	}	}	PUNCT
ejpam-3069	264	15	is	be	AUX
ejpam-3069	264	16	a	a	DET
ejpam-3069	264	17	solution	solution	NOUN
ejpam-3069	264	18	of	of	ADP
ejpam-3069	264	19	(	(	PUNCT
ejpam-3069	264	20	1)-(3	1)-(3	NUM
ejpam-3069	264	21	)	)	PUNCT
ejpam-3069	264	22	,	,	PUNCT
ejpam-3069	264	23	(	(	PUNCT
ejpam-3069	264	24	11)-(12	11)-(12	NOUN
ejpam-3069	264	25	)	)	PUNCT
ejpam-3069	264	26	,	,	PUNCT
ejpam-3069	264	27	and	and	CCONJ
ejpam-3069	264	28	due	due	ADP
ejpam-3069	264	29	to	to	ADP
ejpam-3069	264	30	the	the	DET
ejpam-3069	264	31	lemma	lemma	PROPN
ejpam-3069	264	32	2	2	NUM
ejpam-3069	264	33	,	,	PUNCT
ejpam-3069	264	34	it	it	PRON
ejpam-3069	264	35	is	be	AUX
ejpam-3069	264	36	unique	unique	ADJ
ejpam-3069	264	37	in	in	ADP
ejpam-3069	264	38	the	the	DET
ejpam-3069	264	39	ball	ball	NOUN
ejpam-3069	264	40	k	k	PROPN
ejpam-3069	264	41	=	=	SYM
ejpam-3069	264	42	kr	kr	PROPN
ejpam-3069	264	43	.	.	PUNCT
ejpam-3069	265	1	the	the	DET
ejpam-3069	265	2	theorem	theorem	NOUN
ejpam-3069	265	3	is	be	AUX
ejpam-3069	265	4	thus	thus	ADV
ejpam-3069	265	5	proved	prove	VERB
ejpam-3069	265	6	.	.	PUNCT
ejpam-3069	266	1	from	from	ADP
ejpam-3069	266	2	theorem	theorem	ADJ
ejpam-3069	266	3	2	2	NUM
ejpam-3069	266	4	and	and	CCONJ
ejpam-3069	266	5	theorem	theorem	VERB
ejpam-3069	266	6	1	1	NUM
ejpam-3069	266	7	,	,	PUNCT
ejpam-3069	266	8	it	it	PRON
ejpam-3069	266	9	follows	follow	VERB
ejpam-3069	266	10	directly	directly	ADV
ejpam-3069	266	11	that	that	SCONJ
ejpam-3069	266	12	the	the	DET
ejpam-3069	266	13	following	follow	VERB
ejpam-3069	266	14	assertion	assertion	NOUN
ejpam-3069	266	15	is	be	AUX
ejpam-3069	266	16	valid	valid	ADJ
ejpam-3069	266	17	.	.	PUNCT
ejpam-3069	267	1	theorem	theorem	NOUN
ejpam-3069	267	2	3	3	X
ejpam-3069	267	3	.	.	PUNCT
ejpam-3069	267	4	suppose	suppose	VERB
ejpam-3069	267	5	that	that	SCONJ
ejpam-3069	267	6	all	all	DET
ejpam-3069	267	7	assumptions	assumption	NOUN
ejpam-3069	267	8	of	of	ADP
ejpam-3069	267	9	theorem	theorem	NOUN
ejpam-3069	267	10	2	2	NUM
ejpam-3069	267	11	,	,	PUNCT
ejpam-3069	267	12	and	and	CCONJ
ejpam-3069	267	13	the	the	DET
ejpam-3069	267	14	compatibility	compatibility	NOUN
ejpam-3069	267	15	conditions	condition	NOUN
ejpam-3069	267	16	(	(	PUNCT
ejpam-3069	267	17	10	10	NUM
ejpam-3069	267	18	)	)	PUNCT
ejpam-3069	267	19	and	and	CCONJ
ejpam-3069	267	20	(	(	PUNCT
ejpam-3069	267	21	11	11	X
ejpam-3069	267	22	)	)	PUNCT
ejpam-3069	267	23	hold	hold	VERB
ejpam-3069	267	24	.	.	PUNCT
ejpam-3069	268	1	if	if	SCONJ
ejpam-3069	268	2	1∫	1∫	NUM
ejpam-3069	268	3	0	0	NUM
ejpam-3069	268	4	f(x	f(x	PROPN
ejpam-3069	268	5	,	,	PUNCT
ejpam-3069	268	6	t)dx	t)dx	PROPN
ejpam-3069	268	7	=	=	SYM
ejpam-3069	268	8	0	0	NUM
ejpam-3069	268	9	,	,	PUNCT
ejpam-3069	268	10	1∫	1∫	NUM
ejpam-3069	268	11	0	0	NUM
ejpam-3069	268	12	g(x	g(x	NOUN
ejpam-3069	268	13	,	,	PUNCT
ejpam-3069	268	14	t)dx	t)dx	PROPN
ejpam-3069	268	15	=	=	SYM
ejpam-3069	268	16	0	0	NUM
ejpam-3069	268	17	(	(	PUNCT
ejpam-3069	268	18	0	0	NUM
ejpam-3069	268	19	≤	≤	PROPN
ejpam-3069	268	20	t	t	PROPN
ejpam-3069	268	21	≤	≤	PROPN
ejpam-3069	268	22	t	t	PROPN
ejpam-3069	268	23	)	)	PUNCT
ejpam-3069	268	24	,	,	PUNCT
ejpam-3069	268	25	then	then	ADV
ejpam-3069	268	26	problem	problem	NOUN
ejpam-3069	268	27	(	(	PUNCT
ejpam-3069	268	28	1)-(6	1)-(6	NUM
ejpam-3069	268	29	)	)	PUNCT
ejpam-3069	268	30	has	have	VERB
ejpam-3069	268	31	a	a	DET
ejpam-3069	268	32	unique	unique	ADJ
ejpam-3069	268	33	classical	classical	ADJ
ejpam-3069	268	34	solution	solution	NOUN
ejpam-3069	268	35	in	in	ADP
ejpam-3069	268	36	the	the	DET
ejpam-3069	268	37	ball	ball	NOUN
ejpam-3069	268	38	k	k	PROPN
ejpam-3069	268	39	=	=	PUNCT
ejpam-3069	268	40	kr	kr	PROPN
ejpam-3069	268	41	.	.	PUNCT
ejpam-3069	269	1	acknowledgements	acknowledgement	VERB
ejpam-3069	269	2	the	the	DET
ejpam-3069	269	3	authors	author	NOUN
ejpam-3069	269	4	would	would	AUX
ejpam-3069	269	5	like	like	VERB
ejpam-3069	269	6	to	to	PART
ejpam-3069	269	7	express	express	VERB
ejpam-3069	269	8	their	their	PRON
ejpam-3069	269	9	deep	deep	ADJ
ejpam-3069	269	10	gratitude	gratitude	NOUN
ejpam-3069	269	11	to	to	ADP
ejpam-3069	269	12	the	the	DET
ejpam-3069	269	13	editorial	editorial	ADJ
ejpam-3069	269	14	team	team	NOUN
ejpam-3069	269	15	and	and	CCONJ
ejpam-3069	269	16	the	the	DET
ejpam-3069	269	17	anonymous	anonymous	ADJ
ejpam-3069	269	18	referees	referee	NOUN
ejpam-3069	269	19	of	of	ADP
ejpam-3069	269	20	european	european	PROPN
ejpam-3069	269	21	journal	journal	PROPN
ejpam-3069	269	22	of	of	ADP
ejpam-3069	269	23	pure	pure	ADJ
ejpam-3069	269	24	and	and	CCONJ
ejpam-3069	269	25	applied	applied	ADJ
ejpam-3069	269	26	mathematics	mathematic	NOUN
ejpam-3069	269	27	,	,	PUNCT
ejpam-3069	269	28	for	for	ADP
ejpam-3069	269	29	the	the	DET
ejpam-3069	269	30	careful	careful	ADJ
ejpam-3069	269	31	reading	reading	NOUN
ejpam-3069	269	32	of	of	ADP
ejpam-3069	269	33	the	the	DET
ejpam-3069	269	34	manuscript	manuscript	NOUN
ejpam-3069	269	35	as	as	ADV
ejpam-3069	269	36	well	well	ADV
ejpam-3069	269	37	as	as	ADP
ejpam-3069	269	38	their	their	PRON
ejpam-3069	269	39	valuable	valuable	ADJ
ejpam-3069	269	40	comments	comment	NOUN
ejpam-3069	269	41	and	and	CCONJ
ejpam-3069	269	42	suggestions	suggestion	NOUN
ejpam-3069	269	43	which	which	PRON
ejpam-3069	269	44	helped	help	VERB
ejpam-3069	269	45	to	to	PART
ejpam-3069	269	46	improve	improve	VERB
ejpam-3069	269	47	the	the	DET
ejpam-3069	269	48	present	present	ADJ
ejpam-3069	269	49	paper	paper	NOUN
ejpam-3069	269	50	.	.	PUNCT
ejpam-3069	270	1	references	reference	NOUN
ejpam-3069	270	2	[	[	X
ejpam-3069	270	3	1	1	NUM
ejpam-3069	270	4	]	]	X
ejpam-3069	270	5	yu.ya	yu.ya	NOUN
ejpam-3069	270	6	.	.	PUNCT
ejpam-3069	271	1	belov	belov	PROPN
ejpam-3069	271	2	,	,	PUNCT
ejpam-3069	271	3	a.sh	a.sh	PROPN
ejpam-3069	271	4	.	.	PROPN
ejpam-3069	271	5	lyubanova	lyubanova	PROPN
ejpam-3069	271	6	,	,	PUNCT
ejpam-3069	271	7	s.v	s.v	PROPN
ejpam-3069	271	8	.	.	PROPN
ejpam-3069	271	9	polyntseva	polyntseva	PROPN
ejpam-3069	271	10	,	,	PUNCT
ejpam-3069	271	11	r.v	r.v	PROPN
ejpam-3069	271	12	.	.	PROPN
ejpam-3069	271	13	sorokin	sorokin	PROPN
ejpam-3069	271	14	and	and	CCONJ
ejpam-3069	271	15	i.v	i.v	PROPN
ejpam-3069	271	16	.	.	PROPN
ejpam-3069	271	17	frolenkov	frolenkov	PROPN
ejpam-3069	271	18	,	,	PUNCT
ejpam-3069	271	19	inverse	inverse	NOUN
ejpam-3069	271	20	problems	problem	NOUN
ejpam-3069	271	21	of	of	ADP
ejpam-3069	271	22	mathematical	mathematical	ADJ
ejpam-3069	271	23	physics	physics	NOUN
ejpam-3069	271	24	(	(	PUNCT
ejpam-3069	271	25	in	in	ADP
ejpam-3069	271	26	russian	russian	PROPN
ejpam-3069	271	27	)	)	PUNCT
ejpam-3069	271	28	,	,	PUNCT
ejpam-3069	271	29	siberian	siberian	PROPN
ejpam-3069	271	30	federal	federal	PROPN
ejpam-3069	271	31	university	university	PROPN
ejpam-3069	271	32	,	,	PUNCT
ejpam-3069	271	33	krasnoyarsk	krasnoyarsk	PROPN
ejpam-3069	271	34	,	,	PUNCT
ejpam-3069	271	35	2008	2008	NUM
ejpam-3069	271	36	.	.	PUNCT
ejpam-3069	272	1	[	[	X
ejpam-3069	272	2	2	2	NUM
ejpam-3069	272	3	]	]	X
ejpam-3069	272	4	j.r	j.r	PROPN
ejpam-3069	272	5	.	.	PROPN
ejpam-3069	272	6	cannon	cannon	NOUN
ejpam-3069	272	7	,	,	PUNCT
ejpam-3069	272	8	y.	y.	PROPN
ejpam-3069	272	9	lin	lin	PROPN
ejpam-3069	272	10	and	and	CCONJ
ejpam-3069	272	11	s.	s.	PROPN
ejpam-3069	272	12	wang	wang	PROPN
ejpam-3069	272	13	,	,	PUNCT
ejpam-3069	272	14	determination	determination	NOUN
ejpam-3069	272	15	of	of	ADP
ejpam-3069	272	16	a	a	DET
ejpam-3069	272	17	control	control	NOUN
ejpam-3069	272	18	parameter	parameter	NOUN
ejpam-3069	272	19	in	in	ADP
ejpam-3069	272	20	a	a	DET
ejpam-3069	272	21	parabolic	parabolic	ADJ
ejpam-3069	272	22	partial	partial	ADJ
ejpam-3069	272	23	differential	differential	NOUN
ejpam-3069	272	24	equation	equation	NOUN
ejpam-3069	272	25	,	,	PUNCT
ejpam-3069	272	26	j.	j.	PROPN
ejpam-3069	272	27	aust	aust	PROPN
ejpam-3069	272	28	.	.	PUNCT
ejpam-3069	273	1	math	math	PROPN
ejpam-3069	273	2	.	.	PUNCT
ejpam-3069	274	1	soc	soc	PROPN
ejpam-3069	274	2	.	.	PUNCT
ejpam-3069	275	1	ser	ser	PROPN
ejpam-3069	275	2	.	.	PUNCT
ejpam-3069	276	1	b	b	NUM
ejpam-3069	276	2	,	,	PUNCT
ejpam-3069	276	3	33:149	33:149	NUM
ejpam-3069	276	4	-	-	SYM
ejpam-3069	276	5	163	163	NUM
ejpam-3069	276	6	,	,	PUNCT
ejpam-3069	276	7	1991	1991	NUM
ejpam-3069	276	8	.	.	PUNCT
ejpam-3069	277	1	[	[	X
ejpam-3069	277	2	3	3	NUM
ejpam-3069	277	3	]	]	PUNCT
ejpam-3069	277	4	a.	a.	NOUN
ejpam-3069	277	5	hazanee	hazanee	PROPN
ejpam-3069	277	6	,	,	PUNCT
ejpam-3069	277	7	d.	d.	PROPN
ejpam-3069	277	8	lesnic	lesnic	PROPN
ejpam-3069	277	9	,	,	PUNCT
ejpam-3069	277	10	m.i	m.i	PROPN
ejpam-3069	277	11	.	.	PROPN
ejpam-3069	277	12	ismailov	ismailov	PROPN
ejpam-3069	277	13	and	and	CCONJ
ejpam-3069	277	14	n.b	n.b	PROPN
ejpam-3069	277	15	.	.	PROPN
ejpam-3069	277	16	kerimov	kerimov	PROPN
ejpam-3069	277	17	,	,	PUNCT
ejpam-3069	277	18	an	an	DET
ejpam-3069	277	19	inverse	inverse	ADJ
ejpam-3069	277	20	time	time	NOUN
ejpam-3069	277	21	-	-	PUNCT
ejpam-3069	277	22	dependent	dependent	ADJ
ejpam-3069	277	23	source	source	NOUN
ejpam-3069	277	24	problem	problem	NOUN
ejpam-3069	277	25	for	for	ADP
ejpam-3069	277	26	the	the	DET
ejpam-3069	277	27	heat	heat	NOUN
ejpam-3069	277	28	equation	equation	NOUN
ejpam-3069	277	29	with	with	ADP
ejpam-3069	277	30	a	a	DET
ejpam-3069	277	31	non	non	ADJ
ejpam-3069	277	32	-	-	ADJ
ejpam-3069	277	33	classical	classical	ADJ
ejpam-3069	277	34	boundary	boundary	ADJ
ejpam-3069	277	35	condition	condition	NOUN
ejpam-3069	277	36	,	,	PUNCT
ejpam-3069	277	37	applied	apply	VERB
ejpam-3069	277	38	mathematical	mathematical	ADJ
ejpam-3069	277	39	modelling	modelling	NOUN
ejpam-3069	277	40	,	,	PUNCT
ejpam-3069	277	41	39(20):6258	39(20):6258	NUM
ejpam-3069	277	42	-	-	SYM
ejpam-3069	277	43	6272	6272	NUM
ejpam-3069	277	44	,	,	PUNCT
ejpam-3069	277	45	2015	2015	NUM
ejpam-3069	277	46	.	.	PUNCT
ejpam-3069	278	1	[	[	X
ejpam-3069	278	2	4	4	NUM
ejpam-3069	278	3	]	]	X
ejpam-3069	278	4	m.s	m.s	PROPN
ejpam-3069	278	5	.	.	PROPN
ejpam-3069	278	6	hussein	hussein	PROPN
ejpam-3069	278	7	,	,	PUNCT
ejpam-3069	278	8	d.	d.	PROPN
ejpam-3069	278	9	lesnic	lesnic	PROPN
ejpam-3069	278	10	,	,	PUNCT
ejpam-3069	278	11	m.i	m.i	PROPN
ejpam-3069	278	12	.	.	PROPN
ejpam-3069	278	13	ivanchov	ivanchov	PROPN
ejpam-3069	278	14	,	,	PUNCT
ejpam-3069	278	15	h.a	h.a	PROPN
ejpam-3069	278	16	.	.	PROPN
ejpam-3069	278	17	snitko	snitko	PROPN
ejpam-3069	278	18	,	,	PUNCT
ejpam-3069	278	19	multiple	multiple	ADJ
ejpam-3069	278	20	time	time	NOUN
ejpam-3069	278	21	-	-	PUNCT
ejpam-3069	278	22	dependent	dependent	ADJ
ejpam-3069	278	23	coefficient	coefficient	NOUN
ejpam-3069	278	24	identification	identification	NOUN
ejpam-3069	278	25	thermal	thermal	ADJ
ejpam-3069	278	26	problems	problem	NOUN
ejpam-3069	278	27	with	with	ADP
ejpam-3069	278	28	a	a	DET
ejpam-3069	278	29	free	free	ADJ
ejpam-3069	278	30	boundary	boundary	NOUN
ejpam-3069	278	31	,	,	PUNCT
ejpam-3069	278	32	applied	apply	VERB
ejpam-3069	278	33	numerical	numerical	ADJ
ejpam-3069	278	34	mathematics	mathematic	NOUN
ejpam-3069	278	35	,	,	PUNCT
ejpam-3069	278	36	99:24	99:24	NUM
ejpam-3069	278	37	-	-	SYM
ejpam-3069	278	38	50	50	NUM
ejpam-3069	278	39	,	,	PUNCT
ejpam-3069	278	40	2016	2016	NUM
ejpam-3069	278	41	.	.	PUNCT
ejpam-3069	279	1	[	[	X
ejpam-3069	279	2	5	5	NUM
ejpam-3069	279	3	]	]	X
ejpam-3069	279	4	n.i	n.i	PROPN
ejpam-3069	279	5	.	.	PROPN
ejpam-3069	279	6	ionkin	ionkin	PROPN
ejpam-3069	279	7	,	,	PUNCT
ejpam-3069	279	8	solutions	solution	NOUN
ejpam-3069	279	9	of	of	ADP
ejpam-3069	279	10	boundary	boundary	ADJ
ejpam-3069	279	11	value	value	NOUN
ejpam-3069	279	12	problem	problem	NOUN
ejpam-3069	279	13	in	in	ADP
ejpam-3069	279	14	heat	heat	NOUN
ejpam-3069	279	15	conductions	conduction	NOUN
ejpam-3069	279	16	theory	theory	NOUN
ejpam-3069	279	17	with	with	ADP
ejpam-3069	279	18	nonlocal	nonlocal	ADJ
ejpam-3069	279	19	boundary	boundary	ADJ
ejpam-3069	279	20	conditions	condition	NOUN
ejpam-3069	279	21	,	,	PUNCT
ejpam-3069	279	22	differ	differ	VERB
ejpam-3069	279	23	.	.	PUNCT
ejpam-3069	280	1	uravn	uravn	ADJ
ejpam-3069	280	2	.	.	PUNCT
ejpam-3069	281	1	,	,	PUNCT
ejpam-3069	281	2	13:294	13:294	NUM
ejpam-3069	281	3	-	-	SYM
ejpam-3069	281	4	304	304	NUM
ejpam-3069	281	5	,	,	PUNCT
ejpam-3069	281	6	1977	1977	NUM
ejpam-3069	281	7	.	.	PUNCT
ejpam-3069	282	1	[	[	X
ejpam-3069	282	2	6	6	NUM
ejpam-3069	282	3	]	]	X
ejpam-3069	282	4	a.i	a.i	PROPN
ejpam-3069	282	5	.	.	PROPN
ejpam-3069	282	6	kozhanov	kozhanov	PROPN
ejpam-3069	282	7	,	,	PUNCT
ejpam-3069	282	8	nonlinear	nonlinear	ADJ
ejpam-3069	282	9	loaded	load	VERB
ejpam-3069	282	10	equations	equation	NOUN
ejpam-3069	282	11	and	and	CCONJ
ejpam-3069	282	12	inverse	inverse	NOUN
ejpam-3069	282	13	problems	problem	NOUN
ejpam-3069	282	14	,	,	PUNCT
ejpam-3069	282	15	computational	computational	ADJ
ejpam-3069	282	16	mathematics	mathematic	NOUN
ejpam-3069	282	17	and	and	CCONJ
ejpam-3069	282	18	mathematical	mathematical	ADJ
ejpam-3069	282	19	physics	physics	NOUN
ejpam-3069	282	20	,	,	PUNCT
ejpam-3069	282	21	44	44	NUM
ejpam-3069	282	22	(	(	PUNCT
ejpam-3069	282	23	4):657	4):657	NOUN
ejpam-3069	282	24	-	-	NOUN
ejpam-3069	282	25	675	675	NUM
ejpam-3069	282	26	,	,	PUNCT
ejpam-3069	282	27	2004	2004	NUM
ejpam-3069	282	28	.	.	PUNCT
ejpam-3069	283	1	references	reference	NOUN
ejpam-3069	283	2	994	994	NUM
ejpam-3069	284	1	[	[	X
ejpam-3069	284	2	7	7	NUM
ejpam-3069	284	3	]	]	X
ejpam-3069	284	4	a.i	a.i	PROPN
ejpam-3069	284	5	.	.	PROPN
ejpam-3069	284	6	kozhanov	kozhanov	PROPN
ejpam-3069	284	7	and	and	CCONJ
ejpam-3069	284	8	l.s	l.s	PROPN
ejpam-3069	284	9	.	.	PROPN
ejpam-3069	284	10	pulkina	pulkina	PROPN
ejpam-3069	284	11	,	,	PUNCT
ejpam-3069	284	12	on	on	ADP
ejpam-3069	284	13	the	the	DET
ejpam-3069	284	14	solvability	solvability	NOUN
ejpam-3069	284	15	of	of	ADP
ejpam-3069	284	16	boundary	boundary	ADJ
ejpam-3069	284	17	value	value	NOUN
ejpam-3069	284	18	problems	problem	NOUN
ejpam-3069	284	19	with	with	ADP
ejpam-3069	284	20	a	a	DET
ejpam-3069	284	21	nonlocal	nonlocal	ADJ
ejpam-3069	284	22	boundary	boundary	ADJ
ejpam-3069	284	23	condition	condition	NOUN
ejpam-3069	284	24	of	of	ADP
ejpam-3069	284	25	integral	integral	ADJ
ejpam-3069	284	26	form	form	NOUN
ejpam-3069	284	27	for	for	ADP
ejpam-3069	284	28	multidimensional	multidimensional	ADJ
ejpam-3069	284	29	hyperbolic	hyperbolic	ADJ
ejpam-3069	284	30	equations	equation	NOUN
ejpam-3069	284	31	,	,	PUNCT
ejpam-3069	284	32	differential	differential	ADJ
ejpam-3069	284	33	equations	equation	NOUN
ejpam-3069	284	34	,	,	PUNCT
ejpam-3069	284	35	42(9):1166	42(9):1166	NUM
ejpam-3069	284	36	-	-	SYM
ejpam-3069	284	37	1179	1179	NUM
ejpam-3069	284	38	,	,	PUNCT
ejpam-3069	284	39	2006	2006	NUM
ejpam-3069	284	40	.	.	PUNCT
ejpam-3069	285	1	[	[	X
ejpam-3069	285	2	8	8	NUM
ejpam-3069	285	3	]	]	X
ejpam-3069	285	4	m.m	m.m	PROPN
ejpam-3069	285	5	.	.	PROPN
ejpam-3069	285	6	lavrent’ev	lavrent’ev	PROPN
ejpam-3069	285	7	,	,	PUNCT
ejpam-3069	285	8	v.g	v.g	PROPN
ejpam-3069	285	9	.	.	PROPN
ejpam-3069	285	10	vasil’ev	vasil’ev	PROPN
ejpam-3069	285	11	and	and	CCONJ
ejpam-3069	285	12	v.g	v.g	PROPN
ejpam-3069	285	13	.	.	PROPN
ejpam-3069	285	14	romanov	romanov	PROPN
ejpam-3069	285	15	,	,	PUNCT
ejpam-3069	285	16	multidimensional	multidimensional	ADJ
ejpam-3069	285	17	inverse	inverse	NOUN
ejpam-3069	285	18	problems	problem	NOUN
ejpam-3069	285	19	for	for	ADP
ejpam-3069	285	20	differential	differential	ADJ
ejpam-3069	285	21	equations	equation	NOUN
ejpam-3069	285	22	(	(	PUNCT
ejpam-3069	285	23	in	in	ADP
ejpam-3069	285	24	russian	russian	PROPN
ejpam-3069	285	25	)	)	PUNCT
ejpam-3069	285	26	,	,	PUNCT
ejpam-3069	285	27	novosibirsk	novosibirsk	PROPN
ejpam-3069	285	28	,	,	PUNCT
ejpam-3069	285	29	1969	1969	NUM
ejpam-3069	285	30	.	.	PUNCT
ejpam-3069	286	1	[	[	X
ejpam-3069	286	2	9	9	NUM
ejpam-3069	286	3	]	]	X
ejpam-3069	286	4	d.	d.	PROPN
ejpam-3069	286	5	lesnic	lesnic	PROPN
ejpam-3069	286	6	,	,	PUNCT
ejpam-3069	286	7	s.a	s.a	PROPN
ejpam-3069	286	8	.	.	PROPN
ejpam-3069	286	9	yousefi	yousefi	PROPN
ejpam-3069	286	10	and	and	CCONJ
ejpam-3069	286	11	m.	m.	PROPN
ejpam-3069	286	12	ivanchov	ivanchov	PROPN
ejpam-3069	286	13	,	,	PUNCT
ejpam-3069	286	14	determination	determination	NOUN
ejpam-3069	286	15	of	of	ADP
ejpam-3069	286	16	a	a	DET
ejpam-3069	286	17	time	time	NOUN
ejpam-3069	286	18	-	-	PUNCT
ejpam-3069	286	19	dependent	dependent	ADJ
ejpam-3069	286	20	diffusivity	diffusivity	NOUN
ejpam-3069	286	21	from	from	ADP
ejpam-3069	286	22	nonlocal	nonlocal	ADJ
ejpam-3069	286	23	conditions	condition	NOUN
ejpam-3069	286	24	,	,	PUNCT
ejpam-3069	286	25	journal	journal	NOUN
ejpam-3069	286	26	of	of	ADP
ejpam-3069	286	27	applied	apply	VERB
ejpam-3069	286	28	mathematics	mathematic	NOUN
ejpam-3069	286	29	and	and	CCONJ
ejpam-3069	286	30	computing	computing	NOUN
ejpam-3069	286	31	,	,	PUNCT
ejpam-3069	286	32	41(1):301	41(1):301	PROPN
ejpam-3069	286	33	-	-	PUNCT
ejpam-3069	286	34	320	320	NUM
ejpam-3069	286	35	,	,	PUNCT
ejpam-3069	286	36	2013	2013	NUM
ejpam-3069	286	37	.	.	PUNCT
ejpam-3069	287	1	[	[	X
ejpam-3069	287	2	10	10	NUM
ejpam-3069	287	3	]	]	X
ejpam-3069	287	4	y.t	y.t	PROPN
ejpam-3069	287	5	.	.	PROPN
ejpam-3069	287	6	mehraliyev	mehraliyev	PROPN
ejpam-3069	287	7	,	,	PUNCT
ejpam-3069	287	8	on	on	ADP
ejpam-3069	287	9	an	an	DET
ejpam-3069	287	10	inverse	inverse	NOUN
ejpam-3069	287	11	boundary	boundary	NOUN
ejpam-3069	287	12	value	value	NOUN
ejpam-3069	287	13	problem	problem	NOUN
ejpam-3069	287	14	for	for	ADP
ejpam-3069	287	15	a	a	DET
ejpam-3069	287	16	second	second	ADJ
ejpam-3069	287	17	order	order	NOUN
ejpam-3069	287	18	elliptic	elliptic	ADJ
ejpam-3069	287	19	equation	equation	NOUN
ejpam-3069	287	20	with	with	ADP
ejpam-3069	287	21	integral	integral	ADJ
ejpam-3069	287	22	condition	condition	NOUN
ejpam-3069	287	23	,	,	PUNCT
ejpam-3069	287	24	visnyk	visnyk	ADV
ejpam-3069	287	25	of	of	ADP
ejpam-3069	287	26	the	the	DET
ejpam-3069	287	27	lviv	lviv	PROPN
ejpam-3069	287	28	university	university	PROPN
ejpam-3069	287	29	,	,	PUNCT
ejpam-3069	287	30	series	series	NOUN
ejpam-3069	287	31	mechanics	mechanic	NOUN
ejpam-3069	287	32	and	and	CCONJ
ejpam-3069	287	33	mathematics	mathematic	NOUN
ejpam-3069	287	34	,	,	PUNCT
ejpam-3069	287	35	77:145	77:145	NUM
ejpam-3069	287	36	-	-	SYM
ejpam-3069	287	37	156	156	NUM
ejpam-3069	287	38	,	,	PUNCT
ejpam-3069	287	39	2012	2012	NUM
ejpam-3069	287	40	.	.	PUNCT
ejpam-3069	288	1	[	[	X
ejpam-3069	288	2	11	11	NUM
ejpam-3069	288	3	]	]	X
ejpam-3069	288	4	y.t	y.t	PROPN
ejpam-3069	288	5	.	.	PROPN
ejpam-3069	288	6	mehraliyev	mehraliyev	PROPN
ejpam-3069	288	7	and	and	CCONJ
ejpam-3069	288	8	f.	f.	PROPN
ejpam-3069	288	9	kanca	kanca	PROPN
ejpam-3069	288	10	,	,	PUNCT
ejpam-3069	288	11	an	an	DET
ejpam-3069	288	12	inverse	inverse	ADJ
ejpam-3069	288	13	boundary	boundary	NOUN
ejpam-3069	288	14	value	value	NOUN
ejpam-3069	288	15	problem	problem	NOUN
ejpam-3069	288	16	for	for	ADP
ejpam-3069	288	17	a	a	DET
ejpam-3069	288	18	second	second	ADJ
ejpam-3069	288	19	order	order	NOUN
ejpam-3069	288	20	elliptic	elliptic	ADJ
ejpam-3069	288	21	equation	equation	NOUN
ejpam-3069	288	22	in	in	ADP
ejpam-3069	288	23	a	a	DET
ejpam-3069	288	24	rectangle	rectangle	NOUN
ejpam-3069	288	25	,	,	PUNCT
ejpam-3069	288	26	mathematical	mathematical	ADJ
ejpam-3069	288	27	modelling	modelling	NOUN
ejpam-3069	288	28	and	and	CCONJ
ejpam-3069	288	29	analysis	analysis	NOUN
ejpam-3069	288	30	,	,	PUNCT
ejpam-3069	288	31	19(2	19(2	NUM
ejpam-3069	288	32	):	):	PUNCT
ejpam-3069	288	33	241	241	NUM
ejpam-3069	288	34	-	-	SYM
ejpam-3069	288	35	256	256	NUM
ejpam-3069	288	36	,	,	PUNCT
ejpam-3069	288	37	2014	2014	NUM
ejpam-3069	288	38	.	.	PUNCT
ejpam-3069	289	1	[	[	X
ejpam-3069	289	2	12	12	NUM
ejpam-3069	289	3	]	]	PUNCT
ejpam-3069	289	4	a.m.	a.m.	NOUN
ejpam-3069	289	5	nakhushev	nakhushev	PROPN
ejpam-3069	289	6	,	,	PUNCT
ejpam-3069	289	7	a	a	DET
ejpam-3069	289	8	method	method	NOUN
ejpam-3069	289	9	of	of	ADP
ejpam-3069	289	10	approximation	approximation	NOUN
ejpam-3069	289	11	of	of	ADP
ejpam-3069	289	12	solving	solve	VERB
ejpam-3069	289	13	the	the	DET
ejpam-3069	289	14	boundary	boundary	ADJ
ejpam-3069	289	15	value	value	NOUN
ejpam-3069	289	16	problems	problem	NOUN
ejpam-3069	289	17	for	for	ADP
ejpam-3069	289	18	the	the	DET
ejpam-3069	289	19	differential	differential	ADJ
ejpam-3069	289	20	equations	equation	NOUN
ejpam-3069	289	21	and	and	CCONJ
ejpam-3069	289	22	its	its	PRON
ejpam-3069	289	23	approximation	approximation	NOUN
ejpam-3069	289	24	to	to	ADP
ejpam-3069	289	25	dynamics	dynamic	NOUN
ejpam-3069	289	26	of	of	ADP
ejpam-3069	289	27	soil	soil	NOUN
ejpam-3069	289	28	moisture	moisture	NOUN
ejpam-3069	289	29	and	and	CCONJ
ejpam-3069	289	30	ground	ground	NOUN
ejpam-3069	289	31	water	water	NOUN
ejpam-3069	289	32	,	,	PUNCT
ejpam-3069	289	33	differ	differ	VERB
ejpam-3069	289	34	.	.	PUNCT
ejpam-3069	290	1	uravn	uravn	ADJ
ejpam-3069	290	2	.	.	PUNCT
ejpam-3069	291	1	,	,	PUNCT
ejpam-3069	291	2	18:72	18:72	NUM
ejpam-3069	291	3	-	-	SYM
ejpam-3069	291	4	81	81	NUM
ejpam-3069	291	5	,	,	PUNCT
ejpam-3069	291	6	1982	1982	NUM
ejpam-3069	291	7	.	.	PUNCT
ejpam-3069	292	1	[	[	X
ejpam-3069	292	2	13	13	NUM
ejpam-3069	292	3	]	]	X
ejpam-3069	292	4	t.e	t.e	PROPN
ejpam-3069	292	5	.	.	PROPN
ejpam-3069	292	6	oussaeif	oussaeif	PROPN
ejpam-3069	292	7	and	and	CCONJ
ejpam-3069	292	8	a.	a.	NOUN
ejpam-3069	292	9	bouziani	bouziani	PROPN
ejpam-3069	292	10	,	,	PUNCT
ejpam-3069	292	11	inverse	inverse	ADJ
ejpam-3069	292	12	problem	problem	NOUN
ejpam-3069	292	13	of	of	ADP
ejpam-3069	292	14	a	a	DET
ejpam-3069	292	15	hyperbolic	hyperbolic	ADJ
ejpam-3069	292	16	equation	equation	NOUN
ejpam-3069	292	17	with	with	ADP
ejpam-3069	292	18	an	an	DET
ejpam-3069	292	19	integral	integral	ADJ
ejpam-3069	292	20	overdetermination	overdetermination	NOUN
ejpam-3069	292	21	condition	condition	NOUN
ejpam-3069	292	22	,	,	PUNCT
ejpam-3069	292	23	electronic	electronic	ADJ
ejpam-3069	292	24	journal	journal	NOUN
ejpam-3069	292	25	of	of	ADP
ejpam-3069	292	26	differential	differential	ADJ
ejpam-3069	292	27	equations	equation	NOUN
ejpam-3069	292	28	,	,	PUNCT
ejpam-3069	292	29	2016(138):1	2016(138):1	NUM
ejpam-3069	292	30	-	-	SYM
ejpam-3069	292	31	7	7	NUM
ejpam-3069	292	32	,	,	PUNCT
ejpam-3069	292	33	2016	2016	NUM
ejpam-3069	292	34	.	.	PUNCT
ejpam-3069	293	1	[	[	X
ejpam-3069	293	2	14	14	NUM
ejpam-3069	293	3	]	]	X
ejpam-3069	293	4	a.i	a.i	PROPN
ejpam-3069	293	5	.	.	PROPN
ejpam-3069	293	6	prilepko	prilepko	PROPN
ejpam-3069	293	7	and	and	CCONJ
ejpam-3069	293	8	d.s	d.s	PROPN
ejpam-3069	293	9	.	.	PROPN
ejpam-3069	293	10	tkachenko	tkachenko	PROPN
ejpam-3069	293	11	,	,	PUNCT
ejpam-3069	293	12	properties	property	NOUN
ejpam-3069	293	13	of	of	ADP
ejpam-3069	293	14	solutions	solution	NOUN
ejpam-3069	293	15	of	of	ADP
ejpam-3069	293	16	a	a	DET
ejpam-3069	293	17	parabolic	parabolic	ADJ
ejpam-3069	293	18	equation	equation	NOUN
ejpam-3069	293	19	and	and	CCONJ
ejpam-3069	293	20	the	the	DET
ejpam-3069	293	21	uniqueness	uniqueness	NOUN
ejpam-3069	293	22	of	of	ADP
ejpam-3069	293	23	the	the	DET
ejpam-3069	293	24	solution	solution	NOUN
ejpam-3069	293	25	of	of	ADP
ejpam-3069	293	26	the	the	DET
ejpam-3069	293	27	inverse	inverse	NOUN
ejpam-3069	293	28	source	source	NOUN
ejpam-3069	293	29	problem	problem	NOUN
ejpam-3069	293	30	with	with	ADP
ejpam-3069	293	31	integral	integral	ADJ
ejpam-3069	293	32	overdetermination	overdetermination	NOUN
ejpam-3069	293	33	,	,	PUNCT
ejpam-3069	293	34	computational	computational	ADJ
ejpam-3069	293	35	mathematics	mathematic	NOUN
ejpam-3069	293	36	and	and	CCONJ
ejpam-3069	293	37	mathematical	mathematical	ADJ
ejpam-3069	293	38	physics	physics	NOUN
ejpam-3069	293	39	,	,	PUNCT
ejpam-3069	293	40	43(4):537	43(4):537	PROPN
ejpam-3069	293	41	-	-	SYM
ejpam-3069	293	42	546	546	NUM
ejpam-3069	293	43	,	,	PUNCT
ejpam-3069	293	44	2003	2003	NUM
ejpam-3069	293	45	.	.	PUNCT
ejpam-3069	294	1	[	[	X
ejpam-3069	294	2	15	15	NUM
ejpam-3069	294	3	]	]	X
ejpam-3069	294	4	l.s	l.s	PROPN
ejpam-3069	294	5	.	.	PROPN
ejpam-3069	294	6	pulkina	pulkina	PROPN
ejpam-3069	294	7	,	,	PUNCT
ejpam-3069	294	8	solution	solution	NOUN
ejpam-3069	294	9	to	to	ADP
ejpam-3069	294	10	nonlocal	nonlocal	ADJ
ejpam-3069	294	11	problems	problem	NOUN
ejpam-3069	294	12	of	of	ADP
ejpam-3069	294	13	pseudohyperbolic	pseudohyperbolic	ADJ
ejpam-3069	294	14	equations	equation	NOUN
ejpam-3069	294	15	,	,	PUNCT
ejpam-3069	294	16	electronic	electronic	ADJ
ejpam-3069	294	17	journal	journal	NOUN
ejpam-3069	294	18	of	of	ADP
ejpam-3069	294	19	differential	differential	ADJ
ejpam-3069	294	20	equations	equation	NOUN
ejpam-3069	294	21	,	,	PUNCT
ejpam-3069	294	22	2014(116):1	2014(116):1	PROPN
ejpam-3069	294	23	-	-	SYM
ejpam-3069	294	24	9	9	NUM
ejpam-3069	294	25	,	,	PUNCT
ejpam-3069	294	26	2014	2014	NUM
ejpam-3069	294	27	.	.	PUNCT
ejpam-3069	295	1	[	[	X
ejpam-3069	295	2	16	16	NUM
ejpam-3069	295	3	]	]	X
ejpam-3069	295	4	s.g	s.g	PROPN
ejpam-3069	295	5	.	.	PROPN
ejpam-3069	295	6	pyatkov	pyatkov	PROPN
ejpam-3069	295	7	and	and	CCONJ
ejpam-3069	295	8	m.l	m.l	PROPN
ejpam-3069	295	9	.	.	PROPN
ejpam-3069	295	10	samkov	samkov	PROPN
ejpam-3069	295	11	,	,	PUNCT
ejpam-3069	295	12	solvability	solvability	NOUN
ejpam-3069	295	13	of	of	ADP
ejpam-3069	295	14	some	some	DET
ejpam-3069	295	15	inverse	inverse	NOUN
ejpam-3069	295	16	problems	problem	NOUN
ejpam-3069	295	17	for	for	ADP
ejpam-3069	295	18	the	the	DET
ejpam-3069	295	19	nonstationary	nonstationary	ADJ
ejpam-3069	295	20	heat	heat	NOUN
ejpam-3069	295	21	-	-	PUNCT
ejpam-3069	295	22	and	and	CCONJ
ejpam-3069	295	23	-	-	PUNCT
ejpam-3069	295	24	mass	mass	NOUN
ejpam-3069	295	25	-	-	PUNCT
ejpam-3069	295	26	transfer	transfer	NOUN
ejpam-3069	295	27	system	system	NOUN
ejpam-3069	295	28	,	,	PUNCT
ejpam-3069	295	29	journal	journal	NOUN
ejpam-3069	295	30	of	of	ADP
ejpam-3069	295	31	mathematical	mathematical	ADJ
ejpam-3069	295	32	analysis	analysis	NOUN
ejpam-3069	295	33	and	and	CCONJ
ejpam-3069	295	34	applications	application	NOUN
ejpam-3069	295	35	,	,	PUNCT
ejpam-3069	295	36	446	446	NUM
ejpam-3069	295	37	(	(	PUNCT
ejpam-3069	295	38	2):1449	2):1449	NOUN
ejpam-3069	295	39	-	-	PUNCT
ejpam-3069	295	40	1465	1465	NUM
ejpam-3069	295	41	,	,	PUNCT
ejpam-3069	295	42	2016	2016	NUM
ejpam-3069	295	43	.	.	PUNCT
ejpam-3069	296	1	[	[	X
ejpam-3069	296	2	17	17	NUM
ejpam-3069	296	3	]	]	X
ejpam-3069	296	4	a.g	a.g	PROPN
ejpam-3069	296	5	.	.	PROPN
ejpam-3069	296	6	ramm	ramm	PROPN
ejpam-3069	296	7	,	,	PUNCT
ejpam-3069	296	8	inverse	inverse	NOUN
ejpam-3069	296	9	problems	problem	NOUN
ejpam-3069	296	10	,	,	PUNCT
ejpam-3069	296	11	tomography	tomography	NOUN
ejpam-3069	296	12	and	and	CCONJ
ejpam-3069	296	13	image	image	NOUN
ejpam-3069	296	14	processing	processing	NOUN
ejpam-3069	296	15	,	,	PUNCT
ejpam-3069	296	16	springer	springer	NOUN
ejpam-3069	296	17	science+business	science+business	NOUN
ejpam-3069	296	18	media	medium	NOUN
ejpam-3069	296	19	,	,	PUNCT
ejpam-3069	296	20	llc	llc	PROPN
ejpam-3069	296	21	,	,	PUNCT
ejpam-3069	296	22	new	new	PROPN
ejpam-3069	296	23	york	york	PROPN
ejpam-3069	296	24	,	,	PUNCT
ejpam-3069	296	25	1998	1998	NUM
ejpam-3069	296	26	.	.	PUNCT
ejpam-3069	297	1	[	[	X
ejpam-3069	297	2	18	18	NUM
ejpam-3069	297	3	]	]	X
ejpam-3069	297	4	v.g	v.g	PROPN
ejpam-3069	297	5	.	.	PROPN
ejpam-3069	297	6	romanov	romanov	PROPN
ejpam-3069	297	7	,	,	PUNCT
ejpam-3069	297	8	inverse	inverse	NOUN
ejpam-3069	297	9	problems	problem	NOUN
ejpam-3069	297	10	of	of	ADP
ejpam-3069	297	11	mathematical	mathematical	ADJ
ejpam-3069	297	12	physics	physics	NOUN
ejpam-3069	297	13	(	(	PUNCT
ejpam-3069	297	14	in	in	ADP
ejpam-3069	297	15	russian	russian	PROPN
ejpam-3069	297	16	)	)	PUNCT
ejpam-3069	297	17	,	,	PUNCT
ejpam-3069	297	18	moscow	moscow	PROPN
ejpam-3069	297	19	,	,	PUNCT
ejpam-3069	297	20	1984	1984	NUM
ejpam-3069	297	21	.	.	PUNCT
ejpam-3069	298	1	[	[	X
ejpam-3069	298	2	19	19	NUM
ejpam-3069	298	3	]	]	X
ejpam-3069	298	4	o.v	o.v	PROPN
ejpam-3069	298	5	.	.	PROPN
ejpam-3069	298	6	soboleva	soboleva	PROPN
ejpam-3069	298	7	,	,	PUNCT
ejpam-3069	298	8	inverse	inverse	ADJ
ejpam-3069	298	9	extremal	extremal	ADJ
ejpam-3069	298	10	problem	problem	NOUN
ejpam-3069	298	11	for	for	ADP
ejpam-3069	298	12	the	the	DET
ejpam-3069	298	13	stationary	stationary	ADJ
ejpam-3069	298	14	convection	convection	NOUN
ejpam-3069	298	15	-	-	PUNCT
ejpam-3069	298	16	diffusionreaction	diffusionreaction	NOUN
ejpam-3069	298	17	equation	equation	NOUN
ejpam-3069	298	18	(	(	PUNCT
ejpam-3069	298	19	in	in	ADP
ejpam-3069	298	20	russian	russian	PROPN
ejpam-3069	298	21	)	)	PUNCT
ejpam-3069	299	1	,	,	PUNCT
ejpam-3069	299	2	dal’nevost	dal’nevost	PROPN
ejpam-3069	299	3	.	.	PUNCT
ejpam-3069	299	4	mat	mat	PROPN
ejpam-3069	299	5	.	.	PUNCT
ejpam-3069	299	6	zh	zh	PROPN
ejpam-3069	299	7	.	.	PUNCT
ejpam-3069	300	1	10(2):170	10(2):170	NUM
ejpam-3069	300	2	-	-	SYM
ejpam-3069	300	3	184	184	NUM
ejpam-3069	300	4	,	,	PUNCT
ejpam-3069	300	5	2010	2010	NUM
ejpam-3069	300	6	.	.	PUNCT