id	sid	tid	token	lemma	pos
ejpam-3433	1	1	european	european	PROPN
ejpam-3433	1	2	journal	journal	PROPN
ejpam-3433	1	3	of	of	ADP
ejpam-3433	1	4	pure	pure	ADJ
ejpam-3433	1	5	and	and	CCONJ
ejpam-3433	1	6	applied	apply	VERB
ejpam-3433	1	7	mathematics	mathematic	NOUN
ejpam-3433	1	8	vol	vol	NOUN
ejpam-3433	1	9	.	.	PROPN
ejpam-3433	2	1	12	12	NUM
ejpam-3433	2	2	,	,	PUNCT
ejpam-3433	2	3	no	no	INTJ
ejpam-3433	2	4	.	.	NOUN
ejpam-3433	2	5	3	3	NUM
ejpam-3433	2	6	,	,	PUNCT
ejpam-3433	2	7	2019	2019	NUM
ejpam-3433	2	8	,	,	PUNCT
ejpam-3433	2	9	756	756	NUM
ejpam-3433	2	10	-	-	SYM
ejpam-3433	2	11	770	770	NUM
ejpam-3433	2	12	issn	issn	PROPN
ejpam-3433	2	13	1307	1307	NUM
ejpam-3433	2	14	-	-	SYM
ejpam-3433	2	15	5543	5543	NUM
ejpam-3433	2	16	–	–	PUNCT
ejpam-3433	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3433	2	18	published	publish	VERB
ejpam-3433	2	19	by	by	ADP
ejpam-3433	2	20	new	new	PROPN
ejpam-3433	2	21	york	york	PROPN
ejpam-3433	2	22	business	business	PROPN
ejpam-3433	2	23	global	global	ADJ
ejpam-3433	2	24	existence	existence	NOUN
ejpam-3433	2	25	and	and	CCONJ
ejpam-3433	2	26	uniqueness	uniqueness	NOUN
ejpam-3433	2	27	of	of	ADP
ejpam-3433	2	28	solutions	solution	NOUN
ejpam-3433	2	29	for	for	ADP
ejpam-3433	2	30	the	the	DET
ejpam-3433	2	31	system	system	NOUN
ejpam-3433	2	32	of	of	ADP
ejpam-3433	2	33	first	first	ADJ
ejpam-3433	2	34	-	-	PUNCT
ejpam-3433	2	35	order	order	NOUN
ejpam-3433	2	36	nonlinear	nonlinear	ADJ
ejpam-3433	2	37	differential	differential	ADJ
ejpam-3433	2	38	equations	equation	NOUN
ejpam-3433	2	39	with	with	ADP
ejpam-3433	2	40	three	three	NUM
ejpam-3433	2	41	-	-	PUNCT
ejpam-3433	2	42	point	point	NOUN
ejpam-3433	2	43	and	and	CCONJ
ejpam-3433	2	44	integral	integral	ADJ
ejpam-3433	2	45	boundary	boundary	ADJ
ejpam-3433	2	46	conditions	condition	NOUN
ejpam-3433	2	47	m.	m.	NOUN
ejpam-3433	2	48	j.	j.	PROPN
ejpam-3433	2	49	mardanov1	mardanov1	PROPN
ejpam-3433	2	50	,	,	PUNCT
ejpam-3433	2	51	y.	y.	PROPN
ejpam-3433	2	52	a.	a.	PROPN
ejpam-3433	2	53	sharifov1,2,∗	sharifov1,2,∗	PROPN
ejpam-3433	2	54	,	,	PUNCT
ejpam-3433	2	55	k.	k.	PROPN
ejpam-3433	2	56	e.	e.	PROPN
ejpam-3433	2	57	ismayilova3	ismayilova3	PROPN
ejpam-3433	2	58	,	,	PUNCT
ejpam-3433	2	59	s.	s.	PROPN
ejpam-3433	2	60	a.	a.	PROPN
ejpam-3433	2	61	zamanova4	zamanova4	PROPN
ejpam-3433	2	62	1	1	NUM
ejpam-3433	2	63	institute	institute	PROPN
ejpam-3433	2	64	of	of	ADP
ejpam-3433	2	65	mathematics	mathematics	PROPN
ejpam-3433	2	66	and	and	CCONJ
ejpam-3433	2	67	mechanics	mechanic	NOUN
ejpam-3433	2	68	,	,	PUNCT
ejpam-3433	2	69	anas	anas	PROPN
ejpam-3433	2	70	,	,	PUNCT
ejpam-3433	2	71	baku	baku	PROPN
ejpam-3433	2	72	,	,	PUNCT
ejpam-3433	2	73	azerbaijan	azerbaijan	PROPN
ejpam-3433	2	74	2	2	NUM
ejpam-3433	2	75	baku	baku	PROPN
ejpam-3433	2	76	state	state	PROPN
ejpam-3433	2	77	university	university	PROPN
ejpam-3433	2	78	,	,	PUNCT
ejpam-3433	2	79	institute	institute	NOUN
ejpam-3433	2	80	of	of	ADP
ejpam-3433	2	81	mathematics	mathematics	PROPN
ejpam-3433	2	82	and	and	CCONJ
ejpam-3433	2	83	mechanics	mechanic	NOUN
ejpam-3433	2	84	,	,	PUNCT
ejpam-3433	2	85	anas	anas	PROPN
ejpam-3433	2	86	,	,	PUNCT
ejpam-3433	2	87	baku	baku	PROPN
ejpam-3433	2	88	,	,	PUNCT
ejpam-3433	2	89	azerbaijan	azerbaijan	PROPN
ejpam-3433	2	90	3	3	NUM
ejpam-3433	2	91	baku	baku	PROPN
ejpam-3433	2	92	engineering	engineering	PROPN
ejpam-3433	2	93	university	university	PROPN
ejpam-3433	2	94	,	,	PUNCT
ejpam-3433	2	95	khirdalan	khirdalan	PROPN
ejpam-3433	2	96	city	city	PROPN
ejpam-3433	2	97	,	,	PUNCT
ejpam-3433	2	98	azerbaijan	azerbaijan	PROPN
ejpam-3433	2	99	4	4	NUM
ejpam-3433	2	100	azerbaijan	azerbaijan	PROPN
ejpam-3433	2	101	state	state	PROPN
ejpam-3433	2	102	university	university	PROPN
ejpam-3433	2	103	of	of	ADP
ejpam-3433	2	104	economics	economic	NOUN
ejpam-3433	2	105	,	,	PUNCT
ejpam-3433	2	106	baku	baku	PROPN
ejpam-3433	2	107	,	,	PUNCT
ejpam-3433	2	108	azebaijan	azebaijan	PROPN
ejpam-3433	2	109	abstract	abstract	NOUN
ejpam-3433	2	110	.	.	PUNCT
ejpam-3433	3	1	in	in	ADP
ejpam-3433	3	2	the	the	DET
ejpam-3433	3	3	paper	paper	NOUN
ejpam-3433	3	4	,	,	PUNCT
ejpam-3433	3	5	the	the	DET
ejpam-3433	3	6	existence	existence	NOUN
ejpam-3433	3	7	and	and	CCONJ
ejpam-3433	3	8	uniqueness	uniqueness	NOUN
ejpam-3433	3	9	of	of	ADP
ejpam-3433	3	10	the	the	DET
ejpam-3433	3	11	solutions	solution	NOUN
ejpam-3433	3	12	for	for	ADP
ejpam-3433	3	13	the	the	DET
ejpam-3433	3	14	system	system	NOUN
ejpam-3433	3	15	of	of	ADP
ejpam-3433	3	16	the	the	DET
ejpam-3433	3	17	nonlinear	nonlinear	ADJ
ejpam-3433	3	18	first	first	ADJ
ejpam-3433	3	19	-	-	PUNCT
ejpam-3433	3	20	order	order	NOUN
ejpam-3433	3	21	ordinary	ordinary	ADJ
ejpam-3433	3	22	differential	differential	ADJ
ejpam-3433	3	23	equations	equation	NOUN
ejpam-3433	3	24	with	with	ADP
ejpam-3433	3	25	three	three	NUM
ejpam-3433	3	26	-	-	PUNCT
ejpam-3433	3	27	point	point	NOUN
ejpam-3433	3	28	and	and	CCONJ
ejpam-3433	3	29	integral	integral	ADJ
ejpam-3433	3	30	boundary	boundary	ADJ
ejpam-3433	3	31	conditions	condition	NOUN
ejpam-3433	3	32	are	be	AUX
ejpam-3433	3	33	studied	study	VERB
ejpam-3433	3	34	.	.	PUNCT
ejpam-3433	4	1	the	the	DET
ejpam-3433	4	2	green	green	ADJ
ejpam-3433	4	3	function	function	NOUN
ejpam-3433	4	4	is	be	AUX
ejpam-3433	4	5	constructed	construct	VERB
ejpam-3433	4	6	and	and	CCONJ
ejpam-3433	4	7	the	the	DET
ejpam-3433	4	8	considered	consider	VERB
ejpam-3433	4	9	problem	problem	NOUN
ejpam-3433	4	10	is	be	AUX
ejpam-3433	4	11	reduced	reduce	VERB
ejpam-3433	4	12	to	to	ADP
ejpam-3433	4	13	the	the	DET
ejpam-3433	4	14	equivalent	equivalent	ADJ
ejpam-3433	4	15	integral	integral	ADJ
ejpam-3433	4	16	equation	equation	NOUN
ejpam-3433	4	17	.	.	PUNCT
ejpam-3433	5	1	the	the	DET
ejpam-3433	5	2	existence	existence	NOUN
ejpam-3433	5	3	and	and	CCONJ
ejpam-3433	5	4	uniqueness	uniqueness	NOUN
ejpam-3433	5	5	of	of	ADP
ejpam-3433	5	6	the	the	DET
ejpam-3433	5	7	solutions	solution	NOUN
ejpam-3433	5	8	for	for	ADP
ejpam-3433	5	9	the	the	DET
ejpam-3433	5	10	given	give	VERB
ejpam-3433	5	11	problem	problem	NOUN
ejpam-3433	5	12	are	be	AUX
ejpam-3433	5	13	analyzed	analyze	VERB
ejpam-3433	5	14	by	by	ADP
ejpam-3433	5	15	using	use	VERB
ejpam-3433	5	16	the	the	DET
ejpam-3433	5	17	banach	banach	NOUN
ejpam-3433	5	18	contraction	contraction	NOUN
ejpam-3433	5	19	principle	principle	NOUN
ejpam-3433	5	20	.	.	PUNCT
ejpam-3433	6	1	the	the	DET
ejpam-3433	6	2	schaefer	schaefer	NOUN
ejpam-3433	6	3	’s	’s	PART
ejpam-3433	6	4	fixed	fix	VERB
ejpam-3433	6	5	point	point	NOUN
ejpam-3433	6	6	theorem	theorem	NOUN
ejpam-3433	6	7	is	be	AUX
ejpam-3433	6	8	then	then	ADV
ejpam-3433	6	9	used	use	VERB
ejpam-3433	6	10	to	to	PART
ejpam-3433	6	11	prove	prove	VERB
ejpam-3433	6	12	the	the	DET
ejpam-3433	6	13	existence	existence	NOUN
ejpam-3433	6	14	of	of	ADP
ejpam-3433	6	15	the	the	DET
ejpam-3433	6	16	solutions	solution	NOUN
ejpam-3433	6	17	.	.	PUNCT
ejpam-3433	7	1	finally	finally	ADV
ejpam-3433	7	2	,	,	PUNCT
ejpam-3433	7	3	the	the	DET
ejpam-3433	7	4	examples	example	NOUN
ejpam-3433	7	5	are	be	AUX
ejpam-3433	7	6	given	give	VERB
ejpam-3433	7	7	to	to	PART
ejpam-3433	7	8	verify	verify	VERB
ejpam-3433	7	9	the	the	DET
ejpam-3433	7	10	given	give	VERB
ejpam-3433	7	11	theorems	theorem	NOUN
ejpam-3433	7	12	.	.	PUNCT
ejpam-3433	8	1	2010	2010	NUM
ejpam-3433	8	2	mathematics	mathematic	NOUN
ejpam-3433	8	3	subject	subject	NOUN
ejpam-3433	8	4	classifications	classification	NOUN
ejpam-3433	8	5	:	:	PUNCT
ejpam-3433	8	6	34b10	34b10	NUM
ejpam-3433	8	7	,	,	PUNCT
ejpam-3433	8	8	34b15	34b15	NUM
ejpam-3433	8	9	key	key	ADJ
ejpam-3433	8	10	words	word	NOUN
ejpam-3433	8	11	and	and	CCONJ
ejpam-3433	8	12	phrases	phrase	NOUN
ejpam-3433	8	13	:	:	PUNCT
ejpam-3433	8	14	nonlocal	nonlocal	ADJ
ejpam-3433	8	15	boundary	boundary	ADJ
ejpam-3433	8	16	conditions	condition	NOUN
ejpam-3433	8	17	,	,	PUNCT
ejpam-3433	8	18	existence	existence	NOUN
ejpam-3433	8	19	,	,	PUNCT
ejpam-3433	8	20	uniqueness	uniqueness	NOUN
ejpam-3433	8	21	,	,	PUNCT
ejpam-3433	8	22	fixed	fixed	ADJ
ejpam-3433	8	23	point	point	NOUN
ejpam-3433	8	24	,	,	PUNCT
ejpam-3433	8	25	first	first	ADJ
ejpam-3433	8	26	order	order	NOUN
ejpam-3433	8	27	nonlinear	nonlinear	ADJ
ejpam-3433	8	28	differential	differential	ADJ
ejpam-3433	8	29	equations	equation	NOUN
ejpam-3433	8	30	1	1	NUM
ejpam-3433	8	31	.	.	PUNCT
ejpam-3433	9	1	introduction	introduction	NOUN
ejpam-3433	9	2	and	and	CCONJ
ejpam-3433	9	3	problem	problem	NOUN
ejpam-3433	9	4	statement	statement	NOUN
ejpam-3433	9	5	the	the	DET
ejpam-3433	9	6	multipoint	multipoint	NOUN
ejpam-3433	9	7	and	and	CCONJ
ejpam-3433	9	8	integral	integral	ADJ
ejpam-3433	9	9	boundary	boundary	ADJ
ejpam-3433	9	10	value	value	NOUN
ejpam-3433	9	11	problems	problem	NOUN
ejpam-3433	9	12	for	for	ADP
ejpam-3433	9	13	odes	ode	NOUN
ejpam-3433	9	14	and	and	CCONJ
ejpam-3433	9	15	their	their	PRON
ejpam-3433	9	16	systems	system	NOUN
ejpam-3433	9	17	play	play	VERB
ejpam-3433	9	18	an	an	DET
ejpam-3433	9	19	important	important	ADJ
ejpam-3433	9	20	role	role	NOUN
ejpam-3433	9	21	both	both	CCONJ
ejpam-3433	9	22	in	in	ADP
ejpam-3433	9	23	theory	theory	NOUN
ejpam-3433	9	24	and	and	CCONJ
ejpam-3433	9	25	application	application	NOUN
ejpam-3433	9	26	.	.	PUNCT
ejpam-3433	10	1	boundary	boundary	ADJ
ejpam-3433	10	2	value	value	NOUN
ejpam-3433	10	3	problems	problem	NOUN
ejpam-3433	10	4	with	with	ADP
ejpam-3433	10	5	nonlocal	nonlocal	ADJ
ejpam-3433	10	6	boundary	boundary	ADJ
ejpam-3433	10	7	conditions	condition	NOUN
ejpam-3433	10	8	for	for	SCONJ
ejpam-3433	10	9	the	the	DET
ejpam-3433	10	10	nonlinear	nonlinear	ADJ
ejpam-3433	10	11	differential	differential	ADJ
ejpam-3433	10	12	equations	equation	NOUN
ejpam-3433	10	13	arise	arise	VERB
ejpam-3433	10	14	in	in	ADP
ejpam-3433	10	15	several	several	ADJ
ejpam-3433	10	16	branches	branch	NOUN
ejpam-3433	10	17	of	of	ADP
ejpam-3433	10	18	physics	physics	NOUN
ejpam-3433	10	19	and	and	CCONJ
ejpam-3433	10	20	applied	apply	VERB
ejpam-3433	10	21	mathematics	mathematic	NOUN
ejpam-3433	10	22	.	.	PUNCT
ejpam-3433	11	1	some	some	DET
ejpam-3433	11	2	examples	example	NOUN
ejpam-3433	11	3	in	in	ADP
ejpam-3433	11	4	application	application	NOUN
ejpam-3433	11	5	to	to	PART
ejpam-3433	11	6	heat	heat	NOUN
ejpam-3433	11	7	conduction	conduction	NOUN
ejpam-3433	11	8	,	,	PUNCT
ejpam-3433	11	9	thermo	thermo	NOUN
ejpam-3433	11	10	-	-	PUNCT
ejpam-3433	11	11	elasticity	elasticity	NOUN
ejpam-3433	11	12	,	,	PUNCT
ejpam-3433	11	13	chemical	chemical	NOUN
ejpam-3433	11	14	engineering	engineering	NOUN
ejpam-3433	11	15	,	,	PUNCT
ejpam-3433	11	16	plasma	plasma	NOUN
ejpam-3433	11	17	physics	physics	NOUN
ejpam-3433	11	18	,	,	PUNCT
ejpam-3433	11	19	and	and	CCONJ
ejpam-3433	11	20	underground	underground	ADJ
ejpam-3433	11	21	water	water	NOUN
ejpam-3433	11	22	flow	flow	NOUN
ejpam-3433	11	23	can	can	AUX
ejpam-3433	11	24	be	be	AUX
ejpam-3433	11	25	reduced	reduce	VERB
ejpam-3433	11	26	to	to	ADP
ejpam-3433	11	27	nonlocal	nonlocal	ADJ
ejpam-3433	11	28	problems	problem	NOUN
ejpam-3433	11	29	with	with	ADP
ejpam-3433	11	30	integral	integral	ADJ
ejpam-3433	11	31	boundary	boundary	ADJ
ejpam-3433	11	32	conditions	condition	NOUN
ejpam-3433	11	33	(	(	PUNCT
ejpam-3433	11	34	see	see	VERB
ejpam-3433	11	35	[	[	X
ejpam-3433	11	36	4	4	NUM
ejpam-3433	11	37	,	,	PUNCT
ejpam-3433	11	38	6	6	NUM
ejpam-3433	11	39	,	,	PUNCT
ejpam-3433	11	40	12	12	NUM
ejpam-3433	11	41	,	,	PUNCT
ejpam-3433	11	42	22	22	NUM
ejpam-3433	11	43	]	]	PUNCT
ejpam-3433	11	44	)	)	PUNCT
ejpam-3433	11	45	.	.	PUNCT
ejpam-3433	12	1	at	at	ADP
ejpam-3433	12	2	present	present	ADJ
ejpam-3433	12	3	,	,	PUNCT
ejpam-3433	12	4	first	first	ADJ
ejpam-3433	12	5	-	-	PUNCT
ejpam-3433	12	6	order	order	NOUN
ejpam-3433	12	7	differential	differential	ADJ
ejpam-3433	12	8	equations	equation	NOUN
ejpam-3433	12	9	with	with	ADP
ejpam-3433	12	10	nonlocal	nonlocal	ADJ
ejpam-3433	12	11	conditions	condition	NOUN
ejpam-3433	12	12	have	have	AUX
ejpam-3433	12	13	been	be	AUX
ejpam-3433	12	14	little	little	ADV
ejpam-3433	12	15	studied	study	VERB
ejpam-3433	12	16	[	[	PUNCT
ejpam-3433	12	17	2	2	NUM
ejpam-3433	12	18	,	,	PUNCT
ejpam-3433	12	19	4	4	NUM
ejpam-3433	12	20	,	,	PUNCT
ejpam-3433	12	21	6	6	NUM
ejpam-3433	12	22	,	,	PUNCT
ejpam-3433	12	23	13	13	NUM
ejpam-3433	12	24	,	,	PUNCT
ejpam-3433	12	25	19–25	19–25	NUM
ejpam-3433	12	26	,	,	PUNCT
ejpam-3433	12	27	27	27	NUM
ejpam-3433	12	28	]	]	PUNCT
ejpam-3433	12	29	,	,	PUNCT
ejpam-3433	12	30	and	and	CCONJ
ejpam-3433	12	31	especially	especially	ADV
ejpam-3433	12	32	for	for	ADP
ejpam-3433	12	33	the	the	DET
ejpam-3433	12	34	second	second	ADJ
ejpam-3433	12	35	-	-	PUNCT
ejpam-3433	12	36	order	order	NOUN
ejpam-3433	12	37	differential	differential	ADJ
ejpam-3433	12	38	equations	equation	NOUN
ejpam-3433	12	39	with	with	ADP
ejpam-3433	12	40	nonlocal	nonlocal	ADJ
ejpam-3433	12	41	boundary	boundary	ADJ
ejpam-3433	12	42	conditions	condition	NOUN
ejpam-3433	13	1	[	[	X
ejpam-3433	13	2	7–11	7–11	NOUN
ejpam-3433	13	3	,	,	PUNCT
ejpam-3433	13	4	14–16	14–16	NUM
ejpam-3433	13	5	,	,	PUNCT
ejpam-3433	13	6	18	18	NUM
ejpam-3433	13	7	,	,	PUNCT
ejpam-3433	13	8	26	26	NUM
ejpam-3433	13	9	]	]	PUNCT
ejpam-3433	13	10	and	and	CCONJ
ejpam-3433	13	11	the	the	DET
ejpam-3433	13	12	references	reference	NOUN
ejpam-3433	13	13	therein	therein	ADV
ejpam-3433	13	14	.	.	PUNCT
ejpam-3433	14	1	∗corresponding	∗corresponde	VERB
ejpam-3433	14	2	author	author	NOUN
ejpam-3433	14	3	.	.	PUNCT
ejpam-3433	15	1	doi	doi	NOUN
ejpam-3433	15	2	:	:	PUNCT
ejpam-3433	15	3	https://doi.org/10.29020/nybg.ejpam.v12i3.3433	https://doi.org/10.29020/nybg.ejpam.v12i3.3433	NOUN
ejpam-3433	15	4	email	email	NOUN
ejpam-3433	15	5	addresses	address	VERB
ejpam-3433	15	6	:	:	PUNCT
ejpam-3433	16	1	misirmardanov@yahoo.com	misirmardanov@yahoo.com	X
ejpam-3433	16	2	(	(	PUNCT
ejpam-3433	16	3	m.	m.	NOUN
ejpam-3433	16	4	j.	j.	PROPN
ejpam-3433	16	5	mardanov	mardanov	PROPN
ejpam-3433	16	6	)	)	PUNCT
ejpam-3433	16	7	,	,	PUNCT
ejpam-3433	16	8	sharifov22@rambler.ru	sharifov22@rambler.ru	PROPN
ejpam-3433	16	9	(	(	PUNCT
ejpam-3433	16	10	y.	y.	PROPN
ejpam-3433	16	11	a.	a.	PROPN
ejpam-3433	16	12	sharifov	sharifov	PROPN
ejpam-3433	16	13	)	)	PUNCT
ejpam-3433	16	14	,	,	PUNCT
ejpam-3433	16	15	keismayilova@beu.edu.az	keismayilova@beu.edu.az	PROPN
ejpam-3433	16	16	(	(	PUNCT
ejpam-3433	16	17	k.	k.	PROPN
ejpam-3433	16	18	e.	e.	PROPN
ejpam-3433	16	19	ismayilova	ismayilova	PROPN
ejpam-3433	16	20	)	)	PUNCT
ejpam-3433	16	21	,	,	PUNCT
ejpam-3433	16	22	sevinc.zamanova@gmail.com	sevinc.zamanova@gmail.com	X
ejpam-3433	16	23	(	(	PUNCT
ejpam-3433	16	24	s.	s.	PROPN
ejpam-3433	16	25	a.	a.	PROPN
ejpam-3433	16	26	zamanova	zamanova	PROPN
ejpam-3433	16	27	)	)	PUNCT
ejpam-3433	16	28	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3433	17	1	756	756	NUM
ejpam-3433	17	2	c	c	NOUN
ejpam-3433	17	3	©	©	PROPN
ejpam-3433	17	4	2019	2019	NUM
ejpam-3433	17	5	ejpam	ejpam	NOUN
ejpam-3433	17	6	all	all	DET
ejpam-3433	17	7	rights	right	NOUN
ejpam-3433	17	8	reserved	reserve	VERB
ejpam-3433	17	9	.	.	PUNCT
ejpam-3433	18	1	y.	y.	NOUN
ejpam-3433	18	2	a.	a.	PROPN
ejpam-3433	18	3	sharifov	sharifov	PROPN
ejpam-3433	18	4	et	et	PROPN
ejpam-3433	18	5	al	al	PROPN
ejpam-3433	18	6	.	.	PUNCT
ejpam-3433	18	7	/	/	SYM
ejpam-3433	18	8	eur	eur	PROPN
ejpam-3433	18	9	.	.	PUNCT
ejpam-3433	19	1	j.	j.	PROPN
ejpam-3433	19	2	pure	pure	PROPN
ejpam-3433	19	3	appl	appl	PROPN
ejpam-3433	19	4	.	.	PROPN
ejpam-3433	19	5	math	math	PROPN
ejpam-3433	19	6	,	,	PUNCT
ejpam-3433	19	7	12	12	NUM
ejpam-3433	19	8	(	(	PUNCT
ejpam-3433	19	9	3	3	NUM
ejpam-3433	19	10	)	)	PUNCT
ejpam-3433	19	11	(	(	PUNCT
ejpam-3433	19	12	2019	2019	NUM
ejpam-3433	19	13	)	)	PUNCT
ejpam-3433	19	14	,	,	PUNCT
ejpam-3433	19	15	756	756	NUM
ejpam-3433	19	16	-	-	SYM
ejpam-3433	19	17	770	770	NUM
ejpam-3433	19	18	757	757	NUM
ejpam-3433	19	19	the	the	DET
ejpam-3433	19	20	existence	existence	NOUN
ejpam-3433	19	21	and	and	CCONJ
ejpam-3433	19	22	uniqueness	uniqueness	NOUN
ejpam-3433	19	23	of	of	ADP
ejpam-3433	19	24	solutions	solution	NOUN
ejpam-3433	19	25	to	to	ADP
ejpam-3433	19	26	boundary	boundary	ADJ
ejpam-3433	19	27	value	value	NOUN
ejpam-3433	19	28	problems	problem	NOUN
ejpam-3433	19	29	for	for	ADP
ejpam-3433	19	30	the	the	DET
ejpam-3433	19	31	nonlinear	nonlinear	ADJ
ejpam-3433	19	32	system	system	NOUN
ejpam-3433	19	33	of	of	ADP
ejpam-3433	19	34	first	first	ADJ
ejpam-3433	19	35	-	-	PUNCT
ejpam-3433	19	36	order	order	NOUN
ejpam-3433	19	37	ordinary	ordinary	ADJ
ejpam-3433	19	38	differential	differential	ADJ
ejpam-3433	19	39	equations	equation	NOUN
ejpam-3433	19	40	with	with	ADP
ejpam-3433	19	41	three	three	NUM
ejpam-3433	19	42	-	-	PUNCT
ejpam-3433	19	43	point	point	NOUN
ejpam-3433	19	44	boundary	boundary	ADJ
ejpam-3433	19	45	conditions	condition	NOUN
ejpam-3433	19	46	have	have	AUX
ejpam-3433	19	47	been	be	AUX
ejpam-3433	19	48	studied	study	VERB
ejpam-3433	19	49	by	by	ADP
ejpam-3433	19	50	a	a	DET
ejpam-3433	19	51	broad	broad	ADJ
ejpam-3433	19	52	range	range	NOUN
ejpam-3433	19	53	of	of	ADP
ejpam-3433	19	54	techniques	technique	NOUN
ejpam-3433	19	55	[	[	X
ejpam-3433	19	56	18	18	NUM
ejpam-3433	19	57	,	,	PUNCT
ejpam-3433	19	58	19	19	NUM
ejpam-3433	19	59	,	,	PUNCT
ejpam-3433	19	60	23	23	NUM
ejpam-3433	19	61	,	,	PUNCT
ejpam-3433	19	62	25	25	NUM
ejpam-3433	19	63	,	,	PUNCT
ejpam-3433	19	64	27	27	NUM
ejpam-3433	19	65	]	]	PUNCT
ejpam-3433	19	66	.	.	PUNCT
ejpam-3433	20	1	the	the	DET
ejpam-3433	20	2	theory	theory	NOUN
ejpam-3433	20	3	of	of	ADP
ejpam-3433	20	4	boundary	boundary	ADJ
ejpam-3433	20	5	-	-	PUNCT
ejpam-3433	20	6	value	value	NOUN
ejpam-3433	20	7	problems	problem	NOUN
ejpam-3433	20	8	with	with	ADP
ejpam-3433	20	9	integral	integral	ADJ
ejpam-3433	20	10	boundary	boundary	ADJ
ejpam-3433	20	11	conditions	condition	NOUN
ejpam-3433	20	12	for	for	ADP
ejpam-3433	20	13	differential	differential	ADJ
ejpam-3433	20	14	equations	equation	NOUN
ejpam-3433	20	15	has	have	AUX
ejpam-3433	20	16	become	become	VERB
ejpam-3433	20	17	an	an	DET
ejpam-3433	20	18	important	important	ADJ
ejpam-3433	20	19	area	area	NOUN
ejpam-3433	20	20	of	of	ADP
ejpam-3433	20	21	investigation	investigation	NOUN
ejpam-3433	20	22	in	in	ADP
ejpam-3433	20	23	recent	recent	ADJ
ejpam-3433	20	24	years	year	NOUN
ejpam-3433	20	25	.	.	PUNCT
ejpam-3433	21	1	there	there	PRON
ejpam-3433	21	2	are	be	VERB
ejpam-3433	21	3	many	many	ADJ
ejpam-3433	21	4	results	result	NOUN
ejpam-3433	21	5	on	on	ADP
ejpam-3433	21	6	the	the	DET
ejpam-3433	21	7	existence	existence	NOUN
ejpam-3433	21	8	and	and	CCONJ
ejpam-3433	21	9	uniqueness	uniqueness	NOUN
ejpam-3433	21	10	of	of	ADP
ejpam-3433	21	11	solutions	solution	NOUN
ejpam-3433	21	12	for	for	ADP
ejpam-3433	21	13	boundary	boundary	ADJ
ejpam-3433	21	14	value	value	NOUN
ejpam-3433	21	15	problems	problem	NOUN
ejpam-3433	21	16	with	with	ADP
ejpam-3433	21	17	integral	integral	ADJ
ejpam-3433	21	18	boundary	boundary	NOUN
ejpam-3433	21	19	conditions.they	conditions.they	PRON
ejpam-3433	21	20	include	include	VERB
ejpam-3433	21	21	two	two	NUM
ejpam-3433	21	22	,	,	PUNCT
ejpam-3433	21	23	three	three	NUM
ejpam-3433	21	24	,	,	PUNCT
ejpam-3433	21	25	and	and	CCONJ
ejpam-3433	21	26	multipoint	multipoint	NOUN
ejpam-3433	21	27	and	and	CCONJ
ejpam-3433	21	28	nonlocal	nonlocal	ADJ
ejpam-3433	21	29	boundary	boundary	ADJ
ejpam-3433	21	30	value	value	NOUN
ejpam-3433	21	31	problems	problem	NOUN
ejpam-3433	21	32	as	as	ADP
ejpam-3433	21	33	special	special	ADJ
ejpam-3433	21	34	cases	case	NOUN
ejpam-3433	21	35	.	.	PUNCT
ejpam-3433	22	1	we	we	PRON
ejpam-3433	22	2	refer	refer	VERB
ejpam-3433	22	3	the	the	DET
ejpam-3433	22	4	reader	reader	NOUN
ejpam-3433	22	5	to	to	ADP
ejpam-3433	22	6	[	[	X
ejpam-3433	22	7	2	2	NUM
ejpam-3433	22	8	,	,	PUNCT
ejpam-3433	22	9	5	5	NUM
ejpam-3433	22	10	,	,	PUNCT
ejpam-3433	22	11	7–11	7–11	NOUN
ejpam-3433	22	12	,	,	PUNCT
ejpam-3433	22	13	13–17	13–17	NUM
ejpam-3433	22	14	,	,	PUNCT
ejpam-3433	22	15	28	28	NUM
ejpam-3433	22	16	]	]	PUNCT
ejpam-3433	22	17	and	and	CCONJ
ejpam-3433	22	18	the	the	DET
ejpam-3433	22	19	references	reference	NOUN
ejpam-3433	22	20	therein	therein	ADV
ejpam-3433	22	21	.	.	PUNCT
ejpam-3433	23	1	note	note	VERB
ejpam-3433	23	2	that	that	SCONJ
ejpam-3433	23	3	numerical	numerical	ADJ
ejpam-3433	23	4	methods	method	NOUN
ejpam-3433	23	5	for	for	ADP
ejpam-3433	23	6	multipoint	multipoint	NOUN
ejpam-3433	23	7	and	and	CCONJ
ejpam-3433	23	8	integral	integral	ADJ
ejpam-3433	23	9	boundary	boundary	ADJ
ejpam-3433	23	10	problems	problem	NOUN
ejpam-3433	23	11	for	for	ADP
ejpam-3433	23	12	firstorder	firstorder	NOUN
ejpam-3433	23	13	ordinary	ordinary	ADJ
ejpam-3433	23	14	differential	differential	ADJ
ejpam-3433	23	15	equations	equation	NOUN
ejpam-3433	23	16	were	be	AUX
ejpam-3433	23	17	developed	develop	VERB
ejpam-3433	23	18	in	in	ADP
ejpam-3433	23	19	[	[	X
ejpam-3433	23	20	1	1	NUM
ejpam-3433	23	21	,	,	PUNCT
ejpam-3433	23	22	3	3	NUM
ejpam-3433	23	23	]	]	PUNCT
ejpam-3433	23	24	.	.	PUNCT
ejpam-3433	24	1	in	in	ADP
ejpam-3433	24	2	this	this	DET
ejpam-3433	24	3	paper	paper	NOUN
ejpam-3433	24	4	,	,	PUNCT
ejpam-3433	24	5	we	we	PRON
ejpam-3433	24	6	concerned	concern	VERB
ejpam-3433	24	7	the	the	DET
ejpam-3433	24	8	existence	existence	NOUN
ejpam-3433	24	9	and	and	CCONJ
ejpam-3433	24	10	uniqueness	uniqueness	NOUN
ejpam-3433	24	11	of	of	ADP
ejpam-3433	24	12	the	the	DET
ejpam-3433	24	13	system	system	NOUN
ejpam-3433	24	14	of	of	ADP
ejpam-3433	24	15	nonlinear	nonlinear	ADJ
ejpam-3433	24	16	differential	differential	ADJ
ejpam-3433	24	17	equations	equation	NOUN
ejpam-3433	24	18	of	of	ADP
ejpam-3433	24	19	the	the	DET
ejpam-3433	24	20	type	type	NOUN
ejpam-3433	24	21	ẋ(t	ẋ(t	NOUN
ejpam-3433	24	22	)	)	PUNCT
ejpam-3433	24	23	=	=	PUNCT
ejpam-3433	25	1	f(t	f(t	NOUN
ejpam-3433	25	2	,	,	PUNCT
ejpam-3433	25	3	x(t	x(t	PROPN
ejpam-3433	25	4	)	)	PUNCT
ejpam-3433	25	5	)	)	PUNCT
ejpam-3433	25	6	for	for	ADP
ejpam-3433	25	7	t	t	PROPN
ejpam-3433	25	8	∈	∈	PROPN
ejpam-3433	26	1	[	[	X
ejpam-3433	26	2	0	0	NUM
ejpam-3433	26	3	,	,	PUNCT
ejpam-3433	26	4	t	t	X
ejpam-3433	26	5	]	]	PUNCT
ejpam-3433	26	6	,	,	PUNCT
ejpam-3433	26	7	(	(	PUNCT
ejpam-3433	26	8	1	1	X
ejpam-3433	26	9	)	)	PUNCT
ejpam-3433	26	10	subject	subject	NOUN
ejpam-3433	26	11	to	to	ADP
ejpam-3433	26	12	three	three	NUM
ejpam-3433	26	13	-	-	PUNCT
ejpam-3433	26	14	point	point	NOUN
ejpam-3433	26	15	and	and	CCONJ
ejpam-3433	26	16	integral	integral	ADJ
ejpam-3433	26	17	boundary	boundary	ADJ
ejpam-3433	26	18	conditions	condition	NOUN
ejpam-3433	26	19	ax(0	ax(0	PROPN
ejpam-3433	26	20	)	)	PUNCT
ejpam-3433	26	21	+	+	NOUN
ejpam-3433	26	22	bx(τ	bx(τ	NUM
ejpam-3433	26	23	)	)	PUNCT
ejpam-3433	27	1	+	+	CCONJ
ejpam-3433	27	2	cx(t	cx(t	NOUN
ejpam-3433	27	3	)	)	PUNCT
ejpam-3433	28	1	+	+	CCONJ
ejpam-3433	28	2	t∫	t∫	PRON
ejpam-3433	28	3	0	0	NUM
ejpam-3433	28	4	n(t)x(t)dt	n(t)x(t)dt	ADV
ejpam-3433	28	5	=	=	SYM
ejpam-3433	28	6	d	d	NOUN
ejpam-3433	28	7	,	,	PUNCT
ejpam-3433	28	8	(	(	PUNCT
ejpam-3433	28	9	2	2	X
ejpam-3433	28	10	)	)	PUNCT
ejpam-3433	28	11	wherea	wherea	NOUN
ejpam-3433	28	12	,	,	PUNCT
ejpam-3433	28	13	b	b	NOUN
ejpam-3433	28	14	,	,	PUNCT
ejpam-3433	28	15	c	c	PROPN
ejpam-3433	28	16	are	be	AUX
ejpam-3433	28	17	constant	constant	ADJ
ejpam-3433	28	18	square	square	ADJ
ejpam-3433	28	19	matrices	matrix	NOUN
ejpam-3433	28	20	of	of	ADP
ejpam-3433	28	21	order	order	NOUN
ejpam-3433	28	22	n	n	PRON
ejpam-3433	28	23	such	such	ADJ
ejpam-3433	28	24	that	that	DET
ejpam-3433	28	25	detn	detn	NOUN
ejpam-3433	28	26	6=	6=	ADP
ejpam-3433	28	27	0	0	NUM
ejpam-3433	28	28	,	,	PUNCT
ejpam-3433	28	29	n	n	PROPN
ejpam-3433	28	30	=	=	SYM
ejpam-3433	28	31	a+b+c+	a+b+c+	NOUN
ejpam-3433	29	1	+	+	CCONJ
ejpam-3433	29	2	t∫	t∫	NOUN
ejpam-3433	29	3	0	0	NUM
ejpam-3433	29	4	n(t)dt	n(t)dt	NOUN
ejpam-3433	29	5	;	;	PUNCT
ejpam-3433	29	6	f	f	X
ejpam-3433	29	7	:	:	PUNCT
ejpam-3433	30	1	[	[	X
ejpam-3433	30	2	0	0	NUM
ejpam-3433	30	3	,	,	PUNCT
ejpam-3433	30	4	t	t	NOUN
ejpam-3433	30	5	]	]	PUNCT
ejpam-3433	30	6	×rn	×rn	PROPN
ejpam-3433	30	7	→	→	SYM
ejpam-3433	30	8	rn	rn	PROPN
ejpam-3433	30	9	and	and	CCONJ
ejpam-3433	30	10	n	n	NOUN
ejpam-3433	30	11	:	:	PUNCT
ejpam-3433	30	12	[	[	X
ejpam-3433	30	13	0	0	NUM
ejpam-3433	30	14	,	,	PUNCT
ejpam-3433	30	15	t	t	X
ejpam-3433	30	16	]	]	PUNCT
ejpam-3433	30	17	→	→	SYM
ejpam-3433	30	18	rn×n	rn×n	PROPN
ejpam-3433	30	19	are	be	AUX
ejpam-3433	30	20	given	give	VERB
ejpam-3433	30	21	matrix	matrix	NOUN
ejpam-3433	30	22	-	-	PUNCT
ejpam-3433	30	23	functions	function	NOUN
ejpam-3433	30	24	;	;	PUNCT
ejpam-3433	30	25	d	d	PROPN
ejpam-3433	30	26	∈	∈	PROPN
ejpam-3433	30	27	rn	rn	PROPN
ejpam-3433	30	28	is	be	AUX
ejpam-3433	30	29	a	a	DET
ejpam-3433	30	30	given	give	VERB
ejpam-3433	30	31	vector	vector	NOUN
ejpam-3433	30	32	;	;	PUNCT
ejpam-3433	30	33	and	and	CCONJ
ejpam-3433	30	34	τ	τ	PROPN
ejpam-3433	30	35	satisfies	satisfy	VERB
ejpam-3433	30	36	the	the	DET
ejpam-3433	30	37	condition	condition	NOUN
ejpam-3433	30	38	0	0	PUNCT
ejpam-3433	30	39	<	<	X
ejpam-3433	30	40	τ	τ	X
ejpam-3433	30	41	<	<	X
ejpam-3433	30	42	t.	t.	X
ejpam-3433	30	43	we	we	PRON
ejpam-3433	30	44	denote	denote	VERB
ejpam-3433	30	45	by	by	ADP
ejpam-3433	30	46	c([0	c([0	NOUN
ejpam-3433	30	47	,	,	PUNCT
ejpam-3433	30	48	t	t	X
ejpam-3433	30	49	]	]	PUNCT
ejpam-3433	30	50	;	;	PUNCT
ejpam-3433	30	51	rn	rn	X
ejpam-3433	30	52	)	)	PUNCT
ejpam-3433	30	53	the	the	DET
ejpam-3433	30	54	banach	banach	NOUN
ejpam-3433	30	55	space	space	NOUN
ejpam-3433	30	56	of	of	ADP
ejpam-3433	30	57	all	all	DET
ejpam-3433	30	58	continuous	continuous	ADJ
ejpam-3433	30	59	functions	function	NOUN
ejpam-3433	30	60	x(t	x(t	PROPN
ejpam-3433	30	61	)	)	PUNCT
ejpam-3433	30	62	from	from	ADP
ejpam-3433	30	63	[	[	X
ejpam-3433	30	64	0	0	NUM
ejpam-3433	30	65	,	,	PUNCT
ejpam-3433	30	66	t	t	NOUN
ejpam-3433	30	67	]	]	PUNCT
ejpam-3433	30	68	to	to	PART
ejpam-3433	30	69	rn	rn	PROPN
ejpam-3433	30	70	with	with	ADP
ejpam-3433	30	71	the	the	DET
ejpam-3433	30	72	norm	norm	NOUN
ejpam-3433	30	73	‖x‖	‖x‖	PROPN
ejpam-3433	30	74	=	=	SYM
ejpam-3433	30	75	max	max	PROPN
ejpam-3433	30	76	{	{	PUNCT
ejpam-3433	30	77	|x(t)|	|x(t)|	PROPN
ejpam-3433	30	78	:	:	PUNCT
ejpam-3433	30	79	t	t	PROPN
ejpam-3433	30	80	∈	∈	PROPN
ejpam-3433	31	1	[	[	X
ejpam-3433	31	2	0	0	NUM
ejpam-3433	31	3	,	,	PUNCT
ejpam-3433	31	4	t	t	X
ejpam-3433	31	5	]	]	PUNCT
ejpam-3433	31	6	}	}	PUNCT
ejpam-3433	31	7	where	where	SCONJ
ejpam-3433	31	8	|·|	|·|	NOUN
ejpam-3433	31	9	is	be	AUX
ejpam-3433	31	10	the	the	DET
ejpam-3433	31	11	norm	norm	NOUN
ejpam-3433	31	12	in	in	ADP
ejpam-3433	31	13	the	the	DET
ejpam-3433	31	14	space	space	NOUN
ejpam-3433	31	15	rn	rn	PROPN
ejpam-3433	31	16	.	.	PUNCT
ejpam-3433	32	1	this	this	DET
ejpam-3433	32	2	paper	paper	NOUN
ejpam-3433	32	3	is	be	AUX
ejpam-3433	32	4	organized	organize	VERB
ejpam-3433	32	5	as	as	SCONJ
ejpam-3433	32	6	follows	follow	VERB
ejpam-3433	32	7	.	.	PUNCT
ejpam-3433	33	1	in	in	ADP
ejpam-3433	33	2	section	section	NOUN
ejpam-3433	33	3	2	2	NUM
ejpam-3433	33	4	,	,	PUNCT
ejpam-3433	33	5	we	we	PRON
ejpam-3433	33	6	introduce	introduce	VERB
ejpam-3433	33	7	definition	definition	NOUN
ejpam-3433	33	8	and	and	CCONJ
ejpam-3433	33	9	lemmas	lemma	NOUN
ejpam-3433	33	10	which	which	PRON
ejpam-3433	33	11	are	be	AUX
ejpam-3433	33	12	the	the	DET
ejpam-3433	33	13	key	key	ADJ
ejpam-3433	33	14	tools	tool	NOUN
ejpam-3433	33	15	for	for	ADP
ejpam-3433	33	16	our	our	PRON
ejpam-3433	33	17	main	main	ADJ
ejpam-3433	33	18	result	result	NOUN
ejpam-3433	33	19	.	.	PUNCT
ejpam-3433	34	1	section	section	NOUN
ejpam-3433	34	2	3	3	NUM
ejpam-3433	34	3	focuses	focus	VERB
ejpam-3433	34	4	the	the	DET
ejpam-3433	34	5	theorems	theorem	NOUN
ejpam-3433	34	6	on	on	ADP
ejpam-3433	34	7	the	the	DET
ejpam-3433	34	8	existence	existence	NOUN
ejpam-3433	34	9	and	and	CCONJ
ejpam-3433	34	10	uniqueness	uniqueness	NOUN
ejpam-3433	34	11	of	of	ADP
ejpam-3433	34	12	the	the	DET
ejpam-3433	34	13	solution	solution	NOUN
ejpam-3433	34	14	of	of	ADP
ejpam-3433	34	15	problem	problem	NOUN
ejpam-3433	34	16	(	(	PUNCT
ejpam-3433	34	17	1)-(2	1)-(2	NUM
ejpam-3433	34	18	)	)	PUNCT
ejpam-3433	34	19	established	establish	VERB
ejpam-3433	34	20	under	under	ADP
ejpam-3433	34	21	some	some	DET
ejpam-3433	34	22	sufficient	sufficient	ADJ
ejpam-3433	34	23	conditions	condition	NOUN
ejpam-3433	34	24	on	on	ADP
ejpam-3433	34	25	the	the	DET
ejpam-3433	34	26	nonlinear	nonlinear	ADJ
ejpam-3433	34	27	terms	term	NOUN
ejpam-3433	34	28	.	.	PUNCT
ejpam-3433	35	1	in	in	ADP
ejpam-3433	35	2	section	section	NOUN
ejpam-3433	35	3	4	4	NUM
ejpam-3433	35	4	,	,	PUNCT
ejpam-3433	35	5	the	the	DET
ejpam-3433	35	6	given	give	VERB
ejpam-3433	35	7	examples	example	NOUN
ejpam-3433	35	8	are	be	AUX
ejpam-3433	35	9	verified	verify	VERB
ejpam-3433	35	10	to	to	PART
ejpam-3433	35	11	show	show	VERB
ejpam-3433	35	12	the	the	DET
ejpam-3433	35	13	effectiveness	effectiveness	NOUN
ejpam-3433	35	14	of	of	ADP
ejpam-3433	35	15	the	the	DET
ejpam-3433	35	16	proposed	propose	VERB
ejpam-3433	35	17	method	method	NOUN
ejpam-3433	35	18	.	.	PUNCT
ejpam-3433	36	1	2	2	X
ejpam-3433	36	2	.	.	X
ejpam-3433	36	3	preliminaries	preliminary	NOUN
ejpam-3433	36	4	we	we	PRON
ejpam-3433	36	5	define	define	VERB
ejpam-3433	36	6	the	the	DET
ejpam-3433	36	7	solution	solution	NOUN
ejpam-3433	36	8	of	of	ADP
ejpam-3433	36	9	problem	problem	NOUN
ejpam-3433	36	10	(	(	PUNCT
ejpam-3433	36	11	1)-(2	1)-(2	NUM
ejpam-3433	36	12	)	)	PUNCT
ejpam-3433	36	13	as	as	SCONJ
ejpam-3433	36	14	follows	follow	VERB
ejpam-3433	36	15	:	:	PUNCT
ejpam-3433	36	16	definition	definition	NOUN
ejpam-3433	36	17	1	1	NUM
ejpam-3433	36	18	.	.	PUNCT
ejpam-3433	37	1	a	a	DET
ejpam-3433	37	2	function	function	NOUN
ejpam-3433	37	3	x	x	X
ejpam-3433	37	4	∈	∈	PROPN
ejpam-3433	37	5	c([0	c([0	PROPN
ejpam-3433	37	6	,	,	PUNCT
ejpam-3433	37	7	t	t	X
ejpam-3433	37	8	]	]	PUNCT
ejpam-3433	37	9	,	,	PUNCT
ejpam-3433	37	10	rn	rn	PROPN
ejpam-3433	37	11	)	)	PUNCT
ejpam-3433	37	12	is	be	AUX
ejpam-3433	37	13	said	say	VERB
ejpam-3433	37	14	to	to	PART
ejpam-3433	37	15	be	be	AUX
ejpam-3433	37	16	a	a	DET
ejpam-3433	37	17	solution	solution	NOUN
ejpam-3433	37	18	of	of	ADP
ejpam-3433	37	19	problem	problem	NOUN
ejpam-3433	37	20	(	(	PUNCT
ejpam-3433	37	21	1)-(2	1)-(2	NUM
ejpam-3433	37	22	)	)	PUNCT
ejpam-3433	37	23	if	if	SCONJ
ejpam-3433	37	24	ẋ(t	ẋ(t	NOUN
ejpam-3433	37	25	)	)	PUNCT
ejpam-3433	37	26	=	=	PUNCT
ejpam-3433	38	1	f(t	f(t	NOUN
ejpam-3433	38	2	,	,	PUNCT
ejpam-3433	38	3	x(t	x(t	PROPN
ejpam-3433	38	4	)	)	PUNCT
ejpam-3433	38	5	)	)	PUNCT
ejpam-3433	38	6	for	for	ADP
ejpam-3433	38	7	each	each	DET
ejpam-3433	38	8	t	t	NOUN
ejpam-3433	38	9	∈	∈	PROPN
ejpam-3433	39	1	[	[	X
ejpam-3433	39	2	0	0	NUM
ejpam-3433	39	3	,	,	PUNCT
ejpam-3433	39	4	t	t	X
ejpam-3433	39	5	]	]	PUNCT
ejpam-3433	39	6	,	,	PUNCT
ejpam-3433	39	7	and	and	CCONJ
ejpam-3433	39	8	boundary	boundary	ADJ
ejpam-3433	39	9	conditions	condition	NOUN
ejpam-3433	39	10	(	(	PUNCT
ejpam-3433	39	11	2	2	X
ejpam-3433	39	12	)	)	PUNCT
ejpam-3433	39	13	are	be	AUX
ejpam-3433	39	14	satisfied	satisfied	ADJ
ejpam-3433	39	15	.	.	PUNCT
ejpam-3433	40	1	y.	y.	NOUN
ejpam-3433	40	2	a.	a.	PROPN
ejpam-3433	40	3	sharifov	sharifov	PROPN
ejpam-3433	40	4	et	et	PROPN
ejpam-3433	40	5	al	al	PROPN
ejpam-3433	40	6	.	.	PUNCT
ejpam-3433	40	7	/	/	SYM
ejpam-3433	40	8	eur	eur	PROPN
ejpam-3433	40	9	.	.	PUNCT
ejpam-3433	41	1	j.	j.	PROPN
ejpam-3433	41	2	pure	pure	PROPN
ejpam-3433	41	3	appl	appl	PROPN
ejpam-3433	41	4	.	.	PROPN
ejpam-3433	41	5	math	math	PROPN
ejpam-3433	41	6	,	,	PUNCT
ejpam-3433	41	7	12	12	NUM
ejpam-3433	41	8	(	(	PUNCT
ejpam-3433	41	9	3	3	NUM
ejpam-3433	41	10	)	)	PUNCT
ejpam-3433	41	11	(	(	PUNCT
ejpam-3433	41	12	2019	2019	NUM
ejpam-3433	41	13	)	)	PUNCT
ejpam-3433	41	14	,	,	PUNCT
ejpam-3433	41	15	756	756	NUM
ejpam-3433	41	16	-	-	SYM
ejpam-3433	41	17	770	770	NUM
ejpam-3433	41	18	758	758	NUM
ejpam-3433	41	19	for	for	ADP
ejpam-3433	41	20	the	the	DET
ejpam-3433	41	21	sake	sake	NOUN
ejpam-3433	41	22	of	of	ADP
ejpam-3433	41	23	simplicity	simplicity	NOUN
ejpam-3433	41	24	,	,	PUNCT
ejpam-3433	41	25	we	we	PRON
ejpam-3433	41	26	can	can	AUX
ejpam-3433	41	27	consider	consider	VERB
ejpam-3433	41	28	the	the	DET
ejpam-3433	41	29	following	follow	VERB
ejpam-3433	41	30	problem	problem	NOUN
ejpam-3433	41	31	:	:	PUNCT
ejpam-3433	41	32	ẋ	ẋ	PROPN
ejpam-3433	41	33	=	=	PUNCT
ejpam-3433	41	34	f(t	f(t	PROPN
ejpam-3433	41	35	)	)	PUNCT
ejpam-3433	41	36	,	,	PUNCT
ejpam-3433	41	37	t	t	PROPN
ejpam-3433	41	38	∈	∈	PROPN
ejpam-3433	42	1	[	[	X
ejpam-3433	42	2	0	0	NUM
ejpam-3433	42	3	,	,	PUNCT
ejpam-3433	42	4	t	t	X
ejpam-3433	42	5	]	]	PUNCT
ejpam-3433	42	6	,	,	PUNCT
ejpam-3433	42	7	(	(	PUNCT
ejpam-3433	42	8	3	3	X
ejpam-3433	42	9	)	)	PUNCT
ejpam-3433	42	10	ax(0	ax(0	PROPN
ejpam-3433	42	11	)	)	PUNCT
ejpam-3433	42	12	+	+	NOUN
ejpam-3433	42	13	bx(τ	bx(τ	NUM
ejpam-3433	42	14	)	)	PUNCT
ejpam-3433	43	1	+	+	CCONJ
ejpam-3433	43	2	cx(t	cx(t	NOUN
ejpam-3433	43	3	)	)	PUNCT
ejpam-3433	44	1	+	+	CCONJ
ejpam-3433	44	2	t∫	t∫	DET
ejpam-3433	44	3	0	0	NUM
ejpam-3433	44	4	n(t)x(t)dt	n(t)x(t)dt	ADV
ejpam-3433	44	5	=	=	PROPN
ejpam-3433	44	6	d.	d.	NOUN
ejpam-3433	44	7	(	(	PUNCT
ejpam-3433	44	8	4	4	NUM
ejpam-3433	44	9	)	)	PUNCT
ejpam-3433	44	10	lemma	lemma	PROPN
ejpam-3433	44	11	1	1	X
ejpam-3433	44	12	.	.	PUNCT
ejpam-3433	45	1	let	let	VERB
ejpam-3433	45	2	f(t	f(t	NOUN
ejpam-3433	45	3	)	)	PUNCT
ejpam-3433	45	4	∈	∈	PROPN
ejpam-3433	45	5	c([0	c([0	NOUN
ejpam-3433	45	6	,	,	PUNCT
ejpam-3433	45	7	t	t	X
ejpam-3433	45	8	]	]	PUNCT
ejpam-3433	45	9	,	,	PUNCT
ejpam-3433	45	10	rn).then	rn).then	ADP
ejpam-3433	45	11	the	the	DET
ejpam-3433	45	12	unique	unique	ADJ
ejpam-3433	45	13	solution	solution	NOUN
ejpam-3433	45	14	x(t	x(t	NOUN
ejpam-3433	45	15	)	)	PUNCT
ejpam-3433	45	16	∈	∈	PROPN
ejpam-3433	45	17	c([0	c([0	PROPN
ejpam-3433	45	18	,	,	PUNCT
ejpam-3433	45	19	t	t	X
ejpam-3433	45	20	]	]	PUNCT
ejpam-3433	45	21	,	,	PUNCT
ejpam-3433	45	22	rn	rn	PROPN
ejpam-3433	45	23	)	)	PUNCT
ejpam-3433	45	24	of	of	ADP
ejpam-3433	45	25	the	the	DET
ejpam-3433	45	26	boundary	boundary	ADJ
ejpam-3433	45	27	value	value	NOUN
ejpam-3433	45	28	problem	problem	NOUN
ejpam-3433	45	29	for	for	ADP
ejpam-3433	45	30	differential	differential	ADJ
ejpam-3433	45	31	equation	equation	NOUN
ejpam-3433	45	32	(	(	PUNCT
ejpam-3433	45	33	3	3	NUM
ejpam-3433	45	34	)	)	PUNCT
ejpam-3433	45	35	with	with	ADP
ejpam-3433	45	36	boundary	boundary	ADJ
ejpam-3433	45	37	conditions	condition	NOUN
ejpam-3433	45	38	(	(	PUNCT
ejpam-3433	45	39	4	4	NUM
ejpam-3433	45	40	)	)	PUNCT
ejpam-3433	45	41	is	be	AUX
ejpam-3433	45	42	given	give	VERB
ejpam-3433	45	43	by	by	ADP
ejpam-3433	45	44	x(t	x(t	PROPN
ejpam-3433	45	45	)	)	PUNCT
ejpam-3433	45	46	=	=	SYM
ejpam-3433	46	1	d	d	PROPN
ejpam-3433	46	2	+	+	CCONJ
ejpam-3433	46	3	t∫	t∫	PRON
ejpam-3433	46	4	0	0	NUM
ejpam-3433	46	5	g(t	g(t	PROPN
ejpam-3433	46	6	,	,	PUNCT
ejpam-3433	46	7	s)f(s)ds	s)f(s)ds	PROPN
ejpam-3433	46	8	,	,	PUNCT
ejpam-3433	46	9	(	(	PUNCT
ejpam-3433	46	10	5	5	NUM
ejpam-3433	46	11	)	)	PUNCT
ejpam-3433	46	12	for	for	ADP
ejpam-3433	46	13	t	t	PROPN
ejpam-3433	46	14	∈	∈	PROPN
ejpam-3433	47	1	[	[	X
ejpam-3433	47	2	0	0	NUM
ejpam-3433	47	3	,	,	PUNCT
ejpam-3433	47	4	t	t	NOUN
ejpam-3433	47	5	]	]	PUNCT
ejpam-3433	48	1	where	where	SCONJ
ejpam-3433	48	2	g(t	g(t	PROPN
ejpam-3433	48	3	,	,	PUNCT
ejpam-3433	48	4	s	s	PART
ejpam-3433	48	5	)	)	PUNCT
ejpam-3433	48	6	=	=	SYM
ejpam-3433	48	7	{	{	PUNCT
ejpam-3433	48	8	g1(t	g1(t	PROPN
ejpam-3433	48	9	,	,	PUNCT
ejpam-3433	48	10	s	s	NOUN
ejpam-3433	48	11	)	)	PUNCT
ejpam-3433	48	12	,	,	PUNCT
ejpam-3433	48	13	0	0	NUM
ejpam-3433	48	14	≤	≤	NUM
ejpam-3433	48	15	t	t	PROPN
ejpam-3433	48	16	≤	≤	NUM
ejpam-3433	48	17	τ	τ	X
ejpam-3433	48	18	g2(t	g2(t	PROPN
ejpam-3433	48	19	,	,	PUNCT
ejpam-3433	48	20	s	s	PART
ejpam-3433	48	21	)	)	PUNCT
ejpam-3433	48	22	,	,	PUNCT
ejpam-3433	48	23	τ	τ	PROPN
ejpam-3433	48	24	<	<	X
ejpam-3433	48	25	t	t	X
ejpam-3433	48	26	≤	≤	X
ejpam-3433	48	27	t	t	PROPN
ejpam-3433	48	28	d	d	NOUN
ejpam-3433	48	29	=	=	PRON
ejpam-3433	48	30	n−1d	n−1d	NOUN
ejpam-3433	48	31	with	with	ADP
ejpam-3433	48	32	g1(t	g1(t	ADP
ejpam-3433	48	33	,	,	PUNCT
ejpam-3433	48	34	s	s	PART
ejpam-3433	48	35	)	)	PUNCT
ejpam-3433	48	36	=	=	SYM
ejpam-3433	48	37			NUM
ejpam-3433	48	38	n−1	n−1	PROPN
ejpam-3433	48	39	(	(	PUNCT
ejpam-3433	48	40	a+	a+	X
ejpam-3433	48	41	s∫	s∫	PROPN
ejpam-3433	48	42	0	0	NUM
ejpam-3433	48	43	n(ξ)dξ	n(ξ)dξ	NOUN
ejpam-3433	48	44	)	)	PUNCT
ejpam-3433	48	45	,	,	PUNCT
ejpam-3433	48	46	0	0	NUM
ejpam-3433	48	47	≤	≤	NUM
ejpam-3433	48	48	s	s	PART
ejpam-3433	48	49	≤	≤	NOUN
ejpam-3433	48	50	τ	τ	X
ejpam-3433	48	51	,	,	PUNCT
ejpam-3433	48	52	−n−1	−n−1	NUM
ejpam-3433	48	53	(	(	PUNCT
ejpam-3433	48	54	b	b	NOUN
ejpam-3433	48	55	+	+	CCONJ
ejpam-3433	48	56	c	c	NOUN
ejpam-3433	48	57	+	+	CCONJ
ejpam-3433	48	58	t∫	t∫	PROPN
ejpam-3433	48	59	s	s	X
ejpam-3433	48	60	n(ξ)dξ	n(ξ)dξ	X
ejpam-3433	48	61	)	)	PUNCT
ejpam-3433	48	62	,	,	PUNCT
ejpam-3433	48	63	t	t	X
ejpam-3433	48	64	<	<	X
ejpam-3433	48	65	s	s	PART
ejpam-3433	48	66	≤	≤	PROPN
ejpam-3433	48	67	τ	τ	X
ejpam-3433	48	68	,	,	PUNCT
ejpam-3433	48	69	−n−1	−n−1	NUM
ejpam-3433	48	70	(	(	PUNCT
ejpam-3433	48	71	c	c	X
ejpam-3433	48	72	+	+	PUNCT
ejpam-3433	48	73	t∫	t∫	PROPN
ejpam-3433	48	74	s	s	X
ejpam-3433	48	75	n(ξ)dξ	n(ξ)dξ	X
ejpam-3433	48	76	)	)	PUNCT
ejpam-3433	48	77	,	,	PUNCT
ejpam-3433	48	78	τ	τ	X
ejpam-3433	48	79	<	<	X
ejpam-3433	48	80	s	s	PART
ejpam-3433	48	81	≤	≤	PROPN
ejpam-3433	48	82	t	t	PROPN
ejpam-3433	48	83	,	,	PUNCT
ejpam-3433	48	84	and	and	CCONJ
ejpam-3433	48	85	g2(t	g2(t	PROPN
ejpam-3433	48	86	,	,	PUNCT
ejpam-3433	48	87	s	s	NOUN
ejpam-3433	48	88	)	)	PUNCT
ejpam-3433	48	89	=	=	SYM
ejpam-3433	48	90			NUM
ejpam-3433	48	91	n−1	n−1	PROPN
ejpam-3433	48	92	(	(	PUNCT
ejpam-3433	48	93	a+	a+	X
ejpam-3433	48	94	s∫	s∫	PROPN
ejpam-3433	48	95	0	0	NUM
ejpam-3433	48	96	n(ξ)dξ	n(ξ)dξ	NOUN
ejpam-3433	48	97	)	)	PUNCT
ejpam-3433	48	98	,	,	PUNCT
ejpam-3433	48	99	0	0	NUM
ejpam-3433	48	100	≤	≤	NUM
ejpam-3433	48	101	s	s	PART
ejpam-3433	48	102	≤	≤	NUM
ejpam-3433	48	103	τ	τ	X
ejpam-3433	48	104	,	,	PUNCT
ejpam-3433	48	105	n−1	n−1	PROPN
ejpam-3433	48	106	(	(	PUNCT
ejpam-3433	48	107	a+b	a+b	X
ejpam-3433	48	108	+	+	NUM
ejpam-3433	48	109	s∫	s∫	NOUN
ejpam-3433	48	110	0	0	NUM
ejpam-3433	48	111	n(ξ)dξ	n(ξ)dξ	NOUN
ejpam-3433	48	112	)	)	PUNCT
ejpam-3433	48	113	,	,	PUNCT
ejpam-3433	48	114	τ	τ	X
ejpam-3433	48	115	<	<	X
ejpam-3433	48	116	s	s	PART
ejpam-3433	48	117	≤	≤	PROPN
ejpam-3433	48	118	t	t	PROPN
ejpam-3433	48	119	,	,	PUNCT
ejpam-3433	48	120	−n−1	−n−1	NUM
ejpam-3433	48	121	(	(	PUNCT
ejpam-3433	48	122	c	c	X
ejpam-3433	48	123	+	+	PUNCT
ejpam-3433	48	124	t∫	t∫	PROPN
ejpam-3433	48	125	s	s	X
ejpam-3433	48	126	n(ξ)dξ	n(ξ)dξ	X
ejpam-3433	48	127	)	)	PUNCT
ejpam-3433	48	128	,	,	PUNCT
ejpam-3433	48	129	t	t	X
ejpam-3433	48	130	<	<	X
ejpam-3433	48	131	s	s	PART
ejpam-3433	48	132	≤	≤	PROPN
ejpam-3433	48	133	t	t	NOUN
ejpam-3433	48	134	,	,	PUNCT
ejpam-3433	48	135	proof	proof	NOUN
ejpam-3433	48	136	.	.	PUNCT
ejpam-3433	49	1	assume	assume	VERB
ejpam-3433	49	2	that	that	SCONJ
ejpam-3433	49	3	x(t	x(t	PROPN
ejpam-3433	49	4	)	)	PUNCT
ejpam-3433	49	5	is	be	AUX
ejpam-3433	49	6	a	a	DET
ejpam-3433	49	7	solution	solution	NOUN
ejpam-3433	49	8	of	of	ADP
ejpam-3433	49	9	boundary	boundary	ADJ
ejpam-3433	49	10	value	value	NOUN
ejpam-3433	49	11	problem	problem	NOUN
ejpam-3433	49	12	(	(	PUNCT
ejpam-3433	49	13	1)-(2	1)-(2	NUM
ejpam-3433	49	14	)	)	PUNCT
ejpam-3433	49	15	,	,	PUNCT
ejpam-3433	49	16	then	then	ADV
ejpam-3433	49	17	for	for	ADP
ejpam-3433	49	18	t	t	PROPN
ejpam-3433	49	19	∈	∈	PROPN
ejpam-3433	50	1	[	[	X
ejpam-3433	50	2	0	0	NUM
ejpam-3433	50	3	,	,	PUNCT
ejpam-3433	50	4	t	t	X
ejpam-3433	50	5	]	]	PUNCT
ejpam-3433	50	6	x(t	x(t	PROPN
ejpam-3433	50	7	)	)	PUNCT
ejpam-3433	50	8	=	=	SYM
ejpam-3433	50	9	x(0	x(0	PROPN
ejpam-3433	50	10	)	)	PUNCT
ejpam-3433	50	11	+	+	CCONJ
ejpam-3433	50	12	t∫	t∫	ADJ
ejpam-3433	50	13	0	0	NUM
ejpam-3433	50	14	f(ξ)dξ	f(ξ)dξ	NOUN
ejpam-3433	50	15	.	.	PUNCT
ejpam-3433	51	1	(	(	PUNCT
ejpam-3433	51	2	6	6	NUM
ejpam-3433	51	3	)	)	PUNCT
ejpam-3433	51	4	in	in	ADP
ejpam-3433	51	5	order	order	NOUN
ejpam-3433	51	6	the	the	DET
ejpam-3433	51	7	formula	formula	NOUN
ejpam-3433	51	8	(	(	PUNCT
ejpam-3433	51	9	6	6	NUM
ejpam-3433	51	10	)	)	PUNCT
ejpam-3433	51	11	satisfy	satisfy	NOUN
ejpam-3433	51	12	condition	condition	NOUN
ejpam-3433	51	13	(	(	PUNCT
ejpam-3433	51	14	4	4	NUM
ejpam-3433	51	15	)	)	PUNCT
ejpam-3433	51	16	,	,	PUNCT
ejpam-3433	51	17	we	we	PRON
ejpam-3433	51	18	geta+b	geta+b	X
ejpam-3433	51	19	+	+	PUNCT
ejpam-3433	51	20	c	c	PROPN
ejpam-3433	51	21	+	+	CCONJ
ejpam-3433	51	22	t∫	t∫	PROPN
ejpam-3433	51	23	0	0	NUM
ejpam-3433	51	24	n(t)dt	n(t)dt	NOUN
ejpam-3433	51	25	x(0	x(0	PROPN
ejpam-3433	51	26	)	)	PUNCT
ejpam-3433	51	27	=	=	SYM
ejpam-3433	51	28	d−b	d−b	PROPN
ejpam-3433	51	29	τ∫	τ∫	PROPN
ejpam-3433	51	30	0	0	PROPN
ejpam-3433	51	31	f(ξ)dξ	f(ξ)dξ	NOUN
ejpam-3433	52	1	−	−	PROPN
ejpam-3433	52	2	c	c	NOUN
ejpam-3433	52	3	t∫	t∫	PROPN
ejpam-3433	52	4	0	0	NUM
ejpam-3433	52	5	f(ξ)dξ	f(ξ)dξ	NOUN
ejpam-3433	52	6	−	−	PROPN
ejpam-3433	52	7	t∫	t∫	PROPN
ejpam-3433	52	8	0	0	NUM
ejpam-3433	53	1	n(t	n(t	PROPN
ejpam-3433	53	2	)	)	PUNCT
ejpam-3433	53	3	t∫	t∫	PROPN
ejpam-3433	53	4	0	0	NUM
ejpam-3433	53	5	f(ξ)dξ	f(ξ)dξ	X
ejpam-3433	53	6	(	(	PUNCT
ejpam-3433	53	7	7	7	X
ejpam-3433	53	8	)	)	PUNCT
ejpam-3433	53	9	y.	y.	NOUN
ejpam-3433	53	10	a.	a.	PROPN
ejpam-3433	53	11	sharifov	sharifov	PROPN
ejpam-3433	53	12	et	et	PROPN
ejpam-3433	53	13	al	al	PROPN
ejpam-3433	53	14	.	.	PUNCT
ejpam-3433	53	15	/	/	SYM
ejpam-3433	53	16	eur	eur	PROPN
ejpam-3433	53	17	.	.	PUNCT
ejpam-3433	54	1	j.	j.	PROPN
ejpam-3433	54	2	pure	pure	PROPN
ejpam-3433	54	3	appl	appl	PROPN
ejpam-3433	54	4	.	.	PROPN
ejpam-3433	54	5	math	math	PROPN
ejpam-3433	54	6	,	,	PUNCT
ejpam-3433	54	7	12	12	NUM
ejpam-3433	54	8	(	(	PUNCT
ejpam-3433	54	9	3	3	NUM
ejpam-3433	54	10	)	)	PUNCT
ejpam-3433	54	11	(	(	PUNCT
ejpam-3433	54	12	2019	2019	NUM
ejpam-3433	54	13	)	)	PUNCT
ejpam-3433	54	14	,	,	PUNCT
ejpam-3433	54	15	756	756	NUM
ejpam-3433	54	16	-	-	SYM
ejpam-3433	54	17	770	770	NUM
ejpam-3433	54	18	759	759	NUM
ejpam-3433	54	19	let	let	VERB
ejpam-3433	54	20	us	we	PRON
ejpam-3433	54	21	denote	denote	VERB
ejpam-3433	54	22	n	n	ADV
ejpam-3433	54	23	=	=	PUNCT
ejpam-3433	54	24	a+b+c	a+b+c	PRON
ejpam-3433	55	1	+	+	NUM
ejpam-3433	55	2	∫	∫	PROPN
ejpam-3433	55	3	t	t	PROPN
ejpam-3433	55	4	0	0	NUM
ejpam-3433	55	5	n(t)dt	n(t)dt	NOUN
ejpam-3433	55	6	and	and	CCONJ
ejpam-3433	55	7	from	from	ADP
ejpam-3433	55	8	equality	equality	NOUN
ejpam-3433	55	9	(	(	PUNCT
ejpam-3433	55	10	7	7	X
ejpam-3433	55	11	)	)	PUNCT
ejpam-3433	55	12	we	we	PRON
ejpam-3433	55	13	determine	determine	VERB
ejpam-3433	55	14	x(0	x(0	PROPN
ejpam-3433	55	15	)	)	PUNCT
ejpam-3433	55	16	as	as	SCONJ
ejpam-3433	55	17	follows	follow	VERB
ejpam-3433	55	18	x(0	x(0	PROPN
ejpam-3433	55	19	)	)	PUNCT
ejpam-3433	55	20	=	=	PUNCT
ejpam-3433	56	1	d	d	PROPN
ejpam-3433	56	2	−n−1b	−n−1b	PROPN
ejpam-3433	56	3	τ∫	τ∫	PROPN
ejpam-3433	56	4	0	0	NUM
ejpam-3433	56	5	f(ξ)dξ	f(ξ)dξ	NOUN
ejpam-3433	56	6	−n−1c	−n−1c	NOUN
ejpam-3433	56	7	t∫	t∫	PROPN
ejpam-3433	56	8	0	0	NUM
ejpam-3433	56	9	f(ξ)dξ	f(ξ)dξ	X
ejpam-3433	56	10	−n−1	−n−1	NUM
ejpam-3433	56	11	t∫	t∫	DET
ejpam-3433	56	12	0	0	NUM
ejpam-3433	56	13	n(t	n(t	PROPN
ejpam-3433	56	14	)	)	PUNCT
ejpam-3433	57	1	t∫	t∫	PRON
ejpam-3433	57	2	0	0	NUM
ejpam-3433	57	3	f(ξ)dξdt	f(ξ)dξdt	NOUN
ejpam-3433	57	4	.	.	PUNCT
ejpam-3433	58	1	since	since	SCONJ
ejpam-3433	58	2	equality	equality	NOUN
ejpam-3433	58	3	t∫	t∫	NUM
ejpam-3433	58	4	0	0	NUM
ejpam-3433	58	5	n(t	n(t	PROPN
ejpam-3433	58	6	)	)	PUNCT
ejpam-3433	58	7	∫	∫	PROPN
ejpam-3433	58	8	t	t	NOUN
ejpam-3433	58	9	0	0	NUM
ejpam-3433	58	10	f(ξ)dξdt	f(ξ)dξdt	NOUN
ejpam-3433	58	11	=	=	PUNCT
ejpam-3433	58	12	t∫	t∫	PRON
ejpam-3433	58	13	0	0	NUM
ejpam-3433	58	14	t∫	t∫	PROPN
ejpam-3433	58	15	t	t	PROPN
ejpam-3433	58	16	n	n	CCONJ
ejpam-3433	58	17	(	(	PUNCT
ejpam-3433	58	18	ξ	ξ	NOUN
ejpam-3433	58	19	)	)	PUNCT
ejpam-3433	58	20	dξf	dξf	PROPN
ejpam-3433	58	21	(	(	PUNCT
ejpam-3433	58	22	t	t	PROPN
ejpam-3433	58	23	)	)	PUNCT
ejpam-3433	58	24	dt	dt	NOUN
ejpam-3433	58	25	,	,	PUNCT
ejpam-3433	58	26	is	be	AUX
ejpam-3433	58	27	satisfied	satisfied	ADJ
ejpam-3433	58	28	we	we	PRON
ejpam-3433	58	29	can	can	AUX
ejpam-3433	58	30	rewrite	rewrite	VERB
ejpam-3433	58	31	the	the	DET
ejpam-3433	58	32	above	above	ADJ
ejpam-3433	58	33	equality	equality	NOUN
ejpam-3433	58	34	as	as	ADP
ejpam-3433	58	35	below	below	ADV
ejpam-3433	58	36	:	:	PUNCT
ejpam-3433	58	37	x	x	X
ejpam-3433	58	38	(	(	PUNCT
ejpam-3433	58	39	0	0	NUM
ejpam-3433	58	40	)	)	PUNCT
ejpam-3433	58	41	=	=	SYM
ejpam-3433	59	1	d	d	PROPN
ejpam-3433	59	2	−n−1b	−n−1b	PROPN
ejpam-3433	59	3	τ∫	τ∫	PROPN
ejpam-3433	59	4	0	0	NUM
ejpam-3433	59	5	f(ξ)dξ	f(ξ)dξ	NOUN
ejpam-3433	59	6	−n−1c	−n−1c	NOUN
ejpam-3433	59	7	t∫	t∫	PROPN
ejpam-3433	59	8	0	0	NUM
ejpam-3433	59	9	f(ξ)dξ	f(ξ)dξ	NOUN
ejpam-3433	59	10	−n−1	−n−1	NUM
ejpam-3433	59	11	t∫	t∫	DET
ejpam-3433	59	12	0	0	SYM
ejpam-3433	59	13	t∫	t∫	PROPN
ejpam-3433	59	14	t	t	PROPN
ejpam-3433	59	15	n(ξ)dξf(t)dt	n(ξ)dξf(t)dt	NOUN
ejpam-3433	59	16	.	.	PUNCT
ejpam-3433	60	1	(	(	PUNCT
ejpam-3433	60	2	8)	8)	NUM
ejpam-3433	60	3	now	now	ADV
ejpam-3433	60	4	substituting	substitute	VERB
ejpam-3433	60	5	the	the	DET
ejpam-3433	60	6	value	value	NOUN
ejpam-3433	60	7	x(0	x(0	PROPN
ejpam-3433	60	8	)	)	PUNCT
ejpam-3433	60	9	determined	determine	VERB
ejpam-3433	60	10	from	from	ADP
ejpam-3433	60	11	equality	equality	NOUN
ejpam-3433	60	12	(	(	PUNCT
ejpam-3433	60	13	8)	8)	NUM
ejpam-3433	60	14	into	into	ADP
ejpam-3433	60	15	(	(	PUNCT
ejpam-3433	60	16	6	6	NUM
ejpam-3433	60	17	)	)	PUNCT
ejpam-3433	60	18	,	,	PUNCT
ejpam-3433	60	19	we	we	PRON
ejpam-3433	60	20	obtain	obtain	VERB
ejpam-3433	60	21	x(t	x(t	PROPN
ejpam-3433	60	22	)	)	PUNCT
ejpam-3433	61	1	=	=	SYM
ejpam-3433	61	2	d	d	PROPN
ejpam-3433	61	3	−n−1b	−n−1b	PROPN
ejpam-3433	61	4	τ∫	τ∫	PROPN
ejpam-3433	61	5	0	0	NUM
ejpam-3433	61	6	f(ξ)dξ	f(ξ)dξ	NOUN
ejpam-3433	61	7	−n−1c	−n−1c	NOUN
ejpam-3433	61	8	t∫	t∫	PROPN
ejpam-3433	61	9	0	0	NUM
ejpam-3433	61	10	f(ξ)dξ	f(ξ)dξ	NOUN
ejpam-3433	61	11	−n−1	−n−1	NUM
ejpam-3433	62	1	t∫	t∫	DET
ejpam-3433	62	2	0	0	NUM
ejpam-3433	62	3	t∫	t∫	PROPN
ejpam-3433	62	4	t	t	PROPN
ejpam-3433	62	5	n(ξ)dξf(t)dt+	n(ξ)dξf(t)dt+	PROPN
ejpam-3433	62	6	t∫	t∫	PRON
ejpam-3433	62	7	0	0	NUM
ejpam-3433	62	8	f(ξ)dξ	f(ξ)dξ	NOUN
ejpam-3433	62	9	.	.	PUNCT
ejpam-3433	63	1	(	(	PUNCT
ejpam-3433	63	2	9	9	NUM
ejpam-3433	63	3	)	)	PUNCT
ejpam-3433	63	4	now	now	ADV
ejpam-3433	63	5	consider	consider	VERB
ejpam-3433	63	6	that	that	SCONJ
ejpam-3433	63	7	t	t	PROPN
ejpam-3433	63	8	∈	∈	PROPN
ejpam-3433	64	1	[	[	X
ejpam-3433	64	2	0	0	NUM
ejpam-3433	64	3	,	,	PUNCT
ejpam-3433	64	4	τ	τ	X
ejpam-3433	64	5	]	]	PUNCT
ejpam-3433	64	6	.	.	PUNCT
ejpam-3433	65	1	then	then	ADV
ejpam-3433	65	2	we	we	PRON
ejpam-3433	65	3	can	can	AUX
ejpam-3433	65	4	rewrite	rewrite	VERB
ejpam-3433	65	5	equality	equality	NOUN
ejpam-3433	65	6	(	(	PUNCT
ejpam-3433	65	7	9	9	NUM
ejpam-3433	65	8	)	)	PUNCT
ejpam-3433	65	9	as	as	SCONJ
ejpam-3433	65	10	follows	follow	VERB
ejpam-3433	65	11	:	:	PUNCT
ejpam-3433	65	12	x(t	x(t	PROPN
ejpam-3433	65	13	)	)	PUNCT
ejpam-3433	65	14	=	=	PUNCT
ejpam-3433	66	1	d	d	X
ejpam-3433	66	2	−n−1b	−n−1b	PUNCT
ejpam-3433	66	3	t∫	t∫	NUM
ejpam-3433	66	4	0	0	NUM
ejpam-3433	66	5	f(ξ)dξ	f(ξ)dξ	NOUN
ejpam-3433	66	6	−n−1b	−n−1b	PROPN
ejpam-3433	66	7	τ∫	τ∫	PROPN
ejpam-3433	66	8	t	t	PROPN
ejpam-3433	66	9	f(ξ)dξ	f(ξ)dξ	NOUN
ejpam-3433	66	10	−n−1c	−n−1c	NOUN
ejpam-3433	66	11	t∫	t∫	PROPN
ejpam-3433	66	12	0	0	NUM
ejpam-3433	66	13	f(ξ)dξ	f(ξ)dξ	PROPN
ejpam-3433	66	14	−n−1c	−n−1c	PROPN
ejpam-3433	66	15	τ∫	τ∫	PROPN
ejpam-3433	66	16	t	t	PROPN
ejpam-3433	66	17	f(ξ)dξ	f(ξ)dξ	NOUN
ejpam-3433	66	18	−n−1c	−n−1c	NOUN
ejpam-3433	66	19	t∫	t∫	PROPN
ejpam-3433	66	20	τ	τ	PROPN
ejpam-3433	66	21	f(ξ)dξ	f(ξ)dξ	X
ejpam-3433	66	22	−n−1	−n−1	NUM
ejpam-3433	66	23	t∫	t∫	DET
ejpam-3433	66	24	0	0	NUM
ejpam-3433	66	25	t∫	t∫	PROPN
ejpam-3433	66	26	s	s	VERB
ejpam-3433	66	27	n(ξ)dξf(s)ds	n(ξ)dξf(s)ds	SYM
ejpam-3433	66	28	−n−1	−n−1	NUM
ejpam-3433	66	29	τ∫	τ∫	PROPN
ejpam-3433	66	30	t	t	PROPN
ejpam-3433	66	31	t∫	t∫	PRON
ejpam-3433	66	32	s	s	VERB
ejpam-3433	66	33	n(ξ)dξf(s)ds−n−1	n(ξ)dξf(s)ds−n−1	ADP
ejpam-3433	66	34	t∫	t∫	PROPN
ejpam-3433	66	35	τ	τ	X
ejpam-3433	67	1	t∫	t∫	PROPN
ejpam-3433	67	2	s	s	PART
ejpam-3433	67	3	n(ξ)dξf(s)ds+	n(ξ)dξf(s)ds+	PROPN
ejpam-3433	67	4	t∫	t∫	PRON
ejpam-3433	67	5	0	0	NUM
ejpam-3433	67	6	f(ξ)dξ	f(ξ)dξ	NOUN
ejpam-3433	67	7	.	.	PUNCT
ejpam-3433	68	1	in	in	ADP
ejpam-3433	68	2	the	the	DET
ejpam-3433	68	3	above	above	ADJ
ejpam-3433	68	4	formula	formula	NOUN
ejpam-3433	68	5	,	,	PUNCT
ejpam-3433	68	6	grouping	group	VERB
ejpam-3433	68	7	similar	similar	ADJ
ejpam-3433	68	8	terms	term	NOUN
ejpam-3433	68	9	,	,	PUNCT
ejpam-3433	68	10	and	and	CCONJ
ejpam-3433	68	11	then	then	ADV
ejpam-3433	68	12	simplifying	simplify	VERB
ejpam-3433	68	13	we	we	PRON
ejpam-3433	68	14	get	get	VERB
ejpam-3433	68	15	x(t	x(t	NOUN
ejpam-3433	68	16	)	)	PUNCT
ejpam-3433	69	1	=	=	PUNCT
ejpam-3433	70	1	d	d	PROPN
ejpam-3433	70	2	+	+	CCONJ
ejpam-3433	70	3	t∫	t∫	ADJ
ejpam-3433	70	4	0	0	NUM
ejpam-3433	70	5	e	e	PROPN
ejpam-3433	70	6	−n−1b	−n−1b	PROPN
ejpam-3433	70	7	−n−1c	−n−1c	NOUN
ejpam-3433	70	8	−n−1	−n−1	NUM
ejpam-3433	70	9	t∫	t∫	PROPN
ejpam-3433	70	10	s	s	X
ejpam-3433	70	11	n(ξ)dξ	n(ξ)dξ	X
ejpam-3433	70	12			PROPN
ejpam-3433	70	13	f(s)ds	f(s)ds	PROPN
ejpam-3433	70	14	y.	y.	PROPN
ejpam-3433	70	15	a.	a.	PROPN
ejpam-3433	70	16	sharifov	sharifov	PROPN
ejpam-3433	70	17	et	et	PROPN
ejpam-3433	70	18	al	al	PROPN
ejpam-3433	70	19	.	.	PUNCT
ejpam-3433	70	20	/	/	SYM
ejpam-3433	70	21	eur	eur	PROPN
ejpam-3433	70	22	.	.	PUNCT
ejpam-3433	71	1	j.	j.	PROPN
ejpam-3433	71	2	pure	pure	PROPN
ejpam-3433	71	3	appl	appl	PROPN
ejpam-3433	71	4	.	.	PROPN
ejpam-3433	71	5	math	math	PROPN
ejpam-3433	71	6	,	,	PUNCT
ejpam-3433	71	7	12	12	NUM
ejpam-3433	71	8	(	(	PUNCT
ejpam-3433	71	9	3	3	NUM
ejpam-3433	71	10	)	)	PUNCT
ejpam-3433	71	11	(	(	PUNCT
ejpam-3433	71	12	2019	2019	NUM
ejpam-3433	71	13	)	)	PUNCT
ejpam-3433	71	14	,	,	PUNCT
ejpam-3433	71	15	756	756	NUM
ejpam-3433	71	16	-	-	SYM
ejpam-3433	71	17	770	770	NUM
ejpam-3433	71	18	760	760	NUM
ejpam-3433	71	19	+	+	CCONJ
ejpam-3433	71	20	τ∫	τ∫	PROPN
ejpam-3433	71	21	t	t	PROPN
ejpam-3433	71	22	−n−1b	−n−1b	VERB
ejpam-3433	71	23	−n−1c	−n−1c	NOUN
ejpam-3433	71	24	−n−1	−n−1	NUM
ejpam-3433	71	25	t∫	t∫	PROPN
ejpam-3433	71	26	s	s	X
ejpam-3433	71	27	n(ξ)dξ	n(ξ)dξ	X
ejpam-3433	71	28			PROPN
ejpam-3433	71	29	f(s)ds+	f(s)ds+	PROPN
ejpam-3433	72	1	t∫	t∫	ADJ
ejpam-3433	72	2	τ	τ	X
ejpam-3433	72	3	−n−1c	−n−1c	NOUN
ejpam-3433	72	4	−n−1	−n−1	NUM
ejpam-3433	72	5	t∫	t∫	PROPN
ejpam-3433	72	6	s	s	X
ejpam-3433	72	7	n(ξ)dξ	n(ξ)dξ	X
ejpam-3433	72	8			PROPN
ejpam-3433	72	9	f(s)ds	f(s)ds	PROPN
ejpam-3433	72	10	=	=	SYM
ejpam-3433	72	11	d	d	PROPN
ejpam-3433	72	12	+	+	PUNCT
ejpam-3433	72	13	t∫	t∫	PRON
ejpam-3433	72	14	0	0	NUM
ejpam-3433	72	15	n−1	n−1	PROPN
ejpam-3433	72	16	a+	a+	NOUN
ejpam-3433	72	17	s∫	s∫	NOUN
ejpam-3433	72	18	0	0	NUM
ejpam-3433	72	19	n(ξ)dξ	n(ξ)dξ	NOUN
ejpam-3433	73	1			PROPN
ejpam-3433	73	2	f(s)ds−	f(s)ds−	SYM
ejpam-3433	73	3	τ∫	τ∫	PROPN
ejpam-3433	73	4	t	t	PROPN
ejpam-3433	73	5	n−1	n−1	PROPN
ejpam-3433	73	6	b	b	PROPN
ejpam-3433	73	7	+	+	SYM
ejpam-3433	73	8	c	c	X
ejpam-3433	73	9	+	+	CCONJ
ejpam-3433	73	10	t∫	t∫	PROPN
ejpam-3433	73	11	s	s	X
ejpam-3433	73	12	n(ξ)dξ	n(ξ)dξ	X
ejpam-3433	73	13			PROPN
ejpam-3433	73	14	f(s)ds	f(s)ds	PROPN
ejpam-3433	73	15	−	−	PROPN
ejpam-3433	73	16	t∫	t∫	PROPN
ejpam-3433	73	17	τ	τ	PROPN
ejpam-3433	73	18	n−1	n−1	PROPN
ejpam-3433	73	19	c	c	NOUN
ejpam-3433	73	20	+	+	CCONJ
ejpam-3433	73	21	t∫	t∫	PROPN
ejpam-3433	73	22	s	s	X
ejpam-3433	73	23	n(ξ)dξ	n(ξ)dξ	X
ejpam-3433	73	24			PROPN
ejpam-3433	73	25	f(s)ds	f(s)ds	X
ejpam-3433	73	26	.	.	PUNCT
ejpam-3433	74	1	(	(	PUNCT
ejpam-3433	74	2	10	10	NUM
ejpam-3433	74	3	)	)	PUNCT
ejpam-3433	74	4	let	let	VERB
ejpam-3433	74	5	us	we	PRON
ejpam-3433	74	6	define	define	VERB
ejpam-3433	74	7	the	the	DET
ejpam-3433	74	8	new	new	ADJ
ejpam-3433	74	9	function	function	NOUN
ejpam-3433	74	10	as	as	SCONJ
ejpam-3433	74	11	follows	follow	VERB
ejpam-3433	74	12	:	:	PUNCT
ejpam-3433	75	1	g1(t	g1(t	X
ejpam-3433	75	2	,	,	PUNCT
ejpam-3433	75	3	s	s	PART
ejpam-3433	75	4	)	)	PUNCT
ejpam-3433	75	5	=	=	SYM
ejpam-3433	75	6			NUM
ejpam-3433	75	7	n−1	n−1	PROPN
ejpam-3433	75	8	(	(	PUNCT
ejpam-3433	75	9	a+	a+	X
ejpam-3433	75	10	s∫	s∫	PROPN
ejpam-3433	75	11	0	0	NUM
ejpam-3433	75	12	n(ξ)dξ	n(ξ)dξ	NOUN
ejpam-3433	75	13	)	)	PUNCT
ejpam-3433	75	14	,	,	PUNCT
ejpam-3433	76	1	0	0	NUM
ejpam-3433	76	2	≤	≤	NUM
ejpam-3433	76	3	s	s	PART
ejpam-3433	76	4	≤	≤	NUM
ejpam-3433	76	5	t	t	PROPN
ejpam-3433	76	6	,	,	PUNCT
ejpam-3433	76	7	−n−1	−n−1	NUM
ejpam-3433	76	8	(	(	PUNCT
ejpam-3433	76	9	b	b	NOUN
ejpam-3433	76	10	+	+	CCONJ
ejpam-3433	76	11	c	c	NOUN
ejpam-3433	76	12	+	+	CCONJ
ejpam-3433	76	13	t∫	t∫	PROPN
ejpam-3433	76	14	s	s	X
ejpam-3433	76	15	n(ξ)dξ	n(ξ)dξ	X
ejpam-3433	76	16	)	)	PUNCT
ejpam-3433	76	17	,	,	PUNCT
ejpam-3433	76	18	t	t	X
ejpam-3433	76	19	<	<	X
ejpam-3433	76	20	s	s	PART
ejpam-3433	76	21	≤	≤	PROPN
ejpam-3433	76	22	τ	τ	X
ejpam-3433	76	23	,	,	PUNCT
ejpam-3433	76	24	−n−1	−n−1	NUM
ejpam-3433	76	25	(	(	PUNCT
ejpam-3433	76	26	c	c	X
ejpam-3433	76	27	+	+	PUNCT
ejpam-3433	76	28	t∫	t∫	PROPN
ejpam-3433	76	29	s	s	X
ejpam-3433	76	30	n(ξ)dξ	n(ξ)dξ	X
ejpam-3433	76	31	)	)	PUNCT
ejpam-3433	76	32	,	,	PUNCT
ejpam-3433	76	33	τ	τ	X
ejpam-3433	76	34	<	<	X
ejpam-3433	76	35	s	s	X
ejpam-3433	76	36	≤	≤	NOUN
ejpam-3433	76	37	t.	t.	NOUN
ejpam-3433	76	38	using	use	VERB
ejpam-3433	76	39	above	above	ADP
ejpam-3433	76	40	equality	equality	NOUN
ejpam-3433	76	41	as	as	ADP
ejpam-3433	76	42	in	in	ADP
ejpam-3433	76	43	(	(	PUNCT
ejpam-3433	76	44	10	10	NUM
ejpam-3433	76	45	)	)	PUNCT
ejpam-3433	76	46	we	we	PRON
ejpam-3433	76	47	obtain	obtain	VERB
ejpam-3433	76	48	the	the	DET
ejpam-3433	76	49	following	follow	VERB
ejpam-3433	76	50	result	result	VERB
ejpam-3433	76	51	x(t	x(t	PROPN
ejpam-3433	76	52	)	)	PUNCT
ejpam-3433	77	1	=	=	PUNCT
ejpam-3433	78	1	d	d	PROPN
ejpam-3433	78	2	+	+	NUM
ejpam-3433	78	3	∫	∫	PROPN
ejpam-3433	78	4	t	t	PROPN
ejpam-3433	78	5	0	0	NUM
ejpam-3433	78	6	g1(t	g1(t	PROPN
ejpam-3433	78	7	,	,	PUNCT
ejpam-3433	78	8	s)f(s)ds	s)f(s)ds	PROPN
ejpam-3433	78	9	.	.	PUNCT
ejpam-3433	79	1	for	for	ADP
ejpam-3433	79	2	the	the	DET
ejpam-3433	79	3	case	case	NOUN
ejpam-3433	79	4	,	,	PUNCT
ejpam-3433	79	5	t	t	PROPN
ejpam-3433	79	6	∈	∈	PROPN
ejpam-3433	79	7	(	(	PUNCT
ejpam-3433	79	8	τ	τ	PROPN
ejpam-3433	79	9	,	,	PUNCT
ejpam-3433	79	10	t	t	X
ejpam-3433	79	11	]	]	PUNCT
ejpam-3433	79	12	we	we	PRON
ejpam-3433	79	13	can	can	AUX
ejpam-3433	79	14	write	write	VERB
ejpam-3433	79	15	equality	equality	NOUN
ejpam-3433	79	16	(	(	PUNCT
ejpam-3433	79	17	9	9	NUM
ejpam-3433	79	18	)	)	PUNCT
ejpam-3433	79	19	as	as	SCONJ
ejpam-3433	79	20	follows	follow	VERB
ejpam-3433	79	21	x(t	x(t	PROPN
ejpam-3433	79	22	)	)	PUNCT
ejpam-3433	79	23	=	=	SYM
ejpam-3433	80	1	d	d	PROPN
ejpam-3433	80	2	−n−1b	−n−1b	PROPN
ejpam-3433	80	3	τ∫	τ∫	PROPN
ejpam-3433	80	4	0	0	PROPN
ejpam-3433	80	5	f(ξ)dξ	f(ξ)dξ	PROPN
ejpam-3433	80	6	−n−1c	−n−1c	PROPN
ejpam-3433	80	7	τ∫	τ∫	PROPN
ejpam-3433	80	8	0	0	PROPN
ejpam-3433	80	9	f(ξ)dξ	f(ξ)dξ	PROPN
ejpam-3433	80	10	−n−1c	−n−1c	PROPN
ejpam-3433	80	11	∫	∫	PROPN
ejpam-3433	80	12	t	t	PROPN
ejpam-3433	80	13	τ	τ	PROPN
ejpam-3433	80	14	f(ξ)dξ	f(ξ)dξ	PROPN
ejpam-3433	80	15	−n−1c	−n−1c	PROPN
ejpam-3433	80	16	t∫	t∫	PROPN
ejpam-3433	80	17	t	t	PROPN
ejpam-3433	80	18	f(ξ)dξ	f(ξ)dξ	VERB
ejpam-3433	80	19	−n−1	−n−1	NUM
ejpam-3433	80	20	τ∫	τ∫	PROPN
ejpam-3433	80	21	0	0	NUM
ejpam-3433	80	22	∫	∫	PROPN
ejpam-3433	81	1	t	t	PROPN
ejpam-3433	81	2	t	t	PROPN
ejpam-3433	81	3	n(ξ)dξf(s)ds−n−1	n(ξ)dξf(s)ds−n−1	PROPN
ejpam-3433	81	4	t∫	t∫	PROPN
ejpam-3433	81	5	τ	τ	PROPN
ejpam-3433	81	6	∫	∫	PROPN
ejpam-3433	81	7	t	t	PROPN
ejpam-3433	81	8	t	t	PROPN
ejpam-3433	81	9	n(ξ)dξf(s)ds	n(ξ)dξf(s)ds	PROPN
ejpam-3433	81	10	−n−1	−n−1	NUM
ejpam-3433	81	11	t∫	t∫	PROPN
ejpam-3433	81	12	t	t	NOUN
ejpam-3433	82	1	t∫	t∫	PROPN
ejpam-3433	82	2	s	s	PART
ejpam-3433	82	3	n(ξ)dξf(s)ds+	n(ξ)dξf(s)ds+	PROPN
ejpam-3433	82	4	τ∫	τ∫	PROPN
ejpam-3433	82	5	0	0	NUM
ejpam-3433	82	6	f	f	PROPN
ejpam-3433	82	7	(	(	PUNCT
ejpam-3433	82	8	ξ	ξ	PROPN
ejpam-3433	82	9	)	)	PUNCT
ejpam-3433	82	10	dξ	dξ	PROPN
ejpam-3433	83	1	+	+	CCONJ
ejpam-3433	83	2	t∫	t∫	ADJ
ejpam-3433	83	3	τ	τ	X
ejpam-3433	83	4	f	f	PROPN
ejpam-3433	83	5	(	(	PUNCT
ejpam-3433	83	6	ξ	ξ	PROPN
ejpam-3433	83	7	)	)	PUNCT
ejpam-3433	83	8	dξ	dξ	PROPN
ejpam-3433	84	1	=	=	PUNCT
ejpam-3433	84	2	d	d	PROPN
ejpam-3433	84	3	+	+	CCONJ
ejpam-3433	84	4	τ∫	τ∫	PROPN
ejpam-3433	84	5	0	0	PROPN
ejpam-3433	84	6	e	e	PROPN
ejpam-3433	84	7	−n−1b	−n−1b	PROPN
ejpam-3433	84	8	−n−1c	−n−1c	NOUN
ejpam-3433	84	9	−n−1	−n−1	NUM
ejpam-3433	84	10	t∫	t∫	PROPN
ejpam-3433	84	11	s	s	PART
ejpam-3433	84	12	n(ξ)dξ	n(ξ)dξ	NOUN
ejpam-3433	84	13	)	)	PUNCT
ejpam-3433	84	14			PROPN
ejpam-3433	84	15	f(s)ds	f(s)d	NOUN
ejpam-3433	84	16	+	+	NOUN
ejpam-3433	84	17	t∫	t∫	ADJ
ejpam-3433	84	18	τ	τ	PROPN
ejpam-3433	84	19	e	e	PROPN
ejpam-3433	84	20	−n−1c	−n−1c	NOUN
ejpam-3433	84	21	−n−1	−n−1	NUM
ejpam-3433	84	22	t∫	t∫	PROPN
ejpam-3433	84	23	s	s	X
ejpam-3433	84	24	n(ξ)dξ	n(ξ)dξ	X
ejpam-3433	84	25			PROPN
ejpam-3433	84	26	f(s)ds+	f(s)ds+	PROPN
ejpam-3433	84	27	t∫	t∫	PROPN
ejpam-3433	84	28	t	t	PROPN
ejpam-3433	84	29	−n−1c	−n−1c	NOUN
ejpam-3433	84	30	−n−1	−n−1	NUM
ejpam-3433	84	31	t∫	t∫	PROPN
ejpam-3433	84	32	s	s	X
ejpam-3433	84	33	n(ξ)dξ	n(ξ)dξ	X
ejpam-3433	84	34			PROPN
ejpam-3433	84	35	f(s)ds	f(s)ds	PROPN
ejpam-3433	84	36	y.	y.	PROPN
ejpam-3433	84	37	a.	a.	PROPN
ejpam-3433	84	38	sharifov	sharifov	PROPN
ejpam-3433	84	39	et	et	PROPN
ejpam-3433	84	40	al	al	PROPN
ejpam-3433	84	41	.	.	PUNCT
ejpam-3433	84	42	/	/	SYM
ejpam-3433	84	43	eur	eur	PROPN
ejpam-3433	84	44	.	.	PUNCT
ejpam-3433	85	1	j.	j.	PROPN
ejpam-3433	85	2	pure	pure	PROPN
ejpam-3433	85	3	appl	appl	PROPN
ejpam-3433	85	4	.	.	PROPN
ejpam-3433	85	5	math	math	PROPN
ejpam-3433	85	6	,	,	PUNCT
ejpam-3433	85	7	12	12	NUM
ejpam-3433	85	8	(	(	PUNCT
ejpam-3433	85	9	3	3	NUM
ejpam-3433	85	10	)	)	PUNCT
ejpam-3433	85	11	(	(	PUNCT
ejpam-3433	85	12	2019	2019	NUM
ejpam-3433	85	13	)	)	PUNCT
ejpam-3433	85	14	,	,	PUNCT
ejpam-3433	86	1	756	756	NUM
ejpam-3433	86	2	-	-	SYM
ejpam-3433	86	3	770	770	NUM
ejpam-3433	86	4	761	761	NUM
ejpam-3433	86	5	=	=	SYM
ejpam-3433	86	6	d	d	PROPN
ejpam-3433	86	7	+	+	CCONJ
ejpam-3433	86	8	τ∫	τ∫	PROPN
ejpam-3433	86	9	0	0	NUM
ejpam-3433	87	1	n−1	n−1	PROPN
ejpam-3433	87	2	a+	a+	PROPN
ejpam-3433	87	3	s∫	s∫	NOUN
ejpam-3433	87	4	0	0	NUM
ejpam-3433	87	5	n(ξ)dξ	n(ξ)dξ	NOUN
ejpam-3433	87	6			PROPN
ejpam-3433	87	7	f(s)ds+	f(s)ds+	PROPN
ejpam-3433	87	8	t∫	t∫	NOUN
ejpam-3433	87	9	τ	τ	PROPN
ejpam-3433	87	10	n−1	n−1	PROPN
ejpam-3433	87	11	a+b	a+b	PROPN
ejpam-3433	87	12	+	+	CCONJ
ejpam-3433	87	13	s∫	s∫	PROPN
ejpam-3433	87	14	0	0	NUM
ejpam-3433	87	15	n(ξ)dξ	n(ξ)dξ	NOUN
ejpam-3433	88	1			PROPN
ejpam-3433	88	2	f(s)ds	f(s)ds	PROPN
ejpam-3433	88	3	−	−	PROPN
ejpam-3433	88	4	t∫	t∫	PROPN
ejpam-3433	88	5	t	t	NOUN
ejpam-3433	88	6	n−1	n−1	PROPN
ejpam-3433	88	7	c	c	NOUN
ejpam-3433	88	8	+	+	CCONJ
ejpam-3433	88	9	t∫	t∫	PROPN
ejpam-3433	88	10	s	s	X
ejpam-3433	88	11	n(ξ)dξ	n(ξ)dξ	X
ejpam-3433	88	12			PROPN
ejpam-3433	88	13	f(s)ds	f(s)ds	PROPN
ejpam-3433	88	14	hence	hence	ADV
ejpam-3433	88	15	,	,	PUNCT
ejpam-3433	88	16	we	we	PRON
ejpam-3433	88	17	introduce	introduce	VERB
ejpam-3433	88	18	the	the	DET
ejpam-3433	88	19	new	new	ADJ
ejpam-3433	88	20	function	function	NOUN
ejpam-3433	88	21	g2(t	g2(t	PROPN
ejpam-3433	88	22	,	,	PUNCT
ejpam-3433	88	23	s	s	PART
ejpam-3433	88	24	)	)	PUNCT
ejpam-3433	88	25	=	=	SYM
ejpam-3433	88	26			NUM
ejpam-3433	88	27	n−1	n−1	PROPN
ejpam-3433	88	28	(	(	PUNCT
ejpam-3433	88	29	a+	a+	X
ejpam-3433	88	30	s∫	s∫	PROPN
ejpam-3433	88	31	0	0	NUM
ejpam-3433	88	32	n(ξ)dξ	n(ξ)dξ	NOUN
ejpam-3433	88	33	)	)	PUNCT
ejpam-3433	88	34	,	,	PUNCT
ejpam-3433	89	1	0	0	NUM
ejpam-3433	89	2	≤	≤	NUM
ejpam-3433	89	3	s	s	PART
ejpam-3433	89	4	≤	≤	NUM
ejpam-3433	89	5	τ	τ	X
ejpam-3433	89	6	,	,	PUNCT
ejpam-3433	89	7	n−1	n−1	PROPN
ejpam-3433	89	8	(	(	PUNCT
ejpam-3433	89	9	a+b	a+b	X
ejpam-3433	89	10	+	+	NUM
ejpam-3433	89	11	s∫	s∫	NOUN
ejpam-3433	89	12	0	0	NUM
ejpam-3433	89	13	n(ξ)dξ	n(ξ)dξ	NOUN
ejpam-3433	89	14	)	)	PUNCT
ejpam-3433	89	15	,	,	PUNCT
ejpam-3433	89	16	τ	τ	X
ejpam-3433	89	17	<	<	X
ejpam-3433	89	18	s	s	PART
ejpam-3433	89	19	≤	≤	PROPN
ejpam-3433	89	20	t	t	PROPN
ejpam-3433	89	21	,	,	PUNCT
ejpam-3433	89	22	−n−1	−n−1	NUM
ejpam-3433	89	23	(	(	PUNCT
ejpam-3433	89	24	c	c	X
ejpam-3433	89	25	+	+	PUNCT
ejpam-3433	89	26	t∫	t∫	PROPN
ejpam-3433	89	27	s	s	X
ejpam-3433	89	28	n(ξ)dξ	n(ξ)dξ	X
ejpam-3433	89	29	)	)	PUNCT
ejpam-3433	89	30	,	,	PUNCT
ejpam-3433	89	31	t	t	X
ejpam-3433	89	32	<	<	X
ejpam-3433	89	33	s	s	PART
ejpam-3433	89	34	≤	≤	NOUN
ejpam-3433	89	35	t.	t.	NOUN
ejpam-3433	89	36	thus	thus	ADV
ejpam-3433	89	37	,	,	PUNCT
ejpam-3433	89	38	for	for	ADP
ejpam-3433	89	39	each	each	DET
ejpam-3433	89	40	t	t	NOUN
ejpam-3433	89	41	∈	∈	PROPN
ejpam-3433	89	42	(	(	PUNCT
ejpam-3433	89	43	τ	τ	PROPN
ejpam-3433	89	44	,	,	PUNCT
ejpam-3433	89	45	t	t	X
ejpam-3433	89	46	]	]	PUNCT
ejpam-3433	89	47	we	we	PRON
ejpam-3433	89	48	have	have	VERB
ejpam-3433	89	49	x(t	x(t	PROPN
ejpam-3433	89	50	)	)	PUNCT
ejpam-3433	89	51	=	=	PUNCT
ejpam-3433	90	1	d+	d+	PUNCT
ejpam-3433	90	2	t∫	t∫	ADJ
ejpam-3433	90	3	0	0	NUM
ejpam-3433	90	4	g2(t	g2(t	PROPN
ejpam-3433	90	5	,	,	PUNCT
ejpam-3433	90	6	s)f(s)ds	s)f(s)ds	NOUN
ejpam-3433	90	7	.	.	PUNCT
ejpam-3433	91	1	as	as	ADP
ejpam-3433	91	2	a	a	DET
ejpam-3433	91	3	result	result	NOUN
ejpam-3433	91	4	,	,	PUNCT
ejpam-3433	91	5	we	we	PRON
ejpam-3433	91	6	deduce	deduce	VERB
ejpam-3433	91	7	that	that	SCONJ
ejpam-3433	91	8	the	the	DET
ejpam-3433	91	9	solution	solution	NOUN
ejpam-3433	91	10	of	of	ADP
ejpam-3433	91	11	boundary	boundary	ADJ
ejpam-3433	91	12	-	-	PUNCT
ejpam-3433	91	13	value	value	NOUN
ejpam-3433	91	14	problem	problem	NOUN
ejpam-3433	91	15	(	(	PUNCT
ejpam-3433	91	16	3)-(4	3)-(4	NUM
ejpam-3433	91	17	)	)	PUNCT
ejpam-3433	91	18	is	be	AUX
ejpam-3433	91	19	in	in	ADP
ejpam-3433	91	20	the	the	DET
ejpam-3433	91	21	form	form	NOUN
ejpam-3433	91	22	x(t	x(t	PROPN
ejpam-3433	91	23	)	)	PUNCT
ejpam-3433	91	24	=	=	PUNCT
ejpam-3433	92	1	d	d	PROPN
ejpam-3433	92	2	+	+	CCONJ
ejpam-3433	92	3	t∫	t∫	PRON
ejpam-3433	92	4	0	0	NUM
ejpam-3433	92	5	g(t	g(t	PROPN
ejpam-3433	92	6	,	,	PUNCT
ejpam-3433	92	7	s)f(s)ds	s)f(s)ds	PROPN
ejpam-3433	92	8	.	.	PUNCT
ejpam-3433	93	1	(	(	PUNCT
ejpam-3433	93	2	11	11	NUM
ejpam-3433	93	3	)	)	PUNCT
ejpam-3433	93	4	the	the	DET
ejpam-3433	93	5	proof	proof	NOUN
ejpam-3433	93	6	is	be	AUX
ejpam-3433	93	7	completed	complete	VERB
ejpam-3433	93	8	.	.	PUNCT
ejpam-3433	94	1	the	the	DET
ejpam-3433	94	2	following	follow	VERB
ejpam-3433	94	3	remark	remark	NOUN
ejpam-3433	94	4	follows	follow	VERB
ejpam-3433	94	5	from	from	ADP
ejpam-3433	94	6	the	the	DET
ejpam-3433	94	7	proved	prove	VERB
ejpam-3433	94	8	lemma	lemma	PROPN
ejpam-3433	94	9	.	.	PUNCT
ejpam-3433	94	10	remark	remark	PROPN
ejpam-3433	94	11	1	1	NUM
ejpam-3433	94	12	.	.	PUNCT
ejpam-3433	94	13	from	from	ADP
ejpam-3433	94	14	solution	solution	NOUN
ejpam-3433	94	15	(	(	PUNCT
ejpam-3433	94	16	11	11	NUM
ejpam-3433	94	17	)	)	PUNCT
ejpam-3433	94	18	we	we	PRON
ejpam-3433	94	19	get	get	VERB
ejpam-3433	94	20	:	:	PUNCT
ejpam-3433	94	21	(	(	PUNCT
ejpam-3433	94	22	i	i	NOUN
ejpam-3433	94	23	)	)	PUNCT
ejpam-3433	94	24	the	the	DET
ejpam-3433	94	25	constant	constant	ADJ
ejpam-3433	94	26	function	function	NOUN
ejpam-3433	94	27	x(t	x(t	PROPN
ejpam-3433	94	28	)	)	PUNCT
ejpam-3433	95	1	=	=	PUNCT
ejpam-3433	96	1	d	d	NOUN
ejpam-3433	96	2	is	be	AUX
ejpam-3433	96	3	a	a	DET
ejpam-3433	96	4	solution	solution	NOUN
ejpam-3433	96	5	to	to	ADP
ejpam-3433	96	6	the	the	DET
ejpam-3433	96	7	following	follow	VERB
ejpam-3433	96	8	boundary	boundary	ADJ
ejpam-3433	96	9	value	value	NOUN
ejpam-3433	96	10	problem	problem	NOUN
ejpam-3433	96	11	:	:	PUNCT
ejpam-3433	96	12	ẋ	ẋ	PROPN
ejpam-3433	97	1	=	=	SYM
ejpam-3433	97	2	0	0	PROPN
ejpam-3433	97	3	,	,	PUNCT
ejpam-3433	97	4	t	t	PROPN
ejpam-3433	97	5	∈	∈	PROPN
ejpam-3433	98	1	[	[	X
ejpam-3433	98	2	0	0	NUM
ejpam-3433	98	3	,	,	PUNCT
ejpam-3433	98	4	t	t	X
ejpam-3433	98	5	]	]	PUNCT
ejpam-3433	98	6	,	,	PUNCT
ejpam-3433	98	7	ax(0	ax(0	PROPN
ejpam-3433	98	8	)	)	PUNCT
ejpam-3433	98	9	+	+	NOUN
ejpam-3433	98	10	bx(τ	bx(τ	NUM
ejpam-3433	98	11	)	)	PUNCT
ejpam-3433	98	12	+	+	CCONJ
ejpam-3433	98	13	cx(t	cx(t	NOUN
ejpam-3433	98	14	)	)	PUNCT
ejpam-3433	99	1	+	+	CCONJ
ejpam-3433	99	2	t∫	t∫	PRON
ejpam-3433	99	3	0	0	NUM
ejpam-3433	99	4	n(t)x(t)dt	n(t)x(t)dt	ADV
ejpam-3433	99	5	=	=	SYM
ejpam-3433	99	6	d	d	NOUN
ejpam-3433	99	7	;	;	PUNCT
ejpam-3433	99	8	(	(	PUNCT
ejpam-3433	99	9	ii	ii	NOUN
ejpam-3433	99	10	)	)	PUNCT
ejpam-3433	99	11	the	the	DET
ejpam-3433	99	12	function	function	NOUN
ejpam-3433	99	13	x(t	x(t	PROPN
ejpam-3433	99	14	)	)	PUNCT
ejpam-3433	99	15	=	=	PUNCT
ejpam-3433	100	1	t∫	t∫	NOUN
ejpam-3433	100	2	0	0	NUM
ejpam-3433	100	3	g(t	g(t	PROPN
ejpam-3433	100	4	,	,	PUNCT
ejpam-3433	100	5	s)f(s)ds	s)f(s)ds	PROPN
ejpam-3433	100	6	is	be	AUX
ejpam-3433	100	7	the	the	DET
ejpam-3433	100	8	solution	solution	NOUN
ejpam-3433	100	9	of	of	ADP
ejpam-3433	100	10	ẋ	ẋ	PROPN
ejpam-3433	101	1	=	=	SYM
ejpam-3433	101	2	f	f	PROPN
ejpam-3433	101	3	(	(	PUNCT
ejpam-3433	101	4	t	t	PROPN
ejpam-3433	101	5	)	)	PUNCT
ejpam-3433	101	6	,	,	PUNCT
ejpam-3433	101	7	t	t	PROPN
ejpam-3433	101	8	∈	∈	PROPN
ejpam-3433	102	1	[	[	X
ejpam-3433	102	2	0	0	NUM
ejpam-3433	102	3	,	,	PUNCT
ejpam-3433	102	4	t	t	X
ejpam-3433	102	5	]	]	PUNCT
ejpam-3433	102	6	with	with	ADP
ejpam-3433	102	7	the	the	DET
ejpam-3433	102	8	following	following	ADJ
ejpam-3433	102	9	boundary	boundary	ADJ
ejpam-3433	102	10	conditions	condition	NOUN
ejpam-3433	102	11	:	:	PUNCT
ejpam-3433	102	12	ax(0	ax(0	PROPN
ejpam-3433	102	13	)	)	PUNCT
ejpam-3433	102	14	+	+	NOUN
ejpam-3433	102	15	bx(τ	bx(τ	NUM
ejpam-3433	102	16	)	)	PUNCT
ejpam-3433	102	17	+	+	CCONJ
ejpam-3433	102	18	cx(t	cx(t	NOUN
ejpam-3433	102	19	)	)	PUNCT
ejpam-3433	103	1	+	+	CCONJ
ejpam-3433	104	1	t∫	t∫	PRON
ejpam-3433	104	2	0	0	NUM
ejpam-3433	104	3	n(t)x(t)dt	n(t)x(t)dt	ADV
ejpam-3433	104	4	=	=	NOUN
ejpam-3433	104	5	0	0	NUM
ejpam-3433	104	6	,	,	PUNCT
ejpam-3433	104	7	y.	y.	NOUN
ejpam-3433	104	8	a.	a.	PROPN
ejpam-3433	104	9	sharifov	sharifov	PROPN
ejpam-3433	104	10	et	et	PROPN
ejpam-3433	104	11	al	al	PROPN
ejpam-3433	104	12	.	.	PUNCT
ejpam-3433	104	13	/	/	SYM
ejpam-3433	104	14	eur	eur	PROPN
ejpam-3433	104	15	.	.	PUNCT
ejpam-3433	105	1	j.	j.	PROPN
ejpam-3433	105	2	pure	pure	PROPN
ejpam-3433	105	3	appl	appl	PROPN
ejpam-3433	105	4	.	.	PROPN
ejpam-3433	105	5	math	math	PROPN
ejpam-3433	105	6	,	,	PUNCT
ejpam-3433	105	7	12	12	NUM
ejpam-3433	105	8	(	(	PUNCT
ejpam-3433	105	9	3	3	NUM
ejpam-3433	105	10	)	)	PUNCT
ejpam-3433	105	11	(	(	PUNCT
ejpam-3433	105	12	2019	2019	NUM
ejpam-3433	105	13	)	)	PUNCT
ejpam-3433	105	14	,	,	PUNCT
ejpam-3433	105	15	756	756	NUM
ejpam-3433	105	16	-	-	SYM
ejpam-3433	105	17	770	770	NUM
ejpam-3433	105	18	762	762	NUM
ejpam-3433	105	19	here	here	ADV
ejpam-3433	105	20	g(t	g(t	PROPN
ejpam-3433	105	21	,	,	PUNCT
ejpam-3433	105	22	s)is	s)is	PROPN
ejpam-3433	105	23	the	the	DET
ejpam-3433	105	24	green	green	ADJ
ejpam-3433	105	25	function	function	NOUN
ejpam-3433	105	26	of	of	ADP
ejpam-3433	105	27	the	the	DET
ejpam-3433	105	28	boundary	boundary	ADJ
ejpam-3433	105	29	value	value	NOUN
ejpam-3433	105	30	problem	problem	NOUN
ejpam-3433	105	31	(	(	PUNCT
ejpam-3433	105	32	3)-(4	3)-(4	NUM
ejpam-3433	105	33	)	)	PUNCT
ejpam-3433	105	34	.	.	PUNCT
ejpam-3433	106	1	lemma	lemma	PROPN
ejpam-3433	106	2	2	2	X
ejpam-3433	106	3	.	.	PROPN
ejpam-3433	106	4	assume	assume	VERB
ejpam-3433	106	5	that	that	SCONJ
ejpam-3433	106	6	f	f	PROPN
ejpam-3433	106	7	∈	∈	PROPN
ejpam-3433	106	8	c([0	c([0	PROPN
ejpam-3433	106	9	,	,	PUNCT
ejpam-3433	106	10	t	t	PROPN
ejpam-3433	106	11	]	]	PUNCT
ejpam-3433	106	12	×	×	PROPN
ejpam-3433	106	13	rn	rn	PROPN
ejpam-3433	106	14	,	,	PUNCT
ejpam-3433	106	15	rn).then	rn).then	ADP
ejpam-3433	106	16	the	the	DET
ejpam-3433	106	17	function	function	NOUN
ejpam-3433	106	18	x(t	x(t	PROPN
ejpam-3433	106	19	)	)	PUNCT
ejpam-3433	106	20	is	be	AUX
ejpam-3433	106	21	a	a	DET
ejpam-3433	106	22	solution	solution	NOUN
ejpam-3433	106	23	of	of	ADP
ejpam-3433	106	24	the	the	DET
ejpam-3433	106	25	boundary	boundary	ADJ
ejpam-3433	106	26	-	-	PUNCT
ejpam-3433	106	27	value	value	NOUN
ejpam-3433	106	28	problem	problem	NOUN
ejpam-3433	106	29	(	(	PUNCT
ejpam-3433	106	30	1)-(2	1)-(2	NUM
ejpam-3433	106	31	)	)	PUNCT
ejpam-3433	107	1	if	if	SCONJ
ejpam-3433	107	2	and	and	CCONJ
ejpam-3433	107	3	only	only	ADV
ejpam-3433	107	4	if	if	SCONJ
ejpam-3433	107	5	x(t	x(t	PROPN
ejpam-3433	107	6	)	)	PUNCT
ejpam-3433	107	7	is	be	AUX
ejpam-3433	107	8	a	a	DET
ejpam-3433	107	9	solution	solution	NOUN
ejpam-3433	107	10	of	of	ADP
ejpam-3433	107	11	the	the	DET
ejpam-3433	107	12	integral	integral	ADJ
ejpam-3433	107	13	equation	equation	NOUN
ejpam-3433	107	14	x(t	x(t	PROPN
ejpam-3433	107	15	)	)	PUNCT
ejpam-3433	108	1	=	=	PUNCT
ejpam-3433	109	1	d	d	PROPN
ejpam-3433	109	2	+	+	CCONJ
ejpam-3433	109	3	t∫	t∫	PRON
ejpam-3433	109	4	0	0	NUM
ejpam-3433	109	5	g(t	g(t	PROPN
ejpam-3433	109	6	,	,	PUNCT
ejpam-3433	109	7	s)f(s	s)f(	NOUN
ejpam-3433	109	8	,	,	PUNCT
ejpam-3433	109	9	x(s)ds	x(s)ds	PROPN
ejpam-3433	109	10	(	(	PUNCT
ejpam-3433	109	11	12	12	NUM
ejpam-3433	109	12	)	)	PUNCT
ejpam-3433	109	13	proof	proof	NOUN
ejpam-3433	109	14	.	.	PUNCT
ejpam-3433	110	1	let	let	VERB
ejpam-3433	110	2	x(t)be	x(t)be	PRON
ejpam-3433	110	3	a	a	DET
ejpam-3433	110	4	solution	solution	NOUN
ejpam-3433	110	5	of	of	ADP
ejpam-3433	110	6	the	the	DET
ejpam-3433	110	7	boundary	boundary	ADJ
ejpam-3433	110	8	-	-	PUNCT
ejpam-3433	110	9	value	value	NOUN
ejpam-3433	110	10	problem	problem	NOUN
ejpam-3433	110	11	(	(	PUNCT
ejpam-3433	110	12	1)-(2	1)-(2	NUM
ejpam-3433	110	13	)	)	PUNCT
ejpam-3433	110	14	.	.	PUNCT
ejpam-3433	111	1	then	then	ADV
ejpam-3433	111	2	in	in	ADP
ejpam-3433	111	3	the	the	DET
ejpam-3433	111	4	same	same	ADJ
ejpam-3433	111	5	way	way	NOUN
ejpam-3433	111	6	as	as	ADP
ejpam-3433	111	7	in	in	ADP
ejpam-3433	111	8	lemma	lemma	PROPN
ejpam-3433	111	9	2.1	2.1	NUM
ejpam-3433	111	10	,	,	PUNCT
ejpam-3433	111	11	we	we	PRON
ejpam-3433	111	12	can	can	AUX
ejpam-3433	111	13	prove	prove	VERB
ejpam-3433	111	14	that	that	SCONJ
ejpam-3433	111	15	it	it	PRON
ejpam-3433	111	16	is	be	AUX
ejpam-3433	111	17	also	also	ADV
ejpam-3433	111	18	a	a	DET
ejpam-3433	111	19	solution	solution	NOUN
ejpam-3433	111	20	of	of	ADP
ejpam-3433	111	21	the	the	DET
ejpam-3433	111	22	integral	integral	ADJ
ejpam-3433	111	23	equation	equation	NOUN
ejpam-3433	111	24	(	(	PUNCT
ejpam-3433	111	25	12	12	NUM
ejpam-3433	111	26	)	)	PUNCT
ejpam-3433	111	27	.	.	PUNCT
ejpam-3433	112	1	obviously	obviously	ADV
ejpam-3433	112	2	,	,	PUNCT
ejpam-3433	112	3	the	the	DET
ejpam-3433	112	4	solution	solution	NOUN
ejpam-3433	112	5	of	of	ADP
ejpam-3433	112	6	integral	integral	ADJ
ejpam-3433	112	7	equation	equation	NOUN
ejpam-3433	112	8	(	(	PUNCT
ejpam-3433	112	9	12	12	NUM
ejpam-3433	112	10	)	)	PUNCT
ejpam-3433	112	11	satisfies	satisfy	VERB
ejpam-3433	112	12	the	the	DET
ejpam-3433	112	13	boundary	boundary	ADJ
ejpam-3433	112	14	-	-	PUNCT
ejpam-3433	112	15	value	value	NOUN
ejpam-3433	112	16	problem	problem	NOUN
ejpam-3433	112	17	(	(	PUNCT
ejpam-3433	112	18	1)-(2	1)-(2	NUM
ejpam-3433	112	19	)	)	PUNCT
ejpam-3433	112	20	.	.	PUNCT
ejpam-3433	113	1	lemma	lemma	PROPN
ejpam-3433	113	2	2.2	2.2	NUM
ejpam-3433	113	3	is	be	AUX
ejpam-3433	113	4	proved	prove	VERB
ejpam-3433	113	5	.	.	PUNCT
ejpam-3433	114	1	3	3	X
ejpam-3433	114	2	.	.	X
ejpam-3433	114	3	main	main	ADJ
ejpam-3433	114	4	results	result	NOUN
ejpam-3433	114	5	let	let	VERB
ejpam-3433	114	6	p	p	PRON
ejpam-3433	114	7	be	be	AUX
ejpam-3433	114	8	an	an	DET
ejpam-3433	114	9	operator	operator	NOUN
ejpam-3433	114	10	such	such	ADJ
ejpam-3433	114	11	that	that	PRON
ejpam-3433	114	12	,	,	PUNCT
ejpam-3433	114	13	p	p	X
ejpam-3433	114	14	:	:	PUNCT
ejpam-3433	114	15	c([0	c([0	PROPN
ejpam-3433	114	16	,	,	PUNCT
ejpam-3433	114	17	t	t	X
ejpam-3433	114	18	]	]	PUNCT
ejpam-3433	114	19	;	;	PUNCT
ejpam-3433	114	20	rn)→	rn)→	VERB
ejpam-3433	114	21	c([0	c([0	PROPN
ejpam-3433	114	22	,	,	PUNCT
ejpam-3433	114	23	t	t	X
ejpam-3433	114	24	]	]	PUNCT
ejpam-3433	114	25	;	;	PUNCT
ejpam-3433	114	26	rn	rn	PROPN
ejpam-3433	114	27	)	)	PUNCT
ejpam-3433	114	28	as	as	ADP
ejpam-3433	114	29	(	(	PUNCT
ejpam-3433	114	30	px)(t	px)(t	PROPN
ejpam-3433	114	31	)	)	PUNCT
ejpam-3433	114	32	=	=	PUNCT
ejpam-3433	115	1	d	d	PROPN
ejpam-3433	115	2	+	+	CCONJ
ejpam-3433	115	3	t∫	t∫	PRON
ejpam-3433	115	4	0	0	NUM
ejpam-3433	115	5	g(t	g(t	PROPN
ejpam-3433	115	6	,	,	PUNCT
ejpam-3433	115	7	s)f(s	s)f(	NOUN
ejpam-3433	115	8	,	,	PUNCT
ejpam-3433	115	9	x(s)ds	x(s)ds	PROPN
ejpam-3433	115	10	.	.	PUNCT
ejpam-3433	116	1	it	it	PRON
ejpam-3433	116	2	is	be	AUX
ejpam-3433	116	3	known	know	VERB
ejpam-3433	116	4	that	that	SCONJ
ejpam-3433	116	5	the	the	DET
ejpam-3433	116	6	problem	problem	NOUN
ejpam-3433	116	7	(	(	PUNCT
ejpam-3433	116	8	1)-(2	1)-(2	NUM
ejpam-3433	116	9	)	)	PUNCT
ejpam-3433	116	10	is	be	AUX
ejpam-3433	116	11	equivalent	equivalent	ADJ
ejpam-3433	116	12	to	to	ADP
ejpam-3433	116	13	the	the	DET
ejpam-3433	116	14	fixed	fix	VERB
ejpam-3433	116	15	point	point	NOUN
ejpam-3433	116	16	problem	problem	NOUN
ejpam-3433	116	17	.	.	PUNCT
ejpam-3433	117	1	hence	hence	ADV
ejpam-3433	117	2	,	,	PUNCT
ejpam-3433	117	3	the	the	DET
ejpam-3433	117	4	problem	problem	NOUN
ejpam-3433	117	5	(	(	PUNCT
ejpam-3433	117	6	1)-(2	1)-(2	NUM
ejpam-3433	117	7	)	)	PUNCT
ejpam-3433	117	8	has	have	VERB
ejpam-3433	117	9	a	a	DET
ejpam-3433	117	10	solution	solution	NOUN
ejpam-3433	117	11	if	if	SCONJ
ejpam-3433	117	12	and	and	CCONJ
ejpam-3433	117	13	only	only	ADV
ejpam-3433	117	14	if	if	SCONJ
ejpam-3433	117	15	the	the	DET
ejpam-3433	117	16	operator	operator	NOUN
ejpam-3433	117	17	p	p	NOUN
ejpam-3433	117	18	has	have	VERB
ejpam-3433	117	19	a	a	DET
ejpam-3433	117	20	fixed	fix	VERB
ejpam-3433	117	21	point	point	NOUN
ejpam-3433	117	22	.	.	PUNCT
ejpam-3433	118	1	we	we	PRON
ejpam-3433	118	2	now	now	ADV
ejpam-3433	118	3	present	present	ADJ
ejpam-3433	118	4	existence	existence	NOUN
ejpam-3433	118	5	and	and	CCONJ
ejpam-3433	118	6	uniqueness	uniqueness	NOUN
ejpam-3433	118	7	result	result	NOUN
ejpam-3433	118	8	for	for	ADP
ejpam-3433	118	9	nonlinear	nonlinear	ADJ
ejpam-3433	118	10	problem	problem	NOUN
ejpam-3433	118	11	(	(	PUNCT
ejpam-3433	118	12	1)-(2	1)-(2	NUM
ejpam-3433	118	13	)	)	PUNCT
ejpam-3433	118	14	applying	apply	VERB
ejpam-3433	118	15	the	the	DET
ejpam-3433	118	16	banach	banach	ADV
ejpam-3433	118	17	fixed	fix	VERB
ejpam-3433	118	18	point	point	NOUN
ejpam-3433	118	19	theorem	theorem	VERB
ejpam-3433	118	20	.	.	PUNCT
ejpam-3433	119	1	theorem	theorem	NOUN
ejpam-3433	119	2	1	1	NUM
ejpam-3433	119	3	.	.	PUNCT
ejpam-3433	119	4	assume	assume	VERB
ejpam-3433	119	5	that	that	SCONJ
ejpam-3433	119	6	the	the	DET
ejpam-3433	119	7	following	follow	VERB
ejpam-3433	119	8	assumption	assumption	NOUN
ejpam-3433	119	9	holds	hold	VERB
ejpam-3433	119	10	(	(	PUNCT
ejpam-3433	119	11	h1	h1	PROPN
ejpam-3433	119	12	)	)	PUNCT
ejpam-3433	119	13	there	there	PRON
ejpam-3433	119	14	exists	exist	VERB
ejpam-3433	119	15	a	a	DET
ejpam-3433	119	16	continuous	continuous	ADJ
ejpam-3433	119	17	function	function	NOUN
ejpam-3433	119	18	m(t	m(t	NOUN
ejpam-3433	119	19	)	)	PUNCT
ejpam-3433	119	20	>	>	X
ejpam-3433	119	21	0	0	NUM
ejpam-3433	120	1	such	such	ADJ
ejpam-3433	120	2	that	that	SCONJ
ejpam-3433	120	3	|f(t	|f(t	NOUN
ejpam-3433	120	4	,	,	PUNCT
ejpam-3433	120	5	x)−	x)−	PROPN
ejpam-3433	120	6	f(t	f(t	PROPN
ejpam-3433	120	7	,	,	PUNCT
ejpam-3433	120	8	y)|	y)|	PROPN
ejpam-3433	120	9	≤m(t	≤m(t	NOUN
ejpam-3433	120	10	)	)	PUNCT
ejpam-3433	120	11	|x−	|x−	PART
ejpam-3433	120	12	y|	y|	NOUN
ejpam-3433	120	13	for	for	ADP
ejpam-3433	120	14	each	each	DET
ejpam-3433	120	15	t	t	NOUN
ejpam-3433	120	16	∈	∈	PROPN
ejpam-3433	121	1	[	[	X
ejpam-3433	121	2	0	0	NUM
ejpam-3433	121	3	,	,	PUNCT
ejpam-3433	121	4	t	t	NOUN
ejpam-3433	121	5	]	]	PUNCT
ejpam-3433	121	6	and	and	CCONJ
ejpam-3433	121	7	all	all	DET
ejpam-3433	121	8	x	x	NOUN
ejpam-3433	121	9	,	,	PUNCT
ejpam-3433	121	10	y	y	PROPN
ejpam-3433	121	11	∈	∈	PROPN
ejpam-3433	121	12	rn	rn	PROPN
ejpam-3433	121	13	and	and	CCONJ
ejpam-3433	121	14	l	l	NOUN
ejpam-3433	121	15	=	=	SYM
ejpam-3433	121	16	tsm	tsm	NOUN
ejpam-3433	121	17	<	<	X
ejpam-3433	121	18	1	1	NUM
ejpam-3433	121	19	,	,	PUNCT
ejpam-3433	121	20	(	(	PUNCT
ejpam-3433	121	21	13	13	NUM
ejpam-3433	121	22	)	)	PUNCT
ejpam-3433	121	23	where	where	SCONJ
ejpam-3433	121	24	m	m	VERB
ejpam-3433	121	25	=	=	VERB
ejpam-3433	121	26	max[0,t	max[0,t	PROPN
ejpam-3433	121	27	]	]	SYM
ejpam-3433	121	28	m(t	m(t	PROPN
ejpam-3433	121	29	)	)	PUNCT
ejpam-3433	121	30	,	,	PUNCT
ejpam-3433	121	31	s	s	VERB
ejpam-3433	121	32	=	=	X
ejpam-3433	121	33	max[0,t	max[0,t	PROPN
ejpam-3433	121	34	]	]	PUNCT
ejpam-3433	121	35	×[0,t	×[0,t	NOUN
ejpam-3433	121	36	]	]	X
ejpam-3433	121	37	‖g(t	‖g(t	ADJ
ejpam-3433	121	38	,	,	PUNCT
ejpam-3433	121	39	s)‖	s)‖	NOUN
ejpam-3433	121	40	.	.	PUNCT
ejpam-3433	122	1	then	then	ADV
ejpam-3433	122	2	boundary	boundary	ADJ
ejpam-3433	122	3	-	-	PUNCT
ejpam-3433	122	4	value	value	NOUN
ejpam-3433	122	5	problem	problem	NOUN
ejpam-3433	122	6	(	(	PUNCT
ejpam-3433	122	7	1)-(2	1)-(2	NUM
ejpam-3433	122	8	)	)	PUNCT
ejpam-3433	122	9	has	have	VERB
ejpam-3433	122	10	a	a	DET
ejpam-3433	122	11	unique	unique	ADJ
ejpam-3433	122	12	solution	solution	NOUN
ejpam-3433	122	13	on	on	ADP
ejpam-3433	122	14	[	[	X
ejpam-3433	122	15	0	0	NUM
ejpam-3433	122	16	,	,	PUNCT
ejpam-3433	122	17	t	t	X
ejpam-3433	122	18	]	]	PUNCT
ejpam-3433	122	19	.	.	PUNCT
ejpam-3433	123	1	y.	y.	PROPN
ejpam-3433	123	2	a.	a.	PROPN
ejpam-3433	123	3	sharifov	sharifov	PROPN
ejpam-3433	123	4	et	et	PROPN
ejpam-3433	123	5	al	al	PROPN
ejpam-3433	123	6	.	.	PUNCT
ejpam-3433	123	7	/	/	SYM
ejpam-3433	123	8	eur	eur	PROPN
ejpam-3433	123	9	.	.	PUNCT
ejpam-3433	124	1	j.	j.	PROPN
ejpam-3433	124	2	pure	pure	PROPN
ejpam-3433	124	3	appl	appl	PROPN
ejpam-3433	124	4	.	.	PROPN
ejpam-3433	124	5	math	math	PROPN
ejpam-3433	124	6	,	,	PUNCT
ejpam-3433	124	7	12	12	NUM
ejpam-3433	124	8	(	(	PUNCT
ejpam-3433	124	9	3	3	NUM
ejpam-3433	124	10	)	)	PUNCT
ejpam-3433	124	11	(	(	PUNCT
ejpam-3433	124	12	2019	2019	NUM
ejpam-3433	124	13	)	)	PUNCT
ejpam-3433	124	14	,	,	PUNCT
ejpam-3433	124	15	756	756	NUM
ejpam-3433	124	16	-	-	SYM
ejpam-3433	124	17	770	770	NUM
ejpam-3433	124	18	763	763	NUM
ejpam-3433	124	19	proof	proof	NOUN
ejpam-3433	124	20	.	.	PUNCT
ejpam-3433	125	1	we	we	PRON
ejpam-3433	125	2	denote	denote	VERB
ejpam-3433	125	3	max[0,t	max[0,t	PROPN
ejpam-3433	125	4	]	]	PUNCT
ejpam-3433	126	1	|f(t	|f(t	NOUN
ejpam-3433	126	2	,	,	PUNCT
ejpam-3433	126	3	0)|	0)|	NOUN
ejpam-3433	126	4	=	=	SYM
ejpam-3433	126	5	mf	mf	X
ejpam-3433	126	6	and	and	CCONJ
ejpam-3433	126	7	choose	choose	VERB
ejpam-3433	126	8	r	r	NOUN
ejpam-3433	126	9	≥	≥	NOUN
ejpam-3433	126	10	|d|+mfts	|d|+mfts	PROPN
ejpam-3433	126	11	1−l	1−l	NUM
ejpam-3433	126	12	.	.	PUNCT
ejpam-3433	127	1	we	we	PRON
ejpam-3433	127	2	show	show	VERB
ejpam-3433	127	3	that	that	SCONJ
ejpam-3433	127	4	pbr	pbr	PROPN
ejpam-3433	127	5	⊂	⊂	PROPN
ejpam-3433	127	6	br	br	PROPN
ejpam-3433	127	7	,	,	PUNCT
ejpam-3433	127	8	where	where	SCONJ
ejpam-3433	127	9	br	br	NOUN
ejpam-3433	127	10	=	=	PRON
ejpam-3433	127	11	{	{	PUNCT
ejpam-3433	127	12	x	x	PUNCT
ejpam-3433	127	13	∈	∈	PROPN
ejpam-3433	127	14	c([0	c([0	PROPN
ejpam-3433	127	15	,	,	PUNCT
ejpam-3433	127	16	t	t	X
ejpam-3433	127	17	]	]	PUNCT
ejpam-3433	127	18	;	;	PUNCT
ejpam-3433	127	19	rn	rn	X
ejpam-3433	127	20	)	)	PUNCT
ejpam-3433	127	21	:	:	PUNCT
ejpam-3433	127	22	‖x‖	‖x‖	VERB
ejpam-3433	127	23	≤	≤	NOUN
ejpam-3433	127	24	r	r	NOUN
ejpam-3433	127	25	}	}	PUNCT
ejpam-3433	127	26	.	.	PUNCT
ejpam-3433	128	1	for	for	ADP
ejpam-3433	128	2	x	x	PROPN
ejpam-3433	128	3	∈	∈	PROPN
ejpam-3433	128	4	br	br	NOUN
ejpam-3433	128	5	,	,	PUNCT
ejpam-3433	128	6	we	we	PRON
ejpam-3433	128	7	have	have	AUX
ejpam-3433	128	8	‖(px	‖(px	NOUN
ejpam-3433	128	9	)	)	PUNCT
ejpam-3433	128	10	(	(	PUNCT
ejpam-3433	128	11	t)‖	t)‖	NOUN
ejpam-3433	128	12	≤	≤	NOUN
ejpam-3433	128	13	|d|+	|d|+	VERB
ejpam-3433	128	14	t∫	t∫	PRON
ejpam-3433	128	15	0	0	NUM
ejpam-3433	128	16	|g(t	|g(t	NOUN
ejpam-3433	128	17	,	,	PUNCT
ejpam-3433	128	18	s)|	s)|	PROPN
ejpam-3433	128	19	|f(s	|f(s	PROPN
ejpam-3433	128	20	,	,	PUNCT
ejpam-3433	128	21	x(s))−	x(s))−	PROPN
ejpam-3433	128	22	f(s	f(	NOUN
ejpam-3433	128	23	,	,	PUNCT
ejpam-3433	128	24	0)|+	0)|+	PUNCT
ejpam-3433	128	25	|f(s	|f(	NOUN
ejpam-3433	128	26	,	,	PUNCT
ejpam-3433	128	27	0)|	0)|	NOUN
ejpam-3433	128	28	ds	ds	ADJ
ejpam-3433	128	29	≤	≤	NUM
ejpam-3433	128	30	|d|+	|d|+	NOUN
ejpam-3433	128	31	s	s	PART
ejpam-3433	128	32	t∫	t∫	NUM
ejpam-3433	128	33	0	0	NUM
ejpam-3433	128	34	(	(	PUNCT
ejpam-3433	128	35	m	m	PROPN
ejpam-3433	128	36	|x|+mf	|x|+mf	ADJ
ejpam-3433	128	37	)	)	PUNCT
ejpam-3433	128	38	dt	dt	PROPN
ejpam-3433	128	39	≤	≤	NUM
ejpam-3433	128	40	|d|+	|d|+	VERB
ejpam-3433	128	41	smrt	smrt	NOUN
ejpam-3433	128	42	+	+	NOUN
ejpam-3433	128	43	mfts	mft	NOUN
ejpam-3433	128	44	≤	≤	NUM
ejpam-3433	128	45	|d|+	|d|+	VERB
ejpam-3433	128	46	lr	lr	X
ejpam-3433	128	47	+	+	NOUN
ejpam-3433	128	48	mfts	mft	NOUN
ejpam-3433	128	49	≤	≤	NUM
ejpam-3433	128	50	r.	r.	PROPN
ejpam-3433	128	51	thus	thus	ADV
ejpam-3433	128	52	,	,	PUNCT
ejpam-3433	128	53	we	we	PRON
ejpam-3433	128	54	obtain	obtain	VERB
ejpam-3433	128	55	p	p	X
ejpam-3433	128	56	:	:	PUNCT
ejpam-3433	129	1	br	br	PROPN
ejpam-3433	129	2	→	→	SYM
ejpam-3433	129	3	br	br	PROPN
ejpam-3433	129	4	.	.	PUNCT
ejpam-3433	130	1	for	for	ADP
ejpam-3433	130	2	any	any	DET
ejpam-3433	130	3	x	x	NOUN
ejpam-3433	130	4	,	,	PUNCT
ejpam-3433	130	5	y	y	PROPN
ejpam-3433	130	6	∈	∈	PROPN
ejpam-3433	130	7	br	br	PROPN
ejpam-3433	130	8	,	,	PUNCT
ejpam-3433	130	9	it	it	PRON
ejpam-3433	130	10	is	be	AUX
ejpam-3433	130	11	true	true	ADJ
ejpam-3433	130	12	|px−	|px−	PROPN
ejpam-3433	130	13	py|	py|	PROPN
ejpam-3433	130	14	≤	≤	NOUN
ejpam-3433	131	1	t∫	t∫	ADJ
ejpam-3433	131	2	0	0	NUM
ejpam-3433	131	3	|g(t	|g(t	NOUN
ejpam-3433	131	4	,	,	PUNCT
ejpam-3433	131	5	s)(f(s	s)(f(s	ADV
ejpam-3433	131	6	,	,	PUNCT
ejpam-3433	131	7	x(s))−	x(s))−	PROPN
ejpam-3433	131	8	f(s	f(s	PROPN
ejpam-3433	131	9	,	,	PUNCT
ejpam-3433	131	10	y(s))|	y(s))|	PROPN
ejpam-3433	131	11	ds	ds	VERB
ejpam-3433	131	12	≤	≤	ADV
ejpam-3433	131	13	t∫	t∫	PRON
ejpam-3433	131	14	0	0	X
ejpam-3433	131	15	|g(t	|g(t	NOUN
ejpam-3433	131	16	,	,	PUNCT
ejpam-3433	131	17	s)|	s)|	PROPN
ejpam-3433	131	18	|f(s	|f(s	PROPN
ejpam-3433	131	19	,	,	PUNCT
ejpam-3433	131	20	x(s))−	x(s))−	PROPN
ejpam-3433	131	21	f(s	f(s	PROPN
ejpam-3433	131	22	,	,	PUNCT
ejpam-3433	131	23	y(s))|	y(s))|	PROPN
ejpam-3433	131	24	ds	ds	VERB
ejpam-3433	131	25	≤	≤	PROPN
ejpam-3433	131	26	s	s	VERB
ejpam-3433	131	27	t∫	t∫	PRON
ejpam-3433	131	28	0	0	NUM
ejpam-3433	131	29	m(t	m(t	PROPN
ejpam-3433	131	30	)	)	PUNCT
ejpam-3433	131	31	|x(t)−	|x(t)−	X
ejpam-3433	132	1	y(t)|	y(t)|	DET
ejpam-3433	132	2	dt	dt	PUNCT
ejpam-3433	132	3	≤	≤	NUM
ejpam-3433	132	4	smtmax	smtmax	NOUN
ejpam-3433	133	1	[	[	X
ejpam-3433	133	2	0,t	0,t	X
ejpam-3433	133	3	]	]	PUNCT
ejpam-3433	133	4	|x(t)−	|x(t)−	PROPN
ejpam-3433	133	5	y(t)|	y(t)|	PRON
ejpam-3433	133	6	≤	≤	NUM
ejpam-3433	134	1	smt	smt	PROPN
ejpam-3433	134	2	‖x−	‖x−	PROPN
ejpam-3433	134	3	y‖	y‖	PROPN
ejpam-3433	134	4	or	or	CCONJ
ejpam-3433	134	5	‖px−	‖px−	VERB
ejpam-3433	134	6	py‖	py‖	NOUN
ejpam-3433	134	7	≤	≤	NOUN
ejpam-3433	134	8	l	l	NOUN
ejpam-3433	134	9	‖x−	‖x−	PROPN
ejpam-3433	134	10	y‖	y‖	PROPN
ejpam-3433	134	11	.	.	PUNCT
ejpam-3433	135	1	hence	hence	ADV
ejpam-3433	135	2	,	,	PUNCT
ejpam-3433	135	3	p	p	PROPN
ejpam-3433	135	4	is	be	AUX
ejpam-3433	135	5	contraction	contraction	NOUN
ejpam-3433	135	6	by	by	ADP
ejpam-3433	135	7	condition	condition	NOUN
ejpam-3433	135	8	(	(	PUNCT
ejpam-3433	135	9	13	13	NUM
ejpam-3433	135	10	)	)	PUNCT
ejpam-3433	135	11	,	,	PUNCT
ejpam-3433	135	12	and	and	CCONJ
ejpam-3433	135	13	boundary	boundary	ADJ
ejpam-3433	135	14	-	-	PUNCT
ejpam-3433	135	15	value	value	NOUN
ejpam-3433	135	16	problem	problem	NOUN
ejpam-3433	135	17	(	(	PUNCT
ejpam-3433	135	18	1)-(2	1)-(2	NUM
ejpam-3433	135	19	)	)	PUNCT
ejpam-3433	135	20	has	have	VERB
ejpam-3433	135	21	a	a	DET
ejpam-3433	135	22	unique	unique	ADJ
ejpam-3433	135	23	solution	solution	NOUN
ejpam-3433	135	24	.	.	PUNCT
ejpam-3433	136	1	we	we	PRON
ejpam-3433	136	2	are	be	AUX
ejpam-3433	136	3	now	now	ADV
ejpam-3433	136	4	in	in	ADP
ejpam-3433	136	5	a	a	DET
ejpam-3433	136	6	position	position	NOUN
ejpam-3433	136	7	to	to	ADP
ejpam-3433	136	8	state	state	NOUN
ejpam-3433	136	9	and	and	CCONJ
ejpam-3433	136	10	prove	prove	VERB
ejpam-3433	136	11	our	our	PRON
ejpam-3433	136	12	existence	existence	NOUN
ejpam-3433	136	13	result	result	VERB
ejpam-3433	136	14	by	by	ADP
ejpam-3433	136	15	using	use	VERB
ejpam-3433	136	16	schafer	schafer	PROPN
ejpam-3433	136	17	’s	’s	PART
ejpam-3433	136	18	fixed	fix	VERB
ejpam-3433	136	19	point	point	NOUN
ejpam-3433	136	20	theorem	theorem	NOUN
ejpam-3433	136	21	for	for	ADP
ejpam-3433	136	22	the	the	DET
ejpam-3433	136	23	problem	problem	NOUN
ejpam-3433	136	24	(	(	PUNCT
ejpam-3433	136	25	1)-(2	1)-(2	NUM
ejpam-3433	136	26	)	)	PUNCT
ejpam-3433	136	27	.	.	PUNCT
ejpam-3433	137	1	theorem	theorem	NOUN
ejpam-3433	137	2	2	2	NUM
ejpam-3433	138	1	.	.	X
ejpam-3433	138	2	assume	assume	VERB
ejpam-3433	138	3	that	that	SCONJ
ejpam-3433	138	4	the	the	DET
ejpam-3433	138	5	following	follow	VERB
ejpam-3433	138	6	assumptions	assumption	NOUN
ejpam-3433	138	7	are	be	AUX
ejpam-3433	138	8	satisfied	satisfied	ADJ
ejpam-3433	138	9	:	:	PUNCT
ejpam-3433	138	10	(	(	PUNCT
ejpam-3433	138	11	h2	h2	NOUN
ejpam-3433	138	12	)	)	PUNCT
ejpam-3433	138	13	the	the	DET
ejpam-3433	138	14	function	function	NOUN
ejpam-3433	138	15	f	f	NOUN
ejpam-3433	138	16	:	:	PUNCT
ejpam-3433	139	1	[	[	X
ejpam-3433	139	2	0	0	NUM
ejpam-3433	139	3	,	,	PUNCT
ejpam-3433	139	4	t	t	NOUN
ejpam-3433	139	5	]	]	PUNCT
ejpam-3433	139	6	×rn	×rn	PROPN
ejpam-3433	139	7	→	→	SYM
ejpam-3433	139	8	rn	rn	PROPN
ejpam-3433	139	9	is	be	AUX
ejpam-3433	139	10	continuous	continuous	ADJ
ejpam-3433	139	11	;	;	PUNCT
ejpam-3433	139	12	(	(	PUNCT
ejpam-3433	139	13	h3)there	h3)there	NOUN
ejpam-3433	139	14	exists	exist	VERB
ejpam-3433	139	15	a	a	DET
ejpam-3433	139	16	constant	constant	ADJ
ejpam-3433	139	17	n1	n1	NOUN
ejpam-3433	139	18	>	>	X
ejpam-3433	139	19	0	0	NUM
ejpam-3433	140	1	such	such	ADJ
ejpam-3433	140	2	that	that	SCONJ
ejpam-3433	140	3	|f(t	|f(t	PROPN
ejpam-3433	140	4	,	,	PUNCT
ejpam-3433	140	5	x)|	x)|	PROPN
ejpam-3433	140	6	≤	≤	NUM
ejpam-3433	140	7	n1	n1	NOUN
ejpam-3433	140	8	for	for	ADP
ejpam-3433	140	9	each	each	DET
ejpam-3433	140	10	t	t	NOUN
ejpam-3433	140	11	∈	∈	PROPN
ejpam-3433	141	1	[	[	X
ejpam-3433	141	2	0	0	NUM
ejpam-3433	141	3	,	,	PUNCT
ejpam-3433	141	4	t	t	NOUN
ejpam-3433	141	5	]	]	PUNCT
ejpam-3433	141	6	and	and	CCONJ
ejpam-3433	141	7	all	all	DET
ejpam-3433	141	8	x	x	PROPN
ejpam-3433	141	9	∈	∈	PROPN
ejpam-3433	141	10	rn	rn	PROPN
ejpam-3433	141	11	.	.	PROPN
ejpam-3433	142	1	then	then	ADV
ejpam-3433	142	2	the	the	DET
ejpam-3433	142	3	boundary	boundary	ADJ
ejpam-3433	142	4	-	-	PUNCT
ejpam-3433	142	5	value	value	NOUN
ejpam-3433	142	6	problem	problem	NOUN
ejpam-3433	142	7	(	(	PUNCT
ejpam-3433	142	8	1)-(2	1)-(2	NUM
ejpam-3433	142	9	)	)	PUNCT
ejpam-3433	142	10	has	have	VERB
ejpam-3433	142	11	at	at	ADV
ejpam-3433	142	12	least	least	ADV
ejpam-3433	142	13	one	one	NUM
ejpam-3433	142	14	solution	solution	NOUN
ejpam-3433	142	15	on	on	ADP
ejpam-3433	142	16	[	[	X
ejpam-3433	142	17	0	0	NUM
ejpam-3433	142	18	,	,	PUNCT
ejpam-3433	142	19	t	t	X
ejpam-3433	142	20	]	]	PUNCT
ejpam-3433	142	21	.	.	PUNCT
ejpam-3433	143	1	proof	proof	NOUN
ejpam-3433	143	2	.	.	PUNCT
ejpam-3433	144	1	we	we	PRON
ejpam-3433	144	2	will	will	AUX
ejpam-3433	144	3	show	show	VERB
ejpam-3433	144	4	that	that	SCONJ
ejpam-3433	144	5	p	p	PROPN
ejpam-3433	144	6	has	have	VERB
ejpam-3433	144	7	a	a	DET
ejpam-3433	144	8	fixed	fix	VERB
ejpam-3433	144	9	point	point	NOUN
ejpam-3433	144	10	,	,	PUNCT
ejpam-3433	144	11	by	by	ADP
ejpam-3433	144	12	applying	apply	VERB
ejpam-3433	144	13	theorem	theorem	NOUN
ejpam-3433	144	14	3.2	3.2	NUM
ejpam-3433	144	15	.	.	PUNCT
ejpam-3433	145	1	the	the	DET
ejpam-3433	145	2	proof	proof	NOUN
ejpam-3433	145	3	will	will	AUX
ejpam-3433	145	4	be	be	AUX
ejpam-3433	145	5	given	give	VERB
ejpam-3433	145	6	in	in	ADP
ejpam-3433	145	7	several	several	ADJ
ejpam-3433	145	8	steps	step	NOUN
ejpam-3433	145	9	.	.	PUNCT
ejpam-3433	146	1	we	we	PRON
ejpam-3433	146	2	first	first	ADV
ejpam-3433	146	3	will	will	AUX
ejpam-3433	146	4	show	show	VERB
ejpam-3433	146	5	that	that	SCONJ
ejpam-3433	146	6	p	p	NOUN
ejpam-3433	146	7	is	be	AUX
ejpam-3433	146	8	completely	completely	ADV
ejpam-3433	146	9	continuous	continuous	ADJ
ejpam-3433	146	10	.	.	PUNCT
ejpam-3433	147	1	y.	y.	NOUN
ejpam-3433	147	2	a.	a.	PROPN
ejpam-3433	147	3	sharifov	sharifov	PROPN
ejpam-3433	147	4	et	et	PROPN
ejpam-3433	147	5	al	al	PROPN
ejpam-3433	147	6	.	.	PUNCT
ejpam-3433	147	7	/	/	SYM
ejpam-3433	147	8	eur	eur	PROPN
ejpam-3433	147	9	.	.	PUNCT
ejpam-3433	148	1	j.	j.	PROPN
ejpam-3433	148	2	pure	pure	PROPN
ejpam-3433	148	3	appl	appl	PROPN
ejpam-3433	148	4	.	.	PROPN
ejpam-3433	148	5	math	math	PROPN
ejpam-3433	148	6	,	,	PUNCT
ejpam-3433	148	7	12	12	NUM
ejpam-3433	148	8	(	(	PUNCT
ejpam-3433	148	9	3	3	NUM
ejpam-3433	148	10	)	)	PUNCT
ejpam-3433	148	11	(	(	PUNCT
ejpam-3433	148	12	2019	2019	NUM
ejpam-3433	148	13	)	)	PUNCT
ejpam-3433	148	14	,	,	PUNCT
ejpam-3433	148	15	756	756	NUM
ejpam-3433	148	16	-	-	SYM
ejpam-3433	148	17	770	770	NUM
ejpam-3433	148	18	764	764	NUM
ejpam-3433	148	19	step	step	NOUN
ejpam-3433	148	20	1	1	NUM
ejpam-3433	148	21	.	.	PUNCT
ejpam-3433	149	1	let	let	VERB
ejpam-3433	149	2	{	{	PUNCT
ejpam-3433	149	3	xn	xn	VERB
ejpam-3433	149	4	}	}	PUNCT
ejpam-3433	149	5	be	be	AUX
ejpam-3433	149	6	a	a	DET
ejpam-3433	149	7	sequence	sequence	NOUN
ejpam-3433	149	8	such	such	ADJ
ejpam-3433	149	9	that	that	PRON
ejpam-3433	149	10	xn	xn	PUNCT
ejpam-3433	150	1	→	→	PUNCT
ejpam-3433	150	2	x	x	X
ejpam-3433	150	3	in	in	ADP
ejpam-3433	150	4	c([0	c([0	PROPN
ejpam-3433	150	5	,	,	PUNCT
ejpam-3433	150	6	t	t	PROPN
ejpam-3433	150	7	)	)	PUNCT
ejpam-3433	150	8	;	;	PUNCT
ejpam-3433	150	9	rn	rn	PROPN
ejpam-3433	150	10	]	]	X
ejpam-3433	150	11	)	)	PUNCT
ejpam-3433	150	12	.	.	PUNCT
ejpam-3433	151	1	then	then	ADV
ejpam-3433	151	2	for	for	ADP
ejpam-3433	151	3	any	any	DET
ejpam-3433	151	4	t	t	NOUN
ejpam-3433	151	5	∈	∈	PROPN
ejpam-3433	152	1	[	[	X
ejpam-3433	152	2	0	0	NUM
ejpam-3433	152	3	,	,	PUNCT
ejpam-3433	152	4	t	t	X
ejpam-3433	152	5	]	]	PUNCT
ejpam-3433	152	6	|p	|p	X
ejpam-3433	152	7	(	(	PUNCT
ejpam-3433	152	8	xn)(t)−	xn)(t)−	PROPN
ejpam-3433	152	9	p	p	X
ejpam-3433	152	10	(	(	PUNCT
ejpam-3433	153	1	x)(t)|	x)(t)|	PROPN
ejpam-3433	153	2	=	=	SYM
ejpam-3433	153	3	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ejpam-3433	153	4	t∫	t∫	PRON
ejpam-3433	153	5	0	0	NUM
ejpam-3433	153	6	g(t	g(t	PROPN
ejpam-3433	153	7	,	,	PUNCT
ejpam-3433	153	8	s	s	PART
ejpam-3433	153	9	)	)	PUNCT
ejpam-3433	153	10	(	(	PUNCT
ejpam-3433	153	11	f(s	f(s	ADV
ejpam-3433	153	12	,	,	PUNCT
ejpam-3433	153	13	xn(s)−	xn(s)−	PROPN
ejpam-3433	153	14	f(s	f(s	PROPN
ejpam-3433	153	15	,	,	PUNCT
ejpam-3433	153	16	x(s	x(s	PROPN
ejpam-3433	153	17	)	)	PUNCT
ejpam-3433	153	18	)	)	PUNCT
ejpam-3433	153	19	)	)	PUNCT
ejpam-3433	154	1	ds	ds	ADP
ejpam-3433	154	2	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ejpam-3433	154	3	≤	≤	PROPN
ejpam-3433	154	4	s	s	VERB
ejpam-3433	154	5	t∫	t∫	PRON
ejpam-3433	154	6	0	0	NUM
ejpam-3433	154	7	|f(s	|f(	NOUN
ejpam-3433	154	8	,	,	PUNCT
ejpam-3433	154	9	xn(s)−	xn(s)−	X
ejpam-3433	154	10	f(s	f(s	PROPN
ejpam-3433	154	11	,	,	PUNCT
ejpam-3433	154	12	x(s))|	x(s))|	PROPN
ejpam-3433	154	13	ds	ds	PROPN
ejpam-3433	154	14	≤	≤	NUM
ejpam-3433	154	15	stmax	stmax	NOUN
ejpam-3433	154	16	[	[	X
ejpam-3433	154	17	0,t	0,t	X
ejpam-3433	154	18	]	]	X
ejpam-3433	154	19	|f(s	|f(	NOUN
ejpam-3433	154	20	,	,	PUNCT
ejpam-3433	154	21	xn(s)−	xn(s)−	X
ejpam-3433	154	22	f(s	f(s	PROPN
ejpam-3433	154	23	,	,	PUNCT
ejpam-3433	154	24	x(s)).|	x(s)).|	VERB
ejpam-3433	155	1	since	since	SCONJ
ejpam-3433	155	2	f	f	PROPN
ejpam-3433	155	3	continuous	continuous	ADJ
ejpam-3433	155	4	,	,	PUNCT
ejpam-3433	155	5	then	then	ADV
ejpam-3433	155	6	‖p	‖p	PROPN
ejpam-3433	155	7	(	(	PUNCT
ejpam-3433	155	8	xn)(t)−	xn)(t)−	PROPN
ejpam-3433	155	9	p	p	PROPN
ejpam-3433	155	10	(	(	PUNCT
ejpam-3433	155	11	x)(t)‖	x)(t)‖	PROPN
ejpam-3433	155	12	→	→	SYM
ejpam-3433	155	13	0	0	NUM
ejpam-3433	155	14	,	,	PUNCT
ejpam-3433	155	15	as	as	ADP
ejpam-3433	155	16	n→∝.	n→∝.	NOUN
ejpam-3433	155	17	step	step	NOUN
ejpam-3433	155	18	2	2	NUM
ejpam-3433	155	19	.	.	PUNCT
ejpam-3433	155	20	here	here	ADV
ejpam-3433	155	21	we	we	PRON
ejpam-3433	155	22	prove	prove	VERB
ejpam-3433	155	23	that	that	SCONJ
ejpam-3433	155	24	the	the	DET
ejpam-3433	155	25	operator	operator	NOUN
ejpam-3433	155	26	p	p	PROPN
ejpam-3433	155	27	maps	map	NOUN
ejpam-3433	155	28	bounded	bound	VERB
ejpam-3433	155	29	sets	set	NOUN
ejpam-3433	155	30	from	from	ADP
ejpam-3433	155	31	c([0	c([0	NOUN
ejpam-3433	155	32	,	,	PUNCT
ejpam-3433	155	33	t	t	PROPN
ejpam-3433	155	34	)	)	PUNCT
ejpam-3433	155	35	;	;	PUNCT
ejpam-3433	155	36	rn	rn	PROPN
ejpam-3433	155	37	]	]	X
ejpam-3433	155	38	)	)	PUNCT
ejpam-3433	155	39	.	.	PUNCT
ejpam-3433	156	1	indeed	indeed	ADV
ejpam-3433	156	2	,	,	PUNCT
ejpam-3433	156	3	it	it	PRON
ejpam-3433	156	4	is	be	AUX
ejpam-3433	156	5	enough	enough	ADJ
ejpam-3433	156	6	to	to	PART
ejpam-3433	156	7	show	show	VERB
ejpam-3433	156	8	that	that	SCONJ
ejpam-3433	156	9	for	for	ADP
ejpam-3433	156	10	any	any	DET
ejpam-3433	156	11	η	η	PROPN
ejpam-3433	156	12	>	>	X
ejpam-3433	156	13	0	0	NUM
ejpam-3433	156	14	there	there	PRON
ejpam-3433	156	15	exists	exist	VERB
ejpam-3433	156	16	a	a	DET
ejpam-3433	156	17	positive	positive	ADJ
ejpam-3433	156	18	constant	constant	ADJ
ejpam-3433	156	19	l	l	NOUN
ejpam-3433	156	20	such	such	ADJ
ejpam-3433	156	21	that	that	PRON
ejpam-3433	156	22	for	for	ADP
ejpam-3433	156	23	each	each	DET
ejpam-3433	156	24	{	{	PUNCT
ejpam-3433	156	25	x	x	SYM
ejpam-3433	156	26	∈	∈	PROPN
ejpam-3433	156	27	c([0	c([0	NOUN
ejpam-3433	156	28	,	,	PUNCT
ejpam-3433	156	29	t	t	X
ejpam-3433	156	30	]	]	PUNCT
ejpam-3433	156	31	;	;	PUNCT
ejpam-3433	156	32	rn	rn	PROPN
ejpam-3433	156	33	)	)	PUNCT
ejpam-3433	156	34	:	:	PUNCT
ejpam-3433	156	35	‖x‖	‖x‖	X
ejpam-3433	156	36	}	}	PUNCT
ejpam-3433	156	37	≤	≤	NUM
ejpam-3433	156	38	η	η	PROPN
ejpam-3433	156	39	,	,	PUNCT
ejpam-3433	156	40	it	it	PRON
ejpam-3433	156	41	is	be	AUX
ejpam-3433	156	42	true	true	ADJ
ejpam-3433	156	43	‖p	‖p	PROPN
ejpam-3433	156	44	(	(	PUNCT
ejpam-3433	156	45	x)‖	x)‖	PROPN
ejpam-3433	156	46	≤	≤	PROPN
ejpam-3433	156	47	l.	l.	NOUN
ejpam-3433	156	48	for	for	ADP
ejpam-3433	156	49	each	each	DET
ejpam-3433	156	50	t	t	NOUN
ejpam-3433	156	51	∈	∈	PROPN
ejpam-3433	157	1	[	[	X
ejpam-3433	157	2	0	0	NUM
ejpam-3433	157	3	,	,	PUNCT
ejpam-3433	157	4	t	t	X
ejpam-3433	157	5	]	]	PUNCT
ejpam-3433	157	6	,	,	PUNCT
ejpam-3433	157	7	by	by	ADP
ejpam-3433	157	8	(	(	PUNCT
ejpam-3433	157	9	h3	h3	NOUN
ejpam-3433	157	10	)	)	PUNCT
ejpam-3433	157	11	we	we	PRON
ejpam-3433	157	12	have	have	VERB
ejpam-3433	157	13	|p	|p	X
ejpam-3433	157	14	(	(	PUNCT
ejpam-3433	157	15	x)(t)|	x)(t)|	PROPN
ejpam-3433	157	16	≤	≤	NUM
ejpam-3433	157	17	|d|+	|d|+	VERB
ejpam-3433	157	18	∫	∫	PROPN
ejpam-3433	157	19	t	t	PROPN
ejpam-3433	157	20	0	0	X
ejpam-3433	158	1	|g(t	|g(t	PROPN
ejpam-3433	158	2	,	,	PUNCT
ejpam-3433	158	3	s)|	s)|	PROPN
ejpam-3433	158	4	|f(s	|f(s	PROPN
ejpam-3433	158	5	,	,	PUNCT
ejpam-3433	158	6	x(s))|	x(s))|	PROPN
ejpam-3433	158	7	ds	ds	PROPN
ejpam-3433	158	8	hence	hence	ADV
ejpam-3433	158	9	,	,	PUNCT
ejpam-3433	158	10	|p	|p	PROPN
ejpam-3433	158	11	(	(	PUNCT
ejpam-3433	158	12	x)(t)|	x)(t)|	NOUN
ejpam-3433	158	13	≤	≤	NUM
ejpam-3433	158	14	|d|+	|d|+	VERB
ejpam-3433	158	15	sn1	sn1	PROPN
ejpam-3433	158	16	t.	t.	PROPN
ejpam-3433	158	17	in	in	ADP
ejpam-3433	158	18	particular	particular	ADJ
ejpam-3433	158	19	,	,	PUNCT
ejpam-3433	158	20	‖p	‖p	PROPN
ejpam-3433	158	21	(	(	PUNCT
ejpam-3433	158	22	x)(t)‖	x)(t)‖	PROPN
ejpam-3433	158	23	≤	≤	PROPN
ejpam-3433	158	24	|d|+	|d|+	VERB
ejpam-3433	158	25	sn1	sn1	PROPN
ejpam-3433	158	26	t	t	NOUN
ejpam-3433	158	27	=	=	SYM
ejpam-3433	158	28	l.	l.	PROPN
ejpam-3433	158	29	step	step	NOUN
ejpam-3433	158	30	3	3	NUM
ejpam-3433	158	31	.	.	PUNCT
ejpam-3433	159	1	p	p	NOUN
ejpam-3433	159	2	maps	map	NOUN
ejpam-3433	159	3	bounded	bound	VERB
ejpam-3433	159	4	sets	set	NOUN
ejpam-3433	159	5	into	into	ADP
ejpam-3433	159	6	equicontinuous	equicontinuous	ADJ
ejpam-3433	159	7	sets	set	NOUN
ejpam-3433	159	8	of	of	ADP
ejpam-3433	159	9	c([0	c([0	NOUN
ejpam-3433	159	10	,	,	PUNCT
ejpam-3433	159	11	t	t	PROPN
ejpam-3433	159	12	)	)	PUNCT
ejpam-3433	159	13	;	;	PUNCT
ejpam-3433	159	14	rn	rn	PROPN
ejpam-3433	159	15	]	]	X
ejpam-3433	159	16	)	)	PUNCT
ejpam-3433	159	17	.	.	PUNCT
ejpam-3433	160	1	let	let	VERB
ejpam-3433	160	2	s1	s1	NOUN
ejpam-3433	160	3	,	,	PUNCT
ejpam-3433	160	4	s2	s2	NOUN
ejpam-3433	160	5	∈	∈	PROPN
ejpam-3433	161	1	[	[	X
ejpam-3433	161	2	0	0	NUM
ejpam-3433	161	3	,	,	PUNCT
ejpam-3433	161	4	t	t	X
ejpam-3433	161	5	]	]	PUNCT
ejpam-3433	161	6	,	,	PUNCT
ejpam-3433	161	7	s1	s1	PROPN
ejpam-3433	161	8	<	<	X
ejpam-3433	161	9	s2	s2	PROPN
ejpam-3433	161	10	,	,	PUNCT
ejpam-3433	161	11	βn	βn	VERB
ejpam-3433	161	12	be	be	AUX
ejpam-3433	161	13	a	a	DET
ejpam-3433	161	14	bounded	bound	VERB
ejpam-3433	161	15	set	set	NOUN
ejpam-3433	161	16	in	in	ADP
ejpam-3433	161	17	c([0	c([0	PROPN
ejpam-3433	161	18	,	,	PUNCT
ejpam-3433	161	19	t	t	PROPN
ejpam-3433	161	20	)	)	PUNCT
ejpam-3433	161	21	;	;	PUNCT
ejpam-3433	161	22	rn	rn	PROPN
ejpam-3433	161	23	]	]	PUNCT
ejpam-3433	161	24	)	)	PUNCT
ejpam-3433	161	25	as	as	ADP
ejpam-3433	161	26	in	in	ADP
ejpam-3433	161	27	step	step	NOUN
ejpam-3433	161	28	2	2	NUM
ejpam-3433	161	29	.	.	PUNCT
ejpam-3433	162	1	we	we	PRON
ejpam-3433	162	2	assume	assume	VERB
ejpam-3433	162	3	that	that	SCONJ
ejpam-3433	162	4	x	x	PUNCT
ejpam-3433	162	5	∈	∈	PROPN
ejpam-3433	162	6	br	br	PROPN
ejpam-3433	162	7	.	.	PUNCT
ejpam-3433	162	8	case	case	NOUN
ejpam-3433	162	9	1	1	NUM
ejpam-3433	162	10	:	:	PUNCT
ejpam-3433	162	11	let	let	VERB
ejpam-3433	162	12	s1	s1	NOUN
ejpam-3433	162	13	,	,	PUNCT
ejpam-3433	162	14	s2	s2	NOUN
ejpam-3433	162	15	∈	∈	PROPN
ejpam-3433	163	1	[	[	X
ejpam-3433	163	2	0	0	NUM
ejpam-3433	163	3	,	,	PUNCT
ejpam-3433	163	4	τ	τ	X
ejpam-3433	163	5	]	]	PUNCT
ejpam-3433	163	6	.	.	PUNCT
ejpam-3433	164	1	then	then	ADV
ejpam-3433	164	2	p	p	X
ejpam-3433	164	3	(	(	PUNCT
ejpam-3433	164	4	x)(s2)−	x)(s2)−	X
ejpam-3433	164	5	p	p	X
ejpam-3433	164	6	(	(	PUNCT
ejpam-3433	164	7	x)(s1	x)(s1	NOUN
ejpam-3433	164	8	)	)	PUNCT
ejpam-3433	164	9	=	=	SYM
ejpam-3433	164	10	s2∫	s2∫	X
ejpam-3433	164	11	0	0	NUM
ejpam-3433	165	1	n−1	n−1	PROPN
ejpam-3433	165	2	a+	a+	NOUN
ejpam-3433	165	3	s∫	s∫	NOUN
ejpam-3433	165	4	0	0	NUM
ejpam-3433	165	5	n(ξ)dξ	n(ξ)dξ	NOUN
ejpam-3433	165	6			PROPN
ejpam-3433	165	7	f(s	f(	NOUN
ejpam-3433	165	8	,	,	PUNCT
ejpam-3433	165	9	x(s))ds−	x(s))ds−	PROPN
ejpam-3433	165	10	τ∫	τ∫	PROPN
ejpam-3433	165	11	s2	s2	VERB
ejpam-3433	165	12	n−1	n−1	PROPN
ejpam-3433	165	13	b	b	PROPN
ejpam-3433	165	14	+	+	SYM
ejpam-3433	166	1	c	c	X
ejpam-3433	166	2	+	+	CCONJ
ejpam-3433	166	3	t∫	t∫	PROPN
ejpam-3433	166	4	s	s	X
ejpam-3433	166	5	n(ξ)dξ	n(ξ)dξ	X
ejpam-3433	166	6			PROPN
ejpam-3433	166	7	f(s	f(	NOUN
ejpam-3433	166	8	,	,	PUNCT
ejpam-3433	166	9	x(s))ds	x(s))ds	PROPN
ejpam-3433	166	10	−	−	PROPN
ejpam-3433	167	1	t∫	t∫	PROPN
ejpam-3433	167	2	τ	τ	X
ejpam-3433	167	3	n−1	n−1	PROPN
ejpam-3433	167	4	c	c	NOUN
ejpam-3433	167	5	+	+	CCONJ
ejpam-3433	167	6	t∫	t∫	PROPN
ejpam-3433	167	7	s	s	X
ejpam-3433	167	8	n(ξ)dξ	n(ξ)dξ	X
ejpam-3433	167	9			PROPN
ejpam-3433	167	10	f(s	f(	NOUN
ejpam-3433	167	11	,	,	PUNCT
ejpam-3433	167	12	x(s))ds−	x(s))ds−	PROPN
ejpam-3433	167	13	s1∫	s1∫	X
ejpam-3433	167	14	0	0	NUM
ejpam-3433	168	1	n−1	n−1	PROPN
ejpam-3433	168	2	a+	a+	NOUN
ejpam-3433	168	3	s∫	s∫	NOUN
ejpam-3433	168	4	0	0	NUM
ejpam-3433	168	5	n(ξ)dξ	n(ξ)dξ	NOUN
ejpam-3433	168	6			PROPN
ejpam-3433	168	7	f(s	f(	NOUN
ejpam-3433	168	8	,	,	PUNCT
ejpam-3433	168	9	x(s))ds	x(s))ds	PROPN
ejpam-3433	169	1	+	+	CCONJ
ejpam-3433	169	2	τ∫	τ∫	PROPN
ejpam-3433	169	3	s1	s1	PROPN
ejpam-3433	169	4	n−1	n−1	PROPN
ejpam-3433	169	5	b	b	PROPN
ejpam-3433	169	6	+	+	SYM
ejpam-3433	169	7	c	c	X
ejpam-3433	169	8	+	+	CCONJ
ejpam-3433	169	9	t∫	t∫	PROPN
ejpam-3433	169	10	s	s	X
ejpam-3433	169	11	n(ξ)dξ	n(ξ)dξ	X
ejpam-3433	169	12			PROPN
ejpam-3433	169	13	f(s	f(	NOUN
ejpam-3433	169	14	,	,	PUNCT
ejpam-3433	169	15	x(s))ds+	x(s))ds+	PUNCT
ejpam-3433	170	1	t∫	t∫	DET
ejpam-3433	170	2	τ	τ	X
ejpam-3433	170	3	n−1	n−1	PROPN
ejpam-3433	170	4	c	c	NOUN
ejpam-3433	170	5	+	+	CCONJ
ejpam-3433	170	6	t∫	t∫	PROPN
ejpam-3433	170	7	s	s	X
ejpam-3433	170	8	n(ξ)dξ	n(ξ)dξ	NUM
ejpam-3433	170	9			PROPN
ejpam-3433	170	10	f(s.x(s))ds	f(s.x(s))ds	PROPN
ejpam-3433	170	11	=	=	SYM
ejpam-3433	170	12	s2∫	s2∫	PROPN
ejpam-3433	170	13	s1	s1	PROPN
ejpam-3433	170	14	n−1	n−1	PROPN
ejpam-3433	170	15	a+	a+	PROPN
ejpam-3433	170	16	s∫	s∫	NOUN
ejpam-3433	170	17	0	0	NUM
ejpam-3433	170	18	n(ξ)dξ	n(ξ)dξ	NOUN
ejpam-3433	170	19			PROPN
ejpam-3433	170	20	f(s	f(	NOUN
ejpam-3433	170	21	,	,	PUNCT
ejpam-3433	170	22	x(s))ds+	x(s))ds+	PROPN
ejpam-3433	170	23	s2∫	s2∫	PROPN
ejpam-3433	170	24	s1	s1	PROPN
ejpam-3433	170	25	n−1	n−1	PROPN
ejpam-3433	170	26	b	b	PROPN
ejpam-3433	170	27	+	+	SYM
ejpam-3433	170	28	c	c	X
ejpam-3433	171	1	+	+	CCONJ
ejpam-3433	171	2	t∫	t∫	PROPN
ejpam-3433	171	3	s	s	X
ejpam-3433	171	4	n(ξ)dξ	n(ξ)dξ	X
ejpam-3433	171	5			PROPN
ejpam-3433	171	6	f(s	f(	NOUN
ejpam-3433	171	7	,	,	PUNCT
ejpam-3433	171	8	x(s))ds	x(s))ds	X
ejpam-3433	171	9	=	=	SYM
ejpam-3433	171	10	s2∫	s2∫	PROPN
ejpam-3433	171	11	s1	s1	NOUN
ejpam-3433	171	12	f(s	f(	NOUN
ejpam-3433	171	13	,	,	PUNCT
ejpam-3433	171	14	x(s))ds	x(s))ds	PROPN
ejpam-3433	171	15	.	.	PUNCT
ejpam-3433	172	1	y.	y.	PROPN
ejpam-3433	172	2	a.	a.	PROPN
ejpam-3433	172	3	sharifov	sharifov	PROPN
ejpam-3433	172	4	et	et	PROPN
ejpam-3433	172	5	al	al	PROPN
ejpam-3433	172	6	.	.	PUNCT
ejpam-3433	172	7	/	/	SYM
ejpam-3433	172	8	eur	eur	PROPN
ejpam-3433	172	9	.	.	PUNCT
ejpam-3433	173	1	j.	j.	PROPN
ejpam-3433	173	2	pure	pure	PROPN
ejpam-3433	173	3	appl	appl	PROPN
ejpam-3433	173	4	.	.	PROPN
ejpam-3433	173	5	math	math	PROPN
ejpam-3433	173	6	,	,	PUNCT
ejpam-3433	173	7	12	12	NUM
ejpam-3433	173	8	(	(	PUNCT
ejpam-3433	173	9	3	3	NUM
ejpam-3433	173	10	)	)	PUNCT
ejpam-3433	173	11	(	(	PUNCT
ejpam-3433	173	12	2019	2019	NUM
ejpam-3433	173	13	)	)	PUNCT
ejpam-3433	173	14	,	,	PUNCT
ejpam-3433	173	15	756	756	NUM
ejpam-3433	173	16	-	-	SYM
ejpam-3433	173	17	770	770	NUM
ejpam-3433	173	18	765	765	NUM
ejpam-3433	173	19	hence	hence	ADV
ejpam-3433	173	20	we	we	PRON
ejpam-3433	173	21	can	can	AUX
ejpam-3433	173	22	write	write	VERB
ejpam-3433	173	23	|p	|p	PROPN
ejpam-3433	173	24	(	(	PUNCT
ejpam-3433	173	25	x)(s2)−	x)(s2)−	X
ejpam-3433	174	1	p	p	X
ejpam-3433	175	1	(	(	PUNCT
ejpam-3433	175	2	x)(s1)|	x)(s1)|	PROPN
ejpam-3433	175	3	=	=	SYM
ejpam-3433	175	4	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ejpam-3433	175	5	s2∫	s2∫	ADJ
ejpam-3433	175	6	s1	s1	NOUN
ejpam-3433	175	7	f(s	f(	NOUN
ejpam-3433	175	8	,	,	PUNCT
ejpam-3433	175	9	x(s))ds	x(s))ds	PUNCT
ejpam-3433	176	1	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ejpam-3433	176	2	≤	≤	ADJ
ejpam-3433	176	3	s2∫	s2∫	ADJ
ejpam-3433	176	4	s1	s1	PROPN
ejpam-3433	176	5	|f(s	|f(s	PROPN
ejpam-3433	176	6	,	,	PUNCT
ejpam-3433	176	7	x(s))|	x(s))|	PROPN
ejpam-3433	176	8	ds	ds	PROPN
ejpam-3433	176	9	.	.	PROPN
ejpam-3433	176	10	case	case	NOUN
ejpam-3433	176	11	2	2	NUM
ejpam-3433	176	12	:	:	PUNCT
ejpam-3433	176	13	let	let	VERB
ejpam-3433	176	14	s1	s1	PROPN
ejpam-3433	176	15	∈	∈	PROPN
ejpam-3433	177	1	[	[	X
ejpam-3433	177	2	0	0	NUM
ejpam-3433	177	3	,	,	PUNCT
ejpam-3433	177	4	τ	τ	X
ejpam-3433	177	5	]	]	X
ejpam-3433	177	6	,	,	PUNCT
ejpam-3433	177	7	and	and	CCONJ
ejpam-3433	177	8	s2	s2	PROPN
ejpam-3433	177	9	∈	∈	PROPN
ejpam-3433	177	10	(	(	PUNCT
ejpam-3433	177	11	τ	τ	PROPN
ejpam-3433	177	12	,	,	PUNCT
ejpam-3433	177	13	t	t	X
ejpam-3433	177	14	]	]	PUNCT
ejpam-3433	177	15	.	.	PUNCT
ejpam-3433	178	1	p	p	X
ejpam-3433	178	2	(	(	PUNCT
ejpam-3433	178	3	x)(s2)−	x)(s2)−	X
ejpam-3433	178	4	p	p	X
ejpam-3433	178	5	(	(	PUNCT
ejpam-3433	178	6	x)(s1	x)(s1	NOUN
ejpam-3433	178	7	)	)	PUNCT
ejpam-3433	178	8	=	=	SYM
ejpam-3433	178	9	=	=	PUNCT
ejpam-3433	178	10	τ∫	τ∫	PROPN
ejpam-3433	178	11	0	0	NUM
ejpam-3433	178	12	n−1	n−1	PROPN
ejpam-3433	178	13	a+	a+	PROPN
ejpam-3433	178	14	s∫	s∫	NOUN
ejpam-3433	178	15	0	0	NUM
ejpam-3433	178	16	n(ξ)dξ	n(ξ)dξ	NOUN
ejpam-3433	178	17			PROPN
ejpam-3433	178	18	f(s	f(	NOUN
ejpam-3433	178	19	,	,	PUNCT
ejpam-3433	178	20	x(s))ds+	x(s))ds+	PROPN
ejpam-3433	178	21	s2∫	s2∫	PROPN
ejpam-3433	178	22	τ	τ	PROPN
ejpam-3433	178	23	n−1	n−1	PROPN
ejpam-3433	178	24	a+b	a+b	PROPN
ejpam-3433	178	25	+	+	CCONJ
ejpam-3433	178	26	s∫	s∫	PROPN
ejpam-3433	178	27	0	0	NUM
ejpam-3433	178	28	n(ξ)dξ	n(ξ)dξ	NOUN
ejpam-3433	178	29			PROPN
ejpam-3433	178	30	f(s	f(	NOUN
ejpam-3433	178	31	,	,	PUNCT
ejpam-3433	178	32	x(s))ds	x(s))ds	PROPN
ejpam-3433	178	33	−	−	PROPN
ejpam-3433	178	34	t∫	t∫	PROPN
ejpam-3433	178	35	s2	s2	VERB
ejpam-3433	178	36	n−1	n−1	PROPN
ejpam-3433	178	37	c	c	NOUN
ejpam-3433	178	38	+	+	CCONJ
ejpam-3433	178	39	t∫	t∫	PROPN
ejpam-3433	178	40	s	s	X
ejpam-3433	178	41	n(ξ)dξ	n(ξ)dξ	X
ejpam-3433	178	42			PROPN
ejpam-3433	178	43	f(s	f(	NOUN
ejpam-3433	178	44	,	,	PUNCT
ejpam-3433	178	45	x(s))ds−	x(s))ds−	PROPN
ejpam-3433	178	46	s1∫	s1∫	NUM
ejpam-3433	178	47	0	0	NUM
ejpam-3433	178	48	a+	a+	SYM
ejpam-3433	178	49	s∫	s∫	NOUN
ejpam-3433	178	50	0	0	NUM
ejpam-3433	178	51	n(ξ)dξ	n(ξ)dξ	NOUN
ejpam-3433	178	52			PROPN
ejpam-3433	178	53	f(s	f(	NOUN
ejpam-3433	178	54	,	,	PUNCT
ejpam-3433	178	55	x(s))ds	x(s))ds	PROPN
ejpam-3433	179	1	+	+	CCONJ
ejpam-3433	179	2	τ∫	τ∫	PROPN
ejpam-3433	179	3	s1	s1	PROPN
ejpam-3433	179	4	n−1	n−1	PROPN
ejpam-3433	179	5	b	b	PROPN
ejpam-3433	179	6	+	+	SYM
ejpam-3433	179	7	c	c	X
ejpam-3433	179	8	+	+	CCONJ
ejpam-3433	179	9	t∫	t∫	PROPN
ejpam-3433	179	10	s	s	X
ejpam-3433	179	11	n(ξ)dξ	n(ξ)dξ	X
ejpam-3433	179	12			PROPN
ejpam-3433	179	13	f(s	f(	NOUN
ejpam-3433	179	14	,	,	PUNCT
ejpam-3433	179	15	x(s))ds+	x(s))ds+	PUNCT
ejpam-3433	180	1	t∫	t∫	PRON
ejpam-3433	180	2	τ	τ	X
ejpam-3433	180	3	n−1	n−1	PROPN
ejpam-3433	180	4	c	c	NOUN
ejpam-3433	180	5	+	+	CCONJ
ejpam-3433	180	6	t∫	t∫	PROPN
ejpam-3433	180	7	s	s	X
ejpam-3433	180	8	n(ξ)dξ	n(ξ)dξ	X
ejpam-3433	180	9			PROPN
ejpam-3433	180	10	f(s	f(	NOUN
ejpam-3433	180	11	,	,	PUNCT
ejpam-3433	180	12	x(s))ds	x(s))ds	PUNCT
ejpam-3433	180	13	=	=	SYM
ejpam-3433	180	14	τ∫	τ∫	PROPN
ejpam-3433	180	15	s1	s1	PROPN
ejpam-3433	180	16	n−1	n−1	PROPN
ejpam-3433	180	17	a+	a+	PROPN
ejpam-3433	180	18	s∫	s∫	NOUN
ejpam-3433	180	19	0	0	NUM
ejpam-3433	180	20	n(ξ)dξ	n(ξ)dξ	NOUN
ejpam-3433	180	21			PROPN
ejpam-3433	180	22	f(s	f(	NOUN
ejpam-3433	180	23	,	,	PUNCT
ejpam-3433	180	24	x(s))ds+	x(s))ds+	PROPN
ejpam-3433	180	25	s2∫	s2∫	PROPN
ejpam-3433	180	26	τ	τ	X
ejpam-3433	180	27	n−1	n−1	PROPN
ejpam-3433	180	28	c	c	NOUN
ejpam-3433	180	29	+	+	CCONJ
ejpam-3433	180	30	t∫	t∫	PROPN
ejpam-3433	180	31	s	s	X
ejpam-3433	180	32	n(ξ)dξ	n(ξ)dξ	X
ejpam-3433	180	33			PROPN
ejpam-3433	180	34	f(s	f(	NOUN
ejpam-3433	180	35	,	,	PUNCT
ejpam-3433	180	36	x(s))ds	x(s))ds	PROPN
ejpam-3433	181	1	+	+	NUM
ejpam-3433	181	2	s2∫	s2∫	X
ejpam-3433	181	3	τ	τ	PROPN
ejpam-3433	181	4	n−1	n−1	PROPN
ejpam-3433	181	5	a+b	a+b	PROPN
ejpam-3433	181	6	+	+	CCONJ
ejpam-3433	181	7	s∫	s∫	PROPN
ejpam-3433	181	8	0	0	NUM
ejpam-3433	181	9	n(ξ)dξ	n(ξ)dξ	NOUN
ejpam-3433	181	10			PROPN
ejpam-3433	181	11	f(s	f(	NOUN
ejpam-3433	181	12	,	,	PUNCT
ejpam-3433	181	13	x(s))ds+	x(s))ds+	PROPN
ejpam-3433	182	1	τ∫	τ∫	PROPN
ejpam-3433	182	2	s1	s1	PROPN
ejpam-3433	182	3	n−1	n−1	PROPN
ejpam-3433	182	4	b	b	PROPN
ejpam-3433	182	5	+	+	SYM
ejpam-3433	182	6	c	c	X
ejpam-3433	182	7	+	+	CCONJ
ejpam-3433	182	8	t∫	t∫	PROPN
ejpam-3433	182	9	s	s	X
ejpam-3433	182	10	n(ξ)dξ	n(ξ)dξ	X
ejpam-3433	182	11			PROPN
ejpam-3433	182	12	f(s	f(	NOUN
ejpam-3433	182	13	,	,	PUNCT
ejpam-3433	182	14	x(s))ds	x(s))ds	PUNCT
ejpam-3433	182	15	=	=	SYM
ejpam-3433	182	16	τ∫	τ∫	PROPN
ejpam-3433	182	17	s1	s1	PROPN
ejpam-3433	182	18	f(s	f(s	PROPN
ejpam-3433	182	19	,	,	PUNCT
ejpam-3433	182	20	x(s))ds+	x(s))ds+	PROPN
ejpam-3433	182	21	s2∫	s2∫	PROPN
ejpam-3433	182	22	τ	τ	SYM
ejpam-3433	182	23	f(s	f(	NOUN
ejpam-3433	182	24	,	,	PUNCT
ejpam-3433	182	25	x(s))ds	x(s))ds	X
ejpam-3433	182	26	=	=	SYM
ejpam-3433	182	27	s2∫	s2∫	PROPN
ejpam-3433	182	28	s1	s1	NOUN
ejpam-3433	182	29	f(s	f(	NOUN
ejpam-3433	182	30	,	,	PUNCT
ejpam-3433	182	31	x(s))ds	x(s))ds	PROPN
ejpam-3433	182	32	.	.	PUNCT
ejpam-3433	183	1	hence	hence	ADV
ejpam-3433	183	2	we	we	PRON
ejpam-3433	183	3	can	can	AUX
ejpam-3433	183	4	write	write	VERB
ejpam-3433	183	5	|p	|p	PROPN
ejpam-3433	183	6	(	(	PUNCT
ejpam-3433	183	7	x)(s2)−	x)(s2)−	X
ejpam-3433	183	8	p	p	X
ejpam-3433	183	9	(	(	PUNCT
ejpam-3433	183	10	x)(s1)|	x)(s1)|	PROPN
ejpam-3433	183	11	=	=	SYM
ejpam-3433	183	12	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ejpam-3433	183	13	s2∫	s2∫	ADJ
ejpam-3433	183	14	s1	s1	NOUN
ejpam-3433	183	15	f(s	f(	NOUN
ejpam-3433	183	16	,	,	PUNCT
ejpam-3433	183	17	x(s))ds	x(s))ds	PUNCT
ejpam-3433	184	1	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ejpam-3433	184	2	≤	≤	ADJ
ejpam-3433	184	3	s2∫	s2∫	ADJ
ejpam-3433	184	4	s1	s1	PROPN
ejpam-3433	184	5	|f(s	|f(s	PROPN
ejpam-3433	184	6	,	,	PUNCT
ejpam-3433	184	7	x(s))|	x(s))|	PROPN
ejpam-3433	184	8	ds	ds	PROPN
ejpam-3433	184	9	.	.	PROPN
ejpam-3433	184	10	case	case	NOUN
ejpam-3433	184	11	3	3	NUM
ejpam-3433	184	12	:	:	PUNCT
ejpam-3433	184	13	if	if	SCONJ
ejpam-3433	184	14	s1	s1	NOUN
ejpam-3433	184	15	,	,	PUNCT
ejpam-3433	184	16	s2	s2	NOUN
ejpam-3433	184	17	∈	∈	PROPN
ejpam-3433	185	1	[	[	X
ejpam-3433	185	2	τ	τ	PROPN
ejpam-3433	185	3	,	,	PUNCT
ejpam-3433	185	4	t	t	X
ejpam-3433	185	5	]	]	PUNCT
ejpam-3433	185	6	and	and	CCONJ
ejpam-3433	185	7	s1	s1	PROPN
ejpam-3433	185	8	<	<	X
ejpam-3433	185	9	s2	s2	PROPN
ejpam-3433	185	10	,	,	PUNCT
ejpam-3433	185	11	then	then	ADV
ejpam-3433	185	12	similarly	similarly	ADV
ejpam-3433	185	13	to	to	PART
ejpam-3433	185	14	case	case	NOUN
ejpam-3433	185	15	1	1	NUM
ejpam-3433	185	16	,	,	PUNCT
ejpam-3433	185	17	we	we	PRON
ejpam-3433	185	18	can	can	AUX
ejpam-3433	185	19	write	write	VERB
ejpam-3433	185	20	|p	|p	PROPN
ejpam-3433	185	21	(	(	PUNCT
ejpam-3433	185	22	x)(s2)−	x)(s2)−	X
ejpam-3433	185	23	p	p	X
ejpam-3433	185	24	(	(	PUNCT
ejpam-3433	185	25	x)(s1)|	x)(s1)|	PROPN
ejpam-3433	185	26	≤	≤	NOUN
ejpam-3433	185	27	s2∫	s2∫	ADJ
ejpam-3433	185	28	s1	s1	PROPN
ejpam-3433	185	29	|f(s	|f(	NOUN
ejpam-3433	185	30	,	,	PUNCT
ejpam-3433	185	31	x(s))ds.|	x(s))ds.|	NOUN
ejpam-3433	186	1	y.	y.	PROPN
ejpam-3433	186	2	a.	a.	PROPN
ejpam-3433	186	3	sharifov	sharifov	PROPN
ejpam-3433	186	4	et	et	PROPN
ejpam-3433	186	5	al	al	PROPN
ejpam-3433	186	6	.	.	PUNCT
ejpam-3433	186	7	/	/	SYM
ejpam-3433	186	8	eur	eur	PROPN
ejpam-3433	186	9	.	.	PUNCT
ejpam-3433	187	1	j.	j.	PROPN
ejpam-3433	187	2	pure	pure	PROPN
ejpam-3433	187	3	appl	appl	PROPN
ejpam-3433	187	4	.	.	PROPN
ejpam-3433	187	5	math	math	PROPN
ejpam-3433	187	6	,	,	PUNCT
ejpam-3433	187	7	12	12	NUM
ejpam-3433	187	8	(	(	PUNCT
ejpam-3433	187	9	3	3	NUM
ejpam-3433	187	10	)	)	PUNCT
ejpam-3433	187	11	(	(	PUNCT
ejpam-3433	187	12	2019	2019	NUM
ejpam-3433	187	13	)	)	PUNCT
ejpam-3433	187	14	,	,	PUNCT
ejpam-3433	187	15	756	756	NUM
ejpam-3433	187	16	-	-	SYM
ejpam-3433	187	17	770	770	NUM
ejpam-3433	187	18	766	766	NUM
ejpam-3433	187	19	as	as	ADP
ejpam-3433	187	20	s1	s1	PROPN
ejpam-3433	187	21	→	→	SYM
ejpam-3433	187	22	s2	s2	VERB
ejpam-3433	187	23	the	the	DET
ejpam-3433	187	24	right	right	ADJ
ejpam-3433	187	25	-	-	PUNCT
ejpam-3433	187	26	hand	hand	NOUN
ejpam-3433	187	27	side	side	NOUN
ejpam-3433	187	28	of	of	ADP
ejpam-3433	187	29	the	the	DET
ejpam-3433	187	30	above	above	ADJ
ejpam-3433	187	31	inequalities	inequality	NOUN
ejpam-3433	187	32	for	for	ADP
ejpam-3433	187	33	all	all	DET
ejpam-3433	187	34	three	three	NUM
ejpam-3433	187	35	cases	case	NOUN
ejpam-3433	187	36	tends	tend	VERB
ejpam-3433	187	37	to	to	ADP
ejpam-3433	187	38	zero	zero	NUM
ejpam-3433	187	39	.	.	PUNCT
ejpam-3433	188	1	as	as	ADP
ejpam-3433	188	2	a	a	DET
ejpam-3433	188	3	consequence	consequence	NOUN
ejpam-3433	188	4	of	of	ADP
ejpam-3433	188	5	steps	step	NOUN
ejpam-3433	188	6	1	1	NUM
ejpam-3433	188	7	to	to	PART
ejpam-3433	188	8	3	3	NUM
ejpam-3433	188	9	together	together	ADV
ejpam-3433	188	10	with	with	ADP
ejpam-3433	188	11	the	the	DET
ejpam-3433	188	12	arzela	arzela	PROPN
ejpam-3433	188	13	-	-	PUNCT
ejpam-3433	188	14	ascoli	ascoli	PROPN
ejpam-3433	188	15	theorem	theorem	PROPN
ejpam-3433	188	16	,	,	PUNCT
ejpam-3433	188	17	we	we	PRON
ejpam-3433	188	18	can	can	AUX
ejpam-3433	188	19	conclude	conclude	VERB
ejpam-3433	188	20	that	that	SCONJ
ejpam-3433	188	21	the	the	DET
ejpam-3433	188	22	mapping	mapping	NOUN
ejpam-3433	188	23	p	p	X
ejpam-3433	188	24	:	:	PUNCT
ejpam-3433	188	25	c([0	c([0	PROPN
ejpam-3433	188	26	,	,	PUNCT
ejpam-3433	188	27	t	t	X
ejpam-3433	188	28	]	]	PUNCT
ejpam-3433	188	29	;	;	PUNCT
ejpam-3433	188	30	rn)→	rn)→	VERB
ejpam-3433	188	31	c([0	c([0	PROPN
ejpam-3433	188	32	,	,	PUNCT
ejpam-3433	188	33	t	t	X
ejpam-3433	188	34	]	]	PUNCT
ejpam-3433	188	35	;	;	PUNCT
ejpam-3433	188	36	rn	rn	X
ejpam-3433	188	37	)	)	PUNCT
ejpam-3433	188	38	is	be	AUX
ejpam-3433	188	39	completely	completely	ADV
ejpam-3433	188	40	continuous	continuous	ADJ
ejpam-3433	188	41	.	.	PUNCT
ejpam-3433	189	1	step	step	NOUN
ejpam-3433	189	2	4	4	NUM
ejpam-3433	189	3	.	.	PUNCT
ejpam-3433	190	1	here	here	ADV
ejpam-3433	190	2	we	we	PRON
ejpam-3433	190	3	prove	prove	VERB
ejpam-3433	190	4	the	the	DET
ejpam-3433	190	5	necessary	necessary	ADJ
ejpam-3433	190	6	apriory	apriory	ADJ
ejpam-3433	190	7	bounds	bound	NOUN
ejpam-3433	190	8	.	.	PUNCT
ejpam-3433	191	1	indeed	indeed	ADV
ejpam-3433	191	2	,	,	PUNCT
ejpam-3433	191	3	we	we	PRON
ejpam-3433	191	4	show	show	VERB
ejpam-3433	191	5	that	that	SCONJ
ejpam-3433	191	6	the	the	DET
ejpam-3433	191	7	set	set	NOUN
ejpam-3433	191	8	ω	ω	PROPN
ejpam-3433	191	9	=	=	SYM
ejpam-3433	191	10	{	{	PUNCT
ejpam-3433	191	11	x	x	PUNCT
ejpam-3433	191	12	∈	∈	PROPN
ejpam-3433	191	13	c([0	c([0	PROPN
ejpam-3433	191	14	,	,	PUNCT
ejpam-3433	191	15	t	t	X
ejpam-3433	191	16	]	]	PUNCT
ejpam-3433	191	17	;	;	PUNCT
ejpam-3433	191	18	rn	rn	PROPN
ejpam-3433	191	19	)	)	PUNCT
ejpam-3433	191	20	:	:	PUNCT
ejpam-3433	191	21	x	x	X
ejpam-3433	191	22	=	=	PUNCT
ejpam-3433	191	23	λp	λp	X
ejpam-3433	191	24	(	(	PUNCT
ejpam-3433	191	25	x	x	NOUN
ejpam-3433	191	26	)	)	PUNCT
ejpam-3433	191	27	,	,	PUNCT
ejpam-3433	191	28	for	for	SCONJ
ejpam-3433	191	29	some	some	PRON
ejpam-3433	191	30	0	0	NUM
ejpam-3433	191	31	<	<	X
ejpam-3433	191	32	λ	λ	X
ejpam-3433	191	33	<	<	X
ejpam-3433	191	34	1	1	NUM
ejpam-3433	191	35	}	}	PUNCT
ejpam-3433	191	36	is	be	AUX
ejpam-3433	191	37	bounded	bound	VERB
ejpam-3433	191	38	.	.	PUNCT
ejpam-3433	192	1	then	then	ADV
ejpam-3433	192	2	for	for	ADP
ejpam-3433	192	3	each	each	DET
ejpam-3433	192	4	t	t	NOUN
ejpam-3433	192	5	∈	∈	PROPN
ejpam-3433	193	1	[	[	X
ejpam-3433	193	2	0	0	NUM
ejpam-3433	193	3	,	,	PUNCT
ejpam-3433	193	4	t	t	X
ejpam-3433	193	5	]	]	PUNCT
ejpam-3433	193	6	,	,	PUNCT
ejpam-3433	193	7	we	we	PRON
ejpam-3433	193	8	have	have	VERB
ejpam-3433	193	9	x(t	x(t	PROPN
ejpam-3433	193	10	)	)	PUNCT
ejpam-3433	194	1	=	=	SYM
ejpam-3433	194	2	λd	λd	NOUN
ejpam-3433	195	1	+	+	X
ejpam-3433	195	2	λ	λ	X
ejpam-3433	195	3	t∫	t∫	PRON
ejpam-3433	195	4	0	0	NUM
ejpam-3433	195	5	g(t	g(t	PROPN
ejpam-3433	195	6	,	,	PUNCT
ejpam-3433	195	7	s)f(s	s)f(	NOUN
ejpam-3433	195	8	,	,	PUNCT
ejpam-3433	195	9	x(s))ds	x(s))ds	PROPN
ejpam-3433	195	10	.	.	PUNCT
ejpam-3433	196	1	using	use	VERB
ejpam-3433	196	2	(	(	PUNCT
ejpam-3433	196	3	h3	h3	NOUN
ejpam-3433	196	4	)	)	PUNCT
ejpam-3433	196	5	,	,	PUNCT
ejpam-3433	196	6	we	we	PRON
ejpam-3433	196	7	get	get	VERB
ejpam-3433	196	8	for	for	ADP
ejpam-3433	196	9	each	each	DET
ejpam-3433	196	10	t	t	NOUN
ejpam-3433	196	11	∈	∈	PROPN
ejpam-3433	197	1	[	[	X
ejpam-3433	197	2	0	0	NUM
ejpam-3433	197	3	,	,	PUNCT
ejpam-3433	197	4	t	t	X
ejpam-3433	197	5	]	]	PUNCT
ejpam-3433	197	6	,	,	PUNCT
ejpam-3433	197	7	|p	|p	PROPN
ejpam-3433	197	8	(	(	PUNCT
ejpam-3433	197	9	x)(t)|	x)(t)|	NOUN
ejpam-3433	197	10	≤	≤	NUM
ejpam-3433	197	11	|d|+	|d|+	VERB
ejpam-3433	197	12	sn1	sn1	NOUN
ejpam-3433	197	13	t.	t.	NOUN
ejpam-3433	197	14	thus	thus	ADV
ejpam-3433	197	15	‖x‖	‖x‖	PROPN
ejpam-3433	197	16	≤	≤	NOUN
ejpam-3433	197	17	|d|+	|d|+	NOUN
ejpam-3433	197	18	sn1	sn1	PROPN
ejpam-3433	197	19	t.	t.	PROPN
ejpam-3433	197	20	this	this	PRON
ejpam-3433	197	21	shows	show	VERB
ejpam-3433	197	22	that	that	SCONJ
ejpam-3433	197	23	ω	ω	PROPN
ejpam-3433	197	24	is	be	AUX
ejpam-3433	197	25	bounded	bound	VERB
ejpam-3433	197	26	.	.	PUNCT
ejpam-3433	198	1	as	as	ADP
ejpam-3433	198	2	a	a	DET
ejpam-3433	198	3	consequence	consequence	NOUN
ejpam-3433	198	4	of	of	ADP
ejpam-3433	198	5	theorem	theorem	NOUN
ejpam-3433	198	6	3.2	3.2	NUM
ejpam-3433	198	7	,	,	PUNCT
ejpam-3433	198	8	we	we	PRON
ejpam-3433	198	9	deduce	deduce	VERB
ejpam-3433	198	10	that	that	SCONJ
ejpam-3433	198	11	p	p	PROPN
ejpam-3433	198	12	has	have	VERB
ejpam-3433	198	13	a	a	DET
ejpam-3433	198	14	fixed	fix	VERB
ejpam-3433	198	15	point	point	NOUN
ejpam-3433	198	16	which	which	PRON
ejpam-3433	198	17	is	be	AUX
ejpam-3433	198	18	a	a	DET
ejpam-3433	198	19	solution	solution	NOUN
ejpam-3433	198	20	of	of	ADP
ejpam-3433	198	21	(	(	PUNCT
ejpam-3433	198	22	1)-(2	1)-(2	NUM
ejpam-3433	198	23	)	)	PUNCT
ejpam-3433	198	24	.	.	PUNCT
ejpam-3433	199	1	4	4	X
ejpam-3433	199	2	.	.	X
ejpam-3433	199	3	examples	example	NOUN
ejpam-3433	199	4	now	now	ADV
ejpam-3433	199	5	we	we	PRON
ejpam-3433	199	6	give	give	VERB
ejpam-3433	199	7	some	some	DET
ejpam-3433	199	8	examples	example	NOUN
ejpam-3433	199	9	to	to	PART
ejpam-3433	199	10	illustrate	illustrate	VERB
ejpam-3433	199	11	the	the	DET
ejpam-3433	199	12	main	main	ADJ
ejpam-3433	199	13	results	result	NOUN
ejpam-3433	199	14	obtained	obtain	VERB
ejpam-3433	199	15	in	in	ADP
ejpam-3433	199	16	this	this	DET
ejpam-3433	199	17	paper	paper	NOUN
ejpam-3433	199	18	.	.	PUNCT
ejpam-3433	200	1	example	example	NOUN
ejpam-3433	200	2	4.1	4.1	NUM
ejpam-3433	200	3	.	.	PUNCT
ejpam-3433	201	1	let	let	VERB
ejpam-3433	201	2	us	we	PRON
ejpam-3433	201	3	consider	consider	VERB
ejpam-3433	201	4	the	the	DET
ejpam-3433	201	5	following	follow	VERB
ejpam-3433	201	6	nonlocal	nonlocal	ADJ
ejpam-3433	201	7	boundary	boundary	ADJ
ejpam-3433	201	8	value	value	NOUN
ejpam-3433	201	9	problem	problem	NOUN
ejpam-3433	201	10	for	for	ADP
ejpam-3433	201	11	a	a	DET
ejpam-3433	201	12	system	system	NOUN
ejpam-3433	201	13	of	of	ADP
ejpam-3433	201	14	nonlinear	nonlinear	ADJ
ejpam-3433	201	15	differential	differential	ADJ
ejpam-3433	201	16	equations	equation	NOUN
ejpam-3433	201	17	:	:	PUNCT
ejpam-3433	202	1	ẋ1	ẋ1	PROPN
ejpam-3433	202	2	=	=	PUNCT
ejpam-3433	202	3	0.2	0.2	NUM
ejpam-3433	202	4	cosx2(t	cosx2(t	NOUN
ejpam-3433	202	5	)	)	PUNCT
ejpam-3433	202	6	,	,	PUNCT
ejpam-3433	202	7	t	t	PROPN
ejpam-3433	202	8	∈	∈	PROPN
ejpam-3433	202	9	(	(	PUNCT
ejpam-3433	202	10	0	0	NUM
ejpam-3433	202	11	,	,	PUNCT
ejpam-3433	202	12	2	2	NUM
ejpam-3433	202	13	)	)	PUNCT
ejpam-3433	202	14	,	,	PUNCT
ejpam-3433	203	1	ẋ2	ẋ2	PROPN
ejpam-3433	203	2	=	=	NOUN
ejpam-3433	203	3	0.2	0.2	NUM
ejpam-3433	203	4	sinx1(t	sinx1(t	NOUN
ejpam-3433	203	5	)	)	PUNCT
ejpam-3433	203	6	,	,	PUNCT
ejpam-3433	203	7	t	t	PROPN
ejpam-3433	203	8	∈	∈	PROPN
ejpam-3433	203	9	(	(	PUNCT
ejpam-3433	203	10	0	0	NUM
ejpam-3433	203	11	,	,	PUNCT
ejpam-3433	203	12	2	2	NUM
ejpam-3433	203	13	)	)	PUNCT
ejpam-3433	203	14	,	,	PUNCT
ejpam-3433	203	15	(	(	PUNCT
ejpam-3433	203	16	14	14	NUM
ejpam-3433	203	17	)	)	PUNCT
ejpam-3433	203	18	with	with	ADP
ejpam-3433	203	19			NUM
ejpam-3433	203	20	1	1	NUM
ejpam-3433	203	21	2x1(0)−	2x1(0)−	NUM
ejpam-3433	203	22	1	1	NUM
ejpam-3433	203	23	2x2(0	2x2(0	NUM
ejpam-3433	203	24	)	)	PUNCT
ejpam-3433	204	1	+	+	CCONJ
ejpam-3433	205	1	x2(1)−	x2(1)−	NOUN
ejpam-3433	205	2	1	1	NUM
ejpam-3433	205	3	2x2(2	2x2(2	NUM
ejpam-3433	205	4	)	)	PUNCT
ejpam-3433	206	1	+	+	CCONJ
ejpam-3433	206	2	2∫	2∫	NUM
ejpam-3433	206	3	0	0	NUM
ejpam-3433	206	4	1	1	NUM
ejpam-3433	206	5	4x1	4x1	NUM
ejpam-3433	206	6	(	(	PUNCT
ejpam-3433	206	7	t	t	NOUN
ejpam-3433	206	8	)	)	PUNCT
ejpam-3433	206	9	dt	dt	NOUN
ejpam-3433	207	1	=	=	SYM
ejpam-3433	207	2	1	1	NUM
ejpam-3433	207	3	,	,	PUNCT
ejpam-3433	207	4	−1	−1	NOUN
ejpam-3433	207	5	2x1(0	2x1(0	NUM
ejpam-3433	207	6	)	)	PUNCT
ejpam-3433	208	1	+	+	CCONJ
ejpam-3433	208	2	x1(1)−	x1(1)−	NOUN
ejpam-3433	208	3	1	1	NUM
ejpam-3433	208	4	2x1(2	2x1(2	NUM
ejpam-3433	208	5	)	)	PUNCT
ejpam-3433	209	1	+	+	CCONJ
ejpam-3433	209	2	1	1	NUM
ejpam-3433	209	3	2x2(2	2x2(2	NUM
ejpam-3433	209	4	)	)	PUNCT
ejpam-3433	209	5	+	+	CCONJ
ejpam-3433	210	1	2∫	2∫	NUM
ejpam-3433	210	2	0	0	NUM
ejpam-3433	210	3	1	1	NUM
ejpam-3433	210	4	4x2	4x2	NUM
ejpam-3433	210	5	(	(	PUNCT
ejpam-3433	210	6	t	t	NOUN
ejpam-3433	210	7	)	)	PUNCT
ejpam-3433	210	8	dt	dt	NOUN
ejpam-3433	210	9	=	=	NOUN
ejpam-3433	211	1	1	1	X
ejpam-3433	211	2	.	.	PUNCT
ejpam-3433	211	3	(	(	PUNCT
ejpam-3433	211	4	15	15	NUM
ejpam-3433	211	5	)	)	PUNCT
ejpam-3433	211	6	evidently	evidently	ADV
ejpam-3433	211	7	,	,	PUNCT
ejpam-3433	211	8	2∫	2∫	NUM
ejpam-3433	211	9	0	0	NUM
ejpam-3433	211	10	n(t)dt	n(t)dt	NOUN
ejpam-3433	211	11	=	=	X
ejpam-3433	211	12	(	(	PUNCT
ejpam-3433	211	13	1	1	NUM
ejpam-3433	211	14	2	2	NUM
ejpam-3433	211	15	0	0	NUM
ejpam-3433	211	16	0	0	NUM
ejpam-3433	211	17	1	1	NUM
ejpam-3433	211	18	2	2	NUM
ejpam-3433	211	19	)	)	PUNCT
ejpam-3433	211	20	,	,	PUNCT
ejpam-3433	211	21	a	a	PRON
ejpam-3433	211	22	=	=	X
ejpam-3433	211	23	(	(	PUNCT
ejpam-3433	211	24	1	1	NUM
ejpam-3433	211	25	2	2	NUM
ejpam-3433	211	26	−1	−1	NOUN
ejpam-3433	211	27	2	2	NUM
ejpam-3433	211	28	−1	−1	NOUN
ejpam-3433	211	29	2	2	NUM
ejpam-3433	211	30	0	0	NUM
ejpam-3433	211	31	)	)	PUNCT
ejpam-3433	211	32	,	,	PUNCT
ejpam-3433	212	1	b	b	X
ejpam-3433	212	2	=	=	PRON
ejpam-3433	212	3	(	(	PUNCT
ejpam-3433	212	4	0	0	NUM
ejpam-3433	212	5	1	1	NUM
ejpam-3433	212	6	1	1	NUM
ejpam-3433	212	7	0	0	NUM
ejpam-3433	212	8	)	)	PUNCT
ejpam-3433	212	9	,	,	PUNCT
ejpam-3433	212	10	c	c	X
ejpam-3433	212	11	=	=	PUNCT
ejpam-3433	212	12	(	(	PUNCT
ejpam-3433	212	13	0	0	NUM
ejpam-3433	212	14	−1	−1	NOUN
ejpam-3433	212	15	2	2	NUM
ejpam-3433	212	16	−1	−1	NOUN
ejpam-3433	212	17	2	2	NUM
ejpam-3433	212	18	1	1	NUM
ejpam-3433	212	19	2	2	NUM
ejpam-3433	212	20	)	)	PUNCT
ejpam-3433	212	21	,	,	PUNCT
ejpam-3433	213	1	d	d	NOUN
ejpam-3433	213	2	=	=	PRON
ejpam-3433	213	3	(	(	PUNCT
ejpam-3433	213	4	1	1	NUM
ejpam-3433	213	5	1	1	NUM
ejpam-3433	213	6	)	)	PUNCT
ejpam-3433	213	7	,	,	PUNCT
ejpam-3433	213	8	n	n	NOUN
ejpam-3433	213	9	=	=	SYM
ejpam-3433	213	10	a+b	a+b	NUM
ejpam-3433	213	11	+	+	NUM
ejpam-3433	213	12	c	c	X
ejpam-3433	213	13	+	+	CCONJ
ejpam-3433	213	14	∫	∫	PROPN
ejpam-3433	213	15	2	2	NUM
ejpam-3433	213	16	0	0	NUM
ejpam-3433	213	17	n	n	PROPN
ejpam-3433	213	18	(	(	PUNCT
ejpam-3433	213	19	t	t	NOUN
ejpam-3433	213	20	)	)	PUNCT
ejpam-3433	213	21	dt	dt	NOUN
ejpam-3433	213	22	=	=	PUNCT
ejpam-3433	213	23	(	(	PUNCT
ejpam-3433	213	24	1	1	NUM
ejpam-3433	213	25	0	0	NUM
ejpam-3433	213	26	0	0	NUM
ejpam-3433	213	27	1	1	NUM
ejpam-3433	213	28	)	)	PUNCT
ejpam-3433	213	29	.	.	PUNCT
ejpam-3433	214	1	y.	y.	PROPN
ejpam-3433	214	2	a.	a.	PROPN
ejpam-3433	214	3	sharifov	sharifov	PROPN
ejpam-3433	214	4	et	et	PROPN
ejpam-3433	214	5	al	al	PROPN
ejpam-3433	214	6	.	.	PUNCT
ejpam-3433	214	7	/	/	SYM
ejpam-3433	214	8	eur	eur	PROPN
ejpam-3433	214	9	.	.	PUNCT
ejpam-3433	215	1	j.	j.	PROPN
ejpam-3433	215	2	pure	pure	PROPN
ejpam-3433	215	3	appl	appl	PROPN
ejpam-3433	215	4	.	.	PROPN
ejpam-3433	215	5	math	math	PROPN
ejpam-3433	215	6	,	,	PUNCT
ejpam-3433	215	7	12	12	NUM
ejpam-3433	215	8	(	(	PUNCT
ejpam-3433	215	9	3	3	NUM
ejpam-3433	215	10	)	)	PUNCT
ejpam-3433	215	11	(	(	PUNCT
ejpam-3433	215	12	2019	2019	NUM
ejpam-3433	215	13	)	)	PUNCT
ejpam-3433	215	14	,	,	PUNCT
ejpam-3433	215	15	756	756	NUM
ejpam-3433	215	16	-	-	SYM
ejpam-3433	215	17	770	770	NUM
ejpam-3433	215	18	767	767	NUM
ejpam-3433	215	19	it	it	PRON
ejpam-3433	215	20	is	be	AUX
ejpam-3433	215	21	clear	clear	ADJ
ejpam-3433	215	22	that	that	SCONJ
ejpam-3433	215	23	,	,	PUNCT
ejpam-3433	215	24	the	the	DET
ejpam-3433	215	25	green	green	ADJ
ejpam-3433	215	26	function	function	NOUN
ejpam-3433	215	27	for	for	ADP
ejpam-3433	215	28	boundary	boundary	ADJ
ejpam-3433	215	29	value	value	NOUN
ejpam-3433	215	30	problem	problem	NOUN
ejpam-3433	215	31	(	(	PUNCT
ejpam-3433	215	32	14)-(15	14)-(15	ADJ
ejpam-3433	215	33	)	)	PUNCT
ejpam-3433	215	34	g(t	g(t	PROPN
ejpam-3433	215	35	,	,	PUNCT
ejpam-3433	215	36	s	s	PART
ejpam-3433	215	37	)	)	PUNCT
ejpam-3433	215	38	=	=	PRON
ejpam-3433	215	39	{	{	PUNCT
ejpam-3433	215	40	g1	g1	PROPN
ejpam-3433	215	41	(	(	PUNCT
ejpam-3433	215	42	t	t	PROPN
ejpam-3433	215	43	,	,	PUNCT
ejpam-3433	215	44	s	s	PART
ejpam-3433	215	45	)	)	PUNCT
ejpam-3433	215	46	,	,	PUNCT
ejpam-3433	215	47	t	t	PROPN
ejpam-3433	215	48	∈	∈	PROPN
ejpam-3433	216	1	[	[	X
ejpam-3433	216	2	0	0	NUM
ejpam-3433	216	3	,	,	PUNCT
ejpam-3433	216	4	1	1	NUM
ejpam-3433	216	5	]	]	PUNCT
ejpam-3433	216	6	g2	g2	PROPN
ejpam-3433	216	7	(	(	PUNCT
ejpam-3433	216	8	t	t	PROPN
ejpam-3433	216	9	,	,	PUNCT
ejpam-3433	216	10	s	s	PART
ejpam-3433	216	11	)	)	PUNCT
ejpam-3433	216	12	,	,	PUNCT
ejpam-3433	216	13	t	t	PROPN
ejpam-3433	216	14	∈	∈	PROPN
ejpam-3433	216	15	(	(	PUNCT
ejpam-3433	216	16	1	1	NUM
ejpam-3433	216	17	,	,	PUNCT
ejpam-3433	216	18	2	2	NUM
ejpam-3433	216	19	]	]	PUNCT
ejpam-3433	216	20	is	be	AUX
ejpam-3433	216	21	as	as	SCONJ
ejpam-3433	216	22	follows	follow	VERB
ejpam-3433	216	23	:	:	PUNCT
ejpam-3433	216	24	g1	g1	PROPN
ejpam-3433	216	25	(	(	PUNCT
ejpam-3433	216	26	t	t	PROPN
ejpam-3433	216	27	,	,	PUNCT
ejpam-3433	216	28	s	s	PART
ejpam-3433	216	29	)	)	PUNCT
ejpam-3433	216	30	=	=	SYM
ejpam-3433	217	1			X
ejpam-3433	217	2	(	(	PUNCT
ejpam-3433	217	3	0.5	0.5	NUM
ejpam-3433	217	4	+	+	NUM
ejpam-3433	217	5	0.25s	0.25s	NUM
ejpam-3433	217	6	−0.5	−0.5	PUNCT
ejpam-3433	217	7	−0.5	−0.5	NUM
ejpam-3433	217	8	0.25s	0.25s	NUM
ejpam-3433	217	9	)	)	PUNCT
ejpam-3433	217	10	,	,	PUNCT
ejpam-3433	217	11	0	0	NUM
ejpam-3433	217	12	≤	≤	NUM
ejpam-3433	217	13	s	s	PART
ejpam-3433	217	14	≤	≤	NUM
ejpam-3433	217	15	t	t	PROPN
ejpam-3433	217	16	,	,	PUNCT
ejpam-3433	217	17	(	(	PUNCT
ejpam-3433	217	18	0.25	0.25	NUM
ejpam-3433	217	19	(	(	PUNCT
ejpam-3433	217	20	s−	s−	PROPN
ejpam-3433	217	21	2	2	NUM
ejpam-3433	217	22	)	)	PUNCT
ejpam-3433	217	23	−0.5	−0.5	NOUN
ejpam-3433	218	1	−0.5	−0.5	NUM
ejpam-3433	218	2	0.25	0.25	NUM
ejpam-3433	218	3	(	(	PUNCT
ejpam-3433	218	4	s−	s−	PROPN
ejpam-3433	218	5	2	2	NUM
ejpam-3433	218	6	)	)	PUNCT
ejpam-3433	218	7	+	+	NUM
ejpam-3433	218	8	0.5	0.5	NUM
ejpam-3433	218	9	)	)	PUNCT
ejpam-3433	218	10	,	,	PUNCT
ejpam-3433	218	11	t	t	X
ejpam-3433	218	12	<	<	X
ejpam-3433	218	13	s	s	PART
ejpam-3433	218	14	≤	≤	NUM
ejpam-3433	218	15	1	1	NUM
ejpam-3433	218	16	,	,	PUNCT
ejpam-3433	218	17	(	(	PUNCT
ejpam-3433	218	18	0.25	0.25	NUM
ejpam-3433	218	19	(	(	PUNCT
ejpam-3433	218	20	s−	s−	PROPN
ejpam-3433	218	21	2	2	NUM
ejpam-3433	218	22	)	)	PUNCT
ejpam-3433	218	23	0.5	0.5	NUM
ejpam-3433	218	24	0.5	0.5	NUM
ejpam-3433	218	25	0.25	0.25	NUM
ejpam-3433	218	26	(	(	PUNCT
ejpam-3433	218	27	s−	s−	PROPN
ejpam-3433	218	28	2)−	2)−	NUM
ejpam-3433	218	29	0.5	0.5	NUM
ejpam-3433	218	30	)	)	PUNCT
ejpam-3433	218	31	,	,	PUNCT
ejpam-3433	218	32	1	1	NUM
ejpam-3433	218	33	<	<	X
ejpam-3433	218	34	s	s	PART
ejpam-3433	218	35	≤	≤	NUM
ejpam-3433	218	36	2	2	NUM
ejpam-3433	218	37	,	,	PUNCT
ejpam-3433	218	38	and	and	CCONJ
ejpam-3433	218	39	g2	g2	PROPN
ejpam-3433	218	40	(	(	PUNCT
ejpam-3433	218	41	t	t	PROPN
ejpam-3433	218	42	,	,	PUNCT
ejpam-3433	218	43	s	s	PART
ejpam-3433	218	44	)	)	PUNCT
ejpam-3433	218	45	=	=	SYM
ejpam-3433	218	46			X
ejpam-3433	218	47	(	(	PUNCT
ejpam-3433	218	48	0.5	0.5	NUM
ejpam-3433	218	49	+	+	NUM
ejpam-3433	218	50	0.25s	0.25s	NUM
ejpam-3433	218	51	−0.5	−0.5	ADJ
ejpam-3433	218	52	−0	−0	NOUN
ejpam-3433	218	53	,	,	PUNCT
ejpam-3433	218	54	5	5	NUM
ejpam-3433	218	55	0.25s	0.25s	NUM
ejpam-3433	218	56	)	)	PUNCT
ejpam-3433	218	57	,	,	PUNCT
ejpam-3433	218	58	0	0	NUM
ejpam-3433	218	59	≤	≤	NUM
ejpam-3433	218	60	s	s	PART
ejpam-3433	218	61	≤	≤	NUM
ejpam-3433	218	62	1	1	NUM
ejpam-3433	218	63	,	,	PUNCT
ejpam-3433	218	64	(	(	PUNCT
ejpam-3433	218	65	0.5	0.5	NUM
ejpam-3433	218	66	+	+	NOUN
ejpam-3433	218	67	0.25s	0.25s	NUM
ejpam-3433	218	68	0.5	0.5	NUM
ejpam-3433	218	69	0.5	0.5	NUM
ejpam-3433	218	70	0.25s	0.25s	NUM
ejpam-3433	218	71	)	)	PUNCT
ejpam-3433	218	72	,	,	PUNCT
ejpam-3433	218	73	t	t	X
ejpam-3433	218	74	<	<	X
ejpam-3433	218	75	s	s	PART
ejpam-3433	218	76	≤	≤	NUM
ejpam-3433	218	77	1	1	NUM
ejpam-3433	218	78	,	,	PUNCT
ejpam-3433	218	79	(	(	PUNCT
ejpam-3433	218	80	0.25	0.25	NUM
ejpam-3433	218	81	(	(	PUNCT
ejpam-3433	218	82	s−	s−	PROPN
ejpam-3433	218	83	2	2	NUM
ejpam-3433	218	84	)	)	PUNCT
ejpam-3433	218	85	0.5	0.5	NUM
ejpam-3433	218	86	0.5	0.5	NUM
ejpam-3433	218	87	0.25	0.25	NUM
ejpam-3433	218	88	(	(	PUNCT
ejpam-3433	218	89	s−	s−	PROPN
ejpam-3433	218	90	2)−	2)−	NUM
ejpam-3433	218	91	0.5	0.5	NUM
ejpam-3433	218	92	)	)	PUNCT
ejpam-3433	218	93	,	,	PUNCT
ejpam-3433	218	94	1	1	NUM
ejpam-3433	218	95	<	<	X
ejpam-3433	218	96	s	s	PART
ejpam-3433	218	97	≤	≤	ADJ
ejpam-3433	218	98	2	2	NUM
ejpam-3433	218	99	.	.	PUNCT
ejpam-3433	219	1	this	this	PRON
ejpam-3433	219	2	implies	imply	VERB
ejpam-3433	219	3	that	that	SCONJ
ejpam-3433	219	4	‖g‖	‖g‖	VERB
ejpam-3433	219	5	<	<	X
ejpam-3433	219	6	2	2	NUM
ejpam-3433	219	7	.	.	PUNCT
ejpam-3433	220	1	here	here	ADV
ejpam-3433	220	2	s	s	VERB
ejpam-3433	220	3	<	<	X
ejpam-3433	220	4	2	2	NUM
ejpam-3433	220	5	,	,	PUNCT
ejpam-3433	220	6	m	m	VERB
ejpam-3433	220	7	=	=	NOUN
ejpam-3433	220	8	0.2	0.2	NUM
ejpam-3433	220	9	.	.	PUNCT
ejpam-3433	221	1	thus	thus	ADV
ejpam-3433	221	2	,	,	PUNCT
ejpam-3433	221	3	the	the	DET
ejpam-3433	221	4	conditions	condition	NOUN
ejpam-3433	221	5	(	(	PUNCT
ejpam-3433	221	6	h1	h1	PROPN
ejpam-3433	221	7	)	)	PUNCT
ejpam-3433	221	8	and	and	CCONJ
ejpam-3433	221	9	(	(	PUNCT
ejpam-3433	221	10	h2	h2	NOUN
ejpam-3433	221	11	)	)	PUNCT
ejpam-3433	221	12	hold	hold	VERB
ejpam-3433	221	13	with	with	ADP
ejpam-3433	221	14	m	m	PROPN
ejpam-3433	221	15	=	=	NOUN
ejpam-3433	221	16	0.2	0.2	NUM
ejpam-3433	221	17	.	.	PUNCT
ejpam-3433	222	1	we	we	PRON
ejpam-3433	222	2	can	can	AUX
ejpam-3433	222	3	easily	easily	ADV
ejpam-3433	222	4	see	see	VERB
ejpam-3433	222	5	that	that	DET
ejpam-3433	222	6	condition	condition	NOUN
ejpam-3433	222	7	(	(	PUNCT
ejpam-3433	222	8	13	13	NUM
ejpam-3433	222	9	)	)	PUNCT
ejpam-3433	222	10	is	be	AUX
ejpam-3433	222	11	satisfied	satisfied	ADJ
ejpam-3433	222	12	:	:	PUNCT
ejpam-3433	222	13	l	l	NOUN
ejpam-3433	222	14	=	=	SYM
ejpam-3433	222	15	smt	smt	PROPN
ejpam-3433	222	16	=	=	PUNCT
ejpam-3433	222	17	0.2	0.2	NUM
ejpam-3433	222	18	·	·	SYM
ejpam-3433	222	19	2	2	NUM
ejpam-3433	222	20	·	·	SYM
ejpam-3433	222	21	2	2	NUM
ejpam-3433	222	22	=	=	SYM
ejpam-3433	222	23	0.8	0.8	NUM
ejpam-3433	222	24	<	<	X
ejpam-3433	222	25	1	1	NUM
ejpam-3433	222	26	.	.	PUNCT
ejpam-3433	222	27	example	example	NOUN
ejpam-3433	222	28	4.2	4.2	NUM
ejpam-3433	222	29	.	.	PUNCT
ejpam-3433	223	1	let	let	VERB
ejpam-3433	223	2	us	we	PRON
ejpam-3433	223	3	consider	consider	VERB
ejpam-3433	223	4	the	the	DET
ejpam-3433	223	5	following	follow	VERB
ejpam-3433	223	6	boundary	boundary	ADJ
ejpam-3433	223	7	value	value	NOUN
ejpam-3433	223	8	problem	problem	NOUN
ejpam-3433	223	9	on	on	ADP
ejpam-3433	223	10	[	[	X
ejpam-3433	223	11	0	0	NUM
ejpam-3433	223	12	,	,	PUNCT
ejpam-3433	223	13	2	2	NUM
ejpam-3433	223	14	]	]	PUNCT
ejpam-3433	223	15	.	.	PUNCT
ejpam-3433	224	1	{	{	PUNCT
ejpam-3433	225	1	ẋ1	ẋ1	NOUN
ejpam-3433	225	2	=	=	PUNCT
ejpam-3433	225	3	1	1	NUM
ejpam-3433	225	4	1+x22	1+x22	NUM
ejpam-3433	225	5	,	,	PUNCT
ejpam-3433	225	6	t	t	PROPN
ejpam-3433	225	7	∈	∈	PROPN
ejpam-3433	225	8	(	(	PUNCT
ejpam-3433	225	9	0	0	NUM
ejpam-3433	225	10	,	,	PUNCT
ejpam-3433	225	11	2	2	NUM
ejpam-3433	225	12	)	)	PUNCT
ejpam-3433	225	13	,	,	PUNCT
ejpam-3433	226	1	ẋ2	ẋ2	PROPN
ejpam-3433	226	2	=	=	PUNCT
ejpam-3433	226	3	1	1	NUM
ejpam-3433	226	4	1+x21	1+x21	NUM
ejpam-3433	226	5	,	,	PUNCT
ejpam-3433	226	6	t	t	PROPN
ejpam-3433	226	7	∈	∈	PROPN
ejpam-3433	226	8	(	(	PUNCT
ejpam-3433	226	9	0	0	NUM
ejpam-3433	226	10	,	,	PUNCT
ejpam-3433	226	11	2	2	NUM
ejpam-3433	226	12	)	)	PUNCT
ejpam-3433	226	13	,	,	PUNCT
ejpam-3433	226	14	(	(	PUNCT
ejpam-3433	226	15	16	16	NUM
ejpam-3433	226	16	)	)	PUNCT
ejpam-3433	226	17	with	with	ADP
ejpam-3433	226	18	x1(0	x1(0	PROPN
ejpam-3433	226	19	)	)	PUNCT
ejpam-3433	227	1	+	+	CCONJ
ejpam-3433	228	1	x2(1)−	x2(1)−	PROPN
ejpam-3433	228	2	x1(2	x1(2	PROPN
ejpam-3433	228	3	)	)	PUNCT
ejpam-3433	229	1	+	+	CCONJ
ejpam-3433	229	2	∫	∫	PROPN
ejpam-3433	229	3	2	2	NUM
ejpam-3433	229	4	0	0	NUM
ejpam-3433	229	5	tx2(t)dt	tx2(t)dt	ADP
ejpam-3433	229	6	=	=	SYM
ejpam-3433	229	7	−1	−1	NOUN
ejpam-3433	229	8	,	,	PUNCT
ejpam-3433	229	9	x2(0	x2(0	PROPN
ejpam-3433	229	10	)	)	PUNCT
ejpam-3433	230	1	+	+	CCONJ
ejpam-3433	231	1	x1(1)−	x1(1)−	NOUN
ejpam-3433	231	2	2x2(2)−	2x2(2)−	NUM
ejpam-3433	232	1	∫	∫	NOUN
ejpam-3433	232	2	2	2	NUM
ejpam-3433	232	3	0	0	NUM
ejpam-3433	232	4	t	t	PROPN
ejpam-3433	232	5	2x1(t)dt	2x1(t)dt	NUM
ejpam-3433	232	6	=	=	SYM
ejpam-3433	232	7	1	1	NUM
ejpam-3433	232	8	.	.	PUNCT
ejpam-3433	232	9	(	(	PUNCT
ejpam-3433	232	10	17	17	NUM
ejpam-3433	232	11	)	)	PUNCT
ejpam-3433	232	12	since	since	SCONJ
ejpam-3433	232	13	n	n	PROPN
ejpam-3433	232	14	(	(	PUNCT
ejpam-3433	232	15	t	t	PROPN
ejpam-3433	232	16	)	)	PUNCT
ejpam-3433	232	17	=	=	PUNCT
ejpam-3433	233	1	(	(	PUNCT
ejpam-3433	233	2	0	0	NUM
ejpam-3433	233	3	t	t	NOUN
ejpam-3433	233	4	t2	t2	NOUN
ejpam-3433	233	5	0	0	NUM
ejpam-3433	233	6	)	)	PUNCT
ejpam-3433	233	7	,	,	PUNCT
ejpam-3433	233	8	∫	∫	PROPN
ejpam-3433	233	9	2	2	NUM
ejpam-3433	233	10	0	0	NUM
ejpam-3433	233	11	n(t)dt	n(t)dt	NOUN
ejpam-3433	233	12	=	=	X
ejpam-3433	233	13	(	(	PUNCT
ejpam-3433	233	14	0	0	NUM
ejpam-3433	233	15	2	2	NUM
ejpam-3433	233	16	3	3	NUM
ejpam-3433	233	17	8	8	NUM
ejpam-3433	233	18	0	0	NUM
ejpam-3433	233	19	)	)	PUNCT
ejpam-3433	233	20	,	,	PUNCT
ejpam-3433	233	21	a	a	PRON
ejpam-3433	233	22	=	=	X
ejpam-3433	233	23	(	(	PUNCT
ejpam-3433	233	24	1	1	NUM
ejpam-3433	233	25	0	0	NUM
ejpam-3433	233	26	0	0	NUM
ejpam-3433	233	27	1	1	NUM
ejpam-3433	233	28	)	)	PUNCT
ejpam-3433	233	29	,	,	PUNCT
ejpam-3433	233	30	b	b	X
ejpam-3433	233	31	=	=	PRON
ejpam-3433	233	32	(	(	PUNCT
ejpam-3433	233	33	0	0	NUM
ejpam-3433	233	34	1	1	NUM
ejpam-3433	233	35	1	1	NUM
ejpam-3433	233	36	0	0	NUM
ejpam-3433	233	37	)	)	PUNCT
ejpam-3433	233	38	,	,	PUNCT
ejpam-3433	233	39	c	c	X
ejpam-3433	233	40	=	=	PRON
ejpam-3433	233	41	(	(	PUNCT
ejpam-3433	233	42	−1	−1	NOUN
ejpam-3433	233	43	0	0	NUM
ejpam-3433	233	44	0	0	NUM
ejpam-3433	233	45	−2	−2	NOUN
ejpam-3433	233	46	)	)	PUNCT
ejpam-3433	233	47	,	,	PUNCT
ejpam-3433	234	1	d	d	NOUN
ejpam-3433	234	2	=	=	PRON
ejpam-3433	234	3	(	(	PUNCT
ejpam-3433	234	4	−1	−1	NOUN
ejpam-3433	234	5	1	1	NUM
ejpam-3433	234	6	)	)	PUNCT
ejpam-3433	234	7	,	,	PUNCT
ejpam-3433	234	8	n	n	NOUN
ejpam-3433	234	9	=	=	SYM
ejpam-3433	234	10	a+b	a+b	NUM
ejpam-3433	234	11	+	+	NUM
ejpam-3433	234	12	c	c	X
ejpam-3433	234	13	+	+	CCONJ
ejpam-3433	234	14	∫	∫	PROPN
ejpam-3433	234	15	2	2	NUM
ejpam-3433	234	16	0	0	NUM
ejpam-3433	234	17	n	n	PROPN
ejpam-3433	234	18	(	(	PUNCT
ejpam-3433	234	19	t	t	NOUN
ejpam-3433	234	20	)	)	PUNCT
ejpam-3433	234	21	dt	dt	NOUN
ejpam-3433	234	22	=	=	PUNCT
ejpam-3433	234	23	(	(	PUNCT
ejpam-3433	234	24	0	0	NUM
ejpam-3433	234	25	3	3	NUM
ejpam-3433	234	26	11	11	NUM
ejpam-3433	234	27	8	8	NUM
ejpam-3433	234	28	−1	−1	NOUN
ejpam-3433	234	29	)	)	PUNCT
ejpam-3433	234	30	and	and	CCONJ
ejpam-3433	234	31	the	the	DET
ejpam-3433	234	32	function	function	NOUN
ejpam-3433	234	33	(	(	PUNCT
ejpam-3433	234	34	f1	f1	NOUN
ejpam-3433	234	35	f2	f2	ADV
ejpam-3433	234	36	)	)	PUNCT
ejpam-3433	234	37	=	=	PUNCT
ejpam-3433	234	38	(	(	PUNCT
ejpam-3433	234	39	1	1	NUM
ejpam-3433	234	40	1+x22	1+x22	NUM
ejpam-3433	234	41	1	1	NUM
ejpam-3433	234	42	1+x21	1+x21	NUM
ejpam-3433	234	43	)	)	PUNCT
ejpam-3433	234	44	is	be	AUX
ejpam-3433	234	45	continuous	continuous	ADJ
ejpam-3433	234	46	and	and	CCONJ
ejpam-3433	234	47	bounded	bound	VERB
ejpam-3433	234	48	,	,	PUNCT
ejpam-3433	234	49	it	it	PRON
ejpam-3433	234	50	follows	follow	VERB
ejpam-3433	234	51	that	that	SCONJ
ejpam-3433	234	52	conditions	condition	NOUN
ejpam-3433	234	53	(	(	PUNCT
ejpam-3433	234	54	h2)-(h3	h2)-(h3	NUM
ejpam-3433	234	55	)	)	PUNCT
ejpam-3433	234	56	hold	hold	NOUN
ejpam-3433	234	57	.	.	PUNCT
ejpam-3433	235	1	by	by	ADP
ejpam-3433	235	2	theorem	theorem	NOUN
ejpam-3433	235	3	3.2	3.2	NUM
ejpam-3433	235	4	,	,	PUNCT
ejpam-3433	235	5	the	the	DET
ejpam-3433	235	6	boundary	boundary	ADJ
ejpam-3433	235	7	-	-	PUNCT
ejpam-3433	235	8	value	value	NOUN
ejpam-3433	235	9	problem	problem	NOUN
ejpam-3433	235	10	(	(	PUNCT
ejpam-3433	235	11	16)-(17	16)-(17	NUM
ejpam-3433	235	12	)	)	PUNCT
ejpam-3433	235	13	has	have	VERB
ejpam-3433	235	14	at	at	ADV
ejpam-3433	235	15	least	least	ADV
ejpam-3433	235	16	one	one	NUM
ejpam-3433	235	17	solution	solution	NOUN
ejpam-3433	235	18	on	on	ADP
ejpam-3433	235	19	[	[	X
ejpam-3433	235	20	0	0	NUM
ejpam-3433	235	21	,	,	PUNCT
ejpam-3433	235	22	2	2	NUM
ejpam-3433	235	23	]	]	PUNCT
ejpam-3433	235	24	.	.	PUNCT
ejpam-3433	236	1	references	reference	NOUN
ejpam-3433	236	2	768	768	NUM
ejpam-3433	236	3	5	5	NUM
ejpam-3433	236	4	.	.	PUNCT
ejpam-3433	237	1	conclusion	conclusion	NOUN
ejpam-3433	237	2	the	the	DET
ejpam-3433	237	3	boundary	boundary	ADJ
ejpam-3433	237	4	conditions	condition	NOUN
ejpam-3433	237	5	considered	consider	VERB
ejpam-3433	237	6	in	in	ADP
ejpam-3433	237	7	this	this	DET
ejpam-3433	237	8	paper	paper	NOUN
ejpam-3433	237	9	are	be	AUX
ejpam-3433	237	10	general	general	ADJ
ejpam-3433	237	11	enough	enough	ADV
ejpam-3433	237	12	and	and	CCONJ
ejpam-3433	237	13	can	can	AUX
ejpam-3433	237	14	be	be	AUX
ejpam-3433	237	15	used	use	VERB
ejpam-3433	237	16	extensively	extensively	ADV
ejpam-3433	237	17	in	in	ADP
ejpam-3433	237	18	a	a	DET
ejpam-3433	237	19	wide	wide	ADJ
ejpam-3433	237	20	class	class	NOUN
ejpam-3433	237	21	of	of	ADP
ejpam-3433	237	22	problems	problem	NOUN
ejpam-3433	237	23	.	.	PUNCT
ejpam-3433	238	1	in	in	ADP
ejpam-3433	238	2	this	this	DET
ejpam-3433	238	3	work	work	NOUN
ejpam-3433	238	4	,	,	PUNCT
ejpam-3433	238	5	the	the	DET
ejpam-3433	238	6	existence	existence	NOUN
ejpam-3433	238	7	and	and	CCONJ
ejpam-3433	238	8	uniqueness	uniqueness	NOUN
ejpam-3433	238	9	of	of	ADP
ejpam-3433	238	10	the	the	DET
ejpam-3433	238	11	solutions	solution	NOUN
ejpam-3433	238	12	for	for	ADP
ejpam-3433	238	13	the	the	DET
ejpam-3433	238	14	first	first	ADJ
ejpam-3433	238	15	-	-	PUNCT
ejpam-3433	238	16	order	order	NOUN
ejpam-3433	238	17	nonlinear	nonlinear	ADJ
ejpam-3433	238	18	differential	differential	ADJ
ejpam-3433	238	19	equations	equation	NOUN
ejpam-3433	238	20	with	with	ADP
ejpam-3433	238	21	three	three	NUM
ejpam-3433	238	22	-	-	PUNCT
ejpam-3433	238	23	point	point	NOUN
ejpam-3433	238	24	and	and	CCONJ
ejpam-3433	238	25	integral	integral	ADJ
ejpam-3433	238	26	boundary	boundary	ADJ
ejpam-3433	238	27	conditions	condition	NOUN
ejpam-3433	238	28	are	be	AUX
ejpam-3433	238	29	established	establish	VERB
ejpam-3433	238	30	under	under	ADP
ejpam-3433	238	31	sufficient	sufficient	ADJ
ejpam-3433	238	32	conditions	condition	NOUN
ejpam-3433	238	33	.	.	PUNCT
ejpam-3433	239	1	note	note	VERB
ejpam-3433	239	2	that	that	SCONJ
ejpam-3433	239	3	,	,	PUNCT
ejpam-3433	239	4	given	give	VERB
ejpam-3433	239	5	here	here	ADV
ejpam-3433	239	6	methods	method	NOUN
ejpam-3433	239	7	can	can	AUX
ejpam-3433	239	8	be	be	AUX
ejpam-3433	239	9	used	use	VERB
ejpam-3433	239	10	in	in	ADP
ejpam-3433	239	11	similar	similar	ADJ
ejpam-3433	239	12	multi	multi	ADJ
ejpam-3433	239	13	-	-	ADJ
ejpam-3433	239	14	point	point	ADJ
ejpam-3433	239	15	problems	problem	NOUN
ejpam-3433	239	16	for	for	ADP
ejpam-3433	239	17	the	the	DET
ejpam-3433	239	18	ordinary	ordinary	ADJ
ejpam-3433	239	19	differential	differential	ADJ
ejpam-3433	239	20	equations	equation	NOUN
ejpam-3433	239	21	as	as	SCONJ
ejpam-3433	239	22	follows	follow	VERB
ejpam-3433	239	23	:	:	PUNCT
ejpam-3433	239	24	ẋ(t	ẋ(t	X
ejpam-3433	239	25	)	)	PUNCT
ejpam-3433	239	26	=	=	SYM
ejpam-3433	240	1	f(t	f(t	NOUN
ejpam-3433	240	2	,	,	PUNCT
ejpam-3433	240	3	x(t))fort	x(t))fort	PROPN
ejpam-3433	240	4	∈	∈	PROPN
ejpam-3433	241	1	[	[	X
ejpam-3433	241	2	0	0	NUM
ejpam-3433	241	3	,	,	PUNCT
ejpam-3433	241	4	t	t	X
ejpam-3433	241	5	]	]	PUNCT
ejpam-3433	241	6	,	,	PUNCT
ejpam-3433	241	7	m∑	m∑	ADV
ejpam-3433	241	8	j=0	j=0	PROPN
ejpam-3433	241	9	ljx(tj	ljx(tj	NOUN
ejpam-3433	241	10	)	)	PUNCT
ejpam-3433	241	11	+	+	CCONJ
ejpam-3433	241	12	t∫	t∫	ADJ
ejpam-3433	241	13	0	0	NUM
ejpam-3433	241	14	n(t)x(t)dt	n(t)x(t)dt	ADV
ejpam-3433	241	15	=	=	NOUN
ejpam-3433	241	16	α	α	X
ejpam-3433	241	17	.	.	PUNCT
ejpam-3433	242	1	here	here	ADV
ejpam-3433	242	2	0	0	X
ejpam-3433	242	3	=	=	SYM
ejpam-3433	242	4	t0	t0	PROPN
ejpam-3433	242	5	<	<	X
ejpam-3433	242	6	t1	t1	NUM
ejpam-3433	242	7	...	...	PUNCT
ejpam-3433	242	8	<	<	X
ejpam-3433	242	9	tm−1	tm−1	NOUN
ejpam-3433	242	10	<	<	X
ejpam-3433	242	11	tm	tm	PROPN
ejpam-3433	242	12	=	=	PROPN
ejpam-3433	242	13	t	t	PROPN
ejpam-3433	242	14	;	;	PUNCT
ejpam-3433	242	15	n(t	n(t	PROPN
ejpam-3433	242	16	)	)	PUNCT
ejpam-3433	242	17	∈	∈	PROPN
ejpam-3433	242	18	rn×n	rn×n	PROPN
ejpam-3433	242	19	is	be	AUX
ejpam-3433	242	20	a	a	DET
ejpam-3433	242	21	given	give	VERB
ejpam-3433	242	22	function	function	NOUN
ejpam-3433	242	23	;	;	PUNCT
ejpam-3433	242	24	lj	lj	PROPN
ejpam-3433	242	25	∈	∈	PROPN
ejpam-3433	242	26	rn×n	rn×n	PROPN
ejpam-3433	242	27	are	be	AUX
ejpam-3433	242	28	given	give	VERB
ejpam-3433	242	29	matrices	matrix	NOUN
ejpam-3433	242	30	;	;	PUNCT
ejpam-3433	242	31	α	α	PROPN
ejpam-3433	242	32	∈	∈	PROPN
ejpam-3433	242	33	rn	rn	PROPN
ejpam-3433	242	34	is	be	AUX
ejpam-3433	242	35	a	a	DET
ejpam-3433	242	36	given	give	VERB
ejpam-3433	242	37	vector	vector	NOUN
ejpam-3433	242	38	detn	detn	NOUN
ejpam-3433	242	39	6=	6=	ADP
ejpam-3433	242	40	0	0	NUM
ejpam-3433	242	41	,	,	PUNCT
ejpam-3433	242	42	n	n	NOUN
ejpam-3433	242	43	=	=	PUNCT
ejpam-3433	242	44	m∑	m∑	CCONJ
ejpam-3433	242	45	j=0	j=0	X
ejpam-3433	242	46	lj	lj	PROPN
ejpam-3433	243	1	+	+	NUM
ejpam-3433	243	2	∫	∫	PROPN
ejpam-3433	243	3	t	t	PROPN
ejpam-3433	243	4	0	0	NUM
ejpam-3433	243	5	n(t)dt	n(t)dt	PROPN
ejpam-3433	243	6	.	.	PUNCT
ejpam-3433	244	1	references	reference	NOUN
ejpam-3433	244	2	[	[	X
ejpam-3433	244	3	1	1	NUM
ejpam-3433	244	4	]	]	X
ejpam-3433	244	5	v.m	v.m	PROPN
ejpam-3433	244	6	.	.	PUNCT
ejpam-3433	244	7	abdullayev	abdullayev	PROPN
ejpam-3433	244	8	.	.	PUNCT
ejpam-3433	245	1	numerical	numerical	ADJ
ejpam-3433	245	2	solution	solution	NOUN
ejpam-3433	245	3	to	to	ADP
ejpam-3433	245	4	optimal	optimal	ADJ
ejpam-3433	245	5	control	control	NOUN
ejpam-3433	245	6	problems	problem	NOUN
ejpam-3433	245	7	with	with	ADP
ejpam-3433	245	8	multipoint	multipoint	NOUN
ejpam-3433	245	9	and	and	CCONJ
ejpam-3433	245	10	integral	integral	ADJ
ejpam-3433	245	11	conditions	condition	NOUN
ejpam-3433	245	12	.	.	PUNCT
ejpam-3433	246	1	proceedings	proceeding	NOUN
ejpam-3433	246	2	of	of	ADP
ejpam-3433	246	3	the	the	DET
ejpam-3433	246	4	institute	institute	NOUN
ejpam-3433	246	5	of	of	ADP
ejpam-3433	246	6	mathematics	mathematics	PROPN
ejpam-3433	246	7	and	and	CCONJ
ejpam-3433	246	8	mechanics	mechanic	NOUN
ejpam-3433	246	9	,	,	PUNCT
ejpam-3433	246	10	national	national	PROPN
ejpam-3433	246	11	academy	academy	PROPN
ejpam-3433	246	12	of	of	ADP
ejpam-3433	246	13	sciences	sciences	PROPN
ejpam-3433	246	14	of	of	ADP
ejpam-3433	246	15	azerbaijan	azerbaijan	PROPN
ejpam-3433	246	16	,	,	PUNCT
ejpam-3433	246	17	44(2):171–186	44(2):171–186	PROPN
ejpam-3433	246	18	,	,	PUNCT
ejpam-3433	246	19	2018	2018	NUM
ejpam-3433	246	20	.	.	PUNCT
ejpam-3433	247	1	[	[	X
ejpam-3433	247	2	2	2	NUM
ejpam-3433	247	3	]	]	X
ejpam-3433	247	4	b.	b.	PROPN
ejpam-3433	247	5	ahmad	ahmad	PROPN
ejpam-3433	247	6	and	and	CCONJ
ejpam-3433	247	7	s.	s.	PROPN
ejpam-3433	247	8	sivasundaram	sivasundaram	PROPN
ejpam-3433	247	9	r.a	r.a	PROPN
ejpam-3433	247	10	.	.	PROPN
ejpam-3433	247	11	khan	khan	PROPN
ejpam-3433	247	12	.	.	PUNCT
ejpam-3433	248	1	generalized	generalized	ADJ
ejpam-3433	248	2	quasilinearization	quasilinearization	NOUN
ejpam-3433	248	3	method	method	NOUN
ejpam-3433	248	4	for	for	ADP
ejpam-3433	248	5	a	a	DET
ejpam-3433	248	6	first	first	ADJ
ejpam-3433	248	7	order	order	NOUN
ejpam-3433	248	8	differential	differential	ADJ
ejpam-3433	248	9	equation	equation	NOUN
ejpam-3433	248	10	with	with	ADP
ejpam-3433	248	11	integral	integral	ADJ
ejpam-3433	248	12	boundary	boundary	ADJ
ejpam-3433	248	13	condition	condition	NOUN
ejpam-3433	248	14	.	.	PUNCT
ejpam-3433	249	1	dyn	dyn	NOUN
ejpam-3433	249	2	.	.	PUNCT
ejpam-3433	250	1	contin	contin	AUX
ejpam-3433	250	2	.	.	PUNCT
ejpam-3433	251	1	discrete	discrete	ADJ
ejpam-3433	251	2	impuls	impul	NOUN
ejpam-3433	251	3	.	.	PUNCT
ejpam-3433	252	1	syst	syst	PROPN
ejpam-3433	252	2	.	.	PROPN
ejpam-3433	252	3	,	,	PUNCT
ejpam-3433	252	4	ser	ser	PROPN
ejpam-3433	252	5	.	.	PUNCT
ejpam-3433	253	1	a	a	DET
ejpam-3433	253	2	math	math	NOUN
ejpam-3433	253	3	.	.	PUNCT
ejpam-3433	254	1	anal	anal	PROPN
ejpam-3433	254	2	.	.	PUNCT
ejpam-3433	254	3	,	,	PUNCT
ejpam-3433	254	4	12(2):289–296	12(2):289–296	PROPN
ejpam-3433	254	5	,	,	PUNCT
ejpam-3433	254	6	2005	2005	NUM
ejpam-3433	254	7	.	.	PUNCT
ejpam-3433	255	1	[	[	X
ejpam-3433	255	2	3	3	X
ejpam-3433	255	3	]	]	X
ejpam-3433	255	4	k.r	k.r	PROPN
ejpam-3433	255	5	.	.	PROPN
ejpam-3433	255	6	aida	aida	PROPN
ejpam-3433	255	7	-	-	PUNCT
ejpam-3433	255	8	zade	zade	PROPN
ejpam-3433	255	9	.	.	PUNCT
ejpam-3433	256	1	an	an	DET
ejpam-3433	256	2	approach	approach	NOUN
ejpam-3433	256	3	for	for	ADP
ejpam-3433	256	4	solving	solve	VERB
ejpam-3433	256	5	nonlinearly	nonlinearly	ADV
ejpam-3433	256	6	loaded	load	VERB
ejpam-3433	256	7	problems	problem	NOUN
ejpam-3433	256	8	for	for	ADP
ejpam-3433	256	9	linear	linear	ADJ
ejpam-3433	256	10	ordinary	ordinary	ADJ
ejpam-3433	256	11	differential	differential	ADJ
ejpam-3433	256	12	equations	equation	NOUN
ejpam-3433	256	13	.	.	PUNCT
ejpam-3433	257	1	proceedings	proceeding	NOUN
ejpam-3433	257	2	of	of	ADP
ejpam-3433	257	3	the	the	DET
ejpam-3433	257	4	institute	institute	NOUN
ejpam-3433	257	5	of	of	ADP
ejpam-3433	257	6	mathematics	mathematics	PROPN
ejpam-3433	257	7	and	and	CCONJ
ejpam-3433	257	8	mechanics	mechanic	NOUN
ejpam-3433	257	9	,	,	PUNCT
ejpam-3433	257	10	national	national	PROPN
ejpam-3433	257	11	academy	academy	PROPN
ejpam-3433	257	12	of	of	ADP
ejpam-3433	257	13	sciences	sciences	PROPN
ejpam-3433	257	14	of	of	ADP
ejpam-3433	257	15	azerbaijan	azerbaijan	PROPN
ejpam-3433	257	16	,	,	PUNCT
ejpam-3433	257	17	44(2):338–350	44(2):338–350	PROPN
ejpam-3433	257	18	,	,	PUNCT
ejpam-3433	257	19	2018	2018	NUM
ejpam-3433	257	20	.	.	PUNCT
ejpam-3433	258	1	[	[	X
ejpam-3433	258	2	4	4	NUM
ejpam-3433	258	3	]	]	PUNCT
ejpam-3433	258	4	a.	a.	NOUN
ejpam-3433	258	5	ashyralyev	ashyralyev	NOUN
ejpam-3433	258	6	and	and	CCONJ
ejpam-3433	258	7	y.a	y.a	PROPN
ejpam-3433	258	8	.	.	PROPN
ejpam-3433	258	9	sharifov	sharifov	PROPN
ejpam-3433	258	10	.	.	PUNCT
ejpam-3433	259	1	optimal	optimal	ADJ
ejpam-3433	259	2	control	control	NOUN
ejpam-3433	259	3	problem	problem	NOUN
ejpam-3433	259	4	for	for	ADP
ejpam-3433	259	5	impulsive	impulsive	ADJ
ejpam-3433	259	6	systems	system	NOUN
ejpam-3433	259	7	with	with	ADP
ejpam-3433	259	8	integral	integral	ADJ
ejpam-3433	259	9	boundary	boundary	ADJ
ejpam-3433	259	10	conditions	condition	NOUN
ejpam-3433	259	11	.	.	PUNCT
ejpam-3433	260	1	aip	aip	PROPN
ejpam-3433	260	2	conference	conference	NOUN
ejpam-3433	260	3	proceedings	proceeding	NOUN
ejpam-3433	260	4	,	,	PUNCT
ejpam-3433	260	5	1470(1):12–15	1470(1):12–15	NUM
ejpam-3433	260	6	,	,	PUNCT
ejpam-3433	260	7	2012	2012	NUM
ejpam-3433	260	8	.	.	PUNCT
ejpam-3433	261	1	[	[	X
ejpam-3433	261	2	5	5	NUM
ejpam-3433	261	3	]	]	PUNCT
ejpam-3433	261	4	a.	a.	NOUN
ejpam-3433	261	5	ashyralyev	ashyralyev	NOUN
ejpam-3433	261	6	and	and	CCONJ
ejpam-3433	261	7	y.a	y.a	PROPN
ejpam-3433	261	8	.	.	PROPN
ejpam-3433	261	9	sharifov	sharifov	PROPN
ejpam-3433	261	10	.	.	PUNCT
ejpam-3433	262	1	existence	existence	NOUN
ejpam-3433	262	2	and	and	CCONJ
ejpam-3433	262	3	uniqueness	uniqueness	NOUN
ejpam-3433	262	4	of	of	ADP
ejpam-3433	262	5	solutions	solution	NOUN
ejpam-3433	262	6	for	for	ADP
ejpam-3433	262	7	nonlinear	nonlinear	ADJ
ejpam-3433	262	8	impulsive	impulsive	ADJ
ejpam-3433	262	9	differential	differential	ADJ
ejpam-3433	262	10	equations	equation	NOUN
ejpam-3433	262	11	with	with	ADP
ejpam-3433	262	12	two	two	NUM
ejpam-3433	262	13	-	-	PUNCT
ejpam-3433	262	14	point	point	NOUN
ejpam-3433	262	15	and	and	CCONJ
ejpam-3433	262	16	integral	integral	ADJ
ejpam-3433	262	17	boundary	boundary	ADJ
ejpam-3433	262	18	conditions	condition	NOUN
ejpam-3433	262	19	.	.	PUNCT
ejpam-3433	263	1	aip	aip	PROPN
ejpam-3433	263	2	conf	conf	PROPN
ejpam-3433	263	3	.	.	PUNCT
ejpam-3433	264	1	proc	proc	PROPN
ejpam-3433	264	2	.	.	PROPN
ejpam-3433	264	3	,	,	PUNCT
ejpam-3433	264	4	1470(1):8–11	1470(1):8–11	PROPN
ejpam-3433	264	5	,	,	PUNCT
ejpam-3433	264	6	2012	2012	NUM
ejpam-3433	264	7	.	.	PUNCT
ejpam-3433	265	1	[	[	X
ejpam-3433	265	2	6	6	NUM
ejpam-3433	265	3	]	]	PUNCT
ejpam-3433	265	4	a.	a.	NOUN
ejpam-3433	265	5	ashyralyev	ashyralyev	NOUN
ejpam-3433	265	6	and	and	CCONJ
ejpam-3433	265	7	y.a	y.a	PROPN
ejpam-3433	265	8	.	.	PROPN
ejpam-3433	265	9	sharifov	sharifov	PROPN
ejpam-3433	265	10	.	.	PUNCT
ejpam-3433	266	1	existence	existence	NOUN
ejpam-3433	266	2	and	and	CCONJ
ejpam-3433	266	3	uniqueness	uniqueness	NOUN
ejpam-3433	266	4	of	of	ADP
ejpam-3433	266	5	solutions	solution	NOUN
ejpam-3433	266	6	for	for	ADP
ejpam-3433	266	7	nonlinear	nonlinear	ADJ
ejpam-3433	266	8	impulsive	impulsive	ADJ
ejpam-3433	266	9	differential	differential	ADJ
ejpam-3433	266	10	equations	equation	NOUN
ejpam-3433	266	11	with	with	ADP
ejpam-3433	266	12	two	two	NUM
ejpam-3433	266	13	-	-	PUNCT
ejpam-3433	266	14	point	point	NOUN
ejpam-3433	266	15	and	and	CCONJ
ejpam-3433	266	16	integral	integral	ADJ
ejpam-3433	266	17	boundary	boundary	ADJ
ejpam-3433	266	18	conditions	condition	NOUN
ejpam-3433	266	19	.	.	PUNCT
ejpam-3433	267	1	advances	advance	NOUN
ejpam-3433	267	2	in	in	ADP
ejpam-3433	267	3	difference	difference	NOUN
ejpam-3433	267	4	equations	equation	NOUN
ejpam-3433	267	5	,	,	PUNCT
ejpam-3433	267	6	2013(173):1–11	2013(173):1–11	NUM
ejpam-3433	267	7	,	,	PUNCT
ejpam-3433	267	8	2013	2013	NUM
ejpam-3433	267	9	.	.	PUNCT
ejpam-3433	268	1	references	reference	NOUN
ejpam-3433	268	2	769	769	NUM
ejpam-3433	269	1	[	[	X
ejpam-3433	269	2	7	7	NUM
ejpam-3433	269	3	]	]	PUNCT
ejpam-3433	269	4	a.	a.	NOUN
ejpam-3433	269	5	belarbi	belarbi	NOUN
ejpam-3433	269	6	,	,	PUNCT
ejpam-3433	269	7	m.	m.	NOUN
ejpam-3433	269	8	benchohra	benchohra	NOUN
ejpam-3433	269	9	,	,	PUNCT
ejpam-3433	269	10	and	and	CCONJ
ejpam-3433	269	11	a.	a.	NOUN
ejpam-3433	269	12	quahab	quahab	PROPN
ejpam-3433	269	13	.	.	PUNCT
ejpam-3433	270	1	multiple	multiple	ADJ
ejpam-3433	270	2	positive	positive	ADJ
ejpam-3433	270	3	solutions	solution	NOUN
ejpam-3433	270	4	for	for	ADP
ejpam-3433	270	5	nonlinear	nonlinear	ADJ
ejpam-3433	270	6	boundary	boundary	ADJ
ejpam-3433	270	7	value	value	NOUN
ejpam-3433	270	8	problems	problem	NOUN
ejpam-3433	270	9	with	with	ADP
ejpam-3433	270	10	integral	integral	ADJ
ejpam-3433	270	11	boundary	boundary	ADJ
ejpam-3433	270	12	conditions	condition	NOUN
ejpam-3433	270	13	.	.	PUNCT
ejpam-3433	271	1	arch	arch	NOUN
ejpam-3433	271	2	.	.	PUNCT
ejpam-3433	272	1	math	math	NOUN
ejpam-3433	272	2	.	.	PUNCT
ejpam-3433	272	3	,	,	PUNCT
ejpam-3433	273	1	44(1):1–7	44(1):1–7	NUM
ejpam-3433	273	2	,	,	PUNCT
ejpam-3433	273	3	2008	2008	NUM
ejpam-3433	273	4	.	.	PUNCT
ejpam-3433	274	1	[	[	X
ejpam-3433	274	2	8	8	NUM
ejpam-3433	274	3	]	]	X
ejpam-3433	274	4	m.	m.	NOUN
ejpam-3433	274	5	benchohra	benchohra	NOUN
ejpam-3433	274	6	,	,	PUNCT
ejpam-3433	274	7	f.	f.	PROPN
ejpam-3433	274	8	berhoun	berhoun	PROPN
ejpam-3433	274	9	,	,	PUNCT
ejpam-3433	274	10	and	and	CCONJ
ejpam-3433	274	11	j.	j.	PROPN
ejpam-3433	274	12	henderson	henderson	PROPN
ejpam-3433	274	13	.	.	PUNCT
ejpam-3433	275	1	multiple	multiple	ADJ
ejpam-3433	275	2	positive	positive	ADJ
ejpam-3433	275	3	solutions	solution	NOUN
ejpam-3433	275	4	for	for	ADP
ejpam-3433	275	5	impulsive	impulsive	ADJ
ejpam-3433	275	6	boundary	boundary	ADJ
ejpam-3433	275	7	value	value	NOUN
ejpam-3433	275	8	problem	problem	NOUN
ejpam-3433	275	9	with	with	ADP
ejpam-3433	275	10	integral	integral	ADJ
ejpam-3433	275	11	boundary	boundary	ADJ
ejpam-3433	275	12	conditions	condition	NOUN
ejpam-3433	275	13	.	.	PUNCT
ejpam-3433	276	1	math	math	NOUN
ejpam-3433	276	2	.	.	PUNCT
ejpam-3433	277	1	sci	sci	PROPN
ejpam-3433	277	2	.	.	PUNCT
ejpam-3433	277	3	res	res	PROPN
ejpam-3433	277	4	.	.	PUNCT
ejpam-3433	278	1	j.	j.	PROPN
ejpam-3433	278	2	,	,	PUNCT
ejpam-3433	278	3	11(12):614–626	11(12):614–626	NUM
ejpam-3433	278	4	,	,	PUNCT
ejpam-3433	278	5	2007	2007	NUM
ejpam-3433	278	6	.	.	PUNCT
ejpam-3433	279	1	[	[	X
ejpam-3433	279	2	9	9	NUM
ejpam-3433	279	3	]	]	PUNCT
ejpam-3433	279	4	m.	m.	NOUN
ejpam-3433	279	5	benchohra	benchohra	NOUN
ejpam-3433	279	6	,	,	PUNCT
ejpam-3433	279	7	s.	s.	PROPN
ejpam-3433	279	8	hamani	hamani	PROPN
ejpam-3433	279	9	,	,	PUNCT
ejpam-3433	279	10	and	and	CCONJ
ejpam-3433	279	11	j.	j.	PROPN
ejpam-3433	279	12	henderson	henderson	PROPN
ejpam-3433	279	13	.	.	PUNCT
ejpam-3433	280	1	nonlinear	nonlinear	ADJ
ejpam-3433	280	2	impulsive	impulsive	ADJ
ejpam-3433	280	3	differential	differential	ADJ
ejpam-3433	280	4	inclusions	inclusion	NOUN
ejpam-3433	280	5	with	with	ADP
ejpam-3433	280	6	integral	integral	ADJ
ejpam-3433	280	7	boundary	boundary	ADJ
ejpam-3433	280	8	conditions	condition	NOUN
ejpam-3433	280	9	.	.	PUNCT
ejpam-3433	281	1	commun	commun	PROPN
ejpam-3433	281	2	.	.	PUNCT
ejpam-3433	282	1	math	math	PROPN
ejpam-3433	282	2	.	.	PUNCT
ejpam-3433	283	1	anal	anal	PROPN
ejpam-3433	283	2	.	.	PUNCT
ejpam-3433	283	3	,	,	PUNCT
ejpam-3433	283	4	5(2):60–75	5(2):60–75	NUM
ejpam-3433	283	5	,	,	PUNCT
ejpam-3433	283	6	2008	2008	NUM
ejpam-3433	283	7	.	.	PUNCT
ejpam-3433	284	1	[	[	X
ejpam-3433	284	2	10	10	NUM
ejpam-3433	284	3	]	]	PUNCT
ejpam-3433	284	4	m.	m.	NOUN
ejpam-3433	284	5	benchohra	benchohra	NOUN
ejpam-3433	284	6	,	,	PUNCT
ejpam-3433	284	7	j.j	j.j	PROPN
ejpam-3433	284	8	.	.	PROPN
ejpam-3433	284	9	nieto	nieto	PROPN
ejpam-3433	284	10	,	,	PUNCT
ejpam-3433	284	11	and	and	CCONJ
ejpam-3433	284	12	a.	a.	NOUN
ejpam-3433	284	13	quahab	quahab	PROPN
ejpam-3433	284	14	.	.	PUNCT
ejpam-3433	285	1	second	second	ADJ
ejpam-3433	285	2	-	-	PUNCT
ejpam-3433	285	3	order	order	NOUN
ejpam-3433	285	4	boundary	boundary	ADJ
ejpam-3433	285	5	value	value	NOUN
ejpam-3433	285	6	problem	problem	NOUN
ejpam-3433	285	7	with	with	ADP
ejpam-3433	285	8	integral	integral	ADJ
ejpam-3433	285	9	boundary	boundary	ADJ
ejpam-3433	285	10	conditions	condition	NOUN
ejpam-3433	285	11	.	.	PUNCT
ejpam-3433	286	1	bound	bind	VERB
ejpam-3433	286	2	.	.	PUNCT
ejpam-3433	287	1	value	value	PROPN
ejpam-3433	287	2	probl	probl	PROPN
ejpam-3433	287	3	.	.	PUNCT
ejpam-3433	287	4	,	,	PUNCT
ejpam-3433	287	5	2011(260309):1–9	2011(260309):1–9	NUM
ejpam-3433	287	6	,	,	PUNCT
ejpam-3433	287	7	2010	2010	NUM
ejpam-3433	287	8	.	.	PUNCT
ejpam-3433	288	1	[	[	X
ejpam-3433	288	2	11	11	NUM
ejpam-3433	288	3	]	]	PUNCT
ejpam-3433	288	4	a.	a.	NOUN
ejpam-3433	288	5	boucherif	boucherif	NOUN
ejpam-3433	288	6	.	.	PUNCT
ejpam-3433	289	1	second	second	ADJ
ejpam-3433	289	2	-	-	PUNCT
ejpam-3433	289	3	order	order	NOUN
ejpam-3433	289	4	boundary	boundary	ADJ
ejpam-3433	289	5	value	value	NOUN
ejpam-3433	289	6	problems	problem	NOUN
ejpam-3433	289	7	with	with	ADP
ejpam-3433	289	8	integral	integral	ADJ
ejpam-3433	289	9	boundary	boundary	ADJ
ejpam-3433	289	10	conditions	condition	NOUN
ejpam-3433	289	11	.	.	PUNCT
ejpam-3433	290	1	nonlinear	nonlinear	ADJ
ejpam-3433	290	2	anal	anal	PROPN
ejpam-3433	290	3	.	.	PUNCT
ejpam-3433	290	4	:	:	PUNCT
ejpam-3433	291	1	theory	theory	NOUN
ejpam-3433	291	2	,	,	PUNCT
ejpam-3433	291	3	methods	method	NOUN
ejpam-3433	291	4	,	,	PUNCT
ejpam-3433	291	5	applications	application	NOUN
ejpam-3433	291	6	,	,	PUNCT
ejpam-3433	291	7	70(1):364–371	70(1):364–371	NUM
ejpam-3433	291	8	,	,	PUNCT
ejpam-3433	291	9	2009	2009	NUM
ejpam-3433	291	10	.	.	PUNCT
ejpam-3433	292	1	[	[	X
ejpam-3433	292	2	12	12	NUM
ejpam-3433	292	3	]	]	X
ejpam-3433	292	4	j.r	j.r	PROPN
ejpam-3433	292	5	.	.	PROPN
ejpam-3433	292	6	cannon	cannon	NOUN
ejpam-3433	292	7	.	.	PUNCT
ejpam-3433	293	1	the	the	DET
ejpam-3433	293	2	solution	solution	NOUN
ejpam-3433	293	3	of	of	ADP
ejpam-3433	293	4	the	the	DET
ejpam-3433	293	5	heat	heat	NOUN
ejpam-3433	293	6	equation	equation	NOUN
ejpam-3433	293	7	subject	subject	ADJ
ejpam-3433	293	8	to	to	ADP
ejpam-3433	293	9	the	the	DET
ejpam-3433	293	10	specification	specification	NOUN
ejpam-3433	293	11	of	of	ADP
ejpam-3433	293	12	energy	energy	NOUN
ejpam-3433	293	13	.	.	PUNCT
ejpam-3433	294	1	quart	quart	NOUN
ejpam-3433	294	2	.	.	PUNCT
ejpam-3433	295	1	appl	appl	PROPN
ejpam-3433	295	2	.	.	PROPN
ejpam-3433	295	3	math	math	PROPN
ejpam-3433	295	4	.	.	PUNCT
ejpam-3433	295	5	,	,	PUNCT
ejpam-3433	296	1	21:155–160	21:155–160	PROPN
ejpam-3433	296	2	,	,	PUNCT
ejpam-3433	296	3	1963	1963	NUM
ejpam-3433	296	4	.	.	PUNCT
ejpam-3433	297	1	[	[	X
ejpam-3433	297	2	13	13	NUM
ejpam-3433	297	3	]	]	PUNCT
ejpam-3433	297	4	g.	g.	PROPN
ejpam-3433	297	5	chen	chen	PROPN
ejpam-3433	297	6	and	and	CCONJ
ejpam-3433	297	7	j.	j.	PROPN
ejpam-3433	297	8	shen	shen	PROPN
ejpam-3433	297	9	.	.	PUNCT
ejpam-3433	298	1	integral	integral	ADJ
ejpam-3433	298	2	boundary	boundary	ADJ
ejpam-3433	298	3	value	value	NOUN
ejpam-3433	298	4	problems	problem	NOUN
ejpam-3433	298	5	for	for	ADP
ejpam-3433	298	6	first	first	ADJ
ejpam-3433	298	7	-	-	PUNCT
ejpam-3433	298	8	order	order	NOUN
ejpam-3433	298	9	impulsive	impulsive	ADJ
ejpam-3433	298	10	functional	functional	ADJ
ejpam-3433	298	11	differential	differential	ADJ
ejpam-3433	298	12	equations	equation	NOUN
ejpam-3433	298	13	.	.	PUNCT
ejpam-3433	299	1	int	int	NOUN
ejpam-3433	299	2	.	.	PUNCT
ejpam-3433	300	1	j.	j.	PROPN
ejpam-3433	300	2	math	math	PROPN
ejpam-3433	300	3	.	.	PUNCT
ejpam-3433	301	1	anal	anal	PROPN
ejpam-3433	301	2	.	.	PROPN
ejpam-3433	301	3	,	,	PUNCT
ejpam-3433	301	4	1(20):965–974	1(20):965–974	NUM
ejpam-3433	301	5	,	,	PUNCT
ejpam-3433	301	6	2007	2007	NUM
ejpam-3433	301	7	.	.	PUNCT
ejpam-3433	302	1	[	[	X
ejpam-3433	302	2	14	14	NUM
ejpam-3433	302	3	]	]	PUNCT
ejpam-3433	302	4	m.	m.	NOUN
ejpam-3433	302	5	feng	feng	PROPN
ejpam-3433	302	6	,	,	PUNCT
ejpam-3433	302	7	b.	b.	PROPN
ejpam-3433	302	8	du	du	PROPN
ejpam-3433	302	9	,	,	PUNCT
ejpam-3433	302	10	and	and	CCONJ
ejpam-3433	302	11	w.	w.	PROPN
ejpam-3433	302	12	ge	ge	PROPN
ejpam-3433	302	13	.	.	PUNCT
ejpam-3433	303	1	impulsive	impulsive	ADJ
ejpam-3433	303	2	boundary	boundary	ADJ
ejpam-3433	303	3	problems	problem	NOUN
ejpam-3433	303	4	with	with	ADP
ejpam-3433	303	5	integral	integral	ADJ
ejpam-3433	303	6	boundary	boundary	ADJ
ejpam-3433	303	7	conditions	condition	NOUN
ejpam-3433	303	8	and	and	CCONJ
ejpam-3433	303	9	one	one	NUM
ejpam-3433	303	10	-	-	PUNCT
ejpam-3433	303	11	dimensional	dimensional	ADJ
ejpam-3433	303	12	p	p	ADJ
ejpam-3433	303	13	-laplacian	-laplacian	PROPN
ejpam-3433	303	14	.	.	PUNCT
ejpam-3433	304	1	nonlinear	nonlinear	ADJ
ejpam-3433	304	2	anal	anal	PROPN
ejpam-3433	304	3	.	.	PUNCT
ejpam-3433	304	4	,	,	PUNCT
ejpam-3433	304	5	70(9):3119–3126	70(9):3119–3126	PROPN
ejpam-3433	304	6	,	,	PUNCT
ejpam-3433	304	7	2009	2009	NUM
ejpam-3433	304	8	.	.	PUNCT
ejpam-3433	305	1	[	[	X
ejpam-3433	305	2	15	15	NUM
ejpam-3433	305	3	]	]	X
ejpam-3433	305	4	t.	t.	PROPN
ejpam-3433	305	5	jankowski	jankowski	PROPN
ejpam-3433	305	6	.	.	PUNCT
ejpam-3433	306	1	differential	differential	ADJ
ejpam-3433	306	2	equations	equation	NOUN
ejpam-3433	306	3	with	with	ADP
ejpam-3433	306	4	integral	integral	ADJ
ejpam-3433	306	5	boundary	boundary	ADJ
ejpam-3433	306	6	conditions	condition	NOUN
ejpam-3433	306	7	.	.	PUNCT
ejpam-3433	307	1	j.	j.	PROPN
ejpam-3433	307	2	comput	comput	PROPN
ejpam-3433	307	3	.	.	PUNCT
ejpam-3433	308	1	appl	appl	PROPN
ejpam-3433	308	2	.	.	PROPN
ejpam-3433	308	3	math	math	PROPN
ejpam-3433	308	4	.	.	PUNCT
ejpam-3433	308	5	,	,	PUNCT
ejpam-3433	308	6	147(1):1–8	147(1):1–8	NUM
ejpam-3433	308	7	,	,	PUNCT
ejpam-3433	308	8	2002	2002	NUM
ejpam-3433	308	9	.	.	PUNCT
ejpam-3433	309	1	[	[	X
ejpam-3433	309	2	16	16	NUM
ejpam-3433	309	3	]	]	X
ejpam-3433	309	4	r.a	r.a	PROPN
ejpam-3433	309	5	.	.	PROPN
ejpam-3433	309	6	khan	khan	PROPN
ejpam-3433	309	7	.	.	PUNCT
ejpam-3433	310	1	existence	existence	NOUN
ejpam-3433	310	2	and	and	CCONJ
ejpam-3433	310	3	approximation	approximation	NOUN
ejpam-3433	310	4	of	of	ADP
ejpam-3433	310	5	solutions	solution	NOUN
ejpam-3433	310	6	of	of	ADP
ejpam-3433	310	7	nonlinear	nonlinear	ADJ
ejpam-3433	310	8	problems	problem	NOUN
ejpam-3433	310	9	with	with	ADP
ejpam-3433	310	10	integral	integral	ADJ
ejpam-3433	310	11	boundary	boundary	ADJ
ejpam-3433	310	12	conditions	condition	NOUN
ejpam-3433	310	13	.	.	PUNCT
ejpam-3433	311	1	dyn	dyn	NOUN
ejpam-3433	311	2	.	.	PUNCT
ejpam-3433	312	1	syst	syst	PROPN
ejpam-3433	312	2	.	.	PUNCT
ejpam-3433	313	1	appl	appl	PROPN
ejpam-3433	313	2	.	.	PROPN
ejpam-3433	313	3	,	,	PUNCT
ejpam-3433	313	4	14(1):281–296	14(1):281–296	NUM
ejpam-3433	313	5	,	,	PUNCT
ejpam-3433	313	6	2005	2005	NUM
ejpam-3433	313	7	.	.	PUNCT
ejpam-3433	314	1	[	[	X
ejpam-3433	314	2	17	17	NUM
ejpam-3433	314	3	]	]	PUNCT
ejpam-3433	314	4	a.m.	a.m.	PROPN
ejpam-3433	315	1	krall	krall	PROPN
ejpam-3433	315	2	.	.	PUNCT
ejpam-3433	316	1	the	the	DET
ejpam-3433	316	2	adjoint	adjoint	NOUN
ejpam-3433	316	3	of	of	ADP
ejpam-3433	316	4	a	a	DET
ejpam-3433	316	5	differential	differential	ADJ
ejpam-3433	316	6	operator	operator	NOUN
ejpam-3433	316	7	with	with	ADP
ejpam-3433	316	8	integral	integral	ADJ
ejpam-3433	316	9	boundary	boundary	ADJ
ejpam-3433	316	10	conditions	condition	NOUN
ejpam-3433	316	11	.	.	PUNCT
ejpam-3433	317	1	proc	proc	NOUN
ejpam-3433	317	2	.	.	PUNCT
ejpam-3433	318	1	am	be	AUX
ejpam-3433	318	2	.	.	PUNCT
ejpam-3433	319	1	math	math	NOUN
ejpam-3433	319	2	.	.	PUNCT
ejpam-3433	320	1	soc	soc	PROPN
ejpam-3433	320	2	.	.	PUNCT
ejpam-3433	320	3	,	,	PUNCT
ejpam-3433	320	4	16(4):738–742	16(4):738–742	NUM
ejpam-3433	320	5	,	,	PUNCT
ejpam-3433	320	6	1965	1965	NUM
ejpam-3433	320	7	.	.	PUNCT
ejpam-3433	321	1	[	[	X
ejpam-3433	321	2	18	18	NUM
ejpam-3433	321	3	]	]	X
ejpam-3433	321	4	r.	r.	PROPN
ejpam-3433	321	5	ma	ma	PROPN
ejpam-3433	321	6	.	.	PROPN
ejpam-3433	321	7	existence	existence	PROPN
ejpam-3433	321	8	theorems	theorem	VERB
ejpam-3433	321	9	for	for	ADP
ejpam-3433	321	10	a	a	DET
ejpam-3433	321	11	second	second	ADJ
ejpam-3433	321	12	-	-	PUNCT
ejpam-3433	321	13	order	order	NOUN
ejpam-3433	321	14	three	three	NUM
ejpam-3433	321	15	-	-	PUNCT
ejpam-3433	321	16	point	point	NOUN
ejpam-3433	321	17	boundary	boundary	ADJ
ejpam-3433	321	18	value	value	NOUN
ejpam-3433	321	19	problem	problem	NOUN
ejpam-3433	321	20	.	.	PUNCT
ejpam-3433	322	1	j.	j.	PROPN
ejpam-3433	322	2	math	math	PROPN
ejpam-3433	322	3	.	.	PUNCT
ejpam-3433	323	1	anal	anal	PROPN
ejpam-3433	323	2	.	.	PUNCT
ejpam-3433	324	1	appl	appl	PROPN
ejpam-3433	324	2	,	,	PUNCT
ejpam-3433	324	3	212(2):430–442	212(2):430–442	NUM
ejpam-3433	324	4	,	,	PUNCT
ejpam-3433	324	5	1997	1997	NUM
ejpam-3433	324	6	.	.	PUNCT
ejpam-3433	325	1	[	[	X
ejpam-3433	325	2	19	19	NUM
ejpam-3433	325	3	]	]	X
ejpam-3433	325	4	r.	r.	PROPN
ejpam-3433	325	5	ma	ma	PROPN
ejpam-3433	325	6	.	.	PROPN
ejpam-3433	325	7	existence	existence	PROPN
ejpam-3433	325	8	and	and	CCONJ
ejpam-3433	325	9	uniqueness	uniqueness	NOUN
ejpam-3433	325	10	of	of	ADP
ejpam-3433	325	11	solution	solution	NOUN
ejpam-3433	325	12	to	to	ADP
ejpam-3433	325	13	first	first	ADJ
ejpam-3433	325	14	-	-	PUNCT
ejpam-3433	325	15	order	order	NOUN
ejpam-3433	325	16	three	three	NUM
ejpam-3433	325	17	-	-	PUNCT
ejpam-3433	325	18	point	point	NOUN
ejpam-3433	325	19	boundary	boundary	ADJ
ejpam-3433	325	20	value	value	NOUN
ejpam-3433	325	21	problems	problem	NOUN
ejpam-3433	325	22	.	.	PUNCT
ejpam-3433	326	1	applied	apply	VERB
ejpam-3433	326	2	mathematics	mathematics	NOUN
ejpam-3433	326	3	letters	letter	NOUN
ejpam-3433	326	4	,	,	PUNCT
ejpam-3433	326	5	15(2):211–216	15(2):211–216	PROPN
ejpam-3433	326	6	,	,	PUNCT
ejpam-3433	326	7	2002	2002	NUM
ejpam-3433	326	8	.	.	PUNCT
ejpam-3433	327	1	[	[	X
ejpam-3433	327	2	20	20	NUM
ejpam-3433	327	3	]	]	X
ejpam-3433	327	4	m.j	m.j	PROPN
ejpam-3433	327	5	.	.	PROPN
ejpam-3433	327	6	mardanov	mardanov	PROPN
ejpam-3433	327	7	and	and	CCONJ
ejpam-3433	327	8	y.a	y.a	PROPN
ejpam-3433	327	9	.	.	PROPN
ejpam-3433	327	10	sharifov	sharifov	PROPN
ejpam-3433	327	11	.	.	PUNCT
ejpam-3433	328	1	existence	existence	NOUN
ejpam-3433	328	2	results	result	VERB
ejpam-3433	328	3	for	for	ADP
ejpam-3433	328	4	first	first	ADJ
ejpam-3433	328	5	-	-	PUNCT
ejpam-3433	328	6	order	order	NOUN
ejpam-3433	328	7	nonlinear	nonlinear	ADJ
ejpam-3433	328	8	impulsive	impulsive	ADJ
ejpam-3433	328	9	differential	differential	ADJ
ejpam-3433	328	10	equations	equation	NOUN
ejpam-3433	328	11	with	with	ADP
ejpam-3433	328	12	nonlocal	nonlocal	ADJ
ejpam-3433	328	13	boundary	boundary	ADJ
ejpam-3433	328	14	conditions	condition	NOUN
ejpam-3433	328	15	.	.	PUNCT
ejpam-3433	329	1	aip	aip	PROPN
ejpam-3433	329	2	conference	conference	NOUN
ejpam-3433	329	3	proceedings	proceeding	NOUN
ejpam-3433	329	4	,	,	PUNCT
ejpam-3433	329	5	1676(1):020015	1676(1):020015	PROPN
ejpam-3433	329	6	,	,	PUNCT
ejpam-3433	329	7	2015	2015	NUM
ejpam-3433	329	8	.	.	PUNCT
ejpam-3433	330	1	[	[	X
ejpam-3433	330	2	21	21	NUM
ejpam-3433	330	3	]	]	X
ejpam-3433	330	4	m.j	m.j	PROPN
ejpam-3433	330	5	.	.	PROPN
ejpam-3433	330	6	mardanov	mardanov	PROPN
ejpam-3433	330	7	and	and	CCONJ
ejpam-3433	330	8	y.a	y.a	PROPN
ejpam-3433	330	9	.	.	PROPN
ejpam-3433	330	10	sharifov	sharifov	PROPN
ejpam-3433	330	11	.	.	PUNCT
ejpam-3433	331	1	existence	existence	NOUN
ejpam-3433	331	2	and	and	CCONJ
ejpam-3433	331	3	uniqueness	uniqueness	NOUN
ejpam-3433	331	4	of	of	ADP
ejpam-3433	331	5	solutions	solution	NOUN
ejpam-3433	331	6	of	of	ADP
ejpam-3433	331	7	the	the	DET
ejpam-3433	331	8	first	first	ADJ
ejpam-3433	331	9	order	order	NOUN
ejpam-3433	331	10	nonlinear	nonlinear	ADJ
ejpam-3433	331	11	differential	differential	ADJ
ejpam-3433	331	12	equations	equation	NOUN
ejpam-3433	331	13	with	with	ADP
ejpam-3433	331	14	multipoint	multipoint	NOUN
ejpam-3433	331	15	boundary	boundary	ADJ
ejpam-3433	331	16	conditions	condition	NOUN
ejpam-3433	331	17	.	.	PUNCT
ejpam-3433	332	1	optimal	optimal	ADJ
ejpam-3433	332	2	control	control	NOUN
ejpam-3433	332	3	and	and	CCONJ
ejpam-3433	332	4	differential	differential	NOUN
ejpam-3433	332	5	games	game	NOUN
ejpam-3433	332	6	,	,	PUNCT
ejpam-3433	332	7	materials	material	NOUN
ejpam-3433	332	8	of	of	ADP
ejpam-3433	332	9	the	the	DET
ejpam-3433	332	10	international	international	ADJ
ejpam-3433	332	11	conference	conference	NOUN
ejpam-3433	332	12	dedicated	dedicate	VERB
ejpam-3433	332	13	references	reference	NOUN
ejpam-3433	332	14	770	770	NUM
ejpam-3433	332	15	to	to	ADP
ejpam-3433	332	16	the	the	DET
ejpam-3433	332	17	110th	110th	ADJ
ejpam-3433	332	18	anniversary	anniversary	NOUN
ejpam-3433	332	19	of	of	ADP
ejpam-3433	332	20	lev	lev	PROPN
ejpam-3433	332	21	semenovichpontryagin	semenovichpontryagin	PROPN
ejpam-3433	332	22	,	,	PUNCT
ejpam-3433	332	23	moscow	moscow	PROPN
ejpam-3433	332	24	,	,	PUNCT
ejpam-3433	332	25	december	december	PROPN
ejpam-3433	332	26	12	12	NUM
ejpam-3433	332	27	-	-	SYM
ejpam-3433	332	28	14	14	NUM
ejpam-3433	332	29	,	,	PUNCT
ejpam-3433	332	30	pages	page	NOUN
ejpam-3433	332	31	172–174	172–174	NUM
ejpam-3433	332	32	,	,	PUNCT
ejpam-3433	332	33	2018	2018	NUM
ejpam-3433	332	34	.	.	PUNCT
ejpam-3433	333	1	[	[	X
ejpam-3433	333	2	22	22	NUM
ejpam-3433	333	3	]	]	X
ejpam-3433	333	4	m.j	m.j	PROPN
ejpam-3433	333	5	.	.	PROPN
ejpam-3433	333	6	mardanov	mardanov	PROPN
ejpam-3433	333	7	,	,	PUNCT
ejpam-3433	333	8	y.a	y.a	PROPN
ejpam-3433	333	9	.	.	PROPN
ejpam-3433	333	10	sharifov	sharifov	PROPN
ejpam-3433	333	11	,	,	PUNCT
ejpam-3433	333	12	and	and	CCONJ
ejpam-3433	333	13	h.h	h.h	PROPN
ejpam-3433	333	14	.	.	PROPN
ejpam-3433	333	15	molaei	molaei	PROPN
ejpam-3433	333	16	.	.	PUNCT
ejpam-3433	334	1	existence	existence	NOUN
ejpam-3433	334	2	and	and	CCONJ
ejpam-3433	334	3	uniqueness	uniqueness	NOUN
ejpam-3433	334	4	of	of	ADP
ejpam-3433	334	5	solutions	solution	NOUN
ejpam-3433	334	6	for	for	ADP
ejpam-3433	334	7	first	first	ADJ
ejpam-3433	334	8	-	-	PUNCT
ejpam-3433	334	9	order	order	NOUN
ejpam-3433	334	10	nonlinear	nonlinear	ADJ
ejpam-3433	334	11	differential	differential	ADJ
ejpam-3433	334	12	equations	equation	NOUN
ejpam-3433	334	13	with	with	ADP
ejpam-3433	334	14	two	two	NUM
ejpam-3433	334	15	-	-	PUNCT
ejpam-3433	334	16	point	point	NOUN
ejpam-3433	334	17	and	and	CCONJ
ejpam-3433	334	18	integral	integral	ADJ
ejpam-3433	334	19	boundary	boundary	ADJ
ejpam-3433	334	20	conditions	condition	NOUN
ejpam-3433	334	21	.	.	PUNCT
ejpam-3433	335	1	electronic	electronic	ADJ
ejpam-3433	335	2	journal	journal	NOUN
ejpam-3433	335	3	of	of	ADP
ejpam-3433	335	4	differential	differential	ADJ
ejpam-3433	335	5	equations	equation	NOUN
ejpam-3433	335	6	,	,	PUNCT
ejpam-3433	335	7	2014(259):1–8	2014(259):1–8	NUM
ejpam-3433	335	8	,	,	PUNCT
ejpam-3433	335	9	2014	2014	NUM
ejpam-3433	335	10	.	.	PUNCT
ejpam-3433	336	1	[	[	X
ejpam-3433	336	2	23	23	NUM
ejpam-3433	336	3	]	]	X
ejpam-3433	336	4	m.j	m.j	PROPN
ejpam-3433	336	5	.	.	PROPN
ejpam-3433	336	6	mardanov	mardanov	PROPN
ejpam-3433	336	7	,	,	PUNCT
ejpam-3433	336	8	y.a	y.a	PROPN
ejpam-3433	336	9	.	.	PROPN
ejpam-3433	336	10	sharifov	sharifov	PROPN
ejpam-3433	336	11	,	,	PUNCT
ejpam-3433	336	12	and	and	CCONJ
ejpam-3433	336	13	f.	f.	PROPN
ejpam-3433	336	14	zeynalli	zeynalli	PROPN
ejpam-3433	336	15	.	.	PUNCT
ejpam-3433	337	1	existence	existence	NOUN
ejpam-3433	337	2	and	and	CCONJ
ejpam-3433	337	3	uniqueness	uniqueness	NOUN
ejpam-3433	337	4	of	of	ADP
ejpam-3433	337	5	solutions	solution	NOUN
ejpam-3433	337	6	of	of	ADP
ejpam-3433	337	7	the	the	DET
ejpam-3433	337	8	first	first	ADJ
ejpam-3433	337	9	order	order	NOUN
ejpam-3433	337	10	nonlinear	nonlinear	ADJ
ejpam-3433	337	11	integro	integro	ADJ
ejpam-3433	337	12	-	-	PUNCT
ejpam-3433	337	13	differential	differential	NOUN
ejpam-3433	337	14	equations	equation	NOUN
ejpam-3433	337	15	with	with	ADP
ejpam-3433	337	16	three	three	NUM
ejpam-3433	337	17	-	-	PUNCT
ejpam-3433	337	18	point	point	NOUN
ejpam-3433	337	19	boundary	boundary	ADJ
ejpam-3433	337	20	conditions	condition	NOUN
ejpam-3433	337	21	.	.	PUNCT
ejpam-3433	337	22	.	.	PUNCT
ejpam-3433	338	1	aip	aip	PROPN
ejpam-3433	338	2	conference	conference	NOUN
ejpam-3433	338	3	proceedings	proceeding	NOUN
ejpam-3433	338	4	,	,	PUNCT
ejpam-3433	338	5	1997(1):020028	1997(1):020028	NUM
ejpam-3433	338	6	,	,	PUNCT
ejpam-3433	338	7	2018	2018	NUM
ejpam-3433	338	8	.	.	PUNCT
ejpam-3433	339	1	[	[	X
ejpam-3433	339	2	24	24	NUM
ejpam-3433	339	3	]	]	PUNCT
ejpam-3433	339	4	m.	m.	NOUN
ejpam-3433	339	5	mohamed	mohamed	PROPN
ejpam-3433	339	6	,	,	PUNCT
ejpam-3433	339	7	h.b	h.b	PROPN
ejpam-3433	339	8	.	.	PROPN
ejpam-3433	339	9	thompson	thompson	PROPN
ejpam-3433	339	10	,	,	PUNCT
ejpam-3433	339	11	and	and	CCONJ
ejpam-3433	339	12	m.	m.	PROPN
ejpam-3433	339	13	jusoh	jusoh	PROPN
ejpam-3433	339	14	.	.	PUNCT
ejpam-3433	340	1	first	first	ADJ
ejpam-3433	340	2	-	-	PUNCT
ejpam-3433	340	3	order	order	NOUN
ejpam-3433	340	4	three	three	NUM
ejpam-3433	340	5	-	-	PUNCT
ejpam-3433	340	6	point	point	NOUN
ejpam-3433	340	7	boundary	boundary	ADJ
ejpam-3433	340	8	value	value	NOUN
ejpam-3433	340	9	problems	problem	NOUN
ejpam-3433	340	10	at	at	ADP
ejpam-3433	340	11	resonance	resonance	NOUN
ejpam-3433	340	12	.	.	PUNCT
ejpam-3433	341	1	journal	journal	NOUN
ejpam-3433	341	2	of	of	ADP
ejpam-3433	341	3	computational	computational	ADJ
ejpam-3433	341	4	and	and	CCONJ
ejpam-3433	341	5	applied	applied	ADJ
ejpam-3433	341	6	mathematic	mathematic	ADJ
ejpam-3433	341	7	,	,	PUNCT
ejpam-3433	341	8	235(16):4796–4801	235(16):4796–4801	NUM
ejpam-3433	341	9	,	,	PUNCT
ejpam-3433	341	10	2011	2011	NUM
ejpam-3433	341	11	.	.	PUNCT
ejpam-3433	342	1	[	[	X
ejpam-3433	342	2	25	25	NUM
ejpam-3433	342	3	]	]	X
ejpam-3433	342	4	k.n	k.n	PROPN
ejpam-3433	342	5	.	.	PROPN
ejpam-3433	342	6	murty	murty	PROPN
ejpam-3433	342	7	and	and	CCONJ
ejpam-3433	342	8	s.	s.	PROPN
ejpam-3433	342	9	sivasundaram	sivasundaram	PROPN
ejpam-3433	342	10	.	.	PUNCT
ejpam-3433	343	1	existence	existence	NOUN
ejpam-3433	343	2	and	and	CCONJ
ejpam-3433	343	3	uniqueness	uniqueness	NOUN
ejpam-3433	343	4	of	of	ADP
ejpam-3433	343	5	solution	solution	NOUN
ejpam-3433	343	6	to	to	ADP
ejpam-3433	343	7	three	three	NUM
ejpam-3433	343	8	-	-	PUNCT
ejpam-3433	343	9	point	point	NOUN
ejpam-3433	343	10	boundary	boundary	ADJ
ejpam-3433	343	11	value	value	NOUN
ejpam-3433	343	12	problems	problem	NOUN
ejpam-3433	343	13	associated	associate	VERB
ejpam-3433	343	14	withnonlinear	withnonlinear	NOUN
ejpam-3433	343	15	first	first	ADJ
ejpam-3433	343	16	order	order	NOUN
ejpam-3433	343	17	systems	system	NOUN
ejpam-3433	343	18	of	of	ADP
ejpam-3433	343	19	differential	differential	ADJ
ejpam-3433	343	20	equations	equation	NOUN
ejpam-3433	343	21	.	.	PUNCT
ejpam-3433	344	1	j.	j.	PROPN
ejpam-3433	344	2	math	math	PROPN
ejpam-3433	344	3	.	.	PUNCT
ejpam-3433	345	1	anal	anal	PROPN
ejpam-3433	345	2	.	.	PUNCT
ejpam-3433	346	1	appl	appl	PROPN
ejpam-3433	346	2	,	,	PUNCT
ejpam-3433	346	3	173(1):158–164	173(1):158–164	NUM
ejpam-3433	346	4	,	,	PUNCT
ejpam-3433	346	5	1993	1993	NUM
ejpam-3433	346	6	.	.	PUNCT
ejpam-3433	347	1	[	[	X
ejpam-3433	347	2	26	26	NUM
ejpam-3433	347	3	]	]	X
ejpam-3433	347	4	j.j	j.j	PROPN
ejpam-3433	347	5	.	.	PROPN
ejpam-3433	347	6	nieto	nieto	PROPN
ejpam-3433	347	7	and	and	CCONJ
ejpam-3433	347	8	c.c	c.c	PROPN
ejpam-3433	347	9	.	.	PROPN
ejpam-3433	347	10	tisdell	tisdell	PROPN
ejpam-3433	347	11	.	.	PUNCT
ejpam-3433	348	1	existence	existence	NOUN
ejpam-3433	348	2	and	and	CCONJ
ejpam-3433	348	3	uniqueness	uniqueness	NOUN
ejpam-3433	348	4	of	of	ADP
ejpam-3433	348	5	solutions	solution	NOUN
ejpam-3433	348	6	to	to	ADP
ejpam-3433	348	7	first	first	ADJ
ejpam-3433	348	8	–	–	PUNCT
ejpam-3433	348	9	order	order	NOUN
ejpam-3433	348	10	systems	system	NOUN
ejpam-3433	348	11	of	of	ADP
ejpam-3433	348	12	nonlinear	nonlinear	ADJ
ejpam-3433	348	13	impulsive	impulsive	ADJ
ejpam-3433	348	14	boundary	boundary	ADJ
ejpam-3433	348	15	–	–	PUNCT
ejpam-3433	348	16	value	value	NOUN
ejpam-3433	348	17	problems	problem	NOUN
ejpam-3433	348	18	with	with	ADP
ejpam-3433	348	19	sub	sub	NOUN
ejpam-3433	348	20	–	–	PUNCT
ejpam-3433	348	21	,	,	PUNCT
ejpam-3433	348	22	super	super	ADJ
ejpam-3433	348	23	-	-	ADJ
ejpam-3433	348	24	linear	linear	ADJ
ejpam-3433	348	25	or	or	CCONJ
ejpam-3433	348	26	linear	linear	ADJ
ejpam-3433	348	27	growth	growth	NOUN
ejpam-3433	348	28	.	.	PUNCT
ejpam-3433	349	1	electronic	electronic	ADJ
ejpam-3433	349	2	journal	journal	NOUN
ejpam-3433	349	3	of	of	ADP
ejpam-3433	349	4	differential	differential	ADJ
ejpam-3433	349	5	equations	equation	NOUN
ejpam-3433	349	6	,	,	PUNCT
ejpam-3433	349	7	2007(105):1–14	2007(105):1–14	NUM
ejpam-3433	349	8	,	,	PUNCT
ejpam-3433	349	9	2007	2007	NUM
ejpam-3433	349	10	.	.	PUNCT
ejpam-3433	350	1	[	[	X
ejpam-3433	350	2	27	27	NUM
ejpam-3433	350	3	]	]	X
ejpam-3433	350	4	y.a	y.a	PROPN
ejpam-3433	350	5	.	.	PROPN
ejpam-3433	350	6	sharifov	sharifov	PROPN
ejpam-3433	350	7	and	and	CCONJ
ejpam-3433	350	8	k.e	k.e	PROPN
ejpam-3433	350	9	.	.	PROPN
ejpam-3433	350	10	ismayilova	ismayilova	PROPN
ejpam-3433	350	11	.	.	PUNCT
ejpam-3433	351	1	existence	existence	NOUN
ejpam-3433	351	2	and	and	CCONJ
ejpam-3433	351	3	uniqueness	uniqueness	NOUN
ejpam-3433	351	4	of	of	ADP
ejpam-3433	351	5	solutions	solution	NOUN
ejpam-3433	351	6	to	to	PART
ejpam-3433	351	7	threepoint	threepoint	VERB
ejpam-3433	351	8	boundary	boundary	ADJ
ejpam-3433	351	9	value	value	NOUN
ejpam-3433	351	10	problems	problem	NOUN
ejpam-3433	351	11	.	.	PUNCT
ejpam-3433	352	1	coia	coia	PROPN
ejpam-3433	352	2	2018	2018	NUM
ejpam-3433	352	3	,	,	PUNCT
ejpam-3433	352	4	11	11	NUM
ejpam-3433	352	5	-	-	SYM
ejpam-3433	352	6	13	13	NUM
ejpam-3433	352	7	july	july	PROPN
ejpam-3433	352	8	2018	2018	NUM
ejpam-3433	352	9	,	,	PUNCT
ejpam-3433	352	10	baku	baku	PROPN
ejpam-3433	352	11	,	,	PUNCT
ejpam-3433	352	12	ii:271–273	ii:271–273	PROPN
ejpam-3433	352	13	,	,	PUNCT
ejpam-3433	352	14	2018	2018	NUM
ejpam-3433	352	15	.	.	PUNCT
ejpam-3433	353	1	[	[	X
ejpam-3433	353	2	28	28	NUM
ejpam-3433	353	3	]	]	X
ejpam-3433	353	4	y.a	y.a	PROPN
ejpam-3433	353	5	.	.	PROPN
ejpam-3433	353	6	sharifov	sharifov	PROPN
ejpam-3433	353	7	,	,	PUNCT
ejpam-3433	353	8	f.m	f.m	PROPN
ejpam-3433	353	9	.	.	PROPN
ejpam-3433	353	10	zeynally	zeynally	ADV
ejpam-3433	353	11	,	,	PUNCT
ejpam-3433	353	12	and	and	CCONJ
ejpam-3433	353	13	zeynally	zeynally	ADV
ejpam-3433	353	14	s.m	s.m	PROPN
ejpam-3433	353	15	.	.	PROPN
ejpam-3433	353	16	existence	existence	NOUN
ejpam-3433	353	17	and	and	CCONJ
ejpam-3433	353	18	uniqueness	uniqueness	NOUN
ejpam-3433	353	19	of	of	ADP
ejpam-3433	353	20	solutions	solution	NOUN
ejpam-3433	353	21	for	for	ADP
ejpam-3433	353	22	nonlinear	nonlinear	ADJ
ejpam-3433	353	23	fractional	fractional	ADJ
ejpam-3433	353	24	differential	differential	ADJ
ejpam-3433	353	25	equations	equation	NOUN
ejpam-3433	353	26	with	with	ADP
ejpam-3433	353	27	two	two	NUM
ejpam-3433	353	28	-	-	PUNCT
ejpam-3433	353	29	point	point	NOUN
ejpam-3433	353	30	boundary	boundary	ADJ
ejpam-3433	353	31	conditions	condition	NOUN
ejpam-3433	353	32	.	.	PUNCT
ejpam-3433	354	1	advanced	advanced	ADJ
ejpam-3433	354	2	mathematical	mathematical	ADJ
ejpam-3433	354	3	models	model	NOUN
ejpam-3433	354	4	,	,	PUNCT
ejpam-3433	354	5	applications	application	NOUN
ejpam-3433	354	6	,	,	PUNCT
ejpam-3433	354	7	3(1):54–62	3(1):54–62	NUM
ejpam-3433	354	8	,	,	PUNCT
ejpam-3433	354	9	2018	2018	NUM
ejpam-3433	354	10	.	.	PUNCT