id	sid	tid	token	lemma	pos
ijassa-878	1	1	adv	adv	PROPN
ijassa-878	1	2	syst	syst	PROPN
ijassa-878	1	3	sci	sci	PROPN
ijassa-878	1	4	appl	appl	PROPN
ijassa-878	1	5	2020	2020	NUM
ijassa-878	1	6	;	;	PUNCT
ijassa-878	1	7	02:56–70	02:56–70	PROPN
ijassa-878	1	8	published	publish	VERB
ijassa-878	1	9	online	online	ADV
ijassa-878	1	10	at	at	ADP
ijassa-878	1	11	https://ijassa.ipu.ru	https://ijassa.ipu.ru	ADV
ijassa-878	1	12	.	.	PUNCT
ijassa-878	2	1	numerical	numerical	ADJ
ijassa-878	2	2	methods	method	NOUN
ijassa-878	2	3	for	for	ADP
ijassa-878	2	4	constructing	construct	VERB
ijassa-878	2	5	solutions	solution	NOUN
ijassa-878	2	6	of	of	ADP
ijassa-878	2	7	functional	functional	ADJ
ijassa-878	2	8	differential	differential	ADJ
ijassa-878	2	9	equations	equation	NOUN
ijassa-878	2	10	of	of	ADP
ijassa-878	2	11	pointwise	pointwise	NOUN
ijassa-878	2	12	type	type	NOUN
ijassa-878	2	13	armen	arman	NOUN
ijassa-878	2	14	beklaryan1	beklaryan1	NOUN
ijassa-878	2	15	*	*	PUNCT
ijassa-878	2	16	1national	1national	NUM
ijassa-878	2	17	research	research	NOUN
ijassa-878	2	18	university	university	NOUN
ijassa-878	2	19	higher	high	ADJ
ijassa-878	2	20	school	school	NOUN
ijassa-878	2	21	of	of	ADP
ijassa-878	2	22	economics	economic	NOUN
ijassa-878	2	23	,	,	PUNCT
ijassa-878	2	24	moscow	moscow	PROPN
ijassa-878	2	25	,	,	PUNCT
ijassa-878	2	26	russia	russia	PROPN
ijassa-878	2	27	abstract	abstract	NOUN
ijassa-878	2	28	:	:	PUNCT
ijassa-878	2	29	the	the	DET
ijassa-878	2	30	article	article	NOUN
ijassa-878	2	31	discusses	discuss	VERB
ijassa-878	2	32	construction	construction	NOUN
ijassa-878	2	33	of	of	ADP
ijassa-878	2	34	traveling	travel	VERB
ijassa-878	2	35	wave	wave	NOUN
ijassa-878	2	36	type	type	NOUN
ijassa-878	2	37	solutions	solution	NOUN
ijassa-878	2	38	for	for	ADP
ijassa-878	2	39	the	the	DET
ijassa-878	2	40	frenkelkontorova	frenkelkontorova	VERB
ijassa-878	2	41	model	model	NOUN
ijassa-878	2	42	on	on	ADP
ijassa-878	2	43	the	the	DET
ijassa-878	2	44	propagation	propagation	NOUN
ijassa-878	2	45	of	of	ADP
ijassa-878	2	46	longitudinal	longitudinal	ADJ
ijassa-878	2	47	waves	wave	NOUN
ijassa-878	2	48	.	.	PUNCT
ijassa-878	3	1	for	for	ADP
ijassa-878	3	2	the	the	DET
ijassa-878	3	3	first	first	ADJ
ijassa-878	3	4	time	time	NOUN
ijassa-878	3	5	,	,	PUNCT
ijassa-878	3	6	based	base	VERB
ijassa-878	3	7	on	on	ADP
ijassa-878	3	8	the	the	DET
ijassa-878	3	9	existence	existence	NOUN
ijassa-878	3	10	and	and	CCONJ
ijassa-878	3	11	uniqueness	uniqueness	NOUN
ijassa-878	3	12	theorem	theorem	NOUN
ijassa-878	3	13	of	of	ADP
ijassa-878	3	14	traveling	travel	VERB
ijassa-878	3	15	wave	wave	NOUN
ijassa-878	3	16	type	type	NOUN
ijassa-878	3	17	solutions	solution	NOUN
ijassa-878	3	18	,	,	PUNCT
ijassa-878	3	19	as	as	ADV
ijassa-878	3	20	well	well	ADV
ijassa-878	3	21	as	as	ADP
ijassa-878	3	22	the	the	DET
ijassa-878	3	23	approximation	approximation	NOUN
ijassa-878	3	24	theorem	theorem	VERB
ijassa-878	3	25	,	,	PUNCT
ijassa-878	3	26	a	a	DET
ijassa-878	3	27	complete	complete	ADJ
ijassa-878	3	28	family	family	NOUN
ijassa-878	3	29	of	of	ADP
ijassa-878	3	30	traveling	travel	VERB
ijassa-878	3	31	wave	wave	NOUN
ijassa-878	3	32	type	type	NOUN
ijassa-878	3	33	solutions	solution	NOUN
ijassa-878	3	34	is	be	AUX
ijassa-878	3	35	constructed	construct	VERB
ijassa-878	3	36	in	in	ADP
ijassa-878	3	37	the	the	DET
ijassa-878	3	38	form	form	NOUN
ijassa-878	3	39	of	of	ADP
ijassa-878	3	40	subfamilies	subfamily	NOUN
ijassa-878	3	41	of	of	ADP
ijassa-878	3	42	bounded	bounded	ADJ
ijassa-878	3	43	solutions	solution	NOUN
ijassa-878	3	44	(	(	PUNCT
ijassa-878	3	45	horizontals	horizontal	NOUN
ijassa-878	3	46	)	)	PUNCT
ijassa-878	3	47	and	and	CCONJ
ijassa-878	3	48	unbounded	unbounded	ADJ
ijassa-878	3	49	solutions	solution	NOUN
ijassa-878	3	50	(	(	PUNCT
ijassa-878	3	51	verticals	vertical	NOUN
ijassa-878	3	52	)	)	PUNCT
ijassa-878	3	53	.	.	PUNCT
ijassa-878	4	1	keywords	keyword	NOUN
ijassa-878	4	2	:	:	PUNCT
ijassa-878	4	3	traveling	travel	VERB
ijassa-878	4	4	waves	wave	NOUN
ijassa-878	4	5	,	,	PUNCT
ijassa-878	4	6	functional	functional	ADJ
ijassa-878	4	7	differential	differential	NOUN
ijassa-878	4	8	equations	equation	NOUN
ijassa-878	4	9	,	,	PUNCT
ijassa-878	4	10	equations	equation	NOUN
ijassa-878	4	11	of	of	ADP
ijassa-878	4	12	mathematical	mathematical	ADJ
ijassa-878	4	13	physics	physics	NOUN
ijassa-878	4	14	,	,	PUNCT
ijassa-878	4	15	splines	spline	NOUN
ijassa-878	4	16	,	,	PUNCT
ijassa-878	4	17	forward	forward	ADJ
ijassa-878	4	18	-	-	PUNCT
ijassa-878	4	19	backward	backward	ADJ
ijassa-878	4	20	differential	differential	ADJ
ijassa-878	4	21	equation	equation	NOUN
ijassa-878	4	22	1	1	NUM
ijassa-878	4	23	.	.	PUNCT
ijassa-878	4	24	introduction	introduction	NOUN
ijassa-878	4	25	the	the	DET
ijassa-878	4	26	theory	theory	NOUN
ijassa-878	4	27	of	of	ADP
ijassa-878	4	28	differential	differential	ADJ
ijassa-878	4	29	equations	equation	NOUN
ijassa-878	4	30	with	with	ADP
ijassa-878	4	31	delay	delay	NOUN
ijassa-878	4	32	,	,	PUNCT
ijassa-878	4	33	which	which	PRON
ijassa-878	4	34	has	have	AUX
ijassa-878	4	35	developed	develop	VERB
ijassa-878	4	36	rapidly	rapidly	ADV
ijassa-878	4	37	in	in	ADP
ijassa-878	4	38	recent	recent	ADJ
ijassa-878	4	39	decades	decade	NOUN
ijassa-878	5	1	[	[	X
ijassa-878	5	2	1–3	1–3	X
ijassa-878	5	3	]	]	PUNCT
ijassa-878	5	4	,	,	PUNCT
ijassa-878	5	5	has	have	AUX
ijassa-878	5	6	in	in	ADP
ijassa-878	5	7	many	many	ADJ
ijassa-878	5	8	ways	way	NOUN
ijassa-878	5	9	acquired	acquire	VERB
ijassa-878	5	10	a	a	DET
ijassa-878	5	11	complete	complete	ADJ
ijassa-878	5	12	form	form	NOUN
ijassa-878	5	13	and	and	CCONJ
ijassa-878	5	14	is	be	AUX
ijassa-878	5	15	now	now	ADV
ijassa-878	5	16	actively	actively	ADV
ijassa-878	5	17	used	use	VERB
ijassa-878	5	18	in	in	ADP
ijassa-878	5	19	modeling	model	VERB
ijassa-878	5	20	various	various	ADJ
ijassa-878	5	21	objects	object	NOUN
ijassa-878	5	22	.	.	PUNCT
ijassa-878	6	1	numerical	numerical	ADJ
ijassa-878	6	2	algorithms	algorithm	NOUN
ijassa-878	6	3	for	for	ADP
ijassa-878	6	4	solving	solve	VERB
ijassa-878	6	5	equations	equation	NOUN
ijassa-878	6	6	with	with	ADP
ijassa-878	6	7	delay	delay	NOUN
ijassa-878	6	8	of	of	ADP
ijassa-878	6	9	various	various	ADJ
ijassa-878	6	10	types	type	NOUN
ijassa-878	6	11	were	be	AUX
ijassa-878	6	12	also	also	ADV
ijassa-878	6	13	developed	develop	VERB
ijassa-878	6	14	[	[	X
ijassa-878	6	15	4	4	NUM
ijassa-878	6	16	,	,	PUNCT
ijassa-878	6	17	5	5	NUM
ijassa-878	6	18	]	]	PUNCT
ijassa-878	6	19	.	.	PUNCT
ijassa-878	7	1	at	at	ADP
ijassa-878	7	2	the	the	DET
ijassa-878	7	3	same	same	ADJ
ijassa-878	7	4	time	time	NOUN
ijassa-878	7	5	,	,	PUNCT
ijassa-878	7	6	numerical	numerical	ADJ
ijassa-878	7	7	methods	method	NOUN
ijassa-878	7	8	for	for	ADP
ijassa-878	7	9	equations	equation	NOUN
ijassa-878	7	10	with	with	ADP
ijassa-878	7	11	advanced	advanced	ADJ
ijassa-878	7	12	arguments	argument	NOUN
ijassa-878	7	13	(	(	PUNCT
ijassa-878	7	14	and	and	CCONJ
ijassa-878	7	15	,	,	PUNCT
ijassa-878	7	16	moreover	moreover	ADV
ijassa-878	7	17	,	,	PUNCT
ijassa-878	7	18	with	with	ADP
ijassa-878	7	19	mixed	mixed	ADJ
ijassa-878	7	20	type	type	NOUN
ijassa-878	7	21	deviations	deviation	NOUN
ijassa-878	7	22	)	)	PUNCT
ijassa-878	7	23	are	be	AUX
ijassa-878	7	24	practically	practically	ADV
ijassa-878	7	25	not	not	PART
ijassa-878	7	26	studied	study	VERB
ijassa-878	7	27	,	,	PUNCT
ijassa-878	7	28	although	although	SCONJ
ijassa-878	7	29	references	reference	NOUN
ijassa-878	7	30	to	to	ADP
ijassa-878	7	31	them	they	PRON
ijassa-878	7	32	have	have	AUX
ijassa-878	7	33	been	be	AUX
ijassa-878	7	34	encountered	encounter	VERB
ijassa-878	7	35	for	for	ADP
ijassa-878	7	36	a	a	DET
ijassa-878	7	37	long	long	ADJ
ijassa-878	7	38	time	time	NOUN
ijassa-878	7	39	,	,	PUNCT
ijassa-878	7	40	mainly	mainly	ADV
ijassa-878	7	41	in	in	ADP
ijassa-878	7	42	connection	connection	NOUN
ijassa-878	7	43	with	with	ADP
ijassa-878	7	44	the	the	DET
ijassa-878	7	45	classification	classification	NOUN
ijassa-878	7	46	of	of	ADP
ijassa-878	7	47	equations	equation	NOUN
ijassa-878	7	48	with	with	ADP
ijassa-878	7	49	deviating	deviate	VERB
ijassa-878	7	50	argument	argument	NOUN
ijassa-878	8	1	[	[	X
ijassa-878	8	2	6	6	NUM
ijassa-878	8	3	]	]	PUNCT
ijassa-878	8	4	.	.	PUNCT
ijassa-878	9	1	as	as	ADP
ijassa-878	9	2	a	a	DET
ijassa-878	9	3	rule	rule	NOUN
ijassa-878	9	4	,	,	PUNCT
ijassa-878	9	5	there	there	PRON
ijassa-878	9	6	is	be	VERB
ijassa-878	9	7	a	a	DET
ijassa-878	9	8	parsing	parsing	NOUN
ijassa-878	9	9	of	of	ADP
ijassa-878	9	10	equations	equation	NOUN
ijassa-878	9	11	of	of	ADP
ijassa-878	9	12	a	a	DET
ijassa-878	9	13	particular	particular	ADJ
ijassa-878	9	14	kind	kind	NOUN
ijassa-878	9	15	with	with	ADP
ijassa-878	9	16	further	far	ADV
ijassa-878	9	17	obtaining	obtain	VERB
ijassa-878	9	18	the	the	DET
ijassa-878	9	19	existence	existence	NOUN
ijassa-878	9	20	and	and	CCONJ
ijassa-878	9	21	uniqueness	uniqueness	ADJ
ijassa-878	9	22	theorems	theorem	NOUN
ijassa-878	9	23	based	base	VERB
ijassa-878	9	24	on	on	ADP
ijassa-878	9	25	the	the	DET
ijassa-878	9	26	use	use	NOUN
ijassa-878	9	27	of	of	ADP
ijassa-878	9	28	the	the	DET
ijassa-878	9	29	properties	property	NOUN
ijassa-878	9	30	of	of	ADP
ijassa-878	9	31	the	the	DET
ijassa-878	9	32	right	right	ADJ
ijassa-878	9	33	-	-	PUNCT
ijassa-878	9	34	hand	hand	NOUN
ijassa-878	9	35	side	side	NOUN
ijassa-878	9	36	[	[	X
ijassa-878	9	37	7	7	NUM
ijassa-878	9	38	]	]	PUNCT
ijassa-878	9	39	and	and	CCONJ
ijassa-878	9	40	application	application	NOUN
ijassa-878	9	41	of	of	ADP
ijassa-878	9	42	methods	method	NOUN
ijassa-878	9	43	,	,	PUNCT
ijassa-878	9	44	such	such	ADJ
ijassa-878	9	45	as	as	ADP
ijassa-878	9	46	the	the	DET
ijassa-878	9	47	study	study	NOUN
ijassa-878	9	48	of	of	ADP
ijassa-878	9	49	the	the	DET
ijassa-878	9	50	roots	root	NOUN
ijassa-878	9	51	of	of	ADP
ijassa-878	9	52	the	the	DET
ijassa-878	9	53	characteristic	characteristic	ADJ
ijassa-878	9	54	quasi	quasi	ADJ
ijassa-878	9	55	-	-	ADJ
ijassa-878	9	56	polynomial	polynomial	ADJ
ijassa-878	9	57	[	[	X
ijassa-878	9	58	8	8	NUM
ijassa-878	9	59	]	]	PUNCT
ijassa-878	9	60	,	,	PUNCT
ijassa-878	9	61	collocation	collocation	NOUN
ijassa-878	9	62	methods	method	NOUN
ijassa-878	9	63	and	and	CCONJ
ijassa-878	9	64	finite	finite	ADJ
ijassa-878	9	65	element	element	NOUN
ijassa-878	9	66	scheme	scheme	NOUN
ijassa-878	9	67	(	(	PUNCT
ijassa-878	9	68	expansion	expansion	NOUN
ijassa-878	9	69	of	of	ADP
ijassa-878	9	70	a	a	DET
ijassa-878	9	71	solution	solution	NOUN
ijassa-878	9	72	in	in	ADP
ijassa-878	9	73	terms	term	NOUN
ijassa-878	9	74	of	of	ADP
ijassa-878	9	75	basis	basis	NOUN
ijassa-878	9	76	functions	function	NOUN
ijassa-878	9	77	of	of	ADP
ijassa-878	9	78	some	some	DET
ijassa-878	9	79	finitedimensional	finitedimensional	ADJ
ijassa-878	9	80	space	space	NOUN
ijassa-878	9	81	)	)	PUNCT
ijassa-878	10	1	[	[	X
ijassa-878	10	2	9–11	9–11	X
ijassa-878	10	3	]	]	X
ijassa-878	10	4	or	or	CCONJ
ijassa-878	10	5	through	through	ADP
ijassa-878	10	6	the	the	DET
ijassa-878	10	7	construction	construction	NOUN
ijassa-878	10	8	of	of	ADP
ijassa-878	10	9	a	a	DET
ijassa-878	10	10	hilbert	hilbert	NOUN
ijassa-878	10	11	space	space	NOUN
ijassa-878	10	12	of	of	ADP
ijassa-878	10	13	the	the	DET
ijassa-878	10	14	reproducing	reproduce	VERB
ijassa-878	10	15	kernels	kernel	NOUN
ijassa-878	10	16	on	on	ADP
ijassa-878	10	17	the	the	DET
ijassa-878	10	18	basis	basis	NOUN
ijassa-878	10	19	of	of	ADP
ijassa-878	10	20	boundary	boundary	ADJ
ijassa-878	10	21	conditions	condition	NOUN
ijassa-878	10	22	[	[	X
ijassa-878	10	23	12	12	NUM
ijassa-878	10	24	]	]	PUNCT
ijassa-878	10	25	.	.	PUNCT
ijassa-878	11	1	for	for	ADP
ijassa-878	11	2	equations	equation	NOUN
ijassa-878	11	3	of	of	ADP
ijassa-878	11	4	a	a	DET
ijassa-878	11	5	delayed	delayed	ADJ
ijassa-878	11	6	type	type	NOUN
ijassa-878	11	7	,	,	PUNCT
ijassa-878	11	8	as	as	ADP
ijassa-878	11	9	a	a	DET
ijassa-878	11	10	rule	rule	NOUN
ijassa-878	11	11	,	,	PUNCT
ijassa-878	11	12	a	a	DET
ijassa-878	11	13	well	well	ADV
ijassa-878	11	14	-	-	PUNCT
ijassa-878	11	15	known	know	VERB
ijassa-878	11	16	initial	initial	ADJ
ijassa-878	11	17	problem	problem	NOUN
ijassa-878	11	18	is	be	AUX
ijassa-878	11	19	considered	consider	VERB
ijassa-878	11	20	when	when	SCONJ
ijassa-878	11	21	the	the	DET
ijassa-878	11	22	initial	initial	ADJ
ijassa-878	11	23	moment	moment	NOUN
ijassa-878	11	24	of	of	ADP
ijassa-878	11	25	time	time	NOUN
ijassa-878	11	26	coincides	coincide	VERB
ijassa-878	11	27	with	with	ADP
ijassa-878	11	28	the	the	DET
ijassa-878	11	29	left	left	ADJ
ijassa-878	11	30	end	end	NOUN
ijassa-878	11	31	of	of	ADP
ijassa-878	11	32	the	the	DET
ijassa-878	11	33	interval	interval	NOUN
ijassa-878	11	34	of	of	ADP
ijassa-878	11	35	equation	equation	NOUN
ijassa-878	11	36	’s	’s	PART
ijassa-878	11	37	domain	domain	NOUN
ijassa-878	11	38	.	.	PUNCT
ijassa-878	12	1	such	such	DET
ijassa-878	12	2	a	a	DET
ijassa-878	12	3	statement	statement	NOUN
ijassa-878	12	4	is	be	AUX
ijassa-878	12	5	characterized	characterize	VERB
ijassa-878	12	6	by	by	ADP
ijassa-878	12	7	the	the	DET
ijassa-878	12	8	fact	fact	NOUN
ijassa-878	12	9	that	that	SCONJ
ijassa-878	12	10	the	the	DET
ijassa-878	12	11	initial	initial	ADJ
ijassa-878	12	12	-	-	PUNCT
ijassa-878	12	13	boundary	boundary	NOUN
ijassa-878	12	14	conditions	condition	NOUN
ijassa-878	12	15	are	be	AUX
ijassa-878	12	16	local	local	ADJ
ijassa-878	12	17	in	in	ADP
ijassa-878	12	18	nature	nature	NOUN
ijassa-878	12	19	,	,	PUNCT
ijassa-878	12	20	and	and	CCONJ
ijassa-878	12	21	the	the	DET
ijassa-878	12	22	equation	equation	NOUN
ijassa-878	12	23	itself	itself	PRON
ijassa-878	12	24	can	can	AUX
ijassa-878	12	25	be	be	AUX
ijassa-878	12	26	integrated	integrate	VERB
ijassa-878	12	27	by	by	ADP
ijassa-878	12	28	the	the	DET
ijassa-878	12	29	step	step	NOUN
ijassa-878	12	30	method	method	NOUN
ijassa-878	12	31	.	.	PUNCT
ijassa-878	13	1	in	in	ADP
ijassa-878	13	2	all	all	DET
ijassa-878	13	3	other	other	ADJ
ijassa-878	13	4	cases	case	NOUN
ijassa-878	13	5	,	,	PUNCT
ijassa-878	13	6	and	and	CCONJ
ijassa-878	13	7	even	even	ADV
ijassa-878	13	8	more	more	ADV
ijassa-878	13	9	so	so	ADV
ijassa-878	13	10	in	in	ADP
ijassa-878	13	11	the	the	DET
ijassa-878	13	12	case	case	NOUN
ijassa-878	13	13	of	of	ADP
ijassa-878	13	14	functional	functional	ADJ
ijassa-878	13	15	differential	differential	ADJ
ijassa-878	13	16	equations	equation	NOUN
ijassa-878	13	17	of	of	ADP
ijassa-878	13	18	pointwise	pointwise	ADJ
ijassa-878	13	19	type	type	NOUN
ijassa-878	13	20	(	(	PUNCT
ijassa-878	13	21	fdept	fdept	PROPN
ijassa-878	13	22	)	)	PUNCT
ijassa-878	13	23	with	with	ADP
ijassa-878	13	24	mixed	mixed	ADJ
ijassa-878	13	25	-	-	PUNCT
ijassa-878	13	26	type	type	NOUN
ijassa-878	13	27	deviations	deviation	NOUN
ijassa-878	13	28	,	,	PUNCT
ijassa-878	13	29	the	the	DET
ijassa-878	13	30	initial	initial	ADJ
ijassa-878	13	31	-	-	PUNCT
ijassa-878	13	32	boundary	boundary	NOUN
ijassa-878	13	33	conditions	condition	NOUN
ijassa-878	13	34	are	be	AUX
ijassa-878	13	35	nonlocal	nonlocal	ADJ
ijassa-878	13	36	in	in	ADP
ijassa-878	13	37	nature	nature	NOUN
ijassa-878	13	38	.	.	PUNCT
ijassa-878	14	1	one	one	NUM
ijassa-878	14	2	of	of	ADP
ijassa-878	14	3	the	the	DET
ijassa-878	14	4	approaches	approach	NOUN
ijassa-878	14	5	to	to	ADP
ijassa-878	14	6	the	the	DET
ijassa-878	14	7	construction	construction	NOUN
ijassa-878	14	8	of	of	ADP
ijassa-878	14	9	numerical	numerical	ADJ
ijassa-878	14	10	methods	method	NOUN
ijassa-878	14	11	for	for	ADP
ijassa-878	14	12	fdept	fdept	PROPN
ijassa-878	14	13	is	be	AUX
ijassa-878	14	14	the	the	DET
ijassa-878	14	15	variational	variational	ADJ
ijassa-878	14	16	method	method	NOUN
ijassa-878	14	17	based	base	VERB
ijassa-878	14	18	on	on	ADP
ijassa-878	14	19	solving	solve	VERB
ijassa-878	14	20	the	the	DET
ijassa-878	14	21	induced	induce	VERB
ijassa-878	14	22	optimal	optimal	ADJ
ijassa-878	14	23	control	control	NOUN
ijassa-878	14	24	problem	problem	NOUN
ijassa-878	14	25	(	(	PUNCT
ijassa-878	14	26	ocp	ocp	PROPN
ijassa-878	14	27	)	)	PUNCT
ijassa-878	14	28	as	as	ADP
ijassa-878	14	29	an	an	DET
ijassa-878	14	30	unconditional	unconditional	ADJ
ijassa-878	14	31	optimization	optimization	NOUN
ijassa-878	14	32	problem	problem	NOUN
ijassa-878	14	33	for	for	ADP
ijassa-878	14	34	the	the	DET
ijassa-878	14	35	residual	residual	ADJ
ijassa-878	14	36	functional	functional	NOUN
ijassa-878	14	37	.	.	PUNCT
ijassa-878	15	1	as	as	SCONJ
ijassa-878	15	2	noted	note	VERB
ijassa-878	15	3	earlier	early	ADV
ijassa-878	15	4	,	,	PUNCT
ijassa-878	15	5	the	the	DET
ijassa-878	15	6	initialboundary	initialboundary	ADJ
ijassa-878	15	7	conditions	condition	NOUN
ijassa-878	15	8	for	for	ADP
ijassa-878	15	9	fdept	fdept	NOUN
ijassa-878	15	10	are	be	AUX
ijassa-878	15	11	not	not	PART
ijassa-878	15	12	local	local	ADJ
ijassa-878	15	13	,	,	PUNCT
ijassa-878	15	14	therefore	therefore	ADV
ijassa-878	15	15	,	,	PUNCT
ijassa-878	15	16	the	the	DET
ijassa-878	15	17	solution	solution	NOUN
ijassa-878	15	18	of	of	ADP
ijassa-878	15	19	the	the	DET
ijassa-878	15	20	variational	variational	ADJ
ijassa-878	15	21	problem	problem	NOUN
ijassa-878	15	22	for	for	ADP
ijassa-878	15	23	the	the	DET
ijassa-878	15	24	residual	residual	ADJ
ijassa-878	15	25	functional	functional	NOUN
ijassa-878	15	26	can	can	AUX
ijassa-878	15	27	not	not	PART
ijassa-878	15	28	be	be	AUX
ijassa-878	15	29	obtained	obtain	VERB
ijassa-878	15	30	by	by	ADP
ijassa-878	15	31	simple	simple	ADJ
ijassa-878	15	32	local	local	ADJ
ijassa-878	15	33	improvements	improvement	NOUN
ijassa-878	15	34	and	and	CCONJ
ijassa-878	15	35	requires	require	VERB
ijassa-878	15	36	global	global	ADJ
ijassa-878	15	37	optimization	optimization	NOUN
ijassa-878	15	38	.	.	PUNCT
ijassa-878	16	1	note	note	VERB
ijassa-878	16	2	that	that	SCONJ
ijassa-878	16	3	for	for	ADP
ijassa-878	16	4	problems	problem	NOUN
ijassa-878	16	5	of	of	ADP
ijassa-878	16	6	finite	finite	ADJ
ijassa-878	16	7	-	-	ADJ
ijassa-878	16	8	dimensional	dimensional	ADJ
ijassa-878	16	9	optimization	optimization	NOUN
ijassa-878	16	10	there	there	ADV
ijassa-878	16	11	∗corresponding	∗corresponde	VERB
ijassa-878	16	12	author	author	NOUN
ijassa-878	16	13	:	:	PUNCT
ijassa-878	16	14	abeklaryan@hse.ru	abeklaryan@hse.ru	PROPN
ijassa-878	16	15	numerical	numerical	ADJ
ijassa-878	16	16	methods	method	NOUN
ijassa-878	16	17	for	for	ADP
ijassa-878	16	18	functional	functional	ADJ
ijassa-878	16	19	differential	differential	ADJ
ijassa-878	16	20	equations	equation	NOUN
ijassa-878	16	21	57	57	NUM
ijassa-878	16	22	are	be	AUX
ijassa-878	16	23	many	many	ADJ
ijassa-878	16	24	approaches	approach	NOUN
ijassa-878	16	25	to	to	ADP
ijassa-878	16	26	finding	find	VERB
ijassa-878	16	27	a	a	DET
ijassa-878	16	28	global	global	ADJ
ijassa-878	16	29	extremum	extremum	ADJ
ijassa-878	16	30	,	,	PUNCT
ijassa-878	16	31	sufficiently	sufficiently	ADV
ijassa-878	16	32	efficient	efficient	ADJ
ijassa-878	16	33	algorithms	algorithm	NOUN
ijassa-878	16	34	are	be	AUX
ijassa-878	16	35	built	build	VERB
ijassa-878	16	36	,	,	PUNCT
ijassa-878	16	37	there	there	PRON
ijassa-878	16	38	are	be	VERB
ijassa-878	16	39	a	a	DET
ijassa-878	16	40	large	large	ADJ
ijassa-878	16	41	number	number	NOUN
ijassa-878	16	42	of	of	ADP
ijassa-878	16	43	publications	publication	NOUN
ijassa-878	16	44	that	that	SCONJ
ijassa-878	16	45	present	present	ADJ
ijassa-878	16	46	precedents	precedent	NOUN
ijassa-878	16	47	for	for	ADP
ijassa-878	16	48	successfully	successfully	ADV
ijassa-878	16	49	solved	solve	VERB
ijassa-878	16	50	problems	problem	NOUN
ijassa-878	16	51	[	[	X
ijassa-878	16	52	13	13	NUM
ijassa-878	16	53	,	,	PUNCT
ijassa-878	16	54	14	14	NUM
ijassa-878	16	55	,	,	PUNCT
ijassa-878	16	56	for	for	ADP
ijassa-878	16	57	example	example	NOUN
ijassa-878	16	58	]	]	PUNCT
ijassa-878	16	59	.	.	PUNCT
ijassa-878	17	1	at	at	ADP
ijassa-878	17	2	the	the	DET
ijassa-878	17	3	same	same	ADJ
ijassa-878	17	4	time	time	NOUN
ijassa-878	17	5	,	,	PUNCT
ijassa-878	17	6	the	the	DET
ijassa-878	17	7	task	task	NOUN
ijassa-878	17	8	of	of	ADP
ijassa-878	17	9	finding	find	VERB
ijassa-878	17	10	global	global	ADJ
ijassa-878	17	11	extremum	extremum	NOUN
ijassa-878	17	12	for	for	ADP
ijassa-878	17	13	ocp	ocp	PROPN
ijassa-878	17	14	remains	remain	VERB
ijassa-878	17	15	one	one	NUM
ijassa-878	17	16	of	of	ADP
ijassa-878	17	17	the	the	DET
ijassa-878	17	18	most	most	ADV
ijassa-878	17	19	acute	acute	ADJ
ijassa-878	17	20	tasks	task	NOUN
ijassa-878	17	21	in	in	ADP
ijassa-878	17	22	the	the	DET
ijassa-878	17	23	extreme	extreme	ADJ
ijassa-878	17	24	problems	problem	NOUN
ijassa-878	17	25	theory	theory	NOUN
ijassa-878	17	26	.	.	PUNCT
ijassa-878	18	1	among	among	ADP
ijassa-878	18	2	classical	classical	ADJ
ijassa-878	18	3	approaches	approach	NOUN
ijassa-878	18	4	to	to	ADP
ijassa-878	18	5	this	this	DET
ijassa-878	18	6	task	task	NOUN
ijassa-878	18	7	one	one	PRON
ijassa-878	18	8	can	can	AUX
ijassa-878	18	9	not	not	PART
ijassa-878	18	10	fail	fail	VERB
ijassa-878	18	11	to	to	PART
ijassa-878	18	12	mention	mention	VERB
ijassa-878	18	13	the	the	DET
ijassa-878	18	14	works	work	NOUN
ijassa-878	18	15	[	[	X
ijassa-878	18	16	15	15	NUM
ijassa-878	18	17	]	]	PUNCT
ijassa-878	18	18	and	and	CCONJ
ijassa-878	18	19	[	[	X
ijassa-878	18	20	16	16	NUM
ijassa-878	18	21	]	]	PUNCT
ijassa-878	18	22	.	.	PUNCT
ijassa-878	19	1	some	some	DET
ijassa-878	19	2	works	work	NOUN
ijassa-878	19	3	that	that	PRON
ijassa-878	19	4	apply	apply	VERB
ijassa-878	19	5	search	search	NOUN
ijassa-878	19	6	and	and	CCONJ
ijassa-878	19	7	genetic	genetic	ADJ
ijassa-878	19	8	algorithms	algorithm	NOUN
ijassa-878	19	9	are	be	AUX
ijassa-878	19	10	also	also	ADV
ijassa-878	19	11	well	well	ADV
ijassa-878	19	12	-	-	PUNCT
ijassa-878	19	13	known	know	VERB
ijassa-878	19	14	[	[	X
ijassa-878	19	15	17	17	NUM
ijassa-878	19	16	,	,	PUNCT
ijassa-878	19	17	18	18	NUM
ijassa-878	19	18	]	]	PUNCT
ijassa-878	19	19	.	.	PUNCT
ijassa-878	20	1	but	but	CCONJ
ijassa-878	20	2	unfortunately	unfortunately	ADV
ijassa-878	20	3	these	these	DET
ijassa-878	20	4	efforts	effort	NOUN
ijassa-878	20	5	have	have	AUX
ijassa-878	20	6	not	not	PART
ijassa-878	20	7	yet	yet	ADV
ijassa-878	20	8	brought	bring	VERB
ijassa-878	20	9	about	about	ADP
ijassa-878	20	10	effective	effective	ADJ
ijassa-878	20	11	algorithms	algorithm	NOUN
ijassa-878	20	12	that	that	PRON
ijassa-878	20	13	would	would	AUX
ijassa-878	20	14	be	be	AUX
ijassa-878	20	15	able	able	ADJ
ijassa-878	20	16	to	to	PART
ijassa-878	20	17	solve	solve	VERB
ijassa-878	20	18	a	a	DET
ijassa-878	20	19	wide	wide	ADJ
ijassa-878	20	20	spectrum	spectrum	NOUN
ijassa-878	20	21	of	of	ADP
ijassa-878	20	22	practical	practical	ADJ
ijassa-878	20	23	problems	problem	NOUN
ijassa-878	20	24	[	[	X
ijassa-878	20	25	19	19	NUM
ijassa-878	20	26	]	]	PUNCT
ijassa-878	20	27	.	.	PUNCT
ijassa-878	21	1	one	one	NUM
ijassa-878	21	2	of	of	ADP
ijassa-878	21	3	the	the	DET
ijassa-878	21	4	ideas	idea	NOUN
ijassa-878	21	5	in	in	ADP
ijassa-878	21	6	this	this	DET
ijassa-878	21	7	area	area	NOUN
ijassa-878	21	8	is	be	AUX
ijassa-878	21	9	the	the	DET
ijassa-878	21	10	idea	idea	NOUN
ijassa-878	21	11	of	of	ADP
ijassa-878	21	12	reducing	reduce	VERB
ijassa-878	21	13	the	the	DET
ijassa-878	21	14	optimal	optimal	ADJ
ijassa-878	21	15	control	control	NOUN
ijassa-878	21	16	problem	problem	NOUN
ijassa-878	21	17	to	to	ADP
ijassa-878	21	18	a	a	DET
ijassa-878	21	19	low	low	ADJ
ijassa-878	21	20	-	-	PUNCT
ijassa-878	21	21	dimensional	dimensional	ADJ
ijassa-878	21	22	problem	problem	NOUN
ijassa-878	21	23	on	on	ADP
ijassa-878	21	24	the	the	DET
ijassa-878	21	25	reachability	reachability	NOUN
ijassa-878	21	26	set	set	NOUN
ijassa-878	21	27	of	of	ADP
ijassa-878	21	28	a	a	DET
ijassa-878	21	29	controlled	control	VERB
ijassa-878	21	30	system	system	NOUN
ijassa-878	21	31	[	[	X
ijassa-878	21	32	20	20	NUM
ijassa-878	21	33	]	]	PUNCT
ijassa-878	21	34	.	.	PUNCT
ijassa-878	22	1	unfortunately	unfortunately	ADV
ijassa-878	22	2	,	,	PUNCT
ijassa-878	22	3	the	the	DET
ijassa-878	22	4	problem	problem	NOUN
ijassa-878	22	5	of	of	ADP
ijassa-878	22	6	approximating	approximate	VERB
ijassa-878	22	7	the	the	DET
ijassa-878	22	8	reachable	reachable	ADJ
ijassa-878	22	9	set	set	NOUN
ijassa-878	22	10	in	in	ADP
ijassa-878	22	11	the	the	DET
ijassa-878	22	12	numerical	numerical	ADJ
ijassa-878	22	13	solution	solution	NOUN
ijassa-878	22	14	is	be	AUX
ijassa-878	22	15	not	not	PART
ijassa-878	22	16	much	much	ADV
ijassa-878	22	17	simpler	simple	ADJ
ijassa-878	22	18	than	than	ADP
ijassa-878	22	19	the	the	DET
ijassa-878	22	20	problem	problem	NOUN
ijassa-878	22	21	of	of	ADP
ijassa-878	22	22	finding	find	VERB
ijassa-878	22	23	a	a	DET
ijassa-878	22	24	global	global	ADJ
ijassa-878	22	25	extremum	extremum	NOUN
ijassa-878	22	26	.	.	PUNCT
ijassa-878	23	1	nevertheless	nevertheless	ADV
ijassa-878	23	2	,	,	PUNCT
ijassa-878	23	3	the	the	DET
ijassa-878	23	4	properties	property	NOUN
ijassa-878	23	5	of	of	ADP
ijassa-878	23	6	the	the	DET
ijassa-878	23	7	reachable	reachable	ADJ
ijassa-878	23	8	set	set	NOUN
ijassa-878	23	9	known	know	VERB
ijassa-878	23	10	from	from	ADP
ijassa-878	23	11	theoretical	theoretical	ADJ
ijassa-878	23	12	studies	study	NOUN
ijassa-878	23	13	can	can	AUX
ijassa-878	23	14	be	be	AUX
ijassa-878	23	15	used	use	VERB
ijassa-878	23	16	to	to	PART
ijassa-878	23	17	construct	construct	VERB
ijassa-878	23	18	specialized	specialized	ADJ
ijassa-878	23	19	optimization	optimization	NOUN
ijassa-878	23	20	algorithms	algorithm	NOUN
ijassa-878	23	21	for	for	ADP
ijassa-878	23	22	ocp	ocp	PROPN
ijassa-878	23	23	[	[	X
ijassa-878	23	24	21	21	NUM
ijassa-878	23	25	]	]	PUNCT
ijassa-878	23	26	.	.	PUNCT
ijassa-878	24	1	in	in	ADP
ijassa-878	24	2	particular	particular	ADJ
ijassa-878	24	3	,	,	PUNCT
ijassa-878	24	4	the	the	DET
ijassa-878	24	5	connectivity	connectivity	NOUN
ijassa-878	24	6	property	property	NOUN
ijassa-878	24	7	of	of	ADP
ijassa-878	24	8	the	the	DET
ijassa-878	24	9	reachability	reachability	NOUN
ijassa-878	24	10	set	set	VERB
ijassa-878	24	11	allows	allow	VERB
ijassa-878	24	12	one	one	NUM
ijassa-878	24	13	to	to	PART
ijassa-878	24	14	construct	construct	VERB
ijassa-878	24	15	a	a	DET
ijassa-878	24	16	scheme	scheme	NOUN
ijassa-878	24	17	of	of	ADP
ijassa-878	24	18	continuous	continuous	ADJ
ijassa-878	24	19	control	control	NOUN
ijassa-878	24	20	variation	variation	NOUN
ijassa-878	24	21	that	that	PRON
ijassa-878	24	22	leads	lead	VERB
ijassa-878	24	23	to	to	ADP
ijassa-878	24	24	the	the	DET
ijassa-878	24	25	solution	solution	NOUN
ijassa-878	24	26	of	of	ADP
ijassa-878	24	27	the	the	DET
ijassa-878	24	28	problem	problem	NOUN
ijassa-878	24	29	.	.	PUNCT
ijassa-878	25	1	the	the	DET
ijassa-878	25	2	idea	idea	NOUN
ijassa-878	25	3	of	of	ADP
ijassa-878	25	4	using	use	VERB
ijassa-878	25	5	the	the	DET
ijassa-878	25	6	connectivity	connectivity	NOUN
ijassa-878	25	7	property	property	NOUN
ijassa-878	25	8	of	of	ADP
ijassa-878	25	9	the	the	DET
ijassa-878	25	10	reachability	reachability	NOUN
ijassa-878	25	11	set	set	VERB
ijassa-878	25	12	when	when	SCONJ
ijassa-878	25	13	constructing	construct	VERB
ijassa-878	25	14	numerical	numerical	ADJ
ijassa-878	25	15	optimization	optimization	NOUN
ijassa-878	25	16	algorithms	algorithm	NOUN
ijassa-878	25	17	belongs	belong	VERB
ijassa-878	25	18	to	to	ADP
ijassa-878	25	19	a.g	a.g	PROPN
ijassa-878	25	20	.	.	PROPN
ijassa-878	25	21	chentsov	chentsov	PROPN
ijassa-878	25	22	[	[	X
ijassa-878	25	23	22	22	NUM
ijassa-878	25	24	]	]	PUNCT
ijassa-878	25	25	.	.	PUNCT
ijassa-878	26	1	in	in	ADP
ijassa-878	26	2	the	the	DET
ijassa-878	26	3	majority	majority	NOUN
ijassa-878	26	4	of	of	ADP
ijassa-878	26	5	well	well	ADV
ijassa-878	26	6	-	-	PUNCT
ijassa-878	26	7	known	know	VERB
ijassa-878	26	8	approaches	approach	NOUN
ijassa-878	26	9	to	to	ADP
ijassa-878	26	10	the	the	DET
ijassa-878	26	11	construction	construction	NOUN
ijassa-878	26	12	of	of	ADP
ijassa-878	26	13	non	non	ADJ
ijassa-878	26	14	-	-	ADJ
ijassa-878	26	15	convex	convex	ADJ
ijassa-878	26	16	optimization	optimization	NOUN
ijassa-878	26	17	methods	method	NOUN
ijassa-878	26	18	,	,	PUNCT
ijassa-878	26	19	the	the	DET
ijassa-878	26	20	solution	solution	NOUN
ijassa-878	26	21	of	of	ADP
ijassa-878	26	22	the	the	DET
ijassa-878	26	23	problem	problem	NOUN
ijassa-878	26	24	is	be	AUX
ijassa-878	26	25	divided	divide	VERB
ijassa-878	26	26	into	into	ADP
ijassa-878	26	27	two	two	NUM
ijassa-878	26	28	stages	stage	NOUN
ijassa-878	26	29	:	:	PUNCT
ijassa-878	26	30	“	"	PUNCT
ijassa-878	26	31	global	global	ADJ
ijassa-878	26	32	”	"	PUNCT
ijassa-878	26	33	,	,	PUNCT
ijassa-878	26	34	where	where	SCONJ
ijassa-878	26	35	a	a	DET
ijassa-878	26	36	wide	wide	ADJ
ijassa-878	26	37	scan	scan	NOUN
ijassa-878	26	38	of	of	ADP
ijassa-878	26	39	the	the	DET
ijassa-878	26	40	variable	variable	ADJ
ijassa-878	26	41	space	space	NOUN
ijassa-878	26	42	is	be	AUX
ijassa-878	26	43	performed	perform	VERB
ijassa-878	26	44	,	,	PUNCT
ijassa-878	26	45	and	and	CCONJ
ijassa-878	26	46	“	"	PUNCT
ijassa-878	26	47	local	local	ADJ
ijassa-878	26	48	”	"	PUNCT
ijassa-878	26	49	,	,	PUNCT
ijassa-878	26	50	aimed	aim	VERB
ijassa-878	26	51	on	on	ADP
ijassa-878	26	52	local	local	ADJ
ijassa-878	26	53	refinement	refinement	NOUN
ijassa-878	26	54	of	of	ADP
ijassa-878	26	55	the	the	DET
ijassa-878	26	56	obtained	obtain	VERB
ijassa-878	26	57	solution	solution	NOUN
ijassa-878	26	58	[	[	X
ijassa-878	26	59	14	14	NUM
ijassa-878	26	60	]	]	PUNCT
ijassa-878	26	61	.	.	PUNCT
ijassa-878	27	1	the	the	DET
ijassa-878	27	2	combination	combination	NOUN
ijassa-878	27	3	of	of	ADP
ijassa-878	27	4	different	different	ADJ
ijassa-878	27	5	methods	method	NOUN
ijassa-878	27	6	at	at	ADP
ijassa-878	27	7	each	each	DET
ijassa-878	27	8	stage	stage	NOUN
ijassa-878	27	9	,	,	PUNCT
ijassa-878	27	10	as	as	ADV
ijassa-878	27	11	well	well	ADV
ijassa-878	27	12	as	as	ADP
ijassa-878	27	13	the	the	DET
ijassa-878	27	14	order	order	NOUN
ijassa-878	27	15	of	of	ADP
ijassa-878	27	16	the	the	DET
ijassa-878	27	17	alternation	alternation	NOUN
ijassa-878	27	18	of	of	ADP
ijassa-878	27	19	stages	stage	NOUN
ijassa-878	27	20	,	,	PUNCT
ijassa-878	27	21	determines	determine	VERB
ijassa-878	27	22	the	the	DET
ijassa-878	27	23	specific	specific	ADJ
ijassa-878	27	24	computational	computational	ADJ
ijassa-878	27	25	algorithm	algorithm	NOUN
ijassa-878	27	26	.	.	PUNCT
ijassa-878	28	1	for	for	ADP
ijassa-878	28	2	mentioned	mention	VERB
ijassa-878	28	3	class	class	NOUN
ijassa-878	28	4	of	of	ADP
ijassa-878	28	5	problems	problem	NOUN
ijassa-878	28	6	,	,	PUNCT
ijassa-878	28	7	we	we	PRON
ijassa-878	28	8	consider	consider	VERB
ijassa-878	28	9	a	a	DET
ijassa-878	28	10	idea	idea	NOUN
ijassa-878	28	11	of	of	ADP
ijassa-878	28	12	combining	combine	VERB
ijassa-878	28	13	both	both	DET
ijassa-878	28	14	stages	stage	NOUN
ijassa-878	28	15	in	in	ADP
ijassa-878	28	16	one	one	NUM
ijassa-878	28	17	algorithm	algorithm	NOUN
ijassa-878	28	18	package	package	NOUN
ijassa-878	28	19	and	and	CCONJ
ijassa-878	28	20	creating	create	VERB
ijassa-878	28	21	a	a	DET
ijassa-878	28	22	method	method	NOUN
ijassa-878	28	23	that	that	PRON
ijassa-878	28	24	allows	allow	VERB
ijassa-878	28	25	one	one	PRON
ijassa-878	28	26	to	to	PART
ijassa-878	28	27	select	select	VERB
ijassa-878	28	28	and	and	CCONJ
ijassa-878	28	29	change	change	VERB
ijassa-878	28	30	both	both	DET
ijassa-878	28	31	the	the	DET
ijassa-878	28	32	“	"	PUNCT
ijassa-878	28	33	global	global	ADJ
ijassa-878	28	34	scan	scan	ADJ
ijassa-878	28	35	”	"	PUNCT
ijassa-878	28	36	procedure	procedure	NOUN
ijassa-878	28	37	and	and	CCONJ
ijassa-878	28	38	local	local	ADJ
ijassa-878	28	39	improvement	improvement	NOUN
ijassa-878	28	40	of	of	ADP
ijassa-878	28	41	the	the	DET
ijassa-878	28	42	obtained	obtain	VERB
ijassa-878	28	43	approximate	approximate	ADJ
ijassa-878	28	44	solution	solution	NOUN
ijassa-878	28	45	at	at	ADP
ijassa-878	28	46	each	each	DET
ijassa-878	28	47	iteration	iteration	NOUN
ijassa-878	28	48	[	[	X
ijassa-878	28	49	23	23	NUM
ijassa-878	28	50	]	]	PUNCT
ijassa-878	28	51	.	.	PUNCT
ijassa-878	29	1	2	2	X
ijassa-878	29	2	.	.	X
ijassa-878	29	3	statement	statement	NOUN
ijassa-878	29	4	of	of	ADP
ijassa-878	29	5	the	the	DET
ijassa-878	29	6	initial	initial	ADJ
ijassa-878	29	7	boundary	boundary	ADJ
ijassa-878	29	8	-	-	PUNCT
ijassa-878	29	9	value	value	NOUN
ijassa-878	29	10	problem	problem	NOUN
ijassa-878	29	11	the	the	DET
ijassa-878	29	12	most	most	ADV
ijassa-878	29	13	important	important	ADJ
ijassa-878	29	14	goal	goal	NOUN
ijassa-878	29	15	in	in	ADP
ijassa-878	29	16	fdept	fdept	PROPN
ijassa-878	29	17	is	be	AUX
ijassa-878	29	18	the	the	DET
ijassa-878	29	19	study	study	NOUN
ijassa-878	29	20	of	of	ADP
ijassa-878	29	21	the	the	DET
ijassa-878	29	22	basic	basic	ADJ
ijassa-878	29	23	initial	initial	ADJ
ijassa-878	29	24	-	-	PUNCT
ijassa-878	29	25	boundary	boundary	NOUN
ijassa-878	29	26	value	value	NOUN
ijassa-878	29	27	problem	problem	NOUN
ijassa-878	29	28	ẋ(t	ẋ(t	PUNCT
ijassa-878	29	29	)	)	PUNCT
ijassa-878	30	1	=	=	SYM
ijassa-878	30	2	f(t	f(t	NOUN
ijassa-878	30	3	,	,	PUNCT
ijassa-878	30	4	x(q1(t	x(q1(t	PROPN
ijassa-878	30	5	)	)	PUNCT
ijassa-878	30	6	)	)	PUNCT
ijassa-878	30	7	,	,	PUNCT
ijassa-878	30	8	.	.	PUNCT
ijassa-878	30	9	.	.	PUNCT
ijassa-878	30	10	.	.	PUNCT
ijassa-878	31	1	,	,	PUNCT
ijassa-878	31	2	x(qs(t	x(qs(t	PROPN
ijassa-878	31	3	)	)	PUNCT
ijassa-878	31	4	)	)	PUNCT
ijassa-878	31	5	)	)	PUNCT
ijassa-878	32	1	,	,	PUNCT
ijassa-878	32	2	t	t	PROPN
ijassa-878	32	3	∈	∈	PROPN
ijassa-878	32	4	br	br	PROPN
ijassa-878	32	5	,	,	PUNCT
ijassa-878	32	6	(	(	PUNCT
ijassa-878	32	7	2.1	2.1	NUM
ijassa-878	32	8	)	)	PUNCT
ijassa-878	32	9	ẋ(t	ẋ(t	NOUN
ijassa-878	32	10	)	)	PUNCT
ijassa-878	32	11	=	=	SYM
ijassa-878	32	12	ϕ(t	ϕ(t	PROPN
ijassa-878	32	13	)	)	PUNCT
ijassa-878	32	14	,	,	PUNCT
ijassa-878	32	15	t	t	PROPN
ijassa-878	32	16	∈	∈	PROPN
ijassa-878	32	17	r\br	r\br	PROPN
ijassa-878	32	18	,	,	PUNCT
ijassa-878	32	19	ϕ	ϕ	X
ijassa-878	32	20	(	(	PUNCT
ijassa-878	32	21	·	·	PUNCT
ijassa-878	32	22	)	)	PUNCT
ijassa-878	32	23	∈	∈	PROPN
ijassa-878	32	24	l∞(r	l∞(r	PROPN
ijassa-878	32	25	,	,	PUNCT
ijassa-878	32	26	rn	rn	PROPN
ijassa-878	32	27	)	)	PUNCT
ijassa-878	32	28	,	,	PUNCT
ijassa-878	32	29	(	(	PUNCT
ijassa-878	32	30	2.2	2.2	NUM
ijassa-878	32	31	)	)	PUNCT
ijassa-878	32	32	x(t̄	x(t̄	NUM
ijassa-878	32	33	)	)	PUNCT
ijassa-878	32	34	=	=	PUNCT
ijassa-878	33	1	x̄	x̄	PROPN
ijassa-878	33	2	,	,	PUNCT
ijassa-878	33	3	t̄	t̄	PROPN
ijassa-878	33	4	∈	∈	PROPN
ijassa-878	33	5	r	r	PROPN
ijassa-878	33	6	,	,	PUNCT
ijassa-878	33	7	x̄	x̄	PROPN
ijassa-878	33	8	∈	∈	PROPN
ijassa-878	33	9	rn	rn	PROPN
ijassa-878	33	10	.	.	PROPN
ijassa-878	33	11	(	(	PUNCT
ijassa-878	33	12	2.3	2.3	NUM
ijassa-878	33	13	)	)	PUNCT
ijassa-878	33	14	where	where	SCONJ
ijassa-878	33	15	f	f	X
ijassa-878	33	16	:	:	PUNCT
ijassa-878	33	17	r×	r×	NOUN
ijassa-878	33	18	rns	rn	NOUN
ijassa-878	33	19	−→	−→	NOUN
ijassa-878	33	20	rn	rn	PROPN
ijassa-878	33	21	is	be	AUX
ijassa-878	33	22	a	a	DET
ijassa-878	33	23	mapping	mapping	NOUN
ijassa-878	33	24	of	of	ADP
ijassa-878	33	25	the	the	DET
ijassa-878	33	26	c(0	c(0	NOUN
ijassa-878	33	27	)	)	PUNCT
ijassa-878	33	28	class	class	NOUN
ijassa-878	33	29	,	,	PUNCT
ijassa-878	33	30	qj	qj	PROPN
ijassa-878	33	31	(	(	PUNCT
ijassa-878	33	32	·	·	PUNCT
ijassa-878	33	33	)	)	PUNCT
ijassa-878	33	34	,	,	PUNCT
ijassa-878	33	35	j	j	PROPN
ijassa-878	33	36	=	=	SYM
ijassa-878	33	37	1	1	NUM
ijassa-878	33	38	,	,	PUNCT
ijassa-878	33	39	.	.	PUNCT
ijassa-878	33	40	.	.	PUNCT
ijassa-878	34	1	.	.	PUNCT
ijassa-878	35	1	,	,	PUNCT
ijassa-878	35	2	s	s	X
ijassa-878	35	3	,	,	PUNCT
ijassa-878	35	4	represent	represent	VERB
ijassa-878	35	5	diffeomorphisms	diffeomorphism	NOUN
ijassa-878	35	6	of	of	ADP
ijassa-878	35	7	the	the	DET
ijassa-878	35	8	line	line	NOUN
ijassa-878	35	9	preserving	preserve	VERB
ijassa-878	35	10	orientation	orientation	NOUN
ijassa-878	35	11	,	,	PUNCT
ijassa-878	35	12	andbr	andbr	NOUN
ijassa-878	35	13	is	be	AUX
ijassa-878	35	14	either	either	CCONJ
ijassa-878	35	15	the	the	DET
ijassa-878	35	16	closed	closed	ADJ
ijassa-878	35	17	interval	interval	NOUN
ijassa-878	35	18	[	[	X
ijassa-878	35	19	t0	t0	NOUN
ijassa-878	35	20	,	,	PUNCT
ijassa-878	35	21	t1	t1	PROPN
ijassa-878	35	22	]	]	X
ijassa-878	35	23	,	,	PUNCT
ijassa-878	35	24	or	or	CCONJ
ijassa-878	35	25	closed	close	VERB
ijassa-878	35	26	half	half	ADJ
ijassa-878	35	27	-	-	PUNCT
ijassa-878	35	28	line	line	NOUN
ijassa-878	35	29	[	[	X
ijassa-878	35	30	t0,+∞	t0,+∞	NUM
ijassa-878	35	31	)	)	PUNCT
ijassa-878	35	32	,	,	PUNCT
ijassa-878	35	33	or	or	CCONJ
ijassa-878	35	34	the	the	DET
ijassa-878	35	35	whole	whole	ADJ
ijassa-878	35	36	line	line	NOUN
ijassa-878	35	37	r.	r.	PROPN
ijassa-878	35	38	in	in	ADP
ijassa-878	35	39	the	the	DET
ijassa-878	35	40	case	case	NOUN
ijassa-878	35	41	of	of	ADP
ijassa-878	35	42	a	a	DET
ijassa-878	35	43	delayed	delay	VERB
ijassa-878	35	44	-	-	PUNCT
ijassa-878	35	45	type	type	NOUN
ijassa-878	35	46	equation	equation	NOUN
ijassa-878	35	47	,	,	PUNCT
ijassa-878	35	48	for	for	ADP
ijassa-878	35	49	br	br	NOUN
ijassa-878	35	50	=	=	PUNCT
ijassa-878	36	1	[	[	X
ijassa-878	36	2	t0	t0	NOUN
ijassa-878	36	3	,	,	PUNCT
ijassa-878	36	4	t1	t1	PROPN
ijassa-878	36	5	]	]	X
ijassa-878	36	6	,	,	PUNCT
ijassa-878	36	7	[	[	X
ijassa-878	36	8	t0,+∞	t0,+∞	NUM
ijassa-878	36	9	)	)	PUNCT
ijassa-878	36	10	,	,	PUNCT
ijassa-878	36	11	t̄	t̄	PROPN
ijassa-878	36	12	=	=	SYM
ijassa-878	36	13	t0	t0	PROPN
ijassa-878	36	14	,	,	PUNCT
ijassa-878	36	15	the	the	DET
ijassa-878	36	16	initialboundary	initialboundary	ADJ
ijassa-878	36	17	-	-	PUNCT
ijassa-878	36	18	value	value	NOUN
ijassa-878	36	19	problem	problem	NOUN
ijassa-878	36	20	becomes	become	VERB
ijassa-878	36	21	a	a	DET
ijassa-878	36	22	well	well	ADV
ijassa-878	36	23	-	-	PUNCT
ijassa-878	36	24	known	know	VERB
ijassa-878	36	25	initial	initial	ADJ
ijassa-878	36	26	problem	problem	NOUN
ijassa-878	36	27	with	with	ADP
ijassa-878	36	28	the	the	DET
ijassa-878	36	29	initial	initial	ADJ
ijassa-878	36	30	function	function	NOUN
ijassa-878	36	31	ζ(t	ζ(t	VERB
ijassa-878	36	32	)	)	PUNCT
ijassa-878	36	33	=	=	PUNCT
ijassa-878	37	1	x̄−	x̄−	PROPN
ijassa-878	37	2	∫	∫	PROPN
ijassa-878	37	3	t̄	t̄	PROPN
ijassa-878	37	4	t	t	PROPN
ijassa-878	37	5	ϕ(τ)dτ	ϕ(τ)dτ	PROPN
ijassa-878	37	6	,	,	PUNCT
ijassa-878	37	7	t	t	PROPN
ijassa-878	37	8	≤	≤	NUM
ijassa-878	37	9	t̄.	t̄.	PUNCT
ijassa-878	38	1	the	the	DET
ijassa-878	38	2	statement	statement	NOUN
ijassa-878	38	3	of	of	ADP
ijassa-878	38	4	the	the	DET
ijassa-878	38	5	initial	initial	ADJ
ijassa-878	38	6	-	-	PUNCT
ijassa-878	38	7	boundary	boundary	NOUN
ijassa-878	38	8	value	value	NOUN
ijassa-878	38	9	problem	problem	NOUN
ijassa-878	38	10	(	(	PUNCT
ijassa-878	38	11	2.1)-(2.3	2.1)-(2.3	NUM
ijassa-878	38	12	)	)	PUNCT
ijassa-878	38	13	is	be	AUX
ijassa-878	38	14	correct	correct	ADJ
ijassa-878	38	15	without	without	ADP
ijassa-878	38	16	any	any	DET
ijassa-878	38	17	restrictions	restriction	NOUN
ijassa-878	38	18	on	on	ADP
ijassa-878	38	19	the	the	DET
ijassa-878	38	20	type	type	NOUN
ijassa-878	38	21	of	of	ADP
ijassa-878	38	22	argument	argument	NOUN
ijassa-878	38	23	deviations	deviation	NOUN
ijassa-878	38	24	.	.	PUNCT
ijassa-878	39	1	definition	definition	NOUN
ijassa-878	39	2	2.1	2.1	NUM
ijassa-878	39	3	:	:	PUNCT
ijassa-878	39	4	the	the	DET
ijassa-878	39	5	solution	solution	NOUN
ijassa-878	39	6	to	to	ADP
ijassa-878	39	7	the	the	DET
ijassa-878	39	8	basic	basic	ADJ
ijassa-878	39	9	initial	initial	ADJ
ijassa-878	39	10	-	-	PUNCT
ijassa-878	39	11	boundary	boundary	NOUN
ijassa-878	39	12	value	value	NOUN
ijassa-878	39	13	problem	problem	NOUN
ijassa-878	39	14	is	be	AUX
ijassa-878	39	15	any	any	DET
ijassa-878	39	16	absolutely	absolutely	ADV
ijassa-878	39	17	continuous	continuous	ADJ
ijassa-878	39	18	solution	solution	NOUN
ijassa-878	39	19	of	of	ADP
ijassa-878	39	20	the	the	DET
ijassa-878	39	21	equation	equation	NOUN
ijassa-878	39	22	(	(	PUNCT
ijassa-878	39	23	2.1	2.1	NUM
ijassa-878	39	24	)	)	PUNCT
ijassa-878	39	25	satisfying	satisfy	VERB
ijassa-878	39	26	the	the	DET
ijassa-878	39	27	boundary	boundary	ADJ
ijassa-878	39	28	condition	condition	NOUN
ijassa-878	39	29	(	(	PUNCT
ijassa-878	39	30	2.2	2.2	NUM
ijassa-878	39	31	)	)	PUNCT
ijassa-878	39	32	and	and	CCONJ
ijassa-878	39	33	the	the	DET
ijassa-878	39	34	initial	initial	ADJ
ijassa-878	39	35	condition	condition	NOUN
ijassa-878	39	36	(	(	PUNCT
ijassa-878	39	37	2.3	2.3	NUM
ijassa-878	39	38	)	)	PUNCT
ijassa-878	39	39	.	.	PUNCT
ijassa-878	40	1	the	the	DET
ijassa-878	40	2	aim	aim	NOUN
ijassa-878	40	3	of	of	ADP
ijassa-878	40	4	the	the	DET
ijassa-878	40	5	fde	fde	PROPN
ijassa-878	40	6	research	research	NOUN
ijassa-878	40	7	is	be	AUX
ijassa-878	40	8	to	to	PART
ijassa-878	40	9	study	study	VERB
ijassa-878	40	10	the	the	DET
ijassa-878	40	11	solution	solution	NOUN
ijassa-878	40	12	space	space	NOUN
ijassa-878	40	13	of	of	ADP
ijassa-878	40	14	the	the	DET
ijassa-878	40	15	boundary	boundary	ADJ
ijassa-878	40	16	value	value	NOUN
ijassa-878	40	17	problem	problem	NOUN
ijassa-878	40	18	(	(	PUNCT
ijassa-878	40	19	2.1)-(2.2	2.1)-(2.2	NUM
ijassa-878	40	20	)	)	PUNCT
ijassa-878	40	21	for	for	ADP
ijassa-878	40	22	each	each	DET
ijassa-878	40	23	given	give	VERB
ijassa-878	40	24	boundary	boundary	ADJ
ijassa-878	40	25	function	function	NOUN
ijassa-878	40	26	ϕ	ϕ	NOUN
ijassa-878	40	27	,	,	PUNCT
ijassa-878	40	28	as	as	ADV
ijassa-878	40	29	well	well	ADV
ijassa-878	40	30	as	as	ADP
ijassa-878	40	31	to	to	PART
ijassa-878	40	32	describe	describe	VERB
ijassa-878	40	33	the	the	DET
ijassa-878	40	34	obstacles	obstacle	NOUN
ijassa-878	40	35	due	due	ADJ
ijassa-878	40	36	to	to	ADP
ijassa-878	40	37	which	which	PRON
ijassa-878	40	38	the	the	DET
ijassa-878	40	39	solutions	solution	NOUN
ijassa-878	40	40	of	of	ADP
ijassa-878	40	41	the	the	DET
ijassa-878	40	42	boundary	boundary	ADJ
ijassa-878	40	43	value	value	NOUN
ijassa-878	40	44	problem	problem	NOUN
ijassa-878	40	45	(	(	PUNCT
ijassa-878	40	46	2.1)-(2.2	2.1)-(2.2	NUM
ijassa-878	40	47	)	)	PUNCT
ijassa-878	40	48	do	do	AUX
ijassa-878	40	49	not	not	PART
ijassa-878	40	50	inherit	inherit	VERB
ijassa-878	40	51	the	the	DET
ijassa-878	40	52	properties	property	NOUN
ijassa-878	40	53	of	of	ADP
ijassa-878	40	54	solutions	solution	NOUN
ijassa-878	40	55	of	of	ADP
ijassa-878	40	56	ordinary	ordinary	ADJ
ijassa-878	40	57	differential	differential	ADJ
ijassa-878	40	58	equations	equation	NOUN
ijassa-878	40	59	.	.	PUNCT
ijassa-878	41	1	copyright	copyright	NOUN
ijassa-878	41	2	©	©	PROPN
ijassa-878	41	3	2020	2020	NUM
ijassa-878	41	4	assa	assa	NOUN
ijassa-878	41	5	.	.	PUNCT
ijassa-878	42	1	adv	adv	PROPN
ijassa-878	42	2	syst	syst	PROPN
ijassa-878	42	3	sci	sci	PROPN
ijassa-878	42	4	appl	appl	PROPN
ijassa-878	42	5	(	(	PUNCT
ijassa-878	42	6	2020	2020	NUM
ijassa-878	42	7	)	)	PUNCT
ijassa-878	42	8	58	58	NUM
ijassa-878	42	9	a.	a.	NOUN
ijassa-878	42	10	beklaryan	beklaryan	X
ijassa-878	42	11	if	if	SCONJ
ijassa-878	42	12	we	we	PRON
ijassa-878	42	13	introduce	introduce	VERB
ijassa-878	42	14	notation	notation	NOUN
ijassa-878	42	15	for	for	ADP
ijassa-878	42	16	a	a	DET
ijassa-878	42	17	fixed	fix	VERB
ijassa-878	42	18	function	function	NOUN
ijassa-878	42	19	ϕ	ϕ	PROPN
ijassa-878	42	20	(	(	PUNCT
ijassa-878	42	21	·	·	PUNCT
ijassa-878	42	22	)	)	PUNCT
ijassa-878	42	23	fϕ(t	fϕ(t	PROPN
ijassa-878	42	24	,	,	PUNCT
ijassa-878	42	25	z1	z1	NOUN
ijassa-878	42	26	,	,	PUNCT
ijassa-878	42	27	.	.	PUNCT
ijassa-878	42	28	.	.	PUNCT
ijassa-878	42	29	.	.	PUNCT
ijassa-878	43	1	,	,	PUNCT
ijassa-878	43	2	zs	zs	X
ijassa-878	43	3	)	)	PUNCT
ijassa-878	43	4	=	=	PRON
ijassa-878	43	5	{	{	PUNCT
ijassa-878	43	6	f(t	f(t	PROPN
ijassa-878	43	7	,	,	PUNCT
ijassa-878	43	8	z1	z1	NOUN
ijassa-878	43	9	,	,	PUNCT
ijassa-878	43	10	.	.	PUNCT
ijassa-878	43	11	.	.	PUNCT
ijassa-878	43	12	.	.	PUNCT
ijassa-878	44	1	,	,	PUNCT
ijassa-878	44	2	zs	zs	PROPN
ijassa-878	44	3	)	)	PUNCT
ijassa-878	44	4	,	,	PUNCT
ijassa-878	44	5	t	t	PROPN
ijassa-878	44	6	∈	∈	PROPN
ijassa-878	44	7	br	br	PROPN
ijassa-878	44	8	,	,	PUNCT
ijassa-878	44	9	ϕ(t	ϕ(t	PROPN
ijassa-878	44	10	)	)	PUNCT
ijassa-878	44	11	,	,	PUNCT
ijassa-878	44	12	t	t	PROPN
ijassa-878	44	13	/∈	/∈	PUNCT
ijassa-878	45	1	br	br	PROPN
ijassa-878	45	2	,	,	PUNCT
ijassa-878	45	3	the	the	DET
ijassa-878	45	4	boundary	boundary	ADJ
ijassa-878	45	5	value	value	NOUN
ijassa-878	45	6	problem	problem	NOUN
ijassa-878	45	7	(	(	PUNCT
ijassa-878	45	8	2.1)-(2.3	2.1)-(2.3	NUM
ijassa-878	45	9	)	)	PUNCT
ijassa-878	45	10	becomes	become	VERB
ijassa-878	45	11	a	a	DET
ijassa-878	45	12	cauchy	cauchy	ADJ
ijassa-878	45	13	problem	problem	NOUN
ijassa-878	45	14	ẋ(t	ẋ(t	NOUN
ijassa-878	45	15	)	)	PUNCT
ijassa-878	45	16	=	=	SYM
ijassa-878	45	17	fϕ(t	fϕ(t	PROPN
ijassa-878	45	18	,	,	PUNCT
ijassa-878	45	19	x(q1(t	x(q1(t	PROPN
ijassa-878	45	20	)	)	PUNCT
ijassa-878	45	21	)	)	PUNCT
ijassa-878	45	22	,	,	PUNCT
ijassa-878	45	23	.	.	PUNCT
ijassa-878	45	24	.	.	PUNCT
ijassa-878	46	1	.	.	PUNCT
ijassa-878	47	1	,	,	PUNCT
ijassa-878	47	2	x(qs(t	x(qs(t	PROPN
ijassa-878	47	3	)	)	PUNCT
ijassa-878	47	4	)	)	PUNCT
ijassa-878	47	5	)	)	PUNCT
ijassa-878	48	1	,	,	PUNCT
ijassa-878	48	2	t	t	PROPN
ijassa-878	48	3	∈	∈	PROPN
ijassa-878	48	4	r	r	NOUN
ijassa-878	48	5	(	(	PUNCT
ijassa-878	48	6	2.4	2.4	NUM
ijassa-878	48	7	)	)	PUNCT
ijassa-878	48	8	x(t̄	x(t̄	NUM
ijassa-878	48	9	)	)	PUNCT
ijassa-878	48	10	=	=	PUNCT
ijassa-878	49	1	x̄	x̄	PROPN
ijassa-878	49	2	,	,	PUNCT
ijassa-878	49	3	t̄	t̄	PROPN
ijassa-878	49	4	∈	∈	PROPN
ijassa-878	49	5	r	r	PROPN
ijassa-878	49	6	,	,	PUNCT
ijassa-878	49	7	x̄	x̄	PROPN
ijassa-878	49	8	∈	∈	PROPN
ijassa-878	49	9	rn	rn	PROPN
ijassa-878	49	10	.	.	PROPN
ijassa-878	49	11	(	(	PUNCT
ijassa-878	49	12	2.5	2.5	NUM
ijassa-878	49	13	)	)	PUNCT
ijassa-878	49	14	obviously	obviously	ADV
ijassa-878	49	15	,	,	PUNCT
ijassa-878	49	16	in	in	ADP
ijassa-878	49	17	the	the	DET
ijassa-878	49	18	case	case	NOUN
ijassa-878	49	19	br	br	NOUN
ijassa-878	49	20	=	=	SYM
ijassa-878	49	21	r	r	NOUN
ijassa-878	49	22	,	,	PUNCT
ijassa-878	49	23	the	the	DET
ijassa-878	49	24	equality	equality	NOUN
ijassa-878	49	25	fϕ	fϕ	ADP
ijassa-878	49	26	=	=	NOUN
ijassa-878	49	27	f	f	PROPN
ijassa-878	49	28	holds	hold	VERB
ijassa-878	49	29	.	.	PUNCT
ijassa-878	50	1	in	in	ADP
ijassa-878	50	2	the	the	DET
ijassa-878	50	3	study	study	NOUN
ijassa-878	50	4	of	of	ADP
ijassa-878	50	5	the	the	DET
ijassa-878	50	6	cauchy	cauchy	ADJ
ijassa-878	50	7	problem	problem	NOUN
ijassa-878	50	8	(	(	PUNCT
ijassa-878	50	9	2.4)-(2.5	2.4)-(2.5	NUM
ijassa-878	50	10	)	)	PUNCT
ijassa-878	50	11	,	,	PUNCT
ijassa-878	50	12	the	the	DET
ijassa-878	50	13	role	role	NOUN
ijassa-878	50	14	of	of	ADP
ijassa-878	50	15	the	the	DET
ijassa-878	50	16	group	group	NOUN
ijassa-878	50	17	<	<	X
ijassa-878	50	18	q1	q1	PROPN
ijassa-878	50	19	,	,	PUNCT
ijassa-878	50	20	.	.	PUNCT
ijassa-878	50	21	.	.	PUNCT
ijassa-878	50	22	.	.	PUNCT
ijassa-878	51	1	,	,	PUNCT
ijassa-878	51	2	qs	qs	PART
ijassa-878	51	3	>	>	X
ijassa-878	51	4	is	be	AUX
ijassa-878	51	5	very	very	ADV
ijassa-878	51	6	important	important	ADJ
ijassa-878	51	7	.	.	PUNCT
ijassa-878	52	1	often	often	ADV
ijassa-878	52	2	,	,	PUNCT
ijassa-878	52	3	instead	instead	ADV
ijassa-878	52	4	of	of	ADP
ijassa-878	52	5	such	such	DET
ijassa-878	52	6	a	a	DET
ijassa-878	52	7	group	group	NOUN
ijassa-878	52	8	,	,	PUNCT
ijassa-878	52	9	it	it	PRON
ijassa-878	52	10	is	be	AUX
ijassa-878	52	11	useful	useful	ADJ
ijassa-878	52	12	to	to	PART
ijassa-878	52	13	consider	consider	VERB
ijassa-878	52	14	some	some	DET
ijassa-878	52	15	wider	wide	ADJ
ijassa-878	52	16	finitely	finitely	ADV
ijassa-878	52	17	generated	generate	VERB
ijassa-878	52	18	group	group	NOUN
ijassa-878	52	19	q	q	NOUN
ijassa-878	52	20	of	of	ADP
ijassa-878	52	21	diffeomorphisms	diffeomorphism	NOUN
ijassa-878	52	22	of	of	ADP
ijassa-878	52	23	the	the	DET
ijassa-878	52	24	line	line	NOUN
ijassa-878	52	25	,	,	PUNCT
ijassa-878	52	26	that	that	ADV
ijassa-878	52	27	is	is	ADV
ijassa-878	52	28	,	,	PUNCT
ijassa-878	52	29	<	<	X
ijassa-878	52	30	q1	q1	PROPN
ijassa-878	52	31	,	,	PUNCT
ijassa-878	52	32	.	.	PUNCT
ijassa-878	52	33	.	.	PUNCT
ijassa-878	52	34	.	.	PUNCT
ijassa-878	53	1	,	,	PUNCT
ijassa-878	53	2	qs	qs	ADP
ijassa-878	53	3	>	>	X
ijassa-878	53	4	⊆	⊆	NUM
ijassa-878	53	5	q.	q.	NOUN
ijassa-878	53	6	moreover	moreover	ADV
ijassa-878	53	7	,	,	PUNCT
ijassa-878	53	8	we	we	PRON
ijassa-878	53	9	assume	assume	VERB
ijassa-878	53	10	that	that	SCONJ
ijassa-878	53	11	the	the	DET
ijassa-878	53	12	condition	condition	NOUN
ijassa-878	53	13	hq	hq	NOUN
ijassa-878	53	14	=	=	PUNCT
ijassa-878	53	15	supt∈r	supt∈r	PROPN
ijassa-878	53	16	|q(t)−	|q(t)−	PROPN
ijassa-878	53	17	t|	t|	PROPN
ijassa-878	53	18	<	<	X
ijassa-878	53	19	+	+	NOUN
ijassa-878	53	20	∞	∞	PROPN
ijassa-878	53	21	is	be	AUX
ijassa-878	53	22	satisfied	satisfied	ADJ
ijassa-878	53	23	for	for	ADP
ijassa-878	53	24	all	all	DET
ijassa-878	53	25	elements	element	NOUN
ijassa-878	53	26	q	q	NOUN
ijassa-878	53	27	of	of	ADP
ijassa-878	53	28	the	the	DET
ijassa-878	53	29	group	group	NOUN
ijassa-878	53	30	q.	q.	PROPN
ijassa-878	53	31	let	let	VERB
ijassa-878	53	32	’s	’s	NOUN
ijassa-878	53	33	formulate	formulate	VERB
ijassa-878	53	34	a	a	DET
ijassa-878	53	35	system	system	NOUN
ijassa-878	53	36	of	of	ADP
ijassa-878	53	37	restrictions	restriction	NOUN
ijassa-878	53	38	on	on	ADP
ijassa-878	53	39	the	the	DET
ijassa-878	53	40	right	right	ADJ
ijassa-878	53	41	-	-	PUNCT
ijassa-878	53	42	hand	hand	NOUN
ijassa-878	53	43	side	side	NOUN
ijassa-878	53	44	f	f	NOUN
ijassa-878	53	45	:	:	PUNCT
ijassa-878	53	46	r×	r×	NOUN
ijassa-878	53	47	rn·s	rn·s	PROPN
ijassa-878	53	48	7−→	7−→	PROPN
ijassa-878	53	49	rn	rn	NOUN
ijassa-878	53	50	of	of	ADP
ijassa-878	53	51	fdept	fdept	PROPN
ijassa-878	53	52	(	(	PUNCT
ijassa-878	53	53	2.1	2.1	NUM
ijassa-878	53	54	)	)	PUNCT
ijassa-878	53	55	,	,	PUNCT
ijassa-878	53	56	and	and	CCONJ
ijassa-878	53	57	on	on	ADP
ijassa-878	53	58	diffeomorphisms	diffeomorphisms	PROPN
ijassa-878	53	59	qj	qj	PROPN
ijassa-878	53	60	(	(	PUNCT
ijassa-878	53	61	·	·	PUNCT
ijassa-878	53	62	)	)	PUNCT
ijassa-878	53	63	,	,	PUNCT
ijassa-878	53	64	j	j	PROPN
ijassa-878	53	65	=	=	SYM
ijassa-878	53	66	1	1	NUM
ijassa-878	53	67	,	,	PUNCT
ijassa-878	53	68	.	.	PUNCT
ijassa-878	53	69	.	.	PUNCT
ijassa-878	54	1	.	.	PUNCT
ijassa-878	55	1	,	,	PUNCT
ijassa-878	55	2	s	s	X
ijassa-878	55	3	:	:	PUNCT
ijassa-878	55	4	(	(	PUNCT
ijassa-878	55	5	a	a	X
ijassa-878	55	6	)	)	PUNCT
ijassa-878	55	7	f	f	NOUN
ijassa-878	55	8	(	(	PUNCT
ijassa-878	55	9	·	·	PUNCT
ijassa-878	55	10	)	)	PUNCT
ijassa-878	55	11	∈	∈	PROPN
ijassa-878	55	12	c(0)(r×	c(0)(r×	NUM
ijassa-878	55	13	rn·s	rn·	NOUN
ijassa-878	55	14	,	,	PUNCT
ijassa-878	55	15	rn	rn	PROPN
ijassa-878	55	16	)	)	PUNCT
ijassa-878	55	17	;	;	PUNCT
ijassa-878	55	18	(	(	PUNCT
ijassa-878	55	19	b	b	X
ijassa-878	55	20	)	)	PUNCT
ijassa-878	55	21	for	for	ADP
ijassa-878	55	22	any	any	DET
ijassa-878	55	23	t	t	PROPN
ijassa-878	55	24	,	,	PUNCT
ijassa-878	55	25	zj	zj	PROPN
ijassa-878	55	26	,	,	PUNCT
ijassa-878	55	27	z̄j	z̄j	PROPN
ijassa-878	55	28	,	,	PUNCT
ijassa-878	55	29	j	j	NOUN
ijassa-878	55	30	=	=	SYM
ijassa-878	55	31	1	1	NUM
ijassa-878	55	32	,	,	PUNCT
ijassa-878	55	33	s	s	AUX
ijassa-878	55	34	,	,	PUNCT
ijassa-878	55	35	there	there	PRON
ijassa-878	55	36	is	be	VERB
ijassa-878	55	37	a	a	DET
ijassa-878	55	38	quasilinear	quasilinear	NOUN
ijassa-878	55	39	growth	growth	NOUN
ijassa-878	55	40	‖f	‖f	PRON
ijassa-878	55	41	(	(	PUNCT
ijassa-878	55	42	t	t	PROPN
ijassa-878	55	43	,	,	PUNCT
ijassa-878	55	44	z1	z1	PROPN
ijassa-878	55	45	,	,	PUNCT
ijassa-878	55	46	.	.	PUNCT
ijassa-878	55	47	.	.	PUNCT
ijassa-878	55	48	.	.	PUNCT
ijassa-878	56	1	,	,	PUNCT
ijassa-878	56	2	zs	zs	PROPN
ijassa-878	56	3	)	)	PUNCT
ijassa-878	56	4	‖rn	‖rn	NUM
ijassa-878	56	5	≤m0(t	≤m0(t	PROPN
ijassa-878	56	6	)	)	PUNCT
ijassa-878	56	7	+	+	NOUN
ijassa-878	56	8	m1	m1	NOUN
ijassa-878	56	9	s∑	s∑	PROPN
ijassa-878	56	10	j=1	j=1	PROPN
ijassa-878	56	11	‖zj‖rn	‖zj‖rn	PROPN
ijassa-878	56	12	,	,	PUNCT
ijassa-878	56	13	m0	m0	PROPN
ijassa-878	56	14	(	(	PUNCT
ijassa-878	56	15	·	·	PUNCT
ijassa-878	56	16	)	)	PUNCT
ijassa-878	56	17	∈	∈	PROPN
ijassa-878	56	18	c(0)(r	c(0)(r	NOUN
ijassa-878	56	19	,	,	PUNCT
ijassa-878	56	20	r	r	NOUN
ijassa-878	56	21	)	)	PUNCT
ijassa-878	56	22	,	,	PUNCT
ijassa-878	56	23	and	and	CCONJ
ijassa-878	56	24	a	a	DET
ijassa-878	56	25	lipschitz	lipschitz	NOUN
ijassa-878	56	26	condition	condition	NOUN
ijassa-878	56	27	‖f	‖f	ADP
ijassa-878	56	28	(	(	PUNCT
ijassa-878	56	29	t	t	PROPN
ijassa-878	56	30	,	,	PUNCT
ijassa-878	56	31	z1	z1	PROPN
ijassa-878	56	32	,	,	PUNCT
ijassa-878	56	33	.	.	PUNCT
ijassa-878	56	34	.	.	PUNCT
ijassa-878	56	35	.	.	PUNCT
ijassa-878	57	1	,	,	PUNCT
ijassa-878	57	2	zs)−	zs)−	NUM
ijassa-878	57	3	f	f	X
ijassa-878	57	4	(	(	PUNCT
ijassa-878	57	5	t	t	PROPN
ijassa-878	57	6	,	,	PUNCT
ijassa-878	57	7	z̄1	z̄1	NUM
ijassa-878	57	8	,	,	PUNCT
ijassa-878	57	9	.	.	PUNCT
ijassa-878	57	10	.	.	PUNCT
ijassa-878	57	11	.	.	PUNCT
ijassa-878	58	1	,	,	PUNCT
ijassa-878	58	2	z̄s	z̄s	NOUN
ijassa-878	58	3	)	)	PUNCT
ijassa-878	58	4	‖rn	‖rn	PROPN
ijassa-878	58	5	≤	≤	NUM
ijassa-878	58	6	lf	lf	ADP
ijassa-878	59	1	s∑	s∑	PROPN
ijassa-878	59	2	j=1	j=1	PROPN
ijassa-878	59	3	‖zj	‖zj	PUNCT
ijassa-878	59	4	−	−	PROPN
ijassa-878	59	5	z̄j‖rn	z̄j‖rn	PROPN
ijassa-878	59	6	;	;	PUNCT
ijassa-878	59	7	(	(	PUNCT
ijassa-878	59	8	c	c	X
ijassa-878	59	9	)	)	PUNCT
ijassa-878	59	10	there	there	PRON
ijassa-878	59	11	exists	exist	VERB
ijassa-878	59	12	µ∗	µ∗	PROPN
ijassa-878	59	13	∈	∈	PROPN
ijassa-878	59	14	r+	r+	NOUN
ijassa-878	59	15	such	such	ADJ
ijassa-878	59	16	that	that	SCONJ
ijassa-878	59	17	m0	m0	NOUN
ijassa-878	59	18	(	(	PUNCT
ijassa-878	59	19	·	·	PUNCT
ijassa-878	59	20	)	)	PUNCT
ijassa-878	59	21	∈	∈	PROPN
ijassa-878	59	22	lnµ∗c(0)(r	lnµ∗c(0)(r	PROPN
ijassa-878	59	23	)	)	PUNCT
ijassa-878	59	24	;	;	PUNCT
ijassa-878	59	25	(	(	PUNCT
ijassa-878	59	26	d	d	X
ijassa-878	59	27	)	)	PUNCT
ijassa-878	59	28	the	the	DET
ijassa-878	59	29	values	value	NOUN
ijassa-878	59	30	hqj	hqj	VERB
ijassa-878	60	1	=	=	NOUN
ijassa-878	60	2	sup	sup	NOUN
ijassa-878	60	3	t∈r	t∈r	PROPN
ijassa-878	60	4	|t−	|t−	PROPN
ijassa-878	60	5	qj(t)|	qj(t)|	PROPN
ijassa-878	60	6	,	,	PUNCT
ijassa-878	60	7	j	j	PROPN
ijassa-878	60	8	=	=	SYM
ijassa-878	60	9	1	1	NUM
ijassa-878	60	10	,	,	PUNCT
ijassa-878	60	11	.	.	PUNCT
ijassa-878	60	12	.	.	PUNCT
ijassa-878	60	13	.	.	PUNCT
ijassa-878	61	1	,	,	PUNCT
ijassa-878	61	2	s	s	X
ijassa-878	61	3	,	,	PUNCT
ijassa-878	61	4	are	be	AUX
ijassa-878	61	5	finite	finite	ADJ
ijassa-878	61	6	;	;	PUNCT
ijassa-878	61	7	(	(	PUNCT
ijassa-878	61	8	e	e	NOUN
ijassa-878	61	9	)	)	PUNCT
ijassa-878	61	10	with	with	ADP
ijassa-878	61	11	the	the	DET
ijassa-878	61	12	constant	constant	ADJ
ijassa-878	61	13	µ∗	µ∗	PROPN
ijassa-878	61	14	∈	∈	PROPN
ijassa-878	61	15	r+	r+	NOUN
ijassa-878	61	16	from	from	ADP
ijassa-878	61	17	condition	condition	NOUN
ijassa-878	61	18	(	(	PUNCT
ijassa-878	61	19	c	c	X
ijassa-878	61	20	)	)	PUNCT
ijassa-878	61	21	the	the	DET
ijassa-878	61	22	family	family	NOUN
ijassa-878	61	23	of	of	ADP
ijassa-878	61	24	functions	function	NOUN
ijassa-878	61	25	f̃q	f̃q	VERB
ijassa-878	61	26	,	,	PUNCT
ijassa-878	61	27	z1,	z1,	NOUN
ijassa-878	61	28	...	...	PUNCT
ijassa-878	61	29	,zs(t	,zs(t	PUNCT
ijassa-878	61	30	)	)	PUNCT
ijassa-878	62	1	=	=	SYM
ijassa-878	62	2	f(q(t	f(q(t	NOUN
ijassa-878	62	3	)	)	PUNCT
ijassa-878	62	4	,	,	PUNCT
ijassa-878	62	5	z1	z1	PROPN
ijassa-878	62	6	,	,	PUNCT
ijassa-878	62	7	.	.	PUNCT
ijassa-878	62	8	.	.	PUNCT
ijassa-878	62	9	.	.	PUNCT
ijassa-878	63	1	,	,	PUNCT
ijassa-878	63	2	zs)(µ	zs)(µ	PROPN
ijassa-878	63	3	?	?	PUNCT
ijassa-878	63	4	)	)	PUNCT
ijassa-878	64	1	hq	hq	NOUN
ijassa-878	64	2	,	,	PUNCT
ijassa-878	64	3	q	q	PROPN
ijassa-878	64	4	∈	∈	PROPN
ijassa-878	64	5	q	q	NOUN
ijassa-878	64	6	,	,	PUNCT
ijassa-878	64	7	z1	z1	PROPN
ijassa-878	64	8	,	,	PUNCT
ijassa-878	64	9	.	.	PUNCT
ijassa-878	64	10	.	.	PUNCT
ijassa-878	64	11	.	.	PUNCT
ijassa-878	65	1	,	,	PUNCT
ijassa-878	65	2	zs	zs	PROPN
ijassa-878	65	3	∈	∈	PROPN
ijassa-878	65	4	rn	rn	PROPN
ijassa-878	65	5	,	,	PUNCT
ijassa-878	65	6	is	be	AUX
ijassa-878	65	7	equicontinuous	equicontinuous	ADJ
ijassa-878	65	8	on	on	ADP
ijassa-878	65	9	any	any	DET
ijassa-878	65	10	finite	finite	ADJ
ijassa-878	65	11	interval	interval	NOUN
ijassa-878	65	12	.	.	PUNCT
ijassa-878	66	1	the	the	DET
ijassa-878	66	2	continuity	continuity	NOUN
ijassa-878	66	3	condition	condition	NOUN
ijassa-878	66	4	,	,	PUNCT
ijassa-878	66	5	growth	growth	NOUN
ijassa-878	66	6	conditions	condition	NOUN
ijassa-878	66	7	with	with	ADP
ijassa-878	66	8	respect	respect	NOUN
ijassa-878	66	9	to	to	ADP
ijassa-878	66	10	the	the	DET
ijassa-878	66	11	phase	phase	NOUN
ijassa-878	66	12	variables	variable	NOUN
ijassa-878	66	13	and	and	CCONJ
ijassa-878	66	14	time	time	NOUN
ijassa-878	66	15	variable	variable	NOUN
ijassa-878	66	16	,	,	PUNCT
ijassa-878	66	17	and	and	CCONJ
ijassa-878	66	18	the	the	DET
ijassa-878	66	19	lipschitz	lipschitz	NOUN
ijassa-878	66	20	condition	condition	NOUN
ijassa-878	66	21	(	(	PUNCT
ijassa-878	66	22	conditions	condition	NOUN
ijassa-878	66	23	(	(	PUNCT
ijassa-878	66	24	a)−	a)−	PROPN
ijassa-878	66	25	(	(	PUNCT
ijassa-878	66	26	b	b	NOUN
ijassa-878	66	27	)	)	PUNCT
ijassa-878	66	28	)	)	PUNCT
ijassa-878	66	29	are	be	AUX
ijassa-878	66	30	standard	standard	ADJ
ijassa-878	66	31	in	in	ADP
ijassa-878	66	32	the	the	DET
ijassa-878	66	33	theory	theory	NOUN
ijassa-878	66	34	of	of	ADP
ijassa-878	66	35	ordinary	ordinary	ADJ
ijassa-878	66	36	differential	differential	ADJ
ijassa-878	66	37	equations	equation	NOUN
ijassa-878	66	38	.	.	PUNCT
ijassa-878	67	1	in	in	ADP
ijassa-878	67	2	fact	fact	NOUN
ijassa-878	67	3	,	,	PUNCT
ijassa-878	67	4	in	in	ADP
ijassa-878	67	5	item	item	NOUN
ijassa-878	67	6	(	(	PUNCT
ijassa-878	67	7	b	b	NOUN
ijassa-878	67	8	)	)	PUNCT
ijassa-878	67	9	,	,	PUNCT
ijassa-878	67	10	the	the	DET
ijassa-878	67	11	first	first	ADJ
ijassa-878	67	12	inequality	inequality	NOUN
ijassa-878	67	13	in	in	ADP
ijassa-878	67	14	the	the	DET
ijassa-878	67	15	form	form	NOUN
ijassa-878	67	16	of	of	ADP
ijassa-878	67	17	the	the	DET
ijassa-878	67	18	growth	growth	NOUN
ijassa-878	67	19	condition	condition	NOUN
ijassa-878	67	20	with	with	ADP
ijassa-878	67	21	respect	respect	NOUN
ijassa-878	67	22	to	to	ADP
ijassa-878	67	23	the	the	DET
ijassa-878	67	24	phase	phase	NOUN
ijassa-878	67	25	variables	variable	NOUN
ijassa-878	67	26	and	and	CCONJ
ijassa-878	67	27	time	time	NOUN
ijassa-878	67	28	variable	variable	NOUN
ijassa-878	67	29	is	be	AUX
ijassa-878	67	30	a	a	DET
ijassa-878	67	31	consequence	consequence	NOUN
ijassa-878	67	32	of	of	ADP
ijassa-878	67	33	the	the	DET
ijassa-878	67	34	second	second	ADJ
ijassa-878	67	35	condition	condition	NOUN
ijassa-878	67	36	in	in	ADP
ijassa-878	67	37	the	the	DET
ijassa-878	67	38	form	form	NOUN
ijassa-878	67	39	of	of	ADP
ijassa-878	67	40	the	the	DET
ijassa-878	67	41	lipschitz	lipschitz	NOUN
ijassa-878	67	42	condition	condition	NOUN
ijassa-878	67	43	.	.	PUNCT
ijassa-878	68	1	under	under	ADP
ijassa-878	68	2	the	the	DET
ijassa-878	68	3	lipschitz	lipschitz	NOUN
ijassa-878	68	4	constant	constant	ADJ
ijassa-878	68	5	lf	lf	NOUN
ijassa-878	68	6	,	,	PUNCT
ijassa-878	68	7	the	the	DET
ijassa-878	68	8	minimum	minimum	ADJ
ijassa-878	68	9	value	value	NOUN
ijassa-878	68	10	among	among	ADP
ijassa-878	68	11	the	the	DET
ijassa-878	68	12	possible	possible	ADJ
ijassa-878	68	13	values	value	NOUN
ijassa-878	68	14	of	of	ADP
ijassa-878	68	15	these	these	DET
ijassa-878	68	16	constants	constant	NOUN
ijassa-878	68	17	should	should	AUX
ijassa-878	68	18	be	be	AUX
ijassa-878	68	19	understood	understand	VERB
ijassa-878	68	20	.	.	PUNCT
ijassa-878	69	1	accordingly	accordingly	ADV
ijassa-878	69	2	,	,	PUNCT
ijassa-878	69	3	we	we	PRON
ijassa-878	69	4	can	can	AUX
ijassa-878	69	5	assume	assume	VERB
ijassa-878	69	6	that	that	SCONJ
ijassa-878	69	7	m1	m1	PROPN
ijassa-878	69	8	=	=	PUNCT
ijassa-878	69	9	lf	lf	INTJ
ijassa-878	69	10	.	.	PUNCT
ijassa-878	70	1	moreover	moreover	ADV
ijassa-878	70	2	,	,	PUNCT
ijassa-878	70	3	we	we	PRON
ijassa-878	70	4	wrote	write	VERB
ijassa-878	70	5	the	the	DET
ijassa-878	70	6	first	first	ADJ
ijassa-878	70	7	inequality	inequality	NOUN
ijassa-878	70	8	out	out	ADP
ijassa-878	70	9	separately	separately	ADV
ijassa-878	70	10	in	in	ADP
ijassa-878	70	11	order	order	NOUN
ijassa-878	70	12	to	to	PART
ijassa-878	70	13	formulate	formulate	VERB
ijassa-878	70	14	condition	condition	NOUN
ijassa-878	70	15	(	(	PUNCT
ijassa-878	70	16	c	c	NOUN
ijassa-878	70	17	)	)	PUNCT
ijassa-878	70	18	for	for	ADP
ijassa-878	70	19	functionm0	functionm0	ADJ
ijassa-878	70	20	(	(	PUNCT
ijassa-878	70	21	·	·	PUNCT
ijassa-878	70	22	)	)	PUNCT
ijassa-878	70	23	.	.	PUNCT
ijassa-878	71	1	condition	condition	NOUN
ijassa-878	71	2	(	(	PUNCT
ijassa-878	71	3	c	c	NOUN
ijassa-878	71	4	)	)	PUNCT
ijassa-878	71	5	for	for	ADP
ijassa-878	71	6	function	function	NOUN
ijassa-878	71	7	f	f	PROPN
ijassa-878	71	8	is	be	AUX
ijassa-878	71	9	related	relate	VERB
ijassa-878	71	10	to	to	ADP
ijassa-878	71	11	the	the	DET
ijassa-878	71	12	study	study	NOUN
ijassa-878	71	13	of	of	ADP
ijassa-878	71	14	solutions	solution	NOUN
ijassa-878	71	15	on	on	ADP
ijassa-878	71	16	the	the	DET
ijassa-878	71	17	half	half	ADJ
ijassa-878	71	18	-	-	PUNCT
ijassa-878	71	19	line	line	NOUN
ijassa-878	71	20	and	and	CCONJ
ijassa-878	71	21	line	line	NOUN
ijassa-878	71	22	,	,	PUNCT
ijassa-878	71	23	which	which	PRON
ijassa-878	71	24	requires	require	VERB
ijassa-878	71	25	certain	certain	ADJ
ijassa-878	71	26	restrictions	restriction	NOUN
ijassa-878	71	27	copyright	copyright	NOUN
ijassa-878	71	28	©	©	PROPN
ijassa-878	71	29	2020	2020	NUM
ijassa-878	71	30	assa	assa	NOUN
ijassa-878	71	31	.	.	PUNCT
ijassa-878	72	1	adv	adv	PROPN
ijassa-878	72	2	syst	syst	PROPN
ijassa-878	72	3	sci	sci	PROPN
ijassa-878	72	4	appl	appl	PROPN
ijassa-878	72	5	(	(	PUNCT
ijassa-878	72	6	2020	2020	NUM
ijassa-878	72	7	)	)	PUNCT
ijassa-878	72	8	numerical	numerical	ADJ
ijassa-878	72	9	methods	method	NOUN
ijassa-878	72	10	for	for	ADP
ijassa-878	72	11	functional	functional	ADJ
ijassa-878	72	12	differential	differential	ADJ
ijassa-878	72	13	equations	equation	NOUN
ijassa-878	72	14	59	59	NUM
ijassa-878	72	15	on	on	ADP
ijassa-878	72	16	the	the	DET
ijassa-878	72	17	time	time	NOUN
ijassa-878	72	18	growth	growth	NOUN
ijassa-878	72	19	of	of	ADP
ijassa-878	72	20	the	the	DET
ijassa-878	72	21	right	right	ADJ
ijassa-878	72	22	-	-	PUNCT
ijassa-878	72	23	hand	hand	NOUN
ijassa-878	72	24	side	side	NOUN
ijassa-878	72	25	.	.	PUNCT
ijassa-878	73	1	it	it	PRON
ijassa-878	73	2	should	should	AUX
ijassa-878	73	3	be	be	AUX
ijassa-878	73	4	noted	note	VERB
ijassa-878	73	5	that	that	SCONJ
ijassa-878	73	6	we	we	PRON
ijassa-878	73	7	can	can	AUX
ijassa-878	73	8	always	always	ADV
ijassa-878	73	9	satisfy	satisfy	VERB
ijassa-878	73	10	condition	condition	NOUN
ijassa-878	73	11	(	(	PUNCT
ijassa-878	73	12	d	d	NOUN
ijassa-878	73	13	)	)	PUNCT
ijassa-878	73	14	by	by	ADP
ijassa-878	73	15	making	make	VERB
ijassa-878	73	16	a	a	DET
ijassa-878	73	17	time	time	NOUN
ijassa-878	73	18	change	change	NOUN
ijassa-878	73	19	,	,	PUNCT
ijassa-878	73	20	but	but	CCONJ
ijassa-878	73	21	we	we	PRON
ijassa-878	73	22	may	may	AUX
ijassa-878	73	23	break	break	VERB
ijassa-878	73	24	condition	condition	NOUN
ijassa-878	73	25	(	(	PUNCT
ijassa-878	73	26	c	c	NOUN
ijassa-878	73	27	)	)	PUNCT
ijassa-878	73	28	.	.	PUNCT
ijassa-878	74	1	the	the	DET
ijassa-878	74	2	last	last	ADJ
ijassa-878	74	3	condition	condition	NOUN
ijassa-878	74	4	(	(	PUNCT
ijassa-878	74	5	e	e	NOUN
ijassa-878	74	6	)	)	PUNCT
ijassa-878	74	7	is	be	AUX
ijassa-878	74	8	necessary	necessary	ADJ
ijassa-878	74	9	for	for	ADP
ijassa-878	74	10	the	the	DET
ijassa-878	74	11	right	right	ADJ
ijassa-878	74	12	-	-	PUNCT
ijassa-878	74	13	hand	hand	NOUN
ijassa-878	74	14	side	side	NOUN
ijassa-878	74	15	of	of	ADP
ijassa-878	74	16	the	the	DET
ijassa-878	74	17	induced	induce	VERB
ijassa-878	74	18	infinite	infinite	ADJ
ijassa-878	74	19	-	-	PUNCT
ijassa-878	74	20	dimensional	dimensional	ADJ
ijassa-878	74	21	ordinary	ordinary	ADJ
ijassa-878	74	22	differential	differential	ADJ
ijassa-878	74	23	equation	equation	NOUN
ijassa-878	74	24	,	,	PUNCT
ijassa-878	74	25	with	with	ADP
ijassa-878	74	26	the	the	DET
ijassa-878	74	27	phase	phase	NOUN
ijassa-878	74	28	space	space	NOUN
ijassa-878	74	29	in	in	ADP
ijassa-878	74	30	a	a	DET
ijassa-878	74	31	suitable	suitable	ADJ
ijassa-878	74	32	banach	banach	NOUN
ijassa-878	74	33	space	space	NOUN
ijassa-878	74	34	,	,	PUNCT
ijassa-878	74	35	to	to	PART
ijassa-878	74	36	easily	easily	ADV
ijassa-878	74	37	establish	establish	VERB
ijassa-878	74	38	the	the	DET
ijassa-878	74	39	fact	fact	NOUN
ijassa-878	74	40	of	of	ADP
ijassa-878	74	41	its	its	PRON
ijassa-878	74	42	bochner	bochner	NOUN
ijassa-878	74	43	integrability	integrability	NOUN
ijassa-878	74	44	.	.	PUNCT
ijassa-878	75	1	in	in	ADP
ijassa-878	75	2	fact	fact	NOUN
ijassa-878	75	3	,	,	PUNCT
ijassa-878	75	4	condition	condition	NOUN
ijassa-878	75	5	(	(	PUNCT
ijassa-878	75	6	e	e	NOUN
ijassa-878	75	7	)	)	PUNCT
ijassa-878	75	8	can	can	AUX
ijassa-878	75	9	be	be	AUX
ijassa-878	75	10	removed	remove	VERB
ijassa-878	75	11	,	,	PUNCT
ijassa-878	75	12	but	but	CCONJ
ijassa-878	75	13	this	this	PRON
ijassa-878	75	14	leads	lead	VERB
ijassa-878	75	15	to	to	ADP
ijassa-878	75	16	further	further	ADJ
ijassa-878	75	17	technical	technical	ADJ
ijassa-878	75	18	complications	complication	NOUN
ijassa-878	75	19	,	,	PUNCT
ijassa-878	75	20	as	as	SCONJ
ijassa-878	75	21	the	the	DET
ijassa-878	75	22	right	right	ADJ
ijassa-878	75	23	-	-	PUNCT
ijassa-878	75	24	hand	hand	NOUN
ijassa-878	75	25	side	side	NOUN
ijassa-878	75	26	of	of	ADP
ijassa-878	75	27	the	the	DET
ijassa-878	75	28	induced	induce	VERB
ijassa-878	75	29	infinite	infinite	ADJ
ijassa-878	75	30	-	-	PUNCT
ijassa-878	75	31	dimensional	dimensional	ADJ
ijassa-878	75	32	ordinary	ordinary	ADJ
ijassa-878	75	33	differential	differential	ADJ
ijassa-878	75	34	equation	equation	NOUN
ijassa-878	75	35	will	will	AUX
ijassa-878	75	36	only	only	ADV
ijassa-878	75	37	be	be	AUX
ijassa-878	75	38	measurable	measurable	ADJ
ijassa-878	75	39	,	,	PUNCT
ijassa-878	75	40	and	and	CCONJ
ijassa-878	75	41	it	it	PRON
ijassa-878	75	42	will	will	AUX
ijassa-878	75	43	be	be	AUX
ijassa-878	75	44	necessary	necessary	ADJ
ijassa-878	75	45	to	to	PART
ijassa-878	75	46	establish	establish	VERB
ijassa-878	75	47	the	the	DET
ijassa-878	75	48	fact	fact	NOUN
ijassa-878	75	49	of	of	ADP
ijassa-878	75	50	its	its	PRON
ijassa-878	75	51	bochner	bochner	NOUN
ijassa-878	75	52	integrability	integrability	NOUN
ijassa-878	76	1	[	[	X
ijassa-878	76	2	24	24	NUM
ijassa-878	76	3	]	]	PUNCT
ijassa-878	76	4	.	.	PUNCT
ijassa-878	77	1	the	the	DET
ijassa-878	77	2	right	right	ADJ
ijassa-878	77	3	-	-	PUNCT
ijassa-878	77	4	hand	hand	NOUN
ijassa-878	77	5	side	side	NOUN
ijassa-878	77	6	f	f	PROPN
ijassa-878	77	7	(	(	PUNCT
ijassa-878	77	8	·	·	PUNCT
ijassa-878	77	9	)	)	PUNCT
ijassa-878	77	10	of	of	ADP
ijassa-878	77	11	fdept	fdept	PROPN
ijassa-878	77	12	will	will	AUX
ijassa-878	77	13	be	be	AUX
ijassa-878	77	14	considered	consider	VERB
ijassa-878	77	15	as	as	ADP
ijassa-878	77	16	an	an	DET
ijassa-878	77	17	element	element	NOUN
ijassa-878	77	18	of	of	ADP
ijassa-878	77	19	the	the	DET
ijassa-878	77	20	banach	banach	NOUN
ijassa-878	77	21	space	space	NOUN
ijassa-878	77	22	vµ∗(r×	vµ∗(r×	PROPN
ijassa-878	77	23	rns	rns	PROPN
ijassa-878	77	24	,	,	PUNCT
ijassa-878	77	25	rn	rn	PROPN
ijassa-878	77	26	)	)	PUNCT
ijassa-878	77	27	with	with	ADP
ijassa-878	77	28	lipschitz	lipschitz	NOUN
ijassa-878	77	29	norm	norm	NOUN
ijassa-878	77	30	vµ∗(r×	vµ∗(r×	PROPN
ijassa-878	77	31	rns	rns	PROPN
ijassa-878	77	32	,	,	PUNCT
ijassa-878	77	33	rn	rn	PROPN
ijassa-878	77	34	)	)	PUNCT
ijassa-878	77	35	=	=	PRON
ijassa-878	77	36	{	{	PUNCT
ijassa-878	77	37	f	f	X
ijassa-878	77	38	(	(	PUNCT
ijassa-878	77	39	·	·	PUNCT
ijassa-878	77	40	)	)	PUNCT
ijassa-878	77	41	:	:	PUNCT
ijassa-878	78	1	f	f	X
ijassa-878	78	2	(	(	PUNCT
ijassa-878	78	3	·	·	PUNCT
ijassa-878	78	4	)	)	PUNCT
ijassa-878	78	5	satisfies	satisfy	VERB
ijassa-878	78	6	the	the	DET
ijassa-878	78	7	conditions	condition	NOUN
ijassa-878	78	8	(	(	PUNCT
ijassa-878	78	9	a)-(d	a)-(d	NOUN
ijassa-878	78	10	)	)	PUNCT
ijassa-878	78	11	}	}	PUNCT
ijassa-878	78	12	,	,	PUNCT
ijassa-878	78	13	‖f(·)‖lip	‖f(·)‖lip	PUNCT
ijassa-878	79	1	=	=	PUNCT
ijassa-878	79	2	sup	sup	NOUN
ijassa-878	79	3	t∈r	t∈r	NOUN
ijassa-878	79	4	‖f(t	‖f(t	NOUN
ijassa-878	79	5	,	,	PUNCT
ijassa-878	79	6	0	0	NUM
ijassa-878	79	7	,	,	PUNCT
ijassa-878	79	8	.	.	PUNCT
ijassa-878	79	9	.	.	PUNCT
ijassa-878	79	10	.	.	PUNCT
ijassa-878	80	1	,	,	PUNCT
ijassa-878	80	2	0)(µ∗)|t|‖rn	0)(µ∗)|t|‖rn	NOUN
ijassa-878	81	1	+	+	CCONJ
ijassa-878	81	2	+	+	NUM
ijassa-878	81	3	sup	sup	PROPN
ijassa-878	81	4	(	(	PUNCT
ijassa-878	81	5	t	t	NOUN
ijassa-878	81	6	,	,	PUNCT
ijassa-878	81	7	z1,	z1,	NOUN
ijassa-878	81	8	...	...	SYM
ijassa-878	81	9	,zs	,zs	PUNCT
ijassa-878	81	10	,	,	PUNCT
ijassa-878	81	11	z̄1,	z̄1,	PROPN
ijassa-878	81	12	...	...	PUNCT
ijassa-878	81	13	,z̄s)∈r1	,z̄s)∈r1	PUNCT
ijassa-878	81	14	+	+	NOUN
ijassa-878	81	15	2ns	2ns	ADJ
ijassa-878	81	16	‖f(t	‖f(t	NOUN
ijassa-878	81	17	,	,	PUNCT
ijassa-878	81	18	z1	z1	NOUN
ijassa-878	81	19	,	,	PUNCT
ijassa-878	81	20	.	.	PUNCT
ijassa-878	81	21	.	.	PUNCT
ijassa-878	81	22	.	.	PUNCT
ijassa-878	82	1	,	,	PUNCT
ijassa-878	82	2	zs)−	zs)−	NUM
ijassa-878	82	3	f(t	f(t	NOUN
ijassa-878	82	4	,	,	PUNCT
ijassa-878	82	5	z̄1	z̄1	NUM
ijassa-878	82	6	,	,	PUNCT
ijassa-878	82	7	.	.	PUNCT
ijassa-878	82	8	.	.	PUNCT
ijassa-878	82	9	.	.	PUNCT
ijassa-878	83	1	,	,	PUNCT
ijassa-878	84	1	z̄s)‖rn∑s	z̄s)‖rn∑s	PUNCT
ijassa-878	84	2	j=1	j=1	PROPN
ijassa-878	85	1	‖zj	‖zj	PUNCT
ijassa-878	86	1	−	−	NOUN
ijassa-878	86	2	z̄j‖rn	z̄j‖rn	PROPN
ijassa-878	86	3	,	,	PUNCT
ijassa-878	86	4	where	where	SCONJ
ijassa-878	86	5	the	the	DET
ijassa-878	86	6	parameter	parameter	NOUN
ijassa-878	86	7	µ∗	µ∗	PROPN
ijassa-878	86	8	∈	∈	PROPN
ijassa-878	86	9	r+	r+	PUNCT
ijassa-878	86	10	coincides	coincide	VERB
ijassa-878	86	11	with	with	ADP
ijassa-878	86	12	the	the	DET
ijassa-878	86	13	corresponding	correspond	VERB
ijassa-878	86	14	constant	constant	NOUN
ijassa-878	86	15	from	from	ADP
ijassa-878	86	16	the	the	DET
ijassa-878	86	17	condition	condition	NOUN
ijassa-878	86	18	(	(	PUNCT
ijassa-878	86	19	c	c	NOUN
ijassa-878	86	20	)	)	PUNCT
ijassa-878	86	21	.	.	PUNCT
ijassa-878	87	1	obviously	obviously	ADV
ijassa-878	87	2	,	,	PUNCT
ijassa-878	87	3	for	for	ADP
ijassa-878	87	4	the	the	DET
ijassa-878	87	5	function	function	NOUN
ijassa-878	87	6	f	f	X
ijassa-878	87	7	(	(	PUNCT
ijassa-878	87	8	·	·	PUNCT
ijassa-878	87	9	)	)	PUNCT
ijassa-878	87	10	∈	∈	PROPN
ijassa-878	87	11	vµ∗(r×	vµ∗(r×	PROPN
ijassa-878	87	12	rns	rns	PROPN
ijassa-878	87	13	,	,	PUNCT
ijassa-878	87	14	rn	rn	PROPN
ijassa-878	87	15	)	)	PUNCT
ijassa-878	87	16	the	the	DET
ijassa-878	87	17	smallest	small	ADJ
ijassa-878	87	18	value	value	NOUN
ijassa-878	87	19	of	of	ADP
ijassa-878	87	20	the	the	DET
ijassa-878	87	21	constant	constant	ADJ
ijassa-878	87	22	lf	lf	NOUN
ijassa-878	87	23	from	from	ADP
ijassa-878	87	24	the	the	DET
ijassa-878	87	25	lipschitz	lipschitz	NOUN
ijassa-878	87	26	condition	condition	NOUN
ijassa-878	87	27	(	(	PUNCT
ijassa-878	87	28	the	the	DET
ijassa-878	87	29	condition	condition	NOUN
ijassa-878	87	30	(	(	PUNCT
ijassa-878	87	31	b	b	NOUN
ijassa-878	87	32	)	)	PUNCT
ijassa-878	87	33	)	)	PUNCT
ijassa-878	87	34	coincides	coincide	VERB
ijassa-878	87	35	with	with	ADP
ijassa-878	87	36	the	the	DET
ijassa-878	87	37	value	value	NOUN
ijassa-878	87	38	of	of	ADP
ijassa-878	87	39	the	the	DET
ijassa-878	87	40	second	second	ADJ
ijassa-878	87	41	summand	summand	NOUN
ijassa-878	87	42	in	in	ADP
ijassa-878	87	43	the	the	DET
ijassa-878	87	44	definition	definition	NOUN
ijassa-878	87	45	of	of	ADP
ijassa-878	87	46	the	the	DET
ijassa-878	87	47	norm	norm	NOUN
ijassa-878	87	48	f	f	X
ijassa-878	87	49	(	(	PUNCT
ijassa-878	87	50	·	·	PUNCT
ijassa-878	87	51	)	)	PUNCT
ijassa-878	87	52	.	.	PUNCT
ijassa-878	88	1	in	in	ADP
ijassa-878	88	2	what	what	PRON
ijassa-878	88	3	follows	follow	VERB
ijassa-878	88	4	,	,	PUNCT
ijassa-878	88	5	speaking	speak	VERB
ijassa-878	88	6	of	of	ADP
ijassa-878	88	7	the	the	DET
ijassa-878	88	8	lipschitz	lipschitz	NOUN
ijassa-878	88	9	condition	condition	NOUN
ijassa-878	88	10	,	,	PUNCT
ijassa-878	88	11	by	by	ADP
ijassa-878	88	12	the	the	DET
ijassa-878	88	13	constant	constant	ADJ
ijassa-878	88	14	lf	lf	INTJ
ijassa-878	88	15	we	we	PRON
ijassa-878	88	16	mean	mean	VERB
ijassa-878	88	17	exactly	exactly	ADV
ijassa-878	88	18	its	its	PRON
ijassa-878	88	19	smallest	small	ADJ
ijassa-878	88	20	value	value	NOUN
ijassa-878	88	21	.	.	PUNCT
ijassa-878	89	1	the	the	DET
ijassa-878	89	2	right	right	ADJ
ijassa-878	89	3	-	-	PUNCT
ijassa-878	89	4	hand	hand	NOUN
ijassa-878	89	5	side	side	NOUN
ijassa-878	89	6	of	of	ADP
ijassa-878	89	7	the	the	DET
ijassa-878	89	8	fdept	fdept	NOUN
ijassa-878	89	9	(	(	PUNCT
ijassa-878	89	10	2.1	2.1	NUM
ijassa-878	89	11	)	)	PUNCT
ijassa-878	89	12	uniquely	uniquely	ADV
ijassa-878	89	13	defines	define	VERB
ijassa-878	89	14	a	a	DET
ijassa-878	89	15	pair	pair	NOUN
ijassa-878	89	16	(	(	PUNCT
ijassa-878	89	17	f	f	X
ijassa-878	89	18	(	(	PUNCT
ijassa-878	89	19	·	·	PUNCT
ijassa-878	89	20	)	)	PUNCT
ijassa-878	89	21	,	,	PUNCT
ijassa-878	89	22	h	h	NOUN
ijassa-878	89	23	)	)	PUNCT
ijassa-878	89	24	,	,	PUNCT
ijassa-878	89	25	where	where	SCONJ
ijassa-878	89	26	f	f	X
ijassa-878	89	27	(	(	PUNCT
ijassa-878	89	28	·	·	PUNCT
ijassa-878	89	29	)	)	PUNCT
ijassa-878	89	30	is	be	AUX
ijassa-878	89	31	an	an	DET
ijassa-878	89	32	element	element	NOUN
ijassa-878	89	33	of	of	ADP
ijassa-878	89	34	the	the	DET
ijassa-878	89	35	banach	banach	NOUN
ijassa-878	89	36	space	space	NOUN
ijassa-878	89	37	vµ∗(r×	vµ∗(r×	PROPN
ijassa-878	89	38	rns	rns	PROPN
ijassa-878	89	39	,	,	PUNCT
ijassa-878	89	40	rn	rn	PROPN
ijassa-878	89	41	)	)	PUNCT
ijassa-878	89	42	,	,	PUNCT
ijassa-878	89	43	and	and	CCONJ
ijassa-878	89	44	h	h	NOUN
ijassa-878	89	45	=	=	SYM
ijassa-878	89	46	(	(	PUNCT
ijassa-878	89	47	hq1	hq1	NUM
ijassa-878	89	48	,	,	PUNCT
ijassa-878	89	49	.	.	PUNCT
ijassa-878	89	50	.	.	PUNCT
ijassa-878	90	1	.	.	PUNCT
ijassa-878	91	1	,	,	PUNCT
ijassa-878	91	2	hqs	hqs	PROPN
ijassa-878	91	3	)	)	PUNCT
ijassa-878	91	4	,	,	PUNCT
ijassa-878	91	5	hqj	hqj	VERB
ijassa-878	91	6	≥	≥	NOUN
ijassa-878	91	7	0	0	NUM
ijassa-878	91	8	,	,	PUNCT
ijassa-878	91	9	j	j	PROPN
ijassa-878	91	10	=	=	SYM
ijassa-878	91	11	1	1	NUM
ijassa-878	91	12	,	,	PUNCT
ijassa-878	91	13	.	.	PUNCT
ijassa-878	91	14	.	.	PUNCT
ijassa-878	92	1	.	.	PUNCT
ijassa-878	93	1	,	,	PUNCT
ijassa-878	93	2	s	s	X
ijassa-878	93	3	,	,	PUNCT
ijassa-878	93	4	are	be	AUX
ijassa-878	93	5	maximum	maximum	ADJ
ijassa-878	93	6	deviation	deviation	NOUN
ijassa-878	93	7	of	of	ADP
ijassa-878	93	8	the	the	DET
ijassa-878	93	9	argument	argument	NOUN
ijassa-878	93	10	from	from	ADP
ijassa-878	93	11	the	the	DET
ijassa-878	93	12	condition	condition	NOUN
ijassa-878	93	13	(	(	PUNCT
ijassa-878	93	14	d	d	NOUN
ijassa-878	93	15	)	)	PUNCT
ijassa-878	93	16	,	,	PUNCT
ijassa-878	93	17	which	which	PRON
ijassa-878	93	18	we	we	PRON
ijassa-878	93	19	will	will	AUX
ijassa-878	93	20	consider	consider	VERB
ijassa-878	93	21	as	as	ADP
ijassa-878	93	22	parameters	parameter	NOUN
ijassa-878	93	23	.	.	PUNCT
ijassa-878	94	1	therefore	therefore	ADV
ijassa-878	94	2	,	,	PUNCT
ijassa-878	94	3	such	such	DET
ijassa-878	94	4	a	a	DET
ijassa-878	94	5	right	right	ADJ
ijassa-878	94	6	-	-	PUNCT
ijassa-878	94	7	hand	hand	NOUN
ijassa-878	94	8	side	side	NOUN
ijassa-878	94	9	of	of	ADP
ijassa-878	94	10	the	the	DET
ijassa-878	94	11	equation	equation	NOUN
ijassa-878	94	12	will	will	AUX
ijassa-878	94	13	uniquely	uniquely	ADV
ijassa-878	94	14	determine	determine	VERB
ijassa-878	94	15	the	the	DET
ijassa-878	94	16	pair	pair	NOUN
ijassa-878	94	17	(	(	PUNCT
ijassa-878	94	18	lf	lf	INTJ
ijassa-878	94	19	;	;	PUNCT
ijassa-878	94	20	h	h	NOUN
ijassa-878	94	21	)	)	PUNCT
ijassa-878	94	22	.	.	PUNCT
ijassa-878	95	1	we	we	PRON
ijassa-878	95	2	will	will	AUX
ijassa-878	95	3	seek	seek	VERB
ijassa-878	95	4	a	a	DET
ijassa-878	95	5	solution	solution	NOUN
ijassa-878	95	6	to	to	ADP
ijassa-878	95	7	the	the	DET
ijassa-878	95	8	fdept	fdept	NOUN
ijassa-878	95	9	with	with	ADP
ijassa-878	95	10	a	a	DET
ijassa-878	95	11	quasilinear	quasilinear	ADJ
ijassa-878	95	12	right	right	ADJ
ijassa-878	95	13	-	-	PUNCT
ijassa-878	95	14	hand	hand	NOUN
ijassa-878	95	15	side	side	NOUN
ijassa-878	95	16	in	in	ADP
ijassa-878	95	17	a	a	DET
ijassa-878	95	18	oneparameter	oneparameter	ADJ
ijassa-878	95	19	family	family	NOUN
ijassa-878	95	20	of	of	ADP
ijassa-878	95	21	banach	banach	NOUN
ijassa-878	95	22	spaces	space	NOUN
ijassa-878	95	23	of	of	ADP
ijassa-878	95	24	functions	function	NOUN
ijassa-878	95	25	with	with	ADP
ijassa-878	95	26	a	a	DET
ijassa-878	95	27	given	give	VERB
ijassa-878	95	28	exponential	exponential	ADJ
ijassa-878	95	29	growth	growth	NOUN
ijassa-878	95	30	.	.	PUNCT
ijassa-878	96	1	the	the	DET
ijassa-878	96	2	exponent	exponent	NOUN
ijassa-878	96	3	is	be	AUX
ijassa-878	96	4	the	the	DET
ijassa-878	96	5	parameter	parameter	NOUN
ijassa-878	96	6	of	of	ADP
ijassa-878	96	7	the	the	DET
ijassa-878	96	8	selected	select	VERB
ijassa-878	96	9	family	family	NOUN
ijassa-878	96	10	of	of	ADP
ijassa-878	96	11	functions	function	NOUN
ijassa-878	96	12	,	,	PUNCT
ijassa-878	96	13	which	which	PRON
ijassa-878	96	14	is	be	AUX
ijassa-878	96	15	defined	define	VERB
ijassa-878	96	16	as	as	SCONJ
ijassa-878	96	17	follows	follow	VERB
ijassa-878	96	18	lnµc(k)(r	lnµc(k)(r	PROPN
ijassa-878	96	19	)	)	PUNCT
ijassa-878	96	20	=	=	PRON
ijassa-878	96	21	{	{	PUNCT
ijassa-878	96	22	x	x	X
ijassa-878	96	23	(	(	PUNCT
ijassa-878	96	24	·	·	PUNCT
ijassa-878	96	25	)	)	PUNCT
ijassa-878	96	26	:	:	PUNCT
ijassa-878	97	1	x	x	X
ijassa-878	97	2	(	(	PUNCT
ijassa-878	97	3	·	·	PUNCT
ijassa-878	97	4	)	)	PUNCT
ijassa-878	97	5	∈	∈	PROPN
ijassa-878	97	6	c(k	c(k	NOUN
ijassa-878	97	7	)	)	PUNCT
ijassa-878	97	8	(	(	PUNCT
ijassa-878	97	9	r	r	NOUN
ijassa-878	97	10	,	,	PUNCT
ijassa-878	97	11	rn	rn	NOUN
ijassa-878	97	12	)	)	PUNCT
ijassa-878	97	13	,	,	PUNCT
ijassa-878	97	14	max	max	PROPN
ijassa-878	97	15	0≤r≤k	0≤r≤k	NUM
ijassa-878	97	16	sup	sup	NOUN
ijassa-878	97	17	t∈r	t∈r	NOUN
ijassa-878	97	18	‖x(r)(t)µ|t|‖rn	‖x(r)(t)µ|t|‖rn	X
ijassa-878	97	19	<	<	X
ijassa-878	98	1	+	+	NOUN
ijassa-878	98	2	∞	∞	NUM
ijassa-878	98	3	}	}	PUNCT
ijassa-878	98	4	,	,	PUNCT
ijassa-878	98	5	‖x(·)‖(k	‖x(·)‖(k	NOUN
ijassa-878	98	6	)	)	PUNCT
ijassa-878	98	7	µ	µ	X
ijassa-878	98	8	=	=	SYM
ijassa-878	98	9	max	max	PROPN
ijassa-878	98	10	0≤r≤k	0≤r≤k	NUM
ijassa-878	98	11	sup	sup	NOUN
ijassa-878	98	12	t∈r	t∈r	NOUN
ijassa-878	98	13	‖x(r)(t)µ|t|‖rn	‖x(r)(t)µ|t|‖rn	NOUN
ijassa-878	98	14	,	,	PUNCT
ijassa-878	98	15	k	k	PROPN
ijassa-878	98	16	=	=	SYM
ijassa-878	98	17	0	0	NUM
ijassa-878	98	18	,	,	PUNCT
ijassa-878	98	19	1	1	NUM
ijassa-878	98	20	,	,	PUNCT
ijassa-878	98	21	.	.	PUNCT
ijassa-878	98	22	.	.	PUNCT
ijassa-878	99	1	.	.	PUNCT
ijassa-878	100	1	,	,	PUNCT
ijassa-878	100	2	µ	µ	X
ijassa-878	100	3	∈	∈	NOUN
ijassa-878	100	4	(	(	PUNCT
ijassa-878	100	5	0,+∞	0,+∞	NUM
ijassa-878	100	6	)	)	PUNCT
ijassa-878	100	7	.	.	PUNCT
ijassa-878	101	1	2.1	2.1	NUM
ijassa-878	101	2	.	.	PUNCT
ijassa-878	101	3	existence	existence	NOUN
ijassa-878	101	4	and	and	CCONJ
ijassa-878	101	5	uniqueness	uniqueness	NOUN
ijassa-878	101	6	theorem	theorem	VERB
ijassa-878	101	7	for	for	ADP
ijassa-878	101	8	the	the	DET
ijassa-878	101	9	basic	basic	ADJ
ijassa-878	101	10	initial	initial	ADJ
ijassa-878	101	11	-	-	PUNCT
ijassa-878	101	12	boundary	boundary	NOUN
ijassa-878	101	13	value	value	NOUN
ijassa-878	101	14	problem	problem	NOUN
ijassa-878	101	15	in	in	ADP
ijassa-878	101	16	terms	term	NOUN
ijassa-878	101	17	of	of	ADP
ijassa-878	101	18	the	the	DET
ijassa-878	101	19	parameter	parameter	NOUN
ijassa-878	101	20	µ	µ	X
ijassa-878	101	21	∈	∈	PROPN
ijassa-878	101	22	(	(	PUNCT
ijassa-878	101	23	0	0	NUM
ijassa-878	101	24	,	,	PUNCT
ijassa-878	101	25	1	1	NUM
ijassa-878	101	26	)	)	PUNCT
ijassa-878	101	27	and	and	CCONJ
ijassa-878	101	28	the	the	DET
ijassa-878	101	29	space	space	NOUN
ijassa-878	101	30	lnµc(0)(r	lnµc(0)(r	PROPN
ijassa-878	101	31	)	)	PUNCT
ijassa-878	101	32	we	we	PRON
ijassa-878	101	33	formulate	formulate	VERB
ijassa-878	101	34	a	a	DET
ijassa-878	101	35	condition	condition	NOUN
ijassa-878	101	36	guaranteeing	guarantee	VERB
ijassa-878	101	37	the	the	DET
ijassa-878	101	38	existence	existence	NOUN
ijassa-878	101	39	and	and	CCONJ
ijassa-878	101	40	uniqueness	uniqueness	NOUN
ijassa-878	101	41	of	of	ADP
ijassa-878	101	42	a	a	DET
ijassa-878	101	43	solution	solution	NOUN
ijassa-878	101	44	for	for	ADP
ijassa-878	101	45	the	the	DET
ijassa-878	101	46	initially	initially	ADJ
ijassa-878	101	47	-	-	PUNCT
ijassa-878	101	48	boundary	boundary	NOUN
ijassa-878	101	49	problem	problem	NOUN
ijassa-878	101	50	.	.	PUNCT
ijassa-878	102	1	theorem	theorem	VERB
ijassa-878	102	2	2.1	2.1	NUM
ijassa-878	102	3	(	(	PUNCT
ijassa-878	102	4	[	[	X
ijassa-878	102	5	25	25	NUM
ijassa-878	102	6	]	]	PUNCT
ijassa-878	102	7	):	):	PUNCT
ijassa-878	102	8	let	let	VERB
ijassa-878	102	9	function	function	PROPN
ijassa-878	102	10	f	f	PROPN
ijassa-878	102	11	and	and	CCONJ
ijassa-878	102	12	diffeomorphisms	diffeomorphisms	PROPN
ijassa-878	102	13	qj	qj	PROPN
ijassa-878	102	14	(	(	PUNCT
ijassa-878	102	15	·	·	PUNCT
ijassa-878	102	16	)	)	PUNCT
ijassa-878	102	17	,	,	PUNCT
ijassa-878	102	18	j	j	PROPN
ijassa-878	102	19	=	=	SYM
ijassa-878	102	20	1	1	NUM
ijassa-878	102	21	,	,	PUNCT
ijassa-878	102	22	.	.	PUNCT
ijassa-878	102	23	.	.	PUNCT
ijassa-878	103	1	.	.	PUNCT
ijassa-878	104	1	,	,	PUNCT
ijassa-878	104	2	s	s	AUX
ijassa-878	104	3	,	,	PUNCT
ijassa-878	104	4	satisfy	satisfy	VERB
ijassa-878	104	5	the	the	DET
ijassa-878	104	6	conditions	condition	NOUN
ijassa-878	104	7	(	(	PUNCT
ijassa-878	104	8	a)−	a)−	X
ijassa-878	104	9	(	(	PUNCT
ijassa-878	104	10	e	e	NOUN
ijassa-878	104	11	)	)	PUNCT
ijassa-878	104	12	from	from	ADP
ijassa-878	104	13	the	the	DET
ijassa-878	104	14	section	section	NOUN
ijassa-878	104	15	2	2	NUM
ijassa-878	104	16	.	.	PUNCT
ijassa-878	105	1	if	if	SCONJ
ijassa-878	105	2	for	for	ADP
ijassa-878	105	3	some	some	DET
ijassa-878	105	4	µ	µ	PRON
ijassa-878	105	5	∈	∈	NOUN
ijassa-878	105	6	(	(	PUNCT
ijassa-878	105	7	0	0	NUM
ijassa-878	105	8	,	,	PUNCT
ijassa-878	105	9	µ∗	µ∗	ADJ
ijassa-878	105	10	)	)	PUNCT
ijassa-878	105	11	∩	∩	NOUN
ijassa-878	105	12	(	(	PUNCT
ijassa-878	105	13	0	0	NUM
ijassa-878	105	14	,	,	PUNCT
ijassa-878	105	15	1	1	NUM
ijassa-878	105	16	)	)	PUNCT
ijassa-878	105	17	the	the	DET
ijassa-878	105	18	inequality	inequality	NOUN
ijassa-878	105	19	lf	lf	ADP
ijassa-878	105	20	s∑	s∑	PROPN
ijassa-878	105	21	j=1	j=1	PROPN
ijassa-878	105	22	µ−hqj	µ−hqj	VERB
ijassa-878	105	23	<	<	X
ijassa-878	105	24	lnµ−1	lnµ−1	PROPN
ijassa-878	105	25	,	,	PUNCT
ijassa-878	105	26	(	(	PUNCT
ijassa-878	105	27	2.6	2.6	NUM
ijassa-878	105	28	)	)	PUNCT
ijassa-878	105	29	is	be	AUX
ijassa-878	105	30	satisfied	satisfied	ADJ
ijassa-878	105	31	then	then	ADV
ijassa-878	105	32	for	for	ADP
ijassa-878	105	33	any	any	DET
ijassa-878	105	34	fixed	fix	VERB
ijassa-878	105	35	initial	initial	ADJ
ijassa-878	105	36	-	-	PUNCT
ijassa-878	105	37	boundary	boundary	NOUN
ijassa-878	105	38	conditions	condition	NOUN
ijassa-878	105	39	x̄	x̄	PROPN
ijassa-878	105	40	∈	∈	PROPN
ijassa-878	105	41	rn	rn	PROPN
ijassa-878	105	42	,	,	PUNCT
ijassa-878	105	43	ϕ	ϕ	PROPN
ijassa-878	105	44	(	(	PUNCT
ijassa-878	105	45	·	·	PUNCT
ijassa-878	105	46	)	)	PUNCT
ijassa-878	106	1	∈	∈	PROPN
ijassa-878	106	2	l∞(r	l∞(r	PROPN
ijassa-878	106	3	,	,	PUNCT
ijassa-878	106	4	rn	rn	PROPN
ijassa-878	106	5	)	)	PUNCT
ijassa-878	106	6	there	there	PRON
ijassa-878	106	7	exists	exist	VERB
ijassa-878	106	8	a	a	DET
ijassa-878	106	9	solution	solution	NOUN
ijassa-878	106	10	(	(	PUNCT
ijassa-878	106	11	absolutely	absolutely	ADV
ijassa-878	106	12	continuous	continuous	ADJ
ijassa-878	106	13	)	)	PUNCT
ijassa-878	106	14	x	x	SYM
ijassa-878	106	15	(	(	PUNCT
ijassa-878	106	16	·	·	PUNCT
ijassa-878	106	17	)	)	PUNCT
ijassa-878	106	18	∈	∈	PROPN
ijassa-878	106	19	lnµc(0)(r	lnµc(0)(r	PROPN
ijassa-878	106	20	)	)	PUNCT
ijassa-878	106	21	of	of	ADP
ijassa-878	106	22	the	the	DET
ijassa-878	106	23	basic	basic	ADJ
ijassa-878	106	24	initialboundary	initialboundary	ADJ
ijassa-878	106	25	value	value	NOUN
ijassa-878	106	26	problem	problem	NOUN
ijassa-878	106	27	(	(	PUNCT
ijassa-878	106	28	2.1)-(2.3	2.1)-(2.3	NUM
ijassa-878	106	29	)	)	PUNCT
ijassa-878	106	30	.	.	PUNCT
ijassa-878	107	1	such	such	DET
ijassa-878	107	2	a	a	DET
ijassa-878	107	3	solution	solution	NOUN
ijassa-878	107	4	is	be	AUX
ijassa-878	107	5	unique	unique	ADJ
ijassa-878	107	6	and	and	CCONJ
ijassa-878	107	7	,	,	PUNCT
ijassa-878	107	8	as	as	ADP
ijassa-878	107	9	an	an	DET
ijassa-878	107	10	element	element	NOUN
ijassa-878	107	11	of	of	ADP
ijassa-878	107	12	the	the	DET
ijassa-878	107	13	copyright	copyright	NOUN
ijassa-878	107	14	©	©	PROPN
ijassa-878	107	15	2020	2020	NUM
ijassa-878	107	16	assa	assa	NOUN
ijassa-878	107	17	.	.	PUNCT
ijassa-878	108	1	adv	adv	PROPN
ijassa-878	108	2	syst	syst	PROPN
ijassa-878	108	3	sci	sci	PROPN
ijassa-878	108	4	appl	appl	PROPN
ijassa-878	108	5	(	(	PUNCT
ijassa-878	108	6	2020	2020	NUM
ijassa-878	108	7	)	)	PUNCT
ijassa-878	108	8	60	60	NUM
ijassa-878	108	9	a.	a.	NOUN
ijassa-878	108	10	beklaryan	beklaryan	ADJ
ijassa-878	108	11	space	space	NOUN
ijassa-878	108	12	lnµc(0)(r	lnµc(0)(r	PROPN
ijassa-878	108	13	)	)	PUNCT
ijassa-878	108	14	,	,	PUNCT
ijassa-878	108	15	depends	depend	VERB
ijassa-878	108	16	continuously	continuously	ADV
ijassa-878	108	17	on	on	ADP
ijassa-878	108	18	the	the	DET
ijassa-878	108	19	initial	initial	ADJ
ijassa-878	108	20	-	-	PUNCT
ijassa-878	108	21	boundary	boundary	NOUN
ijassa-878	108	22	conditions	condition	NOUN
ijassa-878	108	23	x̄	x̄	PROPN
ijassa-878	108	24	∈	∈	PROPN
ijassa-878	108	25	rn	rn	PROPN
ijassa-878	108	26	,	,	PUNCT
ijassa-878	108	27	ϕ	ϕ	PROPN
ijassa-878	108	28	(	(	PUNCT
ijassa-878	108	29	·	·	PUNCT
ijassa-878	108	30	)	)	PUNCT
ijassa-878	108	31	∈	∈	PROPN
ijassa-878	108	32	l∞(r	l∞(r	PROPN
ijassa-878	108	33	,	,	PUNCT
ijassa-878	108	34	rn	rn	PROPN
ijassa-878	108	35	)	)	PUNCT
ijassa-878	108	36	and	and	CCONJ
ijassa-878	108	37	the	the	DET
ijassa-878	108	38	right	right	ADJ
ijassa-878	108	39	-	-	PUNCT
ijassa-878	108	40	hand	hand	NOUN
ijassa-878	108	41	side	side	NOUN
ijassa-878	108	42	of	of	ADP
ijassa-878	108	43	the	the	DET
ijassa-878	108	44	equation	equation	NOUN
ijassa-878	108	45	(	(	PUNCT
ijassa-878	108	46	function	function	NOUN
ijassa-878	108	47	f	f	X
ijassa-878	108	48	(	(	PUNCT
ijassa-878	108	49	·	·	PUNCT
ijassa-878	108	50	)	)	PUNCT
ijassa-878	108	51	)	)	PUNCT
ijassa-878	108	52	.	.	PUNCT
ijassa-878	109	1	the	the	DET
ijassa-878	109	2	condition	condition	NOUN
ijassa-878	109	3	(	(	PUNCT
ijassa-878	109	4	2.6	2.6	NUM
ijassa-878	109	5	)	)	PUNCT
ijassa-878	109	6	is	be	AUX
ijassa-878	109	7	exact	exact	ADJ
ijassa-878	109	8	and	and	CCONJ
ijassa-878	109	9	not	not	PART
ijassa-878	109	10	improvable	improvable	ADJ
ijassa-878	109	11	:	:	PUNCT
ijassa-878	109	12	there	there	PRON
ijassa-878	109	13	are	be	VERB
ijassa-878	109	14	differential	differential	ADJ
ijassa-878	109	15	equations	equation	NOUN
ijassa-878	109	16	for	for	ADP
ijassa-878	109	17	which	which	DET
ijassa-878	109	18	violation	violation	NOUN
ijassa-878	109	19	of	of	ADP
ijassa-878	109	20	this	this	DET
ijassa-878	109	21	condition	condition	NOUN
ijassa-878	109	22	leads	lead	VERB
ijassa-878	109	23	to	to	ADP
ijassa-878	109	24	a	a	DET
ijassa-878	109	25	violation	violation	NOUN
ijassa-878	109	26	of	of	ADP
ijassa-878	109	27	either	either	CCONJ
ijassa-878	109	28	the	the	DET
ijassa-878	109	29	existence	existence	NOUN
ijassa-878	109	30	of	of	ADP
ijassa-878	109	31	the	the	DET
ijassa-878	109	32	solution	solution	NOUN
ijassa-878	109	33	or	or	CCONJ
ijassa-878	109	34	uniqueness	uniqueness	NOUN
ijassa-878	109	35	.	.	PUNCT
ijassa-878	110	1	note	note	VERB
ijassa-878	110	2	that	that	SCONJ
ijassa-878	110	3	if	if	SCONJ
ijassa-878	110	4	the	the	DET
ijassa-878	110	5	inequality	inequality	NOUN
ijassa-878	110	6	(	(	PUNCT
ijassa-878	110	7	2.6	2.6	NUM
ijassa-878	110	8	)	)	PUNCT
ijassa-878	110	9	has	have	VERB
ijassa-878	110	10	a	a	DET
ijassa-878	110	11	solution	solution	NOUN
ijassa-878	110	12	,	,	PUNCT
ijassa-878	110	13	then	then	ADV
ijassa-878	110	14	there	there	PRON
ijassa-878	110	15	are	be	VERB
ijassa-878	110	16	µ1(lf	µ1(lf	PROPN
ijassa-878	110	17	;	;	PUNCT
ijassa-878	110	18	h	h	X
ijassa-878	110	19	)	)	PUNCT
ijassa-878	110	20	,	,	PUNCT
ijassa-878	110	21	µ2(lf	µ2(lf	PROPN
ijassa-878	110	22	;	;	PUNCT
ijassa-878	110	23	h	h	X
ijassa-878	110	24	)	)	PUNCT
ijassa-878	110	25	such	such	ADJ
ijassa-878	110	26	that	that	PRON
ijassa-878	110	27	for	for	ADP
ijassa-878	110	28	each	each	DET
ijassa-878	110	29	solution	solution	NOUN
ijassa-878	110	30	µ	µ	ADP
ijassa-878	110	31	the	the	DET
ijassa-878	110	32	following	follow	VERB
ijassa-878	110	33	condition	condition	NOUN
ijassa-878	110	34	holds	hold	VERB
ijassa-878	110	35	µ1(lf	µ1(lf	PROPN
ijassa-878	110	36	;	;	PUNCT
ijassa-878	110	37	h	h	X
ijassa-878	110	38	)	)	PUNCT
ijassa-878	110	39	<	<	X
ijassa-878	110	40	µ	µ	X
ijassa-878	110	41	<	<	X
ijassa-878	110	42	µ2(lf	µ2(lf	PROPN
ijassa-878	110	43	;	;	PUNCT
ijassa-878	110	44	h	h	NOUN
ijassa-878	110	45	)	)	PUNCT
ijassa-878	110	46	.	.	PUNCT
ijassa-878	111	1	3	3	X
ijassa-878	111	2	.	.	X
ijassa-878	111	3	variational	variational	ADJ
ijassa-878	111	4	approach	approach	NOUN
ijassa-878	111	5	to	to	ADP
ijassa-878	111	6	constructing	construct	VERB
ijassa-878	111	7	solutions	solution	NOUN
ijassa-878	111	8	to	to	ADP
ijassa-878	111	9	the	the	DET
ijassa-878	111	10	basic	basic	ADJ
ijassa-878	111	11	initial	initial	ADJ
ijassa-878	111	12	-	-	PUNCT
ijassa-878	111	13	boundary	boundary	NOUN
ijassa-878	111	14	value	value	NOUN
ijassa-878	111	15	problem	problem	NOUN
ijassa-878	111	16	we	we	PRON
ijassa-878	111	17	study	study	VERB
ijassa-878	111	18	absolutely	absolutely	ADV
ijassa-878	111	19	continuous	continuous	ADJ
ijassa-878	111	20	solutions	solution	NOUN
ijassa-878	111	21	of	of	ADP
ijassa-878	111	22	the	the	DET
ijassa-878	111	23	system	system	NOUN
ijassa-878	111	24	fi(t	fi(t	NOUN
ijassa-878	111	25	,	,	PUNCT
ijassa-878	111	26	ẋ(t	ẋ(t	NOUN
ijassa-878	111	27	)	)	PUNCT
ijassa-878	111	28	,	,	PUNCT
ijassa-878	111	29	x(t+	x(t+	PROPN
ijassa-878	111	30	τ1	τ1	NOUN
ijassa-878	111	31	)	)	PUNCT
ijassa-878	111	32	,	,	PUNCT
ijassa-878	111	33	.	.	PUNCT
ijassa-878	111	34	.	.	PUNCT
ijassa-878	111	35	.	.	PUNCT
ijassa-878	112	1	,	,	PUNCT
ijassa-878	112	2	x(t+	x(t+	PROPN
ijassa-878	112	3	τs	τs	NUM
ijassa-878	112	4	)	)	PUNCT
ijassa-878	112	5	)	)	PUNCT
ijassa-878	113	1	=	=	SYM
ijassa-878	113	2	0	0	NUM
ijassa-878	113	3	,	,	PUNCT
ijassa-878	113	4	i	i	PRON
ijassa-878	113	5	=	=	NOUN
ijassa-878	113	6	1	1	NUM
ijassa-878	113	7	,	,	PUNCT
ijassa-878	113	8	k	k	PROPN
ijassa-878	113	9	,	,	PUNCT
ijassa-878	113	10	t	t	PROPN
ijassa-878	113	11	∈	∈	PROPN
ijassa-878	114	1	[	[	X
ijassa-878	114	2	tl	tl	PROPN
ijassa-878	114	3	,	,	PUNCT
ijassa-878	114	4	tr	tr	VERB
ijassa-878	114	5	]	]	X
ijassa-878	114	6	,	,	PUNCT
ijassa-878	114	7	(	(	PUNCT
ijassa-878	114	8	3.7	3.7	NUM
ijassa-878	114	9	)	)	PUNCT
ijassa-878	114	10	under	under	ADP
ijassa-878	114	11	boundary	boundary	ADJ
ijassa-878	114	12	conditions	condition	NOUN
ijassa-878	114	13	outside	outside	ADP
ijassa-878	114	14	the	the	DET
ijassa-878	114	15	system	system	NOUN
ijassa-878	114	16	definition	definition	NOUN
ijassa-878	114	17	interval	interval	NOUN
ijassa-878	114	18	ẋ(t	ẋ(t	PROPN
ijassa-878	114	19	)	)	PUNCT
ijassa-878	114	20	=	=	SYM
ijassa-878	114	21	ϕl(t	ϕl(t	PRON
ijassa-878	114	22	)	)	PUNCT
ijassa-878	114	23	,	,	PUNCT
ijassa-878	114	24	t	t	PROPN
ijassa-878	114	25	∈	∈	PROPN
ijassa-878	115	1	[	[	X
ijassa-878	115	2	tll	tll	NOUN
ijassa-878	115	3	,	,	PUNCT
ijassa-878	115	4	tl	tl	PROPN
ijassa-878	115	5	]	]	X
ijassa-878	115	6	,	,	PUNCT
ijassa-878	115	7	(	(	PUNCT
ijassa-878	115	8	3.8	3.8	NUM
ijassa-878	115	9	)	)	PUNCT
ijassa-878	115	10	ẋ(t	ẋ(t	NOUN
ijassa-878	115	11	)	)	PUNCT
ijassa-878	115	12	=	=	SYM
ijassa-878	115	13	ϕr(t	ϕr(t	NOUN
ijassa-878	115	14	)	)	PUNCT
ijassa-878	115	15	,	,	PUNCT
ijassa-878	115	16	t	t	PROPN
ijassa-878	115	17	∈	∈	PROPN
ijassa-878	116	1	[	[	X
ijassa-878	116	2	tr	tr	VERB
ijassa-878	116	3	,	,	PUNCT
ijassa-878	116	4	trr	trr	NOUN
ijassa-878	116	5	]	]	X
ijassa-878	116	6	,	,	PUNCT
ijassa-878	116	7	(	(	PUNCT
ijassa-878	116	8	3.9	3.9	NUM
ijassa-878	116	9	)	)	PUNCT
ijassa-878	116	10	as	as	ADV
ijassa-878	116	11	well	well	ADV
ijassa-878	116	12	as	as	ADP
ijassa-878	116	13	initial	initial	ADJ
ijassa-878	116	14	-	-	PUNCT
ijassa-878	116	15	boundary	boundary	ADJ
ijassa-878	116	16	conditions	condition	NOUN
ijassa-878	116	17	on	on	ADP
ijassa-878	116	18	the	the	DET
ijassa-878	116	19	system	system	NOUN
ijassa-878	116	20	definition	definition	NOUN
ijassa-878	116	21	interval	interval	NOUN
ijassa-878	116	22	km(ẋ(ξ	km(ẋ(ξ	PROPN
ijassa-878	116	23	)	)	PUNCT
ijassa-878	116	24	,	,	PUNCT
ijassa-878	116	25	x(ξ1	x(ξ1	NOUN
ijassa-878	116	26	)	)	PUNCT
ijassa-878	116	27	,	,	PUNCT
ijassa-878	116	28	.	.	PUNCT
ijassa-878	116	29	.	.	PUNCT
ijassa-878	117	1	.	.	PUNCT
ijassa-878	118	1	,	,	PUNCT
ijassa-878	118	2	x(ξp	x(ξp	NOUN
ijassa-878	118	3	)	)	PUNCT
ijassa-878	118	4	)	)	PUNCT
ijassa-878	119	1	=	=	SYM
ijassa-878	119	2	0	0	NUM
ijassa-878	119	3	,	,	PUNCT
ijassa-878	119	4	(	(	PUNCT
ijassa-878	119	5	3.10	3.10	NUM
ijassa-878	119	6	)	)	PUNCT
ijassa-878	119	7	where	where	SCONJ
ijassa-878	119	8	fi	fi	NOUN
ijassa-878	119	9	:	:	PUNCT
ijassa-878	119	10	r×	r×	PROPN
ijassa-878	119	11	rn	rn	PROPN
ijassa-878	119	12	×	×	PROPN
ijassa-878	119	13	rns	rn	VERB
ijassa-878	119	14	−→	−→	PROPN
ijassa-878	119	15	rn	rn	PROPN
ijassa-878	119	16	,	,	PUNCT
ijassa-878	119	17	i	i	PRON
ijassa-878	119	18	=	=	NOUN
ijassa-878	119	19	1	1	NUM
ijassa-878	119	20	,	,	PUNCT
ijassa-878	119	21	k	k	NOUN
ijassa-878	119	22	,	,	PUNCT
ijassa-878	119	23	is	be	AUX
ijassa-878	119	24	a	a	DET
ijassa-878	119	25	mapping	mapping	NOUN
ijassa-878	119	26	of	of	ADP
ijassa-878	119	27	the	the	DET
ijassa-878	119	28	c(0	c(0	NOUN
ijassa-878	119	29	)	)	PUNCT
ijassa-878	119	30	class	class	NOUN
ijassa-878	119	31	;	;	PUNCT
ijassa-878	119	32	τj	τj	ADP
ijassa-878	119	33	∈	∈	PROPN
ijassa-878	119	34	z	z	PROPN
ijassa-878	119	35	,	,	PUNCT
ijassa-878	119	36	j	j	PROPN
ijassa-878	119	37	=	=	SYM
ijassa-878	119	38	1	1	NUM
ijassa-878	119	39	,	,	PUNCT
ijassa-878	119	40	s	s	PART
ijassa-878	119	41	;	;	PUNCT
ijassa-878	119	42	tl	tl	PROPN
ijassa-878	119	43	,	,	PUNCT
ijassa-878	119	44	tr	tr	NOUN
ijassa-878	119	45	∈	∈	PROPN
ijassa-878	119	46	r	r	NOUN
ijassa-878	119	47	;	;	PUNCT
ijassa-878	119	48	tll	tll	PROPN
ijassa-878	119	49	=	=	SYM
ijassa-878	119	50	tl	tl	PROPN
ijassa-878	119	51	+	+	SYM
ijassa-878	119	52	min{0	min{0	PROPN
ijassa-878	119	53	,	,	PUNCT
ijassa-878	119	54	τ1	τ1	NOUN
ijassa-878	119	55	,	,	PUNCT
ijassa-878	119	56	.	.	PUNCT
ijassa-878	119	57	.	.	PUNCT
ijassa-878	119	58	.	.	PUNCT
ijassa-878	120	1	,	,	PUNCT
ijassa-878	120	2	τs	τs	X
ijassa-878	120	3	}	}	PUNCT
ijassa-878	120	4	,	,	PUNCT
ijassa-878	120	5	trr	trr	NOUN
ijassa-878	120	6	=	=	PUNCT
ijassa-878	120	7	tr	tr	VERB
ijassa-878	120	8	+	+	NUM
ijassa-878	120	9	max{0	max{0	PROPN
ijassa-878	120	10	,	,	PUNCT
ijassa-878	120	11	τ1	τ1	NOUN
ijassa-878	120	12	,	,	PUNCT
ijassa-878	120	13	.	.	PUNCT
ijassa-878	120	14	.	.	PUNCT
ijassa-878	120	15	.	.	PUNCT
ijassa-878	121	1	,	,	PUNCT
ijassa-878	121	2	τs	τs	X
ijassa-878	121	3	}	}	PUNCT
ijassa-878	121	4	;	;	PUNCT
ijassa-878	121	5	ϕl	ϕl	PROPN
ijassa-878	121	6	,	,	PUNCT
ijassa-878	121	7	ϕr	ϕr	X
ijassa-878	121	8	:	:	PUNCT
ijassa-878	121	9	rn	rn	PROPN
ijassa-878	121	10	−→	−→	PROPN
ijassa-878	121	11	rn	rn	PROPN
ijassa-878	121	12	are	be	AUX
ijassa-878	121	13	mappings	mapping	NOUN
ijassa-878	121	14	of	of	ADP
ijassa-878	121	15	thec(0	thec(0	NOUN
ijassa-878	121	16	)	)	PUNCT
ijassa-878	121	17	class	class	NOUN
ijassa-878	121	18	,	,	PUNCT
ijassa-878	121	19	defining	define	VERB
ijassa-878	121	20	fixed	fix	VERB
ijassa-878	121	21	boundary	boundary	ADJ
ijassa-878	121	22	vector	vector	NOUN
ijassa-878	121	23	functions;km	functions;km	ADV
ijassa-878	121	24	:	:	PUNCT
ijassa-878	121	25	rn	rn	PROPN
ijassa-878	121	26	×	×	PROPN
ijassa-878	121	27	rnp	rnp	PROPN
ijassa-878	121	28	−→	−→	PROPN
ijassa-878	121	29	rn	rn	PROPN
ijassa-878	121	30	,	,	PUNCT
ijassa-878	121	31	m	m	VERB
ijassa-878	121	32	=	=	NOUN
ijassa-878	121	33	1	1	NUM
ijassa-878	121	34	,	,	PUNCT
ijassa-878	121	35	q	q	INTJ
ijassa-878	121	36	,	,	PUNCT
ijassa-878	121	37	is	be	AUX
ijassa-878	121	38	a	a	DET
ijassa-878	121	39	mapping	mapping	NOUN
ijassa-878	121	40	of	of	ADP
ijassa-878	121	41	the	the	DET
ijassa-878	121	42	c(0	c(0	NOUN
ijassa-878	121	43	)	)	PUNCT
ijassa-878	121	44	class	class	NOUN
ijassa-878	121	45	;	;	PUNCT
ijassa-878	121	46	ξ	ξ	X
ijassa-878	121	47	,	,	PUNCT
ijassa-878	122	1	ξi	ξi	PROPN
ijassa-878	122	2	∈	∈	PROPN
ijassa-878	123	1	[	[	X
ijassa-878	123	2	tl	tl	PROPN
ijassa-878	123	3	,	,	PUNCT
ijassa-878	123	4	tr	tr	VERB
ijassa-878	123	5	]	]	PUNCT
ijassa-878	123	6	,	,	PUNCT
ijassa-878	123	7	i	i	PRON
ijassa-878	123	8	=	=	NOUN
ijassa-878	123	9	1	1	NUM
ijassa-878	123	10	,	,	PUNCT
ijassa-878	123	11	p	p	X
ijassa-878	123	12	,	,	PUNCT
ijassa-878	123	13	is	be	AUX
ijassa-878	123	14	a	a	DET
ijassa-878	123	15	fixed	fix	VERB
ijassa-878	123	16	set	set	NOUN
ijassa-878	123	17	of	of	ADP
ijassa-878	123	18	points	point	NOUN
ijassa-878	123	19	on	on	ADP
ijassa-878	123	20	the	the	DET
ijassa-878	123	21	system	system	NOUN
ijassa-878	123	22	definition	definition	NOUN
ijassa-878	123	23	interval	interval	NOUN
ijassa-878	123	24	.	.	PUNCT
ijassa-878	124	1	we	we	PRON
ijassa-878	124	2	give	give	VERB
ijassa-878	124	3	a	a	DET
ijassa-878	124	4	formal	formal	ADJ
ijassa-878	124	5	statement	statement	NOUN
ijassa-878	124	6	of	of	ADP
ijassa-878	124	7	the	the	DET
ijassa-878	124	8	optimization	optimization	NOUN
ijassa-878	124	9	problem	problem	NOUN
ijassa-878	124	10	induced	induce	VERB
ijassa-878	124	11	by	by	ADP
ijassa-878	124	12	the	the	DET
ijassa-878	124	13	initial	initial	ADJ
ijassa-878	124	14	-	-	PUNCT
ijassa-878	124	15	boundaryvalue	boundaryvalue	NOUN
ijassa-878	124	16	problem	problem	NOUN
ijassa-878	124	17	.	.	PUNCT
ijassa-878	125	1	problem	problem	NOUN
ijassa-878	125	2	a.	a.	NOUN
ijassa-878	125	3	find	find	VERB
ijassa-878	125	4	the	the	DET
ijassa-878	125	5	trajectory	trajectory	NOUN
ijassa-878	125	6	x̂(t	x̂(t	PROPN
ijassa-878	125	7	)	)	PUNCT
ijassa-878	125	8	,	,	PUNCT
ijassa-878	125	9	which	which	PRON
ijassa-878	125	10	provides	provide	VERB
ijassa-878	125	11	a	a	DET
ijassa-878	125	12	minimum	minimum	NOUN
ijassa-878	125	13	of	of	ADP
ijassa-878	125	14	residual	residual	ADJ
ijassa-878	125	15	functional	functional	ADJ
ijassa-878	125	16	i(x̂(t	i(x̂(t	NOUN
ijassa-878	125	17	)	)	PUNCT
ijassa-878	125	18	)	)	PUNCT
ijassa-878	126	1	=	=	SYM
ijassa-878	126	2	v(n	v(n	NOUN
ijassa-878	126	3	)	)	PUNCT
ijassa-878	126	4	(	(	PUNCT
ijassa-878	126	5	k∑	k∑	VERB
ijassa-878	126	6	i=1	i=1	PROPN
ijassa-878	126	7	∫	∫	PROPN
ijassa-878	126	8	tr	tr	VERB
ijassa-878	126	9	tl	tl	PROPN
ijassa-878	126	10	f	f	PROPN
ijassa-878	126	11	2	2	NUM
ijassa-878	126	12	i	i	NOUN
ijassa-878	126	13	(	(	PUNCT
ijassa-878	126	14	t	t	PROPN
ijassa-878	126	15	,	,	PUNCT
ijassa-878	126	16	˙̂x(t	˙̂x(t	NOUN
ijassa-878	126	17	)	)	PUNCT
ijassa-878	126	18	,	,	PUNCT
ijassa-878	126	19	x̂(t+	x̂(t+	PROPN
ijassa-878	126	20	τ1	τ1	PROPN
ijassa-878	126	21	)	)	PUNCT
ijassa-878	126	22	,	,	PUNCT
ijassa-878	126	23	.	.	PUNCT
ijassa-878	126	24	.	.	PUNCT
ijassa-878	126	25	.	.	PUNCT
ijassa-878	127	1	,	,	PUNCT
ijassa-878	127	2	x̂(t+	x̂(t+	PROPN
ijassa-878	127	3	τs))dt+∫	τs))dt+∫	CCONJ
ijassa-878	127	4	tl	tl	PROPN
ijassa-878	127	5	tll	tll	PROPN
ijassa-878	127	6	[	[	PUNCT
ijassa-878	127	7	˙̂x(t)−	˙̂x(t)−	PROPN
ijassa-878	127	8	ϕl(t)]2dt+	ϕl(t)]2dt+	PROPN
ijassa-878	127	9	∫	∫	PROPN
ijassa-878	127	10	trr	trr	PROPN
ijassa-878	127	11	tr	tr	PROPN
ijassa-878	127	12	[	[	PUNCT
ijassa-878	127	13	˙̂x(t)−	˙̂x(t)−	PROPN
ijassa-878	127	14	ϕr(t)]2dt	ϕr(t)]2dt	NOUN
ijassa-878	127	15	)	)	PUNCT
ijassa-878	128	1	+	+	NUM
ijassa-878	128	2	v(k	v(k	NOUN
ijassa-878	128	3	)	)	PUNCT
ijassa-878	128	4	q∑	q∑	PROPN
ijassa-878	129	1	m=1	m=1	PROPN
ijassa-878	129	2	k2	k2	PROPN
ijassa-878	129	3	m	m	PROPN
ijassa-878	129	4	(	(	PUNCT
ijassa-878	129	5	˙̂x(ξ	˙̂x(ξ	ADJ
ijassa-878	129	6	)	)	PUNCT
ijassa-878	129	7	,	,	PUNCT
ijassa-878	129	8	x̂(ξ1	x̂(ξ1	NOUN
ijassa-878	129	9	)	)	PUNCT
ijassa-878	129	10	,	,	PUNCT
ijassa-878	129	11	.	.	PUNCT
ijassa-878	129	12	.	.	PUNCT
ijassa-878	129	13	.	.	PUNCT
ijassa-878	130	1	,	,	PUNCT
ijassa-878	130	2	x̂(ξp	x̂(ξp	NOUN
ijassa-878	130	3	)	)	PUNCT
ijassa-878	130	4	)	)	PUNCT
ijassa-878	130	5	,	,	PUNCT
ijassa-878	130	6	(	(	PUNCT
ijassa-878	130	7	3.11	3.11	NUM
ijassa-878	130	8	)	)	PUNCT
ijassa-878	130	9	where	where	SCONJ
ijassa-878	130	10	v(n	v(n	NOUN
ijassa-878	130	11	)	)	PUNCT
ijassa-878	130	12	,	,	PUNCT
ijassa-878	130	13	v(k	v(k	NOUN
ijassa-878	130	14	)	)	PUNCT
ijassa-878	130	15	∈	∈	PROPN
ijassa-878	130	16	r+	r+	NOUN
ijassa-878	130	17	are	be	AUX
ijassa-878	130	18	weighting	weight	VERB
ijassa-878	130	19	factors	factor	NOUN
ijassa-878	130	20	.	.	PUNCT
ijassa-878	131	1	the	the	DET
ijassa-878	131	2	following	follow	VERB
ijassa-878	131	3	statement	statement	NOUN
ijassa-878	131	4	holds	hold	VERB
ijassa-878	131	5	.	.	PUNCT
ijassa-878	132	1	proposition	proposition	NOUN
ijassa-878	132	2	3.1	3.1	NUM
ijassa-878	132	3	:	:	PUNCT
ijassa-878	132	4	each	each	DET
ijassa-878	132	5	solution	solution	NOUN
ijassa-878	132	6	to	to	ADP
ijassa-878	132	7	the	the	DET
ijassa-878	132	8	initial	initial	ADJ
ijassa-878	132	9	-	-	PUNCT
ijassa-878	132	10	boundary	boundary	NOUN
ijassa-878	132	11	value	value	NOUN
ijassa-878	132	12	problem	problem	NOUN
ijassa-878	132	13	(	(	PUNCT
ijassa-878	132	14	3.7)-(3.10	3.7)-(3.10	NOUN
ijassa-878	132	15	)	)	PUNCT
ijassa-878	132	16	is	be	AUX
ijassa-878	132	17	a	a	DET
ijassa-878	132	18	solution	solution	NOUN
ijassa-878	132	19	to	to	ADP
ijassa-878	132	20	the	the	DET
ijassa-878	132	21	optimization	optimization	NOUN
ijassa-878	132	22	problem	problem	NOUN
ijassa-878	132	23	a.	a.	NOUN
ijassa-878	132	24	in	in	ADP
ijassa-878	132	25	particular	particular	ADJ
ijassa-878	132	26	,	,	PUNCT
ijassa-878	132	27	under	under	ADP
ijassa-878	132	28	the	the	DET
ijassa-878	132	29	conditions	condition	NOUN
ijassa-878	132	30	of	of	ADP
ijassa-878	132	31	theorem	theorem	NOUN
ijassa-878	132	32	2.1	2.1	NUM
ijassa-878	132	33	,	,	PUNCT
ijassa-878	132	34	a	a	DET
ijassa-878	132	35	solution	solution	NOUN
ijassa-878	132	36	to	to	ADP
ijassa-878	132	37	the	the	DET
ijassa-878	132	38	initial	initial	ADJ
ijassa-878	132	39	-	-	PUNCT
ijassa-878	132	40	boundary	boundary	NOUN
ijassa-878	132	41	value	value	NOUN
ijassa-878	132	42	problem	problem	NOUN
ijassa-878	132	43	(	(	PUNCT
ijassa-878	132	44	2.1)-(2.3	2.1)-(2.3	NUM
ijassa-878	132	45	)	)	PUNCT
ijassa-878	132	46	exists	exist	VERB
ijassa-878	132	47	and	and	CCONJ
ijassa-878	132	48	is	be	AUX
ijassa-878	132	49	a	a	DET
ijassa-878	132	50	solution	solution	NOUN
ijassa-878	132	51	to	to	ADP
ijassa-878	132	52	the	the	DET
ijassa-878	132	53	corresponding	corresponding	ADJ
ijassa-878	132	54	problem	problem	NOUN
ijassa-878	132	55	a.	a.	NOUN
ijassa-878	132	56	in	in	ADP
ijassa-878	132	57	the	the	DET
ijassa-878	132	58	general	general	ADJ
ijassa-878	132	59	copyright	copyright	NOUN
ijassa-878	132	60	©	©	PROPN
ijassa-878	132	61	2020	2020	NUM
ijassa-878	132	62	assa	assa	NOUN
ijassa-878	132	63	.	.	PUNCT
ijassa-878	133	1	adv	adv	PROPN
ijassa-878	133	2	syst	syst	PROPN
ijassa-878	133	3	sci	sci	PROPN
ijassa-878	133	4	appl	appl	PROPN
ijassa-878	133	5	(	(	PUNCT
ijassa-878	133	6	2020	2020	NUM
ijassa-878	133	7	)	)	PUNCT
ijassa-878	133	8	numerical	numerical	ADJ
ijassa-878	133	9	methods	method	NOUN
ijassa-878	133	10	for	for	ADP
ijassa-878	133	11	functional	functional	ADJ
ijassa-878	133	12	differential	differential	ADJ
ijassa-878	133	13	equations	equation	NOUN
ijassa-878	133	14	61	61	NUM
ijassa-878	133	15	case	case	NOUN
ijassa-878	133	16	,	,	PUNCT
ijassa-878	133	17	the	the	DET
ijassa-878	133	18	converse	converse	NOUN
ijassa-878	133	19	statement	statement	NOUN
ijassa-878	133	20	to	to	PART
ijassa-878	133	21	proposition	proposition	VERB
ijassa-878	133	22	3.1	3.1	NUM
ijassa-878	133	23	is	be	AUX
ijassa-878	133	24	false	false	ADJ
ijassa-878	133	25	,	,	PUNCT
ijassa-878	133	26	but	but	CCONJ
ijassa-878	133	27	,	,	PUNCT
ijassa-878	133	28	nevertheless	nevertheless	ADV
ijassa-878	133	29	,	,	PUNCT
ijassa-878	133	30	taking	take	VERB
ijassa-878	133	31	into	into	ADP
ijassa-878	133	32	account	account	NOUN
ijassa-878	133	33	the	the	DET
ijassa-878	133	34	uniqueness	uniqueness	NOUN
ijassa-878	133	35	theorem	theorem	NOUN
ijassa-878	133	36	and	and	CCONJ
ijassa-878	133	37	also	also	ADV
ijassa-878	133	38	the	the	DET
ijassa-878	133	39	stability	stability	NOUN
ijassa-878	133	40	theorem	theorem	NOUN
ijassa-878	133	41	of	of	ADP
ijassa-878	133	42	the	the	DET
ijassa-878	133	43	solution	solution	NOUN
ijassa-878	133	44	,	,	PUNCT
ijassa-878	133	45	in	in	ADP
ijassa-878	133	46	the	the	DET
ijassa-878	133	47	case	case	NOUN
ijassa-878	133	48	of	of	ADP
ijassa-878	133	49	successful	successful	ADJ
ijassa-878	133	50	construction	construction	NOUN
ijassa-878	133	51	of	of	ADP
ijassa-878	133	52	a	a	DET
ijassa-878	133	53	numerical	numerical	ADJ
ijassa-878	133	54	solution	solution	NOUN
ijassa-878	133	55	,	,	PUNCT
ijassa-878	133	56	we	we	PRON
ijassa-878	133	57	can	can	AUX
ijassa-878	133	58	speak	speak	VERB
ijassa-878	133	59	with	with	ADP
ijassa-878	133	60	high	high	ADJ
ijassa-878	133	61	confidence	confidence	NOUN
ijassa-878	133	62	about	about	ADP
ijassa-878	133	63	constructing	construct	VERB
ijassa-878	133	64	a	a	DET
ijassa-878	133	65	solution	solution	NOUN
ijassa-878	133	66	close	close	ADV
ijassa-878	133	67	to	to	ADP
ijassa-878	133	68	analytical	analytical	ADJ
ijassa-878	133	69	one	one	NUM
ijassa-878	133	70	.	.	PUNCT
ijassa-878	134	1	the	the	DET
ijassa-878	134	2	proposed	propose	VERB
ijassa-878	134	3	variational	variational	ADJ
ijassa-878	134	4	approach	approach	NOUN
ijassa-878	134	5	to	to	ADP
ijassa-878	134	6	constructing	construct	VERB
ijassa-878	134	7	solutions	solution	NOUN
ijassa-878	134	8	of	of	ADP
ijassa-878	134	9	the	the	DET
ijassa-878	134	10	basic	basic	ADJ
ijassa-878	134	11	initial	initial	ADJ
ijassa-878	134	12	-	-	PUNCT
ijassa-878	134	13	boundary	boundary	NOUN
ijassa-878	134	14	value	value	NOUN
ijassa-878	134	15	problem	problem	NOUN
ijassa-878	134	16	lies	lie	VERB
ijassa-878	134	17	at	at	ADP
ijassa-878	134	18	the	the	DET
ijassa-878	134	19	basis	basis	NOUN
ijassa-878	134	20	of	of	ADP
ijassa-878	134	21	the	the	DET
ijassa-878	134	22	numerical	numerical	ADJ
ijassa-878	134	23	implementation	implementation	NOUN
ijassa-878	134	24	of	of	ADP
ijassa-878	134	25	such	such	ADJ
ijassa-878	134	26	solutions	solution	NOUN
ijassa-878	134	27	.	.	PUNCT
ijassa-878	135	1	the	the	DET
ijassa-878	135	2	numerical	numerical	ADJ
ijassa-878	135	3	methods	method	NOUN
ijassa-878	135	4	themselves	themselves	PRON
ijassa-878	135	5	are	be	AUX
ijassa-878	135	6	based	base	VERB
ijassa-878	135	7	on	on	ADP
ijassa-878	135	8	the	the	DET
ijassa-878	135	9	ritz	ritz	PROPN
ijassa-878	135	10	method	method	NOUN
ijassa-878	135	11	and	and	CCONJ
ijassa-878	135	12	spline	spline	NOUN
ijassa-878	135	13	collocation	collocation	NOUN
ijassa-878	135	14	constructions	construction	NOUN
ijassa-878	135	15	and	and	CCONJ
ijassa-878	135	16	were	be	AUX
ijassa-878	135	17	implemented	implement	VERB
ijassa-878	135	18	in	in	ADP
ijassa-878	135	19	[	[	X
ijassa-878	135	20	23	23	NUM
ijassa-878	135	21	,	,	PUNCT
ijassa-878	135	22	26	26	NUM
ijassa-878	135	23	]	]	PUNCT
ijassa-878	135	24	.	.	PUNCT
ijassa-878	136	1	in	in	ADP
ijassa-878	136	2	order	order	NOUN
ijassa-878	136	3	to	to	PART
ijassa-878	136	4	solve	solve	VERB
ijassa-878	136	5	the	the	DET
ijassa-878	136	6	problem	problem	NOUN
ijassa-878	136	7	of	of	ADP
ijassa-878	136	8	the	the	DET
ijassa-878	136	9	class	class	NOUN
ijassa-878	136	10	under	under	ADP
ijassa-878	136	11	consideration	consideration	NOUN
ijassa-878	136	12	,	,	PUNCT
ijassa-878	136	13	the	the	DET
ijassa-878	136	14	trajectories	trajectory	NOUN
ijassa-878	136	15	of	of	ADP
ijassa-878	136	16	the	the	DET
ijassa-878	136	17	system	system	NOUN
ijassa-878	136	18	are	be	AUX
ijassa-878	136	19	discretized	discretize	VERB
ijassa-878	136	20	on	on	ADP
ijassa-878	136	21	a	a	DET
ijassa-878	136	22	grid	grid	NOUN
ijassa-878	136	23	with	with	ADP
ijassa-878	136	24	a	a	DET
ijassa-878	136	25	constant	constant	ADJ
ijassa-878	136	26	step	step	NOUN
ijassa-878	136	27	,	,	PUNCT
ijassa-878	136	28	and	and	CCONJ
ijassa-878	136	29	a	a	DET
ijassa-878	136	30	generalized	generalized	ADJ
ijassa-878	136	31	residual	residual	ADJ
ijassa-878	136	32	functional	functional	NOUN
ijassa-878	136	33	is	be	AUX
ijassa-878	136	34	formulated	formulate	VERB
ijassa-878	136	35	that	that	PRON
ijassa-878	136	36	includes	include	VERB
ijassa-878	136	37	both	both	CCONJ
ijassa-878	136	38	the	the	DET
ijassa-878	136	39	weighted	weight	VERB
ijassa-878	136	40	residual	residual	ADJ
ijassa-878	136	41	of	of	ADP
ijassa-878	136	42	the	the	DET
ijassa-878	136	43	original	original	ADJ
ijassa-878	136	44	differential	differential	NOUN
ijassa-878	136	45	equation	equation	NOUN
ijassa-878	136	46	and	and	CCONJ
ijassa-878	136	47	the	the	DET
ijassa-878	136	48	residual	residual	NOUN
ijassa-878	136	49	of	of	ADP
ijassa-878	136	50	the	the	DET
ijassa-878	136	51	boundary	boundary	ADJ
ijassa-878	136	52	conditions	condition	NOUN
ijassa-878	136	53	.	.	PUNCT
ijassa-878	137	1	a	a	DET
ijassa-878	137	2	spline	spline	ADJ
ijassa-878	137	3	differentiation	differentiation	NOUN
ijassa-878	137	4	technique	technique	NOUN
ijassa-878	137	5	is	be	AUX
ijassa-878	137	6	used	use	VERB
ijassa-878	137	7	to	to	PART
ijassa-878	137	8	evaluate	evaluate	VERB
ijassa-878	137	9	the	the	DET
ijassa-878	137	10	derivatives	derivative	NOUN
ijassa-878	137	11	of	of	ADP
ijassa-878	137	12	the	the	DET
ijassa-878	137	13	desired	desire	VERB
ijassa-878	137	14	trajectories	trajectory	NOUN
ijassa-878	137	15	of	of	ADP
ijassa-878	137	16	the	the	DET
ijassa-878	137	17	system	system	NOUN
ijassa-878	137	18	,	,	PUNCT
ijassa-878	137	19	based	base	VERB
ijassa-878	137	20	on	on	ADP
ijassa-878	137	21	two	two	NUM
ijassa-878	137	22	spline	spline	ADJ
ijassa-878	137	23	approximation	approximation	NOUN
ijassa-878	137	24	designs	design	NOUN
ijassa-878	137	25	:	:	PUNCT
ijassa-878	137	26	using	use	VERB
ijassa-878	137	27	cubic	cubic	ADJ
ijassa-878	137	28	natural	natural	ADJ
ijassa-878	137	29	splines	spline	NOUN
ijassa-878	137	30	and	and	CCONJ
ijassa-878	137	31	using	use	VERB
ijassa-878	137	32	a	a	DET
ijassa-878	137	33	special	special	ADJ
ijassa-878	137	34	type	type	NOUN
ijassa-878	137	35	of	of	ADP
ijassa-878	137	36	spline	spline	NOUN
ijassa-878	137	37	whose	whose	DET
ijassa-878	137	38	second	second	ADJ
ijassa-878	137	39	derivatives	derivative	NOUN
ijassa-878	137	40	at	at	ADP
ijassa-878	137	41	the	the	DET
ijassa-878	137	42	edges	edge	NOUN
ijassa-878	137	43	are	be	AUX
ijassa-878	137	44	also	also	ADV
ijassa-878	137	45	controlled	control	VERB
ijassa-878	137	46	using	use	VERB
ijassa-878	137	47	optimized	optimize	VERB
ijassa-878	137	48	parameters	parameter	NOUN
ijassa-878	137	49	.	.	PUNCT
ijassa-878	138	1	3.1	3.1	NUM
ijassa-878	138	2	.	.	PUNCT
ijassa-878	138	3	software	software	NOUN
ijassa-878	138	4	package	package	NOUN
ijassa-878	138	5	optcon	optcon	NOUN
ijassa-878	138	6	-	-	PUNCT
ijassa-878	138	7	f	f	PROPN
ijassa-878	138	8	a	a	DET
ijassa-878	138	9	set	set	NOUN
ijassa-878	138	10	of	of	ADP
ijassa-878	138	11	algorithms	algorithm	NOUN
ijassa-878	138	12	for	for	ADP
ijassa-878	138	13	local	local	ADJ
ijassa-878	138	14	and	and	CCONJ
ijassa-878	138	15	global	global	ADJ
ijassa-878	138	16	optimization	optimization	NOUN
ijassa-878	138	17	was	be	AUX
ijassa-878	138	18	implemented	implement	VERB
ijassa-878	138	19	for	for	ADP
ijassa-878	138	20	solving	solve	VERB
ijassa-878	138	21	the	the	DET
ijassa-878	138	22	stated	state	VERB
ijassa-878	138	23	finite	finite	ADJ
ijassa-878	138	24	-	-	ADJ
ijassa-878	138	25	dimensional	dimensional	ADJ
ijassa-878	138	26	problems	problem	NOUN
ijassa-878	138	27	.	.	PUNCT
ijassa-878	139	1	the	the	DET
ijassa-878	139	2	used	use	VERB
ijassa-878	139	3	technology	technology	NOUN
ijassa-878	139	4	includes	include	VERB
ijassa-878	139	5	:	:	PUNCT
ijassa-878	139	6	an	an	DET
ijassa-878	139	7	algorithm	algorithm	NOUN
ijassa-878	139	8	for	for	ADP
ijassa-878	139	9	sequentially	sequentially	ADV
ijassa-878	139	10	increasing	increase	VERB
ijassa-878	139	11	the	the	DET
ijassa-878	139	12	accuracy	accuracy	NOUN
ijassa-878	139	13	of	of	ADP
ijassa-878	139	14	approximation	approximation	NOUN
ijassa-878	139	15	by	by	ADP
ijassa-878	139	16	multiplying	multiply	VERB
ijassa-878	139	17	the	the	DET
ijassa-878	139	18	number	number	NOUN
ijassa-878	139	19	of	of	ADP
ijassa-878	139	20	nodes	node	NOUN
ijassa-878	139	21	in	in	ADP
ijassa-878	139	22	the	the	DET
ijassa-878	139	23	grid	grid	NOUN
ijassa-878	139	24	of	of	ADP
ijassa-878	139	25	the	the	DET
ijassa-878	139	26	discretization	discretization	NOUN
ijassa-878	139	27	;	;	PUNCT
ijassa-878	139	28	algorithms	algorithm	NOUN
ijassa-878	139	29	for	for	ADP
ijassa-878	139	30	the	the	DET
ijassa-878	139	31	difference	difference	NOUN
ijassa-878	139	32	evaluation	evaluation	NOUN
ijassa-878	139	33	of	of	ADP
ijassa-878	139	34	the	the	DET
ijassa-878	139	35	derivatives	derivative	NOUN
ijassa-878	139	36	of	of	ADP
ijassa-878	139	37	the	the	DET
ijassa-878	139	38	functional	functional	ADJ
ijassa-878	139	39	from	from	ADP
ijassa-878	139	40	the	the	DET
ijassa-878	139	41	first	first	ADJ
ijassa-878	139	42	to	to	ADP
ijassa-878	139	43	the	the	DET
ijassa-878	139	44	sixth	sixth	ADJ
ijassa-878	139	45	degree	degree	NOUN
ijassa-878	139	46	of	of	ADP
ijassa-878	139	47	accuracy	accuracy	NOUN
ijassa-878	139	48	inclusive	inclusive	NOUN
ijassa-878	139	49	;	;	PUNCT
ijassa-878	139	50	method	method	NOUN
ijassa-878	139	51	of	of	ADP
ijassa-878	139	52	successively	successively	ADV
ijassa-878	139	53	increasing	increase	VERB
ijassa-878	139	54	the	the	DET
ijassa-878	139	55	precision	precision	NOUN
ijassa-878	139	56	of	of	ADP
ijassa-878	139	57	spline	spline	NOUN
ijassa-878	139	58	differentiation	differentiation	NOUN
ijassa-878	139	59	.	.	PUNCT
ijassa-878	140	1	the	the	DET
ijassa-878	140	2	corresponding	correspond	VERB
ijassa-878	140	3	software	software	NOUN
ijassa-878	140	4	complex	complex	NOUN
ijassa-878	140	5	(	(	PUNCT
ijassa-878	140	6	sc	sc	NOUN
ijassa-878	140	7	)	)	PUNCT
ijassa-878	140	8	optcon	optcon	NOUN
ijassa-878	140	9	-	-	PUNCT
ijassa-878	140	10	f	f	PROPN
ijassa-878	140	11	was	be	AUX
ijassa-878	140	12	implemented	implement	VERB
ijassa-878	140	13	in	in	ADP
ijassa-878	140	14	the	the	DET
ijassa-878	140	15	language	language	NOUN
ijassa-878	140	16	c	c	NOUN
ijassa-878	140	17	under	under	ADP
ijassa-878	140	18	the	the	DET
ijassa-878	140	19	control	control	NOUN
ijassa-878	140	20	of	of	ADP
ijassa-878	140	21	operating	operating	NOUN
ijassa-878	140	22	systems	system	NOUN
ijassa-878	140	23	os	os	PROPN
ijassa-878	140	24	windows	window	NOUN
ijassa-878	140	25	,	,	PUNCT
ijassa-878	140	26	os	os	NOUN
ijassa-878	140	27	linux	linux	PROPN
ijassa-878	140	28	and	and	CCONJ
ijassa-878	140	29	mac	mac	PROPN
ijassa-878	140	30	os	os	NOUN
ijassa-878	140	31	using	use	VERB
ijassa-878	140	32	compilers	compiler	NOUN
ijassa-878	140	33	bcc	bcc	PROPN
ijassa-878	140	34	5.5	5.5	NUM
ijassa-878	140	35	and	and	CCONJ
ijassa-878	140	36	gcc	gcc	NOUN
ijassa-878	140	37	.	.	PUNCT
ijassa-878	141	1	sc	sc	PROPN
ijassa-878	141	2	was	be	AUX
ijassa-878	141	3	designed	design	VERB
ijassa-878	141	4	to	to	PART
ijassa-878	141	5	obtain	obtain	VERB
ijassa-878	141	6	a	a	DET
ijassa-878	141	7	numerical	numerical	ADJ
ijassa-878	141	8	solution	solution	NOUN
ijassa-878	141	9	of	of	ADP
ijassa-878	141	10	boundary	boundary	ADJ
ijassa-878	141	11	value	value	NOUN
ijassa-878	141	12	problems	problem	NOUN
ijassa-878	141	13	,	,	PUNCT
ijassa-878	141	14	parametric	parametric	ADJ
ijassa-878	141	15	identification	identification	NOUN
ijassa-878	141	16	problems	problem	NOUN
ijassa-878	141	17	and	and	CCONJ
ijassa-878	141	18	optimal	optimal	ADJ
ijassa-878	141	19	control	control	NOUN
ijassa-878	141	20	for	for	ADP
ijassa-878	141	21	dynamical	dynamical	ADJ
ijassa-878	141	22	systems	system	NOUN
ijassa-878	141	23	described	describe	VERB
ijassa-878	141	24	by	by	ADP
ijassa-878	141	25	fdept	fdept	PROPN
ijassa-878	141	26	[	[	X
ijassa-878	141	27	27	27	NUM
ijassa-878	141	28	]	]	PUNCT
ijassa-878	141	29	.	.	PUNCT
ijassa-878	142	1	among	among	ADP
ijassa-878	142	2	the	the	DET
ijassa-878	142	3	local	local	ADJ
ijassa-878	142	4	algorithms	algorithm	NOUN
ijassa-878	142	5	included	include	VERB
ijassa-878	142	6	in	in	ADP
ijassa-878	142	7	the	the	DET
ijassa-878	142	8	sc	sc	PROPN
ijassa-878	142	9	optcon	optcon	NOUN
ijassa-878	142	10	-	-	PUNCT
ijassa-878	142	11	f	f	NOUN
ijassa-878	142	12	there	there	PRON
ijassa-878	142	13	are	be	VERB
ijassa-878	142	14	:	:	PUNCT
ijassa-878	142	15	1	1	NUM
ijassa-878	142	16	)	)	PUNCT
ijassa-878	142	17	partan	partan	ADJ
ijassa-878	142	18	method	method	NOUN
ijassa-878	142	19	;	;	PUNCT
ijassa-878	142	20	2	2	X
ijassa-878	142	21	)	)	PUNCT
ijassa-878	142	22	powell	powell	PROPN
ijassa-878	142	23	-	-	PUNCT
ijassa-878	142	24	brent	brent	PROPN
ijassa-878	142	25	’s	’s	PART
ijassa-878	142	26	method	method	NOUN
ijassa-878	142	27	;	;	PUNCT
ijassa-878	142	28	3	3	X
ijassa-878	142	29	)	)	PUNCT
ijassa-878	142	30	gradient	gradient	NOUN
ijassa-878	142	31	method	method	NOUN
ijassa-878	142	32	of	of	ADP
ijassa-878	142	33	confidence	confidence	NOUN
ijassa-878	142	34	intervals	interval	NOUN
ijassa-878	142	35	;	;	PUNCT
ijassa-878	142	36	4	4	X
ijassa-878	142	37	)	)	PUNCT
ijassa-878	142	38	barzilaiborwein	barzilaiborwein	NOUN
ijassa-878	142	39	method	method	NOUN
ijassa-878	142	40	;	;	PUNCT
ijassa-878	142	41	5	5	X
ijassa-878	142	42	)	)	PUNCT
ijassa-878	142	43	newton	newton	PROPN
ijassa-878	142	44	’s	’s	PART
ijassa-878	142	45	method	method	NOUN
ijassa-878	142	46	with	with	ADP
ijassa-878	142	47	the	the	DET
ijassa-878	142	48	difference	difference	NOUN
ijassa-878	142	49	estimate	estimate	NOUN
ijassa-878	142	50	of	of	ADP
ijassa-878	142	51	the	the	DET
ijassa-878	142	52	hessian	hessian	ADJ
ijassa-878	142	53	matrix	matrix	NOUN
ijassa-878	142	54	;	;	PUNCT
ijassa-878	142	55	6	6	NUM
ijassa-878	142	56	)	)	PUNCT
ijassa-878	142	57	generalized	generalize	VERB
ijassa-878	142	58	quasi	quasi	ADJ
ijassa-878	142	59	-	-	ADJ
ijassa-878	142	60	newtonian	newtonian	ADJ
ijassa-878	142	61	method	method	NOUN
ijassa-878	142	62	;	;	PUNCT
ijassa-878	142	63	7	7	X
ijassa-878	142	64	)	)	PUNCT
ijassa-878	142	65	direct	direct	ADJ
ijassa-878	142	66	-	-	PUNCT
ijassa-878	142	67	dual	dual	ADJ
ijassa-878	142	68	method	method	NOUN
ijassa-878	142	69	of	of	ADP
ijassa-878	142	70	gradient	gradient	ADJ
ijassa-878	142	71	descent	descent	NOUN
ijassa-878	142	72	;	;	PUNCT
ijassa-878	142	73	8)	8)	NUM
ijassa-878	142	74	differential	differential	NOUN
ijassa-878	142	75	euler	euler	NOUN
ijassa-878	142	76	optimization	optimization	NOUN
ijassa-878	142	77	method	method	NOUN
ijassa-878	142	78	of	of	ADP
ijassa-878	142	79	the	the	DET
ijassa-878	142	80	2nd	2nd	ADJ
ijassa-878	142	81	order	order	NOUN
ijassa-878	142	82	;	;	PUNCT
ijassa-878	142	83	9	9	X
ijassa-878	142	84	)	)	PUNCT
ijassa-878	142	85	differential	differential	NOUN
ijassa-878	142	86	adams	adams	PROPN
ijassa-878	142	87	optimization	optimization	NOUN
ijassa-878	142	88	method	method	NOUN
ijassa-878	142	89	of	of	ADP
ijassa-878	142	90	the	the	DET
ijassa-878	142	91	4th	4th	ADJ
ijassa-878	142	92	order	order	NOUN
ijassa-878	142	93	and	and	CCONJ
ijassa-878	142	94	others	other	NOUN
ijassa-878	142	95	.	.	PUNCT
ijassa-878	143	1	as	as	ADP
ijassa-878	143	2	algorithms	algorithm	NOUN
ijassa-878	143	3	of	of	ADP
ijassa-878	143	4	“	"	PUNCT
ijassa-878	143	5	closers	closer	NOUN
ijassa-878	143	6	”	"	PUNCT
ijassa-878	143	7	there	there	PRON
ijassa-878	143	8	are	be	VERB
ijassa-878	143	9	:	:	PUNCT
ijassa-878	143	10	1	1	NUM
ijassa-878	143	11	)	)	PUNCT
ijassa-878	143	12	adaptive	adaptive	ADJ
ijassa-878	143	13	modification	modification	NOUN
ijassa-878	143	14	of	of	ADP
ijassa-878	143	15	the	the	DET
ijassa-878	143	16	hooke	hooke	NOUN
ijassa-878	143	17	-	-	PUNCT
ijassa-878	143	18	jeeves	jeeve	NOUN
ijassa-878	143	19	method	method	NOUN
ijassa-878	143	20	;	;	PUNCT
ijassa-878	143	21	2	2	X
ijassa-878	143	22	)	)	PUNCT
ijassa-878	143	23	stochastic	stochastic	ADJ
ijassa-878	143	24	search	search	NOUN
ijassa-878	143	25	methods	method	NOUN
ijassa-878	143	26	in	in	ADP
ijassa-878	143	27	random	random	ADJ
ijassa-878	143	28	subspaces	subspace	NOUN
ijassa-878	143	29	of	of	ADP
ijassa-878	143	30	the	the	DET
ijassa-878	143	31	indicated	indicate	VERB
ijassa-878	143	32	(	(	PUNCT
ijassa-878	143	33	2	2	NUM
ijassa-878	143	34	,	,	PUNCT
ijassa-878	143	35	3	3	NUM
ijassa-878	143	36	,	,	PUNCT
ijassa-878	143	37	4	4	NUM
ijassa-878	143	38	,	,	PUNCT
ijassa-878	143	39	or	or	CCONJ
ijassa-878	143	40	5	5	NUM
ijassa-878	143	41	)	)	PUNCT
ijassa-878	143	42	dimension	dimension	NOUN
ijassa-878	143	43	;	;	PUNCT
ijassa-878	143	44	3	3	X
ijassa-878	143	45	)	)	PUNCT
ijassa-878	143	46	local	local	ADJ
ijassa-878	143	47	version	version	NOUN
ijassa-878	143	48	of	of	ADP
ijassa-878	143	49	the	the	DET
ijassa-878	143	50	curvilinear	curvilinear	PROPN
ijassa-878	143	51	search	search	NOUN
ijassa-878	143	52	method	method	NOUN
ijassa-878	143	53	.	.	PUNCT
ijassa-878	144	1	non	non	ADJ
ijassa-878	144	2	-	-	ADJ
ijassa-878	144	3	local	local	ADJ
ijassa-878	144	4	algorithms	algorithm	NOUN
ijassa-878	144	5	that	that	PRON
ijassa-878	144	6	form	form	VERB
ijassa-878	144	7	the	the	DET
ijassa-878	144	8	basis	basis	NOUN
ijassa-878	144	9	of	of	ADP
ijassa-878	144	10	the	the	DET
ijassa-878	144	11	sc	sc	PROPN
ijassa-878	144	12	are	be	AUX
ijassa-878	144	13	:	:	PUNCT
ijassa-878	144	14	1	1	X
ijassa-878	144	15	)	)	PUNCT
ijassa-878	144	16	“	"	PUNCT
ijassa-878	144	17	parabolic	parabolic	ADJ
ijassa-878	144	18	”	"	PUNCT
ijassa-878	144	19	method	method	NOUN
ijassa-878	144	20	–	–	PUNCT
ijassa-878	144	21	a	a	DET
ijassa-878	144	22	combination	combination	NOUN
ijassa-878	144	23	of	of	ADP
ijassa-878	144	24	coordinate	coordinate	NOUN
ijassa-878	144	25	-	-	PUNCT
ijassa-878	144	26	wise	wise	ADJ
ijassa-878	144	27	descent	descent	NOUN
ijassa-878	144	28	with	with	ADP
ijassa-878	144	29	a	a	DET
ijassa-878	144	30	periodic	periodic	ADJ
ijassa-878	144	31	multistart	multistart	NOUN
ijassa-878	144	32	and	and	CCONJ
ijassa-878	144	33	a	a	DET
ijassa-878	144	34	non	non	ADJ
ijassa-878	144	35	-	-	ADJ
ijassa-878	144	36	local	local	ADJ
ijassa-878	144	37	onedimensional	onedimensional	ADJ
ijassa-878	144	38	search	search	NOUN
ijassa-878	144	39	by	by	ADP
ijassa-878	144	40	the	the	DET
ijassa-878	144	41	parabola	parabola	PROPN
ijassa-878	144	42	algorithm	algorithm	PROPN
ijassa-878	144	43	;	;	PUNCT
ijassa-878	144	44	2	2	X
ijassa-878	144	45	)	)	PUNCT
ijassa-878	144	46	non	non	ADJ
ijassa-878	144	47	-	-	ADJ
ijassa-878	144	48	local	local	ADJ
ijassa-878	144	49	method	method	NOUN
ijassa-878	144	50	of	of	ADP
ijassa-878	144	51	curvilinear	curvilinear	PROPN
ijassa-878	144	52	search	search	NOUN
ijassa-878	144	53	;	;	PUNCT
ijassa-878	144	54	3	3	X
ijassa-878	144	55	)	)	PUNCT
ijassa-878	144	56	luus	luus	NOUN
ijassa-878	144	57	-	-	PUNCT
ijassa-878	144	58	jaakola	jaakola	PROPN
ijassa-878	144	59	method	method	NOUN
ijassa-878	144	60	;	;	PUNCT
ijassa-878	144	61	4	4	X
ijassa-878	144	62	)	)	PUNCT
ijassa-878	144	63	“	"	PUNCT
ijassa-878	144	64	forest	forest	NOUN
ijassa-878	144	65	”	"	PUNCT
ijassa-878	144	66	method	method	NOUN
ijassa-878	144	67	–	–	PUNCT
ijassa-878	144	68	multivariant	multivariant	NOUN
ijassa-878	144	69	adaptive	adaptive	ADJ
ijassa-878	144	70	method	method	NOUN
ijassa-878	144	71	of	of	ADP
ijassa-878	144	72	random	random	ADJ
ijassa-878	144	73	multistart	multistart	NOUN
ijassa-878	144	74	and	and	CCONJ
ijassa-878	144	75	others	other	NOUN
ijassa-878	144	76	.	.	PUNCT
ijassa-878	145	1	as	as	ADP
ijassa-878	145	2	part	part	NOUN
ijassa-878	145	3	of	of	ADP
ijassa-878	145	4	the	the	DET
ijassa-878	145	5	work	work	NOUN
ijassa-878	145	6	on	on	ADP
ijassa-878	145	7	the	the	DET
ijassa-878	145	8	sc	sc	PROPN
ijassa-878	145	9	,	,	PUNCT
ijassa-878	145	10	taking	take	VERB
ijassa-878	145	11	into	into	ADP
ijassa-878	145	12	account	account	NOUN
ijassa-878	145	13	the	the	DET
ijassa-878	145	14	specifics	specific	NOUN
ijassa-878	145	15	related	relate	VERB
ijassa-878	145	16	to	to	ADP
ijassa-878	145	17	the	the	DET
ijassa-878	145	18	qualitative	qualitative	ADJ
ijassa-878	145	19	properties	property	NOUN
ijassa-878	145	20	of	of	ADP
ijassa-878	145	21	fdept	fdept	PROPN
ijassa-878	145	22	,	,	PUNCT
ijassa-878	145	23	the	the	DET
ijassa-878	145	24	following	follow	VERB
ijassa-878	145	25	key	key	ADJ
ijassa-878	145	26	results	result	NOUN
ijassa-878	145	27	were	be	AUX
ijassa-878	145	28	obtained	obtain	VERB
ijassa-878	145	29	:	:	PUNCT
ijassa-878	145	30	•	•	NUM
ijassa-878	145	31	algorithm	algorithm	NOUN
ijassa-878	145	32	of	of	ADP
ijassa-878	145	33	construction	construction	NOUN
ijassa-878	145	34	of	of	ADP
ijassa-878	145	35	“	"	PUNCT
ijassa-878	145	36	controllable	controllable	ADJ
ijassa-878	145	37	splines	spline	NOUN
ijassa-878	145	38	”	"	PUNCT
ijassa-878	145	39	has	have	AUX
ijassa-878	145	40	been	be	AUX
ijassa-878	145	41	developed	develop	VERB
ijassa-878	145	42	.	.	PUNCT
ijassa-878	146	1	the	the	DET
ijassa-878	146	2	problem	problem	NOUN
ijassa-878	146	3	of	of	ADP
ijassa-878	146	4	obtaining	obtain	VERB
ijassa-878	146	5	a	a	DET
ijassa-878	146	6	high	high	ADJ
ijassa-878	146	7	-	-	PUNCT
ijassa-878	146	8	precision	precision	NOUN
ijassa-878	146	9	approximation	approximation	NOUN
ijassa-878	146	10	to	to	ADP
ijassa-878	146	11	the	the	DET
ijassa-878	146	12	derivative	derivative	NOUN
ijassa-878	146	13	of	of	ADP
ijassa-878	146	14	a	a	DET
ijassa-878	146	15	function	function	NOUN
ijassa-878	146	16	of	of	ADP
ijassa-878	146	17	one	one	NUM
ijassa-878	146	18	variable	variable	NOUN
ijassa-878	146	19	over	over	ADP
ijassa-878	146	20	a	a	DET
ijassa-878	146	21	set	set	NOUN
ijassa-878	146	22	of	of	ADP
ijassa-878	146	23	values	value	NOUN
ijassa-878	146	24	of	of	ADP
ijassa-878	146	25	the	the	DET
ijassa-878	146	26	function	function	NOUN
ijassa-878	146	27	itself	itself	PRON
ijassa-878	146	28	,	,	PUNCT
ijassa-878	146	29	defined	define	VERB
ijassa-878	146	30	on	on	ADP
ijassa-878	146	31	a	a	DET
ijassa-878	146	32	fixed	fix	VERB
ijassa-878	146	33	grid	grid	NOUN
ijassa-878	146	34	,	,	PUNCT
ijassa-878	146	35	was	be	AUX
ijassa-878	146	36	investigated	investigate	VERB
ijassa-878	146	37	.	.	PUNCT
ijassa-878	147	1	the	the	DET
ijassa-878	147	2	performed	perform	VERB
ijassa-878	147	3	computational	computational	ADJ
ijassa-878	147	4	experiments	experiment	NOUN
ijassa-878	147	5	showed	show	VERB
ijassa-878	147	6	that	that	SCONJ
ijassa-878	147	7	in	in	ADP
ijassa-878	147	8	order	order	NOUN
ijassa-878	147	9	to	to	PART
ijassa-878	147	10	achieve	achieve	VERB
ijassa-878	147	11	good	good	ADJ
ijassa-878	147	12	accuracy	accuracy	NOUN
ijassa-878	147	13	in	in	ADP
ijassa-878	147	14	estimating	estimate	VERB
ijassa-878	147	15	derived	derived	ADJ
ijassa-878	147	16	trajectories	trajectory	NOUN
ijassa-878	147	17	for	for	ADP
ijassa-878	147	18	fdept	fdept	NOUN
ijassa-878	147	19	systems	system	NOUN
ijassa-878	147	20	,	,	PUNCT
ijassa-878	147	21	it	it	PRON
ijassa-878	147	22	is	be	AUX
ijassa-878	147	23	not	not	PART
ijassa-878	147	24	possible	possible	ADJ
ijassa-878	147	25	to	to	PART
ijassa-878	147	26	use	use	VERB
ijassa-878	147	27	known	known	ADJ
ijassa-878	147	28	types	type	NOUN
ijassa-878	147	29	of	of	ADP
ijassa-878	147	30	splines	spline	NOUN
ijassa-878	147	31	(	(	PUNCT
ijassa-878	147	32	“	"	PUNCT
ijassa-878	147	33	natural	natural	ADJ
ijassa-878	147	34	”	"	PUNCT
ijassa-878	147	35	,	,	PUNCT
ijassa-878	147	36	with	with	ADP
ijassa-878	147	37	additional	additional	ADJ
ijassa-878	147	38	boundary	boundary	ADJ
ijassa-878	147	39	conditions	condition	NOUN
ijassa-878	147	40	,	,	PUNCT
ijassa-878	147	41	akima	akima	PROPN
ijassa-878	147	42	splines	spline	NOUN
ijassa-878	147	43	,	,	PUNCT
ijassa-878	147	44	etc	etc	X
ijassa-878	147	45	.	.	X
ijassa-878	147	46	)	)	PUNCT
ijassa-878	147	47	.	.	PUNCT
ijassa-878	148	1	the	the	DET
ijassa-878	148	2	proposed	propose	VERB
ijassa-878	148	3	algorithm	algorithm	NOUN
ijassa-878	148	4	is	be	AUX
ijassa-878	148	5	based	base	VERB
ijassa-878	148	6	on	on	ADP
ijassa-878	148	7	the	the	DET
ijassa-878	148	8	use	use	NOUN
ijassa-878	148	9	of	of	ADP
ijassa-878	148	10	derivatives	derivative	NOUN
ijassa-878	148	11	of	of	ADP
ijassa-878	148	12	cubic	cubic	ADJ
ijassa-878	148	13	spline	spline	NOUN
ijassa-878	148	14	functions	function	NOUN
ijassa-878	148	15	.	.	PUNCT
ijassa-878	149	1	•	•	NUM
ijassa-878	149	2	a	a	DET
ijassa-878	149	3	technology	technology	NOUN
ijassa-878	149	4	has	have	AUX
ijassa-878	149	5	been	be	AUX
ijassa-878	149	6	developed	develop	VERB
ijassa-878	149	7	for	for	ADP
ijassa-878	149	8	approximation	approximation	NOUN
ijassa-878	149	9	of	of	ADP
ijassa-878	149	10	general	general	ADJ
ijassa-878	149	11	fdept	fdept	NOUN
ijassa-878	149	12	systems	system	NOUN
ijassa-878	149	13	using	use	VERB
ijassa-878	149	14	a	a	DET
ijassa-878	149	15	finite	finite	ADJ
ijassa-878	149	16	-	-	ADJ
ijassa-878	149	17	dimensional	dimensional	ADJ
ijassa-878	149	18	unconditional	unconditional	ADJ
ijassa-878	149	19	minimization	minimization	NOUN
ijassa-878	149	20	problem	problem	NOUN
ijassa-878	149	21	.	.	PUNCT
ijassa-878	150	1	by	by	ADP
ijassa-878	150	2	analyzing	analyze	VERB
ijassa-878	150	3	the	the	DET
ijassa-878	150	4	copyright	copyright	NOUN
ijassa-878	150	5	©	©	PROPN
ijassa-878	150	6	2020	2020	NUM
ijassa-878	150	7	assa	assa	NOUN
ijassa-878	150	8	.	.	PUNCT
ijassa-878	151	1	adv	adv	PROPN
ijassa-878	151	2	syst	syst	PROPN
ijassa-878	151	3	sci	sci	PROPN
ijassa-878	151	4	appl	appl	PROPN
ijassa-878	151	5	(	(	PUNCT
ijassa-878	151	6	2020	2020	NUM
ijassa-878	151	7	)	)	PUNCT
ijassa-878	151	8	62	62	NUM
ijassa-878	151	9	a.	a.	NOUN
ijassa-878	151	10	beklaryan	beklaryan	ADJ
ijassa-878	151	11	behavior	behavior	NOUN
ijassa-878	151	12	of	of	ADP
ijassa-878	151	13	homeomorphisms	homeomorphisms	PROPN
ijassa-878	151	14	on	on	ADP
ijassa-878	151	15	the	the	DET
ijassa-878	151	16	initial	initial	ADJ
ijassa-878	151	17	(	(	PUNCT
ijassa-878	151	18	main	main	ADJ
ijassa-878	151	19	)	)	PUNCT
ijassa-878	151	20	time	time	NOUN
ijassa-878	151	21	interval	interval	NOUN
ijassa-878	151	22	,	,	PUNCT
ijassa-878	151	23	an	an	DET
ijassa-878	151	24	extended	extended	ADJ
ijassa-878	151	25	time	time	NOUN
ijassa-878	151	26	interval	interval	NOUN
ijassa-878	151	27	is	be	AUX
ijassa-878	151	28	calculated	calculate	VERB
ijassa-878	151	29	,	,	PUNCT
ijassa-878	151	30	for	for	ADP
ijassa-878	151	31	which	which	PRON
ijassa-878	151	32	the	the	DET
ijassa-878	151	33	discretized	discretized	ADJ
ijassa-878	151	34	grid	grid	NOUN
ijassa-878	151	35	is	be	AUX
ijassa-878	151	36	constructed	construct	VERB
ijassa-878	151	37	.	.	PUNCT
ijassa-878	152	1	to	to	PART
ijassa-878	152	2	approximate	approximate	VERB
ijassa-878	152	3	the	the	DET
ijassa-878	152	4	initial	initial	ADJ
ijassa-878	152	5	continuous	continuous	ADJ
ijassa-878	152	6	problem	problem	NOUN
ijassa-878	152	7	on	on	ADP
ijassa-878	152	8	a	a	DET
ijassa-878	152	9	fixed	fix	VERB
ijassa-878	152	10	grid	grid	NOUN
ijassa-878	152	11	over	over	ADP
ijassa-878	152	12	time	time	NOUN
ijassa-878	152	13	,	,	PUNCT
ijassa-878	152	14	the	the	DET
ijassa-878	152	15	ritz	ritz	PROPN
ijassa-878	152	16	method	method	NOUN
ijassa-878	152	17	is	be	AUX
ijassa-878	152	18	used	use	VERB
ijassa-878	152	19	:	:	PUNCT
ijassa-878	152	20	the	the	DET
ijassa-878	152	21	trajectories	trajectory	NOUN
ijassa-878	152	22	are	be	AUX
ijassa-878	152	23	approximated	approximate	VERB
ijassa-878	152	24	using	use	VERB
ijassa-878	152	25	controlled	control	VERB
ijassa-878	152	26	spline	spline	NOUN
ijassa-878	152	27	functions	function	NOUN
ijassa-878	152	28	,	,	PUNCT
ijassa-878	152	29	the	the	DET
ijassa-878	152	30	coefficients	coefficient	NOUN
ijassa-878	152	31	of	of	ADP
ijassa-878	152	32	which	which	PRON
ijassa-878	152	33	are	be	AUX
ijassa-878	152	34	selected	select	VERB
ijassa-878	152	35	by	by	ADP
ijassa-878	152	36	searching	search	VERB
ijassa-878	152	37	for	for	ADP
ijassa-878	152	38	the	the	DET
ijassa-878	152	39	minimum	minimum	NOUN
ijassa-878	152	40	of	of	ADP
ijassa-878	152	41	the	the	DET
ijassa-878	152	42	residual	residual	ADJ
ijassa-878	152	43	functional	functional	NOUN
ijassa-878	152	44	.	.	PUNCT
ijassa-878	153	1	•	•	NUM
ijassa-878	153	2	a	a	DET
ijassa-878	153	3	specialized	specialized	ADJ
ijassa-878	153	4	global	global	ADJ
ijassa-878	153	5	optimization	optimization	NOUN
ijassa-878	153	6	algorithm	algorithm	NOUN
ijassa-878	153	7	was	be	AUX
ijassa-878	153	8	developed	develop	VERB
ijassa-878	153	9	,	,	PUNCT
ijassa-878	153	10	based	base	VERB
ijassa-878	153	11	on	on	ADP
ijassa-878	153	12	the	the	DET
ijassa-878	153	13	idea	idea	NOUN
ijassa-878	153	14	of	of	ADP
ijassa-878	153	15	curvilinear	curvilinear	PROPN
ijassa-878	153	16	search	search	NOUN
ijassa-878	153	17	.	.	PUNCT
ijassa-878	154	1	to	to	PART
ijassa-878	154	2	search	search	VERB
ijassa-878	154	3	for	for	ADP
ijassa-878	154	4	the	the	DET
ijassa-878	154	5	minimum	minimum	NOUN
ijassa-878	154	6	of	of	ADP
ijassa-878	154	7	the	the	DET
ijassa-878	154	8	non	non	ADJ
ijassa-878	154	9	-	-	ADJ
ijassa-878	154	10	convex	convex	ADJ
ijassa-878	154	11	residual	residual	ADJ
ijassa-878	154	12	functional	functional	ADJ
ijassa-878	154	13	,	,	PUNCT
ijassa-878	154	14	a	a	DET
ijassa-878	154	15	specialized	specialized	ADJ
ijassa-878	154	16	global	global	ADJ
ijassa-878	154	17	optimization	optimization	NOUN
ijassa-878	154	18	algorithm	algorithm	NOUN
ijassa-878	154	19	has	have	AUX
ijassa-878	154	20	been	be	AUX
ijassa-878	154	21	developed	develop	VERB
ijassa-878	154	22	,	,	PUNCT
ijassa-878	154	23	based	base	VERB
ijassa-878	154	24	on	on	ADP
ijassa-878	154	25	the	the	DET
ijassa-878	154	26	idea	idea	NOUN
ijassa-878	154	27	of	of	ADP
ijassa-878	154	28	curvilinear	curvilinear	ADJ
ijassa-878	154	29	search	search	NOUN
ijassa-878	154	30	on	on	ADP
ijassa-878	154	31	the	the	DET
ijassa-878	154	32	reachable	reachable	ADJ
ijassa-878	154	33	set	set	NOUN
ijassa-878	154	34	of	of	ADP
ijassa-878	154	35	a	a	DET
ijassa-878	154	36	control	control	NOUN
ijassa-878	154	37	system	system	NOUN
ijassa-878	154	38	produced	produce	VERB
ijassa-878	154	39	using	use	VERB
ijassa-878	154	40	a	a	DET
ijassa-878	154	41	pair	pair	NOUN
ijassa-878	154	42	of	of	ADP
ijassa-878	154	43	randomly	randomly	ADV
ijassa-878	154	44	generated	generate	VERB
ijassa-878	154	45	“	"	PUNCT
ijassa-878	154	46	support	support	NOUN
ijassa-878	154	47	”	"	PUNCT
ijassa-878	154	48	controls	control	NOUN
ijassa-878	154	49	.	.	PUNCT
ijassa-878	155	1	using	use	VERB
ijassa-878	155	2	the	the	DET
ijassa-878	155	3	property	property	NOUN
ijassa-878	155	4	of	of	ADP
ijassa-878	155	5	connectedness	connectedness	NOUN
ijassa-878	155	6	,	,	PUNCT
ijassa-878	155	7	variations	variation	NOUN
ijassa-878	155	8	in	in	ADP
ijassa-878	155	9	the	the	DET
ijassa-878	155	10	space	space	NOUN
ijassa-878	155	11	of	of	ADP
ijassa-878	155	12	control	control	NOUN
ijassa-878	155	13	functions	function	NOUN
ijassa-878	155	14	that	that	PRON
ijassa-878	155	15	do	do	AUX
ijassa-878	155	16	not	not	PART
ijassa-878	155	17	violate	violate	VERB
ijassa-878	155	18	the	the	DET
ijassa-878	155	19	existing	exist	VERB
ijassa-878	155	20	constraints	constraint	NOUN
ijassa-878	155	21	are	be	AUX
ijassa-878	155	22	constructed	construct	VERB
ijassa-878	155	23	at	at	ADP
ijassa-878	155	24	iterations	iteration	NOUN
ijassa-878	155	25	of	of	ADP
ijassa-878	155	26	the	the	DET
ijassa-878	155	27	algorithm	algorithm	NOUN
ijassa-878	155	28	.	.	PUNCT
ijassa-878	156	1	this	this	PRON
ijassa-878	156	2	is	be	AUX
ijassa-878	156	3	achieved	achieve	VERB
ijassa-878	156	4	by	by	ADP
ijassa-878	156	5	direct	direct	ADJ
ijassa-878	156	6	projection	projection	NOUN
ijassa-878	156	7	on	on	ADP
ijassa-878	156	8	a	a	DET
ijassa-878	156	9	parallelepiped	parallelepipe	VERB
ijassa-878	156	10	.	.	PUNCT
ijassa-878	157	1	to	to	PART
ijassa-878	157	2	improve	improve	VERB
ijassa-878	157	3	the	the	DET
ijassa-878	157	4	current	current	ADJ
ijassa-878	157	5	approximation	approximation	NOUN
ijassa-878	157	6	,	,	PUNCT
ijassa-878	157	7	a	a	DET
ijassa-878	157	8	modification	modification	NOUN
ijassa-878	157	9	of	of	ADP
ijassa-878	157	10	a	a	DET
ijassa-878	157	11	non	non	ADJ
ijassa-878	157	12	-	-	ADJ
ijassa-878	157	13	local	local	ADJ
ijassa-878	157	14	onedimensional	onedimensional	ADJ
ijassa-878	157	15	search	search	NOUN
ijassa-878	157	16	algorithm	algorithm	NOUN
ijassa-878	157	17	based	base	VERB
ijassa-878	157	18	on	on	ADP
ijassa-878	157	19	the	the	DET
ijassa-878	157	20	“	"	PUNCT
ijassa-878	157	21	parabolic	parabolic	ADJ
ijassa-878	157	22	”	"	PUNCT
ijassa-878	157	23	method	method	NOUN
ijassa-878	157	24	is	be	AUX
ijassa-878	157	25	applied	apply	VERB
ijassa-878	157	26	[	[	PUNCT
ijassa-878	157	27	28	28	NUM
ijassa-878	157	28	]	]	PUNCT
ijassa-878	157	29	.	.	PUNCT
ijassa-878	158	1	also	also	ADV
ijassa-878	158	2	,	,	PUNCT
ijassa-878	158	3	as	as	ADP
ijassa-878	158	4	a	a	DET
ijassa-878	158	5	globalizing	globalizing	NOUN
ijassa-878	158	6	mechanism	mechanism	NOUN
ijassa-878	158	7	,	,	PUNCT
ijassa-878	158	8	a	a	DET
ijassa-878	158	9	non	non	ADJ
ijassa-878	158	10	-	-	ADJ
ijassa-878	158	11	local	local	ADJ
ijassa-878	158	12	search	search	NOUN
ijassa-878	158	13	in	in	ADP
ijassa-878	158	14	random	random	ADJ
ijassa-878	158	15	directions	direction	NOUN
ijassa-878	158	16	is	be	AUX
ijassa-878	158	17	used	use	VERB
ijassa-878	158	18	,	,	PUNCT
ijassa-878	158	19	repeated	repeat	VERB
ijassa-878	158	20	many	many	ADJ
ijassa-878	158	21	times	time	NOUN
ijassa-878	158	22	at	at	ADP
ijassa-878	158	23	each	each	DET
ijassa-878	158	24	iteration	iteration	NOUN
ijassa-878	158	25	of	of	ADP
ijassa-878	158	26	the	the	DET
ijassa-878	158	27	algorithm	algorithm	NOUN
ijassa-878	158	28	.	.	PUNCT
ijassa-878	159	1	to	to	PART
ijassa-878	159	2	solve	solve	VERB
ijassa-878	159	3	auxiliary	auxiliary	ADJ
ijassa-878	159	4	non	non	ADJ
ijassa-878	159	5	-	-	ADJ
ijassa-878	159	6	convex	convex	ADJ
ijassa-878	159	7	problems	problem	NOUN
ijassa-878	159	8	of	of	ADP
ijassa-878	159	9	one	one	NUM
ijassa-878	159	10	-	-	PUNCT
ijassa-878	159	11	dimensional	dimensional	ADJ
ijassa-878	159	12	search	search	NOUN
ijassa-878	159	13	,	,	PUNCT
ijassa-878	159	14	a	a	DET
ijassa-878	159	15	modification	modification	NOUN
ijassa-878	159	16	of	of	ADP
ijassa-878	159	17	the	the	DET
ijassa-878	159	18	stochastic	stochastic	NOUN
ijassa-878	159	19	p	p	ADJ
ijassa-878	159	20	-algorithm	-algorithm	PROPN
ijassa-878	159	21	,	,	PUNCT
ijassa-878	159	22	proposed	propose	VERB
ijassa-878	159	23	by	by	ADP
ijassa-878	159	24	a.	a.	NOUN
ijassa-878	159	25	zhigljavsky	zhigljavsky	PROPN
ijassa-878	159	26	and	and	CCONJ
ijassa-878	159	27	a.	a.	PROPN
ijassa-878	159	28	žilinskas	žilinskas	PROPN
ijassa-878	160	1	[	[	X
ijassa-878	160	2	14	14	NUM
ijassa-878	160	3	]	]	PUNCT
ijassa-878	160	4	,	,	PUNCT
ijassa-878	160	5	is	be	AUX
ijassa-878	160	6	implemented	implement	VERB
ijassa-878	160	7	[	[	X
ijassa-878	160	8	29	29	NUM
ijassa-878	160	9	]	]	PUNCT
ijassa-878	160	10	.	.	PUNCT
ijassa-878	161	1	to	to	PART
ijassa-878	161	2	enhance	enhance	VERB
ijassa-878	161	3	reliability	reliability	NOUN
ijassa-878	161	4	of	of	ADP
ijassa-878	161	5	the	the	DET
ijassa-878	161	6	proposed	propose	VERB
ijassa-878	161	7	method	method	NOUN
ijassa-878	161	8	,	,	PUNCT
ijassa-878	161	9	a	a	DET
ijassa-878	161	10	periodic	periodic	ADJ
ijassa-878	161	11	random	random	ADJ
ijassa-878	161	12	multi	multi	NOUN
ijassa-878	161	13	-	-	ADJ
ijassa-878	161	14	start	start	NOUN
ijassa-878	161	15	was	be	AUX
ijassa-878	161	16	provided	provide	VERB
ijassa-878	161	17	in	in	ADP
ijassa-878	161	18	the	the	DET
ijassa-878	161	19	algorithm	algorithm	NOUN
ijassa-878	161	20	’s	’s	PART
ijassa-878	161	21	construction	construction	NOUN
ijassa-878	161	22	.	.	PUNCT
ijassa-878	162	1	•	•	NUM
ijassa-878	162	2	an	an	DET
ijassa-878	162	3	algorithm	algorithm	NOUN
ijassa-878	162	4	for	for	ADP
ijassa-878	162	5	the	the	DET
ijassa-878	162	6	numerical	numerical	ADJ
ijassa-878	162	7	integration	integration	NOUN
ijassa-878	162	8	of	of	ADP
ijassa-878	162	9	fdept	fdept	PROPN
ijassa-878	162	10	systems	system	NOUN
ijassa-878	162	11	based	base	VERB
ijassa-878	162	12	on	on	ADP
ijassa-878	162	13	the	the	DET
ijassa-878	162	14	sequential	sequential	ADJ
ijassa-878	162	15	discretization	discretization	NOUN
ijassa-878	162	16	technique	technique	NOUN
ijassa-878	162	17	has	have	AUX
ijassa-878	162	18	been	be	AUX
ijassa-878	162	19	developed	develop	VERB
ijassa-878	162	20	.	.	PUNCT
ijassa-878	163	1	to	to	PART
ijassa-878	163	2	improve	improve	VERB
ijassa-878	163	3	the	the	DET
ijassa-878	163	4	efficiency	efficiency	NOUN
ijassa-878	163	5	of	of	ADP
ijassa-878	163	6	calculations	calculation	NOUN
ijassa-878	163	7	,	,	PUNCT
ijassa-878	163	8	tools	tool	NOUN
ijassa-878	163	9	have	have	AUX
ijassa-878	163	10	been	be	AUX
ijassa-878	163	11	implemented	implement	VERB
ijassa-878	163	12	to	to	PART
ijassa-878	163	13	build	build	VERB
ijassa-878	163	14	a	a	DET
ijassa-878	163	15	sequence	sequence	NOUN
ijassa-878	163	16	of	of	ADP
ijassa-878	163	17	approximative	approximative	ADJ
ijassa-878	163	18	finitedimensional	finitedimensional	ADJ
ijassa-878	163	19	optimization	optimization	NOUN
ijassa-878	163	20	problems	problem	NOUN
ijassa-878	163	21	with	with	ADP
ijassa-878	163	22	a	a	DET
ijassa-878	163	23	growing	grow	VERB
ijassa-878	163	24	number	number	NOUN
ijassa-878	163	25	of	of	ADP
ijassa-878	163	26	variables	variable	NOUN
ijassa-878	163	27	.	.	PUNCT
ijassa-878	164	1	at	at	ADP
ijassa-878	164	2	the	the	DET
ijassa-878	164	3	same	same	ADJ
ijassa-878	164	4	time	time	NOUN
ijassa-878	164	5	,	,	PUNCT
ijassa-878	164	6	solutions	solution	NOUN
ijassa-878	164	7	obtained	obtain	VERB
ijassa-878	164	8	at	at	ADP
ijassa-878	164	9	the	the	DET
ijassa-878	164	10	previous	previous	ADJ
ijassa-878	164	11	stages	stage	NOUN
ijassa-878	164	12	of	of	ADP
ijassa-878	164	13	calculations	calculation	NOUN
ijassa-878	164	14	performed	perform	VERB
ijassa-878	164	15	on	on	ADP
ijassa-878	164	16	the	the	DET
ijassa-878	164	17	current	current	ADJ
ijassa-878	164	18	discretization	discretization	NOUN
ijassa-878	164	19	grid	grid	NOUN
ijassa-878	164	20	are	be	AUX
ijassa-878	164	21	projected	project	VERB
ijassa-878	164	22	onto	onto	ADP
ijassa-878	164	23	a	a	DET
ijassa-878	164	24	new	new	ADJ
ijassa-878	164	25	grid	grid	NOUN
ijassa-878	164	26	with	with	ADP
ijassa-878	164	27	an	an	DET
ijassa-878	164	28	increased	increase	VERB
ijassa-878	164	29	number	number	NOUN
ijassa-878	164	30	of	of	ADP
ijassa-878	164	31	nodes	node	NOUN
ijassa-878	164	32	while	while	SCONJ
ijassa-878	164	33	preserving	preserve	VERB
ijassa-878	164	34	the	the	DET
ijassa-878	164	35	qualitative	qualitative	ADJ
ijassa-878	164	36	and	and	CCONJ
ijassa-878	164	37	quantitative	quantitative	ADJ
ijassa-878	164	38	characteristics	characteristic	NOUN
ijassa-878	164	39	of	of	ADP
ijassa-878	164	40	the	the	DET
ijassa-878	164	41	trajectories	trajectory	NOUN
ijassa-878	164	42	.	.	PUNCT
ijassa-878	165	1	•	•	NUM
ijassa-878	165	2	the	the	DET
ijassa-878	165	3	proposed	propose	VERB
ijassa-878	165	4	numerical	numerical	ADJ
ijassa-878	165	5	algorithms	algorithm	NOUN
ijassa-878	165	6	were	be	AUX
ijassa-878	165	7	tested	test	VERB
ijassa-878	165	8	on	on	ADP
ijassa-878	165	9	a	a	DET
ijassa-878	165	10	wide	wide	ADJ
ijassa-878	165	11	range	range	NOUN
ijassa-878	165	12	of	of	ADP
ijassa-878	165	13	tasks	task	NOUN
ijassa-878	165	14	[	[	X
ijassa-878	165	15	27	27	NUM
ijassa-878	165	16	]	]	PUNCT
ijassa-878	165	17	with	with	ADP
ijassa-878	165	18	using	use	VERB
ijassa-878	165	19	the	the	DET
ijassa-878	165	20	principle	principle	NOUN
ijassa-878	165	21	of	of	ADP
ijassa-878	165	22	“	"	PUNCT
ijassa-878	165	23	the	the	DET
ijassa-878	165	24	best	good	ADJ
ijassa-878	165	25	of	of	ADP
ijassa-878	165	26	known	know	VERB
ijassa-878	165	27	solutions	solution	NOUN
ijassa-878	165	28	”	"	PUNCT
ijassa-878	166	1	[	[	X
ijassa-878	166	2	30	30	NUM
ijassa-878	166	3	]	]	PUNCT
ijassa-878	166	4	.	.	PUNCT
ijassa-878	167	1	in	in	ADP
ijassa-878	167	2	all	all	DET
ijassa-878	167	3	considered	consider	VERB
ijassa-878	167	4	problems	problem	NOUN
ijassa-878	167	5	,	,	PUNCT
ijassa-878	167	6	the	the	DET
ijassa-878	167	7	proposed	propose	VERB
ijassa-878	167	8	algorithm	algorithm	NOUN
ijassa-878	167	9	allowed	allow	VERB
ijassa-878	167	10	us	we	PRON
ijassa-878	167	11	to	to	PART
ijassa-878	167	12	find	find	VERB
ijassa-878	167	13	the	the	DET
ijassa-878	167	14	best	well	ADV
ijassa-878	167	15	known	know	VERB
ijassa-878	167	16	solution	solution	NOUN
ijassa-878	167	17	.	.	PUNCT
ijassa-878	168	1	the	the	DET
ijassa-878	168	2	calculation	calculation	NOUN
ijassa-878	168	3	experiments	experiment	NOUN
ijassa-878	168	4	that	that	PRON
ijassa-878	168	5	have	have	AUX
ijassa-878	168	6	been	be	AUX
ijassa-878	168	7	carried	carry	VERB
ijassa-878	168	8	out	out	ADP
ijassa-878	168	9	demonstrate	demonstrate	VERB
ijassa-878	168	10	considerably	considerably	ADV
ijassa-878	168	11	high	high	ADJ
ijassa-878	168	12	fidelity	fidelity	NOUN
ijassa-878	168	13	of	of	ADP
ijassa-878	168	14	the	the	DET
ijassa-878	168	15	proposed	propose	VERB
ijassa-878	168	16	algorithms	algorithm	NOUN
ijassa-878	168	17	.	.	PUNCT
ijassa-878	169	1	the	the	DET
ijassa-878	169	2	above	above	ADJ
ijassa-878	169	3	heuristic	heuristic	ADJ
ijassa-878	169	4	search	search	NOUN
ijassa-878	169	5	algorithm	algorithm	NOUN
ijassa-878	169	6	for	for	ADP
ijassa-878	169	7	the	the	DET
ijassa-878	169	8	solution	solution	NOUN
ijassa-878	169	9	x̂(t	x̂(t	PRON
ijassa-878	169	10	)	)	PUNCT
ijassa-878	169	11	can	can	AUX
ijassa-878	169	12	be	be	AUX
ijassa-878	169	13	justified	justify	VERB
ijassa-878	169	14	on	on	ADP
ijassa-878	169	15	the	the	DET
ijassa-878	169	16	basis	basis	NOUN
ijassa-878	169	17	of	of	ADP
ijassa-878	169	18	the	the	DET
ijassa-878	169	19	existence	existence	NOUN
ijassa-878	169	20	and	and	CCONJ
ijassa-878	169	21	uniqueness	uniqueness	ADJ
ijassa-878	169	22	theorems	theorem	NOUN
ijassa-878	169	23	for	for	ADP
ijassa-878	169	24	initial	initial	ADJ
ijassa-878	169	25	-	-	PUNCT
ijassa-878	169	26	boundary	boundary	NOUN
ijassa-878	169	27	value	value	NOUN
ijassa-878	169	28	problems	problem	NOUN
ijassa-878	169	29	for	for	ADP
ijassa-878	169	30	the	the	DET
ijassa-878	169	31	investigated	investigate	VERB
ijassa-878	169	32	fdept	fdept	NOUN
ijassa-878	169	33	,	,	PUNCT
ijassa-878	169	34	as	as	ADV
ijassa-878	169	35	well	well	ADV
ijassa-878	169	36	as	as	ADP
ijassa-878	169	37	theorems	theorem	NOUN
ijassa-878	169	38	on	on	ADP
ijassa-878	169	39	approximating	approximate	VERB
ijassa-878	169	40	solutions	solution	NOUN
ijassa-878	169	41	of	of	ADP
ijassa-878	169	42	such	such	ADJ
ijassa-878	169	43	equations	equation	NOUN
ijassa-878	169	44	on	on	ADP
ijassa-878	169	45	the	the	DET
ijassa-878	169	46	whole	whole	ADJ
ijassa-878	169	47	line	line	NOUN
ijassa-878	169	48	by	by	ADP
ijassa-878	169	49	solutions	solution	NOUN
ijassa-878	169	50	of	of	ADP
ijassa-878	169	51	the	the	DET
ijassa-878	169	52	initial	initial	ADJ
ijassa-878	169	53	-	-	PUNCT
ijassa-878	169	54	boundary	boundary	NOUN
ijassa-878	169	55	value	value	NOUN
ijassa-878	169	56	problem	problem	NOUN
ijassa-878	169	57	on	on	ADP
ijassa-878	169	58	a	a	DET
ijassa-878	169	59	sequence	sequence	NOUN
ijassa-878	169	60	of	of	ADP
ijassa-878	169	61	expanding	expand	VERB
ijassa-878	169	62	intervals	interval	NOUN
ijassa-878	169	63	.	.	PUNCT
ijassa-878	170	1	a	a	DET
ijassa-878	170	2	description	description	NOUN
ijassa-878	170	3	of	of	ADP
ijassa-878	170	4	such	such	ADJ
ijassa-878	170	5	equations	equation	NOUN
ijassa-878	170	6	and	and	CCONJ
ijassa-878	170	7	corresponding	corresponding	ADJ
ijassa-878	170	8	results	result	NOUN
ijassa-878	170	9	are	be	AUX
ijassa-878	170	10	presented	present	VERB
ijassa-878	170	11	in	in	ADP
ijassa-878	170	12	the	the	DET
ijassa-878	170	13	following	follow	VERB
ijassa-878	170	14	sections	section	NOUN
ijassa-878	170	15	.	.	PUNCT
ijassa-878	171	1	4	4	X
ijassa-878	171	2	.	.	X
ijassa-878	171	3	existence	existence	NOUN
ijassa-878	171	4	and	and	CCONJ
ijassa-878	171	5	uniqueness	uniqueness	NOUN
ijassa-878	171	6	theorem	theorem	VERB
ijassa-878	171	7	for	for	ADP
ijassa-878	171	8	soliton	soliton	NOUN
ijassa-878	171	9	solutions	solution	NOUN
ijassa-878	171	10	in	in	ADP
ijassa-878	171	11	the	the	DET
ijassa-878	171	12	problem	problem	NOUN
ijassa-878	171	13	of	of	ADP
ijassa-878	171	14	longitudinal	longitudinal	ADJ
ijassa-878	171	15	vibrations	vibration	NOUN
ijassa-878	171	16	of	of	ADP
ijassa-878	171	17	an	an	DET
ijassa-878	171	18	infinite	infinite	ADJ
ijassa-878	171	19	homogeneous	homogeneous	ADJ
ijassa-878	171	20	rod	rod	NOUN
ijassa-878	171	21	we	we	PRON
ijassa-878	171	22	consider	consider	VERB
ijassa-878	171	23	a	a	DET
ijassa-878	171	24	problem	problem	NOUN
ijassa-878	171	25	from	from	ADP
ijassa-878	171	26	the	the	DET
ijassa-878	171	27	theory	theory	NOUN
ijassa-878	171	28	of	of	ADP
ijassa-878	171	29	plastic	plastic	ADJ
ijassa-878	171	30	deformation	deformation	NOUN
ijassa-878	171	31	,	,	PUNCT
ijassa-878	171	32	in	in	ADP
ijassa-878	171	33	which	which	PRON
ijassa-878	171	34	solutions	solution	NOUN
ijassa-878	171	35	of	of	ADP
ijassa-878	171	36	the	the	DET
ijassa-878	171	37	traveling	travel	VERB
ijassa-878	171	38	wave	wave	NOUN
ijassa-878	171	39	type	type	NOUN
ijassa-878	171	40	for	for	ADP
ijassa-878	171	41	the	the	DET
ijassa-878	171	42	following	follow	VERB
ijassa-878	171	43	system	system	NOUN
ijassa-878	171	44	are	be	AUX
ijassa-878	171	45	studied	study	VERB
ijassa-878	171	46	mÿi(t	mÿi(t	NOUN
ijassa-878	171	47	)	)	PUNCT
ijassa-878	171	48	=	=	SYM
ijassa-878	171	49	yi+1(t)−	yi+1(t)−	PROPN
ijassa-878	171	50	2yi(t	2yi(t	NUM
ijassa-878	171	51	)	)	PUNCT
ijassa-878	171	52	+	+	NUM
ijassa-878	171	53	yi−1(t	yi−1(t	NUM
ijassa-878	171	54	)	)	PUNCT
ijassa-878	172	1	+	+	CCONJ
ijassa-878	173	1	φ(yi(t	φ(yi(t	NOUN
ijassa-878	173	2	)	)	PUNCT
ijassa-878	173	3	)	)	PUNCT
ijassa-878	174	1	,	,	PUNCT
ijassa-878	174	2	i	i	PRON
ijassa-878	174	3	∈	∈	PROPN
ijassa-878	175	1	z	z	PROPN
ijassa-878	175	2	,	,	PUNCT
ijassa-878	175	3	yi	yi	PROPN
ijassa-878	175	4	∈	∈	PROPN
ijassa-878	175	5	r	r	PROPN
ijassa-878	175	6	,	,	PUNCT
ijassa-878	175	7	t	t	PROPN
ijassa-878	175	8	∈	∈	PROPN
ijassa-878	175	9	r	r	PROPN
ijassa-878	175	10	,	,	PUNCT
ijassa-878	175	11	(	(	PUNCT
ijassa-878	175	12	4.12	4.12	NUM
ijassa-878	175	13	)	)	PUNCT
ijassa-878	175	14	yi(t+	yi(t+	PROPN
ijassa-878	175	15	τ	τ	PROPN
ijassa-878	175	16	)	)	PUNCT
ijassa-878	175	17	=	=	SYM
ijassa-878	175	18	yi+1(t	yi+1(t	PROPN
ijassa-878	175	19	)	)	PUNCT
ijassa-878	175	20	,	,	PUNCT
ijassa-878	175	21	τ	τ	X
ijassa-878	175	22	≥	≥	NOUN
ijassa-878	175	23	0	0	NUM
ijassa-878	175	24	.	.	PUNCT
ijassa-878	176	1	(	(	PUNCT
ijassa-878	176	2	4.13	4.13	X
ijassa-878	176	3	)	)	PUNCT
ijassa-878	176	4	we	we	PRON
ijassa-878	176	5	will	will	AUX
ijassa-878	176	6	study	study	VERB
ijassa-878	176	7	such	such	DET
ijassa-878	176	8	a	a	DET
ijassa-878	176	9	system	system	NOUN
ijassa-878	176	10	under	under	ADP
ijassa-878	176	11	the	the	DET
ijassa-878	176	12	most	most	ADV
ijassa-878	176	13	weak	weak	ADJ
ijassa-878	176	14	conditions	condition	NOUN
ijassa-878	176	15	on	on	ADP
ijassa-878	176	16	the	the	DET
ijassa-878	176	17	potential	potential	ADJ
ijassa-878	176	18	φ	φ	X
ijassa-878	176	19	(	(	PUNCT
ijassa-878	176	20	·	·	PUNCT
ijassa-878	176	21	)	)	PUNCT
ijassa-878	176	22	in	in	ADP
ijassa-878	176	23	the	the	DET
ijassa-878	176	24	form	form	NOUN
ijassa-878	176	25	of	of	ADP
ijassa-878	176	26	the	the	DET
ijassa-878	176	27	lipschitz	lipschitz	NOUN
ijassa-878	176	28	condition	condition	NOUN
ijassa-878	176	29	.	.	PUNCT
ijassa-878	177	1	the	the	DET
ijassa-878	177	2	lipschitz	lipschitz	NOUN
ijassa-878	177	3	constant	constant	ADJ
ijassa-878	177	4	will	will	AUX
ijassa-878	177	5	be	be	AUX
ijassa-878	177	6	denoted	denote	VERB
ijassa-878	177	7	by	by	ADP
ijassa-878	177	8	lφ	lφ	PRON
ijassa-878	177	9	.	.	PUNCT
ijassa-878	178	1	we	we	PRON
ijassa-878	178	2	formulate	formulate	VERB
ijassa-878	178	3	a	a	DET
ijassa-878	178	4	theorem	theorem	NOUN
ijassa-878	178	5	on	on	ADP
ijassa-878	178	6	the	the	DET
ijassa-878	178	7	existence	existence	NOUN
ijassa-878	178	8	and	and	CCONJ
ijassa-878	178	9	uniqueness	uniqueness	NOUN
ijassa-878	178	10	of	of	ADP
ijassa-878	178	11	a	a	DET
ijassa-878	178	12	traveling	travel	VERB
ijassa-878	178	13	wave	wave	NOUN
ijassa-878	178	14	type	type	NOUN
ijassa-878	178	15	solution	solution	NOUN
ijassa-878	178	16	(	(	PUNCT
ijassa-878	178	17	soliton	soliton	NOUN
ijassa-878	178	18	solution	solution	NOUN
ijassa-878	178	19	)	)	PUNCT
ijassa-878	178	20	,	,	PUNCT
ijassa-878	178	21	copyright	copyright	NOUN
ijassa-878	178	22	©	©	PROPN
ijassa-878	178	23	2020	2020	NUM
ijassa-878	178	24	assa	assa	NOUN
ijassa-878	178	25	.	.	PUNCT
ijassa-878	179	1	adv	adv	PROPN
ijassa-878	179	2	syst	syst	PROPN
ijassa-878	179	3	sci	sci	PROPN
ijassa-878	179	4	appl	appl	PROPN
ijassa-878	179	5	(	(	PUNCT
ijassa-878	179	6	2020	2020	NUM
ijassa-878	179	7	)	)	PUNCT
ijassa-878	179	8	numerical	numerical	ADJ
ijassa-878	179	9	methods	method	NOUN
ijassa-878	179	10	for	for	ADP
ijassa-878	179	11	functional	functional	ADJ
ijassa-878	179	12	differential	differential	ADJ
ijassa-878	179	13	equations	equation	NOUN
ijassa-878	179	14	63	63	NUM
ijassa-878	179	15	τ	τ	SYM
ijassa-878	179	16	µ	µ	X
ijassa-878	179	17	1	1	NUM
ijassa-878	179	18	µ̂	µ̂	PRON
ijassa-878	179	19	τ̂	τ̂	ADP
ijassa-878	179	20	µ1(τ	µ1(τ	PROPN
ijassa-878	179	21	)	)	PUNCT
ijassa-878	179	22	µ2(τ	µ2(τ	X
ijassa-878	179	23	)	)	PUNCT
ijassa-878	179	24	0	0	NUM
ijassa-878	179	25	fig	fig	NOUN
ijassa-878	179	26	.	.	PUNCT
ijassa-878	180	1	4.1	4.1	NUM
ijassa-878	180	2	.	.	PUNCT
ijassa-878	180	3	graphs	graph	NOUN
ijassa-878	180	4	of	of	ADP
ijassa-878	180	5	functions	function	NOUN
ijassa-878	180	6	µ1(τ	µ1(τ	PROPN
ijassa-878	180	7	)	)	PUNCT
ijassa-878	180	8	,	,	PUNCT
ijassa-878	180	9	µ2(τ	µ2(τ	X
ijassa-878	180	10	)	)	PUNCT
ijassa-878	180	11	based	base	VERB
ijassa-878	180	12	on	on	ADP
ijassa-878	180	13	the	the	DET
ijassa-878	180	14	correspondence	correspondence	NOUN
ijassa-878	180	15	of	of	ADP
ijassa-878	180	16	traveling	travel	VERB
ijassa-878	180	17	-	-	PUNCT
ijassa-878	180	18	wave	wave	NOUN
ijassa-878	180	19	type	type	NOUN
ijassa-878	180	20	solutions	solution	NOUN
ijassa-878	180	21	of	of	ADP
ijassa-878	180	22	the	the	DET
ijassa-878	180	23	infinite	infinite	ADJ
ijassa-878	180	24	-	-	PUNCT
ijassa-878	180	25	dimensional	dimensional	ADJ
ijassa-878	180	26	system	system	NOUN
ijassa-878	180	27	(	(	PUNCT
ijassa-878	180	28	4.12)-(4.13	4.12)-(4.13	NUM
ijassa-878	180	29	)	)	PUNCT
ijassa-878	180	30	to	to	ADP
ijassa-878	180	31	the	the	DET
ijassa-878	180	32	solutions	solution	NOUN
ijassa-878	180	33	of	of	ADP
ijassa-878	180	34	the	the	DET
ijassa-878	180	35	induced	induced	ADJ
ijassa-878	180	36	fdept	fdept	NOUN
ijassa-878	180	37	[	[	X
ijassa-878	180	38	24	24	NUM
ijassa-878	180	39	]	]	PUNCT
ijassa-878	180	40	,	,	PUNCT
ijassa-878	180	41	reduced	reduce	VERB
ijassa-878	180	42	to	to	ADP
ijassa-878	180	43	a	a	DET
ijassa-878	180	44	first	first	ADJ
ijassa-878	180	45	-	-	PUNCT
ijassa-878	180	46	order	order	NOUN
ijassa-878	180	47	system	system	NOUN
ijassa-878	180	48	ẋ1(t	ẋ1(t	PROPN
ijassa-878	180	49	)	)	PUNCT
ijassa-878	181	1	=	=	PUNCT
ijassa-878	181	2	x2(t	x2(t	PROPN
ijassa-878	181	3	)	)	PUNCT
ijassa-878	181	4	,	,	PUNCT
ijassa-878	181	5	x	x	PUNCT
ijassa-878	181	6	∈	∈	NOUN
ijassa-878	181	7	r2	r2	NOUN
ijassa-878	181	8	,	,	PUNCT
ijassa-878	181	9	x	x	SYM
ijassa-878	181	10	=	=	SYM
ijassa-878	181	11	(	(	PUNCT
ijassa-878	181	12	x1	x1	PROPN
ijassa-878	181	13	,	,	PUNCT
ijassa-878	181	14	x2)′	x2)′	PROPN
ijassa-878	181	15	,	,	PUNCT
ijassa-878	181	16	t	t	PROPN
ijassa-878	181	17	∈	∈	PROPN
ijassa-878	181	18	r	r	NOUN
ijassa-878	181	19	,	,	PUNCT
ijassa-878	181	20	ẋ2(t	ẋ2(t	PROPN
ijassa-878	181	21	)	)	PUNCT
ijassa-878	182	1	=	=	SYM
ijassa-878	182	2	m−1	m−1	PROPN
ijassa-878	182	3	(	(	PUNCT
ijassa-878	182	4	x1(t+	x1(t+	PROPN
ijassa-878	182	5	τ)−	τ)−	PROPN
ijassa-878	182	6	2x1(t	2x1(t	NUM
ijassa-878	182	7	)	)	PUNCT
ijassa-878	183	1	+	+	NUM
ijassa-878	183	2	x1(t−	x1(t−	NOUN
ijassa-878	183	3	τ	τ	X
ijassa-878	183	4	)	)	PUNCT
ijassa-878	184	1	+	+	CCONJ
ijassa-878	184	2	φ(x1(t	φ(x1(t	PROPN
ijassa-878	184	3	)	)	PUNCT
ijassa-878	184	4	)	)	PUNCT
ijassa-878	184	5	)	)	PUNCT
ijassa-878	185	1	,	,	PUNCT
ijassa-878	185	2	(	(	PUNCT
ijassa-878	185	3	4.14	4.14	NUM
ijassa-878	185	4	)	)	PUNCT
ijassa-878	185	5	as	as	ADV
ijassa-878	185	6	well	well	ADV
ijassa-878	185	7	as	as	ADP
ijassa-878	185	8	the	the	DET
ijassa-878	185	9	existence	existence	NOUN
ijassa-878	185	10	and	and	CCONJ
ijassa-878	185	11	uniqueness	uniqueness	NOUN
ijassa-878	185	12	theorem	theorem	VERB
ijassa-878	185	13	for	for	ADP
ijassa-878	185	14	solutions	solution	NOUN
ijassa-878	185	15	to	to	ADP
ijassa-878	185	16	such	such	ADJ
ijassa-878	185	17	equations	equation	NOUN
ijassa-878	185	18	(	(	PUNCT
ijassa-878	185	19	theorem	theorem	VERB
ijassa-878	185	20	2.1	2.1	NUM
ijassa-878	185	21	)	)	PUNCT
ijassa-878	185	22	.	.	PUNCT
ijassa-878	186	1	to	to	PART
ijassa-878	186	2	do	do	VERB
ijassa-878	186	3	this	this	PRON
ijassa-878	186	4	,	,	PUNCT
ijassa-878	186	5	we	we	PRON
ijassa-878	186	6	consider	consider	VERB
ijassa-878	186	7	a	a	DET
ijassa-878	186	8	transcendental	transcendental	ADJ
ijassa-878	186	9	equation	equation	NOUN
ijassa-878	186	10	with	with	ADP
ijassa-878	186	11	respect	respect	NOUN
ijassa-878	186	12	to	to	ADP
ijassa-878	186	13	two	two	NUM
ijassa-878	186	14	variables	variable	NOUN
ijassa-878	186	15	τ	τ	PROPN
ijassa-878	186	16	∈	∈	PROPN
ijassa-878	187	1	[	[	X
ijassa-878	187	2	0,+∞	0,+∞	NUM
ijassa-878	187	3	)	)	PUNCT
ijassa-878	187	4	and	and	CCONJ
ijassa-878	187	5	µ	µ	PRON
ijassa-878	187	6	∈	∈	NOUN
ijassa-878	187	7	(	(	PUNCT
ijassa-878	187	8	0	0	NUM
ijassa-878	187	9	,	,	PUNCT
ijassa-878	187	10	1	1	NUM
ijassa-878	187	11	)	)	PUNCT
ijassa-878	187	12	cτ	cτ	ADP
ijassa-878	187	13	(	(	PUNCT
ijassa-878	187	14	2µ−1	2µ−1	NUM
ijassa-878	187	15	+	+	CCONJ
ijassa-878	187	16	1	1	NUM
ijassa-878	187	17	)	)	PUNCT
ijassa-878	187	18	=	=	SYM
ijassa-878	188	1	lnµ−1	lnµ−1	PROPN
ijassa-878	188	2	,	,	PUNCT
ijassa-878	188	3	(	(	PUNCT
ijassa-878	188	4	4.15	4.15	NUM
ijassa-878	188	5	)	)	PUNCT
ijassa-878	189	1	where	where	SCONJ
ijassa-878	189	2	c	c	NOUN
ijassa-878	189	3	=	=	SYM
ijassa-878	189	4	max{1	max{1	PROPN
ijassa-878	189	5	;	;	PUNCT
ijassa-878	189	6	2m−1	2m−1	NUM
ijassa-878	189	7	√	√	PROPN
ijassa-878	189	8	l2	l2	VERB
ijassa-878	189	9	φ	φ	NOUN
ijassa-878	189	10	+	+	CCONJ
ijassa-878	189	11	2	2	NUM
ijassa-878	189	12	}	}	PUNCT
ijassa-878	189	13	.	.	PUNCT
ijassa-878	190	1	the	the	DET
ijassa-878	190	2	set	set	NOUN
ijassa-878	190	3	of	of	ADP
ijassa-878	190	4	solutions	solution	NOUN
ijassa-878	190	5	of	of	ADP
ijassa-878	190	6	the	the	DET
ijassa-878	190	7	equation	equation	NOUN
ijassa-878	190	8	(	(	PUNCT
ijassa-878	190	9	4.15	4.15	NUM
ijassa-878	190	10	)	)	PUNCT
ijassa-878	190	11	is	be	AUX
ijassa-878	190	12	described	describe	VERB
ijassa-878	190	13	by	by	ADP
ijassa-878	190	14	functions	function	NOUN
ijassa-878	190	15	µ1(τ	µ1(τ	PROPN
ijassa-878	190	16	)	)	PUNCT
ijassa-878	190	17	,	,	PUNCT
ijassa-878	190	18	µ2(τ	µ2(τ	X
ijassa-878	190	19	)	)	PUNCT
ijassa-878	190	20	given	give	VERB
ijassa-878	190	21	in	in	ADP
ijassa-878	190	22	fig	fig	NOUN
ijassa-878	190	23	.	.	PUNCT
ijassa-878	191	1	4.1	4.1	NUM
ijassa-878	191	2	.	.	PUNCT
ijassa-878	192	1	if	if	SCONJ
ijassa-878	192	2	we	we	PRON
ijassa-878	192	3	denote	denote	VERB
ijassa-878	192	4	the	the	DET
ijassa-878	192	5	right	right	ADJ
ijassa-878	192	6	-	-	PUNCT
ijassa-878	192	7	hand	hand	NOUN
ijassa-878	192	8	side	side	NOUN
ijassa-878	192	9	of	of	ADP
ijassa-878	192	10	the	the	DET
ijassa-878	192	11	system	system	NOUN
ijassa-878	192	12	(	(	PUNCT
ijassa-878	192	13	4.14	4.14	NUM
ijassa-878	192	14	)	)	PUNCT
ijassa-878	192	15	by	by	ADP
ijassa-878	192	16	f	f	PROPN
ijassa-878	192	17	,	,	PUNCT
ijassa-878	192	18	then	then	ADV
ijassa-878	192	19	relations	relation	NOUN
ijassa-878	192	20	µ1(lf	µ1(lf	PROPN
ijassa-878	192	21	;	;	PUNCT
ijassa-878	192	22	h	h	X
ijassa-878	192	23	)	)	PUNCT
ijassa-878	192	24	=	=	PUNCT
ijassa-878	193	1	τ	τ	PROPN
ijassa-878	193	2	√	√	NUM
ijassa-878	193	3	µ1(τ	µ1(τ	NUM
ijassa-878	193	4	)	)	PUNCT
ijassa-878	193	5	and	and	CCONJ
ijassa-878	193	6	µ2(lf	µ2(lf	PROPN
ijassa-878	193	7	;	;	PUNCT
ijassa-878	193	8	h	h	X
ijassa-878	193	9	)	)	PUNCT
ijassa-878	193	10	=	=	PUNCT
ijassa-878	194	1	τ	τ	PROPN
ijassa-878	194	2	√	√	NUM
ijassa-878	194	3	µ2(τ	µ2(τ	NOUN
ijassa-878	194	4	)	)	PUNCT
ijassa-878	194	5	will	will	AUX
ijassa-878	194	6	be	be	AUX
ijassa-878	194	7	valid	valid	ADJ
ijassa-878	194	8	,	,	PUNCT
ijassa-878	194	9	where	where	SCONJ
ijassa-878	194	10	lf	lf	ADP
ijassa-878	194	11	=	=	SYM
ijassa-878	194	12	c	c	PROPN
ijassa-878	194	13	,	,	PUNCT
ijassa-878	194	14	h	h	NOUN
ijassa-878	194	15	=	=	SYM
ijassa-878	194	16	(	(	PUNCT
ijassa-878	194	17	τ	τ	PROPN
ijassa-878	194	18	,	,	PUNCT
ijassa-878	194	19	τ	τ	PROPN
ijassa-878	194	20	)	)	PUNCT
ijassa-878	194	21	.	.	PUNCT
ijassa-878	195	1	for	for	ADP
ijassa-878	195	2	each	each	DET
ijassa-878	195	3	µ	µ	PROPN
ijassa-878	195	4	∈	∈	NOUN
ijassa-878	195	5	(	(	PUNCT
ijassa-878	195	6	0	0	NUM
ijassa-878	195	7	,	,	PUNCT
ijassa-878	195	8	1	1	X
ijassa-878	195	9	)	)	PUNCT
ijassa-878	195	10	we	we	PRON
ijassa-878	195	11	define	define	VERB
ijassa-878	195	12	the	the	DET
ijassa-878	195	13	phase	phase	NOUN
ijassa-878	195	14	space	space	NOUN
ijassa-878	195	15	of	of	ADP
ijassa-878	195	16	the	the	DET
ijassa-878	195	17	infinite	infinite	ADJ
ijassa-878	195	18	-	-	PUNCT
ijassa-878	195	19	dimensional	dimensional	ADJ
ijassa-878	195	20	equation	equation	NOUN
ijassa-878	195	21	(	(	PUNCT
ijassa-878	195	22	4.12)as	4.12)as	PROPN
ijassa-878	195	23	a	a	DET
ijassa-878	195	24	hilbert	hilbert	NOUN
ijassa-878	195	25	space	space	NOUN
ijassa-878	195	26	of	of	ADP
ijassa-878	195	27	sequences	sequence	NOUN
ijassa-878	195	28	with	with	ADP
ijassa-878	195	29	the	the	DET
ijassa-878	195	30	corresponding	corresponding	ADJ
ijassa-878	195	31	norm	norm	NOUN
ijassa-878	195	32	k2	k2	PROPN
ijassa-878	195	33	z2µ	z2µ	PROPN
ijassa-878	196	1	=	=	PUNCT
ijassa-878	196	2	{	{	PUNCT
ijassa-878	196	3	κ	κ	NOUN
ijassa-878	196	4	:	:	PUNCT
ijassa-878	196	5	κ	κ	X
ijassa-878	196	6	=	=	PUNCT
ijassa-878	196	7	{	{	PUNCT
ijassa-878	196	8	zi}+∞	zi}+∞	NUM
ijassa-878	196	9	−∞	−∞	NOUN
ijassa-878	196	10	,	,	PUNCT
ijassa-878	196	11	zi	zi	PROPN
ijassa-878	196	12	∈	∈	PROPN
ijassa-878	196	13	r2	r2	NOUN
ijassa-878	196	14	,	,	PUNCT
ijassa-878	196	15	i	i	PROPN
ijassa-878	196	16	∈	∈	PROPN
ijassa-878	197	1	z	z	PROPN
ijassa-878	197	2	,	,	PUNCT
ijassa-878	197	3	∑	∑	ADV
ijassa-878	197	4	i∈z	i∈z	NOUN
ijassa-878	197	5	‖zi‖2	‖zi‖2	ADJ
ijassa-878	197	6	r2µ2|i|	r2µ2|i|	NOUN
ijassa-878	197	7	<	<	X
ijassa-878	197	8	+	+	NOUN
ijassa-878	197	9	∞	∞	NOUN
ijassa-878	197	10	}	}	PUNCT
ijassa-878	197	11	.	.	PUNCT
ijassa-878	198	1	theorem	theorem	VERB
ijassa-878	198	2	4.1	4.1	NUM
ijassa-878	198	3	(	(	PUNCT
ijassa-878	198	4	[	[	X
ijassa-878	198	5	24	24	NUM
ijassa-878	198	6	]	]	PUNCT
ijassa-878	198	7	):	):	PUNCT
ijassa-878	198	8	let	let	VERB
ijassa-878	198	9	the	the	DET
ijassa-878	198	10	potential	potential	ADJ
ijassa-878	198	11	φ	φ	PROPN
ijassa-878	198	12	satisfy	satisfy	VERB
ijassa-878	198	13	the	the	DET
ijassa-878	198	14	lipschitz	lipschitz	NOUN
ijassa-878	198	15	condition	condition	NOUN
ijassa-878	198	16	with	with	ADP
ijassa-878	198	17	constant	constant	ADJ
ijassa-878	198	18	lφ	lφ	NOUN
ijassa-878	198	19	.	.	PUNCT
ijassa-878	199	1	then	then	ADV
ijassa-878	199	2	,	,	PUNCT
ijassa-878	199	3	for	for	ADP
ijassa-878	199	4	any	any	DET
ijassa-878	199	5	initial	initial	ADJ
ijassa-878	199	6	values	value	NOUN
ijassa-878	199	7	ī	ī	NOUN
ijassa-878	199	8	∈	∈	PROPN
ijassa-878	199	9	z	z	PROPN
ijassa-878	199	10	,	,	PUNCT
ijassa-878	199	11	a	a	PRON
ijassa-878	199	12	,	,	PUNCT
ijassa-878	199	13	b	b	X
ijassa-878	199	14	∈	∈	PROPN
ijassa-878	199	15	r	r	NOUN
ijassa-878	199	16	,	,	PUNCT
ijassa-878	199	17	t̄	t̄	PROPN
ijassa-878	199	18	∈	∈	PROPN
ijassa-878	199	19	r	r	NOUN
ijassa-878	199	20	,	,	PUNCT
ijassa-878	199	21	and	and	CCONJ
ijassa-878	199	22	characteristics	characteristic	NOUN
ijassa-878	199	23	τ	τ	PROPN
ijassa-878	199	24	>	>	X
ijassa-878	199	25	0	0	PUNCT
ijassa-878	200	1	satisfying	satisfy	VERB
ijassa-878	200	2	the	the	DET
ijassa-878	200	3	condition	condition	NOUN
ijassa-878	200	4	0	0	PUNCT
ijassa-878	200	5	<	<	X
ijassa-878	200	6	τ	τ	X
ijassa-878	200	7	<	<	X
ijassa-878	200	8	τ̂	τ̂	PUNCT
ijassa-878	200	9	,	,	PUNCT
ijassa-878	200	10	copyright	copyright	NOUN
ijassa-878	200	11	©	©	PROPN
ijassa-878	200	12	2020	2020	NUM
ijassa-878	200	13	assa	assa	NOUN
ijassa-878	200	14	.	.	PUNCT
ijassa-878	201	1	adv	adv	PROPN
ijassa-878	201	2	syst	syst	PROPN
ijassa-878	201	3	sci	sci	PROPN
ijassa-878	201	4	appl	appl	PROPN
ijassa-878	201	5	(	(	PUNCT
ijassa-878	201	6	2020	2020	NUM
ijassa-878	201	7	)	)	PUNCT
ijassa-878	201	8	64	64	NUM
ijassa-878	201	9	a.	a.	NOUN
ijassa-878	201	10	beklaryan	beklaryan	NOUN
ijassa-878	201	11	for	for	ADP
ijassa-878	201	12	the	the	DET
ijassa-878	201	13	initial	initial	ADJ
ijassa-878	201	14	system	system	NOUN
ijassa-878	201	15	of	of	ADP
ijassa-878	201	16	differential	differential	ADJ
ijassa-878	201	17	equations	equation	NOUN
ijassa-878	201	18	(	(	PUNCT
ijassa-878	201	19	4.12	4.12	NUM
ijassa-878	201	20	)	)	PUNCT
ijassa-878	201	21	there	there	PRON
ijassa-878	201	22	exists	exist	VERB
ijassa-878	201	23	a	a	DET
ijassa-878	201	24	unique	unique	ADJ
ijassa-878	201	25	solution	solution	NOUN
ijassa-878	201	26	of	of	ADP
ijassa-878	201	27	the	the	DET
ijassa-878	201	28	traveling	travel	VERB
ijassa-878	201	29	wave	wave	NOUN
ijassa-878	201	30	type	type	NOUN
ijassa-878	201	31	{	{	PUNCT
ijassa-878	201	32	yi(·)}+∞	yi(·)}+∞	NOUN
ijassa-878	201	33	−∞	−∞	X
ijassa-878	201	34	with	with	ADP
ijassa-878	201	35	characteristic	characteristic	ADJ
ijassa-878	201	36	τ	τ	PROPN
ijassa-878	201	37	such	such	ADJ
ijassa-878	201	38	that	that	SCONJ
ijassa-878	201	39	it	it	PRON
ijassa-878	201	40	satisfies	satisfy	VERB
ijassa-878	201	41	the	the	DET
ijassa-878	201	42	initial	initial	ADJ
ijassa-878	201	43	conditions	condition	NOUN
ijassa-878	201	44	yī(t̄	yī(t̄	VERB
ijassa-878	201	45	)	)	PUNCT
ijassa-878	201	46	=	=	SYM
ijassa-878	201	47	a	a	PRON
ijassa-878	201	48	,	,	PUNCT
ijassa-878	201	49	ẏī(t̄	ẏī(t̄	NUM
ijassa-878	201	50	)	)	PUNCT
ijassa-878	201	51	=	=	SYM
ijassa-878	201	52	b.	b.	PROPN
ijassa-878	201	53	for	for	ADP
ijassa-878	201	54	any	any	DET
ijassa-878	201	55	parameter	parameter	NOUN
ijassa-878	201	56	µ	µ	X
ijassa-878	201	57	∈	∈	NOUN
ijassa-878	201	58	(	(	PUNCT
ijassa-878	201	59	µ1(τ	µ1(τ	PROPN
ijassa-878	201	60	)	)	PUNCT
ijassa-878	201	61	,	,	PUNCT
ijassa-878	201	62	µ2(τ	µ2(τ	NOUN
ijassa-878	201	63	)	)	PUNCT
ijassa-878	201	64	)	)	PUNCT
ijassa-878	202	1	the	the	DET
ijassa-878	202	2	vector	vector	NOUN
ijassa-878	202	3	function	function	NOUN
ijassa-878	202	4	ω(t	ω(t	NOUN
ijassa-878	202	5	)	)	PUNCT
ijassa-878	202	6	=	=	PRON
ijassa-878	202	7	{	{	PUNCT
ijassa-878	202	8	(	(	PUNCT
ijassa-878	202	9	yi(t	yi(t	NOUN
ijassa-878	202	10	)	)	PUNCT
ijassa-878	202	11	,	,	PUNCT
ijassa-878	202	12	ẏi(t	ẏi(t	NOUN
ijassa-878	202	13	)	)	PUNCT
ijassa-878	202	14	)	)	PUNCT
ijassa-878	203	1	′}+∞	′}+∞	ADP
ijassa-878	203	2	−∞	−∞	PROPN
ijassa-878	203	3	belongs	belong	VERB
ijassa-878	203	4	to	to	ADP
ijassa-878	203	5	the	the	DET
ijassa-878	203	6	space	space	NOUN
ijassa-878	203	7	k2	k2	PROPN
ijassa-878	203	8	z2µ	z2µ	PROPN
ijassa-878	203	9	for	for	ADP
ijassa-878	203	10	any	any	DET
ijassa-878	203	11	t	t	NOUN
ijassa-878	203	12	∈	∈	PROPN
ijassa-878	203	13	r	r	NOUN
ijassa-878	203	14	,	,	PUNCT
ijassa-878	203	15	and	and	CCONJ
ijassa-878	203	16	the	the	DET
ijassa-878	203	17	function	function	NOUN
ijassa-878	203	18	ρ(t	ρ(t	NUM
ijassa-878	203	19	)	)	PUNCT
ijassa-878	203	20	=	=	PUNCT
ijassa-878	204	1	‖ω(t)‖2µ	‖ω(t)‖2µ	ADV
ijassa-878	204	2	belongs	belong	VERB
ijassa-878	204	3	to	to	ADP
ijassa-878	204	4	the	the	DET
ijassa-878	204	5	space	space	NOUN
ijassa-878	204	6	l1	l1	PROPN
ijassa-878	204	7	τ	τ	PROPN
ijassa-878	204	8	√	√	PROPN
ijassa-878	204	9	µc	µc	INTJ
ijassa-878	204	10	(	(	PUNCT
ijassa-878	204	11	1)(r	1)(r	NUM
ijassa-878	204	12	)	)	PUNCT
ijassa-878	204	13	.	.	PUNCT
ijassa-878	205	1	such	such	DET
ijassa-878	205	2	a	a	DET
ijassa-878	205	3	solution	solution	NOUN
ijassa-878	205	4	depends	depend	VERB
ijassa-878	205	5	continuously	continuously	ADV
ijassa-878	205	6	on	on	ADP
ijassa-878	205	7	the	the	DET
ijassa-878	205	8	initial	initial	ADJ
ijassa-878	205	9	values	value	NOUN
ijassa-878	205	10	a	a	PRON
ijassa-878	205	11	,	,	PUNCT
ijassa-878	205	12	b	b	X
ijassa-878	205	13	∈	∈	PROPN
ijassa-878	205	14	r	r	NOUN
ijassa-878	205	15	,	,	PUNCT
ijassa-878	205	16	as	as	ADV
ijassa-878	205	17	well	well	ADV
ijassa-878	205	18	as	as	ADP
ijassa-878	205	19	on	on	ADP
ijassa-878	205	20	the	the	DET
ijassa-878	205	21	mass	mass	NOUN
ijassa-878	205	22	m.	m.	NOUN
ijassa-878	205	23	theorem	theorem	VERB
ijassa-878	205	24	4.1	4.1	NUM
ijassa-878	205	25	not	not	PART
ijassa-878	205	26	only	only	ADV
ijassa-878	205	27	guarantees	guarantee	VERB
ijassa-878	205	28	the	the	DET
ijassa-878	205	29	existence	existence	NOUN
ijassa-878	205	30	of	of	ADP
ijassa-878	205	31	a	a	DET
ijassa-878	205	32	solution	solution	NOUN
ijassa-878	205	33	but	but	CCONJ
ijassa-878	205	34	also	also	ADV
ijassa-878	205	35	determines	determine	VERB
ijassa-878	205	36	the	the	DET
ijassa-878	205	37	limitation	limitation	NOUN
ijassa-878	205	38	of	of	ADP
ijassa-878	205	39	its	its	PRON
ijassa-878	205	40	possible	possible	ADJ
ijassa-878	205	41	growth	growth	NOUN
ijassa-878	205	42	both	both	CCONJ
ijassa-878	205	43	in	in	ADP
ijassa-878	205	44	time	time	NOUN
ijassa-878	205	45	t	t	PROPN
ijassa-878	205	46	and	and	CCONJ
ijassa-878	205	47	in	in	ADP
ijassa-878	205	48	coordinates	coordinate	NOUN
ijassa-878	205	49	i	i	PRON
ijassa-878	205	50	∈	∈	PROPN
ijassa-878	205	51	z	z	NOUN
ijassa-878	206	1	(	(	PUNCT
ijassa-878	206	2	over	over	ADP
ijassa-878	206	3	space	space	NOUN
ijassa-878	206	4	)	)	PUNCT
ijassa-878	206	5	.	.	PUNCT
ijassa-878	207	1	it	it	PRON
ijassa-878	207	2	is	be	AUX
ijassa-878	207	3	obvious	obvious	ADJ
ijassa-878	207	4	that	that	SCONJ
ijassa-878	207	5	for	for	ADP
ijassa-878	207	6	each	each	DET
ijassa-878	207	7	0	0	NUM
ijassa-878	207	8	<	<	X
ijassa-878	207	9	τ	τ	X
ijassa-878	207	10	<	<	X
ijassa-878	207	11	τ̂	τ̂	PUNCT
ijassa-878	207	12	the	the	DET
ijassa-878	207	13	space	space	NOUN
ijassa-878	207	14	k2	k2	PROPN
ijassa-878	207	15	z2(µ2(τ)−ε	z2(µ2(τ)−ε	PROPN
ijassa-878	207	16	)	)	PUNCT
ijassa-878	207	17	,	,	PUNCT
ijassa-878	207	18	for	for	ADP
ijassa-878	207	19	small	small	ADJ
ijassa-878	207	20	ε	ε	PROPN
ijassa-878	207	21	>	>	X
ijassa-878	207	22	0	0	PROPN
ijassa-878	207	23	,	,	PUNCT
ijassa-878	207	24	is	be	AUX
ijassa-878	207	25	much	much	ADV
ijassa-878	207	26	narrower	narrow	ADJ
ijassa-878	207	27	than	than	ADP
ijassa-878	207	28	the	the	DET
ijassa-878	207	29	space	space	NOUN
ijassa-878	207	30	k2	k2	NOUN
ijassa-878	207	31	z2(µ1(τ)+ε	z2(µ1(τ)+ε	NOUN
ijassa-878	207	32	)	)	PUNCT
ijassa-878	207	33	.	.	PUNCT
ijassa-878	208	1	the	the	DET
ijassa-878	208	2	theorem	theorem	NOUN
ijassa-878	208	3	guarantees	guarantee	VERB
ijassa-878	208	4	the	the	DET
ijassa-878	208	5	existence	existence	NOUN
ijassa-878	208	6	of	of	ADP
ijassa-878	208	7	a	a	DET
ijassa-878	208	8	solution	solution	NOUN
ijassa-878	208	9	in	in	ADP
ijassa-878	208	10	narrower	narrow	ADJ
ijassa-878	208	11	spaces	space	NOUN
ijassa-878	208	12	and	and	CCONJ
ijassa-878	208	13	uniqueness	uniqueness	NOUN
ijassa-878	208	14	in	in	ADP
ijassa-878	208	15	wider	wide	ADJ
ijassa-878	208	16	spaces	space	NOUN
ijassa-878	208	17	.	.	PUNCT
ijassa-878	209	1	5	5	X
ijassa-878	209	2	.	.	X
ijassa-878	209	3	approximation	approximation	NOUN
ijassa-878	209	4	of	of	ADP
ijassa-878	209	5	the	the	DET
ijassa-878	209	6	solution	solution	NOUN
ijassa-878	209	7	of	of	ADP
ijassa-878	209	8	a	a	DET
ijassa-878	209	9	functional	functional	ADJ
ijassa-878	209	10	differential	differential	NOUN
ijassa-878	209	11	equation	equation	NOUN
ijassa-878	209	12	defined	define	VERB
ijassa-878	209	13	on	on	ADP
ijassa-878	209	14	the	the	DET
ijassa-878	209	15	line	line	NOUN
ijassa-878	209	16	by	by	ADP
ijassa-878	209	17	solutions	solution	NOUN
ijassa-878	209	18	of	of	ADP
ijassa-878	209	19	an	an	DET
ijassa-878	209	20	initialboundary	initialboundary	ADJ
ijassa-878	209	21	value	value	NOUN
ijassa-878	209	22	problem	problem	NOUN
ijassa-878	209	23	with	with	ADP
ijassa-878	209	24	expanding	expand	VERB
ijassa-878	209	25	intervals	interval	NOUN
ijassa-878	209	26	of	of	ADP
ijassa-878	209	27	the	the	DET
ijassa-878	209	28	definition	definition	NOUN
ijassa-878	209	29	next	next	ADV
ijassa-878	209	30	,	,	PUNCT
ijassa-878	209	31	we	we	PRON
ijassa-878	209	32	consider	consider	VERB
ijassa-878	209	33	soliton	soliton	NOUN
ijassa-878	209	34	solutions	solution	NOUN
ijassa-878	209	35	of	of	ADP
ijassa-878	209	36	the	the	DET
ijassa-878	209	37	system	system	NOUN
ijassa-878	209	38	,	,	PUNCT
ijassa-878	209	39	which	which	PRON
ijassa-878	209	40	will	will	AUX
ijassa-878	209	41	be	be	AUX
ijassa-878	209	42	implemented	implement	VERB
ijassa-878	209	43	as	as	ADP
ijassa-878	209	44	solutions	solution	NOUN
ijassa-878	209	45	of	of	ADP
ijassa-878	209	46	the	the	DET
ijassa-878	209	47	induced	induced	ADJ
ijassa-878	209	48	functional	functional	ADJ
ijassa-878	209	49	differential	differential	ADJ
ijassa-878	209	50	equations	equation	NOUN
ijassa-878	209	51	defined	define	VERB
ijassa-878	209	52	on	on	ADP
ijassa-878	209	53	the	the	DET
ijassa-878	209	54	whole	whole	ADJ
ijassa-878	209	55	line	line	NOUN
ijassa-878	209	56	.	.	PUNCT
ijassa-878	210	1	for	for	ADP
ijassa-878	210	2	the	the	DET
ijassa-878	210	3	numerical	numerical	ADJ
ijassa-878	210	4	integration	integration	NOUN
ijassa-878	210	5	of	of	ADP
ijassa-878	210	6	such	such	DET
ijassa-878	210	7	an	an	DET
ijassa-878	210	8	equation	equation	NOUN
ijassa-878	210	9	,	,	PUNCT
ijassa-878	210	10	one	one	PRON
ijassa-878	210	11	should	should	AUX
ijassa-878	210	12	be	be	AUX
ijassa-878	210	13	able	able	ADJ
ijassa-878	210	14	to	to	PART
ijassa-878	210	15	approximate	approximate	VERB
ijassa-878	210	16	the	the	DET
ijassa-878	210	17	solutions	solution	NOUN
ijassa-878	210	18	of	of	ADP
ijassa-878	210	19	such	such	DET
ijassa-878	210	20	an	an	DET
ijassa-878	210	21	equation	equation	NOUN
ijassa-878	210	22	by	by	ADP
ijassa-878	210	23	the	the	DET
ijassa-878	210	24	solutions	solution	NOUN
ijassa-878	210	25	of	of	ADP
ijassa-878	210	26	initial	initial	ADJ
ijassa-878	210	27	-	-	PUNCT
ijassa-878	210	28	boundary	boundary	NOUN
ijassa-878	210	29	value	value	NOUN
ijassa-878	210	30	problems	problem	NOUN
ijassa-878	210	31	defined	define	VERB
ijassa-878	210	32	on	on	ADP
ijassa-878	210	33	an	an	DET
ijassa-878	210	34	expanding	expand	VERB
ijassa-878	210	35	family	family	NOUN
ijassa-878	210	36	of	of	ADP
ijassa-878	210	37	finite	finite	ADJ
ijassa-878	210	38	intervals	interval	NOUN
ijassa-878	210	39	.	.	PUNCT
ijassa-878	211	1	this	this	DET
ijassa-878	211	2	section	section	NOUN
ijassa-878	211	3	is	be	AUX
ijassa-878	211	4	devoted	devote	VERB
ijassa-878	211	5	to	to	ADP
ijassa-878	211	6	this	this	DET
ijassa-878	211	7	problem	problem	NOUN
ijassa-878	211	8	.	.	PUNCT
ijassa-878	212	1	let	let	VERB
ijassa-878	212	2	’s	’s	NOUN
ijassa-878	212	3	consider	consider	VERB
ijassa-878	212	4	the	the	DET
ijassa-878	212	5	initial	initial	ADJ
ijassa-878	212	6	boundary	boundary	ADJ
ijassa-878	212	7	value	value	NOUN
ijassa-878	212	8	problem	problem	NOUN
ijassa-878	212	9	ẋ(t	ẋ(t	PUNCT
ijassa-878	212	10	)	)	PUNCT
ijassa-878	213	1	=	=	SYM
ijassa-878	213	2	f(t	f(t	NOUN
ijassa-878	213	3	,	,	PUNCT
ijassa-878	213	4	x(t+	x(t+	PROPN
ijassa-878	213	5	τ1	τ1	NOUN
ijassa-878	213	6	)	)	PUNCT
ijassa-878	213	7	,	,	PUNCT
ijassa-878	213	8	.	.	PUNCT
ijassa-878	213	9	.	.	PUNCT
ijassa-878	213	10	.	.	PUNCT
ijassa-878	214	1	,	,	PUNCT
ijassa-878	214	2	x(t+	x(t+	PROPN
ijassa-878	214	3	τs	τs	NUM
ijassa-878	214	4	)	)	PUNCT
ijassa-878	214	5	)	)	PUNCT
ijassa-878	214	6	,	,	PUNCT
ijassa-878	214	7	t	t	PROPN
ijassa-878	214	8	∈	∈	PROPN
ijassa-878	214	9	br	br	PROPN
ijassa-878	214	10	,	,	PUNCT
ijassa-878	214	11	(	(	PUNCT
ijassa-878	214	12	5.16	5.16	NUM
ijassa-878	214	13	)	)	PUNCT
ijassa-878	214	14	ẋ(t	ẋ(t	NOUN
ijassa-878	214	15	)	)	PUNCT
ijassa-878	214	16	=	=	SYM
ijassa-878	214	17	ϕ(t	ϕ(t	PROPN
ijassa-878	214	18	)	)	PUNCT
ijassa-878	214	19	,	,	PUNCT
ijassa-878	214	20	t	t	PROPN
ijassa-878	214	21	∈	∈	PROPN
ijassa-878	214	22	r\br	r\br	PROPN
ijassa-878	214	23	,	,	PUNCT
ijassa-878	214	24	ϕ	ϕ	X
ijassa-878	214	25	(	(	PUNCT
ijassa-878	214	26	·	·	PUNCT
ijassa-878	214	27	)	)	PUNCT
ijassa-878	215	1	∈	∈	PROPN
ijassa-878	215	2	l∞(r	l∞(r	PROPN
ijassa-878	215	3	,	,	PUNCT
ijassa-878	215	4	rn	rn	PROPN
ijassa-878	215	5	)	)	PUNCT
ijassa-878	215	6	,	,	PUNCT
ijassa-878	215	7	(	(	PUNCT
ijassa-878	215	8	5.17	5.17	NUM
ijassa-878	215	9	)	)	PUNCT
ijassa-878	215	10	x(t̄	x(t̄	NUM
ijassa-878	215	11	)	)	PUNCT
ijassa-878	215	12	=	=	PUNCT
ijassa-878	215	13	x̄	x̄	PROPN
ijassa-878	215	14	,	,	PUNCT
ijassa-878	215	15	t̄	t̄	PROPN
ijassa-878	215	16	∈	∈	PROPN
ijassa-878	215	17	r	r	PROPN
ijassa-878	215	18	,	,	PUNCT
ijassa-878	215	19	x̄	x̄	PROPN
ijassa-878	215	20	∈	∈	PROPN
ijassa-878	215	21	rn	rn	PROPN
ijassa-878	215	22	,	,	PUNCT
ijassa-878	215	23	(	(	PUNCT
ijassa-878	215	24	5.18	5.18	NUM
ijassa-878	215	25	)	)	PUNCT
ijassa-878	215	26	where	where	SCONJ
ijassa-878	215	27	τj	τj	ADP
ijassa-878	215	28	∈	∈	PROPN
ijassa-878	215	29	r.	r.	NOUN
ijassa-878	215	30	we	we	PRON
ijassa-878	215	31	formulate	formulate	VERB
ijassa-878	215	32	again	again	ADV
ijassa-878	215	33	the	the	DET
ijassa-878	215	34	theorem	theorem	NOUN
ijassa-878	215	35	on	on	ADP
ijassa-878	215	36	the	the	DET
ijassa-878	215	37	continuous	continuous	ADJ
ijassa-878	215	38	dependence	dependence	NOUN
ijassa-878	215	39	on	on	ADP
ijassa-878	215	40	the	the	DET
ijassa-878	215	41	initialboundary	initialboundary	ADJ
ijassa-878	215	42	conditions	condition	NOUN
ijassa-878	215	43	.	.	PUNCT
ijassa-878	216	1	we	we	PRON
ijassa-878	216	2	define	define	VERB
ijassa-878	216	3	a	a	DET
ijassa-878	216	4	banach	banach	NOUN
ijassa-878	216	5	space	space	NOUN
ijassa-878	216	6	of	of	ADP
ijassa-878	216	7	functions	function	NOUN
ijassa-878	216	8	with	with	ADP
ijassa-878	216	9	weight	weight	NOUN
ijassa-878	216	10	lnµl∞(r	lnµl∞(r	PROPN
ijassa-878	216	11	)	)	PUNCT
ijassa-878	217	1	=	=	PRON
ijassa-878	217	2	{	{	PUNCT
ijassa-878	217	3	ϕ	ϕ	NOUN
ijassa-878	217	4	(	(	PUNCT
ijassa-878	217	5	·	·	PUNCT
ijassa-878	217	6	)	)	PUNCT
ijassa-878	217	7	:	:	PUNCT
ijassa-878	218	1	ϕ	ϕ	X
ijassa-878	218	2	(	(	PUNCT
ijassa-878	218	3	·	·	PUNCT
ijassa-878	218	4	)	)	PUNCT
ijassa-878	218	5	∈	∈	PROPN
ijassa-878	219	1	l∞	l∞	NOUN
ijassa-878	219	2	(	(	PUNCT
ijassa-878	219	3	r	r	NOUN
ijassa-878	219	4	,	,	PUNCT
ijassa-878	219	5	rn	rn	NOUN
ijassa-878	219	6	)	)	PUNCT
ijassa-878	219	7	,	,	PUNCT
ijassa-878	219	8	sup	sup	NOUN
ijassa-878	219	9	t∈r	t∈r	NOUN
ijassa-878	219	10	vrai‖ϕ(t)µ|t|‖rn	vrai‖ϕ(t)µ|t|‖rn	PROPN
ijassa-878	219	11	<	<	X
ijassa-878	220	1	+	+	NOUN
ijassa-878	220	2	∞	∞	NUM
ijassa-878	220	3	}	}	PUNCT
ijassa-878	220	4	,	,	PUNCT
ijassa-878	220	5	µ	µ	X
ijassa-878	220	6	∈	∈	X
ijassa-878	220	7	(	(	PUNCT
ijassa-878	220	8	0	0	NUM
ijassa-878	220	9	,	,	PUNCT
ijassa-878	220	10	1	1	NUM
ijassa-878	220	11	)	)	PUNCT
ijassa-878	220	12	and	and	CCONJ
ijassa-878	220	13	norm	norm	VERB
ijassa-878	220	14	‖ϕ(·)‖µ	‖ϕ(·)‖µ	NUM
ijassa-878	220	15	=	=	SYM
ijassa-878	220	16	sup	sup	NOUN
ijassa-878	220	17	t∈r	t∈r	NOUN
ijassa-878	220	18	vrai‖ϕ(t)µ|t|‖rn	vrai‖ϕ(t)µ|t|‖rn	PROPN
ijassa-878	220	19	.	.	PUNCT
ijassa-878	221	1	if	if	SCONJ
ijassa-878	221	2	in	in	ADP
ijassa-878	221	3	the	the	DET
ijassa-878	221	4	boundary	boundary	ADJ
ijassa-878	221	5	condition	condition	NOUN
ijassa-878	221	6	(	(	PUNCT
ijassa-878	221	7	5.17	5.17	NUM
ijassa-878	221	8	)	)	PUNCT
ijassa-878	221	9	,	,	PUNCT
ijassa-878	221	10	starting	start	VERB
ijassa-878	221	11	with	with	ADP
ijassa-878	221	12	some	some	DET
ijassa-878	221	13	sufficiently	sufficiently	ADV
ijassa-878	221	14	large	large	ADJ
ijassa-878	221	15	k	k	PROPN
ijassa-878	221	16	∈	∈	PROPN
ijassa-878	221	17	z+	z+	NUM
ijassa-878	221	18	with	with	ADP
ijassa-878	221	19	the	the	DET
ijassa-878	221	20	condition	condition	NOUN
ijassa-878	221	21	br	br	X
ijassa-878	222	1	⊂	⊂	PROPN
ijassa-878	223	1	[	[	X
ijassa-878	223	2	−k	−k	PROPN
ijassa-878	223	3	,	,	PUNCT
ijassa-878	223	4	k	k	X
ijassa-878	223	5	]	]	X
ijassa-878	223	6	,	,	PUNCT
ijassa-878	223	7	the	the	DET
ijassa-878	223	8	boundary	boundary	ADJ
ijassa-878	223	9	condition	condition	NOUN
ijassa-878	223	10	ϕ	ϕ	PROPN
ijassa-878	223	11	(	(	PUNCT
ijassa-878	223	12	·	·	PUNCT
ijassa-878	223	13	)	)	PUNCT
ijassa-878	223	14	∈	∈	PROPN
ijassa-878	223	15	l∞(r	l∞(r	NOUN
ijassa-878	223	16	)	)	PUNCT
ijassa-878	223	17	replace	replace	NOUN
ijassa-878	223	18	outside	outside	ADP
ijassa-878	223	19	the	the	DET
ijassa-878	223	20	interval	interval	NOUN
ijassa-878	223	21	br	br	NOUN
ijassa-878	224	1	⊂	⊂	PROPN
ijassa-878	224	2	[	[	X
ijassa-878	224	3	−k	−k	PROPN
ijassa-878	224	4	,	,	PUNCT
ijassa-878	224	5	k	k	X
ijassa-878	224	6	]	]	X
ijassa-878	224	7	so	so	SCONJ
ijassa-878	224	8	that	that	SCONJ
ijassa-878	224	9	the	the	DET
ijassa-878	224	10	new	new	ADJ
ijassa-878	224	11	boundary	boundary	ADJ
ijassa-878	224	12	function	function	NOUN
ijassa-878	224	13	ϕ̃	ϕ̃	PROPN
ijassa-878	224	14	(	(	PUNCT
ijassa-878	224	15	·	·	PUNCT
ijassa-878	224	16	)	)	PUNCT
ijassa-878	224	17	satisfies	satisfy	VERB
ijassa-878	224	18	the	the	DET
ijassa-878	224	19	condition	condition	NOUN
ijassa-878	224	20	ϕ̃	ϕ̃	PROPN
ijassa-878	224	21	(	(	PUNCT
ijassa-878	224	22	·	·	PUNCT
ijassa-878	224	23	)	)	PUNCT
ijassa-878	224	24	∈	∈	PROPN
ijassa-878	224	25	lnµl∞(r	lnµl∞(r	PROPN
ijassa-878	224	26	)	)	PUNCT
ijassa-878	224	27	,	,	PUNCT
ijassa-878	224	28	then	then	ADV
ijassa-878	224	29	the	the	DET
ijassa-878	224	30	corresponding	corresponding	ADJ
ijassa-878	224	31	solution	solution	NOUN
ijassa-878	224	32	x̃	x̃	PROPN
ijassa-878	224	33	(	(	PUNCT
ijassa-878	224	34	·	·	PUNCT
ijassa-878	224	35	)	)	PUNCT
ijassa-878	224	36	of	of	ADP
ijassa-878	224	37	the	the	DET
ijassa-878	224	38	boundary	boundary	ADJ
ijassa-878	224	39	value	value	NOUN
ijassa-878	224	40	problem	problem	NOUN
ijassa-878	224	41	on	on	ADP
ijassa-878	224	42	br	br	PROPN
ijassa-878	224	43	⊂	⊂	PROPN
ijassa-878	225	1	[	[	X
ijassa-878	225	2	−k	−k	PROPN
ijassa-878	225	3	,	,	PUNCT
ijassa-878	225	4	k	k	X
ijassa-878	225	5	]	]	X
ijassa-878	225	6	will	will	AUX
ijassa-878	225	7	match	match	VERB
ijassa-878	225	8	the	the	DET
ijassa-878	225	9	original	original	ADJ
ijassa-878	225	10	solution	solution	NOUN
ijassa-878	225	11	x	x	X
ijassa-878	225	12	(	(	PUNCT
ijassa-878	225	13	·	·	PUNCT
ijassa-878	225	14	)	)	PUNCT
ijassa-878	225	15	.	.	PUNCT
ijassa-878	226	1	we	we	PRON
ijassa-878	226	2	are	be	AUX
ijassa-878	226	3	going	go	VERB
ijassa-878	226	4	to	to	PART
ijassa-878	226	5	formulate	formulate	VERB
ijassa-878	226	6	a	a	DET
ijassa-878	226	7	proposition	proposition	NOUN
ijassa-878	226	8	on	on	ADP
ijassa-878	226	9	the	the	DET
ijassa-878	226	10	approximation	approximation	NOUN
ijassa-878	226	11	of	of	ADP
ijassa-878	226	12	solutions	solution	NOUN
ijassa-878	226	13	of	of	ADP
ijassa-878	226	14	an	an	DET
ijassa-878	226	15	initialboundary	initialboundary	ADJ
ijassa-878	226	16	value	value	NOUN
ijassa-878	226	17	problem	problem	NOUN
ijassa-878	226	18	defined	define	VERB
ijassa-878	226	19	on	on	ADP
ijassa-878	226	20	the	the	DET
ijassa-878	226	21	whole	whole	ADJ
ijassa-878	226	22	line	line	NOUN
ijassa-878	226	23	by	by	ADP
ijassa-878	226	24	solutions	solution	NOUN
ijassa-878	226	25	of	of	ADP
ijassa-878	226	26	the	the	DET
ijassa-878	226	27	initial	initial	ADJ
ijassa-878	226	28	-	-	PUNCT
ijassa-878	226	29	boundary	boundary	NOUN
ijassa-878	226	30	value	value	NOUN
ijassa-878	226	31	copyright	copyright	NOUN
ijassa-878	226	32	©	©	PROPN
ijassa-878	226	33	2020	2020	NUM
ijassa-878	226	34	assa	assa	NOUN
ijassa-878	226	35	.	.	PUNCT
ijassa-878	227	1	adv	adv	PROPN
ijassa-878	227	2	syst	syst	PROPN
ijassa-878	227	3	sci	sci	PROPN
ijassa-878	227	4	appl	appl	PROPN
ijassa-878	227	5	(	(	PUNCT
ijassa-878	227	6	2020	2020	NUM
ijassa-878	227	7	)	)	PUNCT
ijassa-878	227	8	numerical	numerical	ADJ
ijassa-878	227	9	methods	method	NOUN
ijassa-878	227	10	for	for	ADP
ijassa-878	227	11	functional	functional	ADJ
ijassa-878	227	12	differential	differential	ADJ
ijassa-878	227	13	equations	equation	NOUN
ijassa-878	227	14	65	65	NUM
ijassa-878	227	15	problem	problem	NOUN
ijassa-878	227	16	defined	define	VERB
ijassa-878	227	17	on	on	ADP
ijassa-878	227	18	the	the	DET
ijassa-878	227	19	interval	interval	NOUN
ijassa-878	227	20	[	[	X
ijassa-878	227	21	−k	−k	PROPN
ijassa-878	227	22	,	,	PUNCT
ijassa-878	227	23	k	k	X
ijassa-878	227	24	]	]	X
ijassa-878	227	25	as	as	SCONJ
ijassa-878	227	26	k	k	PROPN
ijassa-878	227	27	→	→	PROPN
ijassa-878	227	28	+	+	PROPN
ijassa-878	227	29	∞.	∞.	PROPN
ijassa-878	227	30	we	we	PRON
ijassa-878	227	31	consider	consider	VERB
ijassa-878	227	32	the	the	DET
ijassa-878	227	33	initial	initial	ADJ
ijassa-878	227	34	-	-	PUNCT
ijassa-878	227	35	boundary	boundary	NOUN
ijassa-878	227	36	value	value	NOUN
ijassa-878	227	37	problem	problem	NOUN
ijassa-878	227	38	on	on	ADP
ijassa-878	227	39	the	the	DET
ijassa-878	227	40	whole	whole	ADJ
ijassa-878	227	41	line	line	NOUN
ijassa-878	227	42	br	br	INTJ
ijassa-878	228	1	=	=	SYM
ijassa-878	228	2	r	r	NOUN
ijassa-878	228	3	ẋ(t	ẋ(t	NOUN
ijassa-878	228	4	)	)	PUNCT
ijassa-878	229	1	=	=	PUNCT
ijassa-878	229	2	f(t	f(t	NOUN
ijassa-878	229	3	,	,	PUNCT
ijassa-878	229	4	x(t+	x(t+	PROPN
ijassa-878	229	5	τ1	τ1	NOUN
ijassa-878	229	6	)	)	PUNCT
ijassa-878	229	7	,	,	PUNCT
ijassa-878	229	8	.	.	PUNCT
ijassa-878	229	9	.	.	PUNCT
ijassa-878	229	10	.	.	PUNCT
ijassa-878	230	1	,	,	PUNCT
ijassa-878	230	2	x(t+	x(t+	PROPN
ijassa-878	230	3	τs	τs	NUM
ijassa-878	230	4	)	)	PUNCT
ijassa-878	230	5	)	)	PUNCT
ijassa-878	230	6	,	,	PUNCT
ijassa-878	230	7	t	t	PROPN
ijassa-878	230	8	∈	∈	PROPN
ijassa-878	230	9	r	r	PROPN
ijassa-878	230	10	,	,	PUNCT
ijassa-878	230	11	(	(	PUNCT
ijassa-878	230	12	5.19	5.19	NUM
ijassa-878	230	13	)	)	PUNCT
ijassa-878	230	14	x(t̄	x(t̄	NUM
ijassa-878	230	15	)	)	PUNCT
ijassa-878	231	1	=	=	PUNCT
ijassa-878	231	2	x̄	x̄	PROPN
ijassa-878	231	3	,	,	PUNCT
ijassa-878	231	4	t̄	t̄	PROPN
ijassa-878	231	5	∈	∈	PROPN
ijassa-878	231	6	r	r	PROPN
ijassa-878	231	7	,	,	PUNCT
ijassa-878	231	8	x̄	x̄	PROPN
ijassa-878	231	9	∈	∈	PROPN
ijassa-878	231	10	rn	rn	PROPN
ijassa-878	231	11	,	,	PUNCT
ijassa-878	231	12	(	(	PUNCT
ijassa-878	231	13	5.20	5.20	NUM
ijassa-878	231	14	)	)	PUNCT
ijassa-878	231	15	where	where	SCONJ
ijassa-878	231	16	τj	τj	ADP
ijassa-878	231	17	∈	∈	PROPN
ijassa-878	231	18	r	r	PROPN
ijassa-878	231	19	,	,	PUNCT
ijassa-878	231	20	j	j	PROPN
ijassa-878	231	21	=	=	SYM
ijassa-878	231	22	1	1	NUM
ijassa-878	231	23	,	,	PUNCT
ijassa-878	231	24	.	.	PUNCT
ijassa-878	231	25	.	.	PUNCT
ijassa-878	231	26	.	.	PUNCT
ijassa-878	231	27	,	,	PUNCT
ijassa-878	231	28	s	s	X
ijassa-878	231	29	,	,	PUNCT
ijassa-878	231	30	j	j	PROPN
ijassa-878	231	31	=	=	SYM
ijassa-878	231	32	1	1	NUM
ijassa-878	231	33	,	,	PUNCT
ijassa-878	231	34	.	.	PUNCT
ijassa-878	231	35	.	.	PUNCT
ijassa-878	231	36	.	.	PUNCT
ijassa-878	232	1	,	,	PUNCT
ijassa-878	232	2	s.	s.	PROPN
ijassa-878	232	3	for	for	ADP
ijassa-878	232	4	each	each	DET
ijassa-878	232	5	k	k	PROPN
ijassa-878	232	6	∈	∈	PROPN
ijassa-878	232	7	z	z	NOUN
ijassa-878	232	8	we	we	PRON
ijassa-878	232	9	consider	consider	VERB
ijassa-878	232	10	the	the	DET
ijassa-878	232	11	initial	initial	ADJ
ijassa-878	232	12	-	-	PUNCT
ijassa-878	232	13	boundary	boundary	NOUN
ijassa-878	232	14	value	value	NOUN
ijassa-878	232	15	problem	problem	NOUN
ijassa-878	232	16	on	on	ADP
ijassa-878	232	17	a	a	DET
ijassa-878	232	18	finite	finite	ADJ
ijassa-878	232	19	interval	interval	NOUN
ijassa-878	232	20	br	br	NOUN
ijassa-878	233	1	=	=	PUNCT
ijassa-878	234	1	[	[	X
ijassa-878	234	2	−k	−k	PROPN
ijassa-878	234	3	,	,	PUNCT
ijassa-878	234	4	k	k	X
ijassa-878	234	5	]	]	X
ijassa-878	234	6	ẋ(t	ẋ(t	NUM
ijassa-878	234	7	)	)	PUNCT
ijassa-878	234	8	=	=	PUNCT
ijassa-878	234	9	f(t	f(t	NOUN
ijassa-878	234	10	,	,	PUNCT
ijassa-878	234	11	x(t+	x(t+	PROPN
ijassa-878	234	12	τ1	τ1	NOUN
ijassa-878	234	13	)	)	PUNCT
ijassa-878	234	14	,	,	PUNCT
ijassa-878	234	15	.	.	PUNCT
ijassa-878	234	16	.	.	PUNCT
ijassa-878	234	17	.	.	PUNCT
ijassa-878	235	1	,	,	PUNCT
ijassa-878	235	2	x(t+	x(t+	PROPN
ijassa-878	235	3	τs	τs	NUM
ijassa-878	235	4	)	)	PUNCT
ijassa-878	235	5	)	)	PUNCT
ijassa-878	235	6	,	,	PUNCT
ijassa-878	235	7	t	t	PROPN
ijassa-878	235	8	∈	∈	PROPN
ijassa-878	236	1	[	[	X
ijassa-878	236	2	−k	−k	PROPN
ijassa-878	236	3	,	,	PUNCT
ijassa-878	236	4	k	k	X
ijassa-878	236	5	]	]	X
ijassa-878	236	6	,	,	PUNCT
ijassa-878	236	7	(	(	PUNCT
ijassa-878	236	8	5.21	5.21	NUM
ijassa-878	236	9	)	)	PUNCT
ijassa-878	236	10	ẋ(t	ẋ(t	NOUN
ijassa-878	236	11	)	)	PUNCT
ijassa-878	237	1	=	=	SYM
ijassa-878	237	2	ϕ(t	ϕ(t	PROPN
ijassa-878	237	3	)	)	PUNCT
ijassa-878	237	4	,	,	PUNCT
ijassa-878	237	5	t	t	PROPN
ijassa-878	237	6	∈	∈	PROPN
ijassa-878	238	1	r\[−k	r\[−k	NOUN
ijassa-878	238	2	,	,	PUNCT
ijassa-878	238	3	k	k	PROPN
ijassa-878	238	4	]	]	X
ijassa-878	238	5	,	,	PUNCT
ijassa-878	238	6	ϕ	ϕ	X
ijassa-878	238	7	(	(	PUNCT
ijassa-878	238	8	·	·	PUNCT
ijassa-878	238	9	)	)	PUNCT
ijassa-878	238	10	∈	∈	PROPN
ijassa-878	238	11	ln1l∞(r	ln1l∞(r	NOUN
ijassa-878	238	12	)	)	PUNCT
ijassa-878	238	13	,	,	PUNCT
ijassa-878	238	14	(	(	PUNCT
ijassa-878	238	15	5.22	5.22	NUM
ijassa-878	238	16	)	)	PUNCT
ijassa-878	238	17	x(t̄	x(t̄	NUM
ijassa-878	238	18	)	)	PUNCT
ijassa-878	238	19	=	=	PUNCT
ijassa-878	239	1	x̄	x̄	PROPN
ijassa-878	239	2	,	,	PUNCT
ijassa-878	239	3	t̄	t̄	PROPN
ijassa-878	239	4	∈	∈	PROPN
ijassa-878	239	5	r	r	PROPN
ijassa-878	239	6	,	,	PUNCT
ijassa-878	239	7	x̄	x̄	PROPN
ijassa-878	239	8	∈	∈	PROPN
ijassa-878	239	9	rn	rn	PROPN
ijassa-878	239	10	.	.	PROPN
ijassa-878	239	11	(	(	PUNCT
ijassa-878	239	12	5.23	5.23	NUM
ijassa-878	239	13	)	)	PUNCT
ijassa-878	239	14	theorem	theorem	VERB
ijassa-878	239	15	5.1	5.1	NUM
ijassa-878	239	16	(	(	PUNCT
ijassa-878	239	17	[	[	X
ijassa-878	239	18	31	31	NUM
ijassa-878	239	19	]	]	PUNCT
ijassa-878	239	20	):	):	PUNCT
ijassa-878	239	21	let	let	VERB
ijassa-878	239	22	the	the	DET
ijassa-878	239	23	map	map	NOUN
ijassa-878	239	24	f	f	X
ijassa-878	239	25	(	(	PUNCT
ijassa-878	239	26	·	·	PUNCT
ijassa-878	239	27	)	)	PUNCT
ijassa-878	239	28	satisfies	satisfy	VERB
ijassa-878	239	29	the	the	DET
ijassa-878	239	30	conditions	condition	NOUN
ijassa-878	239	31	(	(	PUNCT
ijassa-878	239	32	a)−	a)−	X
ijassa-878	239	33	(	(	PUNCT
ijassa-878	239	34	d	d	NOUN
ijassa-878	239	35	)	)	PUNCT
ijassa-878	239	36	.	.	PUNCT
ijassa-878	240	1	if	if	SCONJ
ijassa-878	240	2	for	for	ADP
ijassa-878	240	3	µ	µ	PRON
ijassa-878	240	4	∈	∈	NOUN
ijassa-878	240	5	(	(	PUNCT
ijassa-878	240	6	0	0	NUM
ijassa-878	240	7	,	,	PUNCT
ijassa-878	240	8	µ	µ	NOUN
ijassa-878	240	9	?	?	PUNCT
ijassa-878	240	10	)	)	PUNCT
ijassa-878	240	11	∩	∩	NOUN
ijassa-878	240	12	(	(	PUNCT
ijassa-878	240	13	0	0	NUM
ijassa-878	240	14	,	,	PUNCT
ijassa-878	240	15	1	1	NUM
ijassa-878	240	16	)	)	PUNCT
ijassa-878	240	17	the	the	DET
ijassa-878	240	18	inequality	inequality	NOUN
ijassa-878	240	19	lf	lf	ADP
ijassa-878	240	20	s∑	s∑	PROPN
ijassa-878	240	21	j=1	j=1	PROPN
ijassa-878	240	22	µ−|τj	µ−|τj	PROPN
ijassa-878	241	1	|	|	ADV
ijassa-878	241	2	<	<	X
ijassa-878	241	3	lnµ−1	lnµ−1	PROPN
ijassa-878	241	4	(	(	PUNCT
ijassa-878	241	5	5.24	5.24	NUM
ijassa-878	241	6	)	)	PUNCT
ijassa-878	241	7	holds	hold	VERB
ijassa-878	241	8	,	,	PUNCT
ijassa-878	241	9	and	and	CCONJ
ijassa-878	241	10	(	(	PUNCT
ijassa-878	241	11	µ1(lf	µ1(lf	PROPN
ijassa-878	241	12	;	;	PUNCT
ijassa-878	241	13	h	h	X
ijassa-878	241	14	)	)	PUNCT
ijassa-878	241	15	,	,	PUNCT
ijassa-878	241	16	µ2(lf	µ2(lf	PROPN
ijassa-878	241	17	;	;	PUNCT
ijassa-878	241	18	h	h	NOUN
ijassa-878	241	19	)	)	PUNCT
ijassa-878	241	20	)	)	PUNCT
ijassa-878	241	21	is	be	AUX
ijassa-878	241	22	the	the	DET
ijassa-878	241	23	maximum	maximum	ADJ
ijassa-878	241	24	solution	solution	NOUN
ijassa-878	241	25	interval	interval	NOUN
ijassa-878	241	26	for	for	ADP
ijassa-878	241	27	the	the	DET
ijassa-878	241	28	inequality	inequality	NOUN
ijassa-878	241	29	(	(	PUNCT
ijassa-878	241	30	5.24	5.24	NUM
ijassa-878	241	31	)	)	PUNCT
ijassa-878	241	32	,	,	PUNCT
ijassa-878	241	33	then	then	ADV
ijassa-878	241	34	for	for	ADP
ijassa-878	241	35	any	any	DET
ijassa-878	241	36	x̄	x̄	PROPN
ijassa-878	241	37	∈	∈	PROPN
ijassa-878	241	38	rn	rn	PROPN
ijassa-878	241	39	,	,	PUNCT
ijassa-878	241	40	ϕ	ϕ	PROPN
ijassa-878	241	41	(	(	PUNCT
ijassa-878	241	42	·	·	PUNCT
ijassa-878	241	43	)	)	PUNCT
ijassa-878	241	44	∈	∈	PROPN
ijassa-878	241	45	ln1l∞(r	ln1l∞(r	NOUN
ijassa-878	241	46	)	)	PUNCT
ijassa-878	241	47	,	,	PUNCT
ijassa-878	241	48	the	the	DET
ijassa-878	241	49	solution	solution	NOUN
ijassa-878	241	50	x̂	x̂	NUM
ijassa-878	241	51	(	(	PUNCT
ijassa-878	241	52	·	·	PUNCT
ijassa-878	241	53	)	)	PUNCT
ijassa-878	241	54	of	of	ADP
ijassa-878	241	55	the	the	DET
ijassa-878	241	56	initial	initial	ADJ
ijassa-878	241	57	-	-	PUNCT
ijassa-878	241	58	boundary	boundary	NOUN
ijassa-878	241	59	value	value	NOUN
ijassa-878	241	60	problem	problem	NOUN
ijassa-878	241	61	(	(	PUNCT
ijassa-878	241	62	5.19)-(5.20	5.19)-(5.20	NUM
ijassa-878	241	63	)	)	PUNCT
ijassa-878	241	64	,	,	PUNCT
ijassa-878	241	65	as	as	ADP
ijassa-878	241	66	an	an	DET
ijassa-878	241	67	element	element	NOUN
ijassa-878	241	68	of	of	ADP
ijassa-878	241	69	the	the	DET
ijassa-878	241	70	space	space	NOUN
ijassa-878	241	71	lnµc(0)(r	lnµc(0)(r	PROPN
ijassa-878	241	72	)	)	PUNCT
ijassa-878	241	73	,	,	PUNCT
ijassa-878	241	74	is	be	AUX
ijassa-878	241	75	approximated	approximate	VERB
ijassa-878	241	76	by	by	ADP
ijassa-878	241	77	solutions	solution	NOUN
ijassa-878	241	78	x̂k	x̂k	PROPN
ijassa-878	241	79	(	(	PUNCT
ijassa-878	241	80	·	·	PUNCT
ijassa-878	241	81	)	)	PUNCT
ijassa-878	241	82	of	of	ADP
ijassa-878	241	83	the	the	DET
ijassa-878	241	84	initial	initial	ADJ
ijassa-878	241	85	-	-	PUNCT
ijassa-878	241	86	boundary	boundary	NOUN
ijassa-878	241	87	value	value	NOUN
ijassa-878	241	88	problem	problem	NOUN
ijassa-878	241	89	(	(	PUNCT
ijassa-878	241	90	5.21)–(5.23	5.21)–(5.23	NUM
ijassa-878	241	91	)	)	PUNCT
ijassa-878	241	92	as	as	ADP
ijassa-878	241	93	k	k	PROPN
ijassa-878	241	94	→	→	PROPN
ijassa-878	241	95	+	+	PROPN
ijassa-878	241	96	∞.	∞.	PROPN
ijassa-878	241	97	moreover	moreover	ADV
ijassa-878	241	98	,	,	PUNCT
ijassa-878	241	99	for	for	ADP
ijassa-878	241	100	any	any	DET
ijassa-878	241	101	arbitrarily	arbitrarily	ADV
ijassa-878	241	102	small	small	ADJ
ijassa-878	241	103	ε	ε	PROPN
ijassa-878	241	104	,	,	PUNCT
ijassa-878	241	105	0	0	PUNCT
ijassa-878	241	106	<	<	X
ijassa-878	241	107	ε	ε	X
ijassa-878	241	108	<	<	X
ijassa-878	241	109	µ2	µ2	PROPN
ijassa-878	241	110	−	−	PROPN
ijassa-878	242	1	µ1	µ1	PROPN
ijassa-878	242	2	there	there	PRON
ijassa-878	242	3	is	be	VERB
ijassa-878	242	4	cfϕε	cfϕε	NOUN
ijassa-878	242	5	such	such	ADJ
ijassa-878	242	6	that	that	SCONJ
ijassa-878	242	7	the	the	DET
ijassa-878	242	8	following	follow	VERB
ijassa-878	242	9	estimate	estimate	NOUN
ijassa-878	242	10	is	be	AUX
ijassa-878	242	11	true	true	ADJ
ijassa-878	242	12	‖x̂(·)−	‖x̂(·)−	NOUN
ijassa-878	242	13	x̂k(·)‖(0	x̂k(·)‖(0	NOUN
ijassa-878	242	14	)	)	PUNCT
ijassa-878	242	15	µ	µ	PRON
ijassa-878	242	16	≤	≤	NOUN
ijassa-878	242	17	cfϕε	cfϕε	NOUN
ijassa-878	242	18	(	(	PUNCT
ijassa-878	242	19	µ1(lf	µ1(lf	PROPN
ijassa-878	242	20	;	;	PUNCT
ijassa-878	242	21	h	h	X
ijassa-878	242	22	)	)	PUNCT
ijassa-878	242	23	µ2(lf	µ2(lf	PROPN
ijassa-878	242	24	;	;	PUNCT
ijassa-878	242	25	h)−	h)−	PROPN
ijassa-878	242	26	ε	ε	PROPN
ijassa-878	242	27	)	)	PUNCT
ijassa-878	242	28	k	k	PROPN
ijassa-878	242	29	.	.	PUNCT
ijassa-878	243	1	from	from	ADP
ijassa-878	243	2	the	the	DET
ijassa-878	243	3	estimate	estimate	NOUN
ijassa-878	243	4	it	it	PRON
ijassa-878	243	5	follows	follow	VERB
ijassa-878	243	6	that	that	SCONJ
ijassa-878	243	7	the	the	DET
ijassa-878	243	8	convergence	convergence	NOUN
ijassa-878	243	9	rate	rate	NOUN
ijassa-878	243	10	will	will	AUX
ijassa-878	243	11	be	be	AUX
ijassa-878	243	12	the	the	DET
ijassa-878	243	13	higher	high	ADJ
ijassa-878	243	14	,	,	PUNCT
ijassa-878	243	15	the	the	PRON
ijassa-878	243	16	more	more	ADJ
ijassa-878	243	17	the	the	DET
ijassa-878	243	18	µ1(lf	µ1(lf	PROPN
ijassa-878	243	19	;	;	PUNCT
ijassa-878	243	20	h	h	X
ijassa-878	243	21	)	)	PUNCT
ijassa-878	243	22	and	and	CCONJ
ijassa-878	243	23	µ2(lf	µ2(lf	PROPN
ijassa-878	243	24	;	;	PUNCT
ijassa-878	243	25	h	h	X
ijassa-878	243	26	)	)	PUNCT
ijassa-878	243	27	values	value	NOUN
ijassa-878	243	28	will	will	AUX
ijassa-878	243	29	differ	differ	VERB
ijassa-878	243	30	from	from	ADP
ijassa-878	243	31	each	each	DET
ijassa-878	243	32	other	other	ADJ
ijassa-878	243	33	,	,	PUNCT
ijassa-878	243	34	the	the	DET
ijassa-878	243	35	difference	difference	NOUN
ijassa-878	243	36	between	between	ADP
ijassa-878	243	37	them	they	PRON
ijassa-878	243	38	is	be	AUX
ijassa-878	243	39	inversely	inversely	ADV
ijassa-878	243	40	proportional	proportional	ADJ
ijassa-878	243	41	to	to	ADP
ijassa-878	243	42	the	the	DET
ijassa-878	243	43	value	value	NOUN
ijassa-878	243	44	of	of	ADP
ijassa-878	243	45	lf	lf	PROPN
ijassa-878	243	46	max1≤j≤s	max1≤j≤s	PROPN
ijassa-878	243	47	|τj|	|τj|	PROPN
ijassa-878	243	48	.	.	PROPN
ijassa-878	244	1	6	6	NUM
ijassa-878	244	2	.	.	PUNCT
ijassa-878	244	3	construction	construction	NOUN
ijassa-878	244	4	of	of	ADP
ijassa-878	244	5	the	the	DET
ijassa-878	244	6	complete	complete	ADJ
ijassa-878	244	7	family	family	NOUN
ijassa-878	244	8	of	of	ADP
ijassa-878	244	9	traveling	travel	VERB
ijassa-878	244	10	wave	wave	NOUN
ijassa-878	244	11	type	type	NOUN
ijassa-878	244	12	solutions	solution	NOUN
ijassa-878	244	13	in	in	ADP
ijassa-878	244	14	the	the	DET
ijassa-878	244	15	frenkel	frenkel	NOUN
ijassa-878	244	16	-	-	PUNCT
ijassa-878	244	17	kontorova	kontorova	NOUN
ijassa-878	244	18	model	model	NOUN
ijassa-878	244	19	considering	consider	VERB
ijassa-878	244	20	periodic	periodic	ADJ
ijassa-878	244	21	functionals	functional	NOUN
ijassa-878	244	22	for	for	ADP
ijassa-878	244	23	the	the	DET
ijassa-878	244	24	model	model	NOUN
ijassa-878	244	25	from	from	ADP
ijassa-878	244	26	the	the	DET
ijassa-878	244	27	section	section	NOUN
ijassa-878	244	28	4	4	NUM
ijassa-878	244	29	,	,	PUNCT
ijassa-878	244	30	we	we	PRON
ijassa-878	244	31	obtain	obtain	VERB
ijassa-878	244	32	the	the	DET
ijassa-878	244	33	frenkelkontorova	frenkelkontorova	VERB
ijassa-878	244	34	model	model	NOUN
ijassa-878	244	35	from	from	ADP
ijassa-878	244	36	the	the	DET
ijassa-878	244	37	theory	theory	NOUN
ijassa-878	244	38	of	of	ADP
ijassa-878	244	39	plastic	plastic	ADJ
ijassa-878	244	40	deformation	deformation	NOUN
ijassa-878	244	41	.	.	PUNCT
ijassa-878	245	1	in	in	ADP
ijassa-878	245	2	this	this	DET
ijassa-878	245	3	case	case	NOUN
ijassa-878	245	4	,	,	PUNCT
ijassa-878	245	5	taking	take	VERB
ijassa-878	245	6	the	the	DET
ijassa-878	245	7	functional	functional	ADJ
ijassa-878	245	8	φ(y	φ(y	NOUN
ijassa-878	245	9	)	)	PUNCT
ijassa-878	245	10	=	=	SYM
ijassa-878	245	11	a	a	DET
ijassa-878	245	12	sin(by	sin(by	NOUN
ijassa-878	245	13	)	)	PUNCT
ijassa-878	245	14	,	,	PUNCT
ijassa-878	245	15	a	a	DET
ijassa-878	245	16	,	,	PUNCT
ijassa-878	245	17	b	b	X
ijassa-878	245	18	∈	∈	NOUN
ijassa-878	245	19	r	r	NOUN
ijassa-878	245	20	mÿi(t	mÿi(t	NOUN
ijassa-878	245	21	)	)	PUNCT
ijassa-878	245	22	=	=	SYM
ijassa-878	245	23	yi+1(t)−	yi+1(t)−	PROPN
ijassa-878	245	24	2yi(t	2yi(t	NUM
ijassa-878	245	25	)	)	PUNCT
ijassa-878	246	1	+	+	NUM
ijassa-878	246	2	yi−1(t	yi−1(t	X
ijassa-878	246	3	)	)	PUNCT
ijassa-878	247	1	+	+	X
ijassa-878	247	2	asin(byi(t	asin(byi(t	NOUN
ijassa-878	247	3	)	)	PUNCT
ijassa-878	247	4	)	)	PUNCT
ijassa-878	247	5	,	,	PUNCT
ijassa-878	247	6	i	i	PRON
ijassa-878	247	7	∈	∈	PROPN
ijassa-878	248	1	z	z	PROPN
ijassa-878	248	2	,	,	PUNCT
ijassa-878	248	3	yi	yi	PROPN
ijassa-878	248	4	∈	∈	PROPN
ijassa-878	248	5	r	r	PROPN
ijassa-878	248	6	,	,	PUNCT
ijassa-878	248	7	t	t	PROPN
ijassa-878	248	8	∈	∈	PROPN
ijassa-878	248	9	r	r	PROPN
ijassa-878	248	10	,	,	PUNCT
ijassa-878	248	11	(	(	PUNCT
ijassa-878	248	12	6.25	6.25	NUM
ijassa-878	248	13	)	)	PUNCT
ijassa-878	248	14	yi(t+	yi(t+	PROPN
ijassa-878	248	15	τ	τ	PROPN
ijassa-878	248	16	)	)	PUNCT
ijassa-878	248	17	=	=	SYM
ijassa-878	248	18	yi+1(t	yi+1(t	PROPN
ijassa-878	248	19	)	)	PUNCT
ijassa-878	248	20	,	,	PUNCT
ijassa-878	248	21	τ	τ	X
ijassa-878	248	22	>	>	X
ijassa-878	248	23	0	0	NUM
ijassa-878	248	24	,	,	PUNCT
ijassa-878	248	25	(	(	PUNCT
ijassa-878	248	26	6.26	6.26	NUM
ijassa-878	248	27	)	)	PUNCT
ijassa-878	248	28	we	we	PRON
ijassa-878	248	29	construct	construct	VERB
ijassa-878	248	30	solutions	solution	NOUN
ijassa-878	248	31	of	of	ADP
ijassa-878	248	32	the	the	DET
ijassa-878	248	33	traveling	travel	VERB
ijassa-878	248	34	wave	wave	NOUN
ijassa-878	248	35	type	type	NOUN
ijassa-878	248	36	with	with	ADP
ijassa-878	248	37	characteristic	characteristic	ADJ
ijassa-878	248	38	τ	τ	X
ijassa-878	248	39	.	.	PUNCT
ijassa-878	249	1	as	as	SCONJ
ijassa-878	249	2	noted	note	VERB
ijassa-878	249	3	earlier	early	ADV
ijassa-878	249	4	,	,	PUNCT
ijassa-878	249	5	the	the	DET
ijassa-878	249	6	space	space	NOUN
ijassa-878	249	7	of	of	ADP
ijassa-878	249	8	traveling	travel	VERB
ijassa-878	249	9	wave	wave	NOUN
ijassa-878	249	10	type	type	NOUN
ijassa-878	249	11	solutions	solution	NOUN
ijassa-878	249	12	for	for	ADP
ijassa-878	249	13	such	such	DET
ijassa-878	249	14	a	a	DET
ijassa-878	249	15	system	system	NOUN
ijassa-878	249	16	coincides	coincide	VERB
ijassa-878	249	17	with	with	ADP
ijassa-878	249	18	the	the	DET
ijassa-878	249	19	space	space	NOUN
ijassa-878	249	20	of	of	ADP
ijassa-878	249	21	solutions	solution	NOUN
ijassa-878	249	22	of	of	ADP
ijassa-878	249	23	the	the	DET
ijassa-878	249	24	fdept	fdept	NOUN
ijassa-878	249	25	system	system	NOUN
ijassa-878	249	26	ẋ1(t	ẋ1(t	PROPN
ijassa-878	249	27	)	)	PUNCT
ijassa-878	250	1	=	=	PUNCT
ijassa-878	250	2	τx2(t	τx2(t	PROPN
ijassa-878	250	3	)	)	PUNCT
ijassa-878	250	4	,	,	PUNCT
ijassa-878	250	5	t	t	PROPN
ijassa-878	250	6	∈	∈	PROPN
ijassa-878	250	7	r	r	NOUN
ijassa-878	250	8	,	,	PUNCT
ijassa-878	250	9	ẋ2(t	ẋ2(t	PROPN
ijassa-878	250	10	)	)	PUNCT
ijassa-878	251	1	=	=	SYM
ijassa-878	251	2	τm−1[x1(t+	τm−1[x1(t+	NOUN
ijassa-878	252	1	1)−	1)−	NUM
ijassa-878	252	2	2x1(t	2x1(t	NUM
ijassa-878	252	3	)	)	PUNCT
ijassa-878	253	1	+	+	NUM
ijassa-878	253	2	x1(t−	x1(t−	NOUN
ijassa-878	253	3	1	1	X
ijassa-878	253	4	)	)	PUNCT
ijassa-878	253	5	+	+	CCONJ
ijassa-878	253	6	a	a	DET
ijassa-878	253	7	sin(bx1(t	sin(bx1(t	PROPN
ijassa-878	253	8	)	)	PUNCT
ijassa-878	253	9	)	)	PUNCT
ijassa-878	253	10	]	]	PUNCT
ijassa-878	253	11	.	.	PUNCT
ijassa-878	254	1	(	(	PUNCT
ijassa-878	254	2	6.27	6.27	NUM
ijassa-878	254	3	)	)	PUNCT
ijassa-878	254	4	moreover	moreover	ADV
ijassa-878	254	5	,	,	PUNCT
ijassa-878	254	6	there	there	PRON
ijassa-878	254	7	is	be	VERB
ijassa-878	254	8	a	a	DET
ijassa-878	254	9	correspondence	correspondence	NOUN
ijassa-878	254	10	of	of	ADP
ijassa-878	254	11	solutions	solution	NOUN
ijassa-878	254	12	according	accord	VERB
ijassa-878	254	13	to	to	ADP
ijassa-878	254	14	the	the	DET
ijassa-878	254	15	rule	rule	NOUN
ijassa-878	254	16	yi(t	yi(t	NOUN
ijassa-878	254	17	)	)	PUNCT
ijassa-878	255	1	=	=	PUNCT
ijassa-878	255	2	x(τ−1t+	x(τ−1t+	PROPN
ijassa-878	256	1	i	i	PROPN
ijassa-878	256	2	)	)	PUNCT
ijassa-878	256	3	.	.	PUNCT
ijassa-878	257	1	we	we	PRON
ijassa-878	257	2	will	will	AUX
ijassa-878	257	3	construct	construct	VERB
ijassa-878	257	4	numerical	numerical	ADJ
ijassa-878	257	5	solutions	solution	NOUN
ijassa-878	257	6	of	of	ADP
ijassa-878	257	7	the	the	DET
ijassa-878	257	8	system	system	NOUN
ijassa-878	257	9	(	(	PUNCT
ijassa-878	257	10	6.27	6.27	NUM
ijassa-878	257	11	)	)	PUNCT
ijassa-878	257	12	using	use	VERB
ijassa-878	257	13	the	the	DET
ijassa-878	257	14	approximation	approximation	NOUN
ijassa-878	257	15	theorem	theorem	VERB
ijassa-878	257	16	5.1	5.1	NUM
ijassa-878	257	17	.	.	PUNCT
ijassa-878	258	1	copyright	copyright	NOUN
ijassa-878	258	2	©	©	PROPN
ijassa-878	258	3	2020	2020	NUM
ijassa-878	258	4	assa	assa	NOUN
ijassa-878	258	5	.	.	PUNCT
ijassa-878	259	1	adv	adv	PROPN
ijassa-878	259	2	syst	syst	PROPN
ijassa-878	259	3	sci	sci	PROPN
ijassa-878	259	4	appl	appl	PROPN
ijassa-878	259	5	(	(	PUNCT
ijassa-878	259	6	2020	2020	NUM
ijassa-878	259	7	)	)	PUNCT
ijassa-878	259	8	66	66	NUM
ijassa-878	259	9	a.	a.	NOUN
ijassa-878	259	10	beklaryan	beklaryan	X
ijassa-878	259	11	6.1	6.1	NUM
ijassa-878	259	12	.	.	PUNCT
ijassa-878	260	1	numerical	numerical	ADJ
ijassa-878	260	2	experiments	experiment	NOUN
ijassa-878	260	3	next	next	ADV
ijassa-878	260	4	,	,	PUNCT
ijassa-878	260	5	the	the	DET
ijassa-878	260	6	results	result	NOUN
ijassa-878	260	7	of	of	ADP
ijassa-878	260	8	the	the	DET
ijassa-878	260	9	computational	computational	ADJ
ijassa-878	260	10	experiments	experiment	NOUN
ijassa-878	260	11	on	on	ADP
ijassa-878	260	12	the	the	DET
ijassa-878	260	13	study	study	NOUN
ijassa-878	260	14	of	of	ADP
ijassa-878	260	15	initial	initial	ADJ
ijassa-878	260	16	-	-	PUNCT
ijassa-878	260	17	boundary	boundary	NOUN
ijassa-878	260	18	value	value	NOUN
ijassa-878	260	19	problems	problem	NOUN
ijassa-878	260	20	for	for	ADP
ijassa-878	260	21	systems	system	NOUN
ijassa-878	260	22	of	of	ADP
ijassa-878	260	23	fdept	fdept	NOUN
ijassa-878	260	24	using	use	VERB
ijassa-878	260	25	optcon	optcon	NOUN
ijassa-878	260	26	-	-	PUNCT
ijassa-878	260	27	f	f	NOUN
ijassa-878	260	28	software	software	NOUN
ijassa-878	260	29	will	will	AUX
ijassa-878	260	30	be	be	AUX
ijassa-878	260	31	presented	present	VERB
ijassa-878	260	32	.	.	PUNCT
ijassa-878	261	1	before	before	ADP
ijassa-878	261	2	demonstrating	demonstrate	VERB
ijassa-878	261	3	the	the	DET
ijassa-878	261	4	examples	example	NOUN
ijassa-878	261	5	,	,	PUNCT
ijassa-878	261	6	it	it	PRON
ijassa-878	261	7	is	be	AUX
ijassa-878	261	8	necessary	necessary	ADJ
ijassa-878	261	9	to	to	PART
ijassa-878	261	10	make	make	VERB
ijassa-878	261	11	a	a	DET
ijassa-878	261	12	number	number	NOUN
ijassa-878	261	13	of	of	ADP
ijassa-878	261	14	significant	significant	ADJ
ijassa-878	261	15	observations	observation	NOUN
ijassa-878	261	16	:	:	PUNCT
ijassa-878	261	17	(	(	PUNCT
ijassa-878	261	18	a	a	X
ijassa-878	261	19	)	)	PUNCT
ijassa-878	261	20	in	in	ADP
ijassa-878	261	21	the	the	DET
ijassa-878	261	22	sc	sc	PROPN
ijassa-878	261	23	optcon	optcon	NOUN
ijassa-878	261	24	-	-	PUNCT
ijassa-878	261	25	f	f	NOUN
ijassa-878	261	26	,	,	PUNCT
ijassa-878	261	27	the	the	DET
ijassa-878	261	28	possibility	possibility	NOUN
ijassa-878	261	29	of	of	ADP
ijassa-878	261	30	satisfying	satisfy	VERB
ijassa-878	261	31	the	the	DET
ijassa-878	261	32	condition	condition	NOUN
ijassa-878	261	33	of	of	ADP
ijassa-878	261	34	uniform	uniform	ADJ
ijassa-878	261	35	boundedness	boundedness	NOUN
ijassa-878	261	36	of	of	ADP
ijassa-878	261	37	the	the	DET
ijassa-878	261	38	derivative	derivative	NOUN
ijassa-878	261	39	is	be	AUX
ijassa-878	261	40	realized	realize	VERB
ijassa-878	261	41	.	.	PUNCT
ijassa-878	262	1	the	the	DET
ijassa-878	262	2	maximum	maximum	ADJ
ijassa-878	262	3	deviation	deviation	NOUN
ijassa-878	262	4	from	from	ADP
ijassa-878	262	5	zero	zero	NUM
ijassa-878	262	6	is	be	AUX
ijassa-878	262	7	determined	determine	VERB
ijassa-878	262	8	by	by	ADP
ijassa-878	262	9	the	the	DET
ijassa-878	262	10	lipschitz	lipschitz	NOUN
ijassa-878	262	11	constant	constant	ADJ
ijassa-878	262	12	of	of	ADP
ijassa-878	262	13	the	the	DET
ijassa-878	262	14	right	right	ADJ
ijassa-878	262	15	side	side	NOUN
ijassa-878	262	16	of	of	ADP
ijassa-878	262	17	the	the	DET
ijassa-878	262	18	equation	equation	NOUN
ijassa-878	262	19	,	,	PUNCT
ijassa-878	262	20	by	by	ADP
ijassa-878	262	21	the	the	DET
ijassa-878	262	22	parameter	parameter	NOUN
ijassa-878	262	23	µ	µ	NOUN
ijassa-878	262	24	,	,	PUNCT
ijassa-878	262	25	and	and	CCONJ
ijassa-878	262	26	also	also	ADV
ijassa-878	262	27	by	by	ADP
ijassa-878	262	28	the	the	DET
ijassa-878	262	29	deviations	deviation	NOUN
ijassa-878	262	30	of	of	ADP
ijassa-878	262	31	the	the	DET
ijassa-878	262	32	argument	argument	NOUN
ijassa-878	262	33	;	;	PUNCT
ijassa-878	262	34	(	(	PUNCT
ijassa-878	262	35	b	b	X
ijassa-878	262	36	)	)	PUNCT
ijassa-878	262	37	numerical	numerical	ADJ
ijassa-878	262	38	integration	integration	NOUN
ijassa-878	262	39	on	on	ADP
ijassa-878	262	40	an	an	DET
ijassa-878	262	41	interval	interval	NOUN
ijassa-878	262	42	with	with	ADP
ijassa-878	262	43	initial	initial	ADJ
ijassa-878	262	44	-	-	PUNCT
ijassa-878	262	45	boundary	boundary	NOUN
ijassa-878	262	46	conditions	condition	NOUN
ijassa-878	262	47	is	be	AUX
ijassa-878	262	48	realized	realize	VERB
ijassa-878	262	49	as	as	ADP
ijassa-878	262	50	an	an	DET
ijassa-878	262	51	integration	integration	NOUN
ijassa-878	262	52	process	process	NOUN
ijassa-878	262	53	with	with	ADP
ijassa-878	262	54	given	give	VERB
ijassa-878	262	55	boundary	boundary	ADJ
ijassa-878	262	56	conditions	condition	NOUN
ijassa-878	262	57	at	at	ADP
ijassa-878	262	58	the	the	DET
ijassa-878	262	59	left	left	ADJ
ijassa-878	262	60	end	end	NOUN
ijassa-878	262	61	and	and	CCONJ
ijassa-878	262	62	procedures	procedure	NOUN
ijassa-878	262	63	for	for	ADP
ijassa-878	262	64	minimizing	minimize	VERB
ijassa-878	262	65	deviations	deviation	NOUN
ijassa-878	262	66	from	from	ADP
ijassa-878	262	67	the	the	DET
ijassa-878	262	68	boundary	boundary	ADJ
ijassa-878	262	69	conditions	condition	NOUN
ijassa-878	262	70	at	at	ADP
ijassa-878	262	71	the	the	DET
ijassa-878	262	72	right	right	ADJ
ijassa-878	262	73	end	end	NOUN
ijassa-878	262	74	for	for	ADP
ijassa-878	262	75	the	the	DET
ijassa-878	262	76	solution	solution	NOUN
ijassa-878	262	77	constructed	construct	VERB
ijassa-878	262	78	with	with	ADP
ijassa-878	262	79	observance	observance	NOUN
ijassa-878	262	80	of	of	ADP
ijassa-878	262	81	the	the	DET
ijassa-878	262	82	restrictions	restriction	NOUN
ijassa-878	262	83	from	from	ADP
ijassa-878	262	84	the	the	DET
ijassa-878	262	85	preceding	precede	VERB
ijassa-878	262	86	item	item	NOUN
ijassa-878	262	87	;	;	PUNCT
ijassa-878	262	88	(	(	PUNCT
ijassa-878	262	89	c	c	X
ijassa-878	262	90	)	)	PUNCT
ijassa-878	262	91	in	in	ADP
ijassa-878	262	92	the	the	DET
ijassa-878	262	93	obtained	obtain	VERB
ijassa-878	262	94	theorem	theorem	NOUN
ijassa-878	262	95	on	on	ADP
ijassa-878	262	96	approximating	approximate	VERB
ijassa-878	262	97	solutions	solution	NOUN
ijassa-878	262	98	of	of	ADP
ijassa-878	262	99	the	the	DET
ijassa-878	262	100	original	original	ADJ
ijassa-878	262	101	equation	equation	NOUN
ijassa-878	262	102	on	on	ADP
ijassa-878	262	103	the	the	DET
ijassa-878	262	104	whole	whole	ADJ
ijassa-878	262	105	line	line	NOUN
ijassa-878	262	106	by	by	ADP
ijassa-878	262	107	solutions	solution	NOUN
ijassa-878	262	108	on	on	ADP
ijassa-878	262	109	expanding	expand	VERB
ijassa-878	262	110	finite	finite	ADJ
ijassa-878	262	111	intervals	interval	NOUN
ijassa-878	262	112	[	[	X
ijassa-878	262	113	−k	−k	PROPN
ijassa-878	262	114	,	,	PUNCT
ijassa-878	262	115	k	k	X
ijassa-878	262	116	]	]	X
ijassa-878	262	117	,	,	PUNCT
ijassa-878	262	118	the	the	DET
ijassa-878	262	119	only	only	ADJ
ijassa-878	262	120	restriction	restriction	NOUN
ijassa-878	262	121	on	on	ADP
ijassa-878	262	122	the	the	DET
ijassa-878	262	123	boundary	boundary	ADJ
ijassa-878	262	124	conditions	condition	NOUN
ijassa-878	262	125	themselves	themselves	PRON
ijassa-878	262	126	is	be	AUX
ijassa-878	262	127	the	the	DET
ijassa-878	262	128	condition	condition	NOUN
ijassa-878	262	129	for	for	ADP
ijassa-878	262	130	their	their	PRON
ijassa-878	262	131	uniform	uniform	ADJ
ijassa-878	262	132	boundedness	boundedness	NOUN
ijassa-878	262	133	.	.	PUNCT
ijassa-878	263	1	in	in	ADP
ijassa-878	263	2	particular	particular	ADJ
ijassa-878	263	3	,	,	PUNCT
ijassa-878	263	4	we	we	PRON
ijassa-878	263	5	choose	choose	VERB
ijassa-878	263	6	the	the	DET
ijassa-878	263	7	zero	zero	NUM
ijassa-878	263	8	boundary	boundary	ADJ
ijassa-878	263	9	condition	condition	NOUN
ijassa-878	263	10	;	;	PUNCT
ijassa-878	263	11	(	(	PUNCT
ijassa-878	263	12	d	d	X
ijassa-878	263	13	)	)	PUNCT
ijassa-878	263	14	we	we	PRON
ijassa-878	263	15	note	note	VERB
ijassa-878	263	16	that	that	SCONJ
ijassa-878	263	17	the	the	DET
ijassa-878	263	18	obtained	obtain	VERB
ijassa-878	263	19	condition	condition	NOUN
ijassa-878	263	20	for	for	ADP
ijassa-878	263	21	the	the	DET
ijassa-878	263	22	existence	existence	NOUN
ijassa-878	263	23	of	of	ADP
ijassa-878	263	24	a	a	DET
ijassa-878	263	25	solution	solution	NOUN
ijassa-878	263	26	of	of	ADP
ijassa-878	263	27	the	the	DET
ijassa-878	263	28	traveling	travel	VERB
ijassa-878	263	29	wave	wave	NOUN
ijassa-878	263	30	type	type	NOUN
ijassa-878	263	31	is	be	AUX
ijassa-878	263	32	just	just	ADV
ijassa-878	263	33	a	a	DET
ijassa-878	263	34	sufficient	sufficient	ADJ
ijassa-878	263	35	condition	condition	NOUN
ijassa-878	263	36	.	.	PUNCT
ijassa-878	264	1	therefore	therefore	ADV
ijassa-878	264	2	,	,	PUNCT
ijassa-878	264	3	solutions	solution	NOUN
ijassa-878	264	4	of	of	ADP
ijassa-878	264	5	the	the	DET
ijassa-878	264	6	traveling	travel	VERB
ijassa-878	264	7	wave	wave	NOUN
ijassa-878	264	8	type	type	NOUN
ijassa-878	264	9	can	can	AUX
ijassa-878	264	10	also	also	ADV
ijassa-878	264	11	be	be	AUX
ijassa-878	264	12	numerically	numerically	ADV
ijassa-878	264	13	constructed	construct	VERB
ijassa-878	264	14	for	for	ADP
ijassa-878	264	15	τ	τ	PROPN
ijassa-878	264	16	>	>	X
ijassa-878	264	17	τ̂	τ̂	PUNCT
ijassa-878	264	18	.	.	PUNCT
ijassa-878	265	1	nevertheless	nevertheless	ADV
ijassa-878	265	2	,	,	PUNCT
ijassa-878	265	3	many	many	ADJ
ijassa-878	265	4	of	of	ADP
ijassa-878	265	5	the	the	DET
ijassa-878	265	6	central	central	ADJ
ijassa-878	265	7	conditions	condition	NOUN
ijassa-878	265	8	of	of	ADP
ijassa-878	265	9	the	the	DET
ijassa-878	265	10	presented	present	VERB
ijassa-878	265	11	theory	theory	NOUN
ijassa-878	265	12	are	be	AUX
ijassa-878	265	13	“	"	PUNCT
ijassa-878	265	14	exact	exact	ADJ
ijassa-878	265	15	”	"	PUNCT
ijassa-878	265	16	,	,	PUNCT
ijassa-878	265	17	that	that	ADV
ijassa-878	265	18	is	is	ADV
ijassa-878	265	19	,	,	PUNCT
ijassa-878	265	20	there	there	PRON
ijassa-878	265	21	are	be	VERB
ijassa-878	265	22	examples	example	NOUN
ijassa-878	265	23	of	of	ADP
ijassa-878	265	24	equations	equation	NOUN
ijassa-878	265	25	for	for	ADP
ijassa-878	265	26	which	which	DET
ijassa-878	265	27	violation	violation	NOUN
ijassa-878	265	28	of	of	ADP
ijassa-878	265	29	the	the	DET
ijassa-878	265	30	indicated	indicate	VERB
ijassa-878	265	31	conditions	condition	NOUN
ijassa-878	265	32	leads	lead	VERB
ijassa-878	265	33	to	to	ADP
ijassa-878	265	34	the	the	DET
ijassa-878	265	35	lack	lack	NOUN
ijassa-878	265	36	of	of	ADP
ijassa-878	265	37	solutions	solution	NOUN
ijassa-878	265	38	;	;	PUNCT
ijassa-878	265	39	(	(	PUNCT
ijassa-878	265	40	e	e	X
ijassa-878	265	41	)	)	PUNCT
ijassa-878	265	42	in	in	ADP
ijassa-878	265	43	the	the	DET
ijassa-878	265	44	sc	sc	PROPN
ijassa-878	265	45	optcon	optcon	NOUN
ijassa-878	265	46	-	-	PUNCT
ijassa-878	265	47	f	f	NOUN
ijassa-878	265	48	there	there	PRON
ijassa-878	265	49	is	be	VERB
ijassa-878	265	50	the	the	DET
ijassa-878	265	51	possibility	possibility	NOUN
ijassa-878	265	52	of	of	ADP
ijassa-878	265	53	sequential	sequential	ADJ
ijassa-878	265	54	application	application	NOUN
ijassa-878	265	55	of	of	ADP
ijassa-878	265	56	various	various	ADJ
ijassa-878	265	57	algorithms	algorithm	NOUN
ijassa-878	265	58	within	within	ADP
ijassa-878	265	59	the	the	DET
ijassa-878	265	60	framework	framework	NOUN
ijassa-878	265	61	of	of	ADP
ijassa-878	265	62	constructing	construct	VERB
ijassa-878	265	63	a	a	DET
ijassa-878	265	64	solution	solution	NOUN
ijassa-878	265	65	for	for	ADP
ijassa-878	265	66	one	one	NUM
ijassa-878	265	67	task	task	NOUN
ijassa-878	265	68	.	.	PUNCT
ijassa-878	266	1	thus	thus	ADV
ijassa-878	266	2	,	,	PUNCT
ijassa-878	266	3	the	the	DET
ijassa-878	266	4	constructed	construct	VERB
ijassa-878	266	5	intermediate	intermediate	ADJ
ijassa-878	266	6	solution	solution	NOUN
ijassa-878	266	7	in	in	ADP
ijassa-878	266	8	the	the	DET
ijassa-878	266	9	previous	previous	ADJ
ijassa-878	266	10	step	step	NOUN
ijassa-878	266	11	becomes	become	VERB
ijassa-878	266	12	the	the	DET
ijassa-878	266	13	starting	starting	NOUN
ijassa-878	266	14	solution	solution	NOUN
ijassa-878	266	15	(	(	PUNCT
ijassa-878	266	16	“	"	PUNCT
ijassa-878	266	17	baseline	baseline	NOUN
ijassa-878	266	18	”	"	PUNCT
ijassa-878	266	19	)	)	PUNCT
ijassa-878	266	20	for	for	ADP
ijassa-878	266	21	the	the	DET
ijassa-878	266	22	following	follow	VERB
ijassa-878	266	23	algorithm	algorithm	NOUN
ijassa-878	266	24	.	.	PUNCT
ijassa-878	267	1	in	in	ADP
ijassa-878	267	2	this	this	DET
ijassa-878	267	3	case	case	NOUN
ijassa-878	267	4	,	,	PUNCT
ijassa-878	267	5	such	such	DET
ijassa-878	267	6	an	an	DET
ijassa-878	267	7	implementation	implementation	NOUN
ijassa-878	267	8	does	do	AUX
ijassa-878	267	9	not	not	PART
ijassa-878	267	10	prevent	prevent	VERB
ijassa-878	267	11	the	the	DET
ijassa-878	267	12	global	global	ADJ
ijassa-878	267	13	search	search	NOUN
ijassa-878	267	14	algorithms	algorithm	NOUN
ijassa-878	267	15	from	from	ADP
ijassa-878	267	16	“	"	PUNCT
ijassa-878	267	17	popping	pop	VERB
ijassa-878	267	18	out	out	ADP
ijassa-878	267	19	”	"	PUNCT
ijassa-878	267	20	of	of	ADP
ijassa-878	267	21	the	the	DET
ijassa-878	267	22	local	local	ADJ
ijassa-878	267	23	solution	solution	NOUN
ijassa-878	267	24	.	.	PUNCT
ijassa-878	268	1	separately	separately	ADV
ijassa-878	268	2	,	,	PUNCT
ijassa-878	268	3	we	we	PRON
ijassa-878	268	4	note	note	VERB
ijassa-878	268	5	the	the	DET
ijassa-878	268	6	presence	presence	NOUN
ijassa-878	268	7	of	of	ADP
ijassa-878	268	8	a	a	DET
ijassa-878	268	9	programming	programming	NOUN
ijassa-878	268	10	module	module	NOUN
ijassa-878	268	11	that	that	PRON
ijassa-878	268	12	allows	allow	VERB
ijassa-878	268	13	predetermining	predetermine	VERB
ijassa-878	268	14	the	the	DET
ijassa-878	268	15	order	order	NOUN
ijassa-878	268	16	of	of	ADP
ijassa-878	268	17	application	application	NOUN
ijassa-878	268	18	of	of	ADP
ijassa-878	268	19	algorithms	algorithm	NOUN
ijassa-878	268	20	,	,	PUNCT
ijassa-878	268	21	as	as	ADV
ijassa-878	268	22	well	well	ADV
ijassa-878	268	23	as	as	ADP
ijassa-878	268	24	the	the	DET
ijassa-878	268	25	construction	construction	NOUN
ijassa-878	268	26	of	of	ADP
ijassa-878	268	27	complex	complex	ADJ
ijassa-878	268	28	chain	chain	NOUN
ijassa-878	268	29	of	of	ADP
ijassa-878	268	30	steps	step	NOUN
ijassa-878	268	31	(	(	PUNCT
ijassa-878	268	32	conditional	conditional	ADJ
ijassa-878	268	33	statements	statement	NOUN
ijassa-878	268	34	,	,	PUNCT
ijassa-878	268	35	loops	loop	NOUN
ijassa-878	268	36	,	,	PUNCT
ijassa-878	268	37	etc	etc	X
ijassa-878	268	38	.	.	X
ijassa-878	268	39	)	)	PUNCT
ijassa-878	269	1	depending	depend	VERB
ijassa-878	269	2	on	on	ADP
ijassa-878	269	3	the	the	DET
ijassa-878	269	4	current	current	ADJ
ijassa-878	269	5	or	or	CCONJ
ijassa-878	269	6	historical	historical	ADJ
ijassa-878	269	7	values	value	NOUN
ijassa-878	269	8	of	of	ADP
ijassa-878	269	9	a	a	DET
ijassa-878	269	10	number	number	NOUN
ijassa-878	269	11	parameters	parameter	NOUN
ijassa-878	269	12	(	(	PUNCT
ijassa-878	269	13	for	for	ADP
ijassa-878	269	14	example	example	NOUN
ijassa-878	269	15	,	,	PUNCT
ijassa-878	269	16	error	error	NOUN
ijassa-878	269	17	estimation	estimation	NOUN
ijassa-878	269	18	or	or	CCONJ
ijassa-878	269	19	number	number	NOUN
ijassa-878	269	20	of	of	ADP
ijassa-878	269	21	iterations	iteration	NOUN
ijassa-878	269	22	)	)	PUNCT
ijassa-878	269	23	.	.	PUNCT
ijassa-878	270	1	for	for	ADP
ijassa-878	270	2	the	the	DET
ijassa-878	270	3	examples	example	NOUN
ijassa-878	270	4	presented	present	VERB
ijassa-878	270	5	below	below	ADV
ijassa-878	270	6	,	,	PUNCT
ijassa-878	270	7	in	in	ADP
ijassa-878	270	8	addition	addition	NOUN
ijassa-878	270	9	to	to	ADP
ijassa-878	270	10	the	the	DET
ijassa-878	270	11	basic	basic	ADJ
ijassa-878	270	12	global	global	ADJ
ijassa-878	270	13	optimization	optimization	NOUN
ijassa-878	270	14	algorithm	algorithm	NOUN
ijassa-878	270	15	described	describe	VERB
ijassa-878	270	16	in	in	ADP
ijassa-878	270	17	section	section	NOUN
ijassa-878	270	18	1	1	NUM
ijassa-878	270	19	,	,	PUNCT
ijassa-878	270	20	the	the	DET
ijassa-878	270	21	following	follow	VERB
ijassa-878	270	22	scheme	scheme	NOUN
ijassa-878	270	23	was	be	AUX
ijassa-878	270	24	used	use	VERB
ijassa-878	270	25	in	in	ADP
ijassa-878	270	26	cycle	cycle	NOUN
ijassa-878	270	27	:	:	PUNCT
ijassa-878	270	28	the	the	DET
ijassa-878	270	29	generalized	generalized	ADJ
ijassa-878	270	30	quasinewtonian	quasinewtonian	NOUN
ijassa-878	270	31	and	and	CCONJ
ijassa-878	270	32	powell	powell	PROPN
ijassa-878	270	33	-	-	PUNCT
ijassa-878	270	34	brent	brent	PROPN
ijassa-878	270	35	’s	’s	PART
ijassa-878	270	36	methods	method	NOUN
ijassa-878	270	37	(	(	PUNCT
ijassa-878	270	38	with	with	ADP
ijassa-878	270	39	bi	bi	ADJ
ijassa-878	270	40	-	-	ADJ
ijassa-878	270	41	directional	directional	ADJ
ijassa-878	270	42	line	line	NOUN
ijassa-878	270	43	search	search	NOUN
ijassa-878	270	44	along	along	ADP
ijassa-878	270	45	each	each	DET
ijassa-878	270	46	dimension	dimension	NOUN
ijassa-878	270	47	)	)	PUNCT
ijassa-878	270	48	were	be	AUX
ijassa-878	270	49	used	use	VERB
ijassa-878	270	50	alternately	alternately	ADV
ijassa-878	270	51	,	,	PUNCT
ijassa-878	270	52	and	and	CCONJ
ijassa-878	270	53	after	after	SCONJ
ijassa-878	270	54	the	the	DET
ijassa-878	270	55	error	error	NOUN
ijassa-878	270	56	changed	change	VERB
ijassa-878	270	57	by	by	ADP
ijassa-878	270	58	less	less	ADJ
ijassa-878	270	59	than	than	ADP
ijassa-878	270	60	10−p	10−p	NUM
ijassa-878	270	61	the	the	DET
ijassa-878	270	62	adaptive	adaptive	ADJ
ijassa-878	270	63	modification	modification	NOUN
ijassa-878	270	64	of	of	ADP
ijassa-878	270	65	the	the	DET
ijassa-878	270	66	hooke	hooke	NOUN
ijassa-878	270	67	-	-	PUNCT
ijassa-878	270	68	jeeves	jeeve	NOUN
ijassa-878	270	69	method	method	NOUN
ijassa-878	270	70	was	be	AUX
ijassa-878	270	71	used	use	VERB
ijassa-878	270	72	l	l	NOUN
ijassa-878	270	73	times	time	NOUN
ijassa-878	270	74	(	(	PUNCT
ijassa-878	270	75	p	p	NOUN
ijassa-878	270	76	and	and	CCONJ
ijassa-878	270	77	l	l	NOUN
ijassa-878	270	78	are	be	AUX
ijassa-878	270	79	computable	computable	ADJ
ijassa-878	270	80	functions	function	NOUN
ijassa-878	270	81	on	on	ADP
ijassa-878	270	82	the	the	DET
ijassa-878	270	83	basis	basis	NOUN
ijassa-878	270	84	of	of	ADP
ijassa-878	270	85	the	the	DET
ijassa-878	270	86	loop	loop	NOUN
ijassa-878	270	87	iteration	iteration	NOUN
ijassa-878	270	88	number	number	NOUN
ijassa-878	270	89	,	,	PUNCT
ijassa-878	270	90	as	as	ADV
ijassa-878	270	91	well	well	ADV
ijassa-878	270	92	as	as	ADP
ijassa-878	270	93	the	the	DET
ijassa-878	270	94	lipschitz	lipschitz	NOUN
ijassa-878	270	95	constants	constant	NOUN
ijassa-878	270	96	of	of	ADP
ijassa-878	270	97	the	the	DET
ijassa-878	270	98	equation	equation	NOUN
ijassa-878	270	99	itself	itself	PRON
ijassa-878	270	100	and	and	CCONJ
ijassa-878	270	101	a	a	DET
ijassa-878	270	102	number	number	NOUN
ijassa-878	270	103	of	of	ADP
ijassa-878	270	104	other	other	ADJ
ijassa-878	270	105	technical	technical	ADJ
ijassa-878	270	106	characteristics	characteristic	NOUN
ijassa-878	270	107	)	)	PUNCT
ijassa-878	270	108	.	.	PUNCT
ijassa-878	271	1	the	the	DET
ijassa-878	271	2	stopping	stop	VERB
ijassa-878	271	3	criterion	criterion	NOUN
ijassa-878	271	4	depended	depend	VERB
ijassa-878	271	5	on	on	ADP
ijassa-878	271	6	the	the	DET
ijassa-878	271	7	number	number	NOUN
ijassa-878	271	8	of	of	ADP
ijassa-878	271	9	iterations	iteration	NOUN
ijassa-878	271	10	in	in	ADP
ijassa-878	271	11	the	the	DET
ijassa-878	271	12	first	first	ADJ
ijassa-878	271	13	part	part	NOUN
ijassa-878	271	14	of	of	ADP
ijassa-878	271	15	the	the	DET
ijassa-878	271	16	cycle	cycle	NOUN
ijassa-878	271	17	,	,	PUNCT
ijassa-878	271	18	as	as	ADV
ijassa-878	271	19	well	well	ADV
ijassa-878	271	20	as	as	ADP
ijassa-878	271	21	the	the	DET
ijassa-878	271	22	current	current	ADJ
ijassa-878	271	23	error	error	NOUN
ijassa-878	271	24	estimate	estimate	NOUN
ijassa-878	271	25	and	and	CCONJ
ijassa-878	271	26	its	its	PRON
ijassa-878	271	27	dynamics	dynamic	NOUN
ijassa-878	271	28	;	;	PUNCT
ijassa-878	271	29	(	(	PUNCT
ijassa-878	271	30	f	f	X
ijassa-878	271	31	)	)	PUNCT
ijassa-878	271	32	in	in	ADP
ijassa-878	271	33	view	view	NOUN
ijassa-878	271	34	of	of	ADP
ijassa-878	271	35	all	all	DET
ijassa-878	271	36	the	the	DET
ijassa-878	271	37	points	point	NOUN
ijassa-878	271	38	listed	list	VERB
ijassa-878	271	39	above	above	ADV
ijassa-878	271	40	,	,	PUNCT
ijassa-878	271	41	as	as	ADV
ijassa-878	271	42	well	well	ADV
ijassa-878	271	43	as	as	ADP
ijassa-878	271	44	stochastic	stochastic	ADJ
ijassa-878	271	45	elements	element	NOUN
ijassa-878	271	46	in	in	ADP
ijassa-878	271	47	the	the	DET
ijassa-878	271	48	applied	applied	ADJ
ijassa-878	271	49	algorithms	algorithm	NOUN
ijassa-878	271	50	,	,	PUNCT
ijassa-878	271	51	the	the	DET
ijassa-878	271	52	presented	present	VERB
ijassa-878	271	53	value	value	NOUN
ijassa-878	271	54	of	of	ADP
ijassa-878	271	55	the	the	DET
ijassa-878	271	56	residual	residual	ADJ
ijassa-878	271	57	functional	functional	ADJ
ijassa-878	271	58	(	(	PUNCT
ijassa-878	271	59	rf	rf	ADJ
ijassa-878	271	60	,	,	PUNCT
ijassa-878	271	61	i.e.	i.e.	X
ijassa-878	271	62	error	error	NOUN
ijassa-878	271	63	of	of	ADP
ijassa-878	271	64	a	a	DET
ijassa-878	271	65	numerical	numerical	ADJ
ijassa-878	271	66	solution	solution	NOUN
ijassa-878	271	67	)	)	PUNCT
ijassa-878	271	68	can	can	AUX
ijassa-878	271	69	not	not	PART
ijassa-878	271	70	be	be	AUX
ijassa-878	271	71	used	use	VERB
ijassa-878	271	72	to	to	PART
ijassa-878	271	73	estimate	estimate	VERB
ijassa-878	271	74	the	the	DET
ijassa-878	271	75	theoretical	theoretical	ADJ
ijassa-878	271	76	rate	rate	NOUN
ijassa-878	271	77	of	of	ADP
ijassa-878	271	78	convergence	convergence	NOUN
ijassa-878	271	79	.	.	PUNCT
ijassa-878	272	1	we	we	PRON
ijassa-878	272	2	consider	consider	VERB
ijassa-878	272	3	dynamical	dynamical	ADJ
ijassa-878	272	4	system	system	NOUN
ijassa-878	272	5	in	in	ADP
ijassa-878	272	6	the	the	DET
ijassa-878	272	7	following	follow	VERB
ijassa-878	272	8	form	form	NOUN
ijassa-878	272	9	:	:	PUNCT
ijassa-878	272	10	{	{	PUNCT
ijassa-878	272	11	ẋ1(t	ẋ1(t	PROPN
ijassa-878	272	12	)	)	PUNCT
ijassa-878	273	1	=	=	SYM
ijassa-878	273	2	0.15x2(t	0.15x2(t	NUM
ijassa-878	273	3	)	)	PUNCT
ijassa-878	273	4	,	,	PUNCT
ijassa-878	273	5	ẋ2(t	ẋ2(t	PROPN
ijassa-878	273	6	)	)	PUNCT
ijassa-878	274	1	=	=	PUNCT
ijassa-878	274	2	0.15×	0.15×	PROPN
ijassa-878	275	1	100−1(x1(t+	100−1(x1(t+	NOUN
ijassa-878	275	2	1)−	1)−	NUM
ijassa-878	275	3	2x1(t	2x1(t	NUM
ijassa-878	275	4	)	)	PUNCT
ijassa-878	276	1	+	+	NUM
ijassa-878	276	2	x1(t−	x1(t−	NOUN
ijassa-878	276	3	1	1	X
ijassa-878	276	4	)	)	PUNCT
ijassa-878	276	5	+	+	CCONJ
ijassa-878	276	6	500	500	NUM
ijassa-878	276	7	sin(0.1x1(t	sin(0.1x1(t	NOUN
ijassa-878	276	8	)	)	PUNCT
ijassa-878	276	9	)	)	PUNCT
ijassa-878	276	10	)	)	PUNCT
ijassa-878	276	11	,	,	PUNCT
ijassa-878	276	12	t	t	PROPN
ijassa-878	276	13	∈	∈	PROPN
ijassa-878	276	14	r	r	NOUN
ijassa-878	276	15	,	,	PUNCT
ijassa-878	276	16	initial	initial	ADJ
ijassa-878	276	17	conditions	condition	NOUN
ijassa-878	276	18	{	{	PUNCT
ijassa-878	276	19	x1(0	x1(0	PROPN
ijassa-878	276	20	)	)	PUNCT
ijassa-878	277	1	=	=	SYM
ijassa-878	277	2	c	c	X
ijassa-878	277	3	,	,	PUNCT
ijassa-878	277	4	x2(0	x2(0	PROPN
ijassa-878	277	5	)	)	PUNCT
ijassa-878	277	6	=	=	SYM
ijassa-878	278	1	0	0	X
ijassa-878	278	2	.	.	PUNCT
ijassa-878	279	1	(	(	PUNCT
ijassa-878	279	2	6.28	6.28	NUM
ijassa-878	279	3	)	)	PUNCT
ijassa-878	279	4	copyright	copyright	NOUN
ijassa-878	279	5	©	©	PROPN
ijassa-878	279	6	2020	2020	NUM
ijassa-878	279	7	assa	assa	NOUN
ijassa-878	279	8	.	.	PUNCT
ijassa-878	280	1	adv	adv	PROPN
ijassa-878	280	2	syst	syst	PROPN
ijassa-878	280	3	sci	sci	PROPN
ijassa-878	280	4	appl	appl	PROPN
ijassa-878	280	5	(	(	PUNCT
ijassa-878	280	6	2020	2020	NUM
ijassa-878	280	7	)	)	PUNCT
ijassa-878	280	8	numerical	numerical	ADJ
ijassa-878	280	9	methods	method	NOUN
ijassa-878	280	10	for	for	ADP
ijassa-878	280	11	functional	functional	ADJ
ijassa-878	280	12	differential	differential	ADJ
ijassa-878	280	13	equations	equation	NOUN
ijassa-878	280	14	67	67	NUM
ijassa-878	280	15	(	(	PUNCT
ijassa-878	280	16	a	a	NOUN
ijassa-878	280	17	)	)	PUNCT
ijassa-878	280	18	trajectories	trajectory	NOUN
ijassa-878	280	19	of	of	ADP
ijassa-878	280	20	x1(t	x1(t	PROPN
ijassa-878	280	21	)	)	PUNCT
ijassa-878	280	22	for	for	ADP
ijassa-878	280	23	the	the	DET
ijassa-878	280	24	system	system	NOUN
ijassa-878	280	25	(	(	PUNCT
ijassa-878	280	26	6.29	6.29	NUM
ijassa-878	280	27	)	)	PUNCT
ijassa-878	280	28	(	(	PUNCT
ijassa-878	280	29	b	b	X
ijassa-878	280	30	)	)	PUNCT
ijassa-878	280	31	trajectories	trajectory	NOUN
ijassa-878	280	32	of	of	ADP
ijassa-878	280	33	x1(t	x1(t	PROPN
ijassa-878	280	34	)	)	PUNCT
ijassa-878	280	35	for	for	ADP
ijassa-878	280	36	the	the	DET
ijassa-878	280	37	system	system	NOUN
ijassa-878	280	38	(	(	PUNCT
ijassa-878	280	39	6.28	6.28	NUM
ijassa-878	280	40	)	)	PUNCT
ijassa-878	280	41	fig	fig	NOUN
ijassa-878	280	42	.	.	PUNCT
ijassa-878	281	1	6.2	6.2	NUM
ijassa-878	281	2	.	.	PUNCT
ijassa-878	282	1	trajectories	trajectory	NOUN
ijassa-878	282	2	of	of	ADP
ijassa-878	282	3	x1(t	x1(t	PROPN
ijassa-878	282	4	)	)	PUNCT
ijassa-878	282	5	at	at	ADP
ijassa-878	282	6	different	different	ADJ
ijassa-878	282	7	c	c	NOUN
ijassa-878	282	8	here	here	ADV
ijassa-878	282	9	,	,	PUNCT
ijassa-878	282	10	with	with	ADP
ijassa-878	282	11	respect	respect	NOUN
ijassa-878	282	12	to	to	ADP
ijassa-878	282	13	the	the	DET
ijassa-878	282	14	system	system	NOUN
ijassa-878	282	15	(	(	PUNCT
ijassa-878	282	16	6.27	6.27	NUM
ijassa-878	282	17	)	)	PUNCT
ijassa-878	282	18	,	,	PUNCT
ijassa-878	282	19	we	we	PRON
ijassa-878	282	20	have	have	VERB
ijassa-878	282	21	a	a	DET
ijassa-878	282	22	=	=	SYM
ijassa-878	282	23	500	500	NUM
ijassa-878	282	24	,	,	PUNCT
ijassa-878	282	25	b	b	X
ijassa-878	282	26	=	=	SYM
ijassa-878	282	27	0.1	0.1	NUM
ijassa-878	282	28	,	,	PUNCT
ijassa-878	282	29	τ	τ	X
ijassa-878	282	30	=	=	PUNCT
ijassa-878	282	31	0.15,m	0.15,m	NUM
ijassa-878	282	32	=	=	SYM
ijassa-878	282	33	100	100	NUM
ijassa-878	282	34	,	,	PUNCT
ijassa-878	282	35	and	and	CCONJ
ijassa-878	282	36	the	the	DET
ijassa-878	282	37	equality	equality	NOUN
ijassa-878	282	38	(	(	PUNCT
ijassa-878	282	39	4.15	4.15	NUM
ijassa-878	282	40	)	)	PUNCT
ijassa-878	282	41	takes	take	VERB
ijassa-878	282	42	the	the	DET
ijassa-878	282	43	form	form	NOUN
ijassa-878	282	44	0.003	0.003	NUM
ijassa-878	282	45	√	√	NUM
ijassa-878	282	46	2502(2µ−1	2502(2µ−1	NUM
ijassa-878	283	1	+	+	CCONJ
ijassa-878	283	2	1	1	X
ijassa-878	283	3	)	)	PUNCT
ijassa-878	283	4	=	=	VERB
ijassa-878	284	1	lnµ−1	lnµ−1	VERB
ijassa-878	284	2	and	and	CCONJ
ijassa-878	284	3	has	have	VERB
ijassa-878	284	4	on	on	ADP
ijassa-878	284	5	the	the	DET
ijassa-878	284	6	interval	interval	NOUN
ijassa-878	284	7	(	(	PUNCT
ijassa-878	284	8	0	0	NUM
ijassa-878	284	9	,	,	PUNCT
ijassa-878	284	10	1	1	X
ijassa-878	284	11	)	)	PUNCT
ijassa-878	284	12	two	two	NUM
ijassa-878	284	13	solutions	solution	NOUN
ijassa-878	284	14	with	with	ADP
ijassa-878	284	15	approximate	approximate	ADJ
ijassa-878	284	16	values	value	NOUN
ijassa-878	284	17	µ1(0.15	µ1(0.15	NOUN
ijassa-878	284	18	)	)	PUNCT
ijassa-878	284	19	=	=	SYM
ijassa-878	284	20	0	0	NUM
ijassa-878	284	21	,	,	PUNCT
ijassa-878	284	22	22	22	NUM
ijassa-878	284	23	and	and	CCONJ
ijassa-878	284	24	µ2(0.15	µ2(0.15	NUM
ijassa-878	284	25	)	)	PUNCT
ijassa-878	284	26	=	=	SYM
ijassa-878	284	27	0	0	NUM
ijassa-878	284	28	,	,	PUNCT
ijassa-878	284	29	424191	424191	NUM
ijassa-878	284	30	(	(	PUNCT
ijassa-878	284	31	the	the	DET
ijassa-878	284	32	exact	exact	ADJ
ijassa-878	284	33	values	value	NOUN
ijassa-878	284	34	are	be	AUX
ijassa-878	284	35	expressed	express	VERB
ijassa-878	284	36	in	in	ADP
ijassa-878	284	37	terms	term	NOUN
ijassa-878	284	38	of	of	ADP
ijassa-878	284	39	the	the	DET
ijassa-878	284	40	lambert	lambert	PROPN
ijassa-878	284	41	w	w	PROPN
ijassa-878	284	42	-function	-function	PROPN
ijassa-878	284	43	and	and	CCONJ
ijassa-878	284	44	ca	can	AUX
ijassa-878	284	45	n’t	not	PART
ijassa-878	284	46	be	be	AUX
ijassa-878	284	47	written	write	VERB
ijassa-878	284	48	out	out	ADP
ijassa-878	284	49	in	in	ADP
ijassa-878	284	50	quadratures	quadrature	NOUN
ijassa-878	284	51	)	)	PUNCT
ijassa-878	284	52	.	.	PUNCT
ijassa-878	285	1	taking	take	VERB
ijassa-878	285	2	into	into	ADP
ijassa-878	285	3	account	account	NOUN
ijassa-878	285	4	the	the	DET
ijassa-878	285	5	impossibility	impossibility	NOUN
ijassa-878	285	6	of	of	ADP
ijassa-878	285	7	considering	consider	VERB
ijassa-878	285	8	the	the	DET
ijassa-878	285	9	numerical	numerical	ADJ
ijassa-878	285	10	solution	solution	NOUN
ijassa-878	285	11	of	of	ADP
ijassa-878	285	12	the	the	DET
ijassa-878	285	13	system	system	NOUN
ijassa-878	285	14	on	on	ADP
ijassa-878	285	15	an	an	DET
ijassa-878	285	16	infinite	infinite	ADJ
ijassa-878	285	17	interval	interval	NOUN
ijassa-878	285	18	,	,	PUNCT
ijassa-878	285	19	we	we	PRON
ijassa-878	285	20	introduce	introduce	VERB
ijassa-878	285	21	the	the	DET
ijassa-878	285	22	parameter	parameter	NOUN
ijassa-878	285	23	k	k	PROPN
ijassa-878	285	24	and	and	CCONJ
ijassa-878	285	25	the	the	DET
ijassa-878	285	26	corresponding	correspond	VERB
ijassa-878	285	27	family	family	NOUN
ijassa-878	285	28	of	of	ADP
ijassa-878	285	29	expanding	expand	VERB
ijassa-878	285	30	initial	initial	ADJ
ijassa-878	285	31	-	-	PUNCT
ijassa-878	285	32	boundary	boundary	NOUN
ijassa-878	285	33	value	value	NOUN
ijassa-878	285	34	problems	problem	NOUN
ijassa-878	285	35	{	{	PUNCT
ijassa-878	285	36	ẋ1(t	ẋ1(t	PROPN
ijassa-878	285	37	)	)	PUNCT
ijassa-878	286	1	=	=	SYM
ijassa-878	286	2	0.15x2(t	0.15x2(t	NUM
ijassa-878	286	3	)	)	PUNCT
ijassa-878	286	4	,	,	PUNCT
ijassa-878	286	5	ẋ2(t	ẋ2(t	PROPN
ijassa-878	286	6	)	)	PUNCT
ijassa-878	287	1	=	=	PUNCT
ijassa-878	287	2	0.15×	0.15×	PROPN
ijassa-878	288	1	100−1(x1(t+	100−1(x1(t+	NOUN
ijassa-878	288	2	1)−	1)−	NUM
ijassa-878	288	3	2x1(t	2x1(t	NUM
ijassa-878	288	4	)	)	PUNCT
ijassa-878	289	1	+	+	NUM
ijassa-878	289	2	x1(t−	x1(t−	NOUN
ijassa-878	289	3	1	1	X
ijassa-878	289	4	)	)	PUNCT
ijassa-878	289	5	+	+	CCONJ
ijassa-878	289	6	500	500	NUM
ijassa-878	289	7	sin(0.1x1(t	sin(0.1x1(t	NOUN
ijassa-878	289	8	)	)	PUNCT
ijassa-878	289	9	)	)	PUNCT
ijassa-878	289	10	)	)	PUNCT
ijassa-878	289	11	,	,	PUNCT
ijassa-878	289	12	t	t	PROPN
ijassa-878	289	13	∈	∈	PROPN
ijassa-878	290	1	[	[	X
ijassa-878	290	2	−k	−k	PROPN
ijassa-878	290	3	,	,	PUNCT
ijassa-878	290	4	k	k	NOUN
ijassa-878	290	5	]	]	X
ijassa-878	290	6	,	,	PUNCT
ijassa-878	290	7	boundary	boundary	ADJ
ijassa-878	290	8	conditions	condition	NOUN
ijassa-878	290	9	{	{	PUNCT
ijassa-878	290	10	ẋ1(t	ẋ1(t	PROPN
ijassa-878	290	11	)	)	PUNCT
ijassa-878	291	1	=	=	SYM
ijassa-878	291	2	0	0	NUM
ijassa-878	291	3	,	,	PUNCT
ijassa-878	291	4	ẋ2(t	ẋ2(t	PROPN
ijassa-878	291	5	)	)	PUNCT
ijassa-878	292	1	=	=	PUNCT
ijassa-878	292	2	0	0	NUM
ijassa-878	292	3	,	,	PUNCT
ijassa-878	292	4	t	t	PROPN
ijassa-878	292	5	∈	∈	PROPN
ijassa-878	292	6	(	(	PUNCT
ijassa-878	292	7	−∞,−k	−∞,−k	NOUN
ijassa-878	292	8	]	]	PUNCT
ijassa-878	292	9	∪	∪	ADP
ijassa-878	292	10	[	[	X
ijassa-878	292	11	k,+∞	k,+∞	X
ijassa-878	292	12	)	)	PUNCT
ijassa-878	292	13	,	,	PUNCT
ijassa-878	292	14	initial	initial	ADJ
ijassa-878	292	15	conditions	condition	NOUN
ijassa-878	292	16	{	{	PUNCT
ijassa-878	292	17	x1(0	x1(0	PROPN
ijassa-878	292	18	)	)	PUNCT
ijassa-878	293	1	=	=	SYM
ijassa-878	293	2	c	c	X
ijassa-878	293	3	,	,	PUNCT
ijassa-878	293	4	x2(0	x2(0	PROPN
ijassa-878	293	5	)	)	PUNCT
ijassa-878	293	6	=	=	SYM
ijassa-878	294	1	0	0	X
ijassa-878	294	2	.	.	PUNCT
ijassa-878	295	1	(	(	PUNCT
ijassa-878	295	2	6.29	6.29	NUM
ijassa-878	295	3	)	)	PUNCT
ijassa-878	295	4	according	accord	VERB
ijassa-878	295	5	to	to	ADP
ijassa-878	295	6	the	the	DET
ijassa-878	295	7	theorem	theorem	ADJ
ijassa-878	295	8	5.1	5.1	NUM
ijassa-878	295	9	,	,	PUNCT
ijassa-878	295	10	convergence	convergence	NOUN
ijassa-878	295	11	is	be	AUX
ijassa-878	295	12	guaranteed	guarantee	VERB
ijassa-878	295	13	under	under	ADP
ijassa-878	295	14	any	any	DET
ijassa-878	295	15	given	give	VERB
ijassa-878	295	16	essentially	essentially	ADV
ijassa-878	295	17	bounded	bound	VERB
ijassa-878	295	18	boundary	boundary	ADJ
ijassa-878	295	19	conditions	condition	NOUN
ijassa-878	295	20	.	.	PUNCT
ijassa-878	296	1	in	in	ADP
ijassa-878	296	2	the	the	DET
ijassa-878	296	3	system	system	NOUN
ijassa-878	296	4	(	(	PUNCT
ijassa-878	296	5	6.29	6.29	NUM
ijassa-878	296	6	)	)	PUNCT
ijassa-878	296	7	,	,	PUNCT
ijassa-878	296	8	the	the	DET
ijassa-878	296	9	simplest	simple	ADJ
ijassa-878	296	10	boundary	boundary	ADJ
ijassa-878	296	11	function	function	NOUN
ijassa-878	296	12	is	be	AUX
ijassa-878	296	13	chosen	choose	VERB
ijassa-878	296	14	,	,	PUNCT
ijassa-878	296	15	the	the	DET
ijassa-878	296	16	identity	identity	NOUN
ijassa-878	296	17	zero	zero	NUM
ijassa-878	296	18	.	.	PUNCT
ijassa-878	297	1	thus	thus	ADV
ijassa-878	297	2	,	,	PUNCT
ijassa-878	297	3	the	the	DET
ijassa-878	297	4	solution	solution	NOUN
ijassa-878	297	5	of	of	ADP
ijassa-878	297	6	the	the	DET
ijassa-878	297	7	system	system	NOUN
ijassa-878	297	8	(	(	PUNCT
ijassa-878	297	9	6.29	6.29	NUM
ijassa-878	297	10	)	)	PUNCT
ijassa-878	297	11	converges	converge	NOUN
ijassa-878	297	12	(	(	PUNCT
ijassa-878	297	13	according	accord	VERB
ijassa-878	297	14	to	to	ADP
ijassa-878	297	15	the	the	DET
ijassa-878	297	16	metric	metric	NOUN
ijassa-878	297	17	of	of	ADP
ijassa-878	297	18	the	the	DET
ijassa-878	297	19	space	space	NOUN
ijassa-878	297	20	lnµc(0)(r	lnµc(0)(r	PROPN
ijassa-878	297	21	)	)	PUNCT
ijassa-878	297	22	for	for	ADP
ijassa-878	297	23	µ	µ	DET
ijassa-878	297	24	∈	∈	NOUN
ijassa-878	297	25	(	(	PUNCT
ijassa-878	297	26	µ1(0.15	µ1(0.15	NOUN
ijassa-878	297	27	)	)	PUNCT
ijassa-878	297	28	,	,	PUNCT
ijassa-878	297	29	µ2(0.15	µ2(0.15	NUM
ijassa-878	297	30	)	)	PUNCT
ijassa-878	297	31	)	)	PUNCT
ijassa-878	297	32	)	)	PUNCT
ijassa-878	297	33	to	to	ADP
ijassa-878	297	34	the	the	DET
ijassa-878	297	35	solution	solution	NOUN
ijassa-878	297	36	of	of	ADP
ijassa-878	297	37	the	the	DET
ijassa-878	297	38	system	system	NOUN
ijassa-878	297	39	(	(	PUNCT
ijassa-878	297	40	6.28	6.28	NUM
ijassa-878	297	41	)	)	PUNCT
ijassa-878	297	42	as	as	ADP
ijassa-878	297	43	k	k	PROPN
ijassa-878	297	44	→∞.	→∞.	PROPN
ijassa-878	297	45	since	since	SCONJ
ijassa-878	297	46	the	the	DET
ijassa-878	297	47	equation	equation	NOUN
ijassa-878	297	48	(	(	PUNCT
ijassa-878	297	49	6.27	6.27	NUM
ijassa-878	297	50	)	)	PUNCT
ijassa-878	297	51	is	be	AUX
ijassa-878	297	52	autonomous	autonomous	ADJ
ijassa-878	297	53	,	,	PUNCT
ijassa-878	297	54	the	the	DET
ijassa-878	297	55	solution	solution	NOUN
ijassa-878	297	56	space	space	NOUN
ijassa-878	297	57	of	of	ADP
ijassa-878	297	58	such	such	ADJ
ijassa-878	297	59	equation	equation	NOUN
ijassa-878	297	60	is	be	AUX
ijassa-878	297	61	invariant	invariant	ADJ
ijassa-878	297	62	with	with	ADP
ijassa-878	297	63	respect	respect	NOUN
ijassa-878	297	64	to	to	ADP
ijassa-878	297	65	time	time	NOUN
ijassa-878	297	66	-	-	PUNCT
ijassa-878	297	67	variable	variable	ADJ
ijassa-878	297	68	shifts	shift	NOUN
ijassa-878	297	69	.	.	PUNCT
ijassa-878	298	1	on	on	ADP
ijassa-878	298	2	the	the	DET
ijassa-878	298	3	other	other	ADJ
ijassa-878	298	4	hand	hand	NOUN
ijassa-878	298	5	,	,	PUNCT
ijassa-878	298	6	from	from	ADP
ijassa-878	298	7	the	the	DET
ijassa-878	298	8	periodicity	periodicity	NOUN
ijassa-878	298	9	of	of	ADP
ijassa-878	298	10	the	the	DET
ijassa-878	298	11	right	right	ADJ
ijassa-878	298	12	-	-	PUNCT
ijassa-878	298	13	hand	hand	NOUN
ijassa-878	298	14	side	side	NOUN
ijassa-878	298	15	with	with	ADP
ijassa-878	298	16	respect	respect	NOUN
ijassa-878	298	17	to	to	ADP
ijassa-878	298	18	the	the	DET
ijassa-878	298	19	x1(t	x1(t	PROPN
ijassa-878	298	20	)	)	PUNCT
ijassa-878	298	21	it	it	PRON
ijassa-878	298	22	follows	follow	VERB
ijassa-878	298	23	that	that	SCONJ
ijassa-878	298	24	the	the	DET
ijassa-878	298	25	solution	solution	NOUN
ijassa-878	298	26	space	space	NOUN
ijassa-878	298	27	of	of	ADP
ijassa-878	298	28	such	such	ADJ
ijassa-878	298	29	equation	equation	NOUN
ijassa-878	298	30	is	be	AUX
ijassa-878	298	31	invariant	invariant	ADJ
ijassa-878	298	32	copyright	copyright	NOUN
ijassa-878	298	33	©	©	PROPN
ijassa-878	298	34	2020	2020	NUM
ijassa-878	298	35	assa	assa	NOUN
ijassa-878	298	36	.	.	PUNCT
ijassa-878	299	1	adv	adv	PROPN
ijassa-878	299	2	syst	syst	PROPN
ijassa-878	299	3	sci	sci	PROPN
ijassa-878	299	4	appl	appl	PROPN
ijassa-878	299	5	(	(	PUNCT
ijassa-878	299	6	2020	2020	NUM
ijassa-878	299	7	)	)	PUNCT
ijassa-878	299	8	68	68	NUM
ijassa-878	299	9	a.	a.	NOUN
ijassa-878	299	10	beklaryan	beklaryan	X
ijassa-878	299	11	(	(	PUNCT
ijassa-878	299	12	a	a	X
ijassa-878	299	13	)	)	PUNCT
ijassa-878	299	14	trajectories	trajectory	NOUN
ijassa-878	299	15	of	of	ADP
ijassa-878	299	16	x1(t	x1(t	PROPN
ijassa-878	299	17	)	)	PUNCT
ijassa-878	299	18	at	at	ADP
ijassa-878	299	19	different	different	ADJ
ijassa-878	299	20	k	k	PROPN
ijassa-878	299	21	(	(	PUNCT
ijassa-878	299	22	b	b	NOUN
ijassa-878	299	23	)	)	PUNCT
ijassa-878	299	24	trajectories	trajectory	NOUN
ijassa-878	299	25	of	of	ADP
ijassa-878	299	26	x1(t	x1(t	PROPN
ijassa-878	299	27	)	)	PUNCT
ijassa-878	299	28	at	at	ADP
ijassa-878	299	29	different	different	ADJ
ijassa-878	299	30	c	c	PROPN
ijassa-878	299	31	fig	fig	NOUN
ijassa-878	299	32	.	.	PUNCT
ijassa-878	300	1	6.3	6.3	NUM
ijassa-878	300	2	.	.	PUNCT
ijassa-878	301	1	unbounded	unbounded	ADJ
ijassa-878	301	2	trajectories	trajectory	NOUN
ijassa-878	301	3	of	of	ADP
ijassa-878	301	4	x1(t	x1(t	PROPN
ijassa-878	301	5	)	)	PUNCT
ijassa-878	301	6	with	with	ADP
ijassa-878	301	7	respect	respect	NOUN
ijassa-878	301	8	to	to	ADP
ijassa-878	301	9	a	a	DET
ijassa-878	301	10	shift	shift	NOUN
ijassa-878	301	11	in	in	ADP
ijassa-878	301	12	x1(t	x1(t	PROPN
ijassa-878	301	13	)	)	PUNCT
ijassa-878	301	14	for	for	ADP
ijassa-878	301	15	a	a	DET
ijassa-878	301	16	period	period	NOUN
ijassa-878	301	17	equal	equal	ADJ
ijassa-878	301	18	to	to	ADP
ijassa-878	301	19	2π	2π	PROPN
ijassa-878	301	20	b	b	X
ijassa-878	301	21	.	.	PUNCT
ijassa-878	302	1	therefore	therefore	ADV
ijassa-878	302	2	,	,	PUNCT
ijassa-878	302	3	it	it	PRON
ijassa-878	302	4	suffices	suffice	VERB
ijassa-878	302	5	to	to	PART
ijassa-878	302	6	consider	consider	VERB
ijassa-878	302	7	a	a	DET
ijassa-878	302	8	family	family	NOUN
ijassa-878	302	9	of	of	ADP
ijassa-878	302	10	solutions	solution	NOUN
ijassa-878	302	11	of	of	ADP
ijassa-878	302	12	the	the	DET
ijassa-878	302	13	initial	initial	ADJ
ijassa-878	302	14	system	system	NOUN
ijassa-878	302	15	(	(	PUNCT
ijassa-878	302	16	6.28	6.28	NUM
ijassa-878	302	17	)	)	PUNCT
ijassa-878	302	18	with	with	ADP
ijassa-878	302	19	a	a	DET
ijassa-878	302	20	value	value	NOUN
ijassa-878	302	21	of	of	ADP
ijassa-878	302	22	initial	initial	ADJ
ijassa-878	302	23	conditions	condition	NOUN
ijassa-878	302	24	x1(0	x1(0	PROPN
ijassa-878	302	25	)	)	PUNCT
ijassa-878	302	26	from	from	ADP
ijassa-878	302	27	zero	zero	NUM
ijassa-878	302	28	to	to	ADP
ijassa-878	302	29	the	the	DET
ijassa-878	302	30	value	value	NOUN
ijassa-878	302	31	of	of	ADP
ijassa-878	302	32	the	the	DET
ijassa-878	302	33	period	period	NOUN
ijassa-878	302	34	.	.	PUNCT
ijassa-878	303	1	nevertheless	nevertheless	ADV
ijassa-878	303	2	,	,	PUNCT
ijassa-878	303	3	the	the	DET
ijassa-878	303	4	stationary	stationary	ADJ
ijassa-878	303	5	solutions	solution	NOUN
ijassa-878	303	6	x1(t	x1(t	PUNCT
ijassa-878	303	7	)	)	PUNCT
ijassa-878	303	8	are	be	AUX
ijassa-878	303	9	repeated	repeat	VERB
ijassa-878	303	10	each	each	DET
ijassa-878	303	11	half	half	ADJ
ijassa-878	303	12	-	-	PUNCT
ijassa-878	303	13	period	period	NOUN
ijassa-878	303	14	π	π	PROPN
ijassa-878	303	15	b	b	X
ijassa-878	303	16	.	.	PUNCT
ijassa-878	304	1	since	since	SCONJ
ijassa-878	304	2	the	the	DET
ijassa-878	304	3	right	right	ADJ
ijassa-878	304	4	-	-	PUNCT
ijassa-878	304	5	hand	hand	NOUN
ijassa-878	304	6	side	side	NOUN
ijassa-878	304	7	of	of	ADP
ijassa-878	304	8	the	the	DET
ijassa-878	304	9	equation	equation	NOUN
ijassa-878	304	10	is	be	AUX
ijassa-878	304	11	an	an	DET
ijassa-878	304	12	odd	odd	ADJ
ijassa-878	304	13	function	function	NOUN
ijassa-878	304	14	with	with	ADP
ijassa-878	304	15	respect	respect	NOUN
ijassa-878	304	16	to	to	ADP
ijassa-878	304	17	the	the	DET
ijassa-878	304	18	x1(t	x1(t	PROPN
ijassa-878	304	19	)	)	PUNCT
ijassa-878	304	20	,	,	PUNCT
ijassa-878	304	21	the	the	DET
ijassa-878	304	22	solution	solution	NOUN
ijassa-878	304	23	space	space	NOUN
ijassa-878	304	24	of	of	ADP
ijassa-878	304	25	such	such	ADJ
ijassa-878	304	26	equation	equation	NOUN
ijassa-878	304	27	can	can	AUX
ijassa-878	304	28	withstand	withstand	VERB
ijassa-878	304	29	the	the	DET
ijassa-878	304	30	reflection	reflection	NOUN
ijassa-878	304	31	transformation	transformation	NOUN
ijassa-878	304	32	with	with	ADP
ijassa-878	304	33	respect	respect	NOUN
ijassa-878	304	34	to	to	ADP
ijassa-878	304	35	the	the	DET
ijassa-878	304	36	axis	axis	NOUN
ijassa-878	304	37	t.	t.	PROPN
ijassa-878	304	38	hence	hence	ADV
ijassa-878	304	39	,	,	PUNCT
ijassa-878	304	40	it	it	PRON
ijassa-878	304	41	is	be	AUX
ijassa-878	304	42	sufficient	sufficient	ADJ
ijassa-878	304	43	to	to	PART
ijassa-878	304	44	construct	construct	VERB
ijassa-878	304	45	trajectories	trajectory	NOUN
ijassa-878	304	46	x1(t	x1(t	PUNCT
ijassa-878	304	47	)	)	PUNCT
ijassa-878	304	48	in	in	ADP
ijassa-878	304	49	the	the	DET
ijassa-878	304	50	strip	strip	NOUN
ijassa-878	304	51	from	from	ADP
ijassa-878	304	52	zero	zero	NUM
ijassa-878	304	53	to	to	ADP
ijassa-878	304	54	the	the	DET
ijassa-878	304	55	half	half	ADJ
ijassa-878	304	56	-	-	PUNCT
ijassa-878	304	57	period	period	NOUN
ijassa-878	304	58	.	.	PUNCT
ijassa-878	305	1	figure	figure	VERB
ijassa-878	305	2	6.2	6.2	NUM
ijassa-878	305	3	shows	show	VERB
ijassa-878	305	4	the	the	DET
ijassa-878	305	5	graphs	graph	NOUN
ijassa-878	305	6	x1(t	x1(t	PUNCT
ijassa-878	305	7	)	)	PUNCT
ijassa-878	305	8	for	for	ADP
ijassa-878	305	9	different	different	ADJ
ijassa-878	305	10	values	value	NOUN
ijassa-878	305	11	of	of	ADP
ijassa-878	305	12	the	the	DET
ijassa-878	305	13	parameter	parameter	NOUN
ijassa-878	305	14	c	c	PROPN
ijassa-878	305	15	=	=	SYM
ijassa-878	305	16	x1(0	x1(0	PROPN
ijassa-878	305	17	)	)	PUNCT
ijassa-878	305	18	for	for	ADP
ijassa-878	305	19	both	both	CCONJ
ijassa-878	305	20	the	the	DET
ijassa-878	305	21	system	system	NOUN
ijassa-878	305	22	(	(	PUNCT
ijassa-878	305	23	6.29	6.29	NUM
ijassa-878	305	24	)	)	PUNCT
ijassa-878	305	25	and	and	CCONJ
ijassa-878	305	26	the	the	DET
ijassa-878	305	27	initial	initial	ADJ
ijassa-878	305	28	system	system	NOUN
ijassa-878	305	29	(	(	PUNCT
ijassa-878	305	30	6.28	6.28	NUM
ijassa-878	305	31	)	)	PUNCT
ijassa-878	305	32	(	(	PUNCT
ijassa-878	305	33	the	the	DET
ijassa-878	305	34	values	value	NOUN
ijassa-878	305	35	of	of	ADP
ijassa-878	305	36	c	c	PROPN
ijassa-878	305	37	are	be	AUX
ijassa-878	305	38	reduced	reduce	VERB
ijassa-878	305	39	to	to	ADP
ijassa-878	305	40	half	half	ADJ
ijassa-878	305	41	-	-	PUNCT
ijassa-878	305	42	period	period	NOUN
ijassa-878	305	43	)	)	PUNCT
ijassa-878	305	44	.	.	PUNCT
ijassa-878	306	1	note	note	VERB
ijassa-878	306	2	that	that	DET
ijassa-878	306	3	fig	fig	NOUN
ijassa-878	306	4	.	.	PUNCT
ijassa-878	307	1	6.2	6.2	NUM
ijassa-878	307	2	shows	show	VERB
ijassa-878	307	3	the	the	DET
ijassa-878	307	4	complete	complete	ADJ
ijassa-878	307	5	family	family	NOUN
ijassa-878	307	6	of	of	ADP
ijassa-878	307	7	bounded	bounded	ADJ
ijassa-878	307	8	graphs	graph	NOUN
ijassa-878	307	9	x1(t	x1(t	PRON
ijassa-878	307	10	)	)	PUNCT
ijassa-878	307	11	(	(	PUNCT
ijassa-878	307	12	up	up	ADP
ijassa-878	307	13	to	to	ADP
ijassa-878	307	14	the	the	DET
ijassa-878	307	15	above	above	ADJ
ijassa-878	307	16	transformations	transformation	NOUN
ijassa-878	307	17	)	)	PUNCT
ijassa-878	307	18	from	from	ADP
ijassa-878	307	19	the	the	DET
ijassa-878	307	20	space	space	NOUN
ijassa-878	307	21	lnµc(0)(r	lnµc(0)(r	PROPN
ijassa-878	307	22	)	)	PUNCT
ijassa-878	307	23	for	for	ADP
ijassa-878	307	24	µ	µ	PRON
ijassa-878	307	25	∈	∈	NOUN
ijassa-878	307	26	(	(	PUNCT
ijassa-878	307	27	µ1(0.15	µ1(0.15	NOUN
ijassa-878	307	28	)	)	PUNCT
ijassa-878	307	29	,	,	PUNCT
ijassa-878	307	30	µ2(0.15	µ2(0.15	NUM
ijassa-878	307	31	)	)	PUNCT
ijassa-878	307	32	)	)	PUNCT
ijassa-878	307	33	.	.	PUNCT
ijassa-878	308	1	at	at	ADP
ijassa-878	308	2	the	the	DET
ijassa-878	308	3	same	same	ADJ
ijassa-878	308	4	time	time	NOUN
ijassa-878	308	5	,	,	PUNCT
ijassa-878	308	6	for	for	ADP
ijassa-878	308	7	some	some	DET
ijassa-878	308	8	initial	initial	ADJ
ijassa-878	308	9	conditions	condition	NOUN
ijassa-878	308	10	,	,	PUNCT
ijassa-878	308	11	there	there	PRON
ijassa-878	308	12	are	be	VERB
ijassa-878	308	13	only	only	ADV
ijassa-878	308	14	unbounded	unbounded	ADJ
ijassa-878	308	15	x1(t	x1(t	PROPN
ijassa-878	308	16	)	)	PUNCT
ijassa-878	308	17	.	.	PUNCT
ijassa-878	309	1	figure	figure	VERB
ijassa-878	309	2	6.3a	6.3a	PRON
ijassa-878	309	3	demonstrates	demonstrate	VERB
ijassa-878	309	4	the	the	DET
ijassa-878	309	5	evolution	evolution	NOUN
ijassa-878	309	6	of	of	ADP
ijassa-878	309	7	such	such	DET
ijassa-878	309	8	an	an	DET
ijassa-878	309	9	unbounded	unbounded	ADJ
ijassa-878	309	10	graph	graph	NOUN
ijassa-878	309	11	x1(t	x1(t	PUNCT
ijassa-878	309	12	)	)	PUNCT
ijassa-878	309	13	with	with	ADP
ijassa-878	309	14	increasing	increase	VERB
ijassa-878	309	15	k	k	PROPN
ijassa-878	309	16	for	for	ADP
ijassa-878	309	17	the	the	DET
ijassa-878	309	18	initial	initial	ADJ
ijassa-878	309	19	conditions	condition	NOUN
ijassa-878	309	20	x1(0	x1(0	PROPN
ijassa-878	309	21	)	)	PUNCT
ijassa-878	310	1	=	=	PUNCT
ijassa-878	310	2	π	π	PUNCT
ijassa-878	310	3	b	b	PROPN
ijassa-878	310	4	,	,	PUNCT
ijassa-878	310	5	x2(0	x2(0	PROPN
ijassa-878	310	6	)	)	PUNCT
ijassa-878	311	1	=	=	SYM
ijassa-878	311	2	50	50	NUM
ijassa-878	311	3	.	.	PUNCT
ijassa-878	312	1	figure	figure	NOUN
ijassa-878	312	2	6.3b	6.3b	NUM
ijassa-878	312	3	,	,	PUNCT
ijassa-878	312	4	in	in	ADP
ijassa-878	312	5	turn	turn	NOUN
ijassa-878	312	6	,	,	PUNCT
ijassa-878	312	7	shows	show	VERB
ijassa-878	312	8	a	a	DET
ijassa-878	312	9	one	one	NUM
ijassa-878	312	10	-	-	PUNCT
ijassa-878	312	11	parameter	parameter	NOUN
ijassa-878	312	12	family	family	NOUN
ijassa-878	312	13	of	of	ADP
ijassa-878	312	14	unbounded	unbounded	ADJ
ijassa-878	312	15	graphs	graph	NOUN
ijassa-878	312	16	x1(t	x1(t	PRON
ijassa-878	312	17	)	)	PUNCT
ijassa-878	312	18	for	for	ADP
ijassa-878	312	19	x1(0	x1(0	PROPN
ijassa-878	312	20	)	)	PUNCT
ijassa-878	313	1	=	=	PUNCT
ijassa-878	314	1	π	π	X
ijassa-878	314	2	b	b	PROPN
ijassa-878	314	3	and	and	CCONJ
ijassa-878	314	4	different	different	ADJ
ijassa-878	314	5	values	value	NOUN
ijassa-878	314	6	of	of	ADP
ijassa-878	314	7	x2(0	x2(0	PROPN
ijassa-878	314	8	)	)	PUNCT
ijassa-878	315	1	=	=	SYM
ijassa-878	315	2	c.	c.	PROPN
ijassa-878	315	3	7	7	NUM
ijassa-878	315	4	.	.	PUNCT
ijassa-878	316	1	conclusion	conclusion	VERB
ijassa-878	316	2	the	the	DET
ijassa-878	316	3	construction	construction	NOUN
ijassa-878	316	4	of	of	ADP
ijassa-878	316	5	numerical	numerical	ADJ
ijassa-878	316	6	solutions	solution	NOUN
ijassa-878	316	7	of	of	ADP
ijassa-878	316	8	the	the	DET
ijassa-878	316	9	traveling	travel	VERB
ijassa-878	316	10	wave	wave	NOUN
ijassa-878	316	11	type	type	NOUN
ijassa-878	316	12	for	for	ADP
ijassa-878	316	13	the	the	DET
ijassa-878	316	14	frenkel	frenkel	NOUN
ijassa-878	316	15	-	-	PUNCT
ijassa-878	316	16	kontorova	kontorova	NOUN
ijassa-878	316	17	model	model	NOUN
ijassa-878	316	18	on	on	ADP
ijassa-878	316	19	the	the	DET
ijassa-878	316	20	propagation	propagation	NOUN
ijassa-878	316	21	of	of	ADP
ijassa-878	316	22	longitudinal	longitudinal	ADJ
ijassa-878	316	23	waves	wave	NOUN
ijassa-878	316	24	using	use	VERB
ijassa-878	316	25	the	the	DET
ijassa-878	316	26	developed	develop	VERB
ijassa-878	316	27	software	software	NOUN
ijassa-878	316	28	package	package	NOUN
ijassa-878	316	29	was	be	AUX
ijassa-878	316	30	demonstrated	demonstrate	VERB
ijassa-878	316	31	.	.	PUNCT
ijassa-878	317	1	for	for	ADP
ijassa-878	317	2	this	this	DET
ijassa-878	317	3	model	model	NOUN
ijassa-878	317	4	,	,	PUNCT
ijassa-878	317	5	a	a	DET
ijassa-878	317	6	complete	complete	ADJ
ijassa-878	317	7	family	family	NOUN
ijassa-878	317	8	of	of	ADP
ijassa-878	317	9	traveling	travel	VERB
ijassa-878	317	10	wave	wave	NOUN
ijassa-878	317	11	solutions	solution	NOUN
ijassa-878	317	12	was	be	AUX
ijassa-878	317	13	constructed	construct	VERB
ijassa-878	317	14	.	.	PUNCT
ijassa-878	318	1	acknowledgements	acknowledgement	NOUN
ijassa-878	318	2	the	the	DET
ijassa-878	318	3	reported	report	VERB
ijassa-878	318	4	study	study	NOUN
ijassa-878	318	5	was	be	AUX
ijassa-878	318	6	funded	fund	VERB
ijassa-878	318	7	by	by	ADP
ijassa-878	318	8	rfbr	rfbr	NOUN
ijassa-878	318	9	according	accord	VERB
ijassa-878	318	10	to	to	ADP
ijassa-878	318	11	the	the	DET
ijassa-878	318	12	research	research	NOUN
ijassa-878	318	13	project	project	NOUN
ijassa-878	318	14	19	19	NUM
ijassa-878	318	15	-	-	PUNCT
ijassa-878	318	16	01	01	NUM
ijassa-878	318	17	-	-	PUNCT
ijassa-878	318	18	00147	00147	NUM
ijassa-878	318	19	.	.	PUNCT
ijassa-878	319	1	references	reference	NOUN
ijassa-878	319	2	1	1	NUM
ijassa-878	319	3	.	.	PUNCT
ijassa-878	319	4	bellman	bellman	PROPN
ijassa-878	319	5	,	,	PUNCT
ijassa-878	319	6	r.	r.	PROPN
ijassa-878	319	7	&	&	CCONJ
ijassa-878	319	8	cooke	cooke	PROPN
ijassa-878	319	9	,	,	PUNCT
ijassa-878	319	10	k.	k.	PROPN
ijassa-878	319	11	l.	l.	PROPN
ijassa-878	319	12	(	(	PUNCT
ijassa-878	319	13	1963	1963	NUM
ijassa-878	319	14	)	)	PUNCT
ijassa-878	319	15	differential	differential	ADJ
ijassa-878	319	16	-	-	PUNCT
ijassa-878	319	17	difference	difference	NOUN
ijassa-878	319	18	equations	equation	NOUN
ijassa-878	319	19	.	.	PUNCT
ijassa-878	320	1	new	new	PROPN
ijassa-878	320	2	york	york	PROPN
ijassa-878	320	3	:	:	PUNCT
ijassa-878	320	4	academic	academic	ADJ
ijassa-878	320	5	press	press	NOUN
ijassa-878	320	6	.	.	PUNCT
ijassa-878	321	1	2	2	X
ijassa-878	321	2	.	.	X
ijassa-878	321	3	hale	hale	PROPN
ijassa-878	321	4	,	,	PUNCT
ijassa-878	321	5	j.	j.	PROPN
ijassa-878	321	6	k.	k.	PROPN
ijassa-878	321	7	(	(	PUNCT
ijassa-878	321	8	1977	1977	NUM
ijassa-878	321	9	)	)	PUNCT
ijassa-878	321	10	theory	theory	NOUN
ijassa-878	321	11	of	of	ADP
ijassa-878	321	12	functional	functional	ADJ
ijassa-878	321	13	differential	differential	ADJ
ijassa-878	321	14	equations	equation	NOUN
ijassa-878	321	15	.	.	PUNCT
ijassa-878	322	1	new	new	PROPN
ijassa-878	322	2	york	york	PROPN
ijassa-878	322	3	:	:	PUNCT
ijassa-878	322	4	springer	springer	NOUN
ijassa-878	322	5	.	.	PUNCT
ijassa-878	323	1	copyright	copyright	NOUN
ijassa-878	323	2	©	©	PROPN
ijassa-878	323	3	2020	2020	NUM
ijassa-878	323	4	assa	assa	NOUN
ijassa-878	323	5	.	.	PUNCT
ijassa-878	324	1	adv	adv	PROPN
ijassa-878	324	2	syst	syst	PROPN
ijassa-878	324	3	sci	sci	PROPN
ijassa-878	324	4	appl	appl	PROPN
ijassa-878	324	5	(	(	PUNCT
ijassa-878	324	6	2020	2020	NUM
ijassa-878	324	7	)	)	PUNCT
ijassa-878	324	8	numerical	numerical	ADJ
ijassa-878	324	9	methods	method	NOUN
ijassa-878	324	10	for	for	ADP
ijassa-878	324	11	functional	functional	ADJ
ijassa-878	324	12	differential	differential	ADJ
ijassa-878	324	13	equations	equation	NOUN
ijassa-878	324	14	69	69	NUM
ijassa-878	324	15	3	3	NUM
ijassa-878	324	16	.	.	PUNCT
ijassa-878	324	17	myshkis	myshki	NOUN
ijassa-878	324	18	,	,	PUNCT
ijassa-878	324	19	a.	a.	PROPN
ijassa-878	324	20	d.	d.	PROPN
ijassa-878	324	21	(	(	PUNCT
ijassa-878	324	22	1972	1972	NUM
ijassa-878	324	23	)	)	PUNCT
ijassa-878	324	24	linear	linear	ADJ
ijassa-878	324	25	differential	differential	ADJ
ijassa-878	324	26	equations	equation	NOUN
ijassa-878	324	27	with	with	ADP
ijassa-878	324	28	retarded	retarded	ADJ
ijassa-878	324	29	arguments	argument	NOUN
ijassa-878	324	30	.	.	PUNCT
ijassa-878	325	1	moscow	moscow	PROPN
ijassa-878	325	2	:	:	PUNCT
ijassa-878	325	3	nauka	nauka	PROPN
ijassa-878	325	4	,	,	PUNCT
ijassa-878	325	5	(	(	PUNCT
ijassa-878	325	6	in	in	ADP
ijassa-878	325	7	russian	russian	NOUN
ijassa-878	325	8	)	)	PUNCT
ijassa-878	325	9	.	.	PUNCT
ijassa-878	326	1	4	4	X
ijassa-878	326	2	.	.	X
ijassa-878	326	3	bellen	bellen	VERB
ijassa-878	326	4	,	,	PUNCT
ijassa-878	326	5	a.	a.	PROPN
ijassa-878	326	6	&	&	CCONJ
ijassa-878	326	7	zennaro	zennaro	PROPN
ijassa-878	326	8	,	,	PUNCT
ijassa-878	326	9	m.	m.	NOUN
ijassa-878	326	10	(	(	PUNCT
ijassa-878	326	11	2003	2003	NUM
ijassa-878	326	12	)	)	PUNCT
ijassa-878	326	13	numerical	numerical	ADJ
ijassa-878	326	14	methods	method	NOUN
ijassa-878	326	15	for	for	ADP
ijassa-878	326	16	delay	delay	NOUN
ijassa-878	326	17	differential	differential	ADJ
ijassa-878	326	18	equations	equation	NOUN
ijassa-878	326	19	.	.	PUNCT
ijassa-878	327	1	usa	usa	PROPN
ijassa-878	327	2	:	:	PUNCT
ijassa-878	327	3	oxford	oxford	PROPN
ijassa-878	327	4	university	university	PROPN
ijassa-878	327	5	press	press	NOUN
ijassa-878	327	6	.	.	PUNCT
ijassa-878	328	1	5	5	X
ijassa-878	328	2	.	.	X
ijassa-878	328	3	maset	maset	NOUN
ijassa-878	328	4	,	,	PUNCT
ijassa-878	328	5	s.	s.	PROPN
ijassa-878	328	6	(	(	PUNCT
ijassa-878	328	7	2003	2003	NUM
ijassa-878	328	8	)	)	PUNCT
ijassa-878	328	9	numerical	numerical	ADJ
ijassa-878	328	10	solution	solution	NOUN
ijassa-878	328	11	of	of	ADP
ijassa-878	328	12	retarded	retarded	ADJ
ijassa-878	328	13	functional	functional	ADJ
ijassa-878	328	14	differential	differential	ADJ
ijassa-878	328	15	equations	equation	NOUN
ijassa-878	328	16	as	as	ADP
ijassa-878	328	17	abstract	abstract	ADJ
ijassa-878	328	18	cauchy	cauchy	PROPN
ijassa-878	328	19	problems	problem	NOUN
ijassa-878	328	20	.	.	PUNCT
ijassa-878	329	1	journal	journal	NOUN
ijassa-878	329	2	of	of	ADP
ijassa-878	329	3	computational	computational	ADJ
ijassa-878	329	4	and	and	CCONJ
ijassa-878	329	5	applied	applied	ADJ
ijassa-878	329	6	mathematics	mathematic	NOUN
ijassa-878	329	7	,	,	PUNCT
ijassa-878	329	8	161	161	NUM
ijassa-878	329	9	,	,	PUNCT
ijassa-878	329	10	259–282	259–282	NUM
ijassa-878	329	11	,	,	PUNCT
ijassa-878	329	12	https://dx.doi.org/10.1016/j.cam.2003.03.001	https://dx.doi.org/10.1016/j.cam.2003.03.001	NOUN
ijassa-878	329	13	.	.	PUNCT
ijassa-878	330	1	6	6	NUM
ijassa-878	330	2	.	.	X
ijassa-878	330	3	el’sgol’ts	el’sgol’ts	PROPN
ijassa-878	330	4	,	,	PUNCT
ijassa-878	330	5	l.	l.	PROPN
ijassa-878	330	6	e.	e.	PROPN
ijassa-878	330	7	&	&	CCONJ
ijassa-878	330	8	norkin	norkin	PROPN
ijassa-878	330	9	,	,	PUNCT
ijassa-878	330	10	s.	s.	PROPN
ijassa-878	330	11	b.	b.	PROPN
ijassa-878	330	12	(	(	PUNCT
ijassa-878	330	13	1973	1973	NUM
ijassa-878	330	14	)	)	PUNCT
ijassa-878	330	15	introduction	introduction	NOUN
ijassa-878	330	16	to	to	ADP
ijassa-878	330	17	the	the	DET
ijassa-878	330	18	theory	theory	NOUN
ijassa-878	330	19	and	and	CCONJ
ijassa-878	330	20	application	application	NOUN
ijassa-878	330	21	of	of	ADP
ijassa-878	330	22	differential	differential	ADJ
ijassa-878	330	23	equations	equation	NOUN
ijassa-878	330	24	with	with	ADP
ijassa-878	330	25	deviating	deviate	VERB
ijassa-878	330	26	arguments	argument	NOUN
ijassa-878	330	27	.	.	PUNCT
ijassa-878	331	1	new	new	PROPN
ijassa-878	331	2	york	york	PROPN
ijassa-878	331	3	:	:	PUNCT
ijassa-878	331	4	academic	academic	ADJ
ijassa-878	331	5	press	press	NOUN
ijassa-878	331	6	.	.	PUNCT
ijassa-878	332	1	7	7	X
ijassa-878	332	2	.	.	X
ijassa-878	332	3	baotong	baotong	PROPN
ijassa-878	332	4	,	,	PUNCT
ijassa-878	332	5	c.	c.	PROPN
ijassa-878	332	6	(	(	PUNCT
ijassa-878	332	7	1995	1995	NUM
ijassa-878	332	8	)	)	PUNCT
ijassa-878	332	9	functional	functional	ADJ
ijassa-878	332	10	differential	differential	ADJ
ijassa-878	332	11	equations	equation	NOUN
ijassa-878	332	12	mixed	mix	VERB
ijassa-878	332	13	type	type	NOUN
ijassa-878	332	14	in	in	ADP
ijassa-878	332	15	banach	banach	NOUN
ijassa-878	332	16	spaces	space	NOUN
ijassa-878	332	17	.	.	PUNCT
ijassa-878	333	1	rendiconti	rendiconti	PROPN
ijassa-878	333	2	del	del	PROPN
ijassa-878	333	3	seminario	seminario	PROPN
ijassa-878	333	4	matematico	matematico	NOUN
ijassa-878	333	5	della	della	PROPN
ijassa-878	333	6	università	università	PROPN
ijassa-878	333	7	di	di	PROPN
ijassa-878	333	8	padova	padova	PROPN
ijassa-878	333	9	,	,	PUNCT
ijassa-878	333	10	94	94	NUM
ijassa-878	333	11	,	,	PUNCT
ijassa-878	333	12	47–54	47–54	NUM
ijassa-878	333	13	.	.	NOUN
ijassa-878	333	14	8	8	NUM
ijassa-878	333	15	.	.	X
ijassa-878	333	16	ford	ford	PROPN
ijassa-878	333	17	,	,	PUNCT
ijassa-878	333	18	n.	n.	PROPN
ijassa-878	333	19	j.	j.	PROPN
ijassa-878	333	20	&	&	CCONJ
ijassa-878	333	21	lumb	lumb	PROPN
ijassa-878	333	22	,	,	PUNCT
ijassa-878	333	23	p.	p.	NOUN
ijassa-878	333	24	m.	m.	NOUN
ijassa-878	333	25	(	(	PUNCT
ijassa-878	333	26	2009	2009	NUM
ijassa-878	333	27	)	)	PUNCT
ijassa-878	333	28	mixed	mixed	ADJ
ijassa-878	333	29	-	-	PUNCT
ijassa-878	333	30	type	type	NOUN
ijassa-878	333	31	functional	functional	ADJ
ijassa-878	333	32	differential	differential	NOUN
ijassa-878	333	33	equations	equation	NOUN
ijassa-878	333	34	:	:	PUNCT
ijassa-878	333	35	a	a	DET
ijassa-878	333	36	numerical	numerical	ADJ
ijassa-878	333	37	approach	approach	NOUN
ijassa-878	333	38	.	.	PUNCT
ijassa-878	334	1	journal	journal	NOUN
ijassa-878	334	2	of	of	ADP
ijassa-878	334	3	computational	computational	ADJ
ijassa-878	334	4	and	and	CCONJ
ijassa-878	334	5	applied	applied	ADJ
ijassa-878	334	6	mathematics	mathematic	NOUN
ijassa-878	334	7	,	,	PUNCT
ijassa-878	334	8	229	229	NUM
ijassa-878	334	9	,	,	PUNCT
ijassa-878	334	10	471	471	NUM
ijassa-878	334	11	–	–	PUNCT
ijassa-878	334	12	479	479	NUM
ijassa-878	334	13	,	,	PUNCT
ijassa-878	334	14	https://dx.doi.org/10.1016/j.cam.2008.04.016	https://dx.doi.org/10.1016/j.cam.2008.04.016	PROPN
ijassa-878	334	15	.	.	PUNCT
ijassa-878	335	1	9	9	X
ijassa-878	335	2	.	.	X
ijassa-878	335	3	abell	abell	PROPN
ijassa-878	335	4	,	,	PUNCT
ijassa-878	335	5	k.	k.	PROPN
ijassa-878	335	6	a.	a.	PROPN
ijassa-878	335	7	,	,	PUNCT
ijassa-878	335	8	elmer	elmer	PROPN
ijassa-878	335	9	,	,	PUNCT
ijassa-878	335	10	c.	c.	PROPN
ijassa-878	335	11	e.	e.	PROPN
ijassa-878	335	12	,	,	PUNCT
ijassa-878	335	13	humphries	humphries	PROPN
ijassa-878	335	14	,	,	PUNCT
ijassa-878	335	15	a.	a.	PROPN
ijassa-878	335	16	r.	r.	PROPN
ijassa-878	335	17	,	,	PUNCT
ijassa-878	335	18	&	&	CCONJ
ijassa-878	335	19	van	van	PROPN
ijassa-878	335	20	vleck	vleck	PROPN
ijassa-878	335	21	,	,	PUNCT
ijassa-878	335	22	e.	e.	PROPN
ijassa-878	335	23	s.	s.	PROPN
ijassa-878	335	24	(	(	PUNCT
ijassa-878	335	25	2005	2005	NUM
ijassa-878	335	26	)	)	PUNCT
ijassa-878	335	27	computation	computation	NOUN
ijassa-878	335	28	of	of	ADP
ijassa-878	335	29	mixed	mixed	ADJ
ijassa-878	335	30	type	type	NOUN
ijassa-878	335	31	functional	functional	ADJ
ijassa-878	335	32	differential	differential	NOUN
ijassa-878	335	33	boundary	boundary	ADJ
ijassa-878	335	34	value	value	NOUN
ijassa-878	335	35	problems	problem	NOUN
ijassa-878	335	36	.	.	PUNCT
ijassa-878	336	1	siam	siam	PROPN
ijassa-878	336	2	journal	journal	PROPN
ijassa-878	336	3	on	on	ADP
ijassa-878	336	4	applied	apply	VERB
ijassa-878	336	5	dynamical	dynamical	ADJ
ijassa-878	336	6	systems	system	NOUN
ijassa-878	336	7	,	,	PUNCT
ijassa-878	336	8	4	4	NUM
ijassa-878	336	9	,	,	PUNCT
ijassa-878	336	10	755–781	755–781	NUM
ijassa-878	336	11	,	,	PUNCT
ijassa-878	336	12	https://dx.doi.org/10.1137/040603425	https://dx.doi.org/10.1137/040603425	NOUN
ijassa-878	336	13	.	.	PUNCT
ijassa-878	337	1	10	10	NUM
ijassa-878	337	2	.	.	PUNCT
ijassa-878	338	1	lima	lima	PROPN
ijassa-878	338	2	,	,	PUNCT
ijassa-878	338	3	p.	p.	NOUN
ijassa-878	338	4	m.	m.	NOUN
ijassa-878	338	5	,	,	PUNCT
ijassa-878	338	6	teodoro	teodoro	PROPN
ijassa-878	338	7	,	,	PUNCT
ijassa-878	338	8	m.	m.	PROPN
ijassa-878	338	9	f.	f.	PROPN
ijassa-878	338	10	,	,	PUNCT
ijassa-878	338	11	ford	ford	PROPN
ijassa-878	338	12	,	,	PUNCT
ijassa-878	338	13	n.	n.	PROPN
ijassa-878	338	14	j.	j.	PROPN
ijassa-878	338	15	,	,	PUNCT
ijassa-878	338	16	&	&	CCONJ
ijassa-878	338	17	lumb	lumb	PROPN
ijassa-878	338	18	,	,	PUNCT
ijassa-878	338	19	p.	p.	NOUN
ijassa-878	338	20	m.	m.	NOUN
ijassa-878	338	21	(	(	PUNCT
ijassa-878	338	22	2010	2010	NUM
ijassa-878	338	23	)	)	PUNCT
ijassa-878	338	24	analytical	analytical	ADJ
ijassa-878	338	25	and	and	CCONJ
ijassa-878	338	26	numerical	numerical	ADJ
ijassa-878	338	27	investigation	investigation	NOUN
ijassa-878	338	28	of	of	ADP
ijassa-878	338	29	mixed	mixed	ADJ
ijassa-878	338	30	-	-	PUNCT
ijassa-878	338	31	type	type	NOUN
ijassa-878	338	32	functional	functional	ADJ
ijassa-878	338	33	differential	differential	NOUN
ijassa-878	338	34	equations	equation	NOUN
ijassa-878	338	35	.	.	PUNCT
ijassa-878	339	1	journal	journal	NOUN
ijassa-878	339	2	of	of	ADP
ijassa-878	339	3	computational	computational	ADJ
ijassa-878	339	4	and	and	CCONJ
ijassa-878	339	5	applied	applied	ADJ
ijassa-878	339	6	mathematics	mathematic	NOUN
ijassa-878	339	7	,	,	PUNCT
ijassa-878	339	8	234	234	NUM
ijassa-878	339	9	,	,	PUNCT
ijassa-878	339	10	2826–2837	2826–2837	NUM
ijassa-878	339	11	,	,	PUNCT
ijassa-878	339	12	https://dx.doi.org/10.1016/j.cam.2010.01.028	https://dx.doi.org/10.1016/j.cam.2010.01.028	PROPN
ijassa-878	339	13	.	.	PUNCT
ijassa-878	340	1	11	11	NUM
ijassa-878	340	2	.	.	PUNCT
ijassa-878	341	1	lima	lima	PROPN
ijassa-878	341	2	,	,	PUNCT
ijassa-878	341	3	p.	p.	NOUN
ijassa-878	341	4	m.	m.	NOUN
ijassa-878	341	5	,	,	PUNCT
ijassa-878	341	6	teodoro	teodoro	PROPN
ijassa-878	341	7	,	,	PUNCT
ijassa-878	341	8	m.	m.	PROPN
ijassa-878	341	9	f.	f.	PROPN
ijassa-878	341	10	,	,	PUNCT
ijassa-878	341	11	ford	ford	PROPN
ijassa-878	341	12	,	,	PUNCT
ijassa-878	341	13	n.	n.	PROPN
ijassa-878	341	14	j.	j.	PROPN
ijassa-878	341	15	,	,	PUNCT
ijassa-878	341	16	&	&	CCONJ
ijassa-878	341	17	lumb	lumb	PROPN
ijassa-878	341	18	,	,	PUNCT
ijassa-878	341	19	p.	p.	NOUN
ijassa-878	341	20	m.	m.	NOUN
ijassa-878	341	21	(	(	PUNCT
ijassa-878	341	22	2010	2010	NUM
ijassa-878	341	23	)	)	PUNCT
ijassa-878	341	24	finite	finite	PROPN
ijassa-878	341	25	element	element	NOUN
ijassa-878	341	26	solution	solution	NOUN
ijassa-878	341	27	of	of	ADP
ijassa-878	341	28	a	a	DET
ijassa-878	341	29	linear	linear	ADJ
ijassa-878	341	30	mixed	mixed	ADJ
ijassa-878	341	31	-	-	PUNCT
ijassa-878	341	32	type	type	NOUN
ijassa-878	341	33	functional	functional	ADJ
ijassa-878	341	34	differential	differential	NOUN
ijassa-878	341	35	equation	equation	NOUN
ijassa-878	341	36	.	.	PUNCT
ijassa-878	342	1	numerical	numerical	ADJ
ijassa-878	342	2	algorithms	algorithms	PROPN
ijassa-878	342	3	,	,	PUNCT
ijassa-878	342	4	55	55	NUM
ijassa-878	342	5	,	,	PUNCT
ijassa-878	342	6	301	301	NUM
ijassa-878	342	7	–	–	PUNCT
ijassa-878	342	8	320	320	NUM
ijassa-878	342	9	,	,	PUNCT
ijassa-878	342	10	https://dx.doi.org/10.1007/s11075-010-9412-y	https://dx.doi.org/10.1007/s11075-010-9412-y	NOUN
ijassa-878	342	11	.	.	PUNCT
ijassa-878	343	1	12	12	NUM
ijassa-878	343	2	.	.	PUNCT
ijassa-878	344	1	li	li	PROPN
ijassa-878	344	2	,	,	PUNCT
ijassa-878	344	3	x.	x.	PROPN
ijassa-878	344	4	y.	y.	PROPN
ijassa-878	344	5	&	&	CCONJ
ijassa-878	344	6	wu	wu	PROPN
ijassa-878	344	7	,	,	PUNCT
ijassa-878	344	8	b.	b.	PROPN
ijassa-878	344	9	y.	y.	PROPN
ijassa-878	344	10	(	(	PUNCT
ijassa-878	344	11	2014	2014	NUM
ijassa-878	344	12	)	)	PUNCT
ijassa-878	344	13	a	a	DET
ijassa-878	344	14	continuous	continuous	ADJ
ijassa-878	344	15	method	method	NOUN
ijassa-878	344	16	for	for	ADP
ijassa-878	344	17	nonlocal	nonlocal	ADJ
ijassa-878	344	18	functional	functional	ADJ
ijassa-878	344	19	differential	differential	ADJ
ijassa-878	344	20	equations	equation	NOUN
ijassa-878	344	21	with	with	ADP
ijassa-878	344	22	delayed	delay	VERB
ijassa-878	344	23	or	or	CCONJ
ijassa-878	344	24	advanced	advanced	ADJ
ijassa-878	344	25	arguments	argument	NOUN
ijassa-878	344	26	.	.	PUNCT
ijassa-878	345	1	journal	journal	NOUN
ijassa-878	345	2	of	of	ADP
ijassa-878	345	3	mathematical	mathematical	ADJ
ijassa-878	345	4	analysis	analysis	NOUN
ijassa-878	345	5	and	and	CCONJ
ijassa-878	345	6	applications	application	NOUN
ijassa-878	345	7	,	,	PUNCT
ijassa-878	345	8	409	409	NUM
ijassa-878	345	9	,	,	PUNCT
ijassa-878	345	10	485–493	485–493	NUM
ijassa-878	345	11	,	,	PUNCT
ijassa-878	345	12	https://dx.doi.org/10.1016/j.jmaa.2013.07.039	https://dx.doi.org/10.1016/j.jmaa.2013.07.039	NOUN
ijassa-878	345	13	.	.	PROPN
ijassa-878	346	1	13	13	NUM
ijassa-878	346	2	.	.	PUNCT
ijassa-878	347	1	evtushenko	evtushenko	PROPN
ijassa-878	347	2	,	,	PUNCT
ijassa-878	347	3	y.	y.	PROPN
ijassa-878	347	4	,	,	PUNCT
ijassa-878	347	5	posypkin	posypkin	NOUN
ijassa-878	347	6	,	,	PUNCT
ijassa-878	347	7	m.	m.	NOUN
ijassa-878	347	8	,	,	PUNCT
ijassa-878	347	9	&	&	CCONJ
ijassa-878	347	10	sigal	sigal	PROPN
ijassa-878	347	11	,	,	PUNCT
ijassa-878	347	12	i.	i.	PROPN
ijassa-878	347	13	(	(	PUNCT
ijassa-878	347	14	2009	2009	NUM
ijassa-878	347	15	)	)	PUNCT
ijassa-878	348	1	a	a	DET
ijassa-878	348	2	framework	framework	NOUN
ijassa-878	348	3	for	for	ADP
ijassa-878	348	4	parallel	parallel	ADJ
ijassa-878	348	5	large	large	ADJ
ijassa-878	348	6	-	-	PUNCT
ijassa-878	348	7	scale	scale	NOUN
ijassa-878	348	8	global	global	ADJ
ijassa-878	348	9	optimization	optimization	NOUN
ijassa-878	348	10	.	.	PUNCT
ijassa-878	349	1	computer	computer	NOUN
ijassa-878	349	2	science	science	NOUN
ijassa-878	349	3	–	–	PUNCT
ijassa-878	349	4	research	research	NOUN
ijassa-878	349	5	and	and	CCONJ
ijassa-878	349	6	development	development	NOUN
ijassa-878	349	7	,	,	PUNCT
ijassa-878	349	8	23	23	NUM
ijassa-878	349	9	,	,	PUNCT
ijassa-878	349	10	211–215	211–215	NUM
ijassa-878	349	11	,	,	PUNCT
ijassa-878	349	12	https://dx.doi.org/10.1007/s00450-009-0083-7	https://dx.doi.org/10.1007/s00450-009-0083-7	PRON
ijassa-878	349	13	.	.	PUNCT
ijassa-878	350	1	14	14	NUM
ijassa-878	350	2	.	.	PUNCT
ijassa-878	351	1	zhigljavsky	zhigljavsky	NOUN
ijassa-878	351	2	,	,	PUNCT
ijassa-878	351	3	a.	a.	PROPN
ijassa-878	351	4	&	&	CCONJ
ijassa-878	351	5	žilinskas	žilinskas	PROPN
ijassa-878	351	6	,	,	PUNCT
ijassa-878	351	7	a.	a.	NOUN
ijassa-878	351	8	(	(	PUNCT
ijassa-878	351	9	2008	2008	NUM
ijassa-878	351	10	)	)	PUNCT
ijassa-878	351	11	stochastic	stochastic	ADJ
ijassa-878	351	12	global	global	ADJ
ijassa-878	351	13	optimization	optimization	NOUN
ijassa-878	351	14	.	.	PUNCT
ijassa-878	352	1	us	we	PRON
ijassa-878	352	2	:	:	PUNCT
ijassa-878	352	3	springer	springer	NOUN
ijassa-878	352	4	,	,	PUNCT
ijassa-878	352	5	https://dx.doi.org/10.1007/978-0-387-74740-8	https://dx.doi.org/10.1007/978-0-387-74740-8	PROPN
ijassa-878	352	6	.	.	PROPN
ijassa-878	352	7	15	15	NUM
ijassa-878	352	8	.	.	X
ijassa-878	352	9	bellman	bellman	PROPN
ijassa-878	352	10	,	,	PUNCT
ijassa-878	352	11	r.	r.	PROPN
ijassa-878	352	12	(	(	PUNCT
ijassa-878	352	13	1957	1957	NUM
ijassa-878	352	14	)	)	PUNCT
ijassa-878	352	15	dynamic	dynamic	ADJ
ijassa-878	352	16	programming	programming	NOUN
ijassa-878	352	17	.	.	PUNCT
ijassa-878	353	1	princeton	princeton	PROPN
ijassa-878	353	2	,	,	PUNCT
ijassa-878	353	3	new	new	PROPN
ijassa-878	353	4	jersey	jersey	PROPN
ijassa-878	353	5	:	:	PUNCT
ijassa-878	353	6	princeton	princeton	PROPN
ijassa-878	353	7	university	university	PROPN
ijassa-878	353	8	press	press	NOUN
ijassa-878	353	9	.	.	PUNCT
ijassa-878	354	1	16	16	NUM
ijassa-878	354	2	.	.	PUNCT
ijassa-878	355	1	krotov	krotov	PROPN
ijassa-878	355	2	,	,	PUNCT
ijassa-878	355	3	v.	v.	PROPN
ijassa-878	355	4	f.	f.	PROPN
ijassa-878	355	5	(	(	PUNCT
ijassa-878	355	6	1996	1996	NUM
ijassa-878	355	7	)	)	PUNCT
ijassa-878	355	8	global	global	ADJ
ijassa-878	355	9	methods	method	NOUN
ijassa-878	355	10	in	in	ADP
ijassa-878	355	11	optimal	optimal	ADJ
ijassa-878	355	12	control	control	NOUN
ijassa-878	355	13	theory	theory	NOUN
ijassa-878	355	14	.	.	PUNCT
ijassa-878	356	1	new	new	PROPN
ijassa-878	356	2	york	york	PROPN
ijassa-878	356	3	:	:	PUNCT
ijassa-878	356	4	marcel	marcel	PROPN
ijassa-878	356	5	dekker	dekker	PROPN
ijassa-878	356	6	inc	inc	PROPN
ijassa-878	356	7	.	.	PROPN
ijassa-878	356	8	17	17	NUM
ijassa-878	356	9	.	.	PUNCT
ijassa-878	357	1	chachuat	chachuat	PROPN
ijassa-878	357	2	,	,	PUNCT
ijassa-878	357	3	b.	b.	PROPN
ijassa-878	357	4	,	,	PUNCT
ijassa-878	357	5	singer	singer	NOUN
ijassa-878	357	6	,	,	PUNCT
ijassa-878	357	7	a.	a.	PROPN
ijassa-878	357	8	b.	b.	PROPN
ijassa-878	357	9	,	,	PUNCT
ijassa-878	357	10	&	&	CCONJ
ijassa-878	357	11	barton	barton	PROPN
ijassa-878	357	12	,	,	PUNCT
ijassa-878	357	13	p.	p.	NOUN
ijassa-878	357	14	i.	i.	PROPN
ijassa-878	357	15	(	(	PUNCT
ijassa-878	357	16	2006	2006	NUM
ijassa-878	357	17	)	)	PUNCT
ijassa-878	357	18	global	global	ADJ
ijassa-878	357	19	methods	method	NOUN
ijassa-878	357	20	for	for	ADP
ijassa-878	357	21	dynamic	dynamic	ADJ
ijassa-878	357	22	optimization	optimization	NOUN
ijassa-878	357	23	and	and	CCONJ
ijassa-878	357	24	mixed	mixed	ADJ
ijassa-878	357	25	-	-	PUNCT
ijassa-878	357	26	integer	integer	NOUN
ijassa-878	357	27	dynamic	dynamic	ADJ
ijassa-878	357	28	optimization	optimization	NOUN
ijassa-878	357	29	.	.	PUNCT
ijassa-878	358	1	industrial	industrial	PROPN
ijassa-878	358	2	&	&	CCONJ
ijassa-878	358	3	engineering	engineer	VERB
ijassa-878	358	4	chemistry	chemistry	NOUN
ijassa-878	358	5	research	research	NOUN
ijassa-878	358	6	,	,	PUNCT
ijassa-878	358	7	45	45	NUM
ijassa-878	358	8	,	,	PUNCT
ijassa-878	358	9	8373–8392	8373–8392	NUM
ijassa-878	358	10	,	,	PUNCT
ijassa-878	358	11	https://dx.doi.org/10.1021/ie0601605	https://dx.doi.org/10.1021/ie0601605	NOUN
ijassa-878	358	12	.	.	PROPN
ijassa-878	358	13	18	18	NUM
ijassa-878	358	14	.	.	PUNCT
ijassa-878	359	1	lopez	lopez	PROPN
ijassa-878	359	2	cruz	cruz	PROPN
ijassa-878	359	3	,	,	PUNCT
ijassa-878	359	4	i.	i.	PROPN
ijassa-878	359	5	l.	l.	PROPN
ijassa-878	359	6	,	,	PUNCT
ijassa-878	359	7	van	van	PROPN
ijassa-878	359	8	willigenburg	willigenburg	PROPN
ijassa-878	359	9	,	,	PUNCT
ijassa-878	359	10	l.	l.	PROPN
ijassa-878	359	11	g.	g.	PROPN
ijassa-878	359	12	,	,	PUNCT
ijassa-878	359	13	&	&	CCONJ
ijassa-878	359	14	van	van	PROPN
ijassa-878	359	15	straten	straten	ADV
ijassa-878	359	16	,	,	PUNCT
ijassa-878	359	17	g.	g.	PROPN
ijassa-878	359	18	(	(	PUNCT
ijassa-878	359	19	2003	2003	NUM
ijassa-878	359	20	)	)	PUNCT
ijassa-878	359	21	efficient	efficient	ADJ
ijassa-878	359	22	differential	differential	ADJ
ijassa-878	359	23	evolution	evolution	NOUN
ijassa-878	359	24	algorithms	algorithm	NOUN
ijassa-878	359	25	for	for	ADP
ijassa-878	359	26	multimodal	multimodal	ADJ
ijassa-878	359	27	optimal	optimal	ADJ
ijassa-878	359	28	control	control	NOUN
ijassa-878	359	29	problem	problem	NOUN
ijassa-878	359	30	.	.	PUNCT
ijassa-878	360	1	applied	apply	VERB
ijassa-878	360	2	soft	soft	ADJ
ijassa-878	360	3	computing	computing	NOUN
ijassa-878	360	4	,	,	PUNCT
ijassa-878	360	5	3	3	NUM
ijassa-878	360	6	,	,	PUNCT
ijassa-878	360	7	97–122	97–122	NUM
ijassa-878	360	8	,	,	PUNCT
ijassa-878	360	9	https://dx.doi.org/10.1016/s1568-4946(03)00007-3	https://dx.doi.org/10.1016/s1568-4946(03)00007-3	PROPN
ijassa-878	360	10	.	.	PROPN
ijassa-878	361	1	19	19	NUM
ijassa-878	361	2	.	.	NUM
ijassa-878	361	3	floudas	floudas	PROPN
ijassa-878	361	4	,	,	PUNCT
ijassa-878	361	5	c.	c.	PROPN
ijassa-878	361	6	a.	a.	PROPN
ijassa-878	361	7	&	&	CCONJ
ijassa-878	361	8	gounaris	gounaris	PROPN
ijassa-878	361	9	,	,	PUNCT
ijassa-878	361	10	c.	c.	PROPN
ijassa-878	361	11	e.	e.	PROPN
ijassa-878	361	12	(	(	PUNCT
ijassa-878	361	13	2009	2009	NUM
ijassa-878	361	14	)	)	PUNCT
ijassa-878	361	15	a	a	DET
ijassa-878	361	16	review	review	NOUN
ijassa-878	361	17	of	of	ADP
ijassa-878	361	18	recent	recent	ADJ
ijassa-878	361	19	advances	advance	NOUN
ijassa-878	361	20	in	in	ADP
ijassa-878	361	21	global	global	ADJ
ijassa-878	361	22	optimization	optimization	NOUN
ijassa-878	361	23	.	.	PUNCT
ijassa-878	362	1	journal	journal	PROPN
ijassa-878	362	2	of	of	ADP
ijassa-878	362	3	global	global	ADJ
ijassa-878	362	4	optimization	optimization	NOUN
ijassa-878	362	5	,	,	PUNCT
ijassa-878	362	6	45	45	NUM
ijassa-878	362	7	,	,	PUNCT
ijassa-878	362	8	3–38	3–38	NUM
ijassa-878	362	9	,	,	PUNCT
ijassa-878	362	10	https://dx.doi.org/10.1007/s10898-008-9332-8	https://dx.doi.org/10.1007/s10898-008-9332-8	PRON
ijassa-878	362	11	.	.	PROPN
ijassa-878	362	12	20	20	NUM
ijassa-878	362	13	.	.	PUNCT
ijassa-878	363	1	khrustalev	khrustalev	PROPN
ijassa-878	363	2	,	,	PUNCT
ijassa-878	363	3	m.	m.	NOUN
ijassa-878	363	4	m.	m.	NOUN
ijassa-878	363	5	(	(	PUNCT
ijassa-878	363	6	1988	1988	NUM
ijassa-878	363	7	)	)	PUNCT
ijassa-878	363	8	an	an	DET
ijassa-878	363	9	accurate	accurate	ADJ
ijassa-878	363	10	description	description	NOUN
ijassa-878	363	11	of	of	ADP
ijassa-878	363	12	feasibility	feasibility	NOUN
ijassa-878	363	13	sets	set	NOUN
ijassa-878	363	14	and	and	CCONJ
ijassa-878	363	15	conditions	condition	NOUN
ijassa-878	363	16	for	for	ADP
ijassa-878	363	17	the	the	DET
ijassa-878	363	18	global	global	ADJ
ijassa-878	363	19	optimality	optimality	NOUN
ijassa-878	363	20	of	of	ADP
ijassa-878	363	21	dynamic	dynamic	ADJ
ijassa-878	363	22	systems	system	NOUN
ijassa-878	363	23	.	.	PUNCT
ijassa-878	364	1	ii	ii	PROPN
ijassa-878	364	2	.	.	PUNCT
ijassa-878	365	1	conditions	condition	NOUN
ijassa-878	365	2	for	for	ADP
ijassa-878	365	3	global	global	ADJ
ijassa-878	365	4	optimality	optimality	NOUN
ijassa-878	365	5	.	.	PUNCT
ijassa-878	366	1	automation	automation	NOUN
ijassa-878	366	2	and	and	CCONJ
ijassa-878	366	3	remote	remote	ADJ
ijassa-878	366	4	control	control	NOUN
ijassa-878	366	5	,	,	PUNCT
ijassa-878	366	6	49	49	NUM
ijassa-878	366	7	,	,	PUNCT
ijassa-878	366	8	874–881	874–881	NUM
ijassa-878	366	9	.	.	PUNCT
ijassa-878	367	1	21	21	NUM
ijassa-878	367	2	.	.	X
ijassa-878	367	3	tolstonogov	tolstonogov	NOUN
ijassa-878	367	4	,	,	PUNCT
ijassa-878	367	5	a.	a.	NOUN
ijassa-878	367	6	(	(	PUNCT
ijassa-878	367	7	2000	2000	NUM
ijassa-878	367	8	)	)	PUNCT
ijassa-878	367	9	differential	differential	ADJ
ijassa-878	367	10	inclusions	inclusion	NOUN
ijassa-878	367	11	in	in	ADP
ijassa-878	367	12	a	a	DET
ijassa-878	367	13	banach	banach	NOUN
ijassa-878	367	14	space	space	NOUN
ijassa-878	367	15	.	.	PUNCT
ijassa-878	368	1	netherlands	netherlands	PROPN
ijassa-878	368	2	:	:	PUNCT
ijassa-878	368	3	springer	springer	NOUN
ijassa-878	368	4	,	,	PUNCT
ijassa-878	368	5	https://dx.doi.org/10.1007/978-94-015-9490-5	https://dx.doi.org/10.1007/978-94-015-9490-5	PROPN
ijassa-878	368	6	.	.	PUNCT
ijassa-878	369	1	22	22	NUM
ijassa-878	369	2	.	.	X
ijassa-878	369	3	subbotin	subbotin	NOUN
ijassa-878	369	4	,	,	PUNCT
ijassa-878	369	5	a.	a.	PROPN
ijassa-878	369	6	i.	i.	PROPN
ijassa-878	369	7	&	&	CCONJ
ijassa-878	369	8	chentsov	chentsov	PROPN
ijassa-878	369	9	,	,	PUNCT
ijassa-878	369	10	a.	a.	NOUN
ijassa-878	369	11	g.	g.	PROPN
ijassa-878	369	12	(	(	PUNCT
ijassa-878	369	13	1981	1981	NUM
ijassa-878	369	14	)	)	PUNCT
ijassa-878	369	15	guarantee	guarantee	VERB
ijassa-878	369	16	optimization	optimization	NOUN
ijassa-878	369	17	in	in	ADP
ijassa-878	369	18	control	control	NOUN
ijassa-878	369	19	problems	problem	NOUN
ijassa-878	369	20	.	.	PUNCT
ijassa-878	370	1	moscow	moscow	PROPN
ijassa-878	370	2	:	:	PUNCT
ijassa-878	370	3	nauka	nauka	PROPN
ijassa-878	370	4	,	,	PUNCT
ijassa-878	370	5	(	(	PUNCT
ijassa-878	370	6	in	in	ADP
ijassa-878	370	7	russian	russian	NOUN
ijassa-878	370	8	)	)	PUNCT
ijassa-878	370	9	.	.	PUNCT
ijassa-878	371	1	copyright	copyright	NOUN
ijassa-878	371	2	©	©	PROPN
ijassa-878	371	3	2020	2020	NUM
ijassa-878	371	4	assa	assa	NOUN
ijassa-878	371	5	.	.	PUNCT
ijassa-878	372	1	adv	adv	PROPN
ijassa-878	372	2	syst	syst	PROPN
ijassa-878	372	3	sci	sci	PROPN
ijassa-878	372	4	appl	appl	PROPN
ijassa-878	372	5	(	(	PUNCT
ijassa-878	372	6	2020	2020	NUM
ijassa-878	372	7	)	)	PUNCT
ijassa-878	372	8	https://dx.doi.org/10.1016/j.cam.2003.03.001	https://dx.doi.org/10.1016/j.cam.2003.03.001	NOUN
ijassa-878	373	1	https://dx.doi.org/10.1016/j.cam.2008.04.016	https://dx.doi.org/10.1016/j.cam.2008.04.016	PROPN
ijassa-878	373	2	https://dx.doi.org/10.1137/040603425	https://dx.doi.org/10.1137/040603425	PROPN
ijassa-878	373	3	https://dx.doi.org/10.1016/j.cam.2010.01.028	https://dx.doi.org/10.1016/j.cam.2010.01.028	ADJ
ijassa-878	373	4	https://dx.doi.org/10.1007/s11075-010-9412-y	https://dx.doi.org/10.1007/s11075-010-9412-y	VERB
ijassa-878	373	5	https://dx.doi.org/10.1016/j.jmaa.2013.07.039	https://dx.doi.org/10.1016/j.jmaa.2013.07.039	NOUN
ijassa-878	373	6	https://dx.doi.org/10.1007/s00450-009-0083-7	https://dx.doi.org/10.1007/s00450-009-0083-7	PRON
ijassa-878	373	7	https://dx.doi.org/10.1007/978-0-387-74740-8	https://dx.doi.org/10.1007/978-0-387-74740-8	X
ijassa-878	373	8	https://dx.doi.org/10.1021/ie0601605	https://dx.doi.org/10.1021/ie0601605	SYM
ijassa-878	373	9	https://dx.doi.org/10.1016/s1568-4946(03)00007-3	https://dx.doi.org/10.1016/s1568-4946(03)00007-3	PROPN
ijassa-878	373	10	https://dx.doi.org/10.1007/s10898-008-9332-8	https://dx.doi.org/10.1007/s10898-008-9332-8	PRON
ijassa-878	374	1	https://dx.doi.org/10.1007/978-94-015-9490-5	https://dx.doi.org/10.1007/978-94-015-9490-5	PROPN
ijassa-878	374	2	70	70	NUM
ijassa-878	374	3	a.	a.	NOUN
ijassa-878	374	4	beklaryan	beklaryan	X
ijassa-878	374	5	23	23	NUM
ijassa-878	374	6	.	.	PUNCT
ijassa-878	375	1	zarodnyuk	zarodnyuk	NOUN
ijassa-878	375	2	,	,	PUNCT
ijassa-878	375	3	t.	t.	PROPN
ijassa-878	375	4	s.	s.	PROPN
ijassa-878	375	5	,	,	PUNCT
ijassa-878	375	6	anikin	anikin	PROPN
ijassa-878	375	7	,	,	PUNCT
ijassa-878	375	8	a.	a.	PROPN
ijassa-878	375	9	s.	s.	PROPN
ijassa-878	375	10	,	,	PUNCT
ijassa-878	375	11	finkelshtein	finkelshtein	PROPN
ijassa-878	375	12	,	,	PUNCT
ijassa-878	375	13	e.	e.	PROPN
ijassa-878	375	14	a.	a.	PROPN
ijassa-878	375	15	,	,	PUNCT
ijassa-878	375	16	beklaryan	beklaryan	PROPN
ijassa-878	375	17	,	,	PUNCT
ijassa-878	375	18	a.	a.	PROPN
ijassa-878	375	19	l.	l.	PROPN
ijassa-878	375	20	,	,	PUNCT
ijassa-878	375	21	&	&	CCONJ
ijassa-878	375	22	belousov	belousov	PROPN
ijassa-878	375	23	,	,	PUNCT
ijassa-878	375	24	f.	f.	PROPN
ijassa-878	375	25	a.	a.	PROPN
ijassa-878	375	26	(	(	PUNCT
ijassa-878	375	27	2016	2016	NUM
ijassa-878	375	28	)	)	PUNCT
ijassa-878	375	29	the	the	DET
ijassa-878	375	30	technology	technology	NOUN
ijassa-878	375	31	for	for	ADP
ijassa-878	375	32	solving	solve	VERB
ijassa-878	375	33	the	the	DET
ijassa-878	375	34	boundary	boundary	ADJ
ijassa-878	375	35	value	value	NOUN
ijassa-878	375	36	problems	problem	NOUN
ijassa-878	375	37	for	for	ADP
ijassa-878	375	38	nonlinear	nonlinear	ADJ
ijassa-878	375	39	systems	system	NOUN
ijassa-878	375	40	of	of	ADP
ijassa-878	375	41	functional	functional	ADJ
ijassa-878	375	42	differential	differential	ADJ
ijassa-878	375	43	equations	equation	NOUN
ijassa-878	375	44	of	of	ADP
ijassa-878	375	45	pointwise	pointwise	NOUN
ijassa-878	375	46	type	type	NOUN
ijassa-878	375	47	.	.	PUNCT
ijassa-878	376	1	modern	modern	ADJ
ijassa-878	376	2	technologies	technology	NOUN
ijassa-878	376	3	.	.	PUNCT
ijassa-878	377	1	system	system	NOUN
ijassa-878	377	2	analysis	analysis	NOUN
ijassa-878	377	3	.	.	PUNCT
ijassa-878	378	1	modeling	modeling	NOUN
ijassa-878	378	2	,	,	PUNCT
ijassa-878	378	3	49	49	NUM
ijassa-878	378	4	,	,	PUNCT
ijassa-878	378	5	19–26	19–26	NUM
ijassa-878	378	6	,	,	PUNCT
ijassa-878	378	7	(	(	PUNCT
ijassa-878	378	8	in	in	ADP
ijassa-878	378	9	russian	russian	NOUN
ijassa-878	378	10	)	)	PUNCT
ijassa-878	378	11	.	.	PUNCT
ijassa-878	379	1	24	24	NUM
ijassa-878	379	2	.	.	X
ijassa-878	380	1	beklaryan	beklaryan	PROPN
ijassa-878	380	2	,	,	PUNCT
ijassa-878	380	3	l.	l.	PROPN
ijassa-878	380	4	a.	a.	PROPN
ijassa-878	380	5	(	(	PUNCT
ijassa-878	380	6	2007	2007	NUM
ijassa-878	380	7	)	)	PUNCT
ijassa-878	380	8	introduction	introduction	NOUN
ijassa-878	380	9	to	to	ADP
ijassa-878	380	10	the	the	DET
ijassa-878	380	11	theory	theory	NOUN
ijassa-878	380	12	of	of	ADP
ijassa-878	380	13	functional	functional	ADJ
ijassa-878	380	14	differential	differential	ADJ
ijassa-878	380	15	equations	equation	NOUN
ijassa-878	380	16	.	.	PUNCT
ijassa-878	381	1	group	group	NOUN
ijassa-878	381	2	approach	approach	NOUN
ijassa-878	381	3	.	.	PUNCT
ijassa-878	382	1	moscow	moscow	PROPN
ijassa-878	382	2	:	:	PUNCT
ijassa-878	382	3	factorial	factorial	NOUN
ijassa-878	382	4	press	press	NOUN
ijassa-878	382	5	,	,	PUNCT
ijassa-878	382	6	(	(	PUNCT
ijassa-878	382	7	in	in	ADP
ijassa-878	382	8	russian	russian	NOUN
ijassa-878	382	9	)	)	PUNCT
ijassa-878	382	10	.	.	PUNCT
ijassa-878	383	1	25	25	NUM
ijassa-878	383	2	.	.	X
ijassa-878	384	1	beklaryan	beklaryan	PROPN
ijassa-878	384	2	,	,	PUNCT
ijassa-878	384	3	l.	l.	PROPN
ijassa-878	384	4	a.	a.	PROPN
ijassa-878	384	5	(	(	PUNCT
ijassa-878	384	6	1991	1991	NUM
ijassa-878	384	7	)	)	PUNCT
ijassa-878	384	8	a	a	DET
ijassa-878	384	9	method	method	NOUN
ijassa-878	384	10	for	for	ADP
ijassa-878	384	11	the	the	DET
ijassa-878	384	12	regularization	regularization	NOUN
ijassa-878	384	13	of	of	ADP
ijassa-878	384	14	boundary	boundary	ADJ
ijassa-878	384	15	value	value	NOUN
ijassa-878	384	16	problems	problem	NOUN
ijassa-878	384	17	for	for	ADP
ijassa-878	384	18	differential	differential	ADJ
ijassa-878	384	19	equations	equation	NOUN
ijassa-878	384	20	with	with	ADP
ijassa-878	384	21	deviating	deviate	VERB
ijassa-878	384	22	argument	argument	NOUN
ijassa-878	384	23	.	.	PUNCT
ijassa-878	385	1	soviet	soviet	ADJ
ijassa-878	385	2	math	math	PROPN
ijassa-878	385	3	.	.	PUNCT
ijassa-878	386	1	dokl	dokl	NOUN
ijassa-878	386	2	.	.	PUNCT
ijassa-878	386	3	,	,	PUNCT
ijassa-878	386	4	43	43	NUM
ijassa-878	386	5	,	,	PUNCT
ijassa-878	386	6	567–571	567–571	NUM
ijassa-878	386	7	.	.	PROPN
ijassa-878	386	8	26	26	NUM
ijassa-878	386	9	.	.	PUNCT
ijassa-878	387	1	zarodnyuk	zarodnyuk	NOUN
ijassa-878	387	2	,	,	PUNCT
ijassa-878	387	3	t.	t.	PROPN
ijassa-878	387	4	s.	s.	PROPN
ijassa-878	387	5	,	,	PUNCT
ijassa-878	387	6	gornov	gornov	NOUN
ijassa-878	387	7	,	,	PUNCT
ijassa-878	387	8	a.	a.	NOUN
ijassa-878	387	9	y.	y.	PROPN
ijassa-878	387	10	,	,	PUNCT
ijassa-878	387	11	anikin	anikin	PROPN
ijassa-878	387	12	,	,	PUNCT
ijassa-878	387	13	a.	a.	PROPN
ijassa-878	387	14	s.	s.	PROPN
ijassa-878	387	15	,	,	PUNCT
ijassa-878	387	16	&	&	CCONJ
ijassa-878	387	17	finkelstein	finkelstein	PROPN
ijassa-878	387	18	,	,	PUNCT
ijassa-878	387	19	e.	e.	PROPN
ijassa-878	387	20	a.	a.	PROPN
ijassa-878	387	21	(	(	PUNCT
ijassa-878	387	22	2017	2017	NUM
ijassa-878	387	23	)	)	PUNCT
ijassa-878	387	24	computational	computational	ADJ
ijassa-878	387	25	technique	technique	NOUN
ijassa-878	387	26	for	for	ADP
ijassa-878	387	27	investigating	investigate	VERB
ijassa-878	387	28	boundary	boundary	ADJ
ijassa-878	387	29	value	value	NOUN
ijassa-878	387	30	problems	problem	NOUN
ijassa-878	387	31	for	for	ADP
ijassa-878	387	32	functionaldifferential	functionaldifferential	ADJ
ijassa-878	387	33	equations	equation	NOUN
ijassa-878	387	34	of	of	ADP
ijassa-878	387	35	pointwise	pointwise	ADJ
ijassa-878	387	36	type	type	NOUN
ijassa-878	387	37	.	.	PUNCT
ijassa-878	388	1	in	in	ADP
ijassa-878	388	2	proc	proc	PROPN
ijassa-878	388	3	.	.	PUNCT
ijassa-878	389	1	of	of	ADP
ijassa-878	389	2	the	the	DET
ijassa-878	389	3	viii	viii	ADJ
ijassa-878	389	4	international	international	ADJ
ijassa-878	389	5	conference	conference	NOUN
ijassa-878	389	6	on	on	ADP
ijassa-878	389	7	optimization	optimization	NOUN
ijassa-878	389	8	and	and	CCONJ
ijassa-878	389	9	applications	application	NOUN
ijassa-878	389	10	(	(	PUNCT
ijassa-878	389	11	optima-2017	optima-2017	ADJ
ijassa-878	389	12	)	)	PUNCT
ijassa-878	389	13	,	,	PUNCT
ijassa-878	389	14	petrovac	petrovac	NOUN
ijassa-878	389	15	,	,	PUNCT
ijassa-878	389	16	montenegro	montenegro	PROPN
ijassa-878	389	17	,	,	PUNCT
ijassa-878	389	18	october	october	PROPN
ijassa-878	389	19	27	27	NUM
ijassa-878	389	20	,	,	PUNCT
ijassa-878	389	21	ceur-ws.org	ceur-ws.org	PROPN
ijassa-878	389	22	.	.	PUNCT
ijassa-878	389	23	27	27	NUM
ijassa-878	389	24	.	.	PUNCT
ijassa-878	390	1	gornov	gornov	NOUN
ijassa-878	390	2	,	,	PUNCT
ijassa-878	390	3	a.	a.	NOUN
ijassa-878	390	4	y.	y.	PROPN
ijassa-878	390	5	,	,	PUNCT
ijassa-878	390	6	zarodnyuk	zarodnyuk	NOUN
ijassa-878	390	7	,	,	PUNCT
ijassa-878	390	8	t.	t.	PROPN
ijassa-878	390	9	s.	s.	PROPN
ijassa-878	390	10	,	,	PUNCT
ijassa-878	390	11	madzhara	madzhara	NOUN
ijassa-878	390	12	,	,	PUNCT
ijassa-878	390	13	t.	t.	PROPN
ijassa-878	390	14	i.	i.	PROPN
ijassa-878	390	15	,	,	PUNCT
ijassa-878	390	16	daneeva	daneeva	PROPN
ijassa-878	390	17	,	,	PUNCT
ijassa-878	390	18	a.	a.	PROPN
ijassa-878	390	19	v.	v.	PROPN
ijassa-878	390	20	,	,	PUNCT
ijassa-878	390	21	&	&	CCONJ
ijassa-878	390	22	veyalko	veyalko	PROPN
ijassa-878	390	23	,	,	PUNCT
ijassa-878	390	24	i.	i.	PROPN
ijassa-878	390	25	a.	a.	PROPN
ijassa-878	390	26	(	(	PUNCT
ijassa-878	390	27	2013	2013	NUM
ijassa-878	390	28	)	)	PUNCT
ijassa-878	390	29	a	a	DET
ijassa-878	390	30	collection	collection	NOUN
ijassa-878	390	31	of	of	ADP
ijassa-878	390	32	test	test	NOUN
ijassa-878	390	33	multiextremal	multiextremal	PROPN
ijassa-878	390	34	optimal	optimal	ADJ
ijassa-878	390	35	control	control	NOUN
ijassa-878	390	36	problems	problem	NOUN
ijassa-878	390	37	,	,	PUNCT
ijassa-878	390	38	257–274	257–274	NUM
ijassa-878	390	39	.	.	PUNCT
ijassa-878	391	1	springer	springer	NOUN
ijassa-878	391	2	.	.	PUNCT
ijassa-878	392	1	28	28	NUM
ijassa-878	392	2	.	.	PUNCT
ijassa-878	393	1	gornov	gornov	NOUN
ijassa-878	393	2	,	,	PUNCT
ijassa-878	393	3	a.	a.	NOUN
ijassa-878	393	4	y.	y.	PROPN
ijassa-878	393	5	,	,	PUNCT
ijassa-878	393	6	zarodnyuk	zarodnyuk	NOUN
ijassa-878	393	7	,	,	PUNCT
ijassa-878	393	8	t.	t.	PROPN
ijassa-878	393	9	s.	s.	PROPN
ijassa-878	393	10	,	,	PUNCT
ijassa-878	393	11	finkelstein	finkelstein	PROPN
ijassa-878	393	12	,	,	PUNCT
ijassa-878	393	13	e.	e.	PROPN
ijassa-878	393	14	a.	a.	PROPN
ijassa-878	393	15	,	,	PUNCT
ijassa-878	393	16	&	&	CCONJ
ijassa-878	393	17	anikin	anikin	PROPN
ijassa-878	393	18	,	,	PUNCT
ijassa-878	393	19	a.	a.	PROPN
ijassa-878	393	20	s.	s.	PROPN
ijassa-878	393	21	(	(	PUNCT
ijassa-878	393	22	2016	2016	NUM
ijassa-878	393	23	)	)	PUNCT
ijassa-878	393	24	the	the	DET
ijassa-878	393	25	method	method	NOUN
ijassa-878	393	26	of	of	ADP
ijassa-878	393	27	uniform	uniform	ADJ
ijassa-878	393	28	monotonous	monotonous	ADJ
ijassa-878	393	29	approximation	approximation	NOUN
ijassa-878	393	30	of	of	ADP
ijassa-878	393	31	the	the	DET
ijassa-878	393	32	reachable	reachable	ADJ
ijassa-878	393	33	set	set	VERB
ijassa-878	393	34	border	border	NOUN
ijassa-878	393	35	for	for	ADP
ijassa-878	393	36	a	a	DET
ijassa-878	393	37	controllable	controllable	ADJ
ijassa-878	393	38	system	system	NOUN
ijassa-878	393	39	.	.	PUNCT
ijassa-878	394	1	journal	journal	PROPN
ijassa-878	394	2	of	of	ADP
ijassa-878	394	3	global	global	ADJ
ijassa-878	394	4	optimization	optimization	NOUN
ijassa-878	394	5	,	,	PUNCT
ijassa-878	394	6	66	66	NUM
ijassa-878	394	7	,	,	PUNCT
ijassa-878	394	8	53–64	53–64	NUM
ijassa-878	394	9	,	,	PUNCT
ijassa-878	394	10	https://dx.doi.org/10.1007/s10898-015-0346-8	https://dx.doi.org/10.1007/s10898-015-0346-8	PROPN
ijassa-878	394	11	.	.	PROPN
ijassa-878	395	1	29	29	NUM
ijassa-878	395	2	.	.	PUNCT
ijassa-878	396	1	gornov	gornov	NOUN
ijassa-878	396	2	,	,	PUNCT
ijassa-878	396	3	a.	a.	PROPN
ijassa-878	396	4	y.	y.	PROPN
ijassa-878	396	5	&	&	CCONJ
ijassa-878	396	6	finkelstein	finkelstein	PROPN
ijassa-878	396	7	,	,	PUNCT
ijassa-878	396	8	e.	e.	PROPN
ijassa-878	396	9	a.	a.	PROPN
ijassa-878	396	10	(	(	PUNCT
ijassa-878	396	11	2015	2015	NUM
ijassa-878	396	12	)	)	PUNCT
ijassa-878	396	13	algorithm	algorithm	NOUN
ijassa-878	396	14	for	for	ADP
ijassa-878	396	15	piecewise	piecewise	NOUN
ijassa-878	396	16	-	-	PUNCT
ijassa-878	396	17	linear	linear	NOUN
ijassa-878	396	18	approximation	approximation	NOUN
ijassa-878	396	19	of	of	ADP
ijassa-878	396	20	the	the	DET
ijassa-878	396	21	reachable	reachable	ADJ
ijassa-878	396	22	set	set	VERB
ijassa-878	396	23	boundary	boundary	NOUN
ijassa-878	396	24	.	.	PUNCT
ijassa-878	397	1	automation	automation	NOUN
ijassa-878	397	2	and	and	CCONJ
ijassa-878	397	3	remote	remote	ADJ
ijassa-878	397	4	control	control	NOUN
ijassa-878	397	5	,	,	PUNCT
ijassa-878	397	6	76	76	NUM
ijassa-878	397	7	,	,	PUNCT
ijassa-878	397	8	385–393	385–393	NUM
ijassa-878	397	9	,	,	PUNCT
ijassa-878	397	10	https://dx.doi.org/10.1134/s0005117915030030	https://dx.doi.org/10.1134/s0005117915030030	X
ijassa-878	397	11	.	.	PROPN
ijassa-878	397	12	30	30	NUM
ijassa-878	397	13	.	.	PUNCT
ijassa-878	398	1	floudas	floudas	PROPN
ijassa-878	398	2	,	,	PUNCT
ijassa-878	398	3	c.	c.	PROPN
ijassa-878	398	4	a.	a.	PROPN
ijassa-878	398	5	&	&	CCONJ
ijassa-878	398	6	pardalos	pardalos	PROPN
ijassa-878	398	7	,	,	PUNCT
ijassa-878	398	8	p.	p.	NOUN
ijassa-878	398	9	m.	m.	NOUN
ijassa-878	398	10	(	(	PUNCT
ijassa-878	398	11	1990	1990	NUM
ijassa-878	398	12	)	)	PUNCT
ijassa-878	398	13	a	a	DET
ijassa-878	398	14	collection	collection	NOUN
ijassa-878	398	15	of	of	ADP
ijassa-878	398	16	test	test	NOUN
ijassa-878	398	17	problems	problem	NOUN
ijassa-878	398	18	for	for	ADP
ijassa-878	398	19	constrained	constrain	VERB
ijassa-878	398	20	global	global	ADJ
ijassa-878	398	21	optimization	optimization	NOUN
ijassa-878	398	22	algorithms	algorithm	NOUN
ijassa-878	398	23	.	.	PUNCT
ijassa-878	399	1	berlin	berlin	PROPN
ijassa-878	399	2	,	,	PUNCT
ijassa-878	399	3	heidelberg	heidelberg	PROPN
ijassa-878	399	4	:	:	PUNCT
ijassa-878	399	5	springer	springer	NOUN
ijassa-878	399	6	-	-	PUNCT
ijassa-878	399	7	verlag	verlag	PROPN
ijassa-878	399	8	,	,	PUNCT
ijassa-878	399	9	https://dx.doi.org/10.1007/3-540-53032-0	https://dx.doi.org/10.1007/3-540-53032-0	PROPN
ijassa-878	399	10	.	.	PUNCT
ijassa-878	400	1	31	31	NUM
ijassa-878	400	2	.	.	X
ijassa-878	401	1	beklaryan	beklaryan	PROPN
ijassa-878	401	2	,	,	PUNCT
ijassa-878	401	3	l.	l.	PROPN
ijassa-878	401	4	a.	a.	PROPN
ijassa-878	401	5	&	&	CCONJ
ijassa-878	401	6	beklaryan	beklaryan	PROPN
ijassa-878	401	7	,	,	PUNCT
ijassa-878	401	8	a.	a.	PROPN
ijassa-878	401	9	l.	l.	PROPN
ijassa-878	401	10	(	(	PUNCT
ijassa-878	401	11	2017	2017	NUM
ijassa-878	401	12	)	)	PUNCT
ijassa-878	401	13	traveling	travel	VERB
ijassa-878	401	14	waves	wave	NOUN
ijassa-878	401	15	and	and	CCONJ
ijassa-878	401	16	functional	functional	ADJ
ijassa-878	401	17	differential	differential	ADJ
ijassa-878	401	18	equations	equation	NOUN
ijassa-878	401	19	of	of	ADP
ijassa-878	401	20	pointwise	pointwise	ADJ
ijassa-878	401	21	type	type	NOUN
ijassa-878	401	22	.	.	PUNCT
ijassa-878	402	1	what	what	PRON
ijassa-878	402	2	is	be	AUX
ijassa-878	402	3	common	common	ADJ
ijassa-878	402	4	?	?	PUNCT
ijassa-878	403	1	in	in	ADP
ijassa-878	403	2	proc	proc	PROPN
ijassa-878	403	3	.	.	PUNCT
ijassa-878	404	1	of	of	ADP
ijassa-878	404	2	the	the	DET
ijassa-878	404	3	viii	viii	ADJ
ijassa-878	404	4	international	international	ADJ
ijassa-878	404	5	conference	conference	NOUN
ijassa-878	404	6	on	on	ADP
ijassa-878	404	7	optimization	optimization	NOUN
ijassa-878	404	8	and	and	CCONJ
ijassa-878	404	9	applications	application	NOUN
ijassa-878	404	10	(	(	PUNCT
ijassa-878	404	11	optima-2017	optima-2017	ADJ
ijassa-878	404	12	)	)	PUNCT
ijassa-878	404	13	,	,	PUNCT
ijassa-878	404	14	petrovac	petrovac	NOUN
ijassa-878	404	15	,	,	PUNCT
ijassa-878	404	16	montenegro	montenegro	PROPN
ijassa-878	404	17	,	,	PUNCT
ijassa-878	404	18	october	october	PROPN
ijassa-878	404	19	2	2	NUM
ijassa-878	404	20	-	-	SYM
ijassa-878	404	21	7	7	NUM
ijassa-878	404	22	,	,	PUNCT
ijassa-878	404	23	ceur-ws.org	ceur-ws.org	PROPN
ijassa-878	404	24	.	.	PUNCT
ijassa-878	405	1	copyright	copyright	NOUN
ijassa-878	405	2	©	©	PROPN
ijassa-878	405	3	2020	2020	NUM
ijassa-878	405	4	assa	assa	NOUN
ijassa-878	405	5	.	.	PUNCT
ijassa-878	406	1	adv	adv	PROPN
ijassa-878	406	2	syst	syst	PROPN
ijassa-878	406	3	sci	sci	PROPN
ijassa-878	406	4	appl	appl	PROPN
ijassa-878	406	5	(	(	PUNCT
ijassa-878	406	6	2020	2020	NUM
ijassa-878	406	7	)	)	PUNCT
ijassa-878	406	8	https://dx.doi.org/10.1007/s10898-015-0346-8	https://dx.doi.org/10.1007/s10898-015-0346-8	PROPN
ijassa-878	406	9	https://dx.doi.org/10.1134/s0005117915030030	https://dx.doi.org/10.1134/s0005117915030030	PROPN
ijassa-878	406	10	https://dx.doi.org/10.1007/3-540-53032-0	https://dx.doi.org/10.1007/3-540-53032-0	ADJ
ijassa-878	406	11	introduction	introduction	NOUN
ijassa-878	406	12	statement	statement	NOUN
ijassa-878	406	13	of	of	ADP
ijassa-878	406	14	the	the	DET
ijassa-878	406	15	initial	initial	ADJ
ijassa-878	406	16	boundary	boundary	ADJ
ijassa-878	406	17	-	-	PUNCT
ijassa-878	406	18	value	value	NOUN
ijassa-878	406	19	problem	problem	NOUN
ijassa-878	406	20	existence	existence	NOUN
ijassa-878	406	21	and	and	CCONJ
ijassa-878	406	22	uniqueness	uniqueness	NOUN
ijassa-878	406	23	theorem	theorem	VERB
ijassa-878	406	24	for	for	ADP
ijassa-878	406	25	the	the	DET
ijassa-878	406	26	basic	basic	ADJ
ijassa-878	406	27	initial	initial	ADJ
ijassa-878	406	28	-	-	PUNCT
ijassa-878	406	29	boundary	boundary	NOUN
ijassa-878	406	30	value	value	NOUN
ijassa-878	406	31	problem	problem	NOUN
ijassa-878	406	32	variational	variational	ADJ
ijassa-878	406	33	approach	approach	NOUN
ijassa-878	406	34	to	to	ADP
ijassa-878	406	35	constructing	construct	VERB
ijassa-878	406	36	solutions	solution	NOUN
ijassa-878	406	37	to	to	ADP
ijassa-878	406	38	the	the	DET
ijassa-878	406	39	basic	basic	ADJ
ijassa-878	406	40	initial	initial	ADJ
ijassa-878	406	41	-	-	PUNCT
ijassa-878	406	42	boundary	boundary	NOUN
ijassa-878	406	43	value	value	NOUN
ijassa-878	406	44	problem	problem	NOUN
ijassa-878	406	45	software	software	NOUN
ijassa-878	406	46	package	package	NOUN
ijassa-878	406	47	optcon	optcon	NOUN
ijassa-878	406	48	-	-	PUNCT
ijassa-878	406	49	f	f	NOUN
ijassa-878	406	50	existence	existence	NOUN
ijassa-878	406	51	and	and	CCONJ
ijassa-878	406	52	uniqueness	uniqueness	NOUN
ijassa-878	406	53	theorem	theorem	VERB
ijassa-878	406	54	for	for	ADP
ijassa-878	406	55	soliton	soliton	NOUN
ijassa-878	406	56	solutions	solution	NOUN
ijassa-878	406	57	in	in	ADP
ijassa-878	406	58	the	the	DET
ijassa-878	406	59	problem	problem	NOUN
ijassa-878	406	60	of	of	ADP
ijassa-878	406	61	longitudinal	longitudinal	ADJ
ijassa-878	406	62	vibrations	vibration	NOUN
ijassa-878	406	63	of	of	ADP
ijassa-878	406	64	an	an	DET
ijassa-878	406	65	infinite	infinite	ADJ
ijassa-878	406	66	homogeneous	homogeneous	ADJ
ijassa-878	406	67	rod	rod	NOUN
ijassa-878	406	68	approximation	approximation	NOUN
ijassa-878	406	69	of	of	ADP
ijassa-878	406	70	the	the	DET
ijassa-878	406	71	solution	solution	NOUN
ijassa-878	406	72	of	of	ADP
ijassa-878	406	73	a	a	DET
ijassa-878	406	74	functional	functional	ADJ
ijassa-878	406	75	differential	differential	NOUN
ijassa-878	406	76	equation	equation	NOUN
ijassa-878	406	77	defined	define	VERB
ijassa-878	406	78	on	on	ADP
ijassa-878	406	79	the	the	DET
ijassa-878	406	80	line	line	NOUN
ijassa-878	406	81	by	by	ADP
ijassa-878	406	82	solutions	solution	NOUN
ijassa-878	406	83	of	of	ADP
ijassa-878	406	84	an	an	DET
ijassa-878	406	85	initial	initial	ADJ
ijassa-878	406	86	-	-	PUNCT
ijassa-878	406	87	boundary	boundary	NOUN
ijassa-878	406	88	value	value	NOUN
ijassa-878	406	89	problem	problem	NOUN
ijassa-878	406	90	with	with	ADP
ijassa-878	406	91	expanding	expand	VERB
ijassa-878	406	92	intervals	interval	NOUN
ijassa-878	406	93	of	of	ADP
ijassa-878	406	94	the	the	DET
ijassa-878	406	95	definition	definition	NOUN
ijassa-878	406	96	construction	construction	NOUN
ijassa-878	406	97	of	of	ADP
ijassa-878	406	98	the	the	DET
ijassa-878	406	99	complete	complete	ADJ
ijassa-878	406	100	family	family	NOUN
ijassa-878	406	101	of	of	ADP
ijassa-878	406	102	traveling	travel	VERB
ijassa-878	406	103	wave	wave	NOUN
ijassa-878	406	104	type	type	NOUN
ijassa-878	406	105	solutions	solution	NOUN
ijassa-878	406	106	in	in	ADP
ijassa-878	406	107	the	the	DET
ijassa-878	406	108	frenkel	frenkel	NOUN
ijassa-878	406	109	-	-	PUNCT
ijassa-878	406	110	kontorova	kontorova	NOUN
ijassa-878	406	111	model	model	NOUN
ijassa-878	406	112	numerical	numerical	ADJ
ijassa-878	406	113	experiments	experiment	NOUN
ijassa-878	406	114	conclusion	conclusion	VERB