id	sid	tid	token	lemma	pos
ejpam-3698	1	1	european	european	PROPN
ejpam-3698	1	2	journal	journal	PROPN
ejpam-3698	1	3	of	of	ADP
ejpam-3698	1	4	pure	pure	ADJ
ejpam-3698	1	5	and	and	CCONJ
ejpam-3698	1	6	applied	apply	VERB
ejpam-3698	1	7	mathematics	mathematic	NOUN
ejpam-3698	1	8	vol	vol	NOUN
ejpam-3698	1	9	.	.	PROPN
ejpam-3698	2	1	13	13	NUM
ejpam-3698	2	2	,	,	PUNCT
ejpam-3698	2	3	no	no	INTJ
ejpam-3698	2	4	.	.	NOUN
ejpam-3698	2	5	3	3	NUM
ejpam-3698	2	6	,	,	PUNCT
ejpam-3698	2	7	2020	2020	NUM
ejpam-3698	2	8	,	,	PUNCT
ejpam-3698	2	9	414	414	NUM
ejpam-3698	2	10	-	-	SYM
ejpam-3698	2	11	426	426	NUM
ejpam-3698	2	12	issn	issn	PROPN
ejpam-3698	2	13	1307	1307	NUM
ejpam-3698	2	14	-	-	SYM
ejpam-3698	2	15	5543	5543	NUM
ejpam-3698	2	16	–	–	PUNCT
ejpam-3698	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3698	2	18	published	publish	VERB
ejpam-3698	2	19	by	by	ADP
ejpam-3698	2	20	new	new	PROPN
ejpam-3698	2	21	york	york	PROPN
ejpam-3698	2	22	business	business	PROPN
ejpam-3698	2	23	global	global	ADJ
ejpam-3698	2	24	existence	existence	NOUN
ejpam-3698	2	25	and	and	CCONJ
ejpam-3698	2	26	uniqueness	uniqueness	NOUN
ejpam-3698	2	27	of	of	ADP
ejpam-3698	2	28	solutions	solution	NOUN
ejpam-3698	2	29	for	for	ADP
ejpam-3698	2	30	the	the	DET
ejpam-3698	2	31	first	first	ADJ
ejpam-3698	2	32	order	order	NOUN
ejpam-3698	2	33	non	non	ADJ
ejpam-3698	2	34	-	-	ADJ
ejpam-3698	2	35	linear	linear	ADJ
ejpam-3698	2	36	differential	differential	ADJ
ejpam-3698	2	37	equations	equation	NOUN
ejpam-3698	2	38	with	with	ADP
ejpam-3698	2	39	multi	multi	ADJ
ejpam-3698	2	40	-	-	ADJ
ejpam-3698	2	41	point	point	ADJ
ejpam-3698	2	42	boundary	boundary	ADJ
ejpam-3698	2	43	conditions	condition	NOUN
ejpam-3698	2	44	m.j	m.j	PROPN
ejpam-3698	2	45	.	.	PROPN
ejpam-3698	2	46	mardanov1	mardanov1	PROPN
ejpam-3698	2	47	,	,	PUNCT
ejpam-3698	2	48	y.a.sharifov1,2,∗	y.a.sharifov1,2,∗	PROPN
ejpam-3698	2	49	,	,	PUNCT
ejpam-3698	2	50	h.n	h.n	PROPN
ejpam-3698	2	51	.	.	PROPN
ejpam-3698	2	52	aliyev3	aliyev3	PROPN
ejpam-3698	2	53	,	,	PUNCT
ejpam-3698	2	54	r.a	r.a	PROPN
ejpam-3698	2	55	.	.	PROPN
ejpam-3698	2	56	sardarova4	sardarova4	PROPN
ejpam-3698	2	57	1	1	NUM
ejpam-3698	2	58	institute	institute	PROPN
ejpam-3698	2	59	of	of	ADP
ejpam-3698	2	60	mathematics	mathematics	PROPN
ejpam-3698	2	61	and	and	CCONJ
ejpam-3698	2	62	mechanics	mechanic	NOUN
ejpam-3698	2	63	,	,	PUNCT
ejpam-3698	2	64	anas	anas	PROPN
ejpam-3698	2	65	,	,	PUNCT
ejpam-3698	2	66	baku	baku	PROPN
ejpam-3698	2	67	,	,	PUNCT
ejpam-3698	2	68	azerbaijan	azerbaijan	PROPN
ejpam-3698	2	69	2	2	NUM
ejpam-3698	2	70	baku	baku	PROPN
ejpam-3698	2	71	state	state	PROPN
ejpam-3698	2	72	university	university	PROPN
ejpam-3698	2	73	baku	baku	PROPN
ejpam-3698	2	74	,	,	PUNCT
ejpam-3698	2	75	azerbaijan	azerbaijan	PROPN
ejpam-3698	2	76	3	3	NUM
ejpam-3698	2	77	baku	baku	PROPN
ejpam-3698	2	78	engineering	engineering	PROPN
ejpam-3698	2	79	university	university	PROPN
ejpam-3698	2	80	,	,	PUNCT
ejpam-3698	2	81	khirdalan	khirdalan	PROPN
ejpam-3698	2	82	city	city	PROPN
ejpam-3698	2	83	,	,	PUNCT
ejpam-3698	2	84	azerbaijan	azerbaijan	PROPN
ejpam-3698	2	85	4	4	NUM
ejpam-3698	2	86	azerbaijan	azerbaijan	PROPN
ejpam-3698	2	87	state	state	PROPN
ejpam-3698	2	88	university	university	PROPN
ejpam-3698	2	89	of	of	ADP
ejpam-3698	2	90	economics	economics	PROPN
ejpam-3698	2	91	(	(	PUNCT
ejpam-3698	2	92	unec	unec	PROPN
ejpam-3698	2	93	)	)	PUNCT
ejpam-3698	2	94	,	,	PUNCT
ejpam-3698	2	95	baku	baku	PROPN
ejpam-3698	2	96	,	,	PUNCT
ejpam-3698	2	97	azerbaijan	azerbaijan	PROPN
ejpam-3698	2	98	abstract	abstract	NOUN
ejpam-3698	2	99	.	.	PUNCT
ejpam-3698	3	1	this	this	DET
ejpam-3698	3	2	article	article	NOUN
ejpam-3698	3	3	discusses	discuss	VERB
ejpam-3698	3	4	the	the	DET
ejpam-3698	3	5	existence	existence	NOUN
ejpam-3698	3	6	and	and	CCONJ
ejpam-3698	3	7	uniqueness	uniqueness	NOUN
ejpam-3698	3	8	of	of	ADP
ejpam-3698	3	9	solutions	solution	NOUN
ejpam-3698	3	10	for	for	ADP
ejpam-3698	3	11	the	the	DET
ejpam-3698	3	12	system	system	NOUN
ejpam-3698	3	13	of	of	ADP
ejpam-3698	3	14	nonlinear	nonlinear	ADJ
ejpam-3698	3	15	first	first	ADJ
ejpam-3698	3	16	order	order	NOUN
ejpam-3698	3	17	ordinary	ordinary	ADJ
ejpam-3698	3	18	differential	differential	ADJ
ejpam-3698	3	19	equations	equation	NOUN
ejpam-3698	3	20	with	with	ADP
ejpam-3698	3	21	multipoint	multipoint	NOUN
ejpam-3698	3	22	boundary	boundary	ADJ
ejpam-3698	3	23	conditions	condition	NOUN
ejpam-3698	3	24	.	.	PUNCT
ejpam-3698	4	1	the	the	DET
ejpam-3698	4	2	green	green	ADJ
ejpam-3698	4	3	function	function	NOUN
ejpam-3698	4	4	is	be	AUX
ejpam-3698	4	5	constructed	construct	VERB
ejpam-3698	4	6	,	,	PUNCT
ejpam-3698	4	7	and	and	CCONJ
ejpam-3698	4	8	the	the	DET
ejpam-3698	4	9	problem	problem	NOUN
ejpam-3698	4	10	is	be	AUX
ejpam-3698	4	11	reduced	reduce	VERB
ejpam-3698	4	12	to	to	ADP
ejpam-3698	4	13	the	the	DET
ejpam-3698	4	14	equivalent	equivalent	ADJ
ejpam-3698	4	15	integral	integral	ADJ
ejpam-3698	4	16	equation	equation	NOUN
ejpam-3698	4	17	.	.	PUNCT
ejpam-3698	5	1	existence	existence	NOUN
ejpam-3698	5	2	and	and	CCONJ
ejpam-3698	5	3	uniqueness	uniqueness	NOUN
ejpam-3698	5	4	of	of	ADP
ejpam-3698	5	5	the	the	DET
ejpam-3698	5	6	solution	solution	NOUN
ejpam-3698	5	7	to	to	ADP
ejpam-3698	5	8	this	this	DET
ejpam-3698	5	9	problem	problem	NOUN
ejpam-3698	5	10	is	be	AUX
ejpam-3698	5	11	studied	study	VERB
ejpam-3698	5	12	using	use	VERB
ejpam-3698	5	13	the	the	DET
ejpam-3698	5	14	banach	banach	NOUN
ejpam-3698	5	15	contraction	contraction	NOUN
ejpam-3698	5	16	mapping	mapping	NOUN
ejpam-3698	5	17	principle	principle	NOUN
ejpam-3698	5	18	and	and	CCONJ
ejpam-3698	5	19	schaefer	schaefer	PROPN
ejpam-3698	5	20	’s	’s	PART
ejpam-3698	5	21	fixed	fix	VERB
ejpam-3698	5	22	point	point	NOUN
ejpam-3698	5	23	theorem	theorem	VERB
ejpam-3698	5	24	.	.	PROPN
ejpam-3698	5	25	2020	2020	NUM
ejpam-3698	5	26	mathematics	mathematics	PROPN
ejpam-3698	5	27	subject	subject	NOUN
ejpam-3698	5	28	classifications	classification	NOUN
ejpam-3698	5	29	:	:	PUNCT
ejpam-3698	5	30	34a12	34a12	NUM
ejpam-3698	5	31	,	,	PUNCT
ejpam-3698	5	32	34b10	34b10	NUM
ejpam-3698	5	33	,	,	PUNCT
ejpam-3698	5	34	34b15	34b15	NUM
ejpam-3698	5	35	key	key	ADJ
ejpam-3698	5	36	words	word	NOUN
ejpam-3698	5	37	and	and	CCONJ
ejpam-3698	5	38	phrases	phrase	NOUN
ejpam-3698	5	39	:	:	PUNCT
ejpam-3698	5	40	multipoint	multipoint	NOUN
ejpam-3698	5	41	boundary	boundary	ADJ
ejpam-3698	5	42	conditions	condition	NOUN
ejpam-3698	5	43	,	,	PUNCT
ejpam-3698	5	44	existence	existence	NOUN
ejpam-3698	5	45	and	and	CCONJ
ejpam-3698	5	46	uniqueness	uniqueness	ADJ
ejpam-3698	5	47	solutions	solution	NOUN
ejpam-3698	5	48	,	,	PUNCT
ejpam-3698	5	49	fixed	fix	VERB
ejpam-3698	5	50	point	point	NOUN
ejpam-3698	5	51	theorems	theorem	NOUN
ejpam-3698	5	52	,	,	PUNCT
ejpam-3698	5	53	first	first	ADJ
ejpam-3698	5	54	order	order	NOUN
ejpam-3698	5	55	differential	differential	ADJ
ejpam-3698	5	56	equations	equation	NOUN
ejpam-3698	5	57	,	,	PUNCT
ejpam-3698	5	58	schaefer	schaefer	PROPN
ejpam-3698	5	59	’s	’s	PART
ejpam-3698	5	60	fixed	fix	VERB
ejpam-3698	5	61	point	point	NOUN
ejpam-3698	5	62	theorem	theorem	VERB
ejpam-3698	5	63	.	.	PROPN
ejpam-3698	6	1	1	1	NUM
ejpam-3698	6	2	.	.	X
ejpam-3698	7	1	introduction	introduction	NOUN
ejpam-3698	7	2	and	and	CCONJ
ejpam-3698	7	3	problem	problem	NOUN
ejpam-3698	7	4	statement	statement	NOUN
ejpam-3698	7	5	multipoint	multipoint	NOUN
ejpam-3698	7	6	boundary	boundary	ADJ
ejpam-3698	7	7	value	value	NOUN
ejpam-3698	7	8	problems	problem	NOUN
ejpam-3698	7	9	for	for	ADP
ejpam-3698	7	10	the	the	DET
ejpam-3698	7	11	ordinary	ordinary	ADJ
ejpam-3698	7	12	differential	differential	ADJ
ejpam-3698	7	13	equations	equation	NOUN
ejpam-3698	7	14	(	(	PUNCT
ejpam-3698	7	15	odes	ode	NOUN
ejpam-3698	7	16	)	)	PUNCT
ejpam-3698	7	17	arise	arise	NOUN
ejpam-3698	7	18	in	in	ADP
ejpam-3698	7	19	modeling	model	VERB
ejpam-3698	7	20	the	the	DET
ejpam-3698	7	21	broad	broad	ADJ
ejpam-3698	7	22	class	class	NOUN
ejpam-3698	7	23	of	of	ADP
ejpam-3698	7	24	natural	natural	ADJ
ejpam-3698	7	25	processes	process	NOUN
ejpam-3698	7	26	.	.	PUNCT
ejpam-3698	8	1	for	for	ADP
ejpam-3698	8	2	example	example	NOUN
ejpam-3698	8	3	,	,	PUNCT
ejpam-3698	8	4	if	if	SCONJ
ejpam-3698	8	5	to	to	PART
ejpam-3698	8	6	consider	consider	VERB
ejpam-3698	8	7	the	the	DET
ejpam-3698	8	8	dynamical	dynamical	ADJ
ejpam-3698	8	9	system	system	NOUN
ejpam-3698	8	10	with	with	ADP
ejpam-3698	8	11	n	n	PRON
ejpam-3698	8	12	degrees	degree	NOUN
ejpam-3698	8	13	of	of	ADP
ejpam-3698	8	14	freedom	freedom	NOUN
ejpam-3698	8	15	,	,	PUNCT
ejpam-3698	8	16	exactly	exactly	ADV
ejpam-3698	8	17	n	n	NUM
ejpam-3698	8	18	states	state	NOUN
ejpam-3698	8	19	observed	observe	VERB
ejpam-3698	8	20	at	at	ADP
ejpam-3698	8	21	n	n	CCONJ
ejpam-3698	8	22	different	different	ADJ
ejpam-3698	8	23	instants	instant	NOUN
ejpam-3698	8	24	of	of	ADP
ejpam-3698	8	25	time	time	NOUN
ejpam-3698	8	26	,	,	PUNCT
ejpam-3698	8	27	then	then	ADV
ejpam-3698	8	28	the	the	DET
ejpam-3698	8	29	mathematical	mathematical	ADJ
ejpam-3698	8	30	description	description	NOUN
ejpam-3698	8	31	of	of	ADP
ejpam-3698	8	32	this	this	DET
ejpam-3698	8	33	system	system	NOUN
ejpam-3698	8	34	leads	lead	VERB
ejpam-3698	8	35	to	to	ADP
ejpam-3698	8	36	the	the	DET
ejpam-3698	8	37	multipoint	multipoint	NOUN
ejpam-3698	8	38	boundary	boundary	ADJ
ejpam-3698	8	39	value	value	NOUN
ejpam-3698	8	40	problem	problem	NOUN
ejpam-3698	8	41	.	.	PUNCT
ejpam-3698	9	1	as	as	ADP
ejpam-3698	9	2	another	another	DET
ejpam-3698	9	3	example	example	NOUN
ejpam-3698	9	4	we	we	PRON
ejpam-3698	9	5	can	can	AUX
ejpam-3698	9	6	note	note	VERB
ejpam-3698	9	7	the	the	DET
ejpam-3698	9	8	vibrations	vibration	NOUN
ejpam-3698	9	9	of	of	ADP
ejpam-3698	9	10	a	a	DET
ejpam-3698	9	11	uniform	uniform	ADJ
ejpam-3698	9	12	cross	cross	ADJ
ejpam-3698	9	13	-	-	ADJ
ejpam-3698	9	14	section	section	NOUN
ejpam-3698	9	15	string	string	NOUN
ejpam-3698	9	16	composed	compose	VERB
ejpam-3698	9	17	of	of	ADP
ejpam-3698	9	18	n	n	DET
ejpam-3698	9	19	parts	part	NOUN
ejpam-3698	9	20	of	of	ADP
ejpam-3698	9	21	different	different	ADJ
ejpam-3698	9	22	densities	density	NOUN
ejpam-3698	9	23	and	and	CCONJ
ejpam-3698	9	24	also	also	ADV
ejpam-3698	9	25	some	some	DET
ejpam-3698	9	26	problems	problem	NOUN
ejpam-3698	9	27	in	in	ADP
ejpam-3698	9	28	the	the	DET
ejpam-3698	9	29	theory	theory	NOUN
ejpam-3698	9	30	of	of	ADP
ejpam-3698	9	31	elastic	elastic	ADJ
ejpam-3698	9	32	stability	stability	NOUN
ejpam-3698	9	33	[	[	X
ejpam-3698	9	34	29	29	NUM
ejpam-3698	9	35	]	]	PUNCT
ejpam-3698	9	36	.	.	PUNCT
ejpam-3698	10	1	as	as	ADP
ejpam-3698	10	2	another	another	DET
ejpam-3698	10	3	example	example	NOUN
ejpam-3698	10	4	we	we	PRON
ejpam-3698	10	5	can	can	AUX
ejpam-3698	10	6	note	note	VERB
ejpam-3698	10	7	the	the	DET
ejpam-3698	10	8	vibrations	vibration	NOUN
ejpam-3698	10	9	of	of	ADP
ejpam-3698	10	10	a	a	DET
ejpam-3698	10	11	uniform	uniform	ADJ
ejpam-3698	10	12	cross	cross	ADJ
ejpam-3698	10	13	-	-	ADJ
ejpam-3698	10	14	section	section	NOUN
ejpam-3698	10	15	string	string	NOUN
ejpam-3698	10	16	composed	compose	VERB
ejpam-3698	10	17	of	of	ADP
ejpam-3698	10	18	n	n	DET
ejpam-3698	10	19	parts	part	NOUN
ejpam-3698	10	20	of	of	ADP
ejpam-3698	10	21	different	different	ADJ
ejpam-3698	10	22	densities	density	NOUN
ejpam-3698	10	23	and	and	CCONJ
ejpam-3698	10	24	also	also	ADV
ejpam-3698	10	25	some	some	DET
ejpam-3698	10	26	problems	problem	NOUN
ejpam-3698	10	27	in	in	ADP
ejpam-3698	10	28	the	the	DET
ejpam-3698	10	29	theory	theory	NOUN
ejpam-3698	10	30	of	of	ADP
ejpam-3698	10	31	elastic	elastic	ADJ
ejpam-3698	10	32	stability	stability	NOUN
ejpam-3698	10	33	[	[	X
ejpam-3698	10	34	29	29	NUM
ejpam-3698	10	35	]	]	PUNCT
ejpam-3698	10	36	.	.	PUNCT
ejpam-3698	11	1	in	in	ADP
ejpam-3698	11	2	some	some	DET
ejpam-3698	11	3	cases	case	NOUN
ejpam-3698	11	4	multipoint	multipoint	VERB
ejpam-3698	11	5	boundary	boundary	ADJ
ejpam-3698	11	6	value	value	NOUN
ejpam-3698	11	7	problems	problem	NOUN
ejpam-3698	11	8	also	also	ADV
ejpam-3698	11	9	arise	arise	VERB
ejpam-3698	11	10	when	when	SCONJ
ejpam-3698	11	11	discrediting	discredit	VERB
ejpam-3698	11	12	the	the	DET
ejpam-3698	11	13	boundary	boundary	ADJ
ejpam-3698	11	14	value	value	NOUN
ejpam-3698	11	15	problems	problem	NOUN
ejpam-3698	11	16	for	for	ADP
ejpam-3698	11	17	the	the	DET
ejpam-3698	11	18	partial	partial	ADJ
ejpam-3698	11	19	differential	differential	NOUN
ejpam-3698	11	20	equations	equation	NOUN
ejpam-3698	11	21	.	.	PUNCT
ejpam-3698	12	1	due	due	ADP
ejpam-3698	12	2	to	to	ADP
ejpam-3698	12	3	these	these	PRON
ejpam-3698	12	4	and	and	CCONJ
ejpam-3698	12	5	many	many	ADJ
ejpam-3698	12	6	other	other	ADJ
ejpam-3698	12	7	strong	strong	ADJ
ejpam-3698	12	8	relation	relation	NOUN
ejpam-3698	12	9	with	with	ADP
ejpam-3698	12	10	a	a	DET
ejpam-3698	12	11	∗corresponding	∗corresponde	VERB
ejpam-3698	12	12	author	author	NOUN
ejpam-3698	12	13	.	.	PUNCT
ejpam-3698	13	1	doi	doi	NOUN
ejpam-3698	13	2	:	:	PUNCT
ejpam-3698	13	3	https://doi.org/10.29020/nybg.ejpam.v13i3.3698	https://doi.org/10.29020/nybg.ejpam.v13i3.3698	PROPN
ejpam-3698	13	4	email	email	NOUN
ejpam-3698	13	5	addresses	address	VERB
ejpam-3698	13	6	:	:	PUNCT
ejpam-3698	14	1	misirmardanov@yahoo.com	misirmardanov@yahoo.com	X
ejpam-3698	14	2	(	(	PUNCT
ejpam-3698	14	3	m.j	m.j	PROPN
ejpam-3698	14	4	.	.	PROPN
ejpam-3698	14	5	mardanov	mardanov	PROPN
ejpam-3698	14	6	)	)	PUNCT
ejpam-3698	14	7	,	,	PUNCT
ejpam-3698	14	8	sharifov22@rambler.ru	sharifov22@rambler.ru	PROPN
ejpam-3698	14	9	(	(	PUNCT
ejpam-3698	14	10	y.a.sharifov	y.a.sharifov	PROPN
ejpam-3698	14	11	)	)	PUNCT
ejpam-3698	14	12	,	,	PUNCT
ejpam-3698	14	13	hualiyev@beu.edu.az	hualiyev@beu.edu.az	NOUN
ejpam-3698	14	14	(	(	PUNCT
ejpam-3698	14	15	h.n	h.n	PROPN
ejpam-3698	14	16	.	.	PROPN
ejpam-3698	14	17	aliyev	aliyev	PROPN
ejpam-3698	14	18	)	)	PUNCT
ejpam-3698	14	19	,	,	PUNCT
ejpam-3698	14	20	sardarova.rita.77@gmail.com	sardarova.rita.77@gmail.com	PROPN
ejpam-3698	14	21	(	(	PUNCT
ejpam-3698	14	22	r.a	r.a	PROPN
ejpam-3698	14	23	.	.	PROPN
ejpam-3698	14	24	sardarova	sardarova	PROPN
ejpam-3698	14	25	)	)	PUNCT
ejpam-3698	14	26	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-3698	14	27	414	414	NUM
ejpam-3698	15	1	c	c	NOUN
ejpam-3698	15	2	©	©	PROPN
ejpam-3698	15	3	2020	2020	NUM
ejpam-3698	15	4	ejpam	ejpam	VERB
ejpam-3698	15	5	all	all	DET
ejpam-3698	15	6	rights	right	NOUN
ejpam-3698	15	7	reserved	reserve	VERB
ejpam-3698	15	8	.	.	PUNCT
ejpam-3698	16	1	y.a.sharifov	y.a.sharifov	PROPN
ejpam-3698	16	2	et	et	PROPN
ejpam-3698	16	3	al	al	PROPN
ejpam-3698	16	4	.	.	PUNCT
ejpam-3698	16	5	/	/	SYM
ejpam-3698	16	6	eur	eur	PROPN
ejpam-3698	16	7	.	.	PUNCT
ejpam-3698	17	1	j.	j.	PROPN
ejpam-3698	17	2	pure	pure	PROPN
ejpam-3698	17	3	appl	appl	PROPN
ejpam-3698	17	4	.	.	PROPN
ejpam-3698	17	5	math	math	PROPN
ejpam-3698	17	6	,	,	PUNCT
ejpam-3698	17	7	13	13	NUM
ejpam-3698	17	8	(	(	PUNCT
ejpam-3698	17	9	3	3	NUM
ejpam-3698	17	10	)	)	PUNCT
ejpam-3698	17	11	(	(	PUNCT
ejpam-3698	17	12	2020	2020	NUM
ejpam-3698	17	13	)	)	PUNCT
ejpam-3698	17	14	,	,	PUNCT
ejpam-3698	17	15	414	414	NUM
ejpam-3698	17	16	-	-	SYM
ejpam-3698	17	17	426	426	NUM
ejpam-3698	17	18	415	415	NUM
ejpam-3698	17	19	broad	broad	ADJ
ejpam-3698	17	20	range	range	NOUN
ejpam-3698	17	21	of	of	ADP
ejpam-3698	17	22	applications	application	NOUN
ejpam-3698	17	23	in	in	ADP
ejpam-3698	17	24	different	different	ADJ
ejpam-3698	17	25	fields	field	NOUN
ejpam-3698	17	26	of	of	ADP
ejpam-3698	17	27	physics	physics	NOUN
ejpam-3698	17	28	and	and	CCONJ
ejpam-3698	17	29	mathematics	mathematic	NOUN
ejpam-3698	17	30	such	such	ADJ
ejpam-3698	17	31	problems	problem	NOUN
ejpam-3698	17	32	are	be	AUX
ejpam-3698	17	33	under	under	ADP
ejpam-3698	17	34	the	the	DET
ejpam-3698	17	35	intensive	intensive	ADJ
ejpam-3698	17	36	focus	focus	NOUN
ejpam-3698	17	37	of	of	ADP
ejpam-3698	17	38	many	many	ADJ
ejpam-3698	17	39	researchers	researcher	NOUN
ejpam-3698	17	40	[	[	X
ejpam-3698	17	41	9	9	NUM
ejpam-3698	17	42	,	,	PUNCT
ejpam-3698	17	43	10	10	NUM
ejpam-3698	17	44	]	]	PUNCT
ejpam-3698	17	45	.	.	PUNCT
ejpam-3698	18	1	it	it	PRON
ejpam-3698	18	2	should	should	AUX
ejpam-3698	18	3	be	be	AUX
ejpam-3698	18	4	noted	note	VERB
ejpam-3698	18	5	that	that	SCONJ
ejpam-3698	18	6	the	the	DET
ejpam-3698	18	7	multipoint	multipoint	NOUN
ejpam-3698	18	8	boundary	boundary	ADJ
ejpam-3698	18	9	value	value	NOUN
ejpam-3698	18	10	problems	problem	NOUN
ejpam-3698	18	11	have	have	AUX
ejpam-3698	18	12	been	be	AUX
ejpam-3698	18	13	well	well	ADV
ejpam-3698	18	14	studied	study	VERB
ejpam-3698	18	15	for	for	ADP
ejpam-3698	18	16	the	the	DET
ejpam-3698	18	17	second	second	ADJ
ejpam-3698	18	18	order	order	NOUN
ejpam-3698	18	19	differential	differential	ADJ
ejpam-3698	18	20	equations	equation	NOUN
ejpam-3698	18	21	(	(	PUNCT
ejpam-3698	18	22	see	see	VERB
ejpam-3698	18	23	[	[	X
ejpam-3698	18	24	4	4	NUM
ejpam-3698	18	25	,	,	PUNCT
ejpam-3698	18	26	11–13	11–13	NUM
ejpam-3698	18	27	,	,	PUNCT
ejpam-3698	18	28	22	22	NUM
ejpam-3698	18	29	,	,	PUNCT
ejpam-3698	18	30	24	24	NUM
ejpam-3698	18	31	]	]	PUNCT
ejpam-3698	18	32	and	and	CCONJ
ejpam-3698	18	33	references	reference	NOUN
ejpam-3698	18	34	therein	therein	ADV
ejpam-3698	18	35	)	)	PUNCT
ejpam-3698	18	36	.	.	PUNCT
ejpam-3698	19	1	these	these	DET
ejpam-3698	19	2	works	work	NOUN
ejpam-3698	19	3	were	be	AUX
ejpam-3698	19	4	mainly	mainly	ADV
ejpam-3698	19	5	initiated	initiate	VERB
ejpam-3698	19	6	by	by	ADP
ejpam-3698	19	7	ilin	ilin	PROPN
ejpam-3698	19	8	and	and	CCONJ
ejpam-3698	19	9	moiseev	moiseev	ADJ
ejpam-3698	20	1	[	[	X
ejpam-3698	20	2	12	12	NUM
ejpam-3698	20	3	]	]	PUNCT
ejpam-3698	20	4	.	.	PUNCT
ejpam-3698	21	1	since	since	SCONJ
ejpam-3698	21	2	then	then	ADV
ejpam-3698	21	3	,	,	PUNCT
ejpam-3698	21	4	nonlinear	nonlinear	ADJ
ejpam-3698	21	5	multipoint	multipoint	NOUN
ejpam-3698	21	6	boundary	boundary	ADJ
ejpam-3698	21	7	-	-	PUNCT
ejpam-3698	21	8	value	value	NOUN
ejpam-3698	21	9	problems	problem	NOUN
ejpam-3698	21	10	have	have	AUX
ejpam-3698	21	11	been	be	AUX
ejpam-3698	21	12	studied	study	VERB
ejpam-3698	21	13	by	by	ADP
ejpam-3698	21	14	several	several	ADJ
ejpam-3698	21	15	authors	author	NOUN
ejpam-3698	21	16	using	use	VERB
ejpam-3698	21	17	the	the	DET
ejpam-3698	21	18	lerayschauder	lerayschauder	NOUN
ejpam-3698	21	19	continuation	continuation	NOUN
ejpam-3698	21	20	theorem	theorem	NOUN
ejpam-3698	21	21	,	,	PUNCT
ejpam-3698	21	22	leray	leray	ADJ
ejpam-3698	21	23	-	-	PUNCT
ejpam-3698	21	24	schaudern	schaudern	NOUN
ejpam-3698	21	25	nonlinear	nonlinear	ADJ
ejpam-3698	21	26	alternatives	alternative	NOUN
ejpam-3698	21	27	,	,	PUNCT
ejpam-3698	21	28	coincidence	coincidence	NOUN
ejpam-3698	21	29	degree	degree	NOUN
ejpam-3698	21	30	theory	theory	NOUN
ejpam-3698	21	31	,	,	PUNCT
ejpam-3698	21	32	and	and	CCONJ
ejpam-3698	21	33	fixed	fix	VERB
ejpam-3698	21	34	point	point	NOUN
ejpam-3698	21	35	theorem	theorem	VERB
ejpam-3698	21	36	in	in	ADP
ejpam-3698	21	37	cones	cone	NOUN
ejpam-3698	21	38	.	.	PUNCT
ejpam-3698	22	1	however	however	ADV
ejpam-3698	22	2	,	,	PUNCT
ejpam-3698	22	3	for	for	ADP
ejpam-3698	22	4	the	the	DET
ejpam-3698	22	5	first	first	ADJ
ejpam-3698	22	6	order	order	NOUN
ejpam-3698	22	7	differential	differential	ADJ
ejpam-3698	22	8	equations	equation	NOUN
ejpam-3698	22	9	,	,	PUNCT
ejpam-3698	22	10	such	such	ADJ
ejpam-3698	22	11	problems	problem	NOUN
ejpam-3698	22	12	have	have	AUX
ejpam-3698	22	13	been	be	AUX
ejpam-3698	22	14	less	less	ADV
ejpam-3698	22	15	studied	study	VERB
ejpam-3698	22	16	.	.	PUNCT
ejpam-3698	23	1	examples	example	NOUN
ejpam-3698	23	2	of	of	ADP
ejpam-3698	23	3	such	such	ADJ
ejpam-3698	23	4	works	work	NOUN
ejpam-3698	23	5	can	can	AUX
ejpam-3698	23	6	be	be	AUX
ejpam-3698	23	7	shown	show	VERB
ejpam-3698	23	8	[	[	X
ejpam-3698	23	9	1	1	NUM
ejpam-3698	23	10	,	,	PUNCT
ejpam-3698	23	11	3	3	NUM
ejpam-3698	23	12	,	,	PUNCT
ejpam-3698	23	13	15–17	15–17	NUM
ejpam-3698	23	14	,	,	PUNCT
ejpam-3698	23	15	19	19	NUM
ejpam-3698	23	16	,	,	PUNCT
ejpam-3698	23	17	23	23	NUM
ejpam-3698	23	18	,	,	PUNCT
ejpam-3698	23	19	25	25	NUM
ejpam-3698	23	20	,	,	PUNCT
ejpam-3698	23	21	30	30	NUM
ejpam-3698	23	22	,	,	PUNCT
ejpam-3698	23	23	31	31	NUM
ejpam-3698	23	24	]	]	PUNCT
ejpam-3698	23	25	similar	similar	ADJ
ejpam-3698	23	26	problems	problem	NOUN
ejpam-3698	23	27	for	for	ADP
ejpam-3698	23	28	two	two	NUM
ejpam-3698	23	29	-	-	PUNCT
ejpam-3698	23	30	point	point	NOUN
ejpam-3698	23	31	and	and	CCONJ
ejpam-3698	23	32	integral	integral	ADJ
ejpam-3698	23	33	boundary	boundary	ADJ
ejpam-3698	23	34	value	value	NOUN
ejpam-3698	23	35	problems	problem	NOUN
ejpam-3698	23	36	are	be	AUX
ejpam-3698	23	37	considered	consider	VERB
ejpam-3698	23	38	in	in	ADP
ejpam-3698	23	39	[	[	X
ejpam-3698	23	40	2	2	NUM
ejpam-3698	23	41	,	,	PUNCT
ejpam-3698	23	42	5–8	5–8	NUM
ejpam-3698	23	43	,	,	PUNCT
ejpam-3698	23	44	14	14	NUM
ejpam-3698	23	45	,	,	PUNCT
ejpam-3698	23	46	18	18	NUM
ejpam-3698	23	47	,	,	PUNCT
ejpam-3698	23	48	20	20	NUM
ejpam-3698	23	49	,	,	PUNCT
ejpam-3698	23	50	21	21	NUM
ejpam-3698	23	51	,	,	PUNCT
ejpam-3698	23	52	24	24	NUM
ejpam-3698	23	53	,	,	PUNCT
ejpam-3698	23	54	26–28	26–28	NUM
ejpam-3698	23	55	]	]	PUNCT
ejpam-3698	23	56	.	.	PUNCT
ejpam-3698	24	1	note	note	VERB
ejpam-3698	24	2	that	that	SCONJ
ejpam-3698	24	3	the	the	DET
ejpam-3698	24	4	problem	problem	NOUN
ejpam-3698	24	5	under	under	ADP
ejpam-3698	24	6	consideration	consideration	NOUN
ejpam-3698	24	7	in	in	ADP
ejpam-3698	24	8	this	this	DET
ejpam-3698	24	9	work	work	NOUN
ejpam-3698	24	10	was	be	AUX
ejpam-3698	24	11	also	also	ADV
ejpam-3698	24	12	studied	study	VERB
ejpam-3698	24	13	by	by	ADP
ejpam-3698	24	14	m.	m.	NOUN
ejpam-3698	24	15	urabe	urabe	NOUN
ejpam-3698	24	16	.	.	PUNCT
ejpam-3698	25	1	in	in	ADP
ejpam-3698	25	2	[	[	X
ejpam-3698	25	3	30	30	NUM
ejpam-3698	25	4	]	]	PUNCT
ejpam-3698	25	5	he	he	PRON
ejpam-3698	25	6	gives	give	VERB
ejpam-3698	25	7	the	the	DET
ejpam-3698	25	8	similar	similar	ADJ
ejpam-3698	25	9	result	result	NOUN
ejpam-3698	25	10	.	.	PUNCT
ejpam-3698	26	1	but	but	CCONJ
ejpam-3698	26	2	those	those	DET
ejpam-3698	26	3	results	result	NOUN
ejpam-3698	26	4	were	be	AUX
ejpam-3698	26	5	obtained	obtain	VERB
ejpam-3698	26	6	under	under	ADP
ejpam-3698	26	7	more	more	ADV
ejpam-3698	26	8	strong	strong	ADJ
ejpam-3698	26	9	conditions	condition	NOUN
ejpam-3698	26	10	.	.	PUNCT
ejpam-3698	27	1	thus	thus	ADV
ejpam-3698	27	2	he	he	PRON
ejpam-3698	27	3	requires	require	VERB
ejpam-3698	27	4	the	the	DET
ejpam-3698	27	5	existence	existence	NOUN
ejpam-3698	27	6	of	of	ADP
ejpam-3698	27	7	the	the	DET
ejpam-3698	27	8	approximate	approximate	ADJ
ejpam-3698	27	9	solution	solution	NOUN
ejpam-3698	27	10	of	of	ADP
ejpam-3698	27	11	the	the	DET
ejpam-3698	27	12	considered	consider	VERB
ejpam-3698	27	13	problem	problem	NOUN
ejpam-3698	27	14	with	with	ADP
ejpam-3698	27	15	high	high	ADJ
ejpam-3698	27	16	enough	enough	ADJ
ejpam-3698	27	17	accuracy	accuracy	NOUN
ejpam-3698	27	18	that	that	PRON
ejpam-3698	27	19	can	can	AUX
ejpam-3698	27	20	not	not	PART
ejpam-3698	27	21	be	be	AUX
ejpam-3698	27	22	achieved	achieve	VERB
ejpam-3698	27	23	in	in	ADP
ejpam-3698	27	24	many	many	ADJ
ejpam-3698	27	25	cases	case	NOUN
ejpam-3698	27	26	.	.	PUNCT
ejpam-3698	28	1	moreover	moreover	ADV
ejpam-3698	28	2	,	,	PUNCT
ejpam-3698	28	3	the	the	DET
ejpam-3698	28	4	fundamental	fundamental	ADJ
ejpam-3698	28	5	matrix	matrix	NOUN
ejpam-3698	28	6	of	of	ADP
ejpam-3698	28	7	some	some	DET
ejpam-3698	28	8	quasilinear	quasilinear	NOUN
ejpam-3698	28	9	system	system	NOUN
ejpam-3698	28	10	also	also	ADV
ejpam-3698	28	11	should	should	AUX
ejpam-3698	28	12	be	be	AUX
ejpam-3698	28	13	known	know	VERB
ejpam-3698	28	14	in	in	ADP
ejpam-3698	28	15	[	[	X
ejpam-3698	28	16	30	30	NUM
ejpam-3698	28	17	]	]	PUNCT
ejpam-3698	28	18	that	that	PRON
ejpam-3698	28	19	is	be	AUX
ejpam-3698	28	20	difficult	difficult	ADJ
ejpam-3698	28	21	problem	problem	NOUN
ejpam-3698	28	22	itself	itself	PRON
ejpam-3698	28	23	.	.	PUNCT
ejpam-3698	29	1	the	the	DET
ejpam-3698	29	2	results	result	NOUN
ejpam-3698	29	3	in	in	ADP
ejpam-3698	29	4	this	this	DET
ejpam-3698	29	5	work	work	NOUN
ejpam-3698	29	6	are	be	AUX
ejpam-3698	29	7	obtained	obtain	VERB
ejpam-3698	29	8	by	by	ADP
ejpam-3698	29	9	only	only	ADV
ejpam-3698	29	10	the	the	DET
ejpam-3698	29	11	initial	initial	ADJ
ejpam-3698	29	12	data	datum	NOUN
ejpam-3698	29	13	of	of	ADP
ejpam-3698	29	14	the	the	DET
ejpam-3698	29	15	problem	problem	NOUN
ejpam-3698	29	16	and	and	CCONJ
ejpam-3698	29	17	we	we	PRON
ejpam-3698	29	18	do	do	AUX
ejpam-3698	29	19	not	not	PART
ejpam-3698	29	20	need	need	VERB
ejpam-3698	29	21	solving	solve	VERB
ejpam-3698	29	22	any	any	DET
ejpam-3698	29	23	auxiliary	auxiliary	ADJ
ejpam-3698	29	24	problem	problem	NOUN
ejpam-3698	29	25	.	.	PUNCT
ejpam-3698	30	1	in	in	ADP
ejpam-3698	30	2	this	this	DET
ejpam-3698	30	3	work	work	NOUN
ejpam-3698	30	4	for	for	ADP
ejpam-3698	30	5	the	the	DET
ejpam-3698	30	6	first	first	ADJ
ejpam-3698	30	7	time	time	NOUN
ejpam-3698	30	8	green	green	ADJ
ejpam-3698	30	9	function	function	NOUN
ejpam-3698	30	10	is	be	AUX
ejpam-3698	30	11	constructed	construct	VERB
ejpam-3698	30	12	for	for	ADP
ejpam-3698	30	13	the	the	DET
ejpam-3698	30	14	multi	multi	ADJ
ejpam-3698	30	15	-	-	ADJ
ejpam-3698	30	16	point	point	ADJ
ejpam-3698	30	17	boundary	boundary	ADJ
ejpam-3698	30	18	value	value	NOUN
ejpam-3698	30	19	problem	problem	NOUN
ejpam-3698	30	20	.	.	PUNCT
ejpam-3698	31	1	the	the	DET
ejpam-3698	31	2	considered	consider	VERB
ejpam-3698	31	3	problem	problem	NOUN
ejpam-3698	31	4	is	be	AUX
ejpam-3698	31	5	reduced	reduce	VERB
ejpam-3698	31	6	to	to	ADP
ejpam-3698	31	7	the	the	DET
ejpam-3698	31	8	equivalent	equivalent	ADJ
ejpam-3698	31	9	integral	integral	ADJ
ejpam-3698	31	10	equations	equation	NOUN
ejpam-3698	31	11	.	.	PUNCT
ejpam-3698	32	1	then	then	ADV
ejpam-3698	32	2	the	the	DET
ejpam-3698	32	3	existence	existence	NOUN
ejpam-3698	32	4	and	and	CCONJ
ejpam-3698	32	5	uniqueness	uniqueness	NOUN
ejpam-3698	32	6	result	result	NOUN
ejpam-3698	32	7	are	be	AUX
ejpam-3698	32	8	studied	study	VERB
ejpam-3698	32	9	using	use	VERB
ejpam-3698	32	10	the	the	DET
ejpam-3698	32	11	banach	banach	NOUN
ejpam-3698	32	12	contraction	contraction	NOUN
ejpam-3698	32	13	mapping	mapping	NOUN
ejpam-3698	32	14	principle	principle	NOUN
ejpam-3698	32	15	.	.	PUNCT
ejpam-3698	33	1	the	the	DET
ejpam-3698	33	2	existence	existence	NOUN
ejpam-3698	33	3	of	of	ADP
ejpam-3698	33	4	the	the	DET
ejpam-3698	33	5	solution	solution	NOUN
ejpam-3698	33	6	is	be	AUX
ejpam-3698	33	7	also	also	ADV
ejpam-3698	33	8	proved	prove	VERB
ejpam-3698	33	9	by	by	ADP
ejpam-3698	33	10	applying	apply	VERB
ejpam-3698	33	11	schaefer	schaefer	NOUN
ejpam-3698	33	12	’s	’s	PART
ejpam-3698	33	13	fixed	fix	VERB
ejpam-3698	33	14	point	point	NOUN
ejpam-3698	33	15	theorem	theorem	VERB
ejpam-3698	33	16	.	.	PUNCT
ejpam-3698	33	17	consider	consider	VERB
ejpam-3698	33	18	the	the	DET
ejpam-3698	33	19	existence	existence	NOUN
ejpam-3698	33	20	and	and	CCONJ
ejpam-3698	33	21	uniqueness	uniqueness	NOUN
ejpam-3698	33	22	of	of	ADP
ejpam-3698	33	23	solutions	solution	NOUN
ejpam-3698	33	24	of	of	ADP
ejpam-3698	33	25	the	the	DET
ejpam-3698	33	26	nonlinear	nonlinear	ADJ
ejpam-3698	33	27	differential	differential	ADJ
ejpam-3698	33	28	equations	equation	NOUN
ejpam-3698	33	29	of	of	ADP
ejpam-3698	33	30	the	the	DET
ejpam-3698	33	31	type	type	NOUN
ejpam-3698	33	32	ẋ(t	ẋ(t	NOUN
ejpam-3698	33	33	)	)	PUNCT
ejpam-3698	33	34	=	=	PUNCT
ejpam-3698	34	1	f(t	f(t	NOUN
ejpam-3698	34	2	,	,	PUNCT
ejpam-3698	34	3	x	x	NOUN
ejpam-3698	34	4	)	)	PUNCT
ejpam-3698	34	5	,	,	PUNCT
ejpam-3698	34	6	t	t	PROPN
ejpam-3698	34	7	∈	∈	PROPN
ejpam-3698	35	1	[	[	X
ejpam-3698	35	2	0	0	NUM
ejpam-3698	35	3	,	,	PUNCT
ejpam-3698	35	4	t	t	X
ejpam-3698	35	5	]	]	PUNCT
ejpam-3698	35	6	,	,	PUNCT
ejpam-3698	35	7	(	(	PUNCT
ejpam-3698	35	8	1	1	X
ejpam-3698	35	9	)	)	PUNCT
ejpam-3698	35	10	with	with	ADP
ejpam-3698	35	11	multi	multi	ADJ
ejpam-3698	35	12	-	-	ADJ
ejpam-3698	35	13	point	point	ADJ
ejpam-3698	35	14	boundary	boundary	ADJ
ejpam-3698	35	15	conditions	condition	NOUN
ejpam-3698	35	16	m∑	m∑	CCONJ
ejpam-3698	35	17	i=0	i=0	ADJ
ejpam-3698	35	18	lix(ti	lix(ti	NOUN
ejpam-3698	35	19	)	)	PUNCT
ejpam-3698	35	20	=	=	SYM
ejpam-3698	35	21	α	α	X
ejpam-3698	35	22	,	,	PUNCT
ejpam-3698	35	23	(	(	PUNCT
ejpam-3698	35	24	2	2	X
ejpam-3698	35	25	)	)	PUNCT
ejpam-3698	35	26	where	where	SCONJ
ejpam-3698	35	27	li	li	PROPN
ejpam-3698	35	28	,	,	PUNCT
ejpam-3698	35	29	i	i	NOUN
ejpam-3698	35	30	=	=	NOUN
ejpam-3698	35	31	1	1	NUM
ejpam-3698	35	32	,	,	PUNCT
ejpam-3698	35	33	2	2	NUM
ejpam-3698	35	34	,	,	PUNCT
ejpam-3698	35	35	...	...	PUNCT
ejpam-3698	35	36	,	,	PUNCT
ejpam-3698	35	37	m	m	VERB
ejpam-3698	35	38	are	be	AUX
ejpam-3698	35	39	constant	constant	ADJ
ejpam-3698	35	40	square	square	ADJ
ejpam-3698	35	41	matrices	matrix	NOUN
ejpam-3698	35	42	of	of	ADP
ejpam-3698	35	43	order	order	NOUN
ejpam-3698	35	44	n	n	PRON
ejpam-3698	35	45	such	such	ADJ
ejpam-3698	35	46	that	that	DET
ejpam-3698	35	47	detn	detn	NOUN
ejpam-3698	35	48	6=	6=	ADP
ejpam-3698	35	49	0	0	NUM
ejpam-3698	35	50	,	,	PUNCT
ejpam-3698	35	51	n	n	NOUN
ejpam-3698	35	52	=	=	SYM
ejpam-3698	35	53	m∑	m∑	PROPN
ejpam-3698	35	54	i=0	i=0	PROPN
ejpam-3698	35	55	li	li	PROPN
ejpam-3698	35	56	;	;	PUNCT
ejpam-3698	35	57	f	f	X
ejpam-3698	35	58	:	:	PUNCT
ejpam-3698	36	1	[	[	X
ejpam-3698	36	2	0	0	NUM
ejpam-3698	36	3	,	,	PUNCT
ejpam-3698	36	4	t	t	X
ejpam-3698	36	5	]	]	PUNCT
ejpam-3698	36	6	×	×	PROPN
ejpam-3698	36	7	rn	rn	PROPN
ejpam-3698	36	8	→	→	PROPN
ejpam-3698	36	9	rn	rn	PROPN
ejpam-3698	36	10	is	be	AUX
ejpam-3698	36	11	a	a	DET
ejpam-3698	36	12	given	give	VERB
ejpam-3698	36	13	function	function	NOUN
ejpam-3698	36	14	;	;	PUNCT
ejpam-3698	36	15	points	point	VERB
ejpam-3698	36	16	ti	ti	NOUN
ejpam-3698	36	17	,	,	PUNCT
ejpam-3698	36	18	i	i	NOUN
ejpam-3698	36	19	=	=	NOUN
ejpam-3698	36	20	1	1	NUM
ejpam-3698	36	21	,	,	PUNCT
ejpam-3698	36	22	2	2	NUM
ejpam-3698	36	23	,	,	PUNCT
ejpam-3698	36	24	...	...	PUNCT
ejpam-3698	36	25	,	,	PUNCT
ejpam-3698	36	26	m	m	PRON
ejpam-3698	36	27	satisfy	satisfy	VERB
ejpam-3698	36	28	the	the	DET
ejpam-3698	36	29	condition	condition	NOUN
ejpam-3698	36	30	0	0	NUM
ejpam-3698	37	1	=	=	SYM
ejpam-3698	37	2	t0	t0	PROPN
ejpam-3698	37	3	<	<	X
ejpam-3698	37	4	t1	t1	X
ejpam-3698	37	5	<	<	X
ejpam-3698	37	6	·	·	PUNCT
ejpam-3698	37	7	·	·	PUNCT
ejpam-3698	37	8	·	·	PUNCT
ejpam-3698	38	1	<	<	X
ejpam-3698	38	2	tm	tm	PROPN
ejpam-3698	38	3	=	=	PROPN
ejpam-3698	38	4	t	t	PROPN
ejpam-3698	38	5	.	.	PUNCT
ejpam-3698	39	1	we	we	PRON
ejpam-3698	39	2	denote	denote	VERB
ejpam-3698	39	3	by	by	ADP
ejpam-3698	39	4	c([0	c([0	NOUN
ejpam-3698	39	5	,	,	PUNCT
ejpam-3698	39	6	t	t	X
ejpam-3698	39	7	]	]	PUNCT
ejpam-3698	39	8	;	;	PUNCT
ejpam-3698	39	9	rn	rn	X
ejpam-3698	39	10	)	)	PUNCT
ejpam-3698	39	11	the	the	DET
ejpam-3698	39	12	banach	banach	NOUN
ejpam-3698	39	13	space	space	NOUN
ejpam-3698	39	14	of	of	ADP
ejpam-3698	39	15	all	all	DET
ejpam-3698	39	16	continuous	continuous	ADJ
ejpam-3698	39	17	functions	function	NOUN
ejpam-3698	39	18	from	from	ADP
ejpam-3698	39	19	[	[	X
ejpam-3698	39	20	0	0	NUM
ejpam-3698	39	21	,	,	PUNCT
ejpam-3698	39	22	t	t	NOUN
ejpam-3698	39	23	]	]	PUNCT
ejpam-3698	39	24	into	into	ADP
ejpam-3698	39	25	rn	rn	PROPN
ejpam-3698	39	26	with	with	ADP
ejpam-3698	39	27	the	the	DET
ejpam-3698	39	28	norm	norm	NOUN
ejpam-3698	39	29	‖x‖	‖x‖	PROPN
ejpam-3698	39	30	=	=	SYM
ejpam-3698	39	31	max	max	PROPN
ejpam-3698	39	32	{	{	PUNCT
ejpam-3698	39	33	|x(t)|	|x(t)|	PROPN
ejpam-3698	39	34	:	:	PUNCT
ejpam-3698	39	35	t	t	PROPN
ejpam-3698	39	36	∈	∈	PROPN
ejpam-3698	40	1	[	[	X
ejpam-3698	40	2	0	0	NUM
ejpam-3698	40	3	,	,	PUNCT
ejpam-3698	40	4	t	t	X
ejpam-3698	40	5	]	]	PUNCT
ejpam-3698	40	6	}	}	PUNCT
ejpam-3698	40	7	where	where	SCONJ
ejpam-3698	40	8	|·|	|·|	NOUN
ejpam-3698	40	9	is	be	AUX
ejpam-3698	40	10	the	the	DET
ejpam-3698	40	11	norm	norm	NOUN
ejpam-3698	40	12	in	in	ADP
ejpam-3698	40	13	the	the	DET
ejpam-3698	40	14	space	space	NOUN
ejpam-3698	40	15	rn	rn	PROPN
ejpam-3698	40	16	.	.	PUNCT
ejpam-3698	41	1	this	this	DET
ejpam-3698	41	2	paper	paper	NOUN
ejpam-3698	41	3	is	be	AUX
ejpam-3698	41	4	organized	organize	VERB
ejpam-3698	41	5	as	as	SCONJ
ejpam-3698	41	6	follows	follow	VERB
ejpam-3698	41	7	.	.	PUNCT
ejpam-3698	42	1	in	in	ADP
ejpam-3698	42	2	section	section	NOUN
ejpam-3698	42	3	2	2	NUM
ejpam-3698	42	4	we	we	PRON
ejpam-3698	42	5	introduce	introduce	VERB
ejpam-3698	42	6	definitions	definition	NOUN
ejpam-3698	42	7	and	and	CCONJ
ejpam-3698	42	8	lemmas	lemma	NOUN
ejpam-3698	42	9	which	which	PRON
ejpam-3698	42	10	are	be	AUX
ejpam-3698	42	11	the	the	DET
ejpam-3698	42	12	key	key	ADJ
ejpam-3698	42	13	tools	tool	NOUN
ejpam-3698	42	14	for	for	ADP
ejpam-3698	42	15	our	our	PRON
ejpam-3698	42	16	main	main	ADJ
ejpam-3698	42	17	result	result	NOUN
ejpam-3698	42	18	.	.	PUNCT
ejpam-3698	43	1	section	section	NOUN
ejpam-3698	43	2	3	3	NUM
ejpam-3698	43	3	focuses	focus	VERB
ejpam-3698	43	4	the	the	DET
ejpam-3698	43	5	theorems	theorem	NOUN
ejpam-3698	43	6	on	on	ADP
ejpam-3698	43	7	the	the	DET
ejpam-3698	43	8	existence	existence	NOUN
ejpam-3698	43	9	and	and	CCONJ
ejpam-3698	43	10	uniqueness	uniqueness	NOUN
ejpam-3698	43	11	of	of	ADP
ejpam-3698	43	12	the	the	DET
ejpam-3698	43	13	solution	solution	NOUN
ejpam-3698	43	14	of	of	ADP
ejpam-3698	43	15	problem	problem	NOUN
ejpam-3698	43	16	(	(	PUNCT
ejpam-3698	43	17	1)-(2	1)-(2	NUM
ejpam-3698	43	18	)	)	PUNCT
ejpam-3698	43	19	established	establish	VERB
ejpam-3698	43	20	under	under	ADP
ejpam-3698	43	21	some	some	DET
ejpam-3698	43	22	sufficient	sufficient	ADJ
ejpam-3698	43	23	conditions	condition	NOUN
ejpam-3698	43	24	on	on	ADP
ejpam-3698	43	25	the	the	DET
ejpam-3698	43	26	nonlinear	nonlinear	ADJ
ejpam-3698	43	27	terms	term	NOUN
ejpam-3698	43	28	.	.	PUNCT
ejpam-3698	44	1	y.a.sharifov	y.a.sharifov	PROPN
ejpam-3698	44	2	et	et	PROPN
ejpam-3698	44	3	al	al	PROPN
ejpam-3698	44	4	.	.	PUNCT
ejpam-3698	44	5	/	/	SYM
ejpam-3698	44	6	eur	eur	PROPN
ejpam-3698	44	7	.	.	PUNCT
ejpam-3698	45	1	j.	j.	PROPN
ejpam-3698	45	2	pure	pure	PROPN
ejpam-3698	45	3	appl	appl	PROPN
ejpam-3698	45	4	.	.	PROPN
ejpam-3698	45	5	math	math	PROPN
ejpam-3698	45	6	,	,	PUNCT
ejpam-3698	45	7	13	13	NUM
ejpam-3698	45	8	(	(	PUNCT
ejpam-3698	45	9	3	3	NUM
ejpam-3698	45	10	)	)	PUNCT
ejpam-3698	45	11	(	(	PUNCT
ejpam-3698	45	12	2020	2020	NUM
ejpam-3698	45	13	)	)	PUNCT
ejpam-3698	45	14	,	,	PUNCT
ejpam-3698	45	15	414	414	NUM
ejpam-3698	45	16	-	-	SYM
ejpam-3698	45	17	426	426	NUM
ejpam-3698	45	18	416	416	NUM
ejpam-3698	45	19	2	2	NUM
ejpam-3698	45	20	.	.	PUNCT
ejpam-3698	45	21	preliminaries	preliminary	NOUN
ejpam-3698	45	22	we	we	PRON
ejpam-3698	45	23	define	define	VERB
ejpam-3698	45	24	the	the	DET
ejpam-3698	45	25	solution	solution	NOUN
ejpam-3698	45	26	of	of	ADP
ejpam-3698	45	27	problem	problem	NOUN
ejpam-3698	45	28	(	(	PUNCT
ejpam-3698	45	29	1)-(2	1)-(2	NUM
ejpam-3698	45	30	)	)	PUNCT
ejpam-3698	45	31	as	as	SCONJ
ejpam-3698	45	32	follows	follow	VERB
ejpam-3698	45	33	:	:	PUNCT
ejpam-3698	45	34	definition	definition	NOUN
ejpam-3698	45	35	1	1	NUM
ejpam-3698	45	36	.	.	PUNCT
ejpam-3698	46	1	the	the	DET
ejpam-3698	46	2	function	function	NOUN
ejpam-3698	46	3	x	x	X
ejpam-3698	46	4	∈	∈	PROPN
ejpam-3698	46	5	c([0	c([0	PROPN
ejpam-3698	46	6	,	,	PUNCT
ejpam-3698	46	7	t	t	X
ejpam-3698	46	8	]	]	PUNCT
ejpam-3698	46	9	,	,	PUNCT
ejpam-3698	46	10	rn	rn	PROPN
ejpam-3698	46	11	)	)	PUNCT
ejpam-3698	46	12	is	be	AUX
ejpam-3698	46	13	called	call	VERB
ejpam-3698	46	14	a	a	DET
ejpam-3698	46	15	solution	solution	NOUN
ejpam-3698	46	16	of	of	ADP
ejpam-3698	46	17	problem	problem	NOUN
ejpam-3698	46	18	(	(	PUNCT
ejpam-3698	46	19	1)-(2	1)-(2	NUM
ejpam-3698	46	20	)	)	PUNCT
ejpam-3698	46	21	if	if	SCONJ
ejpam-3698	46	22	ẋ(t	ẋ(t	NOUN
ejpam-3698	46	23	)	)	PUNCT
ejpam-3698	46	24	=	=	PUNCT
ejpam-3698	46	25	f(t	f(t	NOUN
ejpam-3698	46	26	,	,	PUNCT
ejpam-3698	46	27	x(t	x(t	PROPN
ejpam-3698	46	28	)	)	PUNCT
ejpam-3698	46	29	)	)	PUNCT
ejpam-3698	46	30	for	for	ADP
ejpam-3698	46	31	each	each	DET
ejpam-3698	46	32	t	t	NOUN
ejpam-3698	46	33	∈	∈	PROPN
ejpam-3698	47	1	[	[	X
ejpam-3698	47	2	0	0	NUM
ejpam-3698	47	3	,	,	PUNCT
ejpam-3698	47	4	t	t	X
ejpam-3698	47	5	]	]	PUNCT
ejpam-3698	47	6	,	,	PUNCT
ejpam-3698	47	7	and	and	CCONJ
ejpam-3698	47	8	boundary	boundary	ADJ
ejpam-3698	47	9	conditions	condition	NOUN
ejpam-3698	47	10	(	(	PUNCT
ejpam-3698	47	11	2	2	X
ejpam-3698	47	12	)	)	PUNCT
ejpam-3698	47	13	are	be	AUX
ejpam-3698	47	14	satisfied	satisfied	ADJ
ejpam-3698	47	15	.	.	PUNCT
ejpam-3698	48	1	for	for	ADP
ejpam-3698	48	2	the	the	DET
ejpam-3698	48	3	sake	sake	NOUN
ejpam-3698	48	4	of	of	ADP
ejpam-3698	48	5	simplicity	simplicity	NOUN
ejpam-3698	48	6	,	,	PUNCT
ejpam-3698	48	7	we	we	PRON
ejpam-3698	48	8	can	can	AUX
ejpam-3698	48	9	consider	consider	VERB
ejpam-3698	48	10	the	the	DET
ejpam-3698	48	11	following	follow	VERB
ejpam-3698	48	12	problem	problem	NOUN
ejpam-3698	48	13	:	:	PUNCT
ejpam-3698	48	14	ẋ	ẋ	PROPN
ejpam-3698	49	1	=	=	SYM
ejpam-3698	49	2	y(t	y(t	PROPN
ejpam-3698	49	3	)	)	PUNCT
ejpam-3698	49	4	,	,	PUNCT
ejpam-3698	49	5	t	t	PROPN
ejpam-3698	49	6	∈	∈	PROPN
ejpam-3698	50	1	[	[	X
ejpam-3698	50	2	0	0	NUM
ejpam-3698	50	3	,	,	PUNCT
ejpam-3698	50	4	t	t	X
ejpam-3698	50	5	]	]	PUNCT
ejpam-3698	50	6	,	,	PUNCT
ejpam-3698	50	7	(	(	PUNCT
ejpam-3698	50	8	3	3	X
ejpam-3698	50	9	)	)	PUNCT
ejpam-3698	50	10	m∑	m∑	CCONJ
ejpam-3698	50	11	i=0	i=0	PROPN
ejpam-3698	50	12	lix(ti	lix(ti	NOUN
ejpam-3698	50	13	)	)	PUNCT
ejpam-3698	51	1	=	=	SYM
ejpam-3698	51	2	α	α	X
ejpam-3698	51	3	.	.	PUNCT
ejpam-3698	52	1	(	(	PUNCT
ejpam-3698	52	2	4	4	X
ejpam-3698	52	3	)	)	PUNCT
ejpam-3698	52	4	lemma	lemma	PROPN
ejpam-3698	52	5	1	1	X
ejpam-3698	52	6	.	.	PUNCT
ejpam-3698	53	1	let	let	VERB
ejpam-3698	53	2	y	y	PROPN
ejpam-3698	53	3	∈	∈	PROPN
ejpam-3698	53	4	c([0	c([0	PROPN
ejpam-3698	53	5	,	,	PUNCT
ejpam-3698	53	6	t	t	X
ejpam-3698	53	7	]	]	PUNCT
ejpam-3698	53	8	,	,	PUNCT
ejpam-3698	53	9	rn	rn	PROPN
ejpam-3698	53	10	)	)	PUNCT
ejpam-3698	53	11	.	.	PUNCT
ejpam-3698	54	1	then	then	ADV
ejpam-3698	54	2	the	the	DET
ejpam-3698	54	3	unique	unique	ADJ
ejpam-3698	54	4	solution	solution	NOUN
ejpam-3698	54	5	x(t	x(t	NOUN
ejpam-3698	54	6	)	)	PUNCT
ejpam-3698	54	7	∈	∈	PROPN
ejpam-3698	54	8	c([0	c([0	PROPN
ejpam-3698	54	9	,	,	PUNCT
ejpam-3698	54	10	t	t	X
ejpam-3698	54	11	]	]	PUNCT
ejpam-3698	54	12	,	,	PUNCT
ejpam-3698	54	13	rn	rn	PROPN
ejpam-3698	54	14	)	)	PUNCT
ejpam-3698	54	15	of	of	ADP
ejpam-3698	54	16	the	the	DET
ejpam-3698	54	17	boundary	boundary	ADJ
ejpam-3698	54	18	value	value	NOUN
ejpam-3698	54	19	problem	problem	NOUN
ejpam-3698	54	20	for	for	ADP
ejpam-3698	54	21	differential	differential	ADJ
ejpam-3698	54	22	equation	equation	NOUN
ejpam-3698	54	23	(	(	PUNCT
ejpam-3698	54	24	3	3	NUM
ejpam-3698	54	25	)	)	PUNCT
ejpam-3698	54	26	with	with	ADP
ejpam-3698	54	27	boundary	boundary	ADJ
ejpam-3698	54	28	conditions	condition	NOUN
ejpam-3698	54	29	(	(	PUNCT
ejpam-3698	54	30	4	4	NUM
ejpam-3698	54	31	)	)	PUNCT
ejpam-3698	54	32	is	be	AUX
ejpam-3698	54	33	given	give	VERB
ejpam-3698	54	34	by	by	ADP
ejpam-3698	54	35	x(t	x(t	PROPN
ejpam-3698	54	36	)	)	PUNCT
ejpam-3698	55	1	=	=	SYM
ejpam-3698	55	2	n−1α+	n−1α+	PROPN
ejpam-3698	55	3	t∫	t∫	PRON
ejpam-3698	55	4	0	0	NUM
ejpam-3698	55	5	g(t	g(t	PROPN
ejpam-3698	55	6	,	,	PUNCT
ejpam-3698	55	7	τ)y(τ)dτ	τ)y(τ)dτ	NOUN
ejpam-3698	55	8	,	,	PUNCT
ejpam-3698	55	9	(	(	PUNCT
ejpam-3698	55	10	5	5	NUM
ejpam-3698	55	11	)	)	PUNCT
ejpam-3698	56	1	where	where	SCONJ
ejpam-3698	56	2	g	g	PROPN
ejpam-3698	56	3	(	(	PUNCT
ejpam-3698	56	4	t	t	PROPN
ejpam-3698	56	5	,	,	PUNCT
ejpam-3698	56	6	τ	τ	X
ejpam-3698	56	7	)	)	PUNCT
ejpam-3698	56	8	=	=	SYM
ejpam-3698	56	9			NUM
ejpam-3698	56	10	g1	g1	PROPN
ejpam-3698	56	11	(	(	PUNCT
ejpam-3698	56	12	t	t	PROPN
ejpam-3698	56	13	,	,	PUNCT
ejpam-3698	56	14	τ	τ	PROPN
ejpam-3698	56	15	)	)	PUNCT
ejpam-3698	56	16	,	,	PUNCT
ejpam-3698	56	17	t	t	PROPN
ejpam-3698	56	18	∈	∈	PROPN
ejpam-3698	57	1	[	[	X
ejpam-3698	57	2	0	0	NUM
ejpam-3698	57	3	,	,	PUNCT
ejpam-3698	57	4	t1	t1	NOUN
ejpam-3698	57	5	]	]	PUNCT
ejpam-3698	57	6	,	,	PUNCT
ejpam-3698	57	7	g2	g2	PROPN
ejpam-3698	57	8	(	(	PUNCT
ejpam-3698	57	9	t	t	PROPN
ejpam-3698	57	10	,	,	PUNCT
ejpam-3698	57	11	τ	τ	PROPN
ejpam-3698	57	12	)	)	PUNCT
ejpam-3698	57	13	,	,	PUNCT
ejpam-3698	57	14	t	t	PROPN
ejpam-3698	57	15	∈	∈	PROPN
ejpam-3698	57	16	(	(	PUNCT
ejpam-3698	57	17	t1	t1	NOUN
ejpam-3698	57	18	,	,	PUNCT
ejpam-3698	57	19	t2	t2	PROPN
ejpam-3698	57	20	]	]	PUNCT
ejpam-3698	57	21	,	,	PUNCT
ejpam-3698	57	22	................................	................................	PUNCT
ejpam-3698	58	1	gm	gm	PROPN
ejpam-3698	58	2	(	(	PUNCT
ejpam-3698	58	3	t	t	PROPN
ejpam-3698	58	4	,	,	PUNCT
ejpam-3698	58	5	τ	τ	PROPN
ejpam-3698	58	6	)	)	PUNCT
ejpam-3698	58	7	,	,	PUNCT
ejpam-3698	58	8	t	t	PROPN
ejpam-3698	58	9	∈	∈	PROPN
ejpam-3698	58	10	(	(	PUNCT
ejpam-3698	58	11	tm−1	tm−1	NOUN
ejpam-3698	58	12	,	,	PUNCT
ejpam-3698	58	13	t	t	X
ejpam-3698	58	14	]	]	PUNCT
ejpam-3698	58	15	,	,	PUNCT
ejpam-3698	58	16	with	with	ADP
ejpam-3698	58	17	gi	gi	PROPN
ejpam-3698	58	18	(	(	PUNCT
ejpam-3698	58	19	t	t	PROPN
ejpam-3698	58	20	,	,	PUNCT
ejpam-3698	58	21	τ	τ	X
ejpam-3698	58	22	)	)	PUNCT
ejpam-3698	58	23	=	=	SYM
ejpam-3698	59	1			X
ejpam-3698	59	2	n−1l0	n−1l0	PROPN
ejpam-3698	59	3	,	,	PUNCT
ejpam-3698	59	4	t0	t0	PROPN
ejpam-3698	59	5	≤	≤	NUM
ejpam-3698	59	6	τ	τ	PROPN
ejpam-3698	59	7	≤	≤	PROPN
ejpam-3698	59	8	t1	t1	PROPN
ejpam-3698	59	9	,	,	PUNCT
ejpam-3698	59	10	n−1	n−1	PROPN
ejpam-3698	59	11	(	(	PUNCT
ejpam-3698	59	12	1∑	1∑	NOUN
ejpam-3698	59	13	k=0	k=0	PROPN
ejpam-3698	59	14	lk	lk	PROPN
ejpam-3698	59	15	)	)	PUNCT
ejpam-3698	59	16	,	,	PUNCT
ejpam-3698	59	17	t1	t1	NOUN
ejpam-3698	59	18	<	<	X
ejpam-3698	59	19	τ	τ	PROPN
ejpam-3698	59	20	≤	≤	PROPN
ejpam-3698	59	21	t2	t2	NOUN
ejpam-3698	59	22	,	,	PUNCT
ejpam-3698	59	23	..............................................	..............................................	PUNCT
ejpam-3698	60	1	n−1	n−1	PROPN
ejpam-3698	60	2	(	(	PUNCT
ejpam-3698	60	3	i−1∑	i−1∑	NUM
ejpam-3698	60	4	k=0	k=0	PROPN
ejpam-3698	60	5	lk	lk	NOUN
ejpam-3698	60	6	)	)	PUNCT
ejpam-3698	60	7	,	,	PUNCT
ejpam-3698	60	8	ti−1	ti−1	VERB
ejpam-3698	60	9	<	<	X
ejpam-3698	60	10	τ	τ	X
ejpam-3698	60	11	≤	≤	X
ejpam-3698	60	12	ti	ti	NOUN
ejpam-3698	60	13	,	,	PUNCT
ejpam-3698	60	14	n−1	n−1	PROPN
ejpam-3698	60	15	(	(	PUNCT
ejpam-3698	60	16	i∑	i∑	PROPN
ejpam-3698	60	17	k=0	k=0	PROPN
ejpam-3698	60	18	lk	lk	NOUN
ejpam-3698	60	19	)	)	PUNCT
ejpam-3698	60	20	,	,	PUNCT
ejpam-3698	60	21	ti	ti	X
ejpam-3698	60	22	<	<	X
ejpam-3698	60	23	τ	τ	PROPN
ejpam-3698	60	24	≤	≤	PROPN
ejpam-3698	60	25	t	t	PROPN
ejpam-3698	60	26	,	,	PUNCT
ejpam-3698	60	27	−n−1	−n−1	NUM
ejpam-3698	60	28	(	(	PUNCT
ejpam-3698	60	29	m∑	m∑	INTJ
ejpam-3698	60	30	k	k	X
ejpam-3698	60	31	=	=	PROPN
ejpam-3698	60	32	i+1	i+1	X
ejpam-3698	60	33	li	li	NOUN
ejpam-3698	60	34	)	)	PUNCT
ejpam-3698	60	35	,	,	PUNCT
ejpam-3698	60	36	t	t	X
ejpam-3698	60	37	<	<	X
ejpam-3698	60	38	τ	τ	PROPN
ejpam-3698	60	39	≤	≤	PROPN
ejpam-3698	60	40	ti+1	ti+1	NOUN
ejpam-3698	60	41	,	,	PUNCT
ejpam-3698	60	42	−n−1	−n−1	NUM
ejpam-3698	60	43	(	(	PUNCT
ejpam-3698	60	44	m∑	m∑	ADV
ejpam-3698	60	45	k	k	X
ejpam-3698	60	46	=	=	PROPN
ejpam-3698	60	47	i+2	i+2	X
ejpam-3698	60	48	li	li	PROPN
ejpam-3698	60	49	)	)	PUNCT
ejpam-3698	60	50	,	,	PUNCT
ejpam-3698	60	51	ti+1	ti+1	X
ejpam-3698	60	52	<	<	X
ejpam-3698	60	53	τ	τ	X
ejpam-3698	60	54	≤	≤	PROPN
ejpam-3698	60	55	ti+2	ti+2	PROPN
ejpam-3698	60	56	,	,	PUNCT
ejpam-3698	60	57	...................................................	...................................................	PUNCT
ejpam-3698	60	58	−n−1lm	−n−1lm	NOUN
ejpam-3698	60	59	,	,	PUNCT
ejpam-3698	60	60	tm−1	tm−1	NOUN
ejpam-3698	60	61	<	<	X
ejpam-3698	60	62	τ	τ	PROPN
ejpam-3698	60	63	≤	≤	PROPN
ejpam-3698	60	64	t	t	PROPN
ejpam-3698	60	65	,	,	PUNCT
ejpam-3698	60	66	i	i	PRON
ejpam-3698	60	67	=	=	NOUN
ejpam-3698	60	68	1	1	NUM
ejpam-3698	60	69	,	,	PUNCT
ejpam-3698	60	70	2	2	NUM
ejpam-3698	60	71	,	,	PUNCT
ejpam-3698	60	72	...	...	PUNCT
ejpam-3698	60	73	,	,	PUNCT
ejpam-3698	60	74	m.	m.	NOUN
ejpam-3698	60	75	y.a.sharifov	y.a.sharifov	PROPN
ejpam-3698	60	76	et	et	PROPN
ejpam-3698	60	77	al	al	PROPN
ejpam-3698	60	78	.	.	PUNCT
ejpam-3698	60	79	/	/	SYM
ejpam-3698	60	80	eur	eur	PROPN
ejpam-3698	60	81	.	.	PUNCT
ejpam-3698	61	1	j.	j.	PROPN
ejpam-3698	61	2	pure	pure	PROPN
ejpam-3698	61	3	appl	appl	PROPN
ejpam-3698	61	4	.	.	PROPN
ejpam-3698	61	5	math	math	PROPN
ejpam-3698	61	6	,	,	PUNCT
ejpam-3698	61	7	13	13	NUM
ejpam-3698	61	8	(	(	PUNCT
ejpam-3698	61	9	3	3	NUM
ejpam-3698	61	10	)	)	PUNCT
ejpam-3698	61	11	(	(	PUNCT
ejpam-3698	61	12	2020	2020	NUM
ejpam-3698	61	13	)	)	PUNCT
ejpam-3698	61	14	,	,	PUNCT
ejpam-3698	61	15	414	414	NUM
ejpam-3698	61	16	-	-	SYM
ejpam-3698	61	17	426	426	NUM
ejpam-3698	61	18	417	417	NUM
ejpam-3698	61	19	proof	proof	NOUN
ejpam-3698	61	20	.	.	PUNCT
ejpam-3698	62	1	if	if	SCONJ
ejpam-3698	62	2	the	the	DET
ejpam-3698	62	3	function	function	NOUN
ejpam-3698	62	4	x	x	NOUN
ejpam-3698	62	5	=	=	SYM
ejpam-3698	62	6	x	x	X
ejpam-3698	62	7	(	(	PUNCT
ejpam-3698	62	8	·	·	PUNCT
ejpam-3698	62	9	)	)	PUNCT
ejpam-3698	62	10	is	be	AUX
ejpam-3698	62	11	a	a	DET
ejpam-3698	62	12	solution	solution	NOUN
ejpam-3698	62	13	of	of	ADP
ejpam-3698	62	14	equation	equation	NOUN
ejpam-3698	62	15	(	(	PUNCT
ejpam-3698	62	16	3	3	NUM
ejpam-3698	62	17	)	)	PUNCT
ejpam-3698	62	18	,	,	PUNCT
ejpam-3698	62	19	then	then	ADV
ejpam-3698	62	20	for	for	ADP
ejpam-3698	62	21	t	t	PROPN
ejpam-3698	62	22	∈	∈	PROPN
ejpam-3698	62	23	(	(	PUNCT
ejpam-3698	62	24	0	0	NUM
ejpam-3698	62	25	,	,	PUNCT
ejpam-3698	62	26	t	t	NOUN
ejpam-3698	62	27	)	)	PUNCT
ejpam-3698	62	28	x(t	x(t	PROPN
ejpam-3698	62	29	)	)	PUNCT
ejpam-3698	62	30	=	=	SYM
ejpam-3698	62	31	x(0	x(0	PROPN
ejpam-3698	62	32	)	)	PUNCT
ejpam-3698	62	33	+	+	CCONJ
ejpam-3698	62	34	t∫	t∫	PROPN
ejpam-3698	62	35	0	0	NUM
ejpam-3698	62	36	y(τ)dτ	y(τ)dτ	PROPN
ejpam-3698	62	37	,	,	PUNCT
ejpam-3698	62	38	(	(	PUNCT
ejpam-3698	62	39	6	6	NUM
ejpam-3698	62	40	)	)	PUNCT
ejpam-3698	62	41	where	where	SCONJ
ejpam-3698	62	42	x0	x0	PROPN
ejpam-3698	62	43	is	be	AUX
ejpam-3698	62	44	an	an	DET
ejpam-3698	62	45	arbitrary	arbitrary	ADJ
ejpam-3698	62	46	constant	constant	ADJ
ejpam-3698	62	47	vector	vector	NOUN
ejpam-3698	62	48	.	.	PUNCT
ejpam-3698	63	1	now	now	ADV
ejpam-3698	63	2	we	we	PRON
ejpam-3698	63	3	define	define	VERB
ejpam-3698	63	4	x0	x0	PROPN
ejpam-3698	63	5	so	so	SCONJ
ejpam-3698	63	6	that	that	SCONJ
ejpam-3698	63	7	,	,	PUNCT
ejpam-3698	63	8	the	the	DET
ejpam-3698	63	9	function	function	NOUN
ejpam-3698	63	10	in	in	ADP
ejpam-3698	63	11	equality	equality	NOUN
ejpam-3698	63	12	(	(	PUNCT
ejpam-3698	63	13	6	6	NUM
ejpam-3698	63	14	)	)	PUNCT
ejpam-3698	63	15	satisfies	satisfy	VERB
ejpam-3698	63	16	condition	condition	NOUN
ejpam-3698	63	17	(	(	PUNCT
ejpam-3698	63	18	4	4	NUM
ejpam-3698	63	19	)	)	PUNCT
ejpam-3698	63	20	.	.	PUNCT
ejpam-3698	64	1	then	then	ADV
ejpam-3698	64	2	we	we	PRON
ejpam-3698	64	3	have	have	VERB
ejpam-3698	64	4	m∑	m∑	NOUN
ejpam-3698	64	5	i=0	i=0	PROPN
ejpam-3698	64	6	li[x0	li[x0	PROPN
ejpam-3698	65	1	+	+	CCONJ
ejpam-3698	65	2	ti∫	ti∫	PROPN
ejpam-3698	65	3	0	0	NUM
ejpam-3698	65	4	y	y	PROPN
ejpam-3698	65	5	(	(	PUNCT
ejpam-3698	65	6	s	s	NOUN
ejpam-3698	65	7	)	)	PUNCT
ejpam-3698	65	8	ds	ds	ADJ
ejpam-3698	65	9	]	]	X
ejpam-3698	65	10	=	=	SYM
ejpam-3698	65	11	α	α	X
ejpam-3698	65	12	.	.	PUNCT
ejpam-3698	66	1	this	this	PRON
ejpam-3698	66	2	obviously	obviously	ADV
ejpam-3698	66	3	gives	give	VERB
ejpam-3698	66	4	x0	x0	PROPN
ejpam-3698	66	5	=	=	PUNCT
ejpam-3698	66	6	n−1α−n−1	n−1α−n−1	VERB
ejpam-3698	66	7			NOUN
ejpam-3698	66	8	m∑	m∑	ADP
ejpam-3698	66	9	i=1	i=1	PROPN
ejpam-3698	66	10	li	li	PROPN
ejpam-3698	67	1	ti∫	ti∫	PROPN
ejpam-3698	67	2	0	0	NUM
ejpam-3698	67	3	y	y	PROPN
ejpam-3698	67	4	(	(	PUNCT
ejpam-3698	67	5	s	s	NOUN
ejpam-3698	67	6	)	)	PUNCT
ejpam-3698	67	7	ds	ds	ADJ
ejpam-3698	67	8			NOUN
ejpam-3698	67	9	.	.	PUNCT
ejpam-3698	68	1	(	(	PUNCT
ejpam-3698	68	2	7	7	X
ejpam-3698	68	3	)	)	PUNCT
ejpam-3698	68	4	considering	consider	VERB
ejpam-3698	68	5	the	the	DET
ejpam-3698	68	6	value	value	NOUN
ejpam-3698	68	7	x0	x0	PROPN
ejpam-3698	68	8	determined	determine	VERB
ejpam-3698	68	9	from	from	ADP
ejpam-3698	68	10	the	the	DET
ejpam-3698	68	11	equality	equality	NOUN
ejpam-3698	68	12	(	(	PUNCT
ejpam-3698	68	13	7	7	NUM
ejpam-3698	68	14	)	)	PUNCT
ejpam-3698	68	15	in	in	ADP
ejpam-3698	68	16	(	(	PUNCT
ejpam-3698	68	17	6	6	X
ejpam-3698	68	18	)	)	PUNCT
ejpam-3698	68	19	we	we	PRON
ejpam-3698	68	20	get	get	VERB
ejpam-3698	68	21	x	x	X
ejpam-3698	68	22	(	(	PUNCT
ejpam-3698	68	23	t	t	NOUN
ejpam-3698	68	24	)	)	PUNCT
ejpam-3698	68	25	=	=	PUNCT
ejpam-3698	68	26	n−1α−n−1	n−1α−n−1	PROPN
ejpam-3698	68	27			NOUN
ejpam-3698	68	28	m∑	m∑	ADP
ejpam-3698	68	29	i=1	i=1	PROPN
ejpam-3698	68	30	li	li	PROPN
ejpam-3698	69	1	ti∫	ti∫	PROPN
ejpam-3698	69	2	0	0	NUM
ejpam-3698	69	3	y	y	PROPN
ejpam-3698	69	4	(	(	PUNCT
ejpam-3698	69	5	s	s	X
ejpam-3698	69	6	)	)	PUNCT
ejpam-3698	69	7	ds	ds	PROPN
ejpam-3698	69	8	+	+	PROPN
ejpam-3698	69	9	t∫	t∫	PROPN
ejpam-3698	69	10	0	0	NUM
ejpam-3698	69	11	y	y	PROPN
ejpam-3698	69	12	(	(	PUNCT
ejpam-3698	69	13	s	s	NOUN
ejpam-3698	69	14	)	)	PUNCT
ejpam-3698	69	15	ds	ds	NOUN
ejpam-3698	69	16	.	.	PUNCT
ejpam-3698	70	1	(	(	PUNCT
ejpam-3698	70	2	8)	8)	NUM
ejpam-3698	70	3	suppose	suppose	VERB
ejpam-3698	70	4	that	that	SCONJ
ejpam-3698	70	5	t	t	PROPN
ejpam-3698	70	6	∈	∈	PROPN
ejpam-3698	71	1	[	[	X
ejpam-3698	71	2	0	0	NUM
ejpam-3698	71	3	,	,	PUNCT
ejpam-3698	71	4	t1	t1	PROPN
ejpam-3698	71	5	]	]	PUNCT
ejpam-3698	71	6	then	then	ADV
ejpam-3698	71	7	equality	equality	NOUN
ejpam-3698	71	8	(	(	PUNCT
ejpam-3698	71	9	8)	8)	NUM
ejpam-3698	71	10	may	may	AUX
ejpam-3698	71	11	be	be	AUX
ejpam-3698	71	12	written	write	VERB
ejpam-3698	71	13	as	as	SCONJ
ejpam-3698	71	14	follows	follow	VERB
ejpam-3698	71	15	:	:	PUNCT
ejpam-3698	71	16	x(t	x(t	PROPN
ejpam-3698	71	17	)	)	PUNCT
ejpam-3698	71	18	=	=	PUNCT
ejpam-3698	72	1	n−1α−n−1	n−1α−n−1	ADJ
ejpam-3698	72	2	l1	l1	PROPN
ejpam-3698	72	3	t∫	t∫	PROPN
ejpam-3698	72	4	0	0	NUM
ejpam-3698	72	5	y(τ)dτ	y(τ)dτ	PROPN
ejpam-3698	72	6	+	+	PROPN
ejpam-3698	72	7	l1	l1	PROPN
ejpam-3698	72	8	t1∫	t1∫	PROPN
ejpam-3698	72	9	t	t	PROPN
ejpam-3698	72	10	y(τ)dτ	y(τ)dτ	VERB
ejpam-3698	72	11	−n−1	−n−1	PROPN
ejpam-3698	72	12	l2	l2	VERB
ejpam-3698	73	1	t∫	t∫	NUM
ejpam-3698	73	2	0	0	NUM
ejpam-3698	73	3	y(τ)dτ	y(τ)dτ	PROPN
ejpam-3698	73	4	+	+	CCONJ
ejpam-3698	73	5	l2	l2	PROPN
ejpam-3698	73	6	t1∫	t1∫	NUM
ejpam-3698	73	7	t	t	NOUN
ejpam-3698	73	8	y(τ)dτ	y(τ)dτ	PROPN
ejpam-3698	74	1			PROPN
ejpam-3698	74	2	−n−1l2	−n−1l2	PROPN
ejpam-3698	74	3	t2∫	t2∫	PROPN
ejpam-3698	74	4	t1	t1	NOUN
ejpam-3698	74	5	y	y	PROPN
ejpam-3698	74	6	(	(	PUNCT
ejpam-3698	74	7	τ)dτ	τ)dτ	PROPN
ejpam-3698	74	8	−n−1	−n−1	VERB
ejpam-3698	74	9	l3	l3	NOUN
ejpam-3698	74	10	t∫	t∫	PRON
ejpam-3698	74	11	0	0	NUM
ejpam-3698	74	12	y	y	PROPN
ejpam-3698	74	13	(	(	PUNCT
ejpam-3698	74	14	τ	τ	PROPN
ejpam-3698	74	15	)	)	PUNCT
ejpam-3698	74	16	dτ	dτ	NOUN
ejpam-3698	74	17	+	+	SYM
ejpam-3698	74	18	l3	l3	PROPN
ejpam-3698	74	19	t1∫	t1∫	PROPN
ejpam-3698	74	20	t	t	PROPN
ejpam-3698	74	21	y	y	PROPN
ejpam-3698	74	22	(	(	PUNCT
ejpam-3698	74	23	τ	τ	PROPN
ejpam-3698	74	24	)	)	PUNCT
ejpam-3698	74	25	dτ	dτ	NOUN
ejpam-3698	74	26	−n−1l3	−n−1l3	PROPN
ejpam-3698	74	27			PROPN
ejpam-3698	74	28	2∑	2∑	NUM
ejpam-3698	74	29	i=1	i=1	SYM
ejpam-3698	74	30	ti+1∫	ti+1∫	X
ejpam-3698	74	31	ti	ti	X
ejpam-3698	74	32	y	y	PROPN
ejpam-3698	74	33	(	(	PUNCT
ejpam-3698	74	34	τ)dτ	τ)dτ	PROPN
ejpam-3698	74	35			PROPN
ejpam-3698	74	36	−	−	NOUN
ejpam-3698	74	37	...	...	PUNCT
ejpam-3698	74	38	−n−1	−n−1	NUM
ejpam-3698	74	39	lm	lm	VERB
ejpam-3698	74	40	t∫	t∫	PROPN
ejpam-3698	74	41	0	0	NUM
ejpam-3698	74	42	y	y	NOUN
ejpam-3698	74	43	(	(	PUNCT
ejpam-3698	74	44	τ)dτ	τ)dτ	ADJ
ejpam-3698	74	45	+	+	CCONJ
ejpam-3698	74	46	lm	lm	NUM
ejpam-3698	74	47	t1∫	t1∫	PROPN
ejpam-3698	74	48	t	t	PROPN
ejpam-3698	74	49	y	y	PROPN
ejpam-3698	74	50	(	(	PUNCT
ejpam-3698	74	51	τ	τ	PROPN
ejpam-3698	74	52	)	)	PUNCT
ejpam-3698	74	53	dτ	dτ	NOUN
ejpam-3698	74	54	−n−1lm	−n−1lm	ADP
ejpam-3698	74	55			PROPN
ejpam-3698	74	56	m∑	m∑	CCONJ
ejpam-3698	74	57	i=1	i=1	NOUN
ejpam-3698	74	58	ti+1∫	ti+1∫	X
ejpam-3698	74	59	ti	ti	X
ejpam-3698	74	60	y	y	PROPN
ejpam-3698	74	61	(	(	PUNCT
ejpam-3698	74	62	τ	τ	PROPN
ejpam-3698	74	63	)	)	PUNCT
ejpam-3698	74	64	dτ	dτ	NOUN
ejpam-3698	74	65	+	+	PROPN
ejpam-3698	75	1	t∫	t∫	PROPN
ejpam-3698	75	2	0	0	NUM
ejpam-3698	75	3	y	y	PROPN
ejpam-3698	75	4	(	(	PUNCT
ejpam-3698	75	5	τ	τ	PROPN
ejpam-3698	75	6	)	)	PUNCT
ejpam-3698	75	7	dτ	dτ	NOUN
ejpam-3698	75	8	.	.	PROPN
ejpam-3698	75	9	one	one	PRON
ejpam-3698	75	10	can	can	AUX
ejpam-3698	75	11	easily	easily	ADV
ejpam-3698	75	12	rewrite	rewrite	VERB
ejpam-3698	75	13	this	this	DET
ejpam-3698	75	14	equality	equality	NOUN
ejpam-3698	75	15	in	in	ADP
ejpam-3698	75	16	the	the	DET
ejpam-3698	75	17	equivalent	equivalent	ADJ
ejpam-3698	75	18	form	form	NOUN
ejpam-3698	75	19	:	:	PUNCT
ejpam-3698	75	20	x(t	x(t	PROPN
ejpam-3698	75	21	)	)	PUNCT
ejpam-3698	76	1	=	=	SYM
ejpam-3698	76	2	n−1α+	n−1α+	PROPN
ejpam-3698	77	1	t∫	t∫	NOUN
ejpam-3698	77	2	0	0	PUNCT
ejpam-3698	78	1	(	(	PUNCT
ejpam-3698	78	2	e	e	X
ejpam-3698	78	3	−n−1	−n−1	NUM
ejpam-3698	78	4	m∑	m∑	NOUN
ejpam-3698	78	5	i=1	i=1	PROPN
ejpam-3698	78	6	li	li	PROPN
ejpam-3698	78	7	)	)	PUNCT
ejpam-3698	78	8	y(τ)dτ	y(τ)dτ	PROPN
ejpam-3698	78	9	−n−1	−n−1	NUM
ejpam-3698	78	10	t1∫	t1∫	PROPN
ejpam-3698	78	11	t	t	NOUN
ejpam-3698	78	12	(	(	PUNCT
ejpam-3698	78	13	m∑	m∑	INTJ
ejpam-3698	78	14	i=1	i=1	PROPN
ejpam-3698	78	15	li	li	PROPN
ejpam-3698	78	16	)	)	PUNCT
ejpam-3698	79	1	y(τ)dτ	y(τ)dτ	PROPN
ejpam-3698	79	2	−n−1	−n−1	NUM
ejpam-3698	79	3	(	(	PUNCT
ejpam-3698	79	4	m∑	m∑	CCONJ
ejpam-3698	79	5	i=2	i=2	PROPN
ejpam-3698	79	6	li	li	PROPN
ejpam-3698	79	7	)	)	PUNCT
ejpam-3698	79	8	t2∫	t2∫	PROPN
ejpam-3698	80	1	t1	t1	NOUN
ejpam-3698	80	2	y	y	PROPN
ejpam-3698	80	3	(	(	PUNCT
ejpam-3698	80	4	τ	τ	PROPN
ejpam-3698	80	5	)	)	PUNCT
ejpam-3698	80	6	dτ	dτ	NOUN
ejpam-3698	80	7	−n−1	−n−1	NUM
ejpam-3698	80	8	(	(	PUNCT
ejpam-3698	80	9	m∑	m∑	NOUN
ejpam-3698	80	10	i=3	i=3	PROPN
ejpam-3698	80	11	li	li	PROPN
ejpam-3698	80	12	)	)	PUNCT
ejpam-3698	80	13	t3∫	t3∫	PROPN
ejpam-3698	80	14	t2	t2	PROPN
ejpam-3698	80	15	y	y	SYM
ejpam-3698	80	16	(	(	PUNCT
ejpam-3698	80	17	τ)dτ	τ)dτ	PROPN
ejpam-3698	80	18	−	−	PROPN
ejpam-3698	80	19	...	...	PUNCT
ejpam-3698	80	20	−n−1lm	−n−1lm	NOUN
ejpam-3698	80	21	t∫	t∫	PRON
ejpam-3698	80	22	tm−1	tm−1	NOUN
ejpam-3698	80	23	y	y	PROPN
ejpam-3698	80	24	(	(	PUNCT
ejpam-3698	80	25	τ)dτ	τ)dτ	PROPN
ejpam-3698	80	26	,	,	PUNCT
ejpam-3698	80	27	(	(	PUNCT
ejpam-3698	80	28	9	9	X
ejpam-3698	80	29	)	)	PUNCT
ejpam-3698	80	30	y.a.sharifov	y.a.sharifov	PROPN
ejpam-3698	80	31	et	et	PROPN
ejpam-3698	80	32	al	al	PROPN
ejpam-3698	80	33	.	.	PUNCT
ejpam-3698	80	34	/	/	SYM
ejpam-3698	80	35	eur	eur	PROPN
ejpam-3698	80	36	.	.	PUNCT
ejpam-3698	81	1	j.	j.	PROPN
ejpam-3698	81	2	pure	pure	PROPN
ejpam-3698	81	3	appl	appl	PROPN
ejpam-3698	81	4	.	.	PROPN
ejpam-3698	81	5	math	math	PROPN
ejpam-3698	81	6	,	,	PUNCT
ejpam-3698	81	7	13	13	NUM
ejpam-3698	81	8	(	(	PUNCT
ejpam-3698	81	9	3	3	NUM
ejpam-3698	81	10	)	)	PUNCT
ejpam-3698	81	11	(	(	PUNCT
ejpam-3698	81	12	2020	2020	NUM
ejpam-3698	81	13	)	)	PUNCT
ejpam-3698	81	14	,	,	PUNCT
ejpam-3698	81	15	414	414	NUM
ejpam-3698	81	16	-	-	SYM
ejpam-3698	81	17	426	426	NUM
ejpam-3698	81	18	418	418	NUM
ejpam-3698	81	19	where	where	SCONJ
ejpam-3698	81	20	e	e	NOUN
ejpam-3698	81	21	is	be	AUX
ejpam-3698	81	22	an	an	DET
ejpam-3698	81	23	identity	identity	NOUN
ejpam-3698	81	24	matrix	matrix	NOUN
ejpam-3698	81	25	.	.	PUNCT
ejpam-3698	82	1	since	since	SCONJ
ejpam-3698	82	2	equality	equality	NOUN
ejpam-3698	82	3	(	(	PUNCT
ejpam-3698	82	4	e	e	NOUN
ejpam-3698	82	5	−n−1	−n−1	NUM
ejpam-3698	82	6	m∑	m∑	NOUN
ejpam-3698	82	7	i=1	i=1	PROPN
ejpam-3698	82	8	li	li	PROPN
ejpam-3698	82	9	)	)	PUNCT
ejpam-3698	83	1	=	=	PUNCT
ejpam-3698	83	2	n−1l0	n−1l0	NOUN
ejpam-3698	83	3	is	be	AUX
ejpam-3698	83	4	valid	valid	ADJ
ejpam-3698	83	5	following	follow	VERB
ejpam-3698	83	6	function	function	NOUN
ejpam-3698	83	7	may	may	AUX
ejpam-3698	83	8	be	be	AUX
ejpam-3698	83	9	introduced	introduce	VERB
ejpam-3698	83	10	g1	g1	PROPN
ejpam-3698	83	11	(	(	PUNCT
ejpam-3698	83	12	t	t	PROPN
ejpam-3698	83	13	,	,	PUNCT
ejpam-3698	83	14	τ	τ	X
ejpam-3698	83	15	)	)	PUNCT
ejpam-3698	83	16	=	=	PUNCT
ejpam-3698	83	17			PROPN
ejpam-3698	83	18	n−1l0	n−1l0	PROPN
ejpam-3698	83	19	,	,	PUNCT
ejpam-3698	83	20	t0	t0	PROPN
ejpam-3698	83	21	≤	≤	NUM
ejpam-3698	83	22	τ	τ	PROPN
ejpam-3698	83	23	≤	≤	PROPN
ejpam-3698	83	24	t	t	PROPN
ejpam-3698	83	25	,	,	PUNCT
ejpam-3698	83	26	−n−1	−n−1	NUM
ejpam-3698	83	27	(	(	PUNCT
ejpam-3698	83	28	m∑	m∑	INTJ
ejpam-3698	83	29	i=1	i=1	PROPN
ejpam-3698	83	30	li	li	PROPN
ejpam-3698	83	31	)	)	PUNCT
ejpam-3698	83	32	,	,	PUNCT
ejpam-3698	83	33	t	t	X
ejpam-3698	83	34	<	<	X
ejpam-3698	83	35	τ	τ	PROPN
ejpam-3698	83	36	≤	≤	PROPN
ejpam-3698	83	37	t1	t1	PROPN
ejpam-3698	83	38	,	,	PUNCT
ejpam-3698	83	39	−n−1	−n−1	NUM
ejpam-3698	83	40	(	(	PUNCT
ejpam-3698	83	41	m∑	m∑	CCONJ
ejpam-3698	83	42	i=2	i=2	PROPN
ejpam-3698	83	43	li	li	PROPN
ejpam-3698	83	44	)	)	PUNCT
ejpam-3698	83	45	,	,	PUNCT
ejpam-3698	83	46	t1	t1	NOUN
ejpam-3698	83	47	<	<	X
ejpam-3698	83	48	τ	τ	PROPN
ejpam-3698	83	49	≤	≤	PROPN
ejpam-3698	83	50	t2	t2	NOUN
ejpam-3698	83	51	,	,	PUNCT
ejpam-3698	83	52	−n−1	−n−1	NUM
ejpam-3698	83	53	(	(	PUNCT
ejpam-3698	83	54	m∑	m∑	NOUN
ejpam-3698	83	55	i=3	i=3	PROPN
ejpam-3698	83	56	li	li	PROPN
ejpam-3698	83	57	)	)	PUNCT
ejpam-3698	83	58	,	,	PUNCT
ejpam-3698	83	59	t2	t2	NOUN
ejpam-3698	83	60	<	<	X
ejpam-3698	83	61	τ	τ	PROPN
ejpam-3698	83	62	≤	≤	PROPN
ejpam-3698	83	63	t3	t3	PROPN
ejpam-3698	83	64	,	,	PUNCT
ejpam-3698	83	65	.............................................	.............................................	PUNCT
ejpam-3698	84	1	−n−1lm	−n−1lm	NOUN
ejpam-3698	84	2	,	,	PUNCT
ejpam-3698	84	3	tm−1	tm−1	NOUN
ejpam-3698	84	4	<	<	X
ejpam-3698	84	5	τ	τ	PROPN
ejpam-3698	84	6	≤	≤	PUNCT
ejpam-3698	84	7	t.	t.	NOUN
ejpam-3698	84	8	considering	consider	VERB
ejpam-3698	84	9	the	the	DET
ejpam-3698	84	10	last	last	ADJ
ejpam-3698	84	11	one	one	NOUN
ejpam-3698	84	12	we	we	PRON
ejpam-3698	84	13	can	can	AUX
ejpam-3698	84	14	transfer	transfer	VERB
ejpam-3698	84	15	equality	equality	NOUN
ejpam-3698	84	16	(	(	PUNCT
ejpam-3698	84	17	9	9	NUM
ejpam-3698	84	18	)	)	PUNCT
ejpam-3698	84	19	to	to	ADP
ejpam-3698	84	20	the	the	DET
ejpam-3698	84	21	following	follow	VERB
ejpam-3698	84	22	an	an	DET
ejpam-3698	84	23	integral	integral	ADJ
ejpam-3698	84	24	equation	equation	NOUN
ejpam-3698	84	25	x(t	x(t	PROPN
ejpam-3698	84	26	)	)	PUNCT
ejpam-3698	84	27	=	=	SYM
ejpam-3698	85	1	n−1α+	n−1α+	PROPN
ejpam-3698	85	2	t∫	t∫	PROPN
ejpam-3698	85	3	0	0	NUM
ejpam-3698	85	4	g1(t	g1(t	NOUN
ejpam-3698	85	5	,	,	PUNCT
ejpam-3698	85	6	τ)y(τ)dτ	τ)y(τ)dτ	NOUN
ejpam-3698	85	7	,	,	PUNCT
ejpam-3698	85	8	t	t	PROPN
ejpam-3698	85	9	∈	∈	PROPN
ejpam-3698	86	1	[	[	X
ejpam-3698	86	2	0	0	NUM
ejpam-3698	86	3	,	,	PUNCT
ejpam-3698	86	4	t1	t1	NOUN
ejpam-3698	86	5	]	]	PUNCT
ejpam-3698	86	6	.	.	PUNCT
ejpam-3698	87	1	assuming	assume	VERB
ejpam-3698	87	2	t	t	PROPN
ejpam-3698	87	3	∈	∈	PROPN
ejpam-3698	87	4	(	(	PUNCT
ejpam-3698	87	5	t1	t1	NOUN
ejpam-3698	87	6	,	,	PUNCT
ejpam-3698	87	7	t2	t2	PROPN
ejpam-3698	87	8	]	]	PUNCT
ejpam-3698	87	9	we	we	PRON
ejpam-3698	87	10	can	can	AUX
ejpam-3698	87	11	write	write	VERB
ejpam-3698	87	12	equality	equality	NOUN
ejpam-3698	87	13	(	(	PUNCT
ejpam-3698	87	14	8)	8)	NUM
ejpam-3698	87	15	in	in	ADP
ejpam-3698	87	16	the	the	DET
ejpam-3698	87	17	following	follow	VERB
ejpam-3698	87	18	form	form	NOUN
ejpam-3698	87	19	x(t	x(t	PROPN
ejpam-3698	87	20	)	)	PUNCT
ejpam-3698	88	1	=	=	PUNCT
ejpam-3698	88	2	n−1α−n−1	n−1α−n−1	ADJ
ejpam-3698	88	3	(	(	PUNCT
ejpam-3698	88	4	m∑	m∑	INTJ
ejpam-3698	88	5	i=1	i=1	PROPN
ejpam-3698	88	6	li	li	PROPN
ejpam-3698	88	7	)	)	PUNCT
ejpam-3698	88	8	t1∫	t1∫	PROPN
ejpam-3698	88	9	0	0	NUM
ejpam-3698	88	10	y(t)dt−n−1	y(t)dt−n−1	PROPN
ejpam-3698	88	11	(	(	PUNCT
ejpam-3698	88	12	m∑	m∑	CCONJ
ejpam-3698	88	13	i=2	i=2	PROPN
ejpam-3698	88	14	li	li	PROPN
ejpam-3698	88	15	)	)	PUNCT
ejpam-3698	89	1			PROPN
ejpam-3698	89	2	t∫	t∫	PROPN
ejpam-3698	89	3	t1	t1	NUM
ejpam-3698	89	4	y(τ)dτ	y(τ)dτ	PROPN
ejpam-3698	90	1	+	+	CCONJ
ejpam-3698	90	2	t2∫	t2∫	X
ejpam-3698	90	3	t	t	NOUN
ejpam-3698	90	4	y(τ)dτ	y(τ)dτ	PROPN
ejpam-3698	90	5			PROPN
ejpam-3698	90	6	−n−1	−n−1	NUM
ejpam-3698	90	7	(	(	PUNCT
ejpam-3698	90	8	m∑	m∑	NOUN
ejpam-3698	90	9	i=3	i=3	PROPN
ejpam-3698	90	10	li	li	PROPN
ejpam-3698	90	11	)	)	PUNCT
ejpam-3698	90	12	t3∫	t3∫	PROPN
ejpam-3698	90	13	t2	t2	PROPN
ejpam-3698	90	14	y	y	PROPN
ejpam-3698	90	15	(	(	PUNCT
ejpam-3698	90	16	τ	τ	PROPN
ejpam-3698	90	17	)	)	PUNCT
ejpam-3698	90	18	d−n−1	d−n−1	PROPN
ejpam-3698	90	19	(	(	PUNCT
ejpam-3698	90	20	m∑	m∑	CCONJ
ejpam-3698	90	21	i=4	i=4	PROPN
ejpam-3698	90	22	li	li	PROPN
ejpam-3698	90	23	)	)	PUNCT
ejpam-3698	90	24	t4∫	t4∫	NOUN
ejpam-3698	90	25	t3	t3	PROPN
ejpam-3698	90	26	y	y	PROPN
ejpam-3698	90	27	(	(	PUNCT
ejpam-3698	90	28	τ	τ	PROPN
ejpam-3698	90	29	)	)	PUNCT
ejpam-3698	90	30	dτ	dτ	NOUN
ejpam-3698	90	31	−	−	PROPN
ejpam-3698	90	32	...	...	PUNCT
ejpam-3698	90	33	−n−1lm	−n−1lm	NOUN
ejpam-3698	90	34	t∫	t∫	DET
ejpam-3698	90	35	tm−1	tm−1	PROPN
ejpam-3698	90	36	y	y	PROPN
ejpam-3698	90	37	(	(	PUNCT
ejpam-3698	90	38	τ	τ	PROPN
ejpam-3698	90	39	)	)	PUNCT
ejpam-3698	90	40	dτ	dτ	PROPN
ejpam-3698	91	1	+	+	CCONJ
ejpam-3698	91	2	t1∫	t1∫	NUM
ejpam-3698	91	3	0	0	NUM
ejpam-3698	92	1	y(t)dt+	y(t)dt+	PROPN
ejpam-3698	92	2	t∫	t∫	PROPN
ejpam-3698	92	3	t1	t1	NUM
ejpam-3698	92	4	y(τ)dτ	y(τ)dτ	PROPN
ejpam-3698	92	5	.	.	PROPN
ejpam-3698	93	1	from	from	ADP
ejpam-3698	93	2	this	this	PRON
ejpam-3698	93	3	it	it	PRON
ejpam-3698	93	4	is	be	AUX
ejpam-3698	93	5	easy	easy	ADJ
ejpam-3698	93	6	to	to	PART
ejpam-3698	93	7	derive	derive	VERB
ejpam-3698	93	8	x(t	x(t	PROPN
ejpam-3698	93	9	)	)	PUNCT
ejpam-3698	94	1	=	=	SYM
ejpam-3698	94	2	n−1α+n−1l0	n−1α+n−1l0	PROPN
ejpam-3698	94	3	t1∫	t1∫	PROPN
ejpam-3698	94	4	0	0	NUM
ejpam-3698	94	5	y(t)dt+n−1	y(t)dt+n−1	PROPN
ejpam-3698	95	1	(	(	PUNCT
ejpam-3698	95	2	1∑	1∑	PROPN
ejpam-3698	95	3	i=0	i=0	PROPN
ejpam-3698	95	4	li	li	PROPN
ejpam-3698	95	5	)	)	PUNCT
ejpam-3698	96	1			PROPN
ejpam-3698	96	2	t∫	t∫	PROPN
ejpam-3698	96	3	t1	t1	NUM
ejpam-3698	96	4	y(τ)dτ	y(τ)dτ	PRON
ejpam-3698	96	5	−n−1	−n−1	PROPN
ejpam-3698	96	6	(	(	PUNCT
ejpam-3698	96	7	m∑	m∑	CCONJ
ejpam-3698	96	8	i=2	i=2	PROPN
ejpam-3698	96	9	l	l	PROPN
ejpam-3698	96	10	)	)	PUNCT
ejpam-3698	96	11	t2∫	t2∫	PROPN
ejpam-3698	96	12	t	t	PROPN
ejpam-3698	96	13	y	y	PROPN
ejpam-3698	96	14	(	(	PUNCT
ejpam-3698	96	15	τ	τ	PROPN
ejpam-3698	96	16	)	)	PUNCT
ejpam-3698	96	17	dτ	dτ	NOUN
ejpam-3698	96	18	−n−1	−n−1	NUM
ejpam-3698	96	19	(	(	PUNCT
ejpam-3698	96	20	m∑	m∑	NOUN
ejpam-3698	96	21	i=3	i=3	PROPN
ejpam-3698	96	22	li	li	PROPN
ejpam-3698	96	23	)	)	PUNCT
ejpam-3698	96	24	t3∫	t3∫	PROPN
ejpam-3698	96	25	t2	t2	PROPN
ejpam-3698	96	26	y	y	PROPN
ejpam-3698	96	27	(	(	PUNCT
ejpam-3698	96	28	τ	τ	PROPN
ejpam-3698	96	29	)	)	PUNCT
ejpam-3698	96	30	d−n−1	d−n−1	PROPN
ejpam-3698	96	31	(	(	PUNCT
ejpam-3698	96	32	m∑	m∑	CCONJ
ejpam-3698	96	33	i=4	i=4	PROPN
ejpam-3698	96	34	li	li	PROPN
ejpam-3698	96	35	)	)	PUNCT
ejpam-3698	96	36	t4∫	t4∫	NOUN
ejpam-3698	96	37	t3	t3	PROPN
ejpam-3698	96	38	y	y	PROPN
ejpam-3698	96	39	(	(	PUNCT
ejpam-3698	96	40	τ	τ	PROPN
ejpam-3698	96	41	)	)	PUNCT
ejpam-3698	96	42	dτ	dτ	NOUN
ejpam-3698	96	43	−	−	PROPN
ejpam-3698	96	44	...	...	PUNCT
ejpam-3698	96	45	−n−1lm	−n−1lm	NOUN
ejpam-3698	96	46	t∫	t∫	DET
ejpam-3698	96	47	tm−1	tm−1	PROPN
ejpam-3698	96	48	y	y	PROPN
ejpam-3698	96	49	(	(	PUNCT
ejpam-3698	96	50	τ	τ	PROPN
ejpam-3698	96	51	)	)	PUNCT
ejpam-3698	96	52	dτ	dτ	PROPN
ejpam-3698	96	53	.	.	PROPN
ejpam-3698	96	54	y.a.sharifov	y.a.sharifov	PROPN
ejpam-3698	96	55	et	et	PROPN
ejpam-3698	96	56	al	al	PROPN
ejpam-3698	96	57	.	.	PUNCT
ejpam-3698	96	58	/	/	SYM
ejpam-3698	96	59	eur	eur	PROPN
ejpam-3698	96	60	.	.	PUNCT
ejpam-3698	97	1	j.	j.	PROPN
ejpam-3698	97	2	pure	pure	PROPN
ejpam-3698	97	3	appl	appl	PROPN
ejpam-3698	97	4	.	.	PROPN
ejpam-3698	97	5	math	math	PROPN
ejpam-3698	97	6	,	,	PUNCT
ejpam-3698	97	7	13	13	NUM
ejpam-3698	97	8	(	(	PUNCT
ejpam-3698	97	9	3	3	NUM
ejpam-3698	97	10	)	)	PUNCT
ejpam-3698	97	11	(	(	PUNCT
ejpam-3698	97	12	2020	2020	NUM
ejpam-3698	97	13	)	)	PUNCT
ejpam-3698	97	14	,	,	PUNCT
ejpam-3698	97	15	414	414	NUM
ejpam-3698	97	16	-	-	SYM
ejpam-3698	97	17	426	426	NUM
ejpam-3698	97	18	419	419	NUM
ejpam-3698	97	19	in	in	ADP
ejpam-3698	97	20	this	this	DET
ejpam-3698	97	21	step	step	NOUN
ejpam-3698	97	22	we	we	PRON
ejpam-3698	97	23	again	again	ADV
ejpam-3698	97	24	introduce	introduce	VERB
ejpam-3698	97	25	a	a	DET
ejpam-3698	97	26	new	new	ADJ
ejpam-3698	97	27	function	function	NOUN
ejpam-3698	97	28	g2	g2	PROPN
ejpam-3698	97	29	(	(	PUNCT
ejpam-3698	97	30	t	t	PROPN
ejpam-3698	97	31	,	,	PUNCT
ejpam-3698	97	32	τ	τ	X
ejpam-3698	97	33	)	)	PUNCT
ejpam-3698	97	34	=	=	PUNCT
ejpam-3698	97	35			PROPN
ejpam-3698	97	36	n−1l0	n−1l0	PROPN
ejpam-3698	97	37	,	,	PUNCT
ejpam-3698	97	38	t0	t0	PROPN
ejpam-3698	97	39	≤	≤	NUM
ejpam-3698	97	40	τ	τ	PROPN
ejpam-3698	97	41	≤	≤	PROPN
ejpam-3698	97	42	t1	t1	PROPN
ejpam-3698	97	43	,	,	PUNCT
ejpam-3698	97	44	n−1	n−1	PROPN
ejpam-3698	97	45	(	(	PUNCT
ejpam-3698	97	46	1∑	1∑	PROPN
ejpam-3698	97	47	i=0	i=0	PROPN
ejpam-3698	97	48	li	li	PROPN
ejpam-3698	97	49	)	)	PUNCT
ejpam-3698	97	50	,	,	PUNCT
ejpam-3698	97	51	t1	t1	NOUN
ejpam-3698	97	52	<	<	X
ejpam-3698	97	53	τ	τ	PROPN
ejpam-3698	97	54	≤	≤	PROPN
ejpam-3698	97	55	t	t	PROPN
ejpam-3698	97	56	,	,	PUNCT
ejpam-3698	97	57	−n−1	−n−1	NUM
ejpam-3698	97	58	(	(	PUNCT
ejpam-3698	97	59	m∑	m∑	CCONJ
ejpam-3698	97	60	i=2	i=2	PROPN
ejpam-3698	97	61	li	li	PROPN
ejpam-3698	97	62	)	)	PUNCT
ejpam-3698	97	63	,	,	PUNCT
ejpam-3698	97	64	t	t	X
ejpam-3698	97	65	<	<	X
ejpam-3698	97	66	τ	τ	PROPN
ejpam-3698	97	67	≤	≤	PROPN
ejpam-3698	97	68	t2	t2	NOUN
ejpam-3698	97	69	,	,	PUNCT
ejpam-3698	97	70	−n−1	−n−1	NUM
ejpam-3698	97	71	(	(	PUNCT
ejpam-3698	97	72	m∑	m∑	NOUN
ejpam-3698	97	73	i=3	i=3	PROPN
ejpam-3698	97	74	li	li	PROPN
ejpam-3698	97	75	)	)	PUNCT
ejpam-3698	97	76	,	,	PUNCT
ejpam-3698	97	77	t2	t2	NOUN
ejpam-3698	97	78	<	<	X
ejpam-3698	97	79	τ	τ	PROPN
ejpam-3698	97	80	≤	≤	PROPN
ejpam-3698	97	81	t3	t3	PROPN
ejpam-3698	97	82	,	,	PUNCT
ejpam-3698	97	83	..........................................	..........................................	PUNCT
ejpam-3698	98	1	−n−1lm	−n−1lm	NOUN
ejpam-3698	98	2	,	,	PUNCT
ejpam-3698	98	3	tm−1	tm−1	NOUN
ejpam-3698	98	4	<	<	X
ejpam-3698	98	5	τ	τ	X
ejpam-3698	98	6	≤	≤	PUNCT
ejpam-3698	98	7	t.	t.	NOUN
ejpam-3698	98	8	therefore	therefore	ADV
ejpam-3698	98	9	we	we	PRON
ejpam-3698	98	10	conclude	conclude	VERB
ejpam-3698	98	11	that	that	SCONJ
ejpam-3698	98	12	if	if	SCONJ
ejpam-3698	98	13	t	t	PROPN
ejpam-3698	98	14	∈	∈	PROPN
ejpam-3698	98	15	(	(	PUNCT
ejpam-3698	98	16	t1	t1	NOUN
ejpam-3698	98	17	,	,	PUNCT
ejpam-3698	98	18	t2	t2	PROPN
ejpam-3698	98	19	]	]	PUNCT
ejpam-3698	98	20	then	then	ADV
ejpam-3698	98	21	the	the	DET
ejpam-3698	98	22	solution	solution	NOUN
ejpam-3698	98	23	of	of	ADP
ejpam-3698	98	24	the	the	DET
ejpam-3698	98	25	considered	consider	VERB
ejpam-3698	98	26	boundary	boundary	ADJ
ejpam-3698	98	27	value	value	NOUN
ejpam-3698	98	28	problem	problem	NOUN
ejpam-3698	98	29	can	can	AUX
ejpam-3698	98	30	be	be	AUX
ejpam-3698	98	31	presented	present	VERB
ejpam-3698	98	32	in	in	ADP
ejpam-3698	98	33	the	the	DET
ejpam-3698	98	34	form	form	NOUN
ejpam-3698	98	35	x(t	x(t	PROPN
ejpam-3698	98	36	)	)	PUNCT
ejpam-3698	98	37	=	=	SYM
ejpam-3698	98	38	n−1α+	n−1α+	PROPN
ejpam-3698	99	1	t∫	t∫	PRON
ejpam-3698	99	2	0	0	NUM
ejpam-3698	99	3	g2(t	g2(t	PROPN
ejpam-3698	99	4	,	,	PUNCT
ejpam-3698	99	5	τ)y(τ)dτ	τ)y(τ)dτ	NOUN
ejpam-3698	99	6	.	.	PUNCT
ejpam-3698	100	1	continuing	continue	VERB
ejpam-3698	100	2	this	this	DET
ejpam-3698	100	3	process	process	NOUN
ejpam-3698	100	4	in	in	ADP
ejpam-3698	100	5	a	a	DET
ejpam-3698	100	6	similar	similar	ADJ
ejpam-3698	100	7	way	way	NOUN
ejpam-3698	100	8	,	,	PUNCT
ejpam-3698	100	9	for	for	ADP
ejpam-3698	100	10	the	the	DET
ejpam-3698	100	11	segment	segment	NOUN
ejpam-3698	100	12	t	t	PROPN
ejpam-3698	100	13	∈	∈	PROPN
ejpam-3698	100	14	(	(	PUNCT
ejpam-3698	100	15	ti	ti	NOUN
ejpam-3698	100	16	,	,	PUNCT
ejpam-3698	100	17	ti+1	ti+1	NOUN
ejpam-3698	100	18	]	]	X
ejpam-3698	100	19	we	we	PRON
ejpam-3698	100	20	get	get	VERB
ejpam-3698	100	21	gi	gi	INTJ
ejpam-3698	100	22	(	(	PUNCT
ejpam-3698	100	23	t	t	PROPN
ejpam-3698	100	24	,	,	PUNCT
ejpam-3698	100	25	τ	τ	X
ejpam-3698	100	26	)	)	PUNCT
ejpam-3698	100	27	=	=	SYM
ejpam-3698	101	1			X
ejpam-3698	101	2	n−1l0	n−1l0	PROPN
ejpam-3698	101	3	,	,	PUNCT
ejpam-3698	101	4	t0	t0	PROPN
ejpam-3698	101	5	≤	≤	NUM
ejpam-3698	101	6	τ	τ	PROPN
ejpam-3698	101	7	≤	≤	PROPN
ejpam-3698	101	8	t1	t1	PROPN
ejpam-3698	101	9	,	,	PUNCT
ejpam-3698	101	10	n−1	n−1	PROPN
ejpam-3698	101	11	(	(	PUNCT
ejpam-3698	101	12	1∑	1∑	PROPN
ejpam-3698	101	13	i=0	i=0	PROPN
ejpam-3698	101	14	li	li	PROPN
ejpam-3698	101	15	)	)	PUNCT
ejpam-3698	101	16	,	,	PUNCT
ejpam-3698	101	17	t1	t1	NOUN
ejpam-3698	101	18	<	<	X
ejpam-3698	101	19	τ	τ	PROPN
ejpam-3698	101	20	≤	≤	PROPN
ejpam-3698	101	21	t2	t2	NOUN
ejpam-3698	101	22	,	,	PUNCT
ejpam-3698	101	23	................................................	................................................	PUNCT
ejpam-3698	102	1	n−1	n−1	PROPN
ejpam-3698	102	2	(	(	PUNCT
ejpam-3698	102	3	i−1∑	i−1∑	NUM
ejpam-3698	102	4	k=0	k=0	PROPN
ejpam-3698	102	5	lk	lk	NOUN
ejpam-3698	102	6	)	)	PUNCT
ejpam-3698	102	7	,	,	PUNCT
ejpam-3698	102	8	ti−1	ti−1	VERB
ejpam-3698	102	9	<	<	X
ejpam-3698	102	10	τ	τ	X
ejpam-3698	102	11	≤	≤	X
ejpam-3698	102	12	ti	ti	NOUN
ejpam-3698	102	13	,	,	PUNCT
ejpam-3698	102	14	n−1	n−1	PROPN
ejpam-3698	102	15	(	(	PUNCT
ejpam-3698	102	16	i∑	i∑	PROPN
ejpam-3698	102	17	k=0	k=0	PROPN
ejpam-3698	102	18	lk	lk	NOUN
ejpam-3698	102	19	)	)	PUNCT
ejpam-3698	102	20	,	,	PUNCT
ejpam-3698	102	21	ti	ti	X
ejpam-3698	102	22	<	<	X
ejpam-3698	102	23	τ	τ	PROPN
ejpam-3698	102	24	≤	≤	PROPN
ejpam-3698	102	25	t	t	PROPN
ejpam-3698	102	26	,	,	PUNCT
ejpam-3698	102	27	−n−1	−n−1	NUM
ejpam-3698	102	28	(	(	PUNCT
ejpam-3698	102	29	m∑	m∑	INTJ
ejpam-3698	102	30	k	k	X
ejpam-3698	102	31	=	=	PROPN
ejpam-3698	102	32	i+1	i+1	X
ejpam-3698	102	33	li	li	NOUN
ejpam-3698	102	34	)	)	PUNCT
ejpam-3698	102	35	,	,	PUNCT
ejpam-3698	102	36	t	t	X
ejpam-3698	102	37	<	<	X
ejpam-3698	102	38	τ	τ	PROPN
ejpam-3698	102	39	≤	≤	PROPN
ejpam-3698	102	40	ti+1	ti+1	NOUN
ejpam-3698	102	41	,	,	PUNCT
ejpam-3698	102	42	−n−1	−n−1	NUM
ejpam-3698	102	43	(	(	PUNCT
ejpam-3698	102	44	m∑	m∑	ADV
ejpam-3698	102	45	k	k	X
ejpam-3698	102	46	=	=	PROPN
ejpam-3698	102	47	i+2	i+2	X
ejpam-3698	102	48	li	li	PROPN
ejpam-3698	102	49	)	)	PUNCT
ejpam-3698	102	50	,	,	PUNCT
ejpam-3698	102	51	ti+1	ti+1	X
ejpam-3698	102	52	<	<	X
ejpam-3698	102	53	τ	τ	X
ejpam-3698	102	54	≤	≤	PROPN
ejpam-3698	102	55	ti+2	ti+2	PROPN
ejpam-3698	102	56	,	,	PUNCT
ejpam-3698	102	57	................................................	................................................	PUNCT
ejpam-3698	103	1	−n−1lm	−n−1lm	NOUN
ejpam-3698	103	2	,	,	PUNCT
ejpam-3698	103	3	tm−1	tm−1	NOUN
ejpam-3698	103	4	<	<	X
ejpam-3698	103	5	τ	τ	X
ejpam-3698	103	6	≤	≤	PUNCT
ejpam-3698	103	7	t.	t.	NOUN
ejpam-3698	104	1	finally	finally	ADV
ejpam-3698	104	2	we	we	PRON
ejpam-3698	104	3	see	see	VERB
ejpam-3698	104	4	that	that	SCONJ
ejpam-3698	104	5	the	the	DET
ejpam-3698	104	6	solution	solution	NOUN
ejpam-3698	104	7	of	of	ADP
ejpam-3698	104	8	boundary	boundary	ADJ
ejpam-3698	104	9	value	value	NOUN
ejpam-3698	104	10	problem	problem	NOUN
ejpam-3698	104	11	(	(	PUNCT
ejpam-3698	104	12	1)-(2	1)-(2	NUM
ejpam-3698	104	13	)	)	PUNCT
ejpam-3698	104	14	may	may	AUX
ejpam-3698	104	15	be	be	AUX
ejpam-3698	104	16	presented	present	VERB
ejpam-3698	104	17	in	in	ADP
ejpam-3698	104	18	the	the	DET
ejpam-3698	104	19	form	form	NOUN
ejpam-3698	104	20	x(t	x(t	PROPN
ejpam-3698	104	21	)	)	PUNCT
ejpam-3698	105	1	=	=	SYM
ejpam-3698	105	2	n−1α+	n−1α+	PROPN
ejpam-3698	105	3	t∫	t∫	PRON
ejpam-3698	105	4	0	0	NUM
ejpam-3698	105	5	g(t	g(t	PROPN
ejpam-3698	105	6	,	,	PUNCT
ejpam-3698	105	7	τ)y(τ)dτ	τ)y(τ)dτ	NOUN
ejpam-3698	105	8	.	.	PUNCT
ejpam-3698	106	1	proof	proof	NOUN
ejpam-3698	106	2	is	be	AUX
ejpam-3698	106	3	completed	complete	VERB
ejpam-3698	106	4	.	.	PUNCT
ejpam-3698	107	1	lemma	lemma	PROPN
ejpam-3698	107	2	2	2	X
ejpam-3698	107	3	.	.	PUNCT
ejpam-3698	108	1	let	let	VERB
ejpam-3698	108	2	f	f	PROPN
ejpam-3698	108	3	∈	∈	PROPN
ejpam-3698	108	4	c([0	c([0	PROPN
ejpam-3698	108	5	,	,	PUNCT
ejpam-3698	108	6	t	t	X
ejpam-3698	108	7	]	]	X
ejpam-3698	108	8	×rn;rn	×rn;rn	NUM
ejpam-3698	108	9	)	)	PUNCT
ejpam-3698	108	10	.	.	PUNCT
ejpam-3698	109	1	then	then	ADV
ejpam-3698	109	2	the	the	DET
ejpam-3698	109	3	function	function	NOUN
ejpam-3698	109	4	x(t	x(t	PROPN
ejpam-3698	109	5	)	)	PUNCT
ejpam-3698	109	6	is	be	AUX
ejpam-3698	109	7	a	a	DET
ejpam-3698	109	8	solution	solution	NOUN
ejpam-3698	109	9	of	of	ADP
ejpam-3698	109	10	boundary	boundary	ADJ
ejpam-3698	109	11	value	value	NOUN
ejpam-3698	109	12	problem	problem	NOUN
ejpam-3698	109	13	(	(	PUNCT
ejpam-3698	109	14	1)-(2	1)-(2	NUM
ejpam-3698	109	15	)	)	PUNCT
ejpam-3698	109	16	if	if	SCONJ
ejpam-3698	109	17	and	and	CCONJ
ejpam-3698	109	18	only	only	ADV
ejpam-3698	109	19	if	if	SCONJ
ejpam-3698	109	20	x(t	x(t	PROPN
ejpam-3698	109	21	)	)	PUNCT
ejpam-3698	109	22	is	be	AUX
ejpam-3698	109	23	a	a	DET
ejpam-3698	109	24	solution	solution	NOUN
ejpam-3698	109	25	of	of	ADP
ejpam-3698	109	26	the	the	DET
ejpam-3698	109	27	integral	integral	ADJ
ejpam-3698	109	28	equation	equation	NOUN
ejpam-3698	109	29	y.a.sharifov	y.a.sharifov	PROPN
ejpam-3698	109	30	et	et	PROPN
ejpam-3698	109	31	al	al	PROPN
ejpam-3698	109	32	.	.	PUNCT
ejpam-3698	109	33	/	/	SYM
ejpam-3698	109	34	eur	eur	PROPN
ejpam-3698	109	35	.	.	PUNCT
ejpam-3698	110	1	j.	j.	PROPN
ejpam-3698	110	2	pure	pure	PROPN
ejpam-3698	110	3	appl	appl	PROPN
ejpam-3698	110	4	.	.	PROPN
ejpam-3698	110	5	math	math	PROPN
ejpam-3698	110	6	,	,	PUNCT
ejpam-3698	110	7	13	13	NUM
ejpam-3698	110	8	(	(	PUNCT
ejpam-3698	110	9	3	3	NUM
ejpam-3698	110	10	)	)	PUNCT
ejpam-3698	110	11	(	(	PUNCT
ejpam-3698	110	12	2020	2020	NUM
ejpam-3698	110	13	)	)	PUNCT
ejpam-3698	110	14	,	,	PUNCT
ejpam-3698	110	15	414	414	NUM
ejpam-3698	110	16	-	-	SYM
ejpam-3698	110	17	426	426	NUM
ejpam-3698	110	18	420	420	NUM
ejpam-3698	110	19	x(t	x(t	PROPN
ejpam-3698	110	20	)	)	PUNCT
ejpam-3698	110	21	=	=	SYM
ejpam-3698	111	1	n−1α+	n−1α+	PROPN
ejpam-3698	111	2	t∫	t∫	PRON
ejpam-3698	111	3	0	0	NUM
ejpam-3698	111	4	g(t	g(t	PROPN
ejpam-3698	111	5	,	,	PUNCT
ejpam-3698	111	6	τ)f(τ	τ)f(τ	NOUN
ejpam-3698	111	7	,	,	PUNCT
ejpam-3698	111	8	x(τ))dτ	x(τ))dτ	PROPN
ejpam-3698	111	9	.	.	PUNCT
ejpam-3698	112	1	(	(	PUNCT
ejpam-3698	112	2	10	10	NUM
ejpam-3698	112	3	)	)	PUNCT
ejpam-3698	112	4	proof	proof	NOUN
ejpam-3698	112	5	.	.	PUNCT
ejpam-3698	113	1	let	let	VERB
ejpam-3698	113	2	x(t	x(t	PROPN
ejpam-3698	113	3	)	)	PUNCT
ejpam-3698	113	4	be	be	VERB
ejpam-3698	113	5	a	a	DET
ejpam-3698	113	6	solution	solution	NOUN
ejpam-3698	113	7	of	of	ADP
ejpam-3698	113	8	boundary	boundary	ADJ
ejpam-3698	113	9	value	value	NOUN
ejpam-3698	113	10	problem	problem	NOUN
ejpam-3698	113	11	(	(	PUNCT
ejpam-3698	113	12	1)-(2	1)-(2	NUM
ejpam-3698	113	13	)	)	PUNCT
ejpam-3698	113	14	.	.	PUNCT
ejpam-3698	114	1	this	this	DET
ejpam-3698	114	2	lemma	lemma	PROPN
ejpam-3698	114	3	can	can	AUX
ejpam-3698	114	4	be	be	AUX
ejpam-3698	114	5	proved	prove	VERB
ejpam-3698	114	6	analogously	analogously	ADV
ejpam-3698	114	7	to	to	ADP
ejpam-3698	114	8	lemma	lemma	PROPN
ejpam-3698	114	9	1	1	NUM
ejpam-3698	114	10	.	.	PUNCT
ejpam-3698	115	1	by	by	ADP
ejpam-3698	115	2	direct	direct	ADJ
ejpam-3698	115	3	checking	checking	NOUN
ejpam-3698	115	4	it	it	PRON
ejpam-3698	115	5	is	be	AUX
ejpam-3698	115	6	easy	easy	ADJ
ejpam-3698	115	7	to	to	PART
ejpam-3698	115	8	justify	justify	VERB
ejpam-3698	115	9	that	that	SCONJ
ejpam-3698	115	10	the	the	DET
ejpam-3698	115	11	solution	solution	NOUN
ejpam-3698	115	12	of	of	ADP
ejpam-3698	115	13	integral	integral	ADJ
ejpam-3698	115	14	equation	equation	NOUN
ejpam-3698	115	15	(	(	PUNCT
ejpam-3698	115	16	10	10	NUM
ejpam-3698	115	17	)	)	PUNCT
ejpam-3698	115	18	satisfies	satisfie	NOUN
ejpam-3698	115	19	also	also	ADV
ejpam-3698	115	20	boundary	boundary	ADJ
ejpam-3698	115	21	value	value	NOUN
ejpam-3698	115	22	problem	problem	NOUN
ejpam-3698	115	23	(	(	PUNCT
ejpam-3698	115	24	1)-(2	1)-(2	NUM
ejpam-3698	115	25	)	)	PUNCT
ejpam-3698	115	26	.	.	PUNCT
ejpam-3698	116	1	lemma	lemma	PROPN
ejpam-3698	116	2	2	2	NUM
ejpam-3698	116	3	is	be	AUX
ejpam-3698	116	4	proved	prove	VERB
ejpam-3698	116	5	.	.	PUNCT
ejpam-3698	117	1	3	3	X
ejpam-3698	117	2	.	.	X
ejpam-3698	117	3	main	main	ADJ
ejpam-3698	117	4	results	result	NOUN
ejpam-3698	117	5	let	let	VERB
ejpam-3698	117	6	us	we	PRON
ejpam-3698	117	7	set	set	VERB
ejpam-3698	117	8	the	the	DET
ejpam-3698	117	9	following	following	ADJ
ejpam-3698	117	10	conditions	condition	NOUN
ejpam-3698	117	11	:	:	PUNCT
ejpam-3698	117	12	(	(	PUNCT
ejpam-3698	117	13	h1	h1	PROPN
ejpam-3698	117	14	)	)	PUNCT
ejpam-3698	117	15	the	the	DET
ejpam-3698	117	16	function	function	NOUN
ejpam-3698	117	17	f	f	PROPN
ejpam-3698	117	18	∈	∈	PROPN
ejpam-3698	117	19	c([0	c([0	PROPN
ejpam-3698	117	20	,	,	PUNCT
ejpam-3698	117	21	t	t	X
ejpam-3698	117	22	]	]	PUNCT
ejpam-3698	117	23	×rn;rn	×rn;rn	X
ejpam-3698	117	24	)	)	PUNCT
ejpam-3698	117	25	is	be	AUX
ejpam-3698	117	26	continuous	continuous	ADJ
ejpam-3698	117	27	;	;	PUNCT
ejpam-3698	117	28	(	(	PUNCT
ejpam-3698	117	29	h2	h2	NOUN
ejpam-3698	117	30	)	)	PUNCT
ejpam-3698	117	31	there	there	PRON
ejpam-3698	117	32	exist	exist	VERB
ejpam-3698	117	33	a	a	DET
ejpam-3698	117	34	constant	constant	ADJ
ejpam-3698	117	35	m	m	NOUN
ejpam-3698	117	36	≥	≥	NOUN
ejpam-3698	117	37	0	0	NUM
ejpam-3698	117	38	such	such	ADJ
ejpam-3698	117	39	that	that	SCONJ
ejpam-3698	117	40	|f	|f	PROPN
ejpam-3698	117	41	(	(	PUNCT
ejpam-3698	117	42	t	t	PROPN
ejpam-3698	117	43	,	,	PUNCT
ejpam-3698	117	44	x)−	x)−	PROPN
ejpam-3698	117	45	f	f	PROPN
ejpam-3698	117	46	(	(	PUNCT
ejpam-3698	117	47	t	t	PROPN
ejpam-3698	117	48	,	,	PUNCT
ejpam-3698	117	49	y)|	y)|	PROPN
ejpam-3698	117	50	≤m	≤m	PROPN
ejpam-3698	117	51	|x−	|x−	PROPN
ejpam-3698	117	52	y|	y|	NOUN
ejpam-3698	117	53	for	for	ADP
ejpam-3698	117	54	t	t	PROPN
ejpam-3698	117	55	∈	∈	PROPN
ejpam-3698	118	1	[	[	X
ejpam-3698	118	2	0	0	NUM
ejpam-3698	118	3	,	,	PUNCT
ejpam-3698	118	4	t	t	X
ejpam-3698	118	5	]	]	PUNCT
ejpam-3698	118	6	each	each	PRON
ejpam-3698	118	7	and	and	CCONJ
ejpam-3698	118	8	all	all	PRON
ejpam-3698	118	9	x	x	NOUN
ejpam-3698	118	10	,	,	PUNCT
ejpam-3698	118	11	y	y	PROPN
ejpam-3698	118	12	∈	∈	PROPN
ejpam-3698	118	13	rn	rn	PROPN
ejpam-3698	118	14	;	;	PUNCT
ejpam-3698	118	15	(	(	PUNCT
ejpam-3698	118	16	h3	h3	NOUN
ejpam-3698	118	17	)	)	PUNCT
ejpam-3698	118	18	there	there	PRON
ejpam-3698	118	19	exists	exist	VERB
ejpam-3698	118	20	a	a	DET
ejpam-3698	118	21	constant	constant	ADJ
ejpam-3698	118	22	k	k	X
ejpam-3698	118	23	≥	≥	NOUN
ejpam-3698	118	24	0	0	NUM
ejpam-3698	118	25	such	such	ADJ
ejpam-3698	118	26	that	that	SCONJ
ejpam-3698	118	27	|f(t	|f(t	PROPN
ejpam-3698	118	28	,	,	PUNCT
ejpam-3698	118	29	x)|	x)|	PROPN
ejpam-3698	118	30	≤	≤	PROPN
ejpam-3698	118	31	k	k	PROPN
ejpam-3698	118	32	for	for	ADP
ejpam-3698	118	33	each	each	DET
ejpam-3698	118	34	t	t	NOUN
ejpam-3698	118	35	∈	∈	PROPN
ejpam-3698	119	1	[	[	X
ejpam-3698	119	2	0	0	NUM
ejpam-3698	119	3	,	,	PUNCT
ejpam-3698	119	4	t	t	NOUN
ejpam-3698	119	5	]	]	PUNCT
ejpam-3698	119	6	and	and	CCONJ
ejpam-3698	119	7	all	all	DET
ejpam-3698	119	8	x	x	PROPN
ejpam-3698	119	9	∈	∈	PROPN
ejpam-3698	119	10	rn	rn	PROPN
ejpam-3698	119	11	.	.	PUNCT
ejpam-3698	120	1	we	we	PRON
ejpam-3698	120	2	give	give	VERB
ejpam-3698	120	3	here	here	ADV
ejpam-3698	120	4	the	the	DET
ejpam-3698	120	5	following	follow	VERB
ejpam-3698	120	6	uniqueness	uniqueness	NOUN
ejpam-3698	120	7	result	result	NOUN
ejpam-3698	120	8	.	.	PUNCT
ejpam-3698	121	1	theorem	theorem	NOUN
ejpam-3698	121	2	1	1	NUM
ejpam-3698	121	3	.	.	PUNCT
ejpam-3698	121	4	assume	assume	VERB
ejpam-3698	121	5	that	that	SCONJ
ejpam-3698	121	6	,	,	PUNCT
ejpam-3698	121	7	assumptions(h1	assumptions(h1	PROPN
ejpam-3698	121	8	)	)	PUNCT
ejpam-3698	121	9	and	and	CCONJ
ejpam-3698	121	10	(	(	PUNCT
ejpam-3698	121	11	h2	h2	NOUN
ejpam-3698	121	12	)	)	PUNCT
ejpam-3698	121	13	hold	hold	VERB
ejpam-3698	121	14	and	and	CCONJ
ejpam-3698	121	15	l	l	NOUN
ejpam-3698	121	16	=	=	SYM
ejpam-3698	121	17	tsm	tsm	NOUN
ejpam-3698	121	18	<	<	X
ejpam-3698	121	19	1	1	NUM
ejpam-3698	121	20	,	,	PUNCT
ejpam-3698	121	21	(	(	PUNCT
ejpam-3698	121	22	11	11	NUM
ejpam-3698	121	23	)	)	PUNCT
ejpam-3698	121	24	where	where	SCONJ
ejpam-3698	121	25	s	s	NOUN
ejpam-3698	121	26	=	=	X
ejpam-3698	121	27	max	max	PROPN
ejpam-3698	122	1	[	[	X
ejpam-3698	122	2	0,t	0,t	X
ejpam-3698	122	3	]	]	X
ejpam-3698	122	4	×[0,t	×[0,t	NOUN
ejpam-3698	122	5	]	]	X
ejpam-3698	122	6	‖g	‖g	PROPN
ejpam-3698	122	7	(	(	PUNCT
ejpam-3698	122	8	t	t	PROPN
ejpam-3698	122	9	,	,	PUNCT
ejpam-3698	122	10	τ)‖	τ)‖	INTJ
ejpam-3698	122	11	.	.	PUNCT
ejpam-3698	123	1	then	then	ADV
ejpam-3698	123	2	boundary	boundary	ADJ
ejpam-3698	123	3	value	value	NOUN
ejpam-3698	123	4	problem	problem	NOUN
ejpam-3698	123	5	(	(	PUNCT
ejpam-3698	123	6	1)-(2	1)-(2	NUM
ejpam-3698	123	7	)	)	PUNCT
ejpam-3698	123	8	has	have	VERB
ejpam-3698	123	9	a	a	DET
ejpam-3698	123	10	unique	unique	ADJ
ejpam-3698	123	11	solution	solution	NOUN
ejpam-3698	123	12	on	on	ADP
ejpam-3698	123	13	[	[	X
ejpam-3698	123	14	0	0	NUM
ejpam-3698	123	15	,	,	PUNCT
ejpam-3698	123	16	t	t	X
ejpam-3698	123	17	]	]	PUNCT
ejpam-3698	123	18	.	.	PUNCT
ejpam-3698	124	1	proof	proof	NOUN
ejpam-3698	124	2	.	.	PUNCT
ejpam-3698	125	1	to	to	PART
ejpam-3698	125	2	prove	prove	VERB
ejpam-3698	125	3	the	the	DET
ejpam-3698	125	4	statement	statement	NOUN
ejpam-3698	125	5	of	of	ADP
ejpam-3698	125	6	the	the	DET
ejpam-3698	125	7	above	above	ADJ
ejpam-3698	125	8	theorem	theorem	NOUN
ejpam-3698	125	9	we	we	PRON
ejpam-3698	125	10	transform	transform	VERB
ejpam-3698	125	11	the	the	DET
ejpam-3698	125	12	boundary	boundary	ADJ
ejpam-3698	125	13	value	value	NOUN
ejpam-3698	125	14	problem	problem	NOUN
ejpam-3698	125	15	(	(	PUNCT
ejpam-3698	125	16	1)(2	1)(2	NUM
ejpam-3698	125	17	)	)	PUNCT
ejpam-3698	125	18	into	into	ADP
ejpam-3698	125	19	a	a	DET
ejpam-3698	125	20	fixed	fix	VERB
ejpam-3698	125	21	point	point	NOUN
ejpam-3698	125	22	problem	problem	NOUN
ejpam-3698	125	23	.	.	PUNCT
ejpam-3698	126	1	consider	consider	VERB
ejpam-3698	126	2	the	the	DET
ejpam-3698	126	3	operator	operator	NOUN
ejpam-3698	126	4	(	(	PUNCT
ejpam-3698	126	5	fx	fx	PROPN
ejpam-3698	126	6	)	)	PUNCT
ejpam-3698	126	7	(	(	PUNCT
ejpam-3698	126	8	t	t	NOUN
ejpam-3698	126	9	)	)	PUNCT
ejpam-3698	126	10	=	=	SYM
ejpam-3698	126	11	n−1α+	n−1α+	PROPN
ejpam-3698	127	1	t∫	t∫	PRON
ejpam-3698	127	2	0	0	NUM
ejpam-3698	127	3	g(t	g(t	PROPN
ejpam-3698	127	4	,	,	PUNCT
ejpam-3698	127	5	τ)f(τ	τ)f(τ	NOUN
ejpam-3698	127	6	,	,	PUNCT
ejpam-3698	127	7	x(τ))dτ	x(τ))dτ	PROPN
ejpam-3698	127	8	.	.	PUNCT
ejpam-3698	128	1	(	(	PUNCT
ejpam-3698	128	2	12	12	NUM
ejpam-3698	128	3	)	)	PUNCT
ejpam-3698	128	4	it	it	PRON
ejpam-3698	128	5	is	be	AUX
ejpam-3698	128	6	not	not	PART
ejpam-3698	128	7	difficult	difficult	ADJ
ejpam-3698	128	8	to	to	PART
ejpam-3698	128	9	see	see	VERB
ejpam-3698	128	10	that	that	PRON
ejpam-3698	129	1	f	f	NOUN
ejpam-3698	129	2	:	:	PUNCT
ejpam-3698	129	3	c	c	X
ejpam-3698	129	4	(	(	PUNCT
ejpam-3698	129	5	[	[	X
ejpam-3698	129	6	0	0	NUM
ejpam-3698	129	7	,	,	PUNCT
ejpam-3698	129	8	t	t	X
ejpam-3698	129	9	]	]	PUNCT
ejpam-3698	129	10	;	;	PUNCT
ejpam-3698	129	11	rn)→	rn)→	X
ejpam-3698	129	12	c	c	X
ejpam-3698	129	13	(	(	PUNCT
ejpam-3698	129	14	[	[	X
ejpam-3698	129	15	0	0	NUM
ejpam-3698	129	16	,	,	PUNCT
ejpam-3698	129	17	t	t	X
ejpam-3698	129	18	]	]	PUNCT
ejpam-3698	129	19	;	;	PUNCT
ejpam-3698	129	20	rn	rn	X
ejpam-3698	129	21	)	)	PUNCT
ejpam-3698	129	22	obviously	obviously	ADV
ejpam-3698	129	23	,	,	PUNCT
ejpam-3698	129	24	the	the	DET
ejpam-3698	129	25	fixed	fix	VERB
ejpam-3698	129	26	points	point	NOUN
ejpam-3698	129	27	of	of	ADP
ejpam-3698	129	28	the	the	DET
ejpam-3698	129	29	operator	operator	NOUN
ejpam-3698	129	30	f	f	NOUN
ejpam-3698	129	31	are	be	AUX
ejpam-3698	129	32	solutions	solution	NOUN
ejpam-3698	129	33	of	of	ADP
ejpam-3698	129	34	boundary	boundary	ADJ
ejpam-3698	129	35	problem	problem	NOUN
ejpam-3698	129	36	(	(	PUNCT
ejpam-3698	129	37	1)-(2	1)-(2	NUM
ejpam-3698	129	38	)	)	PUNCT
ejpam-3698	129	39	.	.	PUNCT
ejpam-3698	130	1	setting	set	VERB
ejpam-3698	130	2	max	max	PROPN
ejpam-3698	131	1	[	[	X
ejpam-3698	131	2	0,t	0,t	X
ejpam-3698	131	3	]	]	PUNCT
ejpam-3698	131	4	|f(t	|f(t	NOUN
ejpam-3698	131	5	,	,	PUNCT
ejpam-3698	131	6	0)|	0)|	NOUN
ejpam-3698	131	7	=	=	PUNCT
ejpam-3698	131	8	mf	mf	VERB
ejpam-3698	131	9	y.a.sharifov	y.a.sharifov	PROPN
ejpam-3698	131	10	et	et	PROPN
ejpam-3698	131	11	al	al	PROPN
ejpam-3698	131	12	.	.	PUNCT
ejpam-3698	131	13	/	/	SYM
ejpam-3698	131	14	eur	eur	PROPN
ejpam-3698	131	15	.	.	PUNCT
ejpam-3698	132	1	j.	j.	PROPN
ejpam-3698	132	2	pure	pure	PROPN
ejpam-3698	132	3	appl	appl	PROPN
ejpam-3698	132	4	.	.	PROPN
ejpam-3698	132	5	math	math	PROPN
ejpam-3698	132	6	,	,	PUNCT
ejpam-3698	132	7	13	13	NUM
ejpam-3698	132	8	(	(	PUNCT
ejpam-3698	132	9	3	3	NUM
ejpam-3698	132	10	)	)	PUNCT
ejpam-3698	132	11	(	(	PUNCT
ejpam-3698	132	12	2020	2020	NUM
ejpam-3698	132	13	)	)	PUNCT
ejpam-3698	132	14	,	,	PUNCT
ejpam-3698	132	15	414	414	NUM
ejpam-3698	132	16	-	-	SYM
ejpam-3698	132	17	426	426	NUM
ejpam-3698	132	18	421	421	NUM
ejpam-3698	132	19	we	we	PRON
ejpam-3698	132	20	take	take	VERB
ejpam-3698	132	21	r	r	NOUN
ejpam-3698	132	22	≥	≥	PRON
ejpam-3698	132	23	∥∥n−1d	∥∥n−1d	VERB
ejpam-3698	132	24	∥∥+mfts	∥∥+mft	NOUN
ejpam-3698	132	25	1−	1−	NUM
ejpam-3698	132	26	l	l	NOUN
ejpam-3698	132	27	we	we	PRON
ejpam-3698	132	28	show	show	VERB
ejpam-3698	132	29	that	that	SCONJ
ejpam-3698	132	30	fbr	fbr	PROPN
ejpam-3698	132	31	⊂	⊂	X
ejpam-3698	132	32	br	br	PROPN
ejpam-3698	132	33	,	,	PUNCT
ejpam-3698	132	34	where	where	SCONJ
ejpam-3698	132	35	br	br	NOUN
ejpam-3698	132	36	=	=	PRON
ejpam-3698	132	37	{	{	PUNCT
ejpam-3698	132	38	x	x	PUNCT
ejpam-3698	132	39	∈	∈	PROPN
ejpam-3698	132	40	c([0	c([0	PROPN
ejpam-3698	132	41	,	,	PUNCT
ejpam-3698	132	42	t	t	PROPN
ejpam-3698	132	43	]	]	X
ejpam-3698	132	44	rn	rn	NOUN
ejpam-3698	132	45	)	)	PUNCT
ejpam-3698	132	46	:	:	PUNCT
ejpam-3698	132	47	‖x‖	‖x‖	VERB
ejpam-3698	132	48	≤	≤	NOUN
ejpam-3698	133	1	r	r	NOUN
ejpam-3698	133	2	}	}	PUNCT
ejpam-3698	133	3	for	for	ADP
ejpam-3698	133	4	x	x	PROPN
ejpam-3698	133	5	∈	∈	PROPN
ejpam-3698	133	6	br	br	PROPN
ejpam-3698	133	7	,	,	PUNCT
ejpam-3698	133	8	using	use	VERB
ejpam-3698	133	9	(	(	PUNCT
ejpam-3698	133	10	h1	h1	PROPN
ejpam-3698	133	11	)	)	PUNCT
ejpam-3698	133	12	,	,	PUNCT
ejpam-3698	133	13	we	we	PRON
ejpam-3698	133	14	get	get	VERB
ejpam-3698	133	15	‖(fx)(t)‖	‖(fx)(t)‖	PROPN
ejpam-3698	133	16	≤	≤	NOUN
ejpam-3698	133	17	∥∥n−1α	∥∥n−1α	NOUN
ejpam-3698	133	18	∥∥+	∥∥+	PUNCT
ejpam-3698	134	1	t∫	t∫	DET
ejpam-3698	134	2	0	0	NUM
ejpam-3698	134	3	|g(t	|g(t	NOUN
ejpam-3698	134	4	,	,	PUNCT
ejpam-3698	134	5	τ)|	τ)|	PROPN
ejpam-3698	134	6	(	(	PUNCT
ejpam-3698	134	7	|f(τ	|f(τ	PROPN
ejpam-3698	134	8	,	,	PUNCT
ejpam-3698	135	1	x(τ))−	x(τ))−	ADJ
ejpam-3698	135	2	f(τ	f(τ	PROPN
ejpam-3698	135	3	,	,	PUNCT
ejpam-3698	135	4	0)|+	0)|+	PUNCT
ejpam-3698	135	5	|f(τ	|f(τ	NOUN
ejpam-3698	135	6	,	,	PUNCT
ejpam-3698	135	7	0)|)dτ	0)|)dτ	NUM
ejpam-3698	135	8	≤	≤	NUM
ejpam-3698	135	9	∥∥n−1d	∥∥n−1d	VERB
ejpam-3698	135	10	∥∥+	∥∥+	PUNCT
ejpam-3698	135	11	s	s	VERB
ejpam-3698	135	12	t∫	t∫	NUM
ejpam-3698	135	13	0	0	PUNCT
ejpam-3698	135	14	(	(	PUNCT
ejpam-3698	135	15	m	m	PROPN
ejpam-3698	135	16	|x|+mf	|x|+mf	ADJ
ejpam-3698	135	17	)	)	PUNCT
ejpam-3698	135	18	dt	dt	NOUN
ejpam-3698	135	19	≤	≤	PROPN
ejpam-3698	135	20	∥∥n−1d	∥∥n−1d	PROPN
ejpam-3698	135	21	∥∥+	∥∥+	PROPN
ejpam-3698	136	1	smrt	smrt	PROPN
ejpam-3698	136	2	+	+	PROPN
ejpam-3698	136	3	mfts	mft	NOUN
ejpam-3698	136	4	≤	≤	NUM
ejpam-3698	136	5	∥∥n−1α	∥∥n−1α	NOUN
ejpam-3698	136	6	∥∥+mfts	∥∥+mfts	PROPN
ejpam-3698	136	7	1−	1−	NUM
ejpam-3698	136	8	l	l	NOUN
ejpam-3698	136	9	≤	≤	PROPN
ejpam-3698	136	10	r.	r.	NOUN
ejpam-3698	136	11	in	in	ADP
ejpam-3698	136	12	order	order	NOUN
ejpam-3698	136	13	to	to	PART
ejpam-3698	136	14	show	show	VERB
ejpam-3698	136	15	that	that	SCONJ
ejpam-3698	136	16	the	the	DET
ejpam-3698	136	17	operator	operator	NOUN
ejpam-3698	136	18	f	f	PROPN
ejpam-3698	136	19	is	be	AUX
ejpam-3698	136	20	a	a	DET
ejpam-3698	136	21	contraction	contraction	NOUN
ejpam-3698	136	22	,	,	PUNCT
ejpam-3698	136	23	for	for	ADP
ejpam-3698	136	24	any	any	DET
ejpam-3698	136	25	x	x	NOUN
ejpam-3698	136	26	,	,	PUNCT
ejpam-3698	136	27	y	y	PROPN
ejpam-3698	136	28	∈	∈	PROPN
ejpam-3698	136	29	br	br	NOUN
ejpam-3698	136	30	we	we	PRON
ejpam-3698	136	31	have	have	VERB
ejpam-3698	136	32	|fx−	|fx−	NUM
ejpam-3698	136	33	fy|	fy|	PROPN
ejpam-3698	136	34	≤	≤	NOUN
ejpam-3698	137	1	t∫	t∫	DET
ejpam-3698	137	2	0	0	NUM
ejpam-3698	137	3	|g(t	|g(t	PROPN
ejpam-3698	137	4	,	,	PUNCT
ejpam-3698	137	5	τ	τ	PROPN
ejpam-3698	137	6	)	)	PUNCT
ejpam-3698	137	7	(	(	PUNCT
ejpam-3698	137	8	f(τ	f(τ	PROPN
ejpam-3698	137	9	,	,	PUNCT
ejpam-3698	137	10	x(τ))−	x(τ))−	PROPN
ejpam-3698	137	11	f(τ	f(τ	NOUN
ejpam-3698	137	12	,	,	PUNCT
ejpam-3698	137	13	y(τ))|dτ	y(τ))|dτ	ADJ
ejpam-3698	137	14	≤	≤	NOUN
ejpam-3698	138	1	t∫	t∫	DET
ejpam-3698	138	2	0	0	NUM
ejpam-3698	138	3	|g(t	|g(t	NOUN
ejpam-3698	138	4	,	,	PUNCT
ejpam-3698	138	5	τ)|	τ)|	PROPN
ejpam-3698	138	6	|f(τ	|f(τ	PROPN
ejpam-3698	138	7	,	,	PUNCT
ejpam-3698	138	8	x(τ))−	x(τ))−	ADJ
ejpam-3698	138	9	f(τ	f(τ	PROPN
ejpam-3698	138	10	,	,	PUNCT
ejpam-3698	138	11	y(τ))|	y(τ))|	PROPN
ejpam-3698	138	12	dτ	dτ	NOUN
ejpam-3698	138	13	≤	≤	X
ejpam-3698	138	14	sm	sm	VERB
ejpam-3698	138	15	t∫	t∫	PROPN
ejpam-3698	138	16	0	0	NUM
ejpam-3698	138	17	|x(t)−	|x(t)−	PROPN
ejpam-3698	138	18	y(t)|	y(t)|	NUM
ejpam-3698	138	19	dt	dt	X
ejpam-3698	138	20	≤smt	≤smt	PROPN
ejpam-3698	138	21	max	max	PROPN
ejpam-3698	139	1	[	[	X
ejpam-3698	139	2	0,t	0,t	X
ejpam-3698	139	3	]	]	PUNCT
ejpam-3698	139	4	|x(t)−	|x(t)−	PROPN
ejpam-3698	139	5	y(t)|	y(t)|	PRON
ejpam-3698	139	6	≤	≤	NUM
ejpam-3698	139	7	smt	smt	PROPN
ejpam-3698	139	8	‖x−	‖x−	PROPN
ejpam-3698	139	9	y‖	y‖	PROPN
ejpam-3698	139	10	or	or	CCONJ
ejpam-3698	139	11	‖fx−	‖fx−	PROPN
ejpam-3698	139	12	fy‖	fy‖	VERB
ejpam-3698	139	13	≤	≤	NUM
ejpam-3698	139	14	l	l	NOUN
ejpam-3698	139	15	‖x−	‖x−	PROPN
ejpam-3698	139	16	y‖	y‖	PROPN
ejpam-3698	139	17	.	.	PUNCT
ejpam-3698	140	1	as	as	SCONJ
ejpam-3698	140	2	one	one	PRON
ejpam-3698	140	3	can	can	AUX
ejpam-3698	140	4	see	see	VERB
ejpam-3698	140	5	f	f	PROPN
ejpam-3698	140	6	is	be	AUX
ejpam-3698	140	7	contraction	contraction	NOUN
ejpam-3698	140	8	by	by	ADP
ejpam-3698	140	9	condition	condition	NOUN
ejpam-3698	140	10	(	(	PUNCT
ejpam-3698	140	11	11	11	NUM
ejpam-3698	140	12	)	)	PUNCT
ejpam-3698	140	13	.	.	PUNCT
ejpam-3698	141	1	so	so	ADV
ejpam-3698	141	2	,	,	PUNCT
ejpam-3698	141	3	boundary	boundary	ADJ
ejpam-3698	141	4	value	value	NOUN
ejpam-3698	141	5	problem	problem	NOUN
ejpam-3698	141	6	(	(	PUNCT
ejpam-3698	141	7	1)(2	1)(2	NUM
ejpam-3698	141	8	)	)	PUNCT
ejpam-3698	141	9	has	have	VERB
ejpam-3698	141	10	a	a	DET
ejpam-3698	141	11	unique	unique	ADJ
ejpam-3698	141	12	solution	solution	NOUN
ejpam-3698	141	13	.	.	PUNCT
ejpam-3698	142	1	now	now	ADV
ejpam-3698	142	2	we	we	PRON
ejpam-3698	142	3	give	give	VERB
ejpam-3698	142	4	a	a	DET
ejpam-3698	142	5	theorem	theorem	NOUN
ejpam-3698	142	6	on	on	ADP
ejpam-3698	142	7	the	the	DET
ejpam-3698	142	8	existence	existence	NOUN
ejpam-3698	142	9	of	of	ADP
ejpam-3698	142	10	solutions	solution	NOUN
ejpam-3698	142	11	for	for	ADP
ejpam-3698	142	12	the	the	DET
ejpam-3698	142	13	considered	consider	VERB
ejpam-3698	142	14	problem	problem	NOUN
ejpam-3698	142	15	.	.	PUNCT
ejpam-3698	143	1	theorem	theorem	NOUN
ejpam-3698	143	2	2	2	NUM
ejpam-3698	143	3	.	.	X
ejpam-3698	143	4	assume	assume	VERB
ejpam-3698	143	5	conditions(h1	conditions(h1	PROPN
ejpam-3698	143	6	)	)	PUNCT
ejpam-3698	143	7	and	and	CCONJ
ejpam-3698	143	8	(	(	PUNCT
ejpam-3698	143	9	h3	h3	NOUN
ejpam-3698	143	10	)	)	PUNCT
ejpam-3698	143	11	hold	hold	NOUN
ejpam-3698	143	12	.	.	PUNCT
ejpam-3698	144	1	then	then	ADV
ejpam-3698	144	2	boundary	boundary	ADJ
ejpam-3698	144	3	value	value	NOUN
ejpam-3698	144	4	problem	problem	NOUN
ejpam-3698	144	5	(	(	PUNCT
ejpam-3698	144	6	1)(2	1)(2	NUM
ejpam-3698	144	7	)	)	PUNCT
ejpam-3698	144	8	has	have	VERB
ejpam-3698	144	9	at	at	ADV
ejpam-3698	144	10	least	least	ADV
ejpam-3698	144	11	one	one	NUM
ejpam-3698	144	12	solution	solution	NOUN
ejpam-3698	144	13	on	on	ADP
ejpam-3698	144	14	[	[	X
ejpam-3698	144	15	0	0	NUM
ejpam-3698	144	16	,	,	PUNCT
ejpam-3698	144	17	t	t	X
ejpam-3698	144	18	]	]	PUNCT
ejpam-3698	144	19	.	.	PUNCT
ejpam-3698	145	1	proof	proof	NOUN
ejpam-3698	145	2	.	.	PUNCT
ejpam-3698	146	1	let	let	VERB
ejpam-3698	146	2	f	f	PRON
ejpam-3698	146	3	be	be	AUX
ejpam-3698	146	4	the	the	DET
ejpam-3698	146	5	operator	operator	NOUN
ejpam-3698	146	6	defined	define	VERB
ejpam-3698	146	7	by	by	ADP
ejpam-3698	146	8	(	(	PUNCT
ejpam-3698	146	9	12	12	NUM
ejpam-3698	146	10	)	)	PUNCT
ejpam-3698	146	11	.	.	PUNCT
ejpam-3698	147	1	we	we	PRON
ejpam-3698	147	2	use	use	VERB
ejpam-3698	147	3	schaefer	schaefer	NOUN
ejpam-3698	147	4	’s	’s	PART
ejpam-3698	147	5	fixed	fix	VERB
ejpam-3698	147	6	point	point	NOUN
ejpam-3698	147	7	theorem	theorem	VERB
ejpam-3698	147	8	to	to	PART
ejpam-3698	147	9	prove	prove	VERB
ejpam-3698	147	10	that	that	SCONJ
ejpam-3698	147	11	f	f	PROPN
ejpam-3698	147	12	has	have	VERB
ejpam-3698	147	13	a	a	DET
ejpam-3698	147	14	fixed	fix	VERB
ejpam-3698	147	15	point	point	NOUN
ejpam-3698	147	16	.	.	PUNCT
ejpam-3698	148	1	first	first	ADV
ejpam-3698	148	2	we	we	PRON
ejpam-3698	148	3	show	show	VERB
ejpam-3698	148	4	that	that	SCONJ
ejpam-3698	148	5	f	f	PROPN
ejpam-3698	148	6	is	be	AUX
ejpam-3698	148	7	continuous	continuous	ADJ
ejpam-3698	148	8	.	.	PUNCT
ejpam-3698	149	1	to	to	PART
ejpam-3698	149	2	do	do	VERB
ejpam-3698	149	3	this	this	PRON
ejpam-3698	149	4	suppose	suppose	VERB
ejpam-3698	149	5	that	that	SCONJ
ejpam-3698	149	6	be	be	AUX
ejpam-3698	149	7	{	{	PUNCT
ejpam-3698	149	8	xn	xn	NOUN
ejpam-3698	149	9	}	}	PUNCT
ejpam-3698	149	10	a	a	DET
ejpam-3698	149	11	sequence	sequence	NOUN
ejpam-3698	149	12	such	such	ADJ
ejpam-3698	149	13	that	that	PRON
ejpam-3698	149	14	xn	xn	PUNCT
ejpam-3698	150	1	→	→	PUNCT
ejpam-3698	150	2	x	x	X
ejpam-3698	150	3	in	in	ADP
ejpam-3698	150	4	c	c	PROPN
ejpam-3698	150	5	(	(	PUNCT
ejpam-3698	150	6	[	[	X
ejpam-3698	150	7	0	0	NUM
ejpam-3698	150	8	,	,	PUNCT
ejpam-3698	150	9	t	t	X
ejpam-3698	150	10	]	]	PUNCT
ejpam-3698	150	11	;	;	PUNCT
ejpam-3698	150	12	rn	rn	PROPN
ejpam-3698	150	13	)	)	PUNCT
ejpam-3698	150	14	.	.	PUNCT
ejpam-3698	151	1	then	then	ADV
ejpam-3698	151	2	for	for	ADP
ejpam-3698	151	3	each	each	DET
ejpam-3698	151	4	t	t	NOUN
ejpam-3698	151	5	∈	∈	PROPN
ejpam-3698	152	1	[	[	X
ejpam-3698	152	2	0	0	NUM
ejpam-3698	152	3	,	,	PUNCT
ejpam-3698	152	4	t	t	NOUN
ejpam-3698	152	5	]	]	PUNCT
ejpam-3698	152	6	|(fx	|(fx	NUM
ejpam-3698	152	7	)	)	PUNCT
ejpam-3698	152	8	(	(	PUNCT
ejpam-3698	152	9	t)−	t)−	PROPN
ejpam-3698	152	10	(	(	PUNCT
ejpam-3698	152	11	fxn	fxn	NOUN
ejpam-3698	152	12	)	)	PUNCT
ejpam-3698	152	13	(	(	PUNCT
ejpam-3698	152	14	t)|	t)|	NOUN
ejpam-3698	152	15	=	=	SYM
ejpam-3698	152	16	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ejpam-3698	152	17	t∫	t∫	PRON
ejpam-3698	152	18	0	0	NUM
ejpam-3698	152	19	g	g	PROPN
ejpam-3698	152	20	(	(	PUNCT
ejpam-3698	152	21	t	t	PROPN
ejpam-3698	152	22	,	,	PUNCT
ejpam-3698	152	23	τ	τ	PROPN
ejpam-3698	152	24	)	)	PUNCT
ejpam-3698	152	25	(	(	PUNCT
ejpam-3698	152	26	f	f	X
ejpam-3698	152	27	(	(	PUNCT
ejpam-3698	152	28	τ	τ	PROPN
ejpam-3698	152	29	,	,	PUNCT
ejpam-3698	152	30	x	x	X
ejpam-3698	152	31	(	(	PUNCT
ejpam-3698	152	32	τ))−	τ))−	NOUN
ejpam-3698	152	33	f	f	X
ejpam-3698	152	34	(	(	PUNCT
ejpam-3698	152	35	τ	τ	PROPN
ejpam-3698	152	36	,	,	PUNCT
ejpam-3698	152	37	xn	xn	PROPN
ejpam-3698	152	38	(	(	PUNCT
ejpam-3698	152	39	τ)))dτ	τ)))dτ	VERB
ejpam-3698	152	40	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ejpam-3698	152	41	≤	≤	ADJ
ejpam-3698	152	42	tsm	tsm	NOUN
ejpam-3698	152	43	|x	|x	NOUN
ejpam-3698	152	44	(	(	PUNCT
ejpam-3698	152	45	t)−	t)−	PROPN
ejpam-3698	152	46	xn	xn	PROPN
ejpam-3698	153	1	(	(	PUNCT
ejpam-3698	153	2	t)|	t)|	ADV
ejpam-3698	153	3	≤	≤	ADJ
ejpam-3698	153	4	l	l	NOUN
ejpam-3698	153	5	‖x−	‖x−	PROPN
ejpam-3698	153	6	xn‖	xn‖	PROPN
ejpam-3698	153	7	.	.	PUNCT
ejpam-3698	154	1	y.a.sharifov	y.a.sharifov	PROPN
ejpam-3698	154	2	et	et	PROPN
ejpam-3698	154	3	al	al	PROPN
ejpam-3698	154	4	.	.	PUNCT
ejpam-3698	154	5	/	/	SYM
ejpam-3698	154	6	eur	eur	PROPN
ejpam-3698	154	7	.	.	PUNCT
ejpam-3698	155	1	j.	j.	PROPN
ejpam-3698	155	2	pure	pure	PROPN
ejpam-3698	155	3	appl	appl	PROPN
ejpam-3698	155	4	.	.	PROPN
ejpam-3698	155	5	math	math	PROPN
ejpam-3698	155	6	,	,	PUNCT
ejpam-3698	155	7	13	13	NUM
ejpam-3698	155	8	(	(	PUNCT
ejpam-3698	155	9	3	3	NUM
ejpam-3698	155	10	)	)	PUNCT
ejpam-3698	155	11	(	(	PUNCT
ejpam-3698	155	12	2020	2020	NUM
ejpam-3698	155	13	)	)	PUNCT
ejpam-3698	155	14	,	,	PUNCT
ejpam-3698	155	15	414	414	NUM
ejpam-3698	155	16	-	-	SYM
ejpam-3698	155	17	426	426	NUM
ejpam-3698	155	18	422	422	NUM
ejpam-3698	155	19	it	it	PRON
ejpam-3698	155	20	gives	give	VERB
ejpam-3698	155	21	‖(fx	‖(fx	NOUN
ejpam-3698	155	22	)	)	PUNCT
ejpam-3698	155	23	(	(	PUNCT
ejpam-3698	155	24	t)−	t)−	PROPN
ejpam-3698	155	25	(	(	PUNCT
ejpam-3698	155	26	fxn	fxn	NOUN
ejpam-3698	155	27	)	)	PUNCT
ejpam-3698	155	28	(	(	PUNCT
ejpam-3698	155	29	t)‖	t)‖	NOUN
ejpam-3698	155	30	→	→	SYM
ejpam-3698	155	31	0	0	NUM
ejpam-3698	155	32	as	as	ADP
ejpam-3698	155	33	n	n	NUM
ejpam-3698	155	34	→	→	SYM
ejpam-3698	155	35	∞	∞	PROPN
ejpam-3698	155	36	,	,	PUNCT
ejpam-3698	155	37	which	which	PRON
ejpam-3698	155	38	implies	imply	VERB
ejpam-3698	155	39	that	that	SCONJ
ejpam-3698	155	40	the	the	DET
ejpam-3698	155	41	operator	operator	NOUN
ejpam-3698	155	42	f	f	PROPN
ejpam-3698	155	43	is	be	AUX
ejpam-3698	155	44	continuous	continuous	ADJ
ejpam-3698	155	45	.	.	PUNCT
ejpam-3698	156	1	the	the	DET
ejpam-3698	156	2	next	next	ADJ
ejpam-3698	156	3	step	step	NOUN
ejpam-3698	156	4	is	be	AUX
ejpam-3698	156	5	to	to	PART
ejpam-3698	156	6	show	show	VERB
ejpam-3698	156	7	that	that	SCONJ
ejpam-3698	156	8	f	f	PROPN
ejpam-3698	156	9	maps	map	NOUN
ejpam-3698	156	10	bounded	bound	VERB
ejpam-3698	156	11	sets	set	NOUN
ejpam-3698	156	12	from	from	ADP
ejpam-3698	156	13	c	c	PROPN
ejpam-3698	156	14	(	(	PUNCT
ejpam-3698	156	15	[	[	X
ejpam-3698	156	16	0	0	NUM
ejpam-3698	156	17	,	,	PUNCT
ejpam-3698	156	18	t	t	X
ejpam-3698	156	19	]	]	PUNCT
ejpam-3698	156	20	;	;	PUNCT
ejpam-3698	156	21	rn	rn	PROPN
ejpam-3698	156	22	)	)	PUNCT
ejpam-3698	156	23	into	into	ADP
ejpam-3698	156	24	bounded	bounded	ADJ
ejpam-3698	156	25	sets	set	NOUN
ejpam-3698	156	26	in	in	ADP
ejpam-3698	156	27	c	c	PROPN
ejpam-3698	156	28	(	(	PUNCT
ejpam-3698	156	29	[	[	X
ejpam-3698	156	30	0	0	NUM
ejpam-3698	156	31	,	,	PUNCT
ejpam-3698	156	32	t	t	X
ejpam-3698	156	33	]	]	PUNCT
ejpam-3698	156	34	;	;	PUNCT
ejpam-3698	156	35	rn	rn	PROPN
ejpam-3698	156	36	)	)	PUNCT
ejpam-3698	156	37	.	.	PUNCT
ejpam-3698	157	1	to	to	PART
ejpam-3698	157	2	do	do	VERB
ejpam-3698	157	3	this	this	PRON
ejpam-3698	157	4	it	it	PRON
ejpam-3698	157	5	is	be	AUX
ejpam-3698	157	6	enough	enough	ADJ
ejpam-3698	157	7	to	to	PART
ejpam-3698	157	8	show	show	VERB
ejpam-3698	157	9	that	that	SCONJ
ejpam-3698	157	10	for	for	ADP
ejpam-3698	157	11	any	any	DET
ejpam-3698	157	12	η	η	PROPN
ejpam-3698	157	13	>	>	X
ejpam-3698	157	14	0	0	NUM
ejpam-3698	157	15	there	there	PRON
ejpam-3698	157	16	exists	exist	VERB
ejpam-3698	157	17	a	a	DET
ejpam-3698	157	18	positive	positive	ADJ
ejpam-3698	157	19	constant	constant	ADJ
ejpam-3698	157	20	ω	ω	NOUN
ejpam-3698	157	21	such	such	ADJ
ejpam-3698	157	22	that	that	PRON
ejpam-3698	157	23	for	for	ADP
ejpam-3698	157	24	each	each	DET
ejpam-3698	157	25	x	x	SYM
ejpam-3698	157	26	∈	∈	PROPN
ejpam-3698	157	27	bη	bη	NOUN
ejpam-3698	157	28	=	=	PUNCT
ejpam-3698	157	29	{	{	PUNCT
ejpam-3698	157	30	x	x	PUNCT
ejpam-3698	157	31	∈	∈	PROPN
ejpam-3698	157	32	c	c	X
ejpam-3698	157	33	(	(	PUNCT
ejpam-3698	157	34	[	[	X
ejpam-3698	157	35	0	0	NUM
ejpam-3698	157	36	,	,	PUNCT
ejpam-3698	157	37	t	t	X
ejpam-3698	157	38	]	]	PUNCT
ejpam-3698	157	39	;	;	PUNCT
ejpam-3698	157	40	rn	rn	PROPN
ejpam-3698	157	41	)	)	PUNCT
ejpam-3698	157	42	:	:	PUNCT
ejpam-3698	158	1	‖x‖	‖x‖	VERB
ejpam-3698	158	2	≤	≤	NUM
ejpam-3698	158	3	η	η	PROPN
ejpam-3698	158	4	}	}	PUNCT
ejpam-3698	158	5	we	we	PRON
ejpam-3698	158	6	have	have	VERB
ejpam-3698	158	7	‖f	‖f	PRON
ejpam-3698	158	8	(	(	PUNCT
ejpam-3698	158	9	x)‖	x)‖	PROPN
ejpam-3698	158	10	≤	≤	PROPN
ejpam-3698	158	11	ω	ω	PROPN
ejpam-3698	158	12	.	.	PUNCT
ejpam-3698	159	1	for	for	ADP
ejpam-3698	159	2	each	each	DET
ejpam-3698	159	3	t	t	NOUN
ejpam-3698	159	4	∈	∈	PROPN
ejpam-3698	160	1	[	[	X
ejpam-3698	160	2	0	0	NUM
ejpam-3698	160	3	,	,	PUNCT
ejpam-3698	160	4	t	t	PROPN
ejpam-3698	160	5	]	]	PUNCT
ejpam-3698	160	6	we	we	PRON
ejpam-3698	160	7	have	have	VERB
ejpam-3698	160	8	|(fx	|(fx	NOUN
ejpam-3698	160	9	)	)	PUNCT
ejpam-3698	160	10	(	(	PUNCT
ejpam-3698	160	11	t)|	t)|	ADV
ejpam-3698	160	12	≤	≤	ADJ
ejpam-3698	160	13	∣∣n−1α	∣∣n−1α	NOUN
ejpam-3698	160	14	∥∥+	∥∥+	X
ejpam-3698	160	15	tsk	tsk	PROPN
ejpam-3698	160	16	.	.	PROPN
ejpam-3698	161	1	from	from	ADP
ejpam-3698	161	2	this	this	PRON
ejpam-3698	161	3	we	we	PRON
ejpam-3698	161	4	obtain	obtain	VERB
ejpam-3698	161	5	‖(fx	‖(fx	NOUN
ejpam-3698	161	6	)	)	PUNCT
ejpam-3698	161	7	(	(	PUNCT
ejpam-3698	161	8	t)‖	t)‖	NOUN
ejpam-3698	161	9	≤	≤	NUM
ejpam-3698	161	10	∥∥n−1α	∥∥n−1α	VERB
ejpam-3698	161	11	∥∥+	∥∥+	X
ejpam-3698	161	12	tsk	tsk	PROPN
ejpam-3698	162	1	=	=	PROPN
ejpam-3698	162	2	ω	ω	PROPN
ejpam-3698	162	3	.	.	PUNCT
ejpam-3698	163	1	now	now	ADV
ejpam-3698	163	2	we	we	PRON
ejpam-3698	163	3	show	show	VERB
ejpam-3698	163	4	that	that	SCONJ
ejpam-3698	163	5	f	f	PROPN
ejpam-3698	163	6	maps	map	NOUN
ejpam-3698	163	7	bounded	bound	VERB
ejpam-3698	163	8	sets	set	NOUN
ejpam-3698	163	9	from	from	ADP
ejpam-3698	163	10	c	c	PROPN
ejpam-3698	163	11	(	(	PUNCT
ejpam-3698	163	12	[	[	X
ejpam-3698	163	13	0	0	NUM
ejpam-3698	163	14	,	,	PUNCT
ejpam-3698	163	15	t	t	X
ejpam-3698	163	16	]	]	PUNCT
ejpam-3698	163	17	;	;	PUNCT
ejpam-3698	163	18	rn	rn	PROPN
ejpam-3698	163	19	)	)	PUNCT
ejpam-3698	163	20	into	into	ADP
ejpam-3698	163	21	equicontinuous	equicontinuous	ADJ
ejpam-3698	163	22	sets	set	NOUN
ejpam-3698	163	23	in	in	ADP
ejpam-3698	163	24	c	c	PROPN
ejpam-3698	163	25	(	(	PUNCT
ejpam-3698	163	26	[	[	X
ejpam-3698	163	27	0	0	NUM
ejpam-3698	163	28	,	,	PUNCT
ejpam-3698	163	29	t	t	X
ejpam-3698	163	30	]	]	PUNCT
ejpam-3698	163	31	;	;	PUNCT
ejpam-3698	163	32	rn	rn	PROPN
ejpam-3698	163	33	)	)	PUNCT
ejpam-3698	163	34	.	.	PUNCT
ejpam-3698	164	1	take	take	VERB
ejpam-3698	164	2	ξ1	ξ1	NOUN
ejpam-3698	164	3	,	,	PUNCT
ejpam-3698	164	4	ξ2	ξ2	NOUN
ejpam-3698	164	5	∈	∈	PROPN
ejpam-3698	165	1	[	[	X
ejpam-3698	165	2	0	0	NUM
ejpam-3698	165	3	,	,	PUNCT
ejpam-3698	165	4	t	t	X
ejpam-3698	165	5	]	]	PUNCT
ejpam-3698	165	6	,	,	PUNCT
ejpam-3698	165	7	ξ1	ξ1	NOUN
ejpam-3698	165	8	<	<	X
ejpam-3698	165	9	ξ2	ξ2	NOUN
ejpam-3698	165	10	,	,	PUNCT
ejpam-3698	165	11	and	and	CCONJ
ejpam-3698	165	12	assume	assume	VERB
ejpam-3698	165	13	that	that	SCONJ
ejpam-3698	165	14	bη	bη	NOUN
ejpam-3698	165	15	is	be	AUX
ejpam-3698	165	16	a	a	DET
ejpam-3698	165	17	bounded	bound	VERB
ejpam-3698	165	18	set	set	NOUN
ejpam-3698	165	19	in	in	ADP
ejpam-3698	165	20	c	c	PROPN
ejpam-3698	165	21	(	(	PUNCT
ejpam-3698	165	22	[	[	X
ejpam-3698	165	23	0	0	NUM
ejpam-3698	165	24	,	,	PUNCT
ejpam-3698	165	25	t	t	X
ejpam-3698	165	26	]	]	PUNCT
ejpam-3698	165	27	;	;	PUNCT
ejpam-3698	165	28	rn	rn	X
ejpam-3698	165	29	)	)	PUNCT
ejpam-3698	165	30	and	and	CCONJ
ejpam-3698	165	31	let	let	VERB
ejpam-3698	165	32	x	x	X
ejpam-3698	165	33	∈	∈	PROPN
ejpam-3698	165	34	bη	bη	VERB
ejpam-3698	165	35	.	.	PUNCT
ejpam-3698	166	1	here	here	ADV
ejpam-3698	166	2	two	two	NUM
ejpam-3698	166	3	cases	case	NOUN
ejpam-3698	166	4	should	should	AUX
ejpam-3698	166	5	be	be	AUX
ejpam-3698	166	6	considered	consider	VERB
ejpam-3698	166	7	case	case	NOUN
ejpam-3698	166	8	1	1	X
ejpam-3698	166	9	.	.	PUNCT
ejpam-3698	167	1	let	let	VERB
ejpam-3698	167	2	ξ1	ξ1	NOUN
ejpam-3698	167	3	,	,	PUNCT
ejpam-3698	167	4	ξ2	ξ2	NOUN
ejpam-3698	167	5	∈	∈	PROPN
ejpam-3698	168	1	[	[	X
ejpam-3698	168	2	ti	ti	NOUN
ejpam-3698	168	3	,	,	PUNCT
ejpam-3698	168	4	ti	ti	X
ejpam-3698	168	5	+	+	PROPN
ejpam-3698	168	6	1	1	NUM
ejpam-3698	168	7	]	]	PUNCT
ejpam-3698	168	8	.	.	PUNCT
ejpam-3698	169	1	then	then	ADV
ejpam-3698	169	2	f	f	X
ejpam-3698	169	3	(	(	PUNCT
ejpam-3698	169	4	x	x	X
ejpam-3698	169	5	(	(	PUNCT
ejpam-3698	169	6	ξ2))−	ξ2))−	NOUN
ejpam-3698	169	7	f	f	X
ejpam-3698	169	8	(	(	PUNCT
ejpam-3698	169	9	x	x	PROPN
ejpam-3698	169	10	(	(	PUNCT
ejpam-3698	169	11	ξ1	ξ1	NOUN
ejpam-3698	169	12	)	)	PUNCT
ejpam-3698	169	13	)	)	PUNCT
ejpam-3698	170	1	=	=	SYM
ejpam-3698	170	2	ξ2∫	ξ2∫	NUM
ejpam-3698	170	3	ti	ti	X
ejpam-3698	170	4	n−1	n−1	PROPN
ejpam-3698	170	5	(	(	PUNCT
ejpam-3698	170	6	i∑	i∑	PROPN
ejpam-3698	170	7	k=0	k=0	PROPN
ejpam-3698	170	8	li	li	PROPN
ejpam-3698	170	9	)	)	PUNCT
ejpam-3698	170	10	f	f	PROPN
ejpam-3698	170	11	(	(	PUNCT
ejpam-3698	170	12	τ	τ	PROPN
ejpam-3698	170	13	,	,	PUNCT
ejpam-3698	170	14	x	x	X
ejpam-3698	170	15	(	(	PUNCT
ejpam-3698	170	16	τ))dτ	τ))dτ	PROPN
ejpam-3698	170	17	−	−	NOUN
ejpam-3698	170	18	ti+1∫	ti+1∫	PROPN
ejpam-3698	170	19	ξ2	ξ2	NOUN
ejpam-3698	170	20	n−1	n−1	PROPN
ejpam-3698	170	21	(	(	PUNCT
ejpam-3698	170	22	m∑	m∑	INTJ
ejpam-3698	170	23	k	k	X
ejpam-3698	170	24	=	=	PROPN
ejpam-3698	170	25	i+1	i+1	NOUN
ejpam-3698	170	26	li	li	NOUN
ejpam-3698	170	27	)	)	PUNCT
ejpam-3698	170	28	f	f	PROPN
ejpam-3698	170	29	(	(	PUNCT
ejpam-3698	170	30	τ	τ	PROPN
ejpam-3698	170	31	,	,	PUNCT
ejpam-3698	170	32	x	x	X
ejpam-3698	170	33	(	(	PUNCT
ejpam-3698	170	34	τ	τ	NOUN
ejpam-3698	170	35	)	)	PUNCT
ejpam-3698	170	36	)	)	PUNCT
ejpam-3698	170	37	dτ	dτ	NOUN
ejpam-3698	170	38	−	−	PROPN
ejpam-3698	171	1	ξ1∫	ξ1∫	NUM
ejpam-3698	171	2	ti	ti	X
ejpam-3698	171	3	n−1	n−1	PROPN
ejpam-3698	171	4	(	(	PUNCT
ejpam-3698	171	5	i∑	i∑	PROPN
ejpam-3698	171	6	k=0	k=0	PROPN
ejpam-3698	171	7	li	li	PROPN
ejpam-3698	171	8	)	)	PUNCT
ejpam-3698	171	9	f	f	PROPN
ejpam-3698	171	10	(	(	PUNCT
ejpam-3698	171	11	τ	τ	PROPN
ejpam-3698	171	12	,	,	PUNCT
ejpam-3698	171	13	x	x	X
ejpam-3698	171	14	(	(	PUNCT
ejpam-3698	171	15	τ))dτ	τ))dτ	PROPN
ejpam-3698	171	16	+	+	CCONJ
ejpam-3698	171	17	ti+1∫	ti+1∫	PROPN
ejpam-3698	171	18	ξ1	ξ1	PROPN
ejpam-3698	171	19	n−1	n−1	PROPN
ejpam-3698	171	20	(	(	PUNCT
ejpam-3698	171	21	m∑	m∑	INTJ
ejpam-3698	171	22	k	k	X
ejpam-3698	171	23	=	=	PROPN
ejpam-3698	171	24	i+1	i+1	NOUN
ejpam-3698	171	25	li	li	NOUN
ejpam-3698	171	26	)	)	PUNCT
ejpam-3698	171	27	f	f	PROPN
ejpam-3698	171	28	(	(	PUNCT
ejpam-3698	171	29	τ	τ	PROPN
ejpam-3698	171	30	,	,	PUNCT
ejpam-3698	171	31	x	x	X
ejpam-3698	171	32	(	(	PUNCT
ejpam-3698	171	33	τ	τ	NOUN
ejpam-3698	171	34	)	)	PUNCT
ejpam-3698	171	35	)	)	PUNCT
ejpam-3698	171	36	dτ	dτ	NOUN
ejpam-3698	171	37	=	=	SYM
ejpam-3698	171	38	ξ2∫	ξ2∫	NUM
ejpam-3698	171	39	ξ1	ξ1	PROPN
ejpam-3698	171	40	n−1	n−1	PROPN
ejpam-3698	171	41	(	(	PUNCT
ejpam-3698	171	42	i∑	i∑	PROPN
ejpam-3698	171	43	k=0	k=0	PROPN
ejpam-3698	171	44	li	li	PROPN
ejpam-3698	171	45	)	)	PUNCT
ejpam-3698	171	46	f	f	PROPN
ejpam-3698	171	47	(	(	PUNCT
ejpam-3698	171	48	τ	τ	PROPN
ejpam-3698	171	49	,	,	PUNCT
ejpam-3698	171	50	x	x	X
ejpam-3698	171	51	(	(	PUNCT
ejpam-3698	171	52	τ	τ	NOUN
ejpam-3698	171	53	)	)	PUNCT
ejpam-3698	171	54	)	)	PUNCT
ejpam-3698	171	55	dτ	dτ	NOUN
ejpam-3698	171	56	+	+	CCONJ
ejpam-3698	171	57	ξ2∫	ξ2∫	NUM
ejpam-3698	171	58	ξ1	ξ1	PROPN
ejpam-3698	171	59	n−1	n−1	PROPN
ejpam-3698	171	60	(	(	PUNCT
ejpam-3698	171	61	m∑	m∑	INTJ
ejpam-3698	171	62	k	k	X
ejpam-3698	171	63	=	=	PROPN
ejpam-3698	171	64	i+1	i+1	NOUN
ejpam-3698	172	1	li	li	NOUN
ejpam-3698	172	2	)	)	PUNCT
ejpam-3698	172	3	f	f	PROPN
ejpam-3698	172	4	(	(	PUNCT
ejpam-3698	172	5	τ	τ	PROPN
ejpam-3698	172	6	,	,	PUNCT
ejpam-3698	172	7	x	x	X
ejpam-3698	172	8	(	(	PUNCT
ejpam-3698	172	9	τ	τ	NOUN
ejpam-3698	172	10	)	)	PUNCT
ejpam-3698	172	11	)	)	PUNCT
ejpam-3698	172	12	dτ	dτ	NOUN
ejpam-3698	172	13	=	=	SYM
ejpam-3698	172	14	ξ2∫	ξ2∫	NUM
ejpam-3698	172	15	ξ1	ξ1	PROPN
ejpam-3698	172	16	f	f	X
ejpam-3698	172	17	(	(	PUNCT
ejpam-3698	172	18	τ	τ	PROPN
ejpam-3698	172	19	,	,	PUNCT
ejpam-3698	172	20	x	x	X
ejpam-3698	172	21	(	(	PUNCT
ejpam-3698	172	22	τ))dτ	τ))dτ	PROPN
ejpam-3698	172	23	.	.	PUNCT
ejpam-3698	172	24	case	case	NOUN
ejpam-3698	172	25	2	2	NUM
ejpam-3698	172	26	.	.	PUNCT
ejpam-3698	173	1	in	in	ADP
ejpam-3698	173	2	this	this	DET
ejpam-3698	173	3	case	case	NOUN
ejpam-3698	173	4	let	let	VERB
ejpam-3698	173	5	ξ1	ξ1	PROPN
ejpam-3698	173	6	∈	∈	PROPN
ejpam-3698	173	7	[	[	X
ejpam-3698	173	8	ti−1	ti−1	NOUN
ejpam-3698	173	9	,	,	PUNCT
ejpam-3698	173	10	ti	ti	NOUN
ejpam-3698	173	11	)	)	PUNCT
ejpam-3698	173	12	,	,	PUNCT
ejpam-3698	173	13	ξ2	ξ2	NOUN
ejpam-3698	173	14	∈	∈	PROPN
ejpam-3698	174	1	[	[	X
ejpam-3698	174	2	ti	ti	NOUN
ejpam-3698	174	3	,	,	PUNCT
ejpam-3698	174	4	ti+1	ti+1	NOUN
ejpam-3698	174	5	]	]	PUNCT
ejpam-3698	174	6	.	.	PUNCT
ejpam-3698	175	1	then	then	ADV
ejpam-3698	175	2	f	f	X
ejpam-3698	175	3	(	(	PUNCT
ejpam-3698	175	4	x	x	X
ejpam-3698	175	5	(	(	PUNCT
ejpam-3698	175	6	ξ2))−	ξ2))−	NOUN
ejpam-3698	175	7	f	f	X
ejpam-3698	175	8	(	(	PUNCT
ejpam-3698	175	9	x	x	PROPN
ejpam-3698	175	10	(	(	PUNCT
ejpam-3698	175	11	ξ1	ξ1	NOUN
ejpam-3698	175	12	)	)	PUNCT
ejpam-3698	175	13	)	)	PUNCT
ejpam-3698	176	1	=	=	NOUN
ejpam-3698	176	2	ti∫	ti∫	PROPN
ejpam-3698	176	3	ti−1	ti−1	NOUN
ejpam-3698	176	4	n−1	n−1	PROPN
ejpam-3698	176	5	(	(	PUNCT
ejpam-3698	176	6	i−1∑	i−1∑	NUM
ejpam-3698	176	7	k=0	k=0	PROPN
ejpam-3698	176	8	li	li	PROPN
ejpam-3698	176	9	)	)	PUNCT
ejpam-3698	176	10	f	f	PROPN
ejpam-3698	176	11	(	(	PUNCT
ejpam-3698	176	12	τ	τ	PROPN
ejpam-3698	176	13	,	,	PUNCT
ejpam-3698	176	14	x	x	X
ejpam-3698	176	15	(	(	PUNCT
ejpam-3698	176	16	τ	τ	NOUN
ejpam-3698	176	17	)	)	PUNCT
ejpam-3698	176	18	)	)	PUNCT
ejpam-3698	176	19	dτ	dτ	NOUN
ejpam-3698	177	1	+	+	SYM
ejpam-3698	177	2	ξ2∫	ξ2∫	NUM
ejpam-3698	177	3	ti	ti	NOUN
ejpam-3698	177	4	n−1	n−1	PROPN
ejpam-3698	177	5	(	(	PUNCT
ejpam-3698	177	6	i∑	i∑	PROPN
ejpam-3698	177	7	k=0	k=0	PROPN
ejpam-3698	177	8	li	li	PROPN
ejpam-3698	177	9	)	)	PUNCT
ejpam-3698	177	10	f	f	PROPN
ejpam-3698	177	11	(	(	PUNCT
ejpam-3698	177	12	τ	τ	PROPN
ejpam-3698	177	13	,	,	PUNCT
ejpam-3698	177	14	x	x	X
ejpam-3698	177	15	(	(	PUNCT
ejpam-3698	177	16	τ))dτ	τ))dτ	PROPN
ejpam-3698	177	17	−	−	NOUN
ejpam-3698	177	18	ti+1∫	ti+1∫	PROPN
ejpam-3698	177	19	ξ2	ξ2	NOUN
ejpam-3698	177	20	n−1	n−1	PROPN
ejpam-3698	177	21	(	(	PUNCT
ejpam-3698	177	22	m∑	m∑	INTJ
ejpam-3698	177	23	k	k	X
ejpam-3698	177	24	=	=	PROPN
ejpam-3698	177	25	i+1	i+1	NOUN
ejpam-3698	177	26	li	li	NOUN
ejpam-3698	177	27	)	)	PUNCT
ejpam-3698	177	28	f	f	PROPN
ejpam-3698	177	29	(	(	PUNCT
ejpam-3698	177	30	τ	τ	PROPN
ejpam-3698	177	31	,	,	PUNCT
ejpam-3698	177	32	x	x	X
ejpam-3698	177	33	(	(	PUNCT
ejpam-3698	177	34	τ	τ	NOUN
ejpam-3698	177	35	)	)	PUNCT
ejpam-3698	177	36	)	)	PUNCT
ejpam-3698	177	37	dτ	dτ	NOUN
ejpam-3698	178	1	−	−	PROPN
ejpam-3698	178	2	ξ1∫	ξ1∫	NUM
ejpam-3698	178	3	ti−1	ti−1	NOUN
ejpam-3698	178	4	n−1	n−1	PROPN
ejpam-3698	178	5	(	(	PUNCT
ejpam-3698	178	6	i−1∑	i−1∑	NUM
ejpam-3698	178	7	k=0	k=0	PROPN
ejpam-3698	178	8	li	li	PROPN
ejpam-3698	178	9	)	)	PUNCT
ejpam-3698	178	10	f	f	PROPN
ejpam-3698	178	11	(	(	PUNCT
ejpam-3698	178	12	τ	τ	PROPN
ejpam-3698	178	13	,	,	PUNCT
ejpam-3698	178	14	x	x	X
ejpam-3698	178	15	(	(	PUNCT
ejpam-3698	178	16	τ))dτ	τ))dτ	PROPN
ejpam-3698	178	17	+	+	NUM
ejpam-3698	178	18	ti∫	ti∫	PROPN
ejpam-3698	178	19	ξ1	ξ1	PROPN
ejpam-3698	178	20	n−1	n−1	PROPN
ejpam-3698	178	21	(	(	PUNCT
ejpam-3698	178	22	m∑	m∑	INTJ
ejpam-3698	178	23	k	k	X
ejpam-3698	178	24	=	=	PROPN
ejpam-3698	178	25	i	i	NOUN
ejpam-3698	178	26	li	li	PROPN
ejpam-3698	178	27	)	)	PUNCT
ejpam-3698	178	28	f	f	PROPN
ejpam-3698	178	29	(	(	PUNCT
ejpam-3698	178	30	τ	τ	PROPN
ejpam-3698	178	31	,	,	PUNCT
ejpam-3698	178	32	x	x	X
ejpam-3698	178	33	(	(	PUNCT
ejpam-3698	178	34	τ	τ	NOUN
ejpam-3698	178	35	)	)	PUNCT
ejpam-3698	178	36	)	)	PUNCT
ejpam-3698	178	37	dτ	dτ	NOUN
ejpam-3698	178	38	y.a.sharifov	y.a.sharifov	PROPN
ejpam-3698	178	39	et	et	PROPN
ejpam-3698	178	40	al	al	PROPN
ejpam-3698	178	41	.	.	PUNCT
ejpam-3698	178	42	/	/	SYM
ejpam-3698	178	43	eur	eur	PROPN
ejpam-3698	178	44	.	.	PUNCT
ejpam-3698	179	1	j.	j.	PROPN
ejpam-3698	179	2	pure	pure	PROPN
ejpam-3698	179	3	appl	appl	PROPN
ejpam-3698	179	4	.	.	PROPN
ejpam-3698	179	5	math	math	PROPN
ejpam-3698	179	6	,	,	PUNCT
ejpam-3698	179	7	13	13	NUM
ejpam-3698	179	8	(	(	PUNCT
ejpam-3698	179	9	3	3	NUM
ejpam-3698	179	10	)	)	PUNCT
ejpam-3698	179	11	(	(	PUNCT
ejpam-3698	179	12	2020	2020	NUM
ejpam-3698	179	13	)	)	PUNCT
ejpam-3698	179	14	,	,	PUNCT
ejpam-3698	179	15	414	414	NUM
ejpam-3698	179	16	-	-	SYM
ejpam-3698	179	17	426	426	NUM
ejpam-3698	179	18	423	423	NUM
ejpam-3698	179	19	+	+	NUM
ejpam-3698	179	20	ti+1∫	ti+1∫	X
ejpam-3698	179	21	ti	ti	X
ejpam-3698	179	22	n−1	n−1	PROPN
ejpam-3698	179	23	(	(	PUNCT
ejpam-3698	179	24	m∑	m∑	INTJ
ejpam-3698	179	25	k	k	X
ejpam-3698	179	26	=	=	PROPN
ejpam-3698	179	27	i+1	i+1	NOUN
ejpam-3698	179	28	li	li	NOUN
ejpam-3698	179	29	)	)	PUNCT
ejpam-3698	179	30	f	f	PROPN
ejpam-3698	179	31	(	(	PUNCT
ejpam-3698	179	32	τ	τ	PROPN
ejpam-3698	179	33	,	,	PUNCT
ejpam-3698	179	34	x	x	X
ejpam-3698	179	35	(	(	PUNCT
ejpam-3698	179	36	τ	τ	NOUN
ejpam-3698	179	37	)	)	PUNCT
ejpam-3698	179	38	)	)	PUNCT
ejpam-3698	179	39	dτ	dτ	NOUN
ejpam-3698	180	1	=	=	SYM
ejpam-3698	180	2	ti∫	ti∫	PROPN
ejpam-3698	180	3	ξ1	ξ1	PROPN
ejpam-3698	180	4	f	f	X
ejpam-3698	180	5	(	(	PUNCT
ejpam-3698	180	6	τ	τ	PROPN
ejpam-3698	180	7	,	,	PUNCT
ejpam-3698	180	8	x	x	X
ejpam-3698	180	9	(	(	PUNCT
ejpam-3698	180	10	τ))dτ	τ))dτ	NOUN
ejpam-3698	180	11	+	+	CCONJ
ejpam-3698	180	12	ξ2∫	ξ2∫	NUM
ejpam-3698	180	13	ti	ti	NOUN
ejpam-3698	180	14	f	f	X
ejpam-3698	180	15	(	(	PUNCT
ejpam-3698	180	16	τ	τ	PROPN
ejpam-3698	180	17	,	,	PUNCT
ejpam-3698	180	18	x	x	X
ejpam-3698	180	19	(	(	PUNCT
ejpam-3698	180	20	τ	τ	NOUN
ejpam-3698	180	21	)	)	PUNCT
ejpam-3698	180	22	)	)	PUNCT
ejpam-3698	180	23	dτ	dτ	NOUN
ejpam-3698	180	24	=	=	SYM
ejpam-3698	180	25	ξ2∫	ξ2∫	NUM
ejpam-3698	180	26	ξ1	ξ1	PROPN
ejpam-3698	180	27	f	f	X
ejpam-3698	180	28	(	(	PUNCT
ejpam-3698	180	29	τ	τ	PROPN
ejpam-3698	180	30	,	,	PUNCT
ejpam-3698	180	31	x	x	X
ejpam-3698	180	32	(	(	PUNCT
ejpam-3698	180	33	τ	τ	NOUN
ejpam-3698	180	34	)	)	PUNCT
ejpam-3698	180	35	)	)	PUNCT
ejpam-3698	180	36	dτ	dτ	PROPN
ejpam-3698	180	37	.	.	PROPN
ejpam-3698	181	1	as	as	ADP
ejpam-3698	181	2	t2	t2	PROPN
ejpam-3698	181	3	→	→	SYM
ejpam-3698	181	4	t1	t1	PROPN
ejpam-3698	181	5	,	,	PUNCT
ejpam-3698	181	6	the	the	DET
ejpam-3698	181	7	right	right	ADJ
ejpam-3698	181	8	-	-	PUNCT
ejpam-3698	181	9	hand	hand	NOUN
ejpam-3698	181	10	side	side	NOUN
ejpam-3698	181	11	of	of	ADP
ejpam-3698	181	12	both	both	PRON
ejpam-3698	181	13	above	above	ADP
ejpam-3698	181	14	equalities	equality	NOUN
ejpam-3698	181	15	tends	tend	VERB
ejpam-3698	181	16	to	to	ADP
ejpam-3698	181	17	zero	zero	NUM
ejpam-3698	181	18	.	.	PUNCT
ejpam-3698	182	1	considering	consider	VERB
ejpam-3698	182	2	the	the	DET
ejpam-3698	182	3	above	above	ADJ
ejpam-3698	182	4	results	result	NOUN
ejpam-3698	182	5	and	and	CCONJ
ejpam-3698	182	6	the	the	DET
ejpam-3698	182	7	arzela	arzela	PROPN
ejpam-3698	182	8	-	-	PUNCT
ejpam-3698	182	9	ascoli	ascoli	PROPN
ejpam-3698	182	10	theorem	theorem	PROPN
ejpam-3698	182	11	,	,	PUNCT
ejpam-3698	182	12	we	we	PRON
ejpam-3698	182	13	can	can	AUX
ejpam-3698	182	14	conclude	conclude	VERB
ejpam-3698	182	15	that	that	PRON
ejpam-3698	182	16	f	f	PROPN
ejpam-3698	182	17	:	:	PUNCT
ejpam-3698	183	1	c	c	X
ejpam-3698	183	2	(	(	PUNCT
ejpam-3698	183	3	[	[	X
ejpam-3698	183	4	0	0	NUM
ejpam-3698	183	5	,	,	PUNCT
ejpam-3698	183	6	t	t	X
ejpam-3698	183	7	]	]	PUNCT
ejpam-3698	183	8	;	;	PUNCT
ejpam-3698	183	9	rn	rn	X
ejpam-3698	183	10	)	)	PUNCT
ejpam-3698	183	11	→	→	SYM
ejpam-3698	183	12	c	c	X
ejpam-3698	183	13	(	(	PUNCT
ejpam-3698	183	14	[	[	X
ejpam-3698	183	15	0	0	NUM
ejpam-3698	183	16	,	,	PUNCT
ejpam-3698	183	17	t	t	X
ejpam-3698	183	18	]	]	PUNCT
ejpam-3698	183	19	;	;	PUNCT
ejpam-3698	183	20	rn	rn	X
ejpam-3698	183	21	)	)	PUNCT
ejpam-3698	183	22	is	be	AUX
ejpam-3698	183	23	completely	completely	ADV
ejpam-3698	183	24	continuous	continuous	ADJ
ejpam-3698	183	25	.	.	PUNCT
ejpam-3698	184	1	here	here	ADV
ejpam-3698	184	2	we	we	PRON
ejpam-3698	184	3	establish	establish	VERB
ejpam-3698	184	4	apriori	apriori	ADV
ejpam-3698	184	5	bounds	bound	NOUN
ejpam-3698	184	6	i.e.	i.e.	X
ejpam-3698	184	7	we	we	PRON
ejpam-3698	184	8	show	show	VERB
ejpam-3698	184	9	that	that	SCONJ
ejpam-3698	184	10	the	the	DET
ejpam-3698	184	11	set	set	NOUN
ejpam-3698	184	12	∆	∆	X
ejpam-3698	184	13	=	=	PRON
ejpam-3698	184	14	{	{	PUNCT
ejpam-3698	184	15	x	x	PUNCT
ejpam-3698	184	16	∈	∈	PROPN
ejpam-3698	184	17	c	c	X
ejpam-3698	184	18	(	(	PUNCT
ejpam-3698	184	19	[	[	X
ejpam-3698	184	20	0	0	NUM
ejpam-3698	184	21	,	,	PUNCT
ejpam-3698	184	22	t	t	X
ejpam-3698	184	23	]	]	PUNCT
ejpam-3698	184	24	;	;	PUNCT
ejpam-3698	184	25	rn	rn	PROPN
ejpam-3698	184	26	)	)	PUNCT
ejpam-3698	184	27	:	:	PUNCT
ejpam-3698	184	28	x	x	X
ejpam-3698	184	29	=	=	SYM
ejpam-3698	184	30	λf	λf	X
ejpam-3698	184	31	(	(	PUNCT
ejpam-3698	184	32	x	x	NOUN
ejpam-3698	184	33	)	)	PUNCT
ejpam-3698	184	34	}	}	PUNCT
ejpam-3698	184	35	for	for	ADP
ejpam-3698	184	36	some	some	PRON
ejpam-3698	184	37	0	0	NUM
ejpam-3698	184	38	<	<	X
ejpam-3698	184	39	λ	λ	X
ejpam-3698	184	40	<	<	X
ejpam-3698	184	41	1	1	NUM
ejpam-3698	184	42	is	be	AUX
ejpam-3698	184	43	bounded	bound	VERB
ejpam-3698	184	44	.	.	PUNCT
ejpam-3698	185	1	let	let	VERB
ejpam-3698	185	2	x	x	SYM
ejpam-3698	185	3	∈	∈	PROPN
ejpam-3698	186	1	∆.	∆.	X
ejpam-3698	186	2	then	then	ADV
ejpam-3698	186	3	x	x	X
ejpam-3698	186	4	=	=	SYM
ejpam-3698	186	5	λf	λf	X
ejpam-3698	186	6	(	(	PUNCT
ejpam-3698	186	7	x	x	NOUN
ejpam-3698	186	8	)	)	PUNCT
ejpam-3698	186	9	for	for	ADP
ejpam-3698	186	10	some	some	PRON
ejpam-3698	186	11	0	0	NUM
ejpam-3698	186	12	<	<	X
ejpam-3698	186	13	λ	λ	X
ejpam-3698	186	14	<	<	X
ejpam-3698	186	15	1	1	NUM
ejpam-3698	186	16	.	.	PUNCT
ejpam-3698	186	17	thus	thus	ADV
ejpam-3698	186	18	,	,	PUNCT
ejpam-3698	186	19	for	for	ADP
ejpam-3698	186	20	each	each	DET
ejpam-3698	186	21	t	t	NOUN
ejpam-3698	186	22	∈	∈	PROPN
ejpam-3698	187	1	[	[	X
ejpam-3698	187	2	0	0	NUM
ejpam-3698	187	3	,	,	PUNCT
ejpam-3698	187	4	t	t	PROPN
ejpam-3698	187	5	]	]	PUNCT
ejpam-3698	187	6	we	we	PRON
ejpam-3698	187	7	have	have	VERB
ejpam-3698	187	8	x(t	x(t	PROPN
ejpam-3698	187	9	)	)	PUNCT
ejpam-3698	187	10	=	=	SYM
ejpam-3698	188	1	λn−1α+	λn−1α+	NOUN
ejpam-3698	188	2	λ	λ	X
ejpam-3698	188	3	t∫	t∫	PRON
ejpam-3698	188	4	0	0	NUM
ejpam-3698	188	5	g(t	g(t	PROPN
ejpam-3698	188	6	,	,	PUNCT
ejpam-3698	188	7	τ)f(τ	τ)f(τ	NUM
ejpam-3698	188	8	,	,	PUNCT
ejpam-3698	188	9	x(τ))dτ	x(τ))dτ	PROPN
ejpam-3698	188	10	.	.	PUNCT
ejpam-3698	189	1	from	from	ADP
ejpam-3698	189	2	here	here	ADV
ejpam-3698	189	3	‖x‖	‖x‖	VERB
ejpam-3698	189	4	≤	≤	NOUN
ejpam-3698	189	5	∥∥n−1α	∥∥n−1α	NOUN
ejpam-3698	189	6	∥∥+	∥∥+	PROPN
ejpam-3698	189	7	skt	skt	PROPN
ejpam-3698	189	8	.	.	PUNCT
ejpam-3698	190	1	therefore	therefore	ADV
ejpam-3698	190	2	,	,	PUNCT
ejpam-3698	190	3	the	the	DET
ejpam-3698	190	4	set	set	NOUN
ejpam-3698	190	5	∆	∆	PROPN
ejpam-3698	190	6	is	be	AUX
ejpam-3698	190	7	bounded	bound	VERB
ejpam-3698	190	8	.	.	PUNCT
ejpam-3698	191	1	the	the	DET
ejpam-3698	191	2	statement	statement	NOUN
ejpam-3698	191	3	of	of	ADP
ejpam-3698	191	4	the	the	DET
ejpam-3698	191	5	schaefer	schaefer	NOUN
ejpam-3698	191	6	’s	’s	PART
ejpam-3698	191	7	fixed	fix	VERB
ejpam-3698	191	8	point	point	NOUN
ejpam-3698	191	9	theorem	theorem	NOUN
ejpam-3698	191	10	may	may	AUX
ejpam-3698	191	11	be	be	AUX
ejpam-3698	191	12	applied	apply	VERB
ejpam-3698	191	13	and	and	CCONJ
ejpam-3698	191	14	derived	derive	VERB
ejpam-3698	191	15	that	that	SCONJ
ejpam-3698	191	16	the	the	DET
ejpam-3698	191	17	operator	operator	NOUN
ejpam-3698	191	18	f	f	PROPN
ejpam-3698	191	19	has	have	VERB
ejpam-3698	191	20	at	at	ADV
ejpam-3698	191	21	least	least	ADV
ejpam-3698	191	22	one	one	NUM
ejpam-3698	191	23	fixed	fix	VERB
ejpam-3698	191	24	point	point	NOUN
ejpam-3698	191	25	.	.	PUNCT
ejpam-3698	192	1	so	so	ADV
ejpam-3698	192	2	,	,	PUNCT
ejpam-3698	192	3	there	there	PRON
ejpam-3698	192	4	exists	exist	VERB
ejpam-3698	192	5	at	at	ADP
ejpam-3698	192	6	least	least	ADV
ejpam-3698	192	7	one	one	NUM
ejpam-3698	192	8	solution	solution	NOUN
ejpam-3698	192	9	for	for	ADP
ejpam-3698	192	10	problems	problem	NOUN
ejpam-3698	192	11	(	(	PUNCT
ejpam-3698	192	12	1)(2	1)(2	NUM
ejpam-3698	192	13	)	)	PUNCT
ejpam-3698	192	14	on	on	ADP
ejpam-3698	192	15	[	[	X
ejpam-3698	192	16	0	0	NUM
ejpam-3698	192	17	,	,	PUNCT
ejpam-3698	192	18	t	t	X
ejpam-3698	192	19	]	]	PUNCT
ejpam-3698	192	20	.	.	PUNCT
ejpam-3698	193	1	4	4	X
ejpam-3698	193	2	.	.	X
ejpam-3698	193	3	conclusion	conclusion	NOUN
ejpam-3698	193	4	it	it	PRON
ejpam-3698	193	5	should	should	AUX
ejpam-3698	193	6	be	be	AUX
ejpam-3698	193	7	noted	note	VERB
ejpam-3698	193	8	that	that	SCONJ
ejpam-3698	193	9	the	the	DET
ejpam-3698	193	10	method	method	NOUN
ejpam-3698	193	11	considered	consider	VERB
ejpam-3698	193	12	in	in	ADP
ejpam-3698	193	13	this	this	DET
ejpam-3698	193	14	paper	paper	NOUN
ejpam-3698	193	15	are	be	AUX
ejpam-3698	193	16	general	general	ADJ
ejpam-3698	193	17	enough	enough	ADV
ejpam-3698	193	18	and	and	CCONJ
ejpam-3698	193	19	can	can	AUX
ejpam-3698	193	20	be	be	AUX
ejpam-3698	193	21	transformed	transform	VERB
ejpam-3698	193	22	to	to	ADP
ejpam-3698	193	23	the	the	DET
ejpam-3698	193	24	different	different	ADJ
ejpam-3698	193	25	forms	form	NOUN
ejpam-3698	193	26	to	to	PART
ejpam-3698	193	27	cover	cover	VERB
ejpam-3698	193	28	a	a	DET
ejpam-3698	193	29	wide	wide	ADJ
ejpam-3698	193	30	class	class	NOUN
ejpam-3698	193	31	of	of	ADP
ejpam-3698	193	32	problems	problem	NOUN
ejpam-3698	193	33	.	.	PUNCT
ejpam-3698	194	1	we	we	PRON
ejpam-3698	194	2	established	establish	VERB
ejpam-3698	194	3	here	here	ADV
ejpam-3698	194	4	the	the	DET
ejpam-3698	194	5	results	result	NOUN
ejpam-3698	194	6	on	on	ADP
ejpam-3698	194	7	the	the	DET
ejpam-3698	194	8	existence	existence	NOUN
ejpam-3698	194	9	and	and	CCONJ
ejpam-3698	194	10	uniqueness	uniqueness	NOUN
ejpam-3698	194	11	of	of	ADP
ejpam-3698	194	12	the	the	DET
ejpam-3698	194	13	solutions	solution	NOUN
ejpam-3698	194	14	for	for	ADP
ejpam-3698	194	15	the	the	DET
ejpam-3698	194	16	first	first	ADJ
ejpam-3698	194	17	order	order	NOUN
ejpam-3698	194	18	nonlinear	nonlinear	ADJ
ejpam-3698	194	19	differential	differential	ADJ
ejpam-3698	194	20	equations	equation	NOUN
ejpam-3698	194	21	with	with	ADP
ejpam-3698	194	22	multi	multi	ADJ
ejpam-3698	194	23	-	-	ADJ
ejpam-3698	194	24	point	point	ADJ
ejpam-3698	194	25	boundary	boundary	ADJ
ejpam-3698	194	26	conditions	condition	NOUN
ejpam-3698	194	27	.	.	PUNCT
ejpam-3698	195	1	given	give	VERB
ejpam-3698	195	2	in	in	ADP
ejpam-3698	195	3	the	the	DET
ejpam-3698	195	4	paper	paper	NOUN
ejpam-3698	195	5	method	method	NOUN
ejpam-3698	195	6	can	can	AUX
ejpam-3698	195	7	be	be	AUX
ejpam-3698	195	8	used	use	VERB
ejpam-3698	195	9	in	in	ADP
ejpam-3698	195	10	similar	similar	ADJ
ejpam-3698	195	11	multi	multi	ADJ
ejpam-3698	195	12	-	-	ADJ
ejpam-3698	195	13	point	point	ADJ
ejpam-3698	195	14	problems	problem	NOUN
ejpam-3698	195	15	for	for	ADP
ejpam-3698	195	16	the	the	DET
ejpam-3698	195	17	ordinary	ordinary	ADJ
ejpam-3698	195	18	differential	differential	ADJ
ejpam-3698	195	19	equations	equation	NOUN
ejpam-3698	195	20	ẋ	ẋ	PUNCT
ejpam-3698	196	1	=	=	PUNCT
ejpam-3698	196	2	f(t	f(t	NOUN
ejpam-3698	196	3	,	,	PUNCT
ejpam-3698	196	4	x	x	NOUN
ejpam-3698	196	5	)	)	PUNCT
ejpam-3698	196	6	,	,	PUNCT
ejpam-3698	196	7	t	t	PROPN
ejpam-3698	196	8	∈	∈	PROPN
ejpam-3698	197	1	[	[	X
ejpam-3698	197	2	0	0	NUM
ejpam-3698	197	3	,	,	PUNCT
ejpam-3698	197	4	t	t	X
ejpam-3698	197	5	]	]	PUNCT
ejpam-3698	197	6	,	,	PUNCT
ejpam-3698	197	7	with	with	ADP
ejpam-3698	197	8	multi	multi	ADJ
ejpam-3698	197	9	-	-	NOUN
ejpam-3698	197	10	point	point	NOUN
ejpam-3698	197	11	and	and	CCONJ
ejpam-3698	197	12	integral	integral	ADJ
ejpam-3698	197	13	boundary	boundary	ADJ
ejpam-3698	197	14	conditions	condition	NOUN
ejpam-3698	197	15	of	of	ADP
ejpam-3698	197	16	the	the	DET
ejpam-3698	197	17	form	form	NOUN
ejpam-3698	197	18	m∑	m∑	VERB
ejpam-3698	197	19	i=0	i=0	PROPN
ejpam-3698	197	20	lix	lix	PROPN
ejpam-3698	197	21	(	(	PUNCT
ejpam-3698	197	22	ti	ti	NOUN
ejpam-3698	197	23	)	)	PUNCT
ejpam-3698	197	24	+	+	CCONJ
ejpam-3698	197	25	t∫	t∫	PROPN
ejpam-3698	197	26	0	0	NUM
ejpam-3698	197	27	n	n	PROPN
ejpam-3698	197	28	(	(	PUNCT
ejpam-3698	197	29	t)x	t)x	X
ejpam-3698	197	30	(	(	PUNCT
ejpam-3698	197	31	t	t	NOUN
ejpam-3698	197	32	)	)	PUNCT
ejpam-3698	197	33	dt	dt	NOUN
ejpam-3698	198	1	=	=	SYM
ejpam-3698	198	2	α	α	X
ejpam-3698	198	3	.	.	PUNCT
ejpam-3698	199	1	here	here	ADV
ejpam-3698	199	2	0	0	X
ejpam-3698	199	3	=	=	SYM
ejpam-3698	199	4	t0	t0	PROPN
ejpam-3698	199	5	<	<	X
ejpam-3698	199	6	t1	t1	NOUN
ejpam-3698	199	7	<	<	X
ejpam-3698	199	8	...	...	PUNCT
ejpam-3698	199	9	<	<	X
ejpam-3698	199	10	tm−1	tm−1	NOUN
ejpam-3698	199	11	<	<	X
ejpam-3698	199	12	tm	tm	PROPN
ejpam-3698	199	13	=	=	PROPN
ejpam-3698	199	14	t	t	PROPN
ejpam-3698	199	15	;	;	PUNCT
ejpam-3698	199	16	n	n	PROPN
ejpam-3698	199	17	(	(	PUNCT
ejpam-3698	199	18	t	t	NOUN
ejpam-3698	199	19	)	)	PUNCT
ejpam-3698	199	20	∈	∈	PROPN
ejpam-3698	199	21	rn×n	rn×n	PROPN
ejpam-3698	199	22	is	be	AUX
ejpam-3698	199	23	a	a	DET
ejpam-3698	199	24	given	give	VERB
ejpam-3698	199	25	function	function	NOUN
ejpam-3698	199	26	;	;	PUNCT
ejpam-3698	199	27	li	li	PROPN
ejpam-3698	199	28	∈	∈	PROPN
ejpam-3698	199	29	rn×n	rn×n	PROPN
ejpam-3698	199	30	,	,	PUNCT
ejpam-3698	199	31	i	i	PRON
ejpam-3698	199	32	=	=	NOUN
ejpam-3698	199	33	1	1	NUM
ejpam-3698	199	34	,	,	PUNCT
ejpam-3698	199	35	2	2	NUM
ejpam-3698	199	36	,	,	PUNCT
ejpam-3698	199	37	...	...	PUNCT
ejpam-3698	199	38	,	,	PUNCT
ejpam-3698	199	39	m	m	VERB
ejpam-3698	199	40	are	be	AUX
ejpam-3698	199	41	given	give	VERB
ejpam-3698	199	42	matrices	matrix	NOUN
ejpam-3698	199	43	;	;	PUNCT
ejpam-3698	199	44	α	α	PROPN
ejpam-3698	199	45	∈	∈	PROPN
ejpam-3698	199	46	rn	rn	PROPN
ejpam-3698	199	47	is	be	AUX
ejpam-3698	199	48	a	a	DET
ejpam-3698	199	49	given	give	VERB
ejpam-3698	199	50	vector	vector	NOUN
ejpam-3698	199	51	;	;	PUNCT
ejpam-3698	199	52	and	and	CCONJ
ejpam-3698	199	53	detn	detn	NOUN
ejpam-3698	199	54	6=	6=	ADP
ejpam-3698	199	55	0	0	NUM
ejpam-3698	199	56	,	,	PUNCT
ejpam-3698	199	57	n	n	NOUN
ejpam-3698	199	58	=	=	SYM
ejpam-3698	199	59	m∑	m∑	NOUN
ejpam-3698	199	60	i=0	i=0	PROPN
ejpam-3698	199	61	li	li	PROPN
ejpam-3698	200	1	+	+	CCONJ
ejpam-3698	200	2	t∫	t∫	PROPN
ejpam-3698	200	3	0	0	NUM
ejpam-3698	200	4	n	n	PROPN
ejpam-3698	200	5	(	(	PUNCT
ejpam-3698	200	6	t	t	NOUN
ejpam-3698	200	7	)	)	PUNCT
ejpam-3698	200	8	dt	dt	PROPN
ejpam-3698	200	9	.	.	PUNCT
ejpam-3698	200	10	references	reference	NOUN
ejpam-3698	200	11	424	424	NUM
ejpam-3698	200	12	references	reference	NOUN
ejpam-3698	200	13	[	[	X
ejpam-3698	200	14	1	1	NUM
ejpam-3698	200	15	]	]	PUNCT
ejpam-3698	200	16	v	v	NOUN
ejpam-3698	200	17	m	m	NOUN
ejpam-3698	200	18	abdullayev	abdullayev	PROPN
ejpam-3698	200	19	.	.	PUNCT
ejpam-3698	201	1	numerical	numerical	ADJ
ejpam-3698	201	2	solution	solution	NOUN
ejpam-3698	201	3	to	to	ADP
ejpam-3698	201	4	optimal	optimal	ADJ
ejpam-3698	201	5	control	control	NOUN
ejpam-3698	201	6	problems	problem	NOUN
ejpam-3698	201	7	with	with	ADP
ejpam-3698	201	8	multipoint	multipoint	NOUN
ejpam-3698	201	9	and	and	CCONJ
ejpam-3698	201	10	integral	integral	ADJ
ejpam-3698	201	11	conditions	condition	NOUN
ejpam-3698	201	12	.	.	PUNCT
ejpam-3698	202	1	proceedings	proceeding	NOUN
ejpam-3698	202	2	of	of	ADP
ejpam-3698	202	3	the	the	DET
ejpam-3698	202	4	institute	institute	NOUN
ejpam-3698	202	5	of	of	ADP
ejpam-3698	202	6	mathematics	mathematics	PROPN
ejpam-3698	202	7	and	and	CCONJ
ejpam-3698	202	8	mechanics	mechanic	NOUN
ejpam-3698	202	9	,	,	PUNCT
ejpam-3698	202	10	national	national	PROPN
ejpam-3698	202	11	academy	academy	PROPN
ejpam-3698	202	12	of	of	ADP
ejpam-3698	202	13	sciences	sciences	PROPN
ejpam-3698	202	14	of	of	ADP
ejpam-3698	202	15	azerbaijan	azerbaijan	PROPN
ejpam-3698	202	16	,	,	PUNCT
ejpam-3698	202	17	44(2):171–186	44(2):171–186	PROPN
ejpam-3698	202	18	,	,	PUNCT
ejpam-3698	202	19	2018	2018	NUM
ejpam-3698	202	20	.	.	PUNCT
ejpam-3698	203	1	[	[	X
ejpam-3698	203	2	2	2	NUM
ejpam-3698	203	3	]	]	SYM
ejpam-3698	203	4	b	b	X
ejpam-3698	203	5	ahmad	ahmad	PROPN
ejpam-3698	203	6	,	,	PUNCT
ejpam-3698	203	7	s	s	PART
ejpam-3698	203	8	sivasundaram	sivasundaram	NOUN
ejpam-3698	203	9	,	,	PUNCT
ejpam-3698	203	10	and	and	CCONJ
ejpam-3698	203	11	r	r	X
ejpam-3698	203	12	a	a	DET
ejpam-3698	203	13	khan	khan	PROPN
ejpam-3698	203	14	.	.	PUNCT
ejpam-3698	204	1	generalized	generalized	ADJ
ejpam-3698	204	2	quasilinearization	quasilinearization	NOUN
ejpam-3698	204	3	method	method	NOUN
ejpam-3698	204	4	for	for	ADP
ejpam-3698	204	5	a	a	DET
ejpam-3698	204	6	first	first	ADJ
ejpam-3698	204	7	order	order	NOUN
ejpam-3698	204	8	differential	differential	ADJ
ejpam-3698	204	9	equation	equation	NOUN
ejpam-3698	204	10	with	with	ADP
ejpam-3698	204	11	integral	integral	ADJ
ejpam-3698	204	12	boundary	boundary	ADJ
ejpam-3698	204	13	condition	condition	NOUN
ejpam-3698	204	14	.	.	PUNCT
ejpam-3698	205	1	dyn	dyn	NOUN
ejpam-3698	205	2	.	.	PUNCT
ejpam-3698	206	1	contin	contin	AUX
ejpam-3698	206	2	.	.	PUNCT
ejpam-3698	207	1	discrete	discrete	ADJ
ejpam-3698	207	2	impuls	impul	NOUN
ejpam-3698	207	3	.	.	PUNCT
ejpam-3698	208	1	syst	syst	PROPN
ejpam-3698	208	2	.	.	PROPN
ejpam-3698	208	3	,	,	PUNCT
ejpam-3698	208	4	ser	ser	PROPN
ejpam-3698	208	5	.	.	PUNCT
ejpam-3698	209	1	a	a	DET
ejpam-3698	209	2	math	math	NOUN
ejpam-3698	209	3	.	.	PUNCT
ejpam-3698	210	1	anal	anal	ADJ
ejpam-3698	210	2	,	,	PUNCT
ejpam-3698	210	3	12(2):289–296	12(2):289–296	PROPN
ejpam-3698	210	4	,	,	PUNCT
ejpam-3698	210	5	2005	2005	NUM
ejpam-3698	210	6	.	.	PUNCT
ejpam-3698	211	1	[	[	X
ejpam-3698	211	2	3	3	X
ejpam-3698	211	3	]	]	X
ejpam-3698	211	4	k	k	PROPN
ejpam-3698	211	5	r	r	PROPN
ejpam-3698	211	6	aida	aida	NOUN
ejpam-3698	211	7	-	-	PUNCT
ejpam-3698	211	8	zade	zade	PROPN
ejpam-3698	211	9	.	.	PUNCT
ejpam-3698	212	1	an	an	DET
ejpam-3698	212	2	approach	approach	NOUN
ejpam-3698	212	3	for	for	ADP
ejpam-3698	212	4	solving	solve	VERB
ejpam-3698	212	5	nonlinearly	nonlinearly	ADV
ejpam-3698	212	6	loaded	load	VERB
ejpam-3698	212	7	problems	problem	NOUN
ejpam-3698	212	8	for	for	ADP
ejpam-3698	212	9	linear	linear	ADJ
ejpam-3698	212	10	ordinary	ordinary	ADJ
ejpam-3698	212	11	differential	differential	ADJ
ejpam-3698	212	12	equations	equation	NOUN
ejpam-3698	212	13	.	.	PUNCT
ejpam-3698	213	1	proceedings	proceeding	NOUN
ejpam-3698	213	2	of	of	ADP
ejpam-3698	213	3	the	the	DET
ejpam-3698	213	4	institute	institute	NOUN
ejpam-3698	213	5	of	of	ADP
ejpam-3698	213	6	mathematics	mathematics	PROPN
ejpam-3698	213	7	and	and	CCONJ
ejpam-3698	213	8	mechanics	mechanic	NOUN
ejpam-3698	213	9	,	,	PUNCT
ejpam-3698	213	10	national	national	PROPN
ejpam-3698	213	11	academy	academy	PROPN
ejpam-3698	213	12	of	of	ADP
ejpam-3698	213	13	sciences	sciences	PROPN
ejpam-3698	213	14	of	of	ADP
ejpam-3698	213	15	azerbaijan	azerbaijan	PROPN
ejpam-3698	213	16	,	,	PUNCT
ejpam-3698	213	17	44(2):338–350	44(2):338–350	PROPN
ejpam-3698	213	18	,	,	PUNCT
ejpam-3698	213	19	2018	2018	NUM
ejpam-3698	213	20	.	.	PUNCT
ejpam-3698	214	1	[	[	X
ejpam-3698	214	2	4	4	X
ejpam-3698	214	3	]	]	X
ejpam-3698	214	4	a	a	DET
ejpam-3698	214	5	alsaedi	alsaedi	NOUN
ejpam-3698	214	6	,	,	PUNCT
ejpam-3698	214	7	m	m	PROPN
ejpam-3698	214	8	alsulami	alsulami	NOUN
ejpam-3698	214	9	,	,	PUNCT
ejpam-3698	214	10	r	r	PROPN
ejpam-3698	214	11	p	p	PROPN
ejpam-3698	214	12	agarwal	agarwal	NOUN
ejpam-3698	214	13	,	,	PUNCT
ejpam-3698	214	14	and	and	CCONJ
ejpam-3698	214	15	b	b	X
ejpam-3698	214	16	ahmad	ahmad	PROPN
ejpam-3698	214	17	.	.	PUNCT
ejpam-3698	215	1	some	some	DET
ejpam-3698	215	2	new	new	ADJ
ejpam-3698	215	3	nonlinear	nonlinear	ADJ
ejpam-3698	215	4	secondorder	secondorder	NOUN
ejpam-3698	215	5	boundary	boundary	ADJ
ejpam-3698	215	6	value	value	NOUN
ejpam-3698	215	7	problems	problem	NOUN
ejpam-3698	215	8	on	on	ADP
ejpam-3698	215	9	an	an	DET
ejpam-3698	215	10	arbitrary	arbitrary	ADJ
ejpam-3698	215	11	domain	domain	NOUN
ejpam-3698	215	12	.	.	PUNCT
ejpam-3698	216	1	advances	advance	NOUN
ejpam-3698	216	2	in	in	ADP
ejpam-3698	216	3	difference	difference	NOUN
ejpam-3698	216	4	equations	equation	NOUN
ejpam-3698	216	5	,	,	PUNCT
ejpam-3698	216	6	2018(227	2018(227	NUM
ejpam-3698	216	7	)	)	PUNCT
ejpam-3698	216	8	,	,	PUNCT
ejpam-3698	216	9	2018	2018	NUM
ejpam-3698	216	10	.	.	PUNCT
ejpam-3698	217	1	[	[	X
ejpam-3698	217	2	5	5	NUM
ejpam-3698	217	3	]	]	PUNCT
ejpam-3698	217	4	a	a	DET
ejpam-3698	217	5	ashyralyev	ashyralyev	NOUN
ejpam-3698	217	6	and	and	CCONJ
ejpam-3698	217	7	y	y	PROPN
ejpam-3698	217	8	a	a	DET
ejpam-3698	217	9	sharifov	sharifov	NOUN
ejpam-3698	217	10	.	.	PUNCT
ejpam-3698	218	1	optimal	optimal	ADJ
ejpam-3698	218	2	control	control	NOUN
ejpam-3698	218	3	problem	problem	NOUN
ejpam-3698	218	4	for	for	ADP
ejpam-3698	218	5	impulsive	impulsive	ADJ
ejpam-3698	218	6	systems	system	NOUN
ejpam-3698	218	7	with	with	ADP
ejpam-3698	218	8	integral	integral	ADJ
ejpam-3698	218	9	boundary	boundary	ADJ
ejpam-3698	218	10	conditions	condition	NOUN
ejpam-3698	218	11	.	.	PUNCT
ejpam-3698	219	1	aip	aip	PROPN
ejpam-3698	219	2	conference	conference	NOUN
ejpam-3698	219	3	proceedings	proceeding	NOUN
ejpam-3698	219	4	,	,	PUNCT
ejpam-3698	219	5	1470(1):12–15	1470(1):12–15	NUM
ejpam-3698	219	6	,	,	PUNCT
ejpam-3698	219	7	2012	2012	NUM
ejpam-3698	219	8	.	.	PUNCT
ejpam-3698	220	1	[	[	X
ejpam-3698	220	2	6	6	NUM
ejpam-3698	220	3	]	]	PUNCT
ejpam-3698	220	4	a	a	DET
ejpam-3698	220	5	ashyralyev	ashyralyev	NOUN
ejpam-3698	220	6	and	and	CCONJ
ejpam-3698	220	7	y	y	PROPN
ejpam-3698	220	8	a	a	DET
ejpam-3698	220	9	sharifov	sharifov	NOUN
ejpam-3698	220	10	.	.	PUNCT
ejpam-3698	221	1	existence	existence	NOUN
ejpam-3698	221	2	and	and	CCONJ
ejpam-3698	221	3	uniqueness	uniqueness	NOUN
ejpam-3698	221	4	of	of	ADP
ejpam-3698	221	5	solutions	solution	NOUN
ejpam-3698	221	6	for	for	ADP
ejpam-3698	221	7	nonlinear	nonlinear	ADJ
ejpam-3698	221	8	impulsive	impulsive	ADJ
ejpam-3698	221	9	differential	differential	ADJ
ejpam-3698	221	10	equations	equation	NOUN
ejpam-3698	221	11	with	with	ADP
ejpam-3698	221	12	two	two	NUM
ejpam-3698	221	13	-	-	PUNCT
ejpam-3698	221	14	point	point	NOUN
ejpam-3698	221	15	and	and	CCONJ
ejpam-3698	221	16	integral	integral	ADJ
ejpam-3698	221	17	boundary	boundary	ADJ
ejpam-3698	221	18	conditions	condition	NOUN
ejpam-3698	221	19	.	.	PUNCT
ejpam-3698	222	1	advances	advance	NOUN
ejpam-3698	222	2	in	in	ADP
ejpam-3698	222	3	difference	difference	NOUN
ejpam-3698	222	4	equations	equation	NOUN
ejpam-3698	222	5	,	,	PUNCT
ejpam-3698	222	6	1470(1):8–11	1470(1):8–11	NOUN
ejpam-3698	222	7	,	,	PUNCT
ejpam-3698	222	8	2012	2012	NUM
ejpam-3698	222	9	.	.	PUNCT
ejpam-3698	223	1	[	[	X
ejpam-3698	223	2	7	7	X
ejpam-3698	223	3	]	]	PUNCT
ejpam-3698	223	4	a	a	DET
ejpam-3698	223	5	ashyralyev	ashyralyev	NOUN
ejpam-3698	223	6	and	and	CCONJ
ejpam-3698	223	7	y	y	PROPN
ejpam-3698	223	8	a	a	DET
ejpam-3698	223	9	sharifov	sharifov	NOUN
ejpam-3698	223	10	.	.	PUNCT
ejpam-3698	224	1	existence	existence	NOUN
ejpam-3698	224	2	and	and	CCONJ
ejpam-3698	224	3	uniqueness	uniqueness	NOUN
ejpam-3698	224	4	of	of	ADP
ejpam-3698	224	5	solutions	solution	NOUN
ejpam-3698	224	6	for	for	ADP
ejpam-3698	224	7	nonlinear	nonlinear	ADJ
ejpam-3698	224	8	impulsive	impulsive	ADJ
ejpam-3698	224	9	differential	differential	ADJ
ejpam-3698	224	10	equations	equation	NOUN
ejpam-3698	224	11	with	with	ADP
ejpam-3698	224	12	two	two	NUM
ejpam-3698	224	13	-	-	PUNCT
ejpam-3698	224	14	point	point	NOUN
ejpam-3698	224	15	and	and	CCONJ
ejpam-3698	224	16	integral	integral	ADJ
ejpam-3698	224	17	boundary	boundary	ADJ
ejpam-3698	224	18	conditions	condition	NOUN
ejpam-3698	224	19	.	.	PUNCT
ejpam-3698	225	1	advances	advance	NOUN
ejpam-3698	225	2	in	in	ADP
ejpam-3698	225	3	difference	difference	NOUN
ejpam-3698	225	4	equations	equation	NOUN
ejpam-3698	225	5	,	,	PUNCT
ejpam-3698	225	6	2013(173):1–11	2013(173):1–11	NUM
ejpam-3698	225	7	,	,	PUNCT
ejpam-3698	225	8	2013	2013	NUM
ejpam-3698	225	9	.	.	PUNCT
ejpam-3698	226	1	[	[	X
ejpam-3698	226	2	8	8	NUM
ejpam-3698	226	3	]	]	PUNCT
ejpam-3698	226	4	a	a	DET
ejpam-3698	226	5	ashyralyev	ashyralyev	NOUN
ejpam-3698	226	6	and	and	CCONJ
ejpam-3698	226	7	y	y	PROPN
ejpam-3698	226	8	a	a	DET
ejpam-3698	226	9	sharifov	sharifov	NOUN
ejpam-3698	226	10	.	.	PUNCT
ejpam-3698	227	1	optimal	optimal	ADJ
ejpam-3698	227	2	control	control	NOUN
ejpam-3698	227	3	problems	problem	NOUN
ejpam-3698	227	4	for	for	ADP
ejpam-3698	227	5	impulsive	impulsive	ADJ
ejpam-3698	227	6	systems	system	NOUN
ejpam-3698	227	7	with	with	ADP
ejpam-3698	227	8	integral	integral	ADJ
ejpam-3698	227	9	boundary	boundary	ADJ
ejpam-3698	227	10	conditions	condition	NOUN
ejpam-3698	227	11	.	.	PUNCT
ejpam-3698	228	1	electron	electron	PROPN
ejpam-3698	228	2	.	.	PUNCT
ejpam-3698	229	1	journal	journal	PROPN
ejpam-3698	229	2	differential	differential	PROPN
ejpam-3698	229	3	equations	equation	NOUN
ejpam-3698	229	4	,	,	PUNCT
ejpam-3698	229	5	2013(80):1	2013(80):1	NUM
ejpam-3698	229	6	–	–	PUNCT
ejpam-3698	229	7	11	11	NUM
ejpam-3698	229	8	,	,	PUNCT
ejpam-3698	229	9	2013	2013	NUM
ejpam-3698	229	10	.	.	PUNCT
ejpam-3698	230	1	[	[	X
ejpam-3698	230	2	9	9	NUM
ejpam-3698	230	3	]	]	SYM
ejpam-3698	230	4	j	j	PROPN
ejpam-3698	230	5	r	r	NOUN
ejpam-3698	230	6	cannon	cannon	NOUN
ejpam-3698	230	7	.	.	PUNCT
ejpam-3698	231	1	one	one	NUM
ejpam-3698	231	2	-	-	PUNCT
ejpam-3698	231	3	dimensional	dimensional	ADJ
ejpam-3698	231	4	heat	heat	NOUN
ejpam-3698	231	5	equation	equation	NOUN
ejpam-3698	231	6	.	.	PUNCT
ejpam-3698	232	1	encyclopedia	encyclopedia	NOUN
ejpam-3698	232	2	of	of	ADP
ejpam-3698	232	3	mathematics	mathematic	NOUN
ejpam-3698	232	4	and	and	CCONJ
ejpam-3698	232	5	its	its	PRON
ejpam-3698	232	6	applications	application	NOUN
ejpam-3698	232	7	,	,	PUNCT
ejpam-3698	232	8	addison	addison	PROPN
ejpam-3698	232	9	-	-	PUNCT
ejpam-3698	232	10	wesley	wesley	PROPN
ejpam-3698	232	11	publishing	publishing	PROPN
ejpam-3698	232	12	company	company	NOUN
ejpam-3698	232	13	,	,	PUNCT
ejpam-3698	232	14	advanced	advanced	ADJ
ejpam-3698	232	15	book	book	NOUN
ejpam-3698	232	16	program	program	NOUN
ejpam-3698	232	17	,	,	PUNCT
ejpam-3698	232	18	reading	reading	NOUN
ejpam-3698	232	19	,	,	PUNCT
ejpam-3698	232	20	ma	ma	PROPN
ejpam-3698	232	21	,	,	PUNCT
ejpam-3698	232	22	,	,	PUNCT
ejpam-3698	232	23	23	23	NUM
ejpam-3698	232	24	,	,	PUNCT
ejpam-3698	232	25	1984	1984	NUM
ejpam-3698	232	26	.	.	PUNCT
ejpam-3698	233	1	[	[	X
ejpam-3698	233	2	10	10	NUM
ejpam-3698	233	3	]	]	X
ejpam-3698	233	4	j	j	PROPN
ejpam-3698	233	5	r	r	NOUN
ejpam-3698	233	6	cannon	cannon	NOUN
ejpam-3698	233	7	,	,	PUNCT
ejpam-3698	233	8	s	s	VERB
ejpam-3698	233	9	p	p	X
ejpam-3698	233	10	esteva	esteva	PROPN
ejpam-3698	233	11	,	,	PUNCT
ejpam-3698	233	12	and	and	CCONJ
ejpam-3698	233	13	j	j	PROPN
ejpam-3698	233	14	vhoek	vhoek	NOUN
ejpam-3698	233	15	.	.	PUNCT
ejpam-3698	234	1	galerkin	galerkin	ADJ
ejpam-3698	234	2	procedure	procedure	NOUN
ejpam-3698	234	3	for	for	ADP
ejpam-3698	234	4	the	the	DET
ejpam-3698	234	5	diffusionequation	diffusionequation	NOUN
ejpam-3698	234	6	subject	subject	NOUN
ejpam-3698	234	7	to	to	ADP
ejpam-3698	234	8	the	the	DET
ejpam-3698	234	9	specification	specification	NOUN
ejpam-3698	234	10	of	of	ADP
ejpam-3698	234	11	mass	mass	PROPN
ejpam-3698	234	12	.	.	PUNCT
ejpam-3698	235	1	siam	siam	PROPN
ejpam-3698	235	2	j.	j.	PROPN
ejpam-3698	235	3	numer	numer	PROPN
ejpam-3698	235	4	.	.	PUNCT
ejpam-3698	236	1	anal	anal	PROPN
ejpam-3698	236	2	.	.	PROPN
ejpam-3698	236	3	,	,	PUNCT
ejpam-3698	236	4	24(3):499–515	24(3):499–515	PROPN
ejpam-3698	236	5	,	,	PUNCT
ejpam-3698	236	6	1987	1987	NUM
ejpam-3698	236	7	.	.	PUNCT
ejpam-3698	237	1	[	[	X
ejpam-3698	237	2	11	11	NUM
ejpam-3698	237	3	]	]	SYM
ejpam-3698	237	4	j	j	PROPN
ejpam-3698	237	5	r	r	NOUN
ejpam-3698	237	6	graef	graef	NOUN
ejpam-3698	237	7	and	and	CCONJ
ejpam-3698	237	8	d	d	PROPN
ejpam-3698	237	9	l	l	PROPN
ejpam-3698	237	10	kong	kong	PROPN
ejpam-3698	237	11	.	.	PUNCT
ejpam-3698	238	1	solutions	solution	NOUN
ejpam-3698	238	2	of	of	ADP
ejpam-3698	238	3	second	second	ADJ
ejpam-3698	238	4	order	order	NOUN
ejpam-3698	238	5	multi	multi	ADJ
ejpam-3698	238	6	-	-	ADJ
ejpam-3698	238	7	point	point	ADJ
ejpam-3698	238	8	boundary	boundary	ADJ
ejpam-3698	238	9	value	value	NOUN
ejpam-3698	238	10	problems	problem	NOUN
ejpam-3698	238	11	.	.	PUNCT
ejpam-3698	239	1	math	math	NOUN
ejpam-3698	239	2	.	.	PUNCT
ejpam-3698	240	1	proc	proc	PROPN
ejpam-3698	240	2	.	.	PUNCT
ejpam-3698	241	1	camb	camb	PROPN
ejpam-3698	241	2	.	.	PUNCT
ejpam-3698	242	1	phil	phil	PROPN
ejpam-3698	242	2	.	.	PUNCT
ejpam-3698	243	1	soc	soc	PROPN
ejpam-3698	243	2	.	.	PUNCT
ejpam-3698	243	3	,	,	PUNCT
ejpam-3698	243	4	145(2):489–510	145(2):489–510	NUM
ejpam-3698	243	5	,	,	PUNCT
ejpam-3698	243	6	2008	2008	NUM
ejpam-3698	243	7	.	.	PUNCT
ejpam-3698	244	1	[	[	X
ejpam-3698	244	2	12	12	NUM
ejpam-3698	244	3	]	]	SYM
ejpam-3698	244	4	v	v	ADP
ejpam-3698	244	5	a	a	DET
ejpam-3698	244	6	ilin	ilin	NOUN
ejpam-3698	244	7	and	and	CCONJ
ejpam-3698	244	8	e	e	NOUN
ejpam-3698	244	9	i	i	PRON
ejpam-3698	244	10	moiseev	moiseev	VERB
ejpam-3698	244	11	.	.	PUNCT
ejpam-3698	245	1	nonlocal	nonlocal	ADJ
ejpam-3698	245	2	boundary	boundary	ADJ
ejpam-3698	245	3	value	value	NOUN
ejpam-3698	245	4	problem	problem	NOUN
ejpam-3698	245	5	of	of	ADP
ejpam-3698	245	6	the	the	DET
ejpam-3698	245	7	second	second	ADJ
ejpam-3698	245	8	kind	kind	NOUN
ejpam-3698	245	9	for	for	ADP
ejpam-3698	245	10	a	a	DET
ejpam-3698	245	11	sturm	sturm	NOUN
ejpam-3698	245	12	-	-	PUNCT
ejpam-3698	245	13	liouville	liouville	NOUN
ejpam-3698	245	14	operator	operator	NOUN
ejpam-3698	245	15	.	.	PUNCT
ejpam-3698	246	1	differential	differential	ADJ
ejpam-3698	246	2	equations	equation	NOUN
ejpam-3698	246	3	,	,	PUNCT
ejpam-3698	246	4	23(8):979–987	23(8):979–987	NUM
ejpam-3698	246	5	,	,	PUNCT
ejpam-3698	246	6	1987	1987	NUM
ejpam-3698	246	7	.	.	PUNCT
ejpam-3698	247	1	references	reference	NOUN
ejpam-3698	247	2	425	425	NUM
ejpam-3698	247	3	[	[	X
ejpam-3698	247	4	13	13	NUM
ejpam-3698	247	5	]	]	X
ejpam-3698	247	6	h	h	NOUN
ejpam-3698	247	7	li	li	PROPN
ejpam-3698	247	8	and	and	CCONJ
ejpam-3698	247	9	j	j	PROPN
ejpam-3698	247	10	zhang	zhang	PROPN
ejpam-3698	247	11	.	.	PUNCT
ejpam-3698	248	1	existence	existence	NOUN
ejpam-3698	248	2	of	of	ADP
ejpam-3698	248	3	nontrivial	nontrivial	ADJ
ejpam-3698	248	4	solutions	solution	NOUN
ejpam-3698	248	5	for	for	ADP
ejpam-3698	248	6	some	some	DET
ejpam-3698	248	7	second	second	ADJ
ejpam-3698	248	8	-	-	PUNCT
ejpam-3698	248	9	order	order	NOUN
ejpam-3698	248	10	multipoint	multipoint	NOUN
ejpam-3698	248	11	boundary	boundary	ADJ
ejpam-3698	248	12	value	value	NOUN
ejpam-3698	248	13	problems	problem	NOUN
ejpam-3698	248	14	.	.	PUNCT
ejpam-3698	249	1	journal	journal	NOUN
ejpam-3698	249	2	of	of	ADP
ejpam-3698	249	3	function	function	NOUN
ejpam-3698	249	4	spaces	space	NOUN
ejpam-3698	249	5	,	,	PUNCT
ejpam-3698	249	6	article	article	NOUN
ejpam-3698	249	7	i	i	PROPN
ejpam-3698	249	8	d	d	PROPN
ejpam-3698	249	9	6486135	6486135	NUM
ejpam-3698	249	10	,	,	PUNCT
ejpam-3698	249	11	24(3):8	24(3):8	NUM
ejpam-3698	249	12	,	,	PUNCT
ejpam-3698	249	13	2018	2018	NUM
ejpam-3698	249	14	.	.	PUNCT
ejpam-3698	250	1	[	[	X
ejpam-3698	250	2	14	14	NUM
ejpam-3698	250	3	]	]	X
ejpam-3698	250	4	m	m	VERB
ejpam-3698	250	5	j	j	NOUN
ejpam-3698	250	6	mardanov	mardanov	NOUN
ejpam-3698	250	7	and	and	CCONJ
ejpam-3698	250	8	y	y	PROPN
ejpam-3698	250	9	a	a	DET
ejpam-3698	250	10	sharifov	sharifov	NOUN
ejpam-3698	250	11	.	.	PUNCT
ejpam-3698	251	1	existence	existence	NOUN
ejpam-3698	251	2	results	result	VERB
ejpam-3698	251	3	for	for	ADP
ejpam-3698	251	4	first	first	ADJ
ejpam-3698	251	5	order	order	NOUN
ejpam-3698	251	6	nonlinear	nonlinear	ADJ
ejpam-3698	251	7	impulsive	impulsive	ADJ
ejpam-3698	251	8	differential	differential	ADJ
ejpam-3698	251	9	equations	equation	NOUN
ejpam-3698	251	10	with	with	ADP
ejpam-3698	251	11	nonlocal	nonlocal	ADJ
ejpam-3698	251	12	boundary	boundary	ADJ
ejpam-3698	251	13	conditions	condition	NOUN
ejpam-3698	251	14	.	.	PUNCT
ejpam-3698	252	1	aip	aip	PROPN
ejpam-3698	252	2	conference	conference	NOUN
ejpam-3698	252	3	proceedings	proceeding	NOUN
ejpam-3698	252	4	,	,	PUNCT
ejpam-3698	252	5	1676(1):020015	1676(1):020015	PROPN
ejpam-3698	252	6	,	,	PUNCT
ejpam-3698	252	7	2015	2015	NUM
ejpam-3698	252	8	.	.	PUNCT
ejpam-3698	253	1	[	[	X
ejpam-3698	253	2	15	15	NUM
ejpam-3698	253	3	]	]	X
ejpam-3698	253	4	m	m	PROPN
ejpam-3698	253	5	j	j	PROPN
ejpam-3698	253	6	mardanov	mardanov	PROPN
ejpam-3698	253	7	,	,	PUNCT
ejpam-3698	253	8	y	y	PROPN
ejpam-3698	253	9	a	a	DET
ejpam-3698	253	10	sharifov	sharifov	NOUN
ejpam-3698	253	11	,	,	PUNCT
ejpam-3698	253	12	and	and	CCONJ
ejpam-3698	253	13	k	k	PROPN
ejpam-3698	253	14	e	e	PROPN
ejpam-3698	253	15	ismayilova	ismayilova	PROPN
ejpam-3698	253	16	.	.	PUNCT
ejpam-3698	254	1	existence	existence	NOUN
ejpam-3698	254	2	and	and	CCONJ
ejpam-3698	254	3	uniqueness	uniqueness	NOUN
ejpam-3698	254	4	of	of	ADP
ejpam-3698	254	5	solutions	solution	NOUN
ejpam-3698	254	6	for	for	ADP
ejpam-3698	254	7	nonlinear	nonlinear	ADJ
ejpam-3698	254	8	impulsive	impulsive	ADJ
ejpam-3698	254	9	differential	differential	ADJ
ejpam-3698	254	10	equations	equation	NOUN
ejpam-3698	254	11	with	with	ADP
ejpam-3698	254	12	three	three	NUM
ejpam-3698	254	13	-	-	PUNCT
ejpam-3698	254	14	point	point	NOUN
ejpam-3698	254	15	boundary	boundary	ADJ
ejpam-3698	254	16	conditions	condition	NOUN
ejpam-3698	254	17	.	.	PUNCT
ejpam-3698	255	1	e	e	X
ejpam-3698	255	2	-	-	NOUN
ejpam-3698	255	3	journal	journal	NOUN
ejpam-3698	255	4	of	of	ADP
ejpam-3698	255	5	analysis	analysis	NOUN
ejpam-3698	255	6	and	and	CCONJ
ejpam-3698	255	7	applied	apply	VERB
ejpam-3698	255	8	mathematics	mathematic	NOUN
ejpam-3698	255	9	,	,	PUNCT
ejpam-3698	255	10	2018(1):21–36	2018(1):21–36	NUM
ejpam-3698	255	11	,	,	PUNCT
ejpam-3698	255	12	2018	2018	NUM
ejpam-3698	255	13	.	.	PUNCT
ejpam-3698	256	1	[	[	X
ejpam-3698	256	2	16	16	NUM
ejpam-3698	256	3	]	]	X
ejpam-3698	256	4	m	m	VERB
ejpam-3698	256	5	j	j	PROPN
ejpam-3698	256	6	mardanov	mardanov	PROPN
ejpam-3698	256	7	,	,	PUNCT
ejpam-3698	256	8	y	y	PROPN
ejpam-3698	256	9	a	a	DET
ejpam-3698	256	10	sharifov	sharifov	NOUN
ejpam-3698	256	11	,	,	PUNCT
ejpam-3698	256	12	and	and	CCONJ
ejpam-3698	256	13	k	k	PROPN
ejpam-3698	256	14	e	e	PROPN
ejpam-3698	256	15	ismayilova	ismayilova	PROPN
ejpam-3698	256	16	.	.	PUNCT
ejpam-3698	257	1	existence	existence	NOUN
ejpam-3698	257	2	and	and	CCONJ
ejpam-3698	257	3	uniqueness	uniqueness	NOUN
ejpam-3698	257	4	of	of	ADP
ejpam-3698	257	5	solutions	solution	NOUN
ejpam-3698	257	6	for	for	ADP
ejpam-3698	257	7	the	the	DET
ejpam-3698	257	8	first	first	ADJ
ejpam-3698	257	9	-	-	PUNCT
ejpam-3698	257	10	order	order	NOUN
ejpam-3698	257	11	non	non	ADJ
ejpam-3698	257	12	-	-	ADJ
ejpam-3698	257	13	linear	linear	ADJ
ejpam-3698	257	14	differential	differential	ADJ
ejpam-3698	257	15	equations	equation	NOUN
ejpam-3698	257	16	with	with	ADP
ejpam-3698	257	17	three	three	NUM
ejpam-3698	257	18	-	-	PUNCT
ejpam-3698	257	19	point	point	NOUN
ejpam-3698	257	20	boundary	boundary	ADJ
ejpam-3698	257	21	conditions	condition	NOUN
ejpam-3698	257	22	.	.	PUNCT
ejpam-3698	258	1	filomat	filomat	NOUN
ejpam-3698	258	2	,	,	PUNCT
ejpam-3698	258	3	33(5):1387–1395	33(5):1387–1395	PROPN
ejpam-3698	258	4	,	,	PUNCT
ejpam-3698	258	5	2019	2019	NUM
ejpam-3698	258	6	.	.	PUNCT
ejpam-3698	259	1	[	[	X
ejpam-3698	259	2	17	17	NUM
ejpam-3698	259	3	]	]	X
ejpam-3698	259	4	m	m	PROPN
ejpam-3698	259	5	j	j	PROPN
ejpam-3698	259	6	mardanov	mardanov	PROPN
ejpam-3698	259	7	,	,	PUNCT
ejpam-3698	259	8	y	y	PROPN
ejpam-3698	259	9	a	a	DET
ejpam-3698	259	10	sharifov	sharifov	NOUN
ejpam-3698	259	11	,	,	PUNCT
ejpam-3698	259	12	k	k	PROPN
ejpam-3698	259	13	e	e	X
ejpam-3698	259	14	ismayilova	ismayilova	PROPN
ejpam-3698	259	15	,	,	PUNCT
ejpam-3698	259	16	and	and	CCONJ
ejpam-3698	259	17	s	s	VERB
ejpam-3698	259	18	a	a	DET
ejpam-3698	259	19	zamanova	zamanova	PROPN
ejpam-3698	259	20	.	.	PUNCT
ejpam-3698	260	1	existence	existence	NOUN
ejpam-3698	260	2	and	and	CCONJ
ejpam-3698	260	3	uniqueness	uniqueness	NOUN
ejpam-3698	260	4	of	of	ADP
ejpam-3698	260	5	solutions	solution	NOUN
ejpam-3698	260	6	for	for	ADP
ejpam-3698	260	7	the	the	DET
ejpam-3698	260	8	system	system	NOUN
ejpam-3698	260	9	of	of	ADP
ejpam-3698	260	10	first	first	ADJ
ejpam-3698	260	11	-	-	PUNCT
ejpam-3698	260	12	order	order	NOUN
ejpam-3698	260	13	nonlinear	nonlinear	ADJ
ejpam-3698	260	14	differential	differential	ADJ
ejpam-3698	260	15	equations	equation	NOUN
ejpam-3698	260	16	with	with	ADP
ejpam-3698	260	17	three	three	NUM
ejpam-3698	260	18	-	-	PUNCT
ejpam-3698	260	19	point	point	NOUN
ejpam-3698	260	20	and	and	CCONJ
ejpam-3698	260	21	integral	integral	ADJ
ejpam-3698	260	22	boundary	boundary	ADJ
ejpam-3698	260	23	conditions	condition	NOUN
ejpam-3698	260	24	.	.	PUNCT
ejpam-3698	261	1	european	european	ADJ
ejpam-3698	261	2	journal	journal	PROPN
ejpam-3698	261	3	of	of	ADP
ejpam-3698	261	4	pure	pure	ADJ
ejpam-3698	261	5	and	and	CCONJ
ejpam-3698	261	6	applied	applied	ADJ
ejpam-3698	261	7	mathematics	mathematic	NOUN
ejpam-3698	261	8	,	,	PUNCT
ejpam-3698	261	9	12(3):756–770	12(3):756–770	PROPN
ejpam-3698	261	10	,	,	PUNCT
ejpam-3698	261	11	2019	2019	NUM
ejpam-3698	261	12	.	.	PUNCT
ejpam-3698	262	1	[	[	X
ejpam-3698	262	2	18	18	NUM
ejpam-3698	262	3	]	]	X
ejpam-3698	262	4	m	m	PROPN
ejpam-3698	262	5	j	j	PROPN
ejpam-3698	262	6	mardanov	mardanov	PROPN
ejpam-3698	262	7	,	,	PUNCT
ejpam-3698	262	8	y	y	PROPN
ejpam-3698	262	9	a	a	DET
ejpam-3698	262	10	sharifov	sharifov	NOUN
ejpam-3698	262	11	,	,	PUNCT
ejpam-3698	262	12	and	and	CCONJ
ejpam-3698	262	13	h	h	NOUN
ejpam-3698	262	14	h	h	PROPN
ejpam-3698	262	15	molaei	molaei	NOUN
ejpam-3698	262	16	.	.	PUNCT
ejpam-3698	263	1	existence	existence	NOUN
ejpam-3698	263	2	and	and	CCONJ
ejpam-3698	263	3	uniqueness	uniqueness	NOUN
ejpam-3698	263	4	of	of	ADP
ejpam-3698	263	5	solutions	solution	NOUN
ejpam-3698	263	6	for	for	ADP
ejpam-3698	263	7	first	first	ADJ
ejpam-3698	263	8	-	-	PUNCT
ejpam-3698	263	9	order	order	NOUN
ejpam-3698	263	10	nonlinear	nonlinear	ADJ
ejpam-3698	263	11	differential	differential	ADJ
ejpam-3698	263	12	equations	equation	NOUN
ejpam-3698	263	13	with	with	ADP
ejpam-3698	263	14	two	two	NUM
ejpam-3698	263	15	-	-	PUNCT
ejpam-3698	263	16	point	point	NOUN
ejpam-3698	263	17	and	and	CCONJ
ejpam-3698	263	18	integral	integral	ADJ
ejpam-3698	263	19	boundary	boundary	ADJ
ejpam-3698	263	20	conditions	condition	NOUN
ejpam-3698	263	21	.	.	PUNCT
ejpam-3698	264	1	electronic	electronic	ADJ
ejpam-3698	264	2	journal	journal	NOUN
ejpam-3698	264	3	of	of	ADP
ejpam-3698	264	4	differential	differential	ADJ
ejpam-3698	264	5	equations	equation	NOUN
ejpam-3698	264	6	,	,	PUNCT
ejpam-3698	264	7	2014(259):1–8	2014(259):1–8	NUM
ejpam-3698	264	8	,	,	PUNCT
ejpam-3698	264	9	2014	2014	NUM
ejpam-3698	264	10	.	.	PUNCT
ejpam-3698	265	1	[	[	X
ejpam-3698	265	2	19	19	NUM
ejpam-3698	265	3	]	]	X
ejpam-3698	265	4	m	m	PROPN
ejpam-3698	265	5	j	j	PROPN
ejpam-3698	265	6	mardanov	mardanov	PROPN
ejpam-3698	265	7	,	,	PUNCT
ejpam-3698	265	8	y	y	PROPN
ejpam-3698	265	9	a	a	DET
ejpam-3698	265	10	sharifov	sharifov	NOUN
ejpam-3698	265	11	,	,	PUNCT
ejpam-3698	265	12	r	r	NOUN
ejpam-3698	265	13	a	a	DET
ejpam-3698	265	14	sardarova	sardarova	NOUN
ejpam-3698	265	15	,	,	PUNCT
ejpam-3698	265	16	and	and	CCONJ
ejpam-3698	265	17	h	h	PROPN
ejpam-3698	265	18	n	n	PRON
ejpam-3698	265	19	aliyev	aliyev	NOUN
ejpam-3698	265	20	.	.	PUNCT
ejpam-3698	266	1	existence	existence	NOUN
ejpam-3698	266	2	and	and	CCONJ
ejpam-3698	266	3	uniqueness	uniqueness	NOUN
ejpam-3698	266	4	of	of	ADP
ejpam-3698	266	5	solutions	solution	NOUN
ejpam-3698	266	6	for	for	ADP
ejpam-3698	266	7	nonlinear	nonlinear	ADJ
ejpam-3698	266	8	impulsive	impulsive	ADJ
ejpam-3698	266	9	differential	differential	ADJ
ejpam-3698	266	10	equations	equation	NOUN
ejpam-3698	266	11	with	with	ADP
ejpam-3698	266	12	three	three	NUM
ejpam-3698	266	13	-	-	PUNCT
ejpam-3698	266	14	point	point	NOUN
ejpam-3698	266	15	and	and	CCONJ
ejpam-3698	266	16	integral	integral	ADJ
ejpam-3698	266	17	boundary	boundary	ADJ
ejpam-3698	266	18	conditions	condition	NOUN
ejpam-3698	266	19	.	.	PUNCT
ejpam-3698	267	1	azerbaijan	azerbaijan	PROPN
ejpam-3698	267	2	journal	journal	PROPN
ejpam-3698	267	3	of	of	ADP
ejpam-3698	267	4	mathematics	mathematics	PROPN
ejpam-3698	267	5	,	,	PUNCT
ejpam-3698	267	6	10(1):110–126	10(1):110–126	PROPN
ejpam-3698	267	7	,	,	PUNCT
ejpam-3698	267	8	2020	2020	NUM
ejpam-3698	267	9	.	.	PUNCT
ejpam-3698	268	1	[	[	X
ejpam-3698	268	2	20	20	NUM
ejpam-3698	268	3	]	]	X
ejpam-3698	268	4	m	m	PROPN
ejpam-3698	268	5	j	j	PROPN
ejpam-3698	268	6	mardanov	mardanov	PROPN
ejpam-3698	268	7	,	,	PUNCT
ejpam-3698	268	8	y	y	PROPN
ejpam-3698	268	9	a	a	DET
ejpam-3698	268	10	sharifov	sharifov	NOUN
ejpam-3698	268	11	,	,	PUNCT
ejpam-3698	268	12	and	and	CCONJ
ejpam-3698	268	13	f	f	PROPN
ejpam-3698	268	14	m	m	NOUN
ejpam-3698	268	15	zeynalli	zeynalli	PROPN
ejpam-3698	268	16	.	.	PUNCT
ejpam-3698	269	1	existence	existence	NOUN
ejpam-3698	269	2	and	and	CCONJ
ejpam-3698	269	3	uniqueness	uniqueness	NOUN
ejpam-3698	269	4	of	of	ADP
ejpam-3698	269	5	the	the	DET
ejpam-3698	269	6	solutions	solution	NOUN
ejpam-3698	269	7	to	to	ADP
ejpam-3698	269	8	impulsive	impulsive	ADJ
ejpam-3698	269	9	nonlinear	nonlinear	ADJ
ejpam-3698	269	10	integro	integro	ADJ
ejpam-3698	269	11	-	-	PUNCT
ejpam-3698	269	12	differential	differential	NOUN
ejpam-3698	269	13	equations	equation	NOUN
ejpam-3698	269	14	with	with	ADP
ejpam-3698	269	15	nonlocal	nonlocal	ADJ
ejpam-3698	269	16	boundary	boundary	ADJ
ejpam-3698	269	17	conditions	condition	NOUN
ejpam-3698	269	18	.	.	PUNCT
ejpam-3698	270	1	proceedings	proceeding	NOUN
ejpam-3698	270	2	of	of	ADP
ejpam-3698	270	3	the	the	DET
ejpam-3698	270	4	institute	institute	NOUN
ejpam-3698	270	5	of	of	ADP
ejpam-3698	270	6	mathematics	mathematics	PROPN
ejpam-3698	270	7	and	and	CCONJ
ejpam-3698	270	8	mechanics	mechanic	NOUN
ejpam-3698	270	9	,	,	PUNCT
ejpam-3698	270	10	national	national	PROPN
ejpam-3698	270	11	academy	academy	PROPN
ejpam-3698	270	12	of	of	ADP
ejpam-3698	270	13	sciences	sciences	PROPN
ejpam-3698	270	14	of	of	ADP
ejpam-3698	270	15	azerbaijan	azerbaijan	PROPN
ejpam-3698	270	16	,	,	PUNCT
ejpam-3698	270	17	45(2):222–233	45(2):222–233	PROPN
ejpam-3698	270	18	,	,	PUNCT
ejpam-3698	270	19	2019	2019	NUM
ejpam-3698	270	20	.	.	PUNCT
ejpam-3698	271	1	[	[	X
ejpam-3698	271	2	21	21	NUM
ejpam-3698	271	3	]	]	X
ejpam-3698	271	4	m	m	PROPN
ejpam-3698	271	5	j	j	PROPN
ejpam-3698	271	6	mardanov	mardanov	PROPN
ejpam-3698	271	7	,	,	PUNCT
ejpam-3698	271	8	y	y	PROPN
ejpam-3698	271	9	a	a	DET
ejpam-3698	271	10	sharifov	sharifov	NOUN
ejpam-3698	271	11	,	,	PUNCT
ejpam-3698	271	12	and	and	CCONJ
ejpam-3698	271	13	f	f	PROPN
ejpam-3698	271	14	m	m	VERB
ejpam-3698	271	15	zeynally	zeynally	ADV
ejpam-3698	271	16	.	.	PUNCT
ejpam-3698	272	1	existence	existence	NOUN
ejpam-3698	272	2	and	and	CCONJ
ejpam-3698	272	3	uniqueness	uniqueness	NOUN
ejpam-3698	272	4	of	of	ADP
ejpam-3698	272	5	solutions	solution	NOUN
ejpam-3698	272	6	for	for	ADP
ejpam-3698	272	7	nonlinear	nonlinear	ADJ
ejpam-3698	272	8	impulsive	impulsive	ADJ
ejpam-3698	272	9	differential	differential	ADJ
ejpam-3698	272	10	equations	equation	NOUN
ejpam-3698	272	11	with	with	ADP
ejpam-3698	272	12	nonlocal	nonlocal	ADJ
ejpam-3698	272	13	boundary	boundary	ADJ
ejpam-3698	272	14	conditions	condition	NOUN
ejpam-3698	272	15	.	.	PUNCT
ejpam-3698	273	1	vestn	vestn	NOUN
ejpam-3698	273	2	.	.	PUNCT
ejpam-3698	274	1	tomsk	tomsk	PROPN
ejpam-3698	274	2	.	.	PUNCT
ejpam-3698	275	1	gos	gos	PROPN
ejpam-3698	275	2	.	.	PUNCT
ejpam-3698	276	1	univ	univ	PROPN
ejpam-3698	276	2	.	.	PUNCT
ejpam-3698	276	3	mat	mat	PROPN
ejpam-3698	276	4	.	.	PROPN
ejpam-3698	276	5	mekh	mekh	PROPN
ejpam-3698	276	6	.	.	PROPN
ejpam-3698	276	7	,	,	PUNCT
ejpam-3698	276	8	60:61–72	60:61–72	NUM
ejpam-3698	276	9	,	,	PUNCT
ejpam-3698	276	10	2019	2019	NUM
ejpam-3698	276	11	.	.	PUNCT
ejpam-3698	277	1	[	[	X
ejpam-3698	277	2	22	22	NUM
ejpam-3698	277	3	]	]	PUNCT
ejpam-3698	277	4	a	a	DET
ejpam-3698	277	5	l	l	NOUN
ejpam-3698	277	6	m	m	VERB
ejpam-3698	277	7	martinez	martinez	PROPN
ejpam-3698	277	8	,	,	PUNCT
ejpam-3698	277	9	e	e	PROPN
ejpam-3698	277	10	v	v	NUM
ejpam-3698	277	11	castelani	castelani	NOUN
ejpam-3698	277	12	,	,	PUNCT
ejpam-3698	277	13	and	and	CCONJ
ejpam-3698	277	14	r	r	NOUN
ejpam-3698	277	15	hoto	hoto	NOUN
ejpam-3698	277	16	.	.	PUNCT
ejpam-3698	278	1	solving	solve	VERB
ejpam-3698	278	2	a	a	DET
ejpam-3698	278	3	second	second	ADJ
ejpam-3698	278	4	order	order	NOUN
ejpam-3698	278	5	m	m	NOUN
ejpam-3698	278	6	-	-	PUNCT
ejpam-3698	278	7	point	point	NOUN
ejpam-3698	278	8	boundary	boundary	ADJ
ejpam-3698	278	9	value	value	NOUN
ejpam-3698	278	10	problem	problem	NOUN
ejpam-3698	278	11	.	.	PUNCT
ejpam-3698	279	1	nonlinear	nonlinear	ADJ
ejpam-3698	279	2	studies	study	NOUN
ejpam-3698	279	3	,	,	PUNCT
ejpam-3698	279	4	26(1):15–26	26(1):15–26	NUM
ejpam-3698	279	5	,	,	PUNCT
ejpam-3698	279	6	2019	2019	NUM
ejpam-3698	279	7	.	.	PUNCT
ejpam-3698	280	1	[	[	X
ejpam-3698	280	2	23	23	NUM
ejpam-3698	280	3	]	]	X
ejpam-3698	280	4	k	k	PROPN
ejpam-3698	280	5	n	n	NUM
ejpam-3698	280	6	murty	murty	NOUN
ejpam-3698	280	7	and	and	CCONJ
ejpam-3698	280	8	s	s	VERB
ejpam-3698	280	9	sivasundaram	sivasundaram	NOUN
ejpam-3698	280	10	.	.	PUNCT
ejpam-3698	281	1	existence	existence	NOUN
ejpam-3698	281	2	and	and	CCONJ
ejpam-3698	281	3	uniqueness	uniqueness	NOUN
ejpam-3698	281	4	of	of	ADP
ejpam-3698	281	5	solution	solution	NOUN
ejpam-3698	281	6	to	to	ADP
ejpam-3698	281	7	three	three	NUM
ejpam-3698	281	8	-	-	PUNCT
ejpam-3698	281	9	point	point	NOUN
ejpam-3698	281	10	boundary	boundary	ADJ
ejpam-3698	281	11	value	value	NOUN
ejpam-3698	281	12	problems	problem	NOUN
ejpam-3698	281	13	associated	associate	VERB
ejpam-3698	281	14	withnonlinear	withnonlinear	NOUN
ejpam-3698	281	15	first	first	ADJ
ejpam-3698	281	16	order	order	NOUN
ejpam-3698	281	17	systems	system	NOUN
ejpam-3698	281	18	of	of	ADP
ejpam-3698	281	19	differential	differential	ADJ
ejpam-3698	281	20	equations	equation	NOUN
ejpam-3698	281	21	.	.	PUNCT
ejpam-3698	282	1	j.	j.	PROPN
ejpam-3698	282	2	math	math	PROPN
ejpam-3698	282	3	.	.	PUNCT
ejpam-3698	283	1	anal	anal	PROPN
ejpam-3698	283	2	.	.	PUNCT
ejpam-3698	284	1	appl	appl	PROPN
ejpam-3698	284	2	,	,	PUNCT
ejpam-3698	284	3	173(1):158–164	173(1):158–164	NUM
ejpam-3698	284	4	,	,	PUNCT
ejpam-3698	284	5	1993	1993	NUM
ejpam-3698	284	6	.	.	PUNCT
ejpam-3698	285	1	references	reference	NOUN
ejpam-3698	285	2	426	426	NUM
ejpam-3698	286	1	[	[	X
ejpam-3698	286	2	24	24	NUM
ejpam-3698	286	3	]	]	X
ejpam-3698	286	4	j	j	PROPN
ejpam-3698	286	5	j	j	PROPN
ejpam-3698	286	6	nieto	nieto	PROPN
ejpam-3698	286	7	and	and	CCONJ
ejpam-3698	286	8	r	r	VERB
ejpam-3698	286	9	rodrguez	rodrguez	NOUN
ejpam-3698	286	10	-	-	NOUN
ejpam-3698	286	11	lpez	lpez	NOUN
ejpam-3698	286	12	.	.	PUNCT
ejpam-3698	287	1	greens	green	NOUN
ejpam-3698	287	2	function	function	VERB
ejpam-3698	287	3	for	for	ADP
ejpam-3698	287	4	first	first	ADJ
ejpam-3698	287	5	-	-	PUNCT
ejpam-3698	287	6	order	order	NOUN
ejpam-3698	287	7	multipoint	multipoint	NOUN
ejpam-3698	287	8	boundary	boundary	ADJ
ejpam-3698	287	9	value	value	NOUN
ejpam-3698	287	10	problems	problem	NOUN
ejpam-3698	287	11	and	and	CCONJ
ejpam-3698	287	12	applications	application	NOUN
ejpam-3698	287	13	to	to	ADP
ejpam-3698	287	14	the	the	DET
ejpam-3698	287	15	existence	existence	NOUN
ejpam-3698	287	16	of	of	ADP
ejpam-3698	287	17	solutions	solution	NOUN
ejpam-3698	287	18	with	with	ADP
ejpam-3698	287	19	constant	constant	ADJ
ejpam-3698	287	20	sign	sign	NOUN
ejpam-3698	287	21	.	.	PUNCT
ejpam-3698	288	1	j.	j.	PROPN
ejpam-3698	288	2	math.anal	math.anal	PROPN
ejpam-3698	288	3	.	.	PROPN
ejpam-3698	288	4	appl	appl	PROPN
ejpam-3698	288	5	.	.	PROPN
ejpam-3698	288	6	,	,	PUNCT
ejpam-3698	288	7	388:952–963	388:952–963	NUM
ejpam-3698	288	8	,	,	PUNCT
ejpam-3698	288	9	2012	2012	NUM
ejpam-3698	288	10	.	.	PUNCT
ejpam-3698	289	1	[	[	X
ejpam-3698	289	2	25	25	NUM
ejpam-3698	289	3	]	]	SYM
ejpam-3698	289	4	b	b	NOUN
ejpam-3698	289	5	przeradzki	przeradzki	NOUN
ejpam-3698	289	6	and	and	CCONJ
ejpam-3698	289	7	r	r	PROPN
ejpam-3698	289	8	stanczy	stanczy	NOUN
ejpam-3698	289	9	.	.	PUNCT
ejpam-3698	290	1	solvability	solvability	NOUN
ejpam-3698	290	2	of	of	ADP
ejpam-3698	290	3	a	a	DET
ejpam-3698	290	4	multi	multi	ADJ
ejpam-3698	290	5	-	-	ADJ
ejpam-3698	290	6	point	point	ADJ
ejpam-3698	290	7	boundary	boundary	ADJ
ejpam-3698	290	8	value	value	NOUN
ejpam-3698	290	9	problem	problem	NOUN
ejpam-3698	290	10	at	at	ADP
ejpam-3698	290	11	resonance	resonance	NOUN
ejpam-3698	290	12	.	.	PUNCT
ejpam-3698	291	1	journal	journal	PROPN
ejpam-3698	291	2	of	of	ADP
ejpam-3698	291	3	mathematical	mathematical	ADJ
ejpam-3698	291	4	analysis	analysis	NOUN
ejpam-3698	291	5	and	and	CCONJ
ejpam-3698	291	6	applications	application	NOUN
ejpam-3698	291	7	,	,	PUNCT
ejpam-3698	291	8	264:253–261	264:253–261	NUM
ejpam-3698	291	9	,	,	PUNCT
ejpam-3698	291	10	2001	2001	NUM
ejpam-3698	291	11	.	.	PUNCT
ejpam-3698	292	1	[	[	X
ejpam-3698	292	2	26	26	NUM
ejpam-3698	292	3	]	]	X
ejpam-3698	292	4	y	y	PROPN
ejpam-3698	292	5	a	a	DET
ejpam-3698	292	6	sharifov	sharifov	NOUN
ejpam-3698	292	7	.	.	PUNCT
ejpam-3698	292	8	optimality	optimality	NOUN
ejpam-3698	292	9	conditions	condition	NOUN
ejpam-3698	292	10	in	in	ADP
ejpam-3698	292	11	problems	problem	NOUN
ejpam-3698	292	12	of	of	ADP
ejpam-3698	292	13	control	control	NOUN
ejpam-3698	292	14	over	over	ADP
ejpam-3698	292	15	systems	system	NOUN
ejpam-3698	292	16	of	of	ADP
ejpam-3698	292	17	impulsive	impulsive	ADJ
ejpam-3698	292	18	differential	differential	ADJ
ejpam-3698	292	19	equations	equation	NOUN
ejpam-3698	292	20	with	with	ADP
ejpam-3698	292	21	nonlocal	nonlocal	ADJ
ejpam-3698	292	22	boundary	boundary	ADJ
ejpam-3698	292	23	conditions	condition	NOUN
ejpam-3698	292	24	.	.	PUNCT
ejpam-3698	293	1	ukrainian	ukrainian	ADJ
ejpam-3698	293	2	mathematical	mathematical	ADJ
ejpam-3698	293	3	journal	journal	NOUN
ejpam-3698	293	4	,	,	PUNCT
ejpam-3698	293	5	64:958–970	64:958–970	PROPN
ejpam-3698	293	6	,	,	PUNCT
ejpam-3698	293	7	2012	2012	NUM
ejpam-3698	293	8	.	.	PUNCT
ejpam-3698	294	1	[	[	X
ejpam-3698	294	2	27	27	NUM
ejpam-3698	294	3	]	]	X
ejpam-3698	294	4	y	y	PROPN
ejpam-3698	294	5	a	a	DET
ejpam-3698	294	6	sharifov	sharifov	NOUN
ejpam-3698	294	7	.	.	PUNCT
ejpam-3698	295	1	optimal	optimal	ADJ
ejpam-3698	295	2	control	control	NOUN
ejpam-3698	295	3	of	of	ADP
ejpam-3698	295	4	impulsive	impulsive	ADJ
ejpam-3698	295	5	systems	system	NOUN
ejpam-3698	295	6	with	with	ADP
ejpam-3698	295	7	nonlocal	nonlocal	ADJ
ejpam-3698	295	8	boundary	boundary	ADJ
ejpam-3698	295	9	conditions	condition	NOUN
ejpam-3698	295	10	.	.	PUNCT
ejpam-3698	296	1	russian	russian	ADJ
ejpam-3698	296	2	mathematics	mathematic	NOUN
ejpam-3698	296	3	,	,	PUNCT
ejpam-3698	296	4	57(2):65–72	57(2):65–72	NUM
ejpam-3698	296	5	,	,	PUNCT
ejpam-3698	296	6	2013	2013	NUM
ejpam-3698	296	7	.	.	PUNCT
ejpam-3698	297	1	[	[	X
ejpam-3698	297	2	28	28	NUM
ejpam-3698	297	3	]	]	X
ejpam-3698	297	4	y.a	y.a	PROPN
ejpam-3698	297	5	.	.	PROPN
ejpam-3698	297	6	sharifov	sharifov	PROPN
ejpam-3698	297	7	,	,	PUNCT
ejpam-3698	297	8	f.m	f.m	PROPN
ejpam-3698	297	9	.	.	PROPN
ejpam-3698	297	10	zeynally	zeynally	ADV
ejpam-3698	297	11	,	,	PUNCT
ejpam-3698	297	12	and	and	CCONJ
ejpam-3698	297	13	s.m	s.m	PROPN
ejpam-3698	297	14	.	.	PROPN
ejpam-3698	297	15	zeynally	zeynally	PROPN
ejpam-3698	297	16	.	.	PUNCT
ejpam-3698	298	1	existence	existence	NOUN
ejpam-3698	298	2	and	and	CCONJ
ejpam-3698	298	3	uniqueness	uniqueness	NOUN
ejpam-3698	298	4	of	of	ADP
ejpam-3698	298	5	solutions	solution	NOUN
ejpam-3698	298	6	for	for	ADP
ejpam-3698	298	7	nonlinear	nonlinear	ADJ
ejpam-3698	298	8	fractional	fractional	ADJ
ejpam-3698	298	9	differential	differential	ADJ
ejpam-3698	298	10	equations	equation	NOUN
ejpam-3698	298	11	with	with	ADP
ejpam-3698	298	12	two	two	NUM
ejpam-3698	298	13	-	-	PUNCT
ejpam-3698	298	14	point	point	NOUN
ejpam-3698	298	15	boundary	boundary	ADJ
ejpam-3698	298	16	conditions	condition	NOUN
ejpam-3698	298	17	.	.	PUNCT
ejpam-3698	299	1	advanced	advanced	ADJ
ejpam-3698	299	2	mathematical	mathematical	ADJ
ejpam-3698	299	3	models	model	NOUN
ejpam-3698	299	4	,	,	PUNCT
ejpam-3698	299	5	applications	application	NOUN
ejpam-3698	299	6	,	,	PUNCT
ejpam-3698	299	7	3(1):54–62	3(1):54–62	NUM
ejpam-3698	299	8	,	,	PUNCT
ejpam-3698	299	9	2018	2018	NUM
ejpam-3698	299	10	.	.	PUNCT
ejpam-3698	300	1	[	[	X
ejpam-3698	300	2	29	29	NUM
ejpam-3698	300	3	]	]	PUNCT
ejpam-3698	300	4	s.	s.	PROPN
ejpam-3698	300	5	timoshenko	timoshenko	PROPN
ejpam-3698	300	6	.	.	PUNCT
ejpam-3698	301	1	theory	theory	NOUN
ejpam-3698	301	2	of	of	ADP
ejpam-3698	301	3	elastic	elastic	ADJ
ejpam-3698	301	4	stability	stability	NOUN
ejpam-3698	301	5	.	.	PUNCT
ejpam-3698	302	1	mcgraw	mcgraw	PROPN
ejpam-3698	302	2	-	-	PUNCT
ejpam-3698	302	3	hill	hill	PROPN
ejpam-3698	302	4	,	,	PUNCT
ejpam-3698	302	5	new	new	ADJ
ejpam-3698	302	6	-	-	PUNCT
ejpam-3698	302	7	york	york	NOUN
ejpam-3698	302	8	,	,	PUNCT
ejpam-3698	302	9	1961	1961	NUM
ejpam-3698	302	10	.	.	PUNCT
ejpam-3698	303	1	[	[	X
ejpam-3698	303	2	30	30	NUM
ejpam-3698	303	3	]	]	X
ejpam-3698	303	4	m	m	VERB
ejpam-3698	303	5	urabe	urabe	NOUN
ejpam-3698	303	6	.	.	PUNCT
ejpam-3698	304	1	an	an	DET
ejpam-3698	304	2	existence	existence	NOUN
ejpam-3698	304	3	theorem	theorem	VERB
ejpam-3698	304	4	for	for	ADP
ejpam-3698	304	5	multi	multi	ADJ
ejpam-3698	304	6	-	-	ADJ
ejpam-3698	304	7	point	point	ADJ
ejpam-3698	304	8	boundary	boundary	ADJ
ejpam-3698	304	9	value	value	NOUN
ejpam-3698	304	10	problems	problem	NOUN
ejpam-3698	304	11	.	.	PUNCT
ejpam-3698	305	1	funkcialaj	funkcialaj	PROPN
ejpam-3698	305	2	ekvacioj	ekvacioj	PROPN
ejpam-3698	305	3	.	.	PUNCT
ejpam-3698	305	4	,	,	PUNCT
ejpam-3698	305	5	9:43–60	9:43–60	NOUN
ejpam-3698	305	6	,	,	PUNCT
ejpam-3698	305	7	1966	1966	NUM
ejpam-3698	305	8	.	.	PUNCT
ejpam-3698	306	1	[	[	X
ejpam-3698	306	2	31	31	NUM
ejpam-3698	306	3	]	]	X
ejpam-3698	306	4	y	y	PROPN
ejpam-3698	306	5	zhang	zhang	PROPN
ejpam-3698	306	6	and	and	CCONJ
ejpam-3698	306	7	f	f	PROPN
ejpam-3698	306	8	zhang	zhang	PROPN
ejpam-3698	306	9	.	.	PUNCT
ejpam-3698	306	10	multipoint	multipoint	PROPN
ejpam-3698	306	11	boundary	boundary	PROPN
ejpam-3698	306	12	value	value	NOUN
ejpam-3698	306	13	problem	problem	NOUN
ejpam-3698	306	14	of	of	ADP
ejpam-3698	306	15	first	first	ADJ
ejpam-3698	306	16	order	order	NOUN
ejpam-3698	306	17	impulsive	impulsive	ADJ
ejpam-3698	306	18	functional	functional	ADJ
ejpam-3698	306	19	differential	differential	ADJ
ejpam-3698	306	20	functional	functional	ADJ
ejpam-3698	306	21	differential	differential	NOUN
ejpam-3698	306	22	equation	equation	NOUN
ejpam-3698	306	23	.	.	PUNCT
ejpam-3698	307	1	journal	journal	PROPN
ejpam-3698	307	2	of	of	ADP
ejpam-3698	307	3	applied	apply	VERB
ejpam-3698	307	4	mathematics	mathematic	NOUN
ejpam-3698	307	5	and	and	CCONJ
ejpam-3698	307	6	computing	computing	NOUN
ejpam-3698	307	7	,	,	PUNCT
ejpam-3698	307	8	31:267–278	31:267–278	PROPN
ejpam-3698	307	9	,	,	PUNCT
ejpam-3698	307	10	2009	2009	NUM
ejpam-3698	307	11	.	.	PUNCT