id	sid	tid	token	lemma	pos
ejpam-6090	1	1	european	european	PROPN
ejpam-6090	1	2	journal	journal	PROPN
ejpam-6090	1	3	of	of	ADP
ejpam-6090	1	4	pure	pure	ADJ
ejpam-6090	1	5	and	and	CCONJ
ejpam-6090	1	6	applied	applied	ADJ
ejpam-6090	1	7	mathematics	mathematic	NOUN
ejpam-6090	1	8	2025	2025	NUM
ejpam-6090	1	9	,	,	PUNCT
ejpam-6090	1	10	vol	vol	NOUN
ejpam-6090	1	11	.	.	PROPN
ejpam-6090	1	12	18	18	NUM
ejpam-6090	1	13	,	,	PUNCT
ejpam-6090	1	14	issue	issue	NOUN
ejpam-6090	1	15	2	2	NUM
ejpam-6090	1	16	,	,	PUNCT
ejpam-6090	1	17	article	article	NOUN
ejpam-6090	1	18	number	number	NOUN
ejpam-6090	1	19	6090	6090	NUM
ejpam-6090	1	20	issn	issn	PROPN
ejpam-6090	1	21	1307	1307	NUM
ejpam-6090	1	22	-	-	SYM
ejpam-6090	1	23	5543	5543	NUM
ejpam-6090	1	24	–	–	PUNCT
ejpam-6090	1	25	ejpam.com	ejpam.com	X
ejpam-6090	1	26	published	publish	VERB
ejpam-6090	1	27	by	by	ADP
ejpam-6090	1	28	new	new	PROPN
ejpam-6090	1	29	york	york	PROPN
ejpam-6090	1	30	business	business	PROPN
ejpam-6090	1	31	global	global	ADJ
ejpam-6090	1	32	exponential	exponential	ADJ
ejpam-6090	1	33	stability	stability	NOUN
ejpam-6090	1	34	of	of	ADP
ejpam-6090	1	35	volterra	volterra	PROPN
ejpam-6090	1	36	integro	integro	PROPN
ejpam-6090	1	37	-	-	PUNCT
ejpam-6090	1	38	dynamic	dynamic	ADJ
ejpam-6090	1	39	sylvester	sylvester	NOUN
ejpam-6090	1	40	matrix	matrix	NOUN
ejpam-6090	1	41	system	system	NOUN
ejpam-6090	1	42	on	on	ADP
ejpam-6090	1	43	time	time	NOUN
ejpam-6090	1	44	scales	scale	VERB
ejpam-6090	1	45	chintamaneni	chintamaneni	ADJ
ejpam-6090	1	46	harisha1,2	harisha1,2	PROPN
ejpam-6090	1	47	,	,	PUNCT
ejpam-6090	1	48	bhogapurapu	bhogapurapu	PROPN
ejpam-6090	1	49	venkata	venkata	PROPN
ejpam-6090	1	50	appa	appa	PROPN
ejpam-6090	1	51	rao1	rao1	PROPN
ejpam-6090	1	52	,	,	PUNCT
ejpam-6090	1	53	ayyalappagari	ayyalappagari	ADJ
ejpam-6090	1	54	sreenivasulu1,∗	sreenivasulu1,∗	NOUN
ejpam-6090	1	55	1	1	NUM
ejpam-6090	1	56	department	department	NOUN
ejpam-6090	1	57	of	of	ADP
ejpam-6090	1	58	engineering	engineering	NOUN
ejpam-6090	1	59	mathematics	mathematic	NOUN
ejpam-6090	1	60	,	,	PUNCT
ejpam-6090	1	61	koneru	koneru	PROPN
ejpam-6090	1	62	lakshmaiah	lakshmaiah	PROPN
ejpam-6090	1	63	education	education	PROPN
ejpam-6090	1	64	foundation	foundation	PROPN
ejpam-6090	1	65	,	,	PUNCT
ejpam-6090	1	66	vaddeswaram	vaddeswaram	PROPN
ejpam-6090	1	67	,	,	PUNCT
ejpam-6090	1	68	guntur	guntur	PROPN
ejpam-6090	1	69	,	,	PUNCT
ejpam-6090	1	70	522302	522302	NUM
ejpam-6090	1	71	,	,	PUNCT
ejpam-6090	1	72	andhra	andhra	PROPN
ejpam-6090	1	73	pradesh	pradesh	PROPN
ejpam-6090	1	74	,	,	PUNCT
ejpam-6090	1	75	india	india	PROPN
ejpam-6090	1	76	2department	2department	PROPN
ejpam-6090	1	77	of	of	ADP
ejpam-6090	1	78	mathematics	mathematic	NOUN
ejpam-6090	1	79	,	,	PUNCT
ejpam-6090	1	80	malla	malla	PROPN
ejpam-6090	1	81	reddy	reddy	PROPN
ejpam-6090	1	82	institute	institute	PROPN
ejpam-6090	1	83	of	of	ADP
ejpam-6090	1	84	technology	technology	PROPN
ejpam-6090	1	85	and	and	CCONJ
ejpam-6090	1	86	science	science	NOUN
ejpam-6090	1	87	,	,	PUNCT
ejpam-6090	1	88	dhulapally	dhulapally	ADV
ejpam-6090	1	89	,	,	PUNCT
ejpam-6090	1	90	secunderabad-500100	secunderabad-500100	PROPN
ejpam-6090	1	91	,	,	PUNCT
ejpam-6090	1	92	telangana	telangana	PROPN
ejpam-6090	1	93	,	,	PUNCT
ejpam-6090	1	94	india	india	PROPN
ejpam-6090	1	95	.	.	PUNCT
ejpam-6090	2	1	abstract	abstract	PROPN
ejpam-6090	2	2	.	.	PUNCT
ejpam-6090	3	1	this	this	DET
ejpam-6090	3	2	article	article	NOUN
ejpam-6090	3	3	investigates	investigate	VERB
ejpam-6090	3	4	the	the	DET
ejpam-6090	3	5	exponential	exponential	ADJ
ejpam-6090	3	6	stability	stability	NOUN
ejpam-6090	3	7	of	of	ADP
ejpam-6090	3	8	the	the	DET
ejpam-6090	3	9	volterra	volterra	NOUN
ejpam-6090	3	10	integro	integro	PROPN
ejpam-6090	3	11	-	-	PUNCT
ejpam-6090	3	12	dynamic	dynamic	ADJ
ejpam-6090	3	13	(	(	PUNCT
ejpam-6090	3	14	vid	vid	NOUN
ejpam-6090	3	15	)	)	PUNCT
ejpam-6090	3	16	sylvester	sylvester	NOUN
ejpam-6090	3	17	matrix	matrix	NOUN
ejpam-6090	3	18	system	system	NOUN
ejpam-6090	3	19	on	on	ADP
ejpam-6090	3	20	time	time	NOUN
ejpam-6090	3	21	scales	scale	NOUN
ejpam-6090	3	22	.	.	PUNCT
ejpam-6090	4	1	the	the	DET
ejpam-6090	4	2	analysis	analysis	NOUN
ejpam-6090	4	3	begins	begin	VERB
ejpam-6090	4	4	by	by	ADP
ejpam-6090	4	5	transforming	transform	VERB
ejpam-6090	4	6	the	the	DET
ejpam-6090	4	7	exponential	exponential	ADJ
ejpam-6090	4	8	stability	stability	NOUN
ejpam-6090	4	9	vid	vid	NOUN
ejpam-6090	4	10	sylvester	sylvester	NOUN
ejpam-6090	4	11	matrix	matrix	NOUN
ejpam-6090	4	12	system	system	NOUN
ejpam-6090	4	13	into	into	ADP
ejpam-6090	4	14	an	an	DET
ejpam-6090	4	15	equivalent	equivalent	ADJ
ejpam-6090	4	16	kronecker	kronecker	NOUN
ejpam-6090	4	17	product	product	NOUN
ejpam-6090	4	18	vid	vid	NOUN
ejpam-6090	4	19	system	system	NOUN
ejpam-6090	4	20	using	use	VERB
ejpam-6090	4	21	the	the	DET
ejpam-6090	4	22	vectorization	vectorization	NOUN
ejpam-6090	4	23	operator	operator	NOUN
ejpam-6090	4	24	.	.	PUNCT
ejpam-6090	5	1	subsequently	subsequently	ADV
ejpam-6090	5	2	,	,	PUNCT
ejpam-6090	5	3	the	the	DET
ejpam-6090	5	4	boundedness	boundedness	NOUN
ejpam-6090	5	5	properties	property	NOUN
ejpam-6090	5	6	of	of	ADP
ejpam-6090	5	7	the	the	DET
ejpam-6090	5	8	solutions	solution	NOUN
ejpam-6090	5	9	are	be	AUX
ejpam-6090	5	10	rigorously	rigorously	ADV
ejpam-6090	5	11	established	establish	VERB
ejpam-6090	5	12	.	.	PUNCT
ejpam-6090	6	1	moreover	moreover	ADV
ejpam-6090	6	2	,	,	PUNCT
ejpam-6090	6	3	the	the	DET
ejpam-6090	6	4	theoretical	theoretical	ADJ
ejpam-6090	6	5	results	result	NOUN
ejpam-6090	6	6	formulated	formulate	VERB
ejpam-6090	6	7	on	on	ADP
ejpam-6090	6	8	an	an	DET
ejpam-6090	6	9	arbitrary	arbitrary	ADJ
ejpam-6090	6	10	time	time	NOUN
ejpam-6090	6	11	scale	scale	NOUN
ejpam-6090	6	12	unify	unify	VERB
ejpam-6090	6	13	and	and	CCONJ
ejpam-6090	6	14	extend	extend	VERB
ejpam-6090	6	15	the	the	DET
ejpam-6090	6	16	stability	stability	NOUN
ejpam-6090	6	17	conditions	condition	NOUN
ejpam-6090	6	18	for	for	ADP
ejpam-6090	6	19	both	both	CCONJ
ejpam-6090	6	20	integral	integral	ADJ
ejpam-6090	6	21	and	and	CCONJ
ejpam-6090	6	22	discrete	discrete	ADJ
ejpam-6090	6	23	volterra	volterra	NOUN
ejpam-6090	6	24	equations	equation	NOUN
ejpam-6090	6	25	.	.	PUNCT
ejpam-6090	7	1	finally	finally	ADV
ejpam-6090	7	2	,	,	PUNCT
ejpam-6090	7	3	the	the	DET
ejpam-6090	7	4	efficacy	efficacy	NOUN
ejpam-6090	7	5	and	and	CCONJ
ejpam-6090	7	6	validity	validity	NOUN
ejpam-6090	7	7	of	of	ADP
ejpam-6090	7	8	these	these	DET
ejpam-6090	7	9	findings	finding	NOUN
ejpam-6090	7	10	are	be	AUX
ejpam-6090	7	11	substantiated	substantiate	VERB
ejpam-6090	7	12	through	through	ADP
ejpam-6090	7	13	diverse	diverse	ADJ
ejpam-6090	7	14	time	time	NOUN
ejpam-6090	7	15	scale	scale	NOUN
ejpam-6090	7	16	scenarios	scenario	NOUN
ejpam-6090	7	17	,	,	PUNCT
ejpam-6090	7	18	accompanied	accompany	VERB
ejpam-6090	7	19	by	by	ADP
ejpam-6090	7	20	a	a	DET
ejpam-6090	7	21	graphical	graphical	ADJ
ejpam-6090	7	22	comparative	comparative	ADJ
ejpam-6090	7	23	analysis	analysis	NOUN
ejpam-6090	7	24	.	.	PUNCT
ejpam-6090	8	1	2020	2020	NUM
ejpam-6090	8	2	mathematics	mathematic	NOUN
ejpam-6090	8	3	subject	subject	NOUN
ejpam-6090	8	4	classifications	classification	NOUN
ejpam-6090	8	5	:	:	PUNCT
ejpam-6090	8	6	93d23	93d23	NUM
ejpam-6090	8	7	,	,	PUNCT
ejpam-6090	8	8	45d05	45d05	NUM
ejpam-6090	8	9	,	,	PUNCT
ejpam-6090	8	10	15a69	15a69	NUM
ejpam-6090	8	11	,	,	PUNCT
ejpam-6090	8	12	34n05	34n05	NUM
ejpam-6090	8	13	key	key	ADJ
ejpam-6090	8	14	words	word	NOUN
ejpam-6090	8	15	and	and	CCONJ
ejpam-6090	8	16	phrases	phrase	NOUN
ejpam-6090	8	17	:	:	PUNCT
ejpam-6090	8	18	exponential	exponential	ADJ
ejpam-6090	8	19	stability	stability	NOUN
ejpam-6090	8	20	,	,	PUNCT
ejpam-6090	8	21	volterra	volterra	PROPN
ejpam-6090	8	22	integro	integro	PROPN
ejpam-6090	8	23	-	-	PUNCT
ejpam-6090	8	24	dynamical	dynamical	ADJ
ejpam-6090	8	25	system	system	NOUN
ejpam-6090	8	26	,	,	PUNCT
ejpam-6090	8	27	kronecker	kronecker	NOUN
ejpam-6090	8	28	product	product	NOUN
ejpam-6090	8	29	,	,	PUNCT
ejpam-6090	8	30	time	time	NOUN
ejpam-6090	8	31	scales	scale	VERB
ejpam-6090	8	32	1	1	NUM
ejpam-6090	8	33	.	.	PUNCT
ejpam-6090	9	1	introduction	introduction	NOUN
ejpam-6090	9	2	the	the	DET
ejpam-6090	9	3	examination	examination	NOUN
ejpam-6090	9	4	of	of	ADP
ejpam-6090	9	5	dynamic	dynamic	ADJ
ejpam-6090	9	6	equations	equation	NOUN
ejpam-6090	9	7	on	on	ADP
ejpam-6090	9	8	time	time	NOUN
ejpam-6090	9	9	scales	scale	NOUN
ejpam-6090	9	10	has	have	AUX
ejpam-6090	9	11	garnered	garner	VERB
ejpam-6090	9	12	considerable	considerable	ADJ
ejpam-6090	9	13	interest	interest	NOUN
ejpam-6090	9	14	due	due	ADP
ejpam-6090	9	15	to	to	ADP
ejpam-6090	9	16	its	its	PRON
ejpam-6090	9	17	ability	ability	NOUN
ejpam-6090	9	18	to	to	PART
ejpam-6090	9	19	unify	unify	VERB
ejpam-6090	9	20	discrete	discrete	ADJ
ejpam-6090	9	21	and	and	CCONJ
ejpam-6090	9	22	continuous	continuous	ADJ
ejpam-6090	9	23	analysis	analysis	NOUN
ejpam-6090	9	24	.	.	PUNCT
ejpam-6090	10	1	bohner	bohner	NOUN
ejpam-6090	10	2	and	and	CCONJ
ejpam-6090	10	3	peterson	peterson	PROPN
ejpam-6090	11	1	[	[	X
ejpam-6090	11	2	1	1	NUM
ejpam-6090	11	3	,	,	PUNCT
ejpam-6090	11	4	2	2	NUM
ejpam-6090	11	5	]	]	PUNCT
ejpam-6090	11	6	laid	lay	VERB
ejpam-6090	11	7	the	the	DET
ejpam-6090	11	8	foundational	foundational	ADJ
ejpam-6090	11	9	groundwork	groundwork	NOUN
ejpam-6090	11	10	for	for	ADP
ejpam-6090	11	11	this	this	DET
ejpam-6090	11	12	discipline	discipline	NOUN
ejpam-6090	11	13	by	by	ADP
ejpam-6090	11	14	establishing	establish	VERB
ejpam-6090	11	15	a	a	DET
ejpam-6090	11	16	coherent	coherent	ADJ
ejpam-6090	11	17	framework	framework	NOUN
ejpam-6090	11	18	that	that	PRON
ejpam-6090	11	19	integrates	integrate	VERB
ejpam-6090	11	20	differential	differential	ADJ
ejpam-6090	11	21	and	and	CCONJ
ejpam-6090	11	22	difference	difference	NOUN
ejpam-6090	11	23	equations	equation	NOUN
ejpam-6090	11	24	.	.	PUNCT
ejpam-6090	12	1	this	this	DET
ejpam-6090	12	2	approach	approach	NOUN
ejpam-6090	12	3	has	have	AUX
ejpam-6090	12	4	proven	prove	VERB
ejpam-6090	12	5	effective	effective	ADJ
ejpam-6090	12	6	in	in	ADP
ejpam-6090	12	7	modeling	model	VERB
ejpam-6090	12	8	real	real	ADJ
ejpam-6090	12	9	-	-	PUNCT
ejpam-6090	12	10	world	world	NOUN
ejpam-6090	12	11	systems	system	NOUN
ejpam-6090	12	12	exhibiting	exhibit	VERB
ejpam-6090	12	13	both	both	CCONJ
ejpam-6090	12	14	continuous	continuous	ADJ
ejpam-6090	12	15	and	and	CCONJ
ejpam-6090	12	16	discrete	discrete	ADJ
ejpam-6090	12	17	behavior	behavior	NOUN
ejpam-6090	12	18	,	,	PUNCT
ejpam-6090	12	19	such	such	ADJ
ejpam-6090	12	20	as	as	ADP
ejpam-6090	12	21	biological	biological	ADJ
ejpam-6090	12	22	models	model	NOUN
ejpam-6090	12	23	,	,	PUNCT
ejpam-6090	12	24	economic	economic	ADJ
ejpam-6090	12	25	systems	system	NOUN
ejpam-6090	12	26	,	,	PUNCT
ejpam-6090	12	27	and	and	CCONJ
ejpam-6090	12	28	control	control	NOUN
ejpam-6090	12	29	theory	theory	NOUN
ejpam-6090	12	30	applications	application	NOUN
ejpam-6090	12	31	.	.	PUNCT
ejpam-6090	13	1	a	a	DET
ejpam-6090	13	2	central	central	ADJ
ejpam-6090	13	3	area	area	NOUN
ejpam-6090	13	4	of	of	ADP
ejpam-6090	13	5	study	study	NOUN
ejpam-6090	13	6	within	within	ADP
ejpam-6090	13	7	time	time	NOUN
ejpam-6090	13	8	scale	scale	NOUN
ejpam-6090	13	9	calculus	calculus	NOUN
ejpam-6090	13	10	is	be	AUX
ejpam-6090	13	11	the	the	DET
ejpam-6090	13	12	stability	stability	NOUN
ejpam-6090	13	13	analysis	analysis	NOUN
ejpam-6090	13	14	of	of	ADP
ejpam-6090	13	15	dynamical	dynamical	ADJ
ejpam-6090	13	16	systems	system	NOUN
ejpam-6090	13	17	.	.	PUNCT
ejpam-6090	14	1	researchers	researcher	NOUN
ejpam-6090	14	2	such	such	ADJ
ejpam-6090	14	3	as	as	ADP
ejpam-6090	14	4	berezansky	berezansky	PROPN
ejpam-6090	14	5	et	et	PROPN
ejpam-6090	14	6	al	al	PROPN
ejpam-6090	14	7	.	.	PUNCT
ejpam-6090	15	1	[	[	X
ejpam-6090	15	2	3	3	X
ejpam-6090	15	3	]	]	PUNCT
ejpam-6090	15	4	have	have	AUX
ejpam-6090	15	5	analyzed	analyze	VERB
ejpam-6090	15	6	stability	stability	NOUN
ejpam-6090	15	7	conditions	condition	NOUN
ejpam-6090	15	8	for	for	ADP
ejpam-6090	15	9	scalar	scalar	ADJ
ejpam-6090	15	10	volterra	volterra	PROPN
ejpam-6090	15	11	difference	difference	NOUN
ejpam-6090	15	12	equations	equation	NOUN
ejpam-6090	15	13	,	,	PUNCT
ejpam-6090	15	14	while	while	SCONJ
ejpam-6090	15	15	migda	migda	NOUN
ejpam-6090	15	16	and	and	CCONJ
ejpam-6090	15	17	aldona	aldona	X
ejpam-6090	15	18	[	[	X
ejpam-6090	15	19	4	4	NUM
ejpam-6090	15	20	]	]	PUNCT
ejpam-6090	15	21	focused	focus	VERB
ejpam-6090	15	22	on	on	ADP
ejpam-6090	15	23	the	the	DET
ejpam-6090	15	24	asymptotic	asymptotic	ADJ
ejpam-6090	15	25	∗corresponding	∗corresponding	NOUN
ejpam-6090	15	26	author	author	NOUN
ejpam-6090	15	27	.	.	PUNCT
ejpam-6090	16	1	doi	doi	NOUN
ejpam-6090	16	2	:	:	PUNCT
ejpam-6090	16	3	https://doi.org/10.29020/nybg.ejpam.v18i2.6090	https://doi.org/10.29020/nybg.ejpam.v18i2.6090	PROPN
ejpam-6090	16	4	email	email	NOUN
ejpam-6090	16	5	addresses	address	VERB
ejpam-6090	16	6	:	:	PUNCT
ejpam-6090	17	1	harishatalasila@gmail.com	harishatalasila@gmail.com	X
ejpam-6090	17	2	(	(	PUNCT
ejpam-6090	17	3	ch	ch	PROPN
ejpam-6090	17	4	.	.	PROPN
ejpam-6090	17	5	harisha	harisha	PROPN
ejpam-6090	17	6	)	)	PUNCT
ejpam-6090	17	7	,	,	PUNCT
ejpam-6090	17	8	bvardr2010@kluniversity.in	bvardr2010@kluniversity.in	X
ejpam-6090	17	9	(	(	PUNCT
ejpam-6090	17	10	b.	b.	PROPN
ejpam-6090	17	11	v.	v.	ADP
ejpam-6090	17	12	appa	appa	PROPN
ejpam-6090	17	13	rao	rao	PROPN
ejpam-6090	17	14	)	)	PUNCT
ejpam-6090	17	15	,	,	PUNCT
ejpam-6090	17	16	asreenivasulu@kluniversity.in	asreenivasulu@kluniversity.in	PROPN
ejpam-6090	17	17	(	(	PUNCT
ejpam-6090	17	18	a.	a.	NOUN
ejpam-6090	17	19	sreenivasulu	sreenivasulu	PROPN
ejpam-6090	17	20	)	)	PUNCT
ejpam-6090	17	21	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6090	18	1	1	1	NUM
ejpam-6090	18	2	copyright	copyright	NOUN
ejpam-6090	18	3	:	:	PUNCT
ejpam-6090	18	4	©	©	PROPN
ejpam-6090	18	5	2025	2025	NUM
ejpam-6090	18	6	the	the	DET
ejpam-6090	18	7	author(s	author(s	NOUN
ejpam-6090	18	8	)	)	PUNCT
ejpam-6090	18	9	.	.	PUNCT
ejpam-6090	19	1	(	(	PUNCT
ejpam-6090	19	2	cc	cc	NOUN
ejpam-6090	19	3	by	by	ADP
ejpam-6090	19	4	-	-	PUNCT
ejpam-6090	19	5	nc	nc	PROPN
ejpam-6090	19	6	4.0	4.0	NUM
ejpam-6090	19	7	)	)	PUNCT
ejpam-6090	19	8	ch	ch	NOUN
ejpam-6090	19	9	.	.	PUNCT
ejpam-6090	19	10	harisha	harisha	PROPN
ejpam-6090	19	11	,	,	PUNCT
ejpam-6090	19	12	b.	b.	PROPN
ejpam-6090	19	13	v.	v.	ADP
ejpam-6090	19	14	appa	appa	PROPN
ejpam-6090	19	15	rao	rao	PROPN
ejpam-6090	19	16	,	,	PUNCT
ejpam-6090	19	17	a.	a.	PROPN
ejpam-6090	19	18	sreenivasulu	sreenivasulu	PROPN
ejpam-6090	19	19	/	/	SYM
ejpam-6090	19	20	eur	eur	PROPN
ejpam-6090	19	21	.	.	PUNCT
ejpam-6090	20	1	j.	j.	PROPN
ejpam-6090	20	2	pure	pure	PROPN
ejpam-6090	20	3	appl	appl	PROPN
ejpam-6090	20	4	.	.	PROPN
ejpam-6090	20	5	math	math	PROPN
ejpam-6090	20	6	,	,	PUNCT
ejpam-6090	20	7	18	18	NUM
ejpam-6090	20	8	(	(	PUNCT
ejpam-6090	20	9	2	2	NUM
ejpam-6090	20	10	)	)	PUNCT
ejpam-6090	20	11	(	(	PUNCT
ejpam-6090	20	12	2025	2025	NUM
ejpam-6090	20	13	)	)	PUNCT
ejpam-6090	20	14	,	,	PUNCT
ejpam-6090	20	15	6090	6090	NUM
ejpam-6090	20	16	2	2	NUM
ejpam-6090	20	17	of	of	ADP
ejpam-6090	20	18	13	13	NUM
ejpam-6090	20	19	behavior	behavior	NOUN
ejpam-6090	20	20	of	of	ADP
ejpam-6090	20	21	second	second	ADJ
ejpam-6090	20	22	-	-	PUNCT
ejpam-6090	20	23	order	order	NOUN
ejpam-6090	20	24	volterra	volterra	NOUN
ejpam-6090	20	25	-	-	PUNCT
ejpam-6090	20	26	type	type	NOUN
ejpam-6090	20	27	systems	system	NOUN
ejpam-6090	20	28	.	.	PUNCT
ejpam-6090	21	1	further	further	ADJ
ejpam-6090	21	2	contributions	contribution	NOUN
ejpam-6090	21	3	by	by	ADP
ejpam-6090	21	4	schmeidel	schmeidel	PROPN
ejpam-6090	21	5	et	et	PROPN
ejpam-6090	21	6	al	al	PROPN
ejpam-6090	21	7	.	.	PUNCT
ejpam-6090	22	1	[	[	X
ejpam-6090	22	2	5	5	NUM
ejpam-6090	22	3	,	,	PUNCT
ejpam-6090	22	4	6	6	NUM
ejpam-6090	22	5	]	]	PUNCT
ejpam-6090	22	6	addressed	address	VERB
ejpam-6090	22	7	exponential	exponential	ADJ
ejpam-6090	22	8	stability	stability	NOUN
ejpam-6090	22	9	in	in	ADP
ejpam-6090	22	10	multi	multi	ADJ
ejpam-6090	22	11	-	-	ADJ
ejpam-6090	22	12	agent	agent	ADJ
ejpam-6090	22	13	systems	system	NOUN
ejpam-6090	22	14	.	.	PUNCT
ejpam-6090	23	1	stability	stability	NOUN
ejpam-6090	23	2	and	and	CCONJ
ejpam-6090	23	3	controllability	controllability	NOUN
ejpam-6090	23	4	of	of	ADP
ejpam-6090	23	5	vid	vid	NOUN
ejpam-6090	23	6	sylvester	sylvester	NOUN
ejpam-6090	23	7	matrix	matrix	NOUN
ejpam-6090	23	8	systems	system	NOUN
ejpam-6090	23	9	have	have	AUX
ejpam-6090	23	10	also	also	ADV
ejpam-6090	23	11	been	be	AUX
ejpam-6090	23	12	extensively	extensively	ADV
ejpam-6090	23	13	studied	study	VERB
ejpam-6090	23	14	.	.	PUNCT
ejpam-6090	24	1	investigations	investigation	NOUN
ejpam-6090	24	2	by	by	ADP
ejpam-6090	24	3	sreenivasulu	sreenivasulu	NOUN
ejpam-6090	24	4	and	and	CCONJ
ejpam-6090	24	5	rao	rao	NOUN
ejpam-6090	24	6	[	[	X
ejpam-6090	24	7	7–9	7–9	X
ejpam-6090	24	8	]	]	X
ejpam-6090	24	9	introduced	introduce	VERB
ejpam-6090	24	10	stability	stability	NOUN
ejpam-6090	24	11	conditions	condition	NOUN
ejpam-6090	24	12	for	for	ADP
ejpam-6090	24	13	nonlinear	nonlinear	ADJ
ejpam-6090	24	14	sylvester	sylvest	ADJ
ejpam-6090	24	15	systems	system	NOUN
ejpam-6090	24	16	,	,	PUNCT
ejpam-6090	24	17	including	include	VERB
ejpam-6090	24	18	impulsive	impulsive	ADJ
ejpam-6090	24	19	cases	case	NOUN
ejpam-6090	24	20	.	.	PUNCT
ejpam-6090	25	1	ramana	ramana	NOUN
ejpam-6090	25	2	and	and	CCONJ
ejpam-6090	25	3	deekshitulu	deekshitulu	VERB
ejpam-6090	25	4	[	[	X
ejpam-6090	25	5	10	10	NUM
ejpam-6090	25	6	,	,	PUNCT
ejpam-6090	25	7	11	11	NUM
ejpam-6090	25	8	]	]	PUNCT
ejpam-6090	25	9	contributed	contribute	VERB
ejpam-6090	25	10	results	result	NOUN
ejpam-6090	25	11	on	on	ADP
ejpam-6090	25	12	controllability	controllability	NOUN
ejpam-6090	25	13	and	and	CCONJ
ejpam-6090	25	14	asymptotic	asymptotic	ADJ
ejpam-6090	25	15	behavior	behavior	NOUN
ejpam-6090	25	16	of	of	ADP
ejpam-6090	25	17	volterra	volterra	NOUN
ejpam-6090	25	18	-	-	PUNCT
ejpam-6090	25	19	type	type	NOUN
ejpam-6090	25	20	matrix	matrix	NOUN
ejpam-6090	25	21	models	model	NOUN
ejpam-6090	25	22	,	,	PUNCT
ejpam-6090	25	23	while	while	SCONJ
ejpam-6090	25	24	shivasivapriya	shivasivapriya	PROPN
ejpam-6090	25	25	et	et	PROPN
ejpam-6090	25	26	al	al	PROPN
ejpam-6090	25	27	.	.	PUNCT
ejpam-6090	26	1	[	[	X
ejpam-6090	26	2	12	12	NUM
ejpam-6090	26	3	]	]	PUNCT
ejpam-6090	26	4	explored	explore	VERB
ejpam-6090	26	5	delayed	delay	VERB
ejpam-6090	26	6	impulses	impulse	NOUN
ejpam-6090	26	7	and	and	CCONJ
ejpam-6090	26	8	controller	controller	NOUN
ejpam-6090	26	9	designs	design	NOUN
ejpam-6090	26	10	.	.	PUNCT
ejpam-6090	27	1	alexander	alexander	PROPN
ejpam-6090	27	2	’s	’s	PART
ejpam-6090	27	3	work	work	NOUN
ejpam-6090	27	4	on	on	ADP
ejpam-6090	27	5	kronecker	kronecker	NOUN
ejpam-6090	27	6	products	product	NOUN
ejpam-6090	27	7	and	and	CCONJ
ejpam-6090	27	8	matrix	matrix	NOUN
ejpam-6090	27	9	calculus	calculus	NOUN
ejpam-6090	27	10	in	in	ADP
ejpam-6090	27	11	time	time	NOUN
ejpam-6090	27	12	scale	scale	NOUN
ejpam-6090	27	13	settings	setting	NOUN
ejpam-6090	27	14	and	and	CCONJ
ejpam-6090	27	15	the	the	DET
ejpam-6090	27	16	methodology	methodology	NOUN
ejpam-6090	27	17	by	by	ADP
ejpam-6090	27	18	aulbach	aulbach	PROPN
ejpam-6090	27	19	and	and	CCONJ
ejpam-6090	27	20	stefan	stefan	PROPN
ejpam-6090	27	21	[	[	X
ejpam-6090	27	22	13	13	NUM
ejpam-6090	27	23	]	]	PUNCT
ejpam-6090	27	24	further	far	ADV
ejpam-6090	27	25	advanced	advance	VERB
ejpam-6090	27	26	the	the	DET
ejpam-6090	27	27	analytical	analytical	ADJ
ejpam-6090	27	28	framework	framework	NOUN
ejpam-6090	27	29	by	by	ADP
ejpam-6090	27	30	merging	merge	VERB
ejpam-6090	27	31	discrete	discrete	ADJ
ejpam-6090	27	32	and	and	CCONJ
ejpam-6090	27	33	continuous	continuous	ADJ
ejpam-6090	27	34	approaches	approach	NOUN
ejpam-6090	27	35	.	.	PUNCT
ejpam-6090	28	1	the	the	DET
ejpam-6090	28	2	role	role	NOUN
ejpam-6090	28	3	of	of	ADP
ejpam-6090	28	4	exponential	exponential	ADJ
ejpam-6090	28	5	stability	stability	NOUN
ejpam-6090	28	6	in	in	ADP
ejpam-6090	28	7	understanding	understand	VERB
ejpam-6090	28	8	long	long	ADJ
ejpam-6090	28	9	-	-	PUNCT
ejpam-6090	28	10	term	term	NOUN
ejpam-6090	28	11	system	system	NOUN
ejpam-6090	28	12	behavior	behavior	NOUN
ejpam-6090	28	13	has	have	AUX
ejpam-6090	28	14	been	be	AUX
ejpam-6090	28	15	emphasized	emphasize	VERB
ejpam-6090	28	16	in	in	ADP
ejpam-6090	28	17	studies	study	NOUN
ejpam-6090	28	18	by	by	ADP
ejpam-6090	28	19	various	various	ADJ
ejpam-6090	28	20	authors	author	NOUN
ejpam-6090	28	21	[	[	X
ejpam-6090	28	22	14–16	14–16	NUM
ejpam-6090	28	23	]	]	PUNCT
ejpam-6090	28	24	.	.	PUNCT
ejpam-6090	29	1	recent	recent	ADJ
ejpam-6090	29	2	works	work	NOUN
ejpam-6090	29	3	by	by	ADP
ejpam-6090	29	4	suresh	suresh	PROPN
ejpam-6090	29	5	et	et	PROPN
ejpam-6090	29	6	al	al	PROPN
ejpam-6090	29	7	.	.	PUNCT
ejpam-6090	30	1	[	[	X
ejpam-6090	30	2	17–19	17–19	NUM
ejpam-6090	30	3	]	]	PUNCT
ejpam-6090	30	4	expanded	expand	VERB
ejpam-6090	30	5	this	this	DET
ejpam-6090	30	6	perspective	perspective	NOUN
ejpam-6090	30	7	by	by	ADP
ejpam-6090	30	8	addressing	address	VERB
ejpam-6090	30	9	fuzzy	fuzzy	ADJ
ejpam-6090	30	10	boundary	boundary	ADJ
ejpam-6090	30	11	value	value	NOUN
ejpam-6090	30	12	problems	problem	NOUN
ejpam-6090	30	13	and	and	CCONJ
ejpam-6090	30	14	ψ	ψ	NOUN
ejpam-6090	30	15	-	-	NOUN
ejpam-6090	30	16	stability	stability	NOUN
ejpam-6090	30	17	for	for	ADP
ejpam-6090	30	18	nonlinear	nonlinear	ADJ
ejpam-6090	30	19	matrix	matrix	NOUN
ejpam-6090	30	20	difference	difference	NOUN
ejpam-6090	30	21	equations	equation	NOUN
ejpam-6090	30	22	,	,	PUNCT
ejpam-6090	30	23	reflecting	reflect	VERB
ejpam-6090	30	24	the	the	DET
ejpam-6090	30	25	growing	grow	VERB
ejpam-6090	30	26	theoretical	theoretical	ADJ
ejpam-6090	30	27	depth	depth	NOUN
ejpam-6090	30	28	and	and	CCONJ
ejpam-6090	30	29	practical	practical	ADJ
ejpam-6090	30	30	relevance	relevance	NOUN
ejpam-6090	30	31	of	of	ADP
ejpam-6090	30	32	the	the	DET
ejpam-6090	30	33	field	field	NOUN
ejpam-6090	30	34	.	.	PUNCT
ejpam-6090	31	1	complementary	complementary	ADJ
ejpam-6090	31	2	efforts	effort	NOUN
ejpam-6090	31	3	by	by	ADP
ejpam-6090	31	4	adıvar	adıvar	NOUN
ejpam-6090	31	5	and	and	CCONJ
ejpam-6090	31	6	raffoul	raffoul	NOUN
ejpam-6090	31	7	[	[	X
ejpam-6090	31	8	20	20	NUM
ejpam-6090	31	9	]	]	PUNCT
ejpam-6090	31	10	contributed	contribute	VERB
ejpam-6090	31	11	foundational	foundational	ADJ
ejpam-6090	31	12	stability	stability	NOUN
ejpam-6090	31	13	results	result	NOUN
ejpam-6090	31	14	,	,	PUNCT
ejpam-6090	31	15	while	while	SCONJ
ejpam-6090	31	16	diamandescu	diamandescu	NOUN
ejpam-6090	31	17	et	et	PROPN
ejpam-6090	31	18	al	al	PROPN
ejpam-6090	31	19	.	.	PUNCT
ejpam-6090	32	1	[	[	X
ejpam-6090	32	2	21	21	NUM
ejpam-6090	32	3	,	,	PUNCT
ejpam-6090	32	4	22	22	NUM
ejpam-6090	32	5	]	]	PUNCT
ejpam-6090	32	6	analyzed	analyze	VERB
ejpam-6090	32	7	ψ	ψ	ADJ
ejpam-6090	32	8	-	-	ADJ
ejpam-6090	32	9	conditional	conditional	ADJ
ejpam-6090	32	10	asymptotic	asymptotic	ADJ
ejpam-6090	32	11	stability	stability	NOUN
ejpam-6090	32	12	in	in	ADP
ejpam-6090	32	13	nonlinear	nonlinear	ADJ
ejpam-6090	32	14	lyapunov	lyapunov	ADJ
ejpam-6090	32	15	matrix	matrix	NOUN
ejpam-6090	32	16	systems	system	NOUN
ejpam-6090	32	17	.	.	PUNCT
ejpam-6090	33	1	further	further	ADJ
ejpam-6090	33	2	contributions	contribution	NOUN
ejpam-6090	33	3	by	by	ADP
ejpam-6090	33	4	rao	rao	NOUN
ejpam-6090	33	5	and	and	CCONJ
ejpam-6090	33	6	prasad	prasad	PROPN
ejpam-6090	34	1	[	[	X
ejpam-6090	34	2	23	23	NUM
ejpam-6090	34	3	]	]	PUNCT
ejpam-6090	34	4	,	,	PUNCT
ejpam-6090	34	5	girejko	girejko	PROPN
ejpam-6090	34	6	et	et	PROPN
ejpam-6090	34	7	al	al	PROPN
ejpam-6090	34	8	.	.	PUNCT
ejpam-6090	35	1	[	[	X
ejpam-6090	35	2	24	24	NUM
ejpam-6090	35	3	]	]	PUNCT
ejpam-6090	35	4	,	,	PUNCT
ejpam-6090	35	5	and	and	CCONJ
ejpam-6090	35	6	karpuz	karpuz	NOUN
ejpam-6090	35	7	and	and	CCONJ
ejpam-6090	35	8	koyuncuoğlu	koyuncuoğlu	NOUN
ejpam-6090	36	1	[	[	X
ejpam-6090	36	2	25	25	NUM
ejpam-6090	36	3	]	]	PUNCT
ejpam-6090	36	4	addressed	address	VERB
ejpam-6090	36	5	stability	stability	NOUN
ejpam-6090	36	6	in	in	ADP
ejpam-6090	36	7	sylvester	sylvester	NOUN
ejpam-6090	36	8	-	-	PUNCT
ejpam-6090	36	9	type	type	NOUN
ejpam-6090	36	10	and	and	CCONJ
ejpam-6090	36	11	volterra	volterra	NOUN
ejpam-6090	36	12	systems	system	NOUN
ejpam-6090	36	13	.	.	PUNCT
ejpam-6090	37	1	the	the	DET
ejpam-6090	37	2	nonlinear	nonlinear	ADJ
ejpam-6090	37	3	time	time	NOUN
ejpam-6090	37	4	-	-	PUNCT
ejpam-6090	37	5	varying	vary	VERB
ejpam-6090	37	6	stability	stability	NOUN
ejpam-6090	37	7	analysis	analysis	NOUN
ejpam-6090	37	8	presented	present	VERB
ejpam-6090	37	9	by	by	ADP
ejpam-6090	37	10	qiang	qiang	PROPN
ejpam-6090	37	11	et	et	PROPN
ejpam-6090	37	12	al	al	PROPN
ejpam-6090	37	13	.	.	PUNCT
ejpam-6090	38	1	[	[	X
ejpam-6090	38	2	26	26	NUM
ejpam-6090	38	3	]	]	AUX
ejpam-6090	38	4	adds	add	VERB
ejpam-6090	38	5	to	to	ADP
ejpam-6090	38	6	this	this	DET
ejpam-6090	38	7	evolving	evolve	VERB
ejpam-6090	38	8	body	body	NOUN
ejpam-6090	38	9	of	of	ADP
ejpam-6090	38	10	knowledge	knowledge	NOUN
ejpam-6090	38	11	.	.	PUNCT
ejpam-6090	39	1	additionally	additionally	ADV
ejpam-6090	39	2	,	,	PUNCT
ejpam-6090	39	3	modern	modern	ADJ
ejpam-6090	39	4	control	control	NOUN
ejpam-6090	39	5	theory	theory	NOUN
ejpam-6090	39	6	and	and	CCONJ
ejpam-6090	39	7	fractional	fractional	ADJ
ejpam-6090	39	8	calculus	calculus	NOUN
ejpam-6090	39	9	have	have	AUX
ejpam-6090	39	10	significantly	significantly	ADV
ejpam-6090	39	11	influenced	influence	VERB
ejpam-6090	39	12	time	time	NOUN
ejpam-6090	39	13	scale	scale	NOUN
ejpam-6090	39	14	dynamics	dynamic	NOUN
ejpam-6090	39	15	.	.	PUNCT
ejpam-6090	40	1	sadek	sadek	PROPN
ejpam-6090	40	2	et	et	PROPN
ejpam-6090	40	3	al	al	PROPN
ejpam-6090	40	4	.	.	PUNCT
ejpam-6090	41	1	[	[	X
ejpam-6090	41	2	27	27	NUM
ejpam-6090	41	3	,	,	PUNCT
ejpam-6090	41	4	28	28	NUM
ejpam-6090	41	5	]	]	PUNCT
ejpam-6090	41	6	examined	examine	VERB
ejpam-6090	41	7	controllability	controllability	NOUN
ejpam-6090	41	8	and	and	CCONJ
ejpam-6090	41	9	observability	observability	NOUN
ejpam-6090	41	10	in	in	ADP
ejpam-6090	41	11	ϕ-conformable	ϕ-conformable	ADJ
ejpam-6090	41	12	fractional	fractional	ADJ
ejpam-6090	41	13	systems	system	NOUN
ejpam-6090	41	14	and	and	CCONJ
ejpam-6090	41	15	proposed	propose	VERB
ejpam-6090	41	16	numerical	numerical	ADJ
ejpam-6090	41	17	strategies	strategy	NOUN
ejpam-6090	41	18	for	for	ADP
ejpam-6090	41	19	solving	solve	VERB
ejpam-6090	41	20	high	high	ADJ
ejpam-6090	41	21	-	-	PUNCT
ejpam-6090	41	22	dimensional	dimensional	ADJ
ejpam-6090	41	23	matrix	matrix	NOUN
ejpam-6090	41	24	equations	equation	NOUN
ejpam-6090	41	25	[	[	X
ejpam-6090	41	26	29	29	NUM
ejpam-6090	41	27	,	,	PUNCT
ejpam-6090	41	28	30	30	NUM
ejpam-6090	41	29	]	]	PUNCT
ejpam-6090	41	30	.	.	PUNCT
ejpam-6090	42	1	their	their	PRON
ejpam-6090	42	2	work	work	NOUN
ejpam-6090	42	3	on	on	ADP
ejpam-6090	42	4	generalized	generalized	ADJ
ejpam-6090	42	5	fractional	fractional	ADJ
ejpam-6090	42	6	derivatives	derivative	NOUN
ejpam-6090	42	7	[	[	X
ejpam-6090	42	8	31	31	NUM
ejpam-6090	42	9	]	]	PUNCT
ejpam-6090	42	10	supports	support	VERB
ejpam-6090	42	11	broader	broad	ADJ
ejpam-6090	42	12	modeling	modeling	NOUN
ejpam-6090	42	13	flexibility	flexibility	NOUN
ejpam-6090	42	14	.	.	PUNCT
ejpam-6090	43	1	parallel	parallel	ADJ
ejpam-6090	43	2	developments	development	NOUN
ejpam-6090	43	3	by	by	ADP
ejpam-6090	43	4	kumar	kumar	PROPN
ejpam-6090	43	5	and	and	CCONJ
ejpam-6090	43	6	co	co	NOUN
ejpam-6090	43	7	-	-	NOUN
ejpam-6090	43	8	authors	author	NOUN
ejpam-6090	43	9	[	[	X
ejpam-6090	43	10	32–39	32–39	NUM
ejpam-6090	43	11	]	]	PUNCT
ejpam-6090	43	12	address	address	NOUN
ejpam-6090	43	13	impulsive	impulsive	ADJ
ejpam-6090	43	14	systems	system	NOUN
ejpam-6090	43	15	,	,	PUNCT
ejpam-6090	43	16	synchronization	synchronization	NOUN
ejpam-6090	43	17	in	in	ADP
ejpam-6090	43	18	neural	neural	ADJ
ejpam-6090	43	19	networks	network	NOUN
ejpam-6090	43	20	,	,	PUNCT
ejpam-6090	43	21	and	and	CCONJ
ejpam-6090	43	22	fractional	fractional	ADJ
ejpam-6090	43	23	dynamic	dynamic	ADJ
ejpam-6090	43	24	systems	system	NOUN
ejpam-6090	43	25	over	over	ADP
ejpam-6090	43	26	irregular	irregular	ADJ
ejpam-6090	43	27	time	time	NOUN
ejpam-6090	43	28	domains	domain	NOUN
ejpam-6090	43	29	.	.	PUNCT
ejpam-6090	44	1	the	the	DET
ejpam-6090	44	2	sylvester	sylvest	ADJ
ejpam-6090	44	3	matrix	matrix	NOUN
ejpam-6090	44	4	formulation	formulation	NOUN
ejpam-6090	44	5	offers	offer	VERB
ejpam-6090	44	6	a	a	DET
ejpam-6090	44	7	powerful	powerful	ADJ
ejpam-6090	44	8	tool	tool	NOUN
ejpam-6090	44	9	for	for	ADP
ejpam-6090	44	10	studying	study	VERB
ejpam-6090	44	11	integro	integro	ADJ
ejpam-6090	44	12	-	-	PUNCT
ejpam-6090	44	13	dynamic	dynamic	ADJ
ejpam-6090	44	14	systems	system	NOUN
ejpam-6090	44	15	.	.	PUNCT
ejpam-6090	45	1	its	its	PRON
ejpam-6090	45	2	structured	structured	ADJ
ejpam-6090	45	3	representation	representation	NOUN
ejpam-6090	45	4	facilitates	facilitate	VERB
ejpam-6090	45	5	analytical	analytical	ADJ
ejpam-6090	45	6	tractability	tractability	NOUN
ejpam-6090	45	7	and	and	CCONJ
ejpam-6090	45	8	efficient	efficient	ADJ
ejpam-6090	45	9	computation	computation	NOUN
ejpam-6090	45	10	,	,	PUNCT
ejpam-6090	45	11	particularly	particularly	ADV
ejpam-6090	45	12	when	when	SCONJ
ejpam-6090	45	13	combined	combine	VERB
ejpam-6090	45	14	with	with	ADP
ejpam-6090	45	15	kronecker	kronecker	NOUN
ejpam-6090	45	16	product	product	NOUN
ejpam-6090	45	17	techniques	technique	NOUN
ejpam-6090	45	18	.	.	PUNCT
ejpam-6090	46	1	this	this	DET
ejpam-6090	46	2	matrixbased	matrixbase	VERB
ejpam-6090	46	3	approach	approach	NOUN
ejpam-6090	46	4	enhances	enhance	VERB
ejpam-6090	46	5	the	the	DET
ejpam-6090	46	6	understanding	understanding	NOUN
ejpam-6090	46	7	of	of	ADP
ejpam-6090	46	8	stability	stability	NOUN
ejpam-6090	46	9	,	,	PUNCT
ejpam-6090	46	10	qualitative	qualitative	ADJ
ejpam-6090	46	11	properties	property	NOUN
ejpam-6090	46	12	in	in	ADP
ejpam-6090	46	13	highdimensional	highdimensional	ADJ
ejpam-6090	46	14	systems	system	NOUN
ejpam-6090	46	15	and	and	CCONJ
ejpam-6090	46	16	serves	serve	VERB
ejpam-6090	46	17	as	as	ADP
ejpam-6090	46	18	a	a	DET
ejpam-6090	46	19	versatile	versatile	ADJ
ejpam-6090	46	20	framework	framework	NOUN
ejpam-6090	46	21	across	across	ADP
ejpam-6090	46	22	engineering	engineering	NOUN
ejpam-6090	46	23	,	,	PUNCT
ejpam-6090	46	24	physics	physics	NOUN
ejpam-6090	46	25	,	,	PUNCT
ejpam-6090	46	26	and	and	CCONJ
ejpam-6090	46	27	applied	applied	ADJ
ejpam-6090	46	28	sciences	science	NOUN
ejpam-6090	46	29	.	.	PUNCT
ejpam-6090	47	1	in	in	ADP
ejpam-6090	47	2	this	this	DET
ejpam-6090	47	3	paper	paper	NOUN
ejpam-6090	47	4	,	,	PUNCT
ejpam-6090	47	5	we	we	PRON
ejpam-6090	47	6	deals	deal	VERB
ejpam-6090	47	7	with	with	ADP
ejpam-6090	47	8	exponential	exponential	ADJ
ejpam-6090	47	9	stability	stability	NOUN
ejpam-6090	47	10	of	of	ADP
ejpam-6090	47	11	vid	vid	NOUN
ejpam-6090	47	12	sylvester	sylvester	NOUN
ejpam-6090	47	13	matrix	matrix	NOUN
ejpam-6090	47	14	system	system	NOUN
ejpam-6090	47	15	of	of	ADP
ejpam-6090	47	16	the	the	DET
ejpam-6090	47	17	following	follow	VERB
ejpam-6090	47	18	form	form	NOUN
ejpam-6090	47	19	{	{	PUNCT
ejpam-6090	47	20	y	y	PROPN
ejpam-6090	47	21	∆(ι	∆(ι	PROPN
ejpam-6090	47	22	)	)	PUNCT
ejpam-6090	47	23	=	=	SYM
ejpam-6090	47	24	a(ι)y	a(ι)y	PROPN
ejpam-6090	47	25	(	(	PUNCT
ejpam-6090	47	26	ι	ι	NOUN
ejpam-6090	47	27	)	)	PUNCT
ejpam-6090	48	1	+	+	CCONJ
ejpam-6090	48	2	y	y	PROPN
ejpam-6090	48	3	(	(	PUNCT
ejpam-6090	48	4	ι)b(ι	ι)b(ι	PROPN
ejpam-6090	48	5	)	)	PUNCT
ejpam-6090	49	1	+	+	CCONJ
ejpam-6090	49	2	∫	∫	PROPN
ejpam-6090	49	3	ι	ι	X
ejpam-6090	49	4	0	0	NUM
ejpam-6090	49	5	h(ι	h(ι	NOUN
ejpam-6090	49	6	,	,	PUNCT
ejpam-6090	49	7	υ)y	υ)y	X
ejpam-6090	49	8	(	(	PUNCT
ejpam-6090	49	9	υ)∆υ	υ)∆υ	PROPN
ejpam-6090	49	10	+	+	PROPN
ejpam-6090	49	11	g(ι	g(ι	PROPN
ejpam-6090	49	12	)	)	PUNCT
ejpam-6090	49	13	,	,	PUNCT
ejpam-6090	49	14	ι	ι	PROPN
ejpam-6090	49	15	∈	∈	PROPN
ejpam-6090	50	1	[	[	X
ejpam-6090	50	2	0,∞)t	0,∞)t	X
ejpam-6090	50	3	y	y	PROPN
ejpam-6090	50	4	(	(	PUNCT
ejpam-6090	50	5	0	0	NUM
ejpam-6090	50	6	)	)	PUNCT
ejpam-6090	50	7	=	=	SYM
ejpam-6090	50	8	y0	y0	NOUN
ejpam-6090	50	9	.	.	PUNCT
ejpam-6090	51	1	(	(	PUNCT
ejpam-6090	51	2	1	1	X
ejpam-6090	51	3	)	)	PUNCT
ejpam-6090	51	4	where	where	SCONJ
ejpam-6090	51	5	a(ι	a(ι	NOUN
ejpam-6090	51	6	)	)	PUNCT
ejpam-6090	51	7	and	and	CCONJ
ejpam-6090	51	8	b(ι	b(ι	VERB
ejpam-6090	51	9	)	)	PUNCT
ejpam-6090	51	10	are	be	AUX
ejpam-6090	51	11	of	of	ADP
ejpam-6090	51	12	matrix	matrix	NOUN
ejpam-6090	51	13	order	order	NOUN
ejpam-6090	51	14	n×	n×	PROPN
ejpam-6090	51	15	n.	n.	PROPN
ejpam-6090	51	16	g(ι	g(ι	PROPN
ejpam-6090	51	17	)	)	PUNCT
ejpam-6090	51	18	and	and	CCONJ
ejpam-6090	51	19	h(ι	h(ι	PROPN
ejpam-6090	51	20	,	,	PUNCT
ejpam-6090	51	21	υ	υ	NOUN
ejpam-6090	51	22	)	)	PUNCT
ejpam-6090	51	23	are	be	AUX
ejpam-6090	51	24	matrix	matrix	NOUN
ejpam-6090	51	25	functions	function	NOUN
ejpam-6090	51	26	of	of	ADP
ejpam-6090	51	27	order	order	NOUN
ejpam-6090	51	28	n×	n×	PRON
ejpam-6090	51	29	n.	n.	PROPN
ejpam-6090	51	30	y	y	PROPN
ejpam-6090	51	31	∆(ι	∆(ι	PROPN
ejpam-6090	51	32	)	)	PUNCT
ejpam-6090	51	33	is	be	AUX
ejpam-6090	51	34	delta	delta	NOUN
ejpam-6090	51	35	derivative	derivative	NOUN
ejpam-6090	51	36	of	of	ADP
ejpam-6090	51	37	y	y	PROPN
ejpam-6090	51	38	(	(	PUNCT
ejpam-6090	51	39	ι	ι	PROPN
ejpam-6090	51	40	)	)	PUNCT
ejpam-6090	51	41	.	.	PUNCT
ejpam-6090	52	1	the	the	DET
ejpam-6090	52	2	primary	primary	ADJ
ejpam-6090	52	3	contributions	contribution	NOUN
ejpam-6090	52	4	and	and	CCONJ
ejpam-6090	52	5	advantages	advantage	NOUN
ejpam-6090	52	6	of	of	ADP
ejpam-6090	52	7	this	this	DET
ejpam-6090	52	8	manuscript	manuscript	NOUN
ejpam-6090	52	9	are	be	AUX
ejpam-6090	52	10	as	as	SCONJ
ejpam-6090	52	11	follows	follow	VERB
ejpam-6090	52	12	:	:	PUNCT
ejpam-6090	53	1	ch	ch	NOUN
ejpam-6090	53	2	.	.	PROPN
ejpam-6090	53	3	harisha	harisha	PROPN
ejpam-6090	53	4	,	,	PUNCT
ejpam-6090	53	5	b.	b.	PROPN
ejpam-6090	53	6	v.	v.	ADP
ejpam-6090	53	7	appa	appa	PROPN
ejpam-6090	53	8	rao	rao	PROPN
ejpam-6090	53	9	,	,	PUNCT
ejpam-6090	53	10	a.	a.	PROPN
ejpam-6090	53	11	sreenivasulu	sreenivasulu	PROPN
ejpam-6090	53	12	/	/	SYM
ejpam-6090	53	13	eur	eur	PROPN
ejpam-6090	53	14	.	.	PUNCT
ejpam-6090	54	1	j.	j.	PROPN
ejpam-6090	54	2	pure	pure	PROPN
ejpam-6090	54	3	appl	appl	PROPN
ejpam-6090	54	4	.	.	PROPN
ejpam-6090	54	5	math	math	PROPN
ejpam-6090	54	6	,	,	PUNCT
ejpam-6090	54	7	18	18	NUM
ejpam-6090	54	8	(	(	PUNCT
ejpam-6090	54	9	2	2	NUM
ejpam-6090	54	10	)	)	PUNCT
ejpam-6090	54	11	(	(	PUNCT
ejpam-6090	54	12	2025	2025	NUM
ejpam-6090	54	13	)	)	PUNCT
ejpam-6090	54	14	,	,	PUNCT
ejpam-6090	54	15	6090	6090	NUM
ejpam-6090	54	16	3	3	NUM
ejpam-6090	54	17	of	of	ADP
ejpam-6090	54	18	13	13	NUM
ejpam-6090	54	19	•	•	NOUN
ejpam-6090	54	20	we	we	PRON
ejpam-6090	54	21	develop	develop	VERB
ejpam-6090	54	22	a	a	DET
ejpam-6090	54	23	unified	unified	ADJ
ejpam-6090	54	24	framework	framework	NOUN
ejpam-6090	54	25	for	for	ADP
ejpam-6090	54	26	analyzing	analyze	VERB
ejpam-6090	54	27	the	the	DET
ejpam-6090	54	28	exponential	exponential	ADJ
ejpam-6090	54	29	stability	stability	NOUN
ejpam-6090	54	30	of	of	ADP
ejpam-6090	54	31	volterra	volterra	PROPN
ejpam-6090	54	32	integro	integro	PROPN
ejpam-6090	54	33	-	-	PUNCT
ejpam-6090	54	34	dynamic	dynamic	ADJ
ejpam-6090	54	35	sylvester	sylvester	NOUN
ejpam-6090	54	36	matrix	matrix	NOUN
ejpam-6090	54	37	systems	system	NOUN
ejpam-6090	54	38	on	on	ADP
ejpam-6090	54	39	arbitrary	arbitrary	ADJ
ejpam-6090	54	40	time	time	NOUN
ejpam-6090	54	41	scales	scale	NOUN
ejpam-6090	54	42	.	.	PUNCT
ejpam-6090	55	1	•	•	ADV
ejpam-6090	55	2	we	we	PRON
ejpam-6090	55	3	transform	transform	VERB
ejpam-6090	55	4	the	the	DET
ejpam-6090	55	5	original	original	ADJ
ejpam-6090	55	6	matrix	matrix	NOUN
ejpam-6090	55	7	system	system	NOUN
ejpam-6090	55	8	into	into	ADP
ejpam-6090	55	9	an	an	DET
ejpam-6090	55	10	equivalent	equivalent	ADJ
ejpam-6090	55	11	kronecker	kronecker	NOUN
ejpam-6090	55	12	product	product	NOUN
ejpam-6090	55	13	formulation	formulation	NOUN
ejpam-6090	55	14	using	use	VERB
ejpam-6090	55	15	vectorization	vectorization	NOUN
ejpam-6090	55	16	,	,	PUNCT
ejpam-6090	55	17	enabling	enable	VERB
ejpam-6090	55	18	efficient	efficient	ADJ
ejpam-6090	55	19	analysis	analysis	NOUN
ejpam-6090	55	20	.	.	PUNCT
ejpam-6090	56	1	•	•	INTJ
ejpam-6090	56	2	we	we	PRON
ejpam-6090	56	3	establish	establish	VERB
ejpam-6090	56	4	rigorous	rigorous	ADJ
ejpam-6090	56	5	conditions	condition	NOUN
ejpam-6090	56	6	for	for	ADP
ejpam-6090	56	7	the	the	DET
ejpam-6090	56	8	boundedness	boundedness	NOUN
ejpam-6090	56	9	and	and	CCONJ
ejpam-6090	56	10	exponential	exponential	ADJ
ejpam-6090	56	11	stability	stability	NOUN
ejpam-6090	56	12	of	of	ADP
ejpam-6090	56	13	solutions	solution	NOUN
ejpam-6090	56	14	,	,	PUNCT
ejpam-6090	56	15	ensuring	ensure	VERB
ejpam-6090	56	16	mathematical	mathematical	ADJ
ejpam-6090	56	17	consistency	consistency	NOUN
ejpam-6090	56	18	across	across	ADP
ejpam-6090	56	19	all	all	DET
ejpam-6090	56	20	time	time	NOUN
ejpam-6090	56	21	domains	domain	NOUN
ejpam-6090	56	22	.	.	PUNCT
ejpam-6090	57	1	•	•	NUM
ejpam-6090	57	2	we	we	PRON
ejpam-6090	57	3	extend	extend	VERB
ejpam-6090	57	4	and	and	CCONJ
ejpam-6090	57	5	generalize	generalize	VERB
ejpam-6090	57	6	classical	classical	ADJ
ejpam-6090	57	7	results	result	NOUN
ejpam-6090	57	8	for	for	ADP
ejpam-6090	57	9	both	both	CCONJ
ejpam-6090	57	10	discrete	discrete	ADJ
ejpam-6090	57	11	and	and	CCONJ
ejpam-6090	57	12	continuous	continuous	ADJ
ejpam-6090	57	13	volterra	volterra	NOUN
ejpam-6090	57	14	systems	system	NOUN
ejpam-6090	57	15	within	within	ADP
ejpam-6090	57	16	a	a	DET
ejpam-6090	57	17	single	single	ADJ
ejpam-6090	57	18	theoretical	theoretical	ADJ
ejpam-6090	57	19	structure	structure	NOUN
ejpam-6090	57	20	.	.	PUNCT
ejpam-6090	58	1	•	•	INTJ
ejpam-6090	58	2	we	we	PRON
ejpam-6090	58	3	validate	validate	VERB
ejpam-6090	58	4	the	the	DET
ejpam-6090	58	5	theoretical	theoretical	ADJ
ejpam-6090	58	6	results	result	NOUN
ejpam-6090	58	7	through	through	ADP
ejpam-6090	58	8	numerical	numerical	ADJ
ejpam-6090	58	9	examples	example	NOUN
ejpam-6090	58	10	and	and	CCONJ
ejpam-6090	58	11	comparative	comparative	ADJ
ejpam-6090	58	12	graphical	graphical	ADJ
ejpam-6090	58	13	illustrations	illustration	NOUN
ejpam-6090	58	14	on	on	ADP
ejpam-6090	58	15	various	various	ADJ
ejpam-6090	58	16	time	time	NOUN
ejpam-6090	58	17	scales	scale	NOUN
ejpam-6090	58	18	.	.	PUNCT
ejpam-6090	59	1	2	2	X
ejpam-6090	59	2	.	.	X
ejpam-6090	59	3	preliminaries	preliminary	NOUN
ejpam-6090	59	4	in	in	ADP
ejpam-6090	59	5	this	this	DET
ejpam-6090	59	6	section	section	NOUN
ejpam-6090	59	7	,	,	PUNCT
ejpam-6090	59	8	we	we	PRON
ejpam-6090	59	9	will	will	AUX
ejpam-6090	59	10	provide	provide	VERB
ejpam-6090	59	11	the	the	DET
ejpam-6090	59	12	essential	essential	ADJ
ejpam-6090	59	13	definitions	definition	NOUN
ejpam-6090	59	14	and	and	CCONJ
ejpam-6090	59	15	key	key	ADJ
ejpam-6090	59	16	concepts	concept	NOUN
ejpam-6090	59	17	of	of	ADP
ejpam-6090	59	18	the	the	DET
ejpam-6090	59	19	calculus	calculus	NOUN
ejpam-6090	59	20	of	of	ADP
ejpam-6090	59	21	time	time	NOUN
ejpam-6090	59	22	scales	scale	NOUN
ejpam-6090	59	23	.	.	PUNCT
ejpam-6090	60	1	these	these	DET
ejpam-6090	60	2	notions	notion	NOUN
ejpam-6090	60	3	serve	serve	VERB
ejpam-6090	60	4	as	as	ADP
ejpam-6090	60	5	the	the	DET
ejpam-6090	60	6	foundation	foundation	NOUN
ejpam-6090	60	7	for	for	ADP
ejpam-6090	60	8	the	the	DET
ejpam-6090	60	9	analysis	analysis	NOUN
ejpam-6090	60	10	of	of	ADP
ejpam-6090	60	11	dynamic	dynamic	ADJ
ejpam-6090	60	12	systems	system	NOUN
ejpam-6090	60	13	on	on	ADP
ejpam-6090	60	14	time	time	NOUN
ejpam-6090	60	15	scales	scale	NOUN
ejpam-6090	60	16	,	,	PUNCT
ejpam-6090	60	17	as	as	SCONJ
ejpam-6090	60	18	stated	state	VERB
ejpam-6090	60	19	in	in	ADP
ejpam-6090	60	20	the	the	DET
ejpam-6090	60	21	references	reference	NOUN
ejpam-6090	60	22	[	[	X
ejpam-6090	60	23	1	1	NUM
ejpam-6090	60	24	,	,	PUNCT
ejpam-6090	60	25	2	2	NUM
ejpam-6090	60	26	]	]	PUNCT
ejpam-6090	60	27	respectively	respectively	ADV
ejpam-6090	60	28	.	.	PUNCT
ejpam-6090	61	1	definition	definition	NOUN
ejpam-6090	61	2	1	1	NUM
ejpam-6090	61	3	.	.	PUNCT
ejpam-6090	62	1	[	[	X
ejpam-6090	62	2	2	2	X
ejpam-6090	62	3	]	]	PUNCT
ejpam-6090	62	4	a	a	DET
ejpam-6090	62	5	closed	closed	ADJ
ejpam-6090	62	6	subset	subset	NOUN
ejpam-6090	62	7	of	of	ADP
ejpam-6090	62	8	r	r	NOUN
ejpam-6090	62	9	that	that	PRON
ejpam-6090	62	10	takes	take	VERB
ejpam-6090	62	11	its	its	PRON
ejpam-6090	62	12	topology	topology	NOUN
ejpam-6090	62	13	from	from	ADP
ejpam-6090	62	14	the	the	DET
ejpam-6090	62	15	normal	normal	ADJ
ejpam-6090	62	16	topology	topology	NOUN
ejpam-6090	62	17	of	of	ADP
ejpam-6090	62	18	r	r	NOUN
ejpam-6090	62	19	is	be	AUX
ejpam-6090	62	20	called	call	VERB
ejpam-6090	62	21	a	a	DET
ejpam-6090	62	22	time	time	NOUN
ejpam-6090	62	23	scale	scale	NOUN
ejpam-6090	62	24	t.	t.	PROPN
ejpam-6090	62	25	the	the	DET
ejpam-6090	62	26	backward	backward	ADJ
ejpam-6090	62	27	jump	jump	NOUN
ejpam-6090	62	28	operator	operator	NOUN
ejpam-6090	62	29	is	be	AUX
ejpam-6090	62	30	the	the	DET
ejpam-6090	62	31	mapping	mapping	NOUN
ejpam-6090	62	32	ρ	ρ	NOUN
ejpam-6090	62	33	:	:	PUNCT
ejpam-6090	62	34	t	t	PROPN
ejpam-6090	62	35	→	→	SYM
ejpam-6090	62	36	t	t	PROPN
ejpam-6090	62	37	,	,	PUNCT
ejpam-6090	62	38	which	which	PRON
ejpam-6090	62	39	is	be	AUX
ejpam-6090	62	40	defined	define	VERB
ejpam-6090	62	41	as	as	ADP
ejpam-6090	62	42	ρ(ι	ρ(ι	NOUN
ejpam-6090	62	43	)	)	PUNCT
ejpam-6090	63	1	=	=	PUNCT
ejpam-6090	63	2	sup{υ	sup{υ	PROPN
ejpam-6090	63	3	∈	∈	PROPN
ejpam-6090	63	4	t	t	NOUN
ejpam-6090	63	5	:	:	PUNCT
ejpam-6090	63	6	υ	υ	X
ejpam-6090	63	7	<	<	X
ejpam-6090	63	8	ι	ι	X
ejpam-6090	63	9	}	}	PUNCT
ejpam-6090	63	10	,	,	PUNCT
ejpam-6090	63	11	with	with	ADP
ejpam-6090	63	12	supϕ	supϕ	PROPN
ejpam-6090	63	13	=	=	SYM
ejpam-6090	63	14	inf	inf	PROPN
ejpam-6090	63	15	t.the	t.the	DET
ejpam-6090	63	16	condition	condition	NOUN
ejpam-6090	63	17	that	that	SCONJ
ejpam-6090	63	18	ρ(ι	ρ(ι	PROPN
ejpam-6090	63	19	)	)	PUNCT
ejpam-6090	64	1	=	=	SYM
ejpam-6090	64	2	ι	ι	PROPN
ejpam-6090	64	3	and	and	CCONJ
ejpam-6090	64	4	ι	ι	X
ejpam-6090	64	5	>	>	X
ejpam-6090	64	6	inf	inf	PROPN
ejpam-6090	64	7	t	t	PROPN
ejpam-6090	64	8	must	must	AUX
ejpam-6090	64	9	be	be	AUX
ejpam-6090	64	10	met	meet	VERB
ejpam-6090	64	11	for	for	ADP
ejpam-6090	64	12	a	a	DET
ejpam-6090	64	13	point	point	NOUN
ejpam-6090	64	14	ι	ι	X
ejpam-6090	64	15	∈	∈	PROPN
ejpam-6090	64	16	t	t	PROPN
ejpam-6090	64	17	to	to	PART
ejpam-6090	64	18	be	be	AUX
ejpam-6090	64	19	declared	declare	VERB
ejpam-6090	64	20	left	left	ADJ
ejpam-6090	64	21	-	-	PUNCT
ejpam-6090	64	22	dense	dense	ADJ
ejpam-6090	64	23	.	.	PUNCT
ejpam-6090	65	1	on	on	ADP
ejpam-6090	65	2	the	the	DET
ejpam-6090	65	3	other	other	ADJ
ejpam-6090	65	4	side	side	NOUN
ejpam-6090	65	5	,	,	PUNCT
ejpam-6090	65	6	ι	ι	PROPN
ejpam-6090	65	7	is	be	AUX
ejpam-6090	65	8	considered	consider	VERB
ejpam-6090	65	9	left	left	ADJ
ejpam-6090	65	10	-	-	PUNCT
ejpam-6090	65	11	scattered	scatter	VERB
ejpam-6090	65	12	if	if	SCONJ
ejpam-6090	65	13	and	and	CCONJ
ejpam-6090	65	14	only	only	ADV
ejpam-6090	65	15	if	if	SCONJ
ejpam-6090	65	16	ρ(ι	ρ(ι	NOUN
ejpam-6090	65	17	)	)	PUNCT
ejpam-6090	65	18	<	<	X
ejpam-6090	66	1	ι	ι	X
ejpam-6090	66	2	.	.	PUNCT
ejpam-6090	67	1	in	in	ADP
ejpam-6090	67	2	a	a	DET
ejpam-6090	67	3	similar	similar	ADJ
ejpam-6090	67	4	vein	vein	NOUN
ejpam-6090	67	5	,	,	PUNCT
ejpam-6090	67	6	the	the	DET
ejpam-6090	67	7	ideas	idea	NOUN
ejpam-6090	67	8	of	of	ADP
ejpam-6090	67	9	right	right	ADV
ejpam-6090	67	10	-	-	PUNCT
ejpam-6090	67	11	scattered	scatter	VERB
ejpam-6090	67	12	and	and	CCONJ
ejpam-6090	67	13	right	right	ADJ
ejpam-6090	67	14	-	-	PUNCT
ejpam-6090	67	15	dense	dense	ADJ
ejpam-6090	67	16	points	point	NOUN
ejpam-6090	67	17	are	be	AUX
ejpam-6090	67	18	defined	define	VERB
ejpam-6090	67	19	,	,	PUNCT
ejpam-6090	67	20	as	as	SCONJ
ejpam-6090	67	21	is	be	AUX
ejpam-6090	67	22	the	the	DET
ejpam-6090	67	23	forward	forward	ADJ
ejpam-6090	67	24	leap	leap	NOUN
ejpam-6090	67	25	operator	operator	NOUN
ejpam-6090	67	26	,	,	PUNCT
ejpam-6090	67	27	σ	σ	PROPN
ejpam-6090	67	28	.	.	PUNCT
ejpam-6090	68	1	the	the	DET
ejpam-6090	68	2	graininess	graininess	NOUN
ejpam-6090	68	3	function	function	NOUN
ejpam-6090	68	4	is	be	AUX
ejpam-6090	68	5	defined	define	VERB
ejpam-6090	68	6	as	as	ADP
ejpam-6090	68	7	the	the	DET
ejpam-6090	68	8	function	function	NOUN
ejpam-6090	68	9	µ	µ	X
ejpam-6090	68	10	:	:	PUNCT
ejpam-6090	68	11	t	t	PROPN
ejpam-6090	68	12	→	→	PUNCT
ejpam-6090	69	1	[	[	X
ejpam-6090	69	2	0,∞	0,∞	NOUN
ejpam-6090	69	3	)	)	PUNCT
ejpam-6090	69	4	where	where	SCONJ
ejpam-6090	69	5	µ(ι	µ(ι	NOUN
ejpam-6090	69	6	)	)	PUNCT
ejpam-6090	69	7	=	=	SYM
ejpam-6090	69	8	σ(ι	σ(ι	NOUN
ejpam-6090	69	9	)	)	PUNCT
ejpam-6090	69	10	−	−	PROPN
ejpam-6090	69	11	ι	ι	PROPN
ejpam-6090	69	12	.	.	PUNCT
ejpam-6090	69	13	definition	definition	NOUN
ejpam-6090	69	14	2	2	NUM
ejpam-6090	69	15	.	.	PUNCT
ejpam-6090	70	1	[	[	X
ejpam-6090	70	2	2	2	X
ejpam-6090	70	3	]	]	PUNCT
ejpam-6090	70	4	the	the	DET
ejpam-6090	70	5	number	number	NOUN
ejpam-6090	70	6	that	that	PRON
ejpam-6090	70	7	satisfies	satisfy	VERB
ejpam-6090	70	8	the	the	DET
ejpam-6090	70	9	following	follow	VERB
ejpam-6090	70	10	criteria	criterion	NOUN
ejpam-6090	70	11	for	for	ADP
ejpam-6090	70	12	any	any	DET
ejpam-6090	70	13	ϵ	ϵ	X
ejpam-6090	70	14	>	>	X
ejpam-6090	70	15	0	0	NUM
ejpam-6090	70	16	:	:	PUNCT
ejpam-6090	70	17	there	there	PRON
ejpam-6090	70	18	exists	exist	VERB
ejpam-6090	70	19	a	a	DET
ejpam-6090	70	20	neighborhood	neighborhood	NOUN
ejpam-6090	70	21	u	u	NOUN
ejpam-6090	70	22	about	about	ADP
ejpam-6090	70	23	ι	ι	PROPN
ejpam-6090	70	24	that	that	PRON
ejpam-6090	70	25	is	be	AUX
ejpam-6090	70	26	defined	define	VERB
ejpam-6090	70	27	as	as	ADP
ejpam-6090	70	28	the	the	DET
ejpam-6090	70	29	delta	delta	NOUN
ejpam-6090	70	30	derivative	derivative	NOUN
ejpam-6090	70	31	of	of	ADP
ejpam-6090	70	32	function	function	NOUN
ejpam-6090	70	33	g	g	NOUN
ejpam-6090	70	34	at	at	ADP
ejpam-6090	70	35	a	a	DET
ejpam-6090	70	36	given	give	VERB
ejpam-6090	70	37	point	point	NOUN
ejpam-6090	70	38	ι	ι	PROPN
ejpam-6090	70	39	,	,	PUNCT
ejpam-6090	70	40	g∆(ι	g∆(ι	NOUN
ejpam-6090	70	41	)	)	PUNCT
ejpam-6090	70	42	.	.	PUNCT
ejpam-6090	71	1	|	|	ADV
ejpam-6090	71	2	[	[	X
ejpam-6090	71	3	g(σ(ι	g(σ(ι	PROPN
ejpam-6090	71	4	)	)	PUNCT
ejpam-6090	71	5	)	)	PUNCT
ejpam-6090	72	1	−	−	PROPN
ejpam-6090	73	1	g(υ	g(υ	NOUN
ejpam-6090	73	2	)	)	PUNCT
ejpam-6090	73	3	]	]	PUNCT
ejpam-6090	74	1	−	−	PROPN
ejpam-6090	74	2	g∆(ι)[σ(ι	g∆(ι)[σ(ι	NOUN
ejpam-6090	74	3	)	)	PUNCT
ejpam-6090	74	4	−	−	PROPN
ejpam-6090	75	1	υ	υ	NOUN
ejpam-6090	75	2	]	]	X
ejpam-6090	75	3	|≤	|≤	PROPN
ejpam-6090	75	4	ϵ	ϵ	X
ejpam-6090	75	5	|	|	NOUN
ejpam-6090	75	6	σ(ι	σ(ι	NOUN
ejpam-6090	75	7	)	)	PUNCT
ejpam-6090	75	8	−	−	NOUN
ejpam-6090	76	1	υ	υ	NOUN
ejpam-6090	76	2	|	|	ADV
ejpam-6090	76	3	,	,	PUNCT
ejpam-6090	76	4	∀υ	∀υ	X
ejpam-6090	76	5	∈	∈	PROPN
ejpam-6090	76	6	u.	u.	VERB
ejpam-6090	76	7	a	a	DET
ejpam-6090	76	8	function	function	NOUN
ejpam-6090	76	9	g	g	NOUN
ejpam-6090	76	10	is	be	AUX
ejpam-6090	76	11	considered	consider	VERB
ejpam-6090	76	12	delta	delta	NOUN
ejpam-6090	76	13	differentiable	differentiable	VERB
ejpam-6090	76	14	on	on	ADP
ejpam-6090	76	15	tk	tk	PROPN
ejpam-6090	76	16	if	if	SCONJ
ejpam-6090	76	17	g∆(ι	g∆(ι	NOUN
ejpam-6090	76	18	)	)	PUNCT
ejpam-6090	76	19	exists	exist	VERB
ejpam-6090	76	20	for	for	ADP
ejpam-6090	76	21	every	every	DET
ejpam-6090	76	22	ι	ι	PROPN
ejpam-6090	76	23	∈	∈	PROPN
ejpam-6090	76	24	tk	tk	PROPN
ejpam-6090	76	25	.	.	PUNCT
ejpam-6090	76	26	consequently	consequently	ADV
ejpam-6090	76	27	,	,	PUNCT
ejpam-6090	76	28	the	the	DET
ejpam-6090	76	29	function	function	NOUN
ejpam-6090	76	30	g∆	g∆	PROPN
ejpam-6090	76	31	:	:	PUNCT
ejpam-6090	76	32	tk	tk	PROPN
ejpam-6090	76	33	→	→	SYM
ejpam-6090	76	34	r	r	NOUN
ejpam-6090	76	35	is	be	AUX
ejpam-6090	76	36	referred	refer	VERB
ejpam-6090	76	37	to	to	ADP
ejpam-6090	76	38	as	as	ADP
ejpam-6090	76	39	the	the	DET
ejpam-6090	76	40	derivative	derivative	NOUN
ejpam-6090	76	41	of	of	ADP
ejpam-6090	76	42	f	f	PROPN
ejpam-6090	76	43	on	on	ADP
ejpam-6090	76	44	tk	tk	PROPN
ejpam-6090	76	45	.	.	PROPN
ejpam-6090	77	1	at	at	ADP
ejpam-6090	77	2	each	each	DET
ejpam-6090	77	3	right	right	ADJ
ejpam-6090	77	4	-	-	PUNCT
ejpam-6090	77	5	dense	dense	ADJ
ejpam-6090	77	6	point	point	NOUN
ejpam-6090	77	7	in	in	ADP
ejpam-6090	77	8	t	t	PROPN
ejpam-6090	77	9	,	,	PUNCT
ejpam-6090	77	10	a	a	DET
ejpam-6090	77	11	function	function	NOUN
ejpam-6090	77	12	g	g	NOUN
ejpam-6090	77	13	:	:	PUNCT
ejpam-6090	77	14	t	t	PROPN
ejpam-6090	77	15	→	→	SYM
ejpam-6090	77	16	r	r	NOUN
ejpam-6090	77	17	is	be	AUX
ejpam-6090	77	18	considered	consider	VERB
ejpam-6090	77	19	rd	rd	NOUN
ejpam-6090	77	20	-	-	ADJ
ejpam-6090	77	21	continuous	continuous	ADJ
ejpam-6090	77	22	if	if	SCONJ
ejpam-6090	78	1	and	and	CCONJ
ejpam-6090	78	2	only	only	ADV
ejpam-6090	78	3	if	if	SCONJ
ejpam-6090	78	4	it	it	PRON
ejpam-6090	78	5	has	have	AUX
ejpam-6090	78	6	a	a	DET
ejpam-6090	78	7	finite	finite	ADJ
ejpam-6090	78	8	left	left	ADV
ejpam-6090	78	9	-	-	PUNCT
ejpam-6090	78	10	sided	sided	ADJ
ejpam-6090	78	11	limit	limit	NOUN
ejpam-6090	78	12	at	at	ADP
ejpam-6090	78	13	each	each	DET
ejpam-6090	78	14	left	left	ADJ
ejpam-6090	78	15	-	-	PUNCT
ejpam-6090	78	16	dense	dense	ADJ
ejpam-6090	78	17	point	point	NOUN
ejpam-6090	78	18	in	in	ADP
ejpam-6090	78	19	t.	t.	NOUN
ejpam-6090	78	20	what	what	PRON
ejpam-6090	78	21	we	we	PRON
ejpam-6090	78	22	call	call	VERB
ejpam-6090	78	23	crd(t	crd(t	PROPN
ejpam-6090	78	24	,	,	PUNCT
ejpam-6090	78	25	r	r	NOUN
ejpam-6090	78	26	)	)	PUNCT
ejpam-6090	78	27	is	be	AUX
ejpam-6090	78	28	actually	actually	ADV
ejpam-6090	78	29	a	a	DET
ejpam-6090	78	30	collection	collection	NOUN
ejpam-6090	78	31	of	of	ADP
ejpam-6090	78	32	rd	rd	NOUN
ejpam-6090	78	33	-	-	ADJ
ejpam-6090	78	34	continuous	continuous	ADJ
ejpam-6090	78	35	functions	function	NOUN
ejpam-6090	78	36	.	.	PUNCT
ejpam-6090	79	1	moreover	moreover	ADV
ejpam-6090	79	2	,	,	PUNCT
ejpam-6090	79	3	for	for	ADP
ejpam-6090	79	4	any	any	DET
ejpam-6090	79	5	t	t	PROPN
ejpam-6090	79	6	∈	∈	PROPN
ejpam-6090	79	7	tk	tk	PROPN
ejpam-6090	79	8	,	,	PUNCT
ejpam-6090	79	9	the	the	DET
ejpam-6090	79	10	condition	condition	NOUN
ejpam-6090	79	11	g∆	g∆	NOUN
ejpam-6090	79	12	=	=	SYM
ejpam-6090	79	13	g	g	NOUN
ejpam-6090	79	14	must	must	AUX
ejpam-6090	79	15	hold	hold	VERB
ejpam-6090	79	16	for	for	ADP
ejpam-6090	79	17	g	g	PROPN
ejpam-6090	79	18	:	:	PUNCT
ejpam-6090	79	19	t	t	PROPN
ejpam-6090	79	20	→	→	SYM
ejpam-6090	79	21	r	r	NOUN
ejpam-6090	79	22	to	to	PART
ejpam-6090	79	23	be	be	AUX
ejpam-6090	79	24	defined	define	VERB
ejpam-6090	79	25	as	as	ADP
ejpam-6090	79	26	an	an	DET
ejpam-6090	79	27	anti	anti	ADJ
ejpam-6090	79	28	-	-	ADJ
ejpam-6090	79	29	derivative	derivative	ADJ
ejpam-6090	79	30	of	of	ADP
ejpam-6090	79	31	f	f	PROPN
ejpam-6090	79	32	:	:	PUNCT
ejpam-6090	79	33	t	t	PROPN
ejpam-6090	79	34	→	→	PUNCT
ejpam-6090	79	35	r.	r.	PROPN
ejpam-6090	79	36	the	the	DET
ejpam-6090	79	37	anti	anti	ADJ
ejpam-6090	79	38	-	-	ADJ
ejpam-6090	79	39	derivative	derivative	ADJ
ejpam-6090	79	40	of	of	ADP
ejpam-6090	79	41	a	a	DET
ejpam-6090	79	42	rd	rd	NOUN
ejpam-6090	79	43	-	-	ADJ
ejpam-6090	79	44	continuous	continuous	ADJ
ejpam-6090	79	45	function	function	NOUN
ejpam-6090	79	46	must	must	AUX
ejpam-6090	79	47	be	be	AUX
ejpam-6090	79	48	remembered	remember	VERB
ejpam-6090	79	49	.	.	PUNCT
ejpam-6090	80	1	definition	definition	NOUN
ejpam-6090	80	2	3	3	NUM
ejpam-6090	80	3	.	.	PUNCT
ejpam-6090	81	1	[	[	X
ejpam-6090	81	2	2	2	X
ejpam-6090	81	3	]	]	PUNCT
ejpam-6090	81	4	let	let	VERB
ejpam-6090	81	5	g	g	PRON
ejpam-6090	81	6	be	be	AUX
ejpam-6090	81	7	an	an	DET
ejpam-6090	81	8	anti	anti	ADJ
ejpam-6090	81	9	-	-	ADJ
ejpam-6090	81	10	derivative	derivative	ADJ
ejpam-6090	81	11	of	of	ADP
ejpam-6090	81	12	g	g	PROPN
ejpam-6090	81	13	and	and	CCONJ
ejpam-6090	81	14	υ	υ	PROPN
ejpam-6090	81	15	,	,	PUNCT
ejpam-6090	81	16	ι	ι	PROPN
ejpam-6090	81	17	∈	∈	PROPN
ejpam-6090	81	18	t.	t.	NOUN
ejpam-6090	81	19	the	the	DET
ejpam-6090	81	20	delta	delta	NOUN
ejpam-6090	81	21	integral	integral	ADJ
ejpam-6090	81	22	of	of	ADP
ejpam-6090	81	23	g	g	PROPN
ejpam-6090	81	24	is	be	AUX
ejpam-6090	81	25	defined	define	VERB
ejpam-6090	81	26	as	as	SCONJ
ejpam-6090	81	27	follows	follow	VERB
ejpam-6090	81	28	:	:	PUNCT
ejpam-6090	81	29	∫	∫	PROPN
ejpam-6090	81	30	b	b	PROPN
ejpam-6090	81	31	a	a	DET
ejpam-6090	81	32	g(ι)∆ι	g(ι)∆ι	NOUN
ejpam-6090	81	33	=	=	SYM
ejpam-6090	81	34	g(b	g(b	X
ejpam-6090	81	35	)	)	PUNCT
ejpam-6090	81	36	−g(a	−g(a	PROPN
ejpam-6090	81	37	)	)	PUNCT
ejpam-6090	81	38	.	.	PUNCT
ejpam-6090	82	1	ch	ch	PROPN
ejpam-6090	82	2	.	.	PUNCT
ejpam-6090	82	3	harisha	harisha	PROPN
ejpam-6090	82	4	,	,	PUNCT
ejpam-6090	82	5	b.	b.	PROPN
ejpam-6090	82	6	v.	v.	ADP
ejpam-6090	82	7	appa	appa	PROPN
ejpam-6090	82	8	rao	rao	PROPN
ejpam-6090	82	9	,	,	PUNCT
ejpam-6090	82	10	a.	a.	PROPN
ejpam-6090	82	11	sreenivasulu	sreenivasulu	PROPN
ejpam-6090	82	12	/	/	SYM
ejpam-6090	82	13	eur	eur	PROPN
ejpam-6090	82	14	.	.	PUNCT
ejpam-6090	83	1	j.	j.	PROPN
ejpam-6090	83	2	pure	pure	PROPN
ejpam-6090	83	3	appl	appl	PROPN
ejpam-6090	83	4	.	.	PROPN
ejpam-6090	83	5	math	math	PROPN
ejpam-6090	83	6	,	,	PUNCT
ejpam-6090	83	7	18	18	NUM
ejpam-6090	83	8	(	(	PUNCT
ejpam-6090	83	9	2	2	NUM
ejpam-6090	83	10	)	)	PUNCT
ejpam-6090	83	11	(	(	PUNCT
ejpam-6090	83	12	2025	2025	NUM
ejpam-6090	83	13	)	)	PUNCT
ejpam-6090	83	14	,	,	PUNCT
ejpam-6090	83	15	6090	6090	NUM
ejpam-6090	83	16	4	4	NUM
ejpam-6090	83	17	of	of	ADP
ejpam-6090	83	18	13	13	NUM
ejpam-6090	83	19	definition	definition	NOUN
ejpam-6090	83	20	4	4	NUM
ejpam-6090	83	21	.	.	PUNCT
ejpam-6090	84	1	[	[	X
ejpam-6090	84	2	2	2	NUM
ejpam-6090	84	3	]	]	X
ejpam-6090	84	4	regressive	regressive	ADJ
ejpam-6090	84	5	functions	function	NOUN
ejpam-6090	84	6	are	be	AUX
ejpam-6090	84	7	defined	define	VERB
ejpam-6090	84	8	as	as	ADP
ejpam-6090	84	9	those	those	PRON
ejpam-6090	84	10	that	that	PRON
ejpam-6090	84	11	map	map	NOUN
ejpam-6090	84	12	t	t	NOUN
ejpam-6090	84	13	→	→	SYM
ejpam-6090	84	14	r	r	NOUN
ejpam-6090	84	15	and	and	CCONJ
ejpam-6090	84	16	satisfy	satisfy	VERB
ejpam-6090	84	17	the	the	DET
ejpam-6090	84	18	condition	condition	NOUN
ejpam-6090	84	19	that	that	SCONJ
ejpam-6090	84	20	1	1	NUM
ejpam-6090	84	21	+	+	NUM
ejpam-6090	84	22	µ(ι)m(ι	µ(ι)m(ι	NOUN
ejpam-6090	84	23	)	)	PUNCT
ejpam-6090	84	24	̸=	̸=	PROPN
ejpam-6090	84	25	0	0	NUM
ejpam-6090	84	26	,	,	PUNCT
ejpam-6090	84	27	∀ι	∀ι	ADP
ejpam-6090	84	28	∈	∈	PROPN
ejpam-6090	84	29	t.	t.	PROPN
ejpam-6090	84	30	regressive	regressive	ADJ
ejpam-6090	84	31	functions	function	NOUN
ejpam-6090	84	32	are	be	AUX
ejpam-6090	84	33	aggregated	aggregate	VERB
ejpam-6090	84	34	by	by	ADP
ejpam-6090	84	35	the	the	DET
ejpam-6090	84	36	right	right	ADJ
ejpam-6090	84	37	dense	dense	ADJ
ejpam-6090	84	38	continuous	continuous	ADJ
ejpam-6090	84	39	function	function	NOUN
ejpam-6090	84	40	r	r	NOUN
ejpam-6090	84	41	=	=	SYM
ejpam-6090	84	42	r(ι	r(ι	PROPN
ejpam-6090	84	43	)	)	PUNCT
ejpam-6090	85	1	=	=	SYM
ejpam-6090	85	2	r(t	r(t	NOUN
ejpam-6090	85	3	,	,	PUNCT
ejpam-6090	85	4	r	r	NOUN
ejpam-6090	85	5	)	)	PUNCT
ejpam-6090	85	6	.	.	PUNCT
ejpam-6090	86	1	similarly	similarly	ADV
ejpam-6090	86	2	,	,	PUNCT
ejpam-6090	86	3	all	all	DET
ejpam-6090	86	4	positively	positively	ADV
ejpam-6090	86	5	regressive	regressive	ADJ
ejpam-6090	86	6	functions	function	NOUN
ejpam-6090	86	7	are	be	AUX
ejpam-6090	86	8	contained	contain	VERB
ejpam-6090	86	9	in	in	ADP
ejpam-6090	86	10	r+	r+	NOUN
ejpam-6090	86	11	=	=	SYM
ejpam-6090	86	12	r+(t	r+(t	NOUN
ejpam-6090	86	13	,	,	PUNCT
ejpam-6090	86	14	r	r	NOUN
ejpam-6090	86	15	)	)	PUNCT
ejpam-6090	86	16	=	=	PRON
ejpam-6090	86	17	{	{	PUNCT
ejpam-6090	86	18	m	m	VERB
ejpam-6090	86	19	∈	∈	NOUN
ejpam-6090	86	20	r	r	NOUN
ejpam-6090	86	21	:	:	PUNCT
ejpam-6090	86	22	1	1	NUM
ejpam-6090	86	23	+	+	NUM
ejpam-6090	86	24	µ(ι)m(ι	µ(ι)m(ι	ADP
ejpam-6090	86	25	)	)	PUNCT
ejpam-6090	86	26	>	>	X
ejpam-6090	87	1	0,∀ι	0,∀ι	PUNCT
ejpam-6090	87	2	∈	∈	PROPN
ejpam-6090	87	3	t	t	PROPN
ejpam-6090	87	4	}	}	PUNCT
ejpam-6090	87	5	.	.	PUNCT
ejpam-6090	88	1	remark	remark	NOUN
ejpam-6090	88	2	1	1	NUM
ejpam-6090	88	3	.	.	PUNCT
ejpam-6090	89	1	let	let	VERB
ejpam-6090	89	2	p	p	PRON
ejpam-6090	89	3	∈	∈	PROPN
ejpam-6090	89	4	r	r	NOUN
ejpam-6090	89	5	and	and	CCONJ
ejpam-6090	89	6	p	p	NOUN
ejpam-6090	89	7	(	(	PUNCT
ejpam-6090	89	8	ι	ι	PROPN
ejpam-6090	89	9	)	)	PUNCT
ejpam-6090	89	10	<	<	X
ejpam-6090	90	1	0,∀ι	0,∀ι	PUNCT
ejpam-6090	90	2	∈	∈	NOUN
ejpam-6090	90	3	t.	t.	NOUN
ejpam-6090	90	4	all	all	PRON
ejpam-6090	90	5	of	of	ADP
ejpam-6090	90	6	the	the	DET
ejpam-6090	90	7	following	follow	VERB
ejpam-6090	90	8	assertions	assertion	NOUN
ejpam-6090	90	9	are	be	AUX
ejpam-6090	90	10	supported	support	VERB
ejpam-6090	90	11	by	by	ADP
ejpam-6090	90	12	evidence	evidence	NOUN
ejpam-6090	90	13	:	:	PUNCT
ejpam-6090	90	14	a	a	DET
ejpam-6090	90	15	declining	decline	VERB
ejpam-6090	90	16	behavior	behavior	NOUN
ejpam-6090	90	17	is	be	AUX
ejpam-6090	90	18	observed	observe	VERB
ejpam-6090	90	19	in	in	ADP
ejpam-6090	90	20	relation	relation	NOUN
ejpam-6090	90	21	to	to	ADP
ejpam-6090	90	22	the	the	DET
ejpam-6090	90	23	variable	variable	NOUN
ejpam-6090	90	24	ι	ι	ADP
ejpam-6090	90	25	when	when	SCONJ
ejpam-6090	90	26	the	the	DET
ejpam-6090	90	27	function	function	NOUN
ejpam-6090	90	28	ψp	ψp	NOUN
ejpam-6090	90	29	(	(	PUNCT
ejpam-6090	90	30	ι	ι	PROPN
ejpam-6090	90	31	,	,	PUNCT
ejpam-6090	90	32	υ	υ	NOUN
ejpam-6090	90	33	)	)	PUNCT
ejpam-6090	90	34	is	be	AUX
ejpam-6090	90	35	considered	consider	VERB
ejpam-6090	90	36	.	.	PUNCT
ejpam-6090	91	1	with	with	ADP
ejpam-6090	91	2	the	the	DET
ejpam-6090	91	3	context	context	NOUN
ejpam-6090	91	4	of	of	ADP
ejpam-6090	91	5	the	the	DET
ejpam-6090	91	6	variable	variable	ADJ
ejpam-6090	91	7	υ	υ	PROPN
ejpam-6090	91	8	,	,	PUNCT
ejpam-6090	91	9	the	the	DET
ejpam-6090	91	10	function	function	NOUN
ejpam-6090	91	11	ψp	ψp	NOUN
ejpam-6090	91	12	(	(	PUNCT
ejpam-6090	91	13	ι	ι	PROPN
ejpam-6090	91	14	,	,	PUNCT
ejpam-6090	91	15	υ	υ	NOUN
ejpam-6090	91	16	)	)	PUNCT
ejpam-6090	91	17	displays	display	VERB
ejpam-6090	91	18	a	a	DET
ejpam-6090	91	19	behavior	behavior	NOUN
ejpam-6090	91	20	that	that	PRON
ejpam-6090	91	21	is	be	AUX
ejpam-6090	91	22	growing	grow	VERB
ejpam-6090	91	23	in	in	ADP
ejpam-6090	91	24	nature	nature	NOUN
ejpam-6090	91	25	.	.	PUNCT
ejpam-6090	92	1	theorem	theorem	VERB
ejpam-6090	92	2	1	1	NUM
ejpam-6090	92	3	.	.	PUNCT
ejpam-6090	93	1	[	[	X
ejpam-6090	93	2	2	2	X
ejpam-6090	93	3	]	]	PUNCT
ejpam-6090	93	4	if	if	SCONJ
ejpam-6090	93	5	the	the	DET
ejpam-6090	93	6	variable	variable	NOUN
ejpam-6090	93	7	a	a	PRON
ejpam-6090	93	8	and	and	CCONJ
ejpam-6090	93	9	b	b	NOUN
ejpam-6090	93	10	belong	belong	VERB
ejpam-6090	93	11	the	the	DET
ejpam-6090	93	12	set	set	NOUN
ejpam-6090	93	13	t	t	NOUN
ejpam-6090	93	14	and	and	CCONJ
ejpam-6090	93	15	the	the	DET
ejpam-6090	93	16	function	function	NOUN
ejpam-6090	93	17	g	g	NOUN
ejpam-6090	93	18	:	:	PUNCT
ejpam-6090	93	19	t	t	PROPN
ejpam-6090	93	20	→	→	SYM
ejpam-6090	93	21	r	r	NOUN
ejpam-6090	93	22	is	be	AUX
ejpam-6090	93	23	a	a	DET
ejpam-6090	93	24	right	right	ADJ
ejpam-6090	93	25	-	-	PUNCT
ejpam-6090	93	26	continuous	continuous	ADJ
ejpam-6090	93	27	function	function	NOUN
ejpam-6090	93	28	that	that	SCONJ
ejpam-6090	93	29	satisfying	satisfy	VERB
ejpam-6090	93	30	the	the	DET
ejpam-6090	93	31	condition	condition	NOUN
ejpam-6090	93	32	g(ι	g(ι	PROPN
ejpam-6090	93	33	)	)	PUNCT
ejpam-6090	93	34	≥	≥	NOUN
ejpam-6090	93	35	0	0	NUM
ejpam-6090	93	36	,	,	PUNCT
ejpam-6090	93	37	for	for	ADP
ejpam-6090	93	38	all	all	DET
ejpam-6090	93	39	values	value	NOUN
ejpam-6090	93	40	of	of	ADP
ejpam-6090	93	41	that	that	DET
ejpam-6090	93	42	fall	fall	NOUN
ejpam-6090	93	43	within	within	ADP
ejpam-6090	93	44	the	the	DET
ejpam-6090	93	45	interval	interval	NOUN
ejpam-6090	93	46	a	a	DET
ejpam-6090	93	47	≤	≤	NOUN
ejpam-6090	93	48	ι	ι	PRON
ejpam-6090	93	49	≤	≤	NUM
ejpam-6090	93	50	b	b	NOUN
ejpam-6090	93	51	,	,	PUNCT
ejpam-6090	93	52	then	then	ADV
ejpam-6090	93	53	∫	∫	PROPN
ejpam-6090	93	54	b	b	PROPN
ejpam-6090	93	55	a	a	DET
ejpam-6090	93	56	g(ι)∆ι	g(ι)∆ι	NOUN
ejpam-6090	93	57	≥	≥	NOUN
ejpam-6090	93	58	0	0	NUM
ejpam-6090	93	59	.	.	NOUN
ejpam-6090	94	1	3	3	X
ejpam-6090	94	2	.	.	X
ejpam-6090	94	3	exponential	exponential	ADJ
ejpam-6090	94	4	stability	stability	NOUN
ejpam-6090	94	5	in	in	ADP
ejpam-6090	94	6	this	this	DET
ejpam-6090	94	7	section	section	NOUN
ejpam-6090	94	8	,	,	PUNCT
ejpam-6090	94	9	we	we	PRON
ejpam-6090	94	10	establish	establish	VERB
ejpam-6090	94	11	sufficient	sufficient	ADJ
ejpam-6090	94	12	criteria	criterion	NOUN
ejpam-6090	94	13	for	for	ADP
ejpam-6090	94	14	the	the	DET
ejpam-6090	94	15	exponential	exponential	ADJ
ejpam-6090	94	16	stability	stability	NOUN
ejpam-6090	94	17	and	and	CCONJ
ejpam-6090	94	18	boundedness	boundedness	NOUN
ejpam-6090	94	19	of	of	ADP
ejpam-6090	94	20	solutions	solution	NOUN
ejpam-6090	94	21	to	to	ADP
ejpam-6090	94	22	the	the	DET
ejpam-6090	94	23	kronecker	kronecker	NOUN
ejpam-6090	94	24	product	product	NOUN
ejpam-6090	94	25	vid	vid	NOUN
ejpam-6090	94	26	system	system	NOUN
ejpam-6090	94	27	on	on	ADP
ejpam-6090	94	28	time	time	NOUN
ejpam-6090	94	29	scales	scale	NOUN
ejpam-6090	94	30	described	describe	VERB
ejpam-6090	94	31	by	by	ADP
ejpam-6090	94	32	equation	equation	NOUN
ejpam-6090	94	33	(	(	PUNCT
ejpam-6090	94	34	1	1	NUM
ejpam-6090	94	35	)	)	PUNCT
ejpam-6090	94	36	.	.	PUNCT
ejpam-6090	95	1	theorem	theorem	NOUN
ejpam-6090	95	2	2	2	NUM
ejpam-6090	95	3	.	.	PUNCT
ejpam-6090	95	4	let	let	VERB
ejpam-6090	95	5	z(ι	z(ι	NUM
ejpam-6090	95	6	)	)	PUNCT
ejpam-6090	96	1	=	=	SYM
ejpam-6090	96	2	v	v	NUM
ejpam-6090	96	3	ecy	ecy	NOUN
ejpam-6090	96	4	(	(	PUNCT
ejpam-6090	96	5	ι	ι	NOUN
ejpam-6090	96	6	)	)	PUNCT
ejpam-6090	96	7	and	and	CCONJ
ejpam-6090	96	8	g(ι	g(ι	PROPN
ejpam-6090	96	9	)	)	PUNCT
ejpam-6090	97	1	=	=	PROPN
ejpam-6090	97	2	v	v	NUM
ejpam-6090	97	3	ecg(ι	ecg(ι	PROPN
ejpam-6090	97	4	)	)	PUNCT
ejpam-6090	97	5	with	with	ADP
ejpam-6090	97	6	z(0	z(0	NOUN
ejpam-6090	97	7	)	)	PUNCT
ejpam-6090	97	8	=	=	SYM
ejpam-6090	97	9	z0	z0	PROPN
ejpam-6090	97	10	.	.	PUNCT
ejpam-6090	98	1	consequently	consequently	ADV
ejpam-6090	98	2	,	,	PUNCT
ejpam-6090	98	3	the	the	DET
ejpam-6090	98	4	vid	vid	NOUN
ejpam-6090	98	5	sylvester	sylvester	NOUN
ejpam-6090	98	6	matrix	matrix	NOUN
ejpam-6090	98	7	system	system	NOUN
ejpam-6090	98	8	(	(	PUNCT
ejpam-6090	98	9	1	1	NUM
ejpam-6090	98	10	)	)	PUNCT
ejpam-6090	98	11	,	,	PUNCT
ejpam-6090	98	12	is	be	AUX
ejpam-6090	98	13	equivalent	equivalent	ADJ
ejpam-6090	98	14	the	the	DET
ejpam-6090	98	15	system	system	NOUN
ejpam-6090	98	16	z∆(ι	z∆(ι	NOUN
ejpam-6090	98	17	)	)	PUNCT
ejpam-6090	98	18	=	=	SYM
ejpam-6090	99	1	p	p	X
ejpam-6090	99	2	(	(	PUNCT
ejpam-6090	99	3	ι)z(ι	ι)z(ι	NOUN
ejpam-6090	99	4	)	)	PUNCT
ejpam-6090	100	1	+	+	CCONJ
ejpam-6090	100	2	∫	∫	PROPN
ejpam-6090	100	3	ι	ι	X
ejpam-6090	100	4	0	0	PUNCT
ejpam-6090	101	1	(	(	PUNCT
ejpam-6090	101	2	i	i	PRON
ejpam-6090	101	3	⊗h)(ι	⊗h)(ι	VERB
ejpam-6090	101	4	,	,	PUNCT
ejpam-6090	101	5	υ)z(υ)∆υ	υ)z(υ)∆υ	PROPN
ejpam-6090	101	6	+	+	CCONJ
ejpam-6090	102	1	g(ι	g(ι	PROPN
ejpam-6090	102	2	)	)	PUNCT
ejpam-6090	102	3	,	,	PUNCT
ejpam-6090	102	4	(	(	PUNCT
ejpam-6090	102	5	2	2	X
ejpam-6090	102	6	)	)	PUNCT
ejpam-6090	102	7	where	where	SCONJ
ejpam-6090	102	8	i	i	PRON
ejpam-6090	102	9	be	be	VERB
ejpam-6090	102	10	a	a	DET
ejpam-6090	102	11	identity	identity	NOUN
ejpam-6090	102	12	matrix	matrix	NOUN
ejpam-6090	102	13	and	and	CCONJ
ejpam-6090	102	14	p	p	NOUN
ejpam-6090	102	15	(	(	PUNCT
ejpam-6090	102	16	ι	ι	NOUN
ejpam-6090	102	17	)	)	PUNCT
ejpam-6090	102	18	=	=	PUNCT
ejpam-6090	103	1	[	[	X
ejpam-6090	103	2	b∗	b∗	ADJ
ejpam-6090	103	3	⊗	⊗	X
ejpam-6090	103	4	in	in	ADP
ejpam-6090	103	5	+	+	CCONJ
ejpam-6090	103	6	in	in	ADP
ejpam-6090	103	7	⊗a	⊗a	NOUN
ejpam-6090	103	8	]	]	PUNCT
ejpam-6090	103	9	.	.	PUNCT
ejpam-6090	104	1	proof	proof	NOUN
ejpam-6090	104	2	.	.	PUNCT
ejpam-6090	105	1	after	after	ADP
ejpam-6090	105	2	applying	apply	VERB
ejpam-6090	105	3	the	the	DET
ejpam-6090	105	4	vec	vec	NOUN
ejpam-6090	105	5	operator	operator	NOUN
ejpam-6090	105	6	to	to	ADP
ejpam-6090	105	7	the	the	DET
ejpam-6090	105	8	system	system	NOUN
ejpam-6090	105	9	(	(	PUNCT
ejpam-6090	105	10	1	1	NUM
ejpam-6090	105	11	)	)	PUNCT
ejpam-6090	105	12	,	,	PUNCT
ejpam-6090	105	13	we	we	PRON
ejpam-6090	105	14	are	be	AUX
ejpam-6090	105	15	able	able	ADJ
ejpam-6090	105	16	to	to	PART
ejpam-6090	105	17	acquire	acquire	VERB
ejpam-6090	105	18	the	the	DET
ejpam-6090	105	19	kronecker	kronecker	NOUN
ejpam-6090	105	20	product	product	NOUN
ejpam-6090	105	21	[	[	X
ejpam-6090	105	22	40	40	NUM
ejpam-6090	105	23	]	]	PUNCT
ejpam-6090	105	24	by	by	ADP
ejpam-6090	105	25	making	make	VERB
ejpam-6090	105	26	use	use	NOUN
ejpam-6090	105	27	of	of	ADP
ejpam-6090	105	28	the	the	DET
ejpam-6090	105	29	features	feature	NOUN
ejpam-6090	105	30	that	that	PRON
ejpam-6090	105	31	were	be	AUX
ejpam-6090	105	32	discussed	discuss	VERB
ejpam-6090	105	33	earlier	early	ADV
ejpam-6090	105	34	.	.	PUNCT
ejpam-6090	106	1	z∆(ι	z∆(ι	X
ejpam-6090	106	2	)	)	PUNCT
ejpam-6090	106	3	=	=	SYM
ejpam-6090	107	1	p	p	X
ejpam-6090	107	2	(	(	PUNCT
ejpam-6090	107	3	ι)z(ι	ι)z(ι	NOUN
ejpam-6090	107	4	)	)	PUNCT
ejpam-6090	108	1	+	+	CCONJ
ejpam-6090	108	2	∫	∫	PROPN
ejpam-6090	108	3	ι	ι	X
ejpam-6090	108	4	0	0	PUNCT
ejpam-6090	109	1	(	(	PUNCT
ejpam-6090	109	2	i	i	PRON
ejpam-6090	109	3	⊗h)(ι	⊗h)(ι	VERB
ejpam-6090	109	4	,	,	PUNCT
ejpam-6090	109	5	υ)z(υ)∆υ	υ)z(υ)∆υ	PROPN
ejpam-6090	109	6	+	+	CCONJ
ejpam-6090	110	1	g(ι	g(ι	PROPN
ejpam-6090	110	2	)	)	PUNCT
ejpam-6090	110	3	.	.	PUNCT
ejpam-6090	111	1	result	result	VERB
ejpam-6090	111	2	3	3	NUM
ejpam-6090	111	3	.	.	PUNCT
ejpam-6090	112	1	[	[	X
ejpam-6090	112	2	23	23	NUM
ejpam-6090	112	3	]	]	PUNCT
ejpam-6090	112	4	when	when	SCONJ
ejpam-6090	112	5	y	y	PROPN
ejpam-6090	112	6	(	(	PUNCT
ejpam-6090	112	7	ι	ι	PROPN
ejpam-6090	112	8	)	)	PUNCT
ejpam-6090	112	9	is	be	AUX
ejpam-6090	112	10	the	the	DET
ejpam-6090	112	11	solution	solution	NOUN
ejpam-6090	112	12	of	of	ADP
ejpam-6090	112	13	(	(	PUNCT
ejpam-6090	112	14	1	1	X
ejpam-6090	112	15	)	)	PUNCT
ejpam-6090	112	16	if	if	SCONJ
ejpam-6090	112	17	and	and	CCONJ
ejpam-6090	112	18	only	only	ADV
ejpam-6090	112	19	if	if	SCONJ
ejpam-6090	112	20	z(ψ	z(ψ	PROPN
ejpam-6090	112	21	)	)	PUNCT
ejpam-6090	113	1	=	=	SYM
ejpam-6090	113	2	v	v	NUM
ejpam-6090	113	3	ecy	ecy	NOUN
ejpam-6090	113	4	(	(	PUNCT
ejpam-6090	113	5	ι	ι	NOUN
ejpam-6090	113	6	)	)	PUNCT
ejpam-6090	113	7	is	be	AUX
ejpam-6090	113	8	the	the	DET
ejpam-6090	113	9	solution	solution	NOUN
ejpam-6090	113	10	of	of	ADP
ejpam-6090	113	11	(	(	PUNCT
ejpam-6090	113	12	2	2	NUM
ejpam-6090	113	13	)	)	PUNCT
ejpam-6090	113	14	.	.	PUNCT
ejpam-6090	114	1	definition	definition	NOUN
ejpam-6090	114	2	5	5	NUM
ejpam-6090	114	3	.	.	PUNCT
ejpam-6090	115	1	if	if	SCONJ
ejpam-6090	115	2	there	there	PRON
ejpam-6090	115	3	are	be	VERB
ejpam-6090	115	4	positive	positive	ADJ
ejpam-6090	115	5	constants	constant	NOUN
ejpam-6090	115	6	m	m	VERB
ejpam-6090	115	7	and	and	CCONJ
ejpam-6090	115	8	d	d	NOUN
ejpam-6090	115	9	,	,	PUNCT
ejpam-6090	115	10	the	the	DET
ejpam-6090	115	11	following	follow	VERB
ejpam-6090	115	12	inequality	inequality	NOUN
ejpam-6090	115	13	is	be	AUX
ejpam-6090	115	14	satisfied	satisfied	ADJ
ejpam-6090	115	15	for	for	ADP
ejpam-6090	115	16	every	every	DET
ejpam-6090	115	17	solution	solution	NOUN
ejpam-6090	115	18	of	of	ADP
ejpam-6090	115	19	the	the	DET
ejpam-6090	115	20	homogeneous	homogeneous	ADJ
ejpam-6090	115	21	system	system	NOUN
ejpam-6090	115	22	associated	associate	VERB
ejpam-6090	115	23	with	with	ADP
ejpam-6090	115	24	z(0	z(0	ADV
ejpam-6090	115	25	)	)	PUNCT
ejpam-6090	115	26	=	=	SYM
ejpam-6090	115	27	z0	z0	PROPN
ejpam-6090	115	28	,	,	PUNCT
ejpam-6090	115	29	then	then	ADV
ejpam-6090	115	30	the	the	DET
ejpam-6090	115	31	system	system	NOUN
ejpam-6090	115	32	given	give	VERB
ejpam-6090	115	33	by	by	ADP
ejpam-6090	115	34	the	the	DET
ejpam-6090	115	35	system	system	NOUN
ejpam-6090	115	36	(	(	PUNCT
ejpam-6090	115	37	2	2	X
ejpam-6090	115	38	)	)	PUNCT
ejpam-6090	115	39	is	be	AUX
ejpam-6090	115	40	said	say	VERB
ejpam-6090	115	41	to	to	PART
ejpam-6090	115	42	be	be	AUX
ejpam-6090	115	43	exponentially	exponentially	ADV
ejpam-6090	115	44	stable	stable	ADJ
ejpam-6090	115	45	.	.	PUNCT
ejpam-6090	116	1	|	|	ADV
ejpam-6090	116	2	z(ι	z(ι	NUM
ejpam-6090	116	3	)	)	PUNCT
ejpam-6090	116	4	|≤m	|≤m	NOUN
ejpam-6090	116	5	|	|	ADV
ejpam-6090	116	6	z0	z0	PROPN
ejpam-6090	116	7	|	|	ADV
ejpam-6090	116	8	ψ−d(0	ψ−d(0	NOUN
ejpam-6090	116	9	,	,	PUNCT
ejpam-6090	116	10	ι	ι	PROPN
ejpam-6090	116	11	)	)	PUNCT
ejpam-6090	116	12	.	.	PUNCT
ejpam-6090	117	1	ch	ch	PROPN
ejpam-6090	117	2	.	.	PUNCT
ejpam-6090	117	3	harisha	harisha	PROPN
ejpam-6090	117	4	,	,	PUNCT
ejpam-6090	117	5	b.	b.	PROPN
ejpam-6090	117	6	v.	v.	ADP
ejpam-6090	117	7	appa	appa	PROPN
ejpam-6090	117	8	rao	rao	PROPN
ejpam-6090	117	9	,	,	PUNCT
ejpam-6090	117	10	a.	a.	PROPN
ejpam-6090	117	11	sreenivasulu	sreenivasulu	PROPN
ejpam-6090	117	12	/	/	SYM
ejpam-6090	117	13	eur	eur	PROPN
ejpam-6090	117	14	.	.	PUNCT
ejpam-6090	118	1	j.	j.	PROPN
ejpam-6090	118	2	pure	pure	PROPN
ejpam-6090	118	3	appl	appl	PROPN
ejpam-6090	118	4	.	.	PROPN
ejpam-6090	118	5	math	math	PROPN
ejpam-6090	118	6	,	,	PUNCT
ejpam-6090	118	7	18	18	NUM
ejpam-6090	118	8	(	(	PUNCT
ejpam-6090	118	9	2	2	NUM
ejpam-6090	118	10	)	)	PUNCT
ejpam-6090	118	11	(	(	PUNCT
ejpam-6090	118	12	2025	2025	NUM
ejpam-6090	118	13	)	)	PUNCT
ejpam-6090	118	14	,	,	PUNCT
ejpam-6090	118	15	6090	6090	NUM
ejpam-6090	118	16	5	5	NUM
ejpam-6090	118	17	of	of	ADP
ejpam-6090	118	18	13	13	NUM
ejpam-6090	118	19	the	the	DET
ejpam-6090	118	20	initial	initial	ADJ
ejpam-6090	118	21	order	order	NOUN
ejpam-6090	118	22	non	non	ADJ
ejpam-6090	118	23	-	-	ADJ
ejpam-6090	118	24	homogeneous	homogeneous	ADJ
ejpam-6090	118	25	linear	linear	ADJ
ejpam-6090	118	26	dynamic	dynamic	ADJ
ejpam-6090	118	27	system	system	NOUN
ejpam-6090	118	28	associated	associate	VERB
ejpam-6090	118	29	with	with	ADP
ejpam-6090	118	30	system	system	NOUN
ejpam-6090	118	31	(	(	PUNCT
ejpam-6090	118	32	2	2	X
ejpam-6090	118	33	)	)	PUNCT
ejpam-6090	118	34	can	can	AUX
ejpam-6090	118	35	be	be	AUX
ejpam-6090	118	36	expressed	express	VERB
ejpam-6090	118	37	in	in	ADP
ejpam-6090	118	38	the	the	DET
ejpam-6090	118	39	following	follow	VERB
ejpam-6090	118	40	manner	manner	NOUN
ejpam-6090	118	41	:	:	PUNCT
ejpam-6090	118	42	z∆(ι	z∆(ι	NUM
ejpam-6090	118	43	)	)	PUNCT
ejpam-6090	118	44	=	=	SYM
ejpam-6090	119	1	p	p	X
ejpam-6090	119	2	(	(	PUNCT
ejpam-6090	119	3	ι)z(ι	ι)z(ι	NOUN
ejpam-6090	119	4	)	)	PUNCT
ejpam-6090	120	1	+	+	CCONJ
ejpam-6090	120	2	g(ι	g(ι	PROPN
ejpam-6090	120	3	)	)	PUNCT
ejpam-6090	120	4	,	,	PUNCT
ejpam-6090	120	5	(	(	PUNCT
ejpam-6090	120	6	3	3	X
ejpam-6090	120	7	)	)	PUNCT
ejpam-6090	120	8	this	this	DET
ejpam-6090	120	9	system	system	NOUN
ejpam-6090	120	10	is	be	AUX
ejpam-6090	120	11	termed	term	VERB
ejpam-6090	120	12	regressive	regressive	ADJ
ejpam-6090	120	13	.	.	PUNCT
ejpam-6090	121	1	according	accord	VERB
ejpam-6090	121	2	to	to	ADP
ejpam-6090	121	3	the	the	DET
ejpam-6090	121	4	formula	formula	NOUN
ejpam-6090	121	5	of	of	ADP
ejpam-6090	121	6	variation	variation	NOUN
ejpam-6090	121	7	of	of	ADP
ejpam-6090	121	8	constants	constant	NOUN
ejpam-6090	121	9	[	[	X
ejpam-6090	121	10	2	2	NUM
ejpam-6090	121	11	]	]	PUNCT
ejpam-6090	121	12	,	,	PUNCT
ejpam-6090	121	13	the	the	DET
ejpam-6090	121	14	only	only	ADJ
ejpam-6090	121	15	one	one	NUM
ejpam-6090	121	16	solution	solution	NOUN
ejpam-6090	121	17	to	to	ADP
ejpam-6090	121	18	this	this	DET
ejpam-6090	121	19	equation	equation	NOUN
ejpam-6090	121	20	,	,	PUNCT
ejpam-6090	121	21	given	give	VERB
ejpam-6090	121	22	z(0	z(0	ADV
ejpam-6090	121	23	)	)	PUNCT
ejpam-6090	121	24	=	=	SYM
ejpam-6090	121	25	z0	z0	PROPN
ejpam-6090	121	26	is	be	AUX
ejpam-6090	121	27	provided	provide	VERB
ejpam-6090	121	28	as	as	ADP
ejpam-6090	121	29	follows	follow	VERB
ejpam-6090	121	30	.	.	PUNCT
ejpam-6090	122	1	z(ι	z(ι	VERB
ejpam-6090	122	2	)	)	PUNCT
ejpam-6090	123	1	=	=	SYM
ejpam-6090	123	2	ψp	ψp	PROPN
ejpam-6090	123	3	(	(	PUNCT
ejpam-6090	123	4	ι	ι	PROPN
ejpam-6090	123	5	,	,	PUNCT
ejpam-6090	123	6	0)z0	0)z0	PROPN
ejpam-6090	123	7	+	+	CCONJ
ejpam-6090	123	8	∫	∫	PROPN
ejpam-6090	123	9	ι	ι	X
ejpam-6090	123	10	0	0	NUM
ejpam-6090	123	11	ψp	ψp	PROPN
ejpam-6090	123	12	(	(	PUNCT
ejpam-6090	123	13	ι	ι	PROPN
ejpam-6090	123	14	,	,	PUNCT
ejpam-6090	123	15	σ(τ))g(τ)∆τ	σ(τ))g(τ)∆τ	PROPN
ejpam-6090	123	16	.	.	PUNCT
ejpam-6090	124	1	(	(	PUNCT
ejpam-6090	124	2	4	4	X
ejpam-6090	124	3	)	)	PUNCT
ejpam-6090	124	4	it	it	PRON
ejpam-6090	124	5	can	can	AUX
ejpam-6090	124	6	be	be	AUX
ejpam-6090	124	7	verified	verify	VERB
ejpam-6090	124	8	that	that	SCONJ
ejpam-6090	124	9	the	the	DET
ejpam-6090	124	10	solution	solution	NOUN
ejpam-6090	124	11	to	to	ADP
ejpam-6090	124	12	the	the	DET
ejpam-6090	124	13	system	system	NOUN
ejpam-6090	124	14	(	(	PUNCT
ejpam-6090	124	15	2	2	NUM
ejpam-6090	124	16	)	)	PUNCT
ejpam-6090	124	17	with	with	ADP
ejpam-6090	124	18	z(0	z(0	NOUN
ejpam-6090	124	19	)	)	PUNCT
ejpam-6090	124	20	=	=	SYM
ejpam-6090	124	21	z0	z0	PROPN
ejpam-6090	124	22	fulfills	fulfill	VERB
ejpam-6090	124	23	the	the	DET
ejpam-6090	124	24	following	follow	VERB
ejpam-6090	124	25	requirements	requirement	NOUN
ejpam-6090	124	26	:	:	PUNCT
ejpam-6090	124	27	z(ι	z(ι	NUM
ejpam-6090	124	28	)	)	PUNCT
ejpam-6090	125	1	=	=	SYM
ejpam-6090	125	2	ψp	ψp	PROPN
ejpam-6090	125	3	(	(	PUNCT
ejpam-6090	125	4	ι	ι	PROPN
ejpam-6090	125	5	,	,	PUNCT
ejpam-6090	125	6	0)z0	0)z0	PROPN
ejpam-6090	125	7	+	+	CCONJ
ejpam-6090	125	8	∫	∫	PROPN
ejpam-6090	125	9	ι	ι	X
ejpam-6090	125	10	0	0	NUM
ejpam-6090	125	11	ψp	ψp	PROPN
ejpam-6090	125	12	(	(	PUNCT
ejpam-6090	125	13	ι	ι	PROPN
ejpam-6090	125	14	,	,	PUNCT
ejpam-6090	125	15	σ(τ	σ(τ	PROPN
ejpam-6090	125	16	)	)	PUNCT
ejpam-6090	125	17	)	)	PUNCT
ejpam-6090	125	18	∫	∫	PROPN
ejpam-6090	126	1	ι	ι	X
ejpam-6090	126	2	0	0	PUNCT
ejpam-6090	127	1	(	(	PUNCT
ejpam-6090	127	2	i	i	PRON
ejpam-6090	127	3	⊗h)(τ	⊗h)(τ	VERB
ejpam-6090	127	4	,	,	PUNCT
ejpam-6090	127	5	υ)z(υ)∆υ∆τ	υ)z(υ)∆υ∆τ	NOUN
ejpam-6090	127	6	+	+	X
ejpam-6090	128	1	∫	∫	PROPN
ejpam-6090	128	2	t	t	NOUN
ejpam-6090	128	3	0	0	NUM
ejpam-6090	128	4	ψp	ψp	PROPN
ejpam-6090	128	5	(	(	PUNCT
ejpam-6090	128	6	ι	ι	PROPN
ejpam-6090	128	7	,	,	PUNCT
ejpam-6090	128	8	σ(τ))g(τ)∆τ	σ(τ))g(τ)∆τ	PROPN
ejpam-6090	128	9	.	.	PUNCT
ejpam-6090	129	1	(	(	PUNCT
ejpam-6090	129	2	5	5	X
ejpam-6090	129	3	)	)	PUNCT
ejpam-6090	129	4	theorem	theorem	NOUN
ejpam-6090	129	5	4	4	NUM
ejpam-6090	129	6	.	.	PUNCT
ejpam-6090	130	1	let	let	VERB
ejpam-6090	130	2	p	p	NOUN
ejpam-6090	130	3	(	(	PUNCT
ejpam-6090	130	4	ι	ι	NOUN
ejpam-6090	130	5	)	)	PUNCT
ejpam-6090	130	6	≤	≤	NOUN
ejpam-6090	130	7	0	0	NUM
ejpam-6090	130	8	,	,	PUNCT
ejpam-6090	130	9	∀ι	∀ι	NOUN
ejpam-6090	130	10	∈	∈	PROPN
ejpam-6090	130	11	t.	t.	NOUN
ejpam-6090	130	12	if	if	SCONJ
ejpam-6090	130	13	p	p	PROPN
ejpam-6090	130	14	∈	∈	PROPN
ejpam-6090	130	15	rn2	rn2	PROPN
ejpam-6090	130	16	then	then	ADV
ejpam-6090	130	17	the	the	DET
ejpam-6090	130	18	subsequent	subsequent	ADJ
ejpam-6090	130	19	inequalities	inequality	NOUN
ejpam-6090	130	20	are	be	AUX
ejpam-6090	130	21	valid	valid	ADJ
ejpam-6090	130	22	.	.	PUNCT
ejpam-6090	131	1	−1	−1	NOUN
ejpam-6090	131	2	≤	≤	NUM
ejpam-6090	132	1	∫	∫	PROPN
ejpam-6090	132	2	ι	ι	X
ejpam-6090	133	1	0	0	NUM
ejpam-6090	133	2	ψp	ψp	PROPN
ejpam-6090	133	3	(	(	PUNCT
ejpam-6090	133	4	ι	ι	PROPN
ejpam-6090	133	5	,	,	PUNCT
ejpam-6090	133	6	σ(τ))p	σ(τ))p	NOUN
ejpam-6090	133	7	(	(	PUNCT
ejpam-6090	133	8	τ)∆τ	τ)∆τ	NUM
ejpam-6090	133	9	≤	≤	NOUN
ejpam-6090	133	10	0	0	NUM
ejpam-6090	133	11	,	,	PUNCT
ejpam-6090	133	12	(	(	PUNCT
ejpam-6090	133	13	6	6	NUM
ejpam-6090	133	14	)	)	PUNCT
ejpam-6090	133	15	and	and	CCONJ
ejpam-6090	133	16	ψp	ψp	ADP
ejpam-6090	133	17	(	(	PUNCT
ejpam-6090	133	18	ι	ι	PROPN
ejpam-6090	133	19	,	,	PUNCT
ejpam-6090	133	20	0	0	NUM
ejpam-6090	133	21	)	)	PUNCT
ejpam-6090	133	22	∈	∈	NOUN
ejpam-6090	134	1	[	[	X
ejpam-6090	134	2	0	0	NUM
ejpam-6090	134	3	,	,	PUNCT
ejpam-6090	134	4	1	1	NUM
ejpam-6090	134	5	]	]	PUNCT
ejpam-6090	134	6	.	.	PUNCT
ejpam-6090	135	1	proof	proof	NOUN
ejpam-6090	135	2	.	.	PUNCT
ejpam-6090	136	1	take	take	VERB
ejpam-6090	136	2	into	into	ADP
ejpam-6090	136	3	consideration	consideration	NOUN
ejpam-6090	136	4	the	the	DET
ejpam-6090	136	5	system	system	NOUN
ejpam-6090	136	6	that	that	PRON
ejpam-6090	136	7	is	be	AUX
ejpam-6090	136	8	described	describe	VERB
ejpam-6090	136	9	by	by	ADP
ejpam-6090	136	10	equation	equation	NOUN
ejpam-6090	136	11	(	(	PUNCT
ejpam-6090	136	12	3	3	NUM
ejpam-6090	136	13	)	)	PUNCT
ejpam-6090	136	14	,	,	PUNCT
ejpam-6090	136	15	including	include	VERB
ejpam-6090	136	16	a	a	DET
ejpam-6090	136	17	function	function	NOUN
ejpam-6090	136	18	that	that	PRON
ejpam-6090	136	19	is	be	AUX
ejpam-6090	136	20	defined	define	VERB
ejpam-6090	136	21	as	as	ADP
ejpam-6090	136	22	f(ι	f(ι	NOUN
ejpam-6090	136	23	)	)	PUNCT
ejpam-6090	136	24	=	=	SYM
ejpam-6090	136	25	−p	−p	NOUN
ejpam-6090	136	26	(	(	PUNCT
ejpam-6090	136	27	ι	ι	NOUN
ejpam-6090	136	28	)	)	PUNCT
ejpam-6090	136	29	,	,	PUNCT
ejpam-6090	136	30	and	and	CCONJ
ejpam-6090	136	31	begin	begin	VERB
ejpam-6090	136	32	with	with	ADP
ejpam-6090	136	33	z0	z0	PROPN
ejpam-6090	136	34	=	=	SYM
ejpam-6090	136	35	−1	−1	NOUN
ejpam-6090	136	36	.	.	PUNCT
ejpam-6090	137	1	when	when	SCONJ
ejpam-6090	137	2	considering	consider	VERB
ejpam-6090	137	3	this	this	DET
ejpam-6090	137	4	particular	particular	ADJ
ejpam-6090	137	5	scenario	scenario	NOUN
ejpam-6090	137	6	,	,	PUNCT
ejpam-6090	137	7	it	it	PRON
ejpam-6090	137	8	is	be	AUX
ejpam-6090	137	9	crucial	crucial	ADJ
ejpam-6090	137	10	to	to	PART
ejpam-6090	137	11	take	take	VERB
ejpam-6090	137	12	note	note	NOUN
ejpam-6090	137	13	of	of	ADP
ejpam-6090	137	14	the	the	DET
ejpam-6090	137	15	fact	fact	NOUN
ejpam-6090	137	16	that	that	SCONJ
ejpam-6090	137	17	the	the	DET
ejpam-6090	137	18	function	function	NOUN
ejpam-6090	137	19	z(ι	z(ι	NUM
ejpam-6090	137	20	)	)	PUNCT
ejpam-6090	137	21	≡	≡	PROPN
ejpam-6090	137	22	1	1	NUM
ejpam-6090	137	23	functions	function	NOUN
ejpam-6090	137	24	as	as	ADP
ejpam-6090	137	25	a	a	DET
ejpam-6090	137	26	solution	solution	NOUN
ejpam-6090	137	27	to	to	ADP
ejpam-6090	137	28	the	the	DET
ejpam-6090	137	29	initial	initial	ADJ
ejpam-6090	137	30	value	value	NOUN
ejpam-6090	137	31	problem	problem	NOUN
ejpam-6090	137	32	(	(	PUNCT
ejpam-6090	137	33	ivp	ivp	NOUN
ejpam-6090	137	34	)	)	PUNCT
ejpam-6090	137	35	that	that	PRON
ejpam-6090	137	36	is	be	AUX
ejpam-6090	137	37	represented	represent	VERB
ejpam-6090	137	38	by	by	ADP
ejpam-6090	137	39	equations	equation	NOUN
ejpam-6090	137	40	(	(	PUNCT
ejpam-6090	137	41	3	3	NUM
ejpam-6090	137	42	)	)	PUNCT
ejpam-6090	137	43	and	and	CCONJ
ejpam-6090	137	44	(	(	PUNCT
ejpam-6090	137	45	2	2	NUM
ejpam-6090	137	46	)	)	PUNCT
ejpam-6090	137	47	.	.	PUNCT
ejpam-6090	138	1	in	in	ADP
ejpam-6090	138	2	light	light	NOUN
ejpam-6090	138	3	of	of	ADP
ejpam-6090	138	4	this	this	PRON
ejpam-6090	138	5	,	,	PUNCT
ejpam-6090	138	6	we	we	PRON
ejpam-6090	138	7	are	be	AUX
ejpam-6090	138	8	able	able	ADJ
ejpam-6090	138	9	to	to	PART
ejpam-6090	138	10	directly	directly	ADV
ejpam-6090	138	11	deduce	deduce	VERB
ejpam-6090	138	12	that	that	SCONJ
ejpam-6090	138	13	from	from	ADP
ejpam-6090	138	14	equation	equation	NOUN
ejpam-6090	138	15	(	(	PUNCT
ejpam-6090	138	16	4	4	NUM
ejpam-6090	138	17	)	)	PUNCT
ejpam-6090	138	18	.	.	PUNCT
ejpam-6090	139	1	1	1	NUM
ejpam-6090	139	2	=	=	SYM
ejpam-6090	139	3	ψp	ψp	PROPN
ejpam-6090	139	4	(	(	PUNCT
ejpam-6090	139	5	ι	ι	PROPN
ejpam-6090	139	6	,	,	PUNCT
ejpam-6090	139	7	0	0	NUM
ejpam-6090	139	8	)	)	PUNCT
ejpam-6090	140	1	−	−	NOUN
ejpam-6090	140	2	∫	∫	PROPN
ejpam-6090	140	3	ι	ι	X
ejpam-6090	140	4	0	0	NUM
ejpam-6090	141	1	ψp	ψp	PROPN
ejpam-6090	141	2	(	(	PUNCT
ejpam-6090	141	3	ι	ι	PROPN
ejpam-6090	141	4	,	,	PUNCT
ejpam-6090	141	5	σ(τ))p	σ(τ))p	NOUN
ejpam-6090	141	6	(	(	PUNCT
ejpam-6090	141	7	τ)∆τ	τ)∆τ	NUM
ejpam-6090	141	8	.	.	PUNCT
ejpam-6090	142	1	according	accord	VERB
ejpam-6090	142	2	to	to	ADP
ejpam-6090	142	3	theorem	theorem	NOUN
ejpam-6090	142	4	1	1	NUM
ejpam-6090	142	5	,	,	PUNCT
ejpam-6090	142	6	we	we	PRON
ejpam-6090	142	7	can	can	AUX
ejpam-6090	142	8	express	express	VERB
ejpam-6090	142	9	this	this	PRON
ejpam-6090	142	10	as	as	ADP
ejpam-6090	142	11	ψp	ψp	PROPN
ejpam-6090	142	12	(	(	PUNCT
ejpam-6090	142	13	ι	ι	PROPN
ejpam-6090	142	14	,	,	PUNCT
ejpam-6090	142	15	0	0	NUM
ejpam-6090	142	16	)	)	PUNCT
ejpam-6090	142	17	=	=	SYM
ejpam-6090	142	18	ψp	ψp	PROPN
ejpam-6090	142	19	(	(	PUNCT
ejpam-6090	142	20	ι	ι	PROPN
ejpam-6090	142	21	,	,	PUNCT
ejpam-6090	142	22	σ(τ))ψp	σ(τ))ψp	PROPN
ejpam-6090	142	23	(	(	PUNCT
ejpam-6090	142	24	σ(τ	σ(τ	PROPN
ejpam-6090	142	25	)	)	PUNCT
ejpam-6090	142	26	,	,	PUNCT
ejpam-6090	142	27	0	0	NUM
ejpam-6090	142	28	)	)	PUNCT
ejpam-6090	142	29	.	.	PUNCT
ejpam-6090	143	1	given	give	VERB
ejpam-6090	143	2	that	that	PRON
ejpam-6090	143	3	p	p	PROPN
ejpam-6090	143	4	∈	∈	PROPN
ejpam-6090	143	5	rn2	rn2	PROPN
ejpam-6090	143	6	,	,	PUNCT
ejpam-6090	143	7	it	it	PRON
ejpam-6090	143	8	follows	follow	VERB
ejpam-6090	143	9	that	that	SCONJ
ejpam-6090	143	10	ψp	ψp	ADP
ejpam-6090	143	11	(	(	PUNCT
ejpam-6090	143	12	ι	ι	PROPN
ejpam-6090	143	13	,	,	PUNCT
ejpam-6090	143	14	0	0	NUM
ejpam-6090	143	15	)	)	PUNCT
ejpam-6090	143	16	>	>	X
ejpam-6090	143	17	0	0	NUM
ejpam-6090	143	18	,	,	PUNCT
ejpam-6090	143	19	∀ι	∀ι	ADP
ejpam-6090	143	20	∈	∈	PROPN
ejpam-6090	143	21	t	t	PROPN
ejpam-6090	143	22	and	and	CCONJ
ejpam-6090	143	23	ψp	ψp	PROPN
ejpam-6090	143	24	(	(	PUNCT
ejpam-6090	143	25	σ(τ	σ(τ	PROPN
ejpam-6090	143	26	)	)	PUNCT
ejpam-6090	143	27	,	,	PUNCT
ejpam-6090	143	28	0	0	NUM
ejpam-6090	143	29	)	)	PUNCT
ejpam-6090	143	30	>	>	X
ejpam-6090	143	31	0	0	NUM
ejpam-6090	143	32	,	,	PUNCT
ejpam-6090	143	33	∀ι	∀ι	ADP
ejpam-6090	143	34	∈	∈	PROPN
ejpam-6090	143	35	t.	t.	PROPN
ejpam-6090	143	36	therefore	therefore	ADV
ejpam-6090	143	37	,	,	PUNCT
ejpam-6090	143	38	we	we	PRON
ejpam-6090	143	39	can	can	AUX
ejpam-6090	143	40	conclude	conclude	VERB
ejpam-6090	143	41	that	that	PRON
ejpam-6090	143	42	ψp	ψp	ADP
ejpam-6090	143	43	(	(	PUNCT
ejpam-6090	143	44	ι	ι	PROPN
ejpam-6090	143	45	,	,	PUNCT
ejpam-6090	143	46	σ(τ	σ(τ	PROPN
ejpam-6090	143	47	)	)	PUNCT
ejpam-6090	143	48	)	)	PUNCT
ejpam-6090	143	49	>	>	X
ejpam-6090	143	50	0,∀r	0,∀r	NUM
ejpam-6090	144	1	∈	∈	PROPN
ejpam-6090	145	1	[	[	X
ejpam-6090	145	2	0	0	NUM
ejpam-6090	145	3	,	,	PUNCT
ejpam-6090	145	4	ι]t	ι]t	NUM
ejpam-6090	145	5	.	.	PUNCT
ejpam-6090	146	1	this	this	PRON
ejpam-6090	146	2	completes	complete	VERB
ejpam-6090	146	3	the	the	DET
ejpam-6090	146	4	proof	proof	NOUN
ejpam-6090	146	5	,	,	PUNCT
ejpam-6090	146	6	as	as	SCONJ
ejpam-6090	146	7	the	the	DET
ejpam-6090	146	8	function	function	NOUN
ejpam-6090	146	9	p	p	NOUN
ejpam-6090	146	10	assumes	assume	VERB
ejpam-6090	146	11	nonpositive	nonpositive	ADJ
ejpam-6090	146	12	values	value	NOUN
ejpam-6090	146	13	.	.	PUNCT
ejpam-6090	147	1	now	now	ADV
ejpam-6090	147	2	that	that	SCONJ
ejpam-6090	147	3	we	we	PRON
ejpam-6090	147	4	have	have	AUX
ejpam-6090	147	5	taken	take	VERB
ejpam-6090	147	6	the	the	DET
ejpam-6090	147	7	necessary	necessary	ADJ
ejpam-6090	147	8	steps	step	NOUN
ejpam-6090	147	9	,	,	PUNCT
ejpam-6090	147	10	we	we	PRON
ejpam-6090	147	11	are	be	AUX
ejpam-6090	147	12	ready	ready	ADJ
ejpam-6090	147	13	to	to	PART
ejpam-6090	147	14	provide	provide	VERB
ejpam-6090	147	15	sufficient	sufficient	ADJ
ejpam-6090	147	16	criteria	criterion	NOUN
ejpam-6090	147	17	for	for	ADP
ejpam-6090	147	18	the	the	DET
ejpam-6090	147	19	boundedness	boundedness	NOUN
ejpam-6090	147	20	of	of	ADP
ejpam-6090	147	21	solutions	solution	NOUN
ejpam-6090	147	22	to	to	ADP
ejpam-6090	147	23	the	the	DET
ejpam-6090	147	24	system	system	NOUN
ejpam-6090	147	25	(	(	PUNCT
ejpam-6090	147	26	2	2	NUM
ejpam-6090	147	27	)	)	PUNCT
ejpam-6090	147	28	.	.	PUNCT
ejpam-6090	148	1	ch	ch	PROPN
ejpam-6090	148	2	.	.	PUNCT
ejpam-6090	148	3	harisha	harisha	PROPN
ejpam-6090	148	4	,	,	PUNCT
ejpam-6090	148	5	b.	b.	PROPN
ejpam-6090	148	6	v.	v.	ADP
ejpam-6090	148	7	appa	appa	PROPN
ejpam-6090	148	8	rao	rao	PROPN
ejpam-6090	148	9	,	,	PUNCT
ejpam-6090	148	10	a.	a.	PROPN
ejpam-6090	148	11	sreenivasulu	sreenivasulu	PROPN
ejpam-6090	148	12	/	/	SYM
ejpam-6090	148	13	eur	eur	PROPN
ejpam-6090	148	14	.	.	PUNCT
ejpam-6090	149	1	j.	j.	PROPN
ejpam-6090	149	2	pure	pure	PROPN
ejpam-6090	149	3	appl	appl	PROPN
ejpam-6090	149	4	.	.	PROPN
ejpam-6090	149	5	math	math	PROPN
ejpam-6090	149	6	,	,	PUNCT
ejpam-6090	149	7	18	18	NUM
ejpam-6090	149	8	(	(	PUNCT
ejpam-6090	149	9	2	2	NUM
ejpam-6090	149	10	)	)	PUNCT
ejpam-6090	149	11	(	(	PUNCT
ejpam-6090	149	12	2025	2025	NUM
ejpam-6090	149	13	)	)	PUNCT
ejpam-6090	149	14	,	,	PUNCT
ejpam-6090	149	15	6090	6090	NUM
ejpam-6090	149	16	6	6	NUM
ejpam-6090	149	17	of	of	ADP
ejpam-6090	149	18	13	13	NUM
ejpam-6090	149	19	theorem	theorem	NOUN
ejpam-6090	149	20	5	5	NUM
ejpam-6090	149	21	.	.	PUNCT
ejpam-6090	150	1	let	let	VERB
ejpam-6090	150	2	us	we	PRON
ejpam-6090	150	3	consider	consider	VERB
ejpam-6090	150	4	p	p	PROPN
ejpam-6090	150	5	∈	∈	PROPN
ejpam-6090	150	6	rn2	rn2	PROPN
ejpam-6090	150	7	such	such	ADJ
ejpam-6090	150	8	that	that	SCONJ
ejpam-6090	150	9	p	p	X
ejpam-6090	150	10	(	(	PUNCT
ejpam-6090	150	11	ι	ι	NOUN
ejpam-6090	150	12	)	)	PUNCT
ejpam-6090	150	13	≤	≤	NOUN
ejpam-6090	150	14	−ϕ	−ϕ	ADV
ejpam-6090	150	15	<	<	X
ejpam-6090	150	16	0	0	NUM
ejpam-6090	150	17	,	,	PUNCT
ejpam-6090	150	18	∀ι	∀ι	ADP
ejpam-6090	150	19	∈	∈	PROPN
ejpam-6090	150	20	t	t	PROPN
ejpam-6090	150	21	,	,	PUNCT
ejpam-6090	150	22	where	where	SCONJ
ejpam-6090	150	23	ϕ	ϕ	NOUN
ejpam-6090	150	24	>	>	X
ejpam-6090	150	25	0	0	X
ejpam-6090	150	26	.	.	PUNCT
ejpam-6090	151	1	furthermore	furthermore	ADV
ejpam-6090	151	2	,	,	PUNCT
ejpam-6090	151	3	assume	assume	VERB
ejpam-6090	151	4	there	there	PRON
ejpam-6090	151	5	exists	exist	VERB
ejpam-6090	151	6	a	a	DET
ejpam-6090	151	7	constant	constant	ADJ
ejpam-6090	151	8	c	c	NOUN
ejpam-6090	151	9	∈	∈	PROPN
ejpam-6090	151	10	(	(	PUNCT
ejpam-6090	151	11	0	0	NUM
ejpam-6090	151	12	,	,	PUNCT
ejpam-6090	151	13	1	1	NUM
ejpam-6090	151	14	)	)	PUNCT
ejpam-6090	151	15	such	such	ADJ
ejpam-6090	151	16	that	that	DET
ejpam-6090	151	17	sup	sup	NOUN
ejpam-6090	151	18	ι∈t	ι∈t	NOUN
ejpam-6090	151	19	1	1	NUM
ejpam-6090	152	1	|	|	ADV
ejpam-6090	152	2	p	p	X
ejpam-6090	152	3	(	(	PUNCT
ejpam-6090	152	4	ι	ι	NOUN
ejpam-6090	152	5	)	)	PUNCT
ejpam-6090	153	1	|	|	ADV
ejpam-6090	153	2	∫	∫	INTJ
ejpam-6090	154	1	ι	ι	X
ejpam-6090	154	2	ι0	ι0	NOUN
ejpam-6090	155	1	|	|	INTJ
ejpam-6090	155	2	(	(	PUNCT
ejpam-6090	155	3	i	i	PRON
ejpam-6090	155	4	⊗h)(ι	⊗h)(ι	VERB
ejpam-6090	155	5	,	,	PUNCT
ejpam-6090	155	6	υ	υ	NOUN
ejpam-6090	155	7	)	)	PUNCT
ejpam-6090	155	8	|	|	ADV
ejpam-6090	155	9	∆υ	∆υ	PROPN
ejpam-6090	155	10	≤	≤	PROPN
ejpam-6090	155	11	c.	c.	NOUN
ejpam-6090	155	12	(	(	PUNCT
ejpam-6090	155	13	7	7	NUM
ejpam-6090	155	14	)	)	PUNCT
ejpam-6090	155	15	given	give	VERB
ejpam-6090	155	16	that	that	SCONJ
ejpam-6090	155	17	the	the	DET
ejpam-6090	155	18	function	function	NOUN
ejpam-6090	155	19	g	g	PROPN
ejpam-6090	155	20	is	be	AUX
ejpam-6090	155	21	bounded	bound	VERB
ejpam-6090	155	22	,	,	PUNCT
ejpam-6090	155	23	it	it	PRON
ejpam-6090	155	24	follows	follow	VERB
ejpam-6090	155	25	that	that	SCONJ
ejpam-6090	155	26	all	all	PRON
ejpam-6090	155	27	of	of	ADP
ejpam-6090	155	28	the	the	DET
ejpam-6090	155	29	solutions	solution	NOUN
ejpam-6090	155	30	to	to	ADP
ejpam-6090	155	31	the	the	DET
ejpam-6090	155	32	system	system	NOUN
ejpam-6090	155	33	(	(	PUNCT
ejpam-6090	155	34	2	2	X
ejpam-6090	155	35	)	)	PUNCT
ejpam-6090	155	36	are	be	AUX
ejpam-6090	155	37	also	also	ADV
ejpam-6090	155	38	bounded	bound	VERB
ejpam-6090	155	39	under	under	ADP
ejpam-6090	155	40	the	the	DET
ejpam-6090	155	41	same	same	ADJ
ejpam-6090	155	42	conditions	condition	NOUN
ejpam-6090	155	43	.	.	PUNCT
ejpam-6090	156	1	proof	proof	NOUN
ejpam-6090	156	2	.	.	PUNCT
ejpam-6090	157	1	for	for	ADP
ejpam-6090	157	2	a	a	DET
ejpam-6090	157	3	bounded	bounded	ADJ
ejpam-6090	157	4	function	function	NOUN
ejpam-6090	157	5	g	g	NOUN
ejpam-6090	157	6	,	,	PUNCT
ejpam-6090	157	7	there	there	PRON
ejpam-6090	157	8	exists	exist	VERB
ejpam-6090	157	9	a	a	DET
ejpam-6090	157	10	positive	positive	ADJ
ejpam-6090	157	11	constant	constant	ADJ
ejpam-6090	157	12	k	k	NOUN
ejpam-6090	157	13	that	that	PRON
ejpam-6090	157	14	is	be	AUX
ejpam-6090	157	15	such	such	ADJ
ejpam-6090	157	16	that	that	SCONJ
ejpam-6090	157	17	|	|	ADV
ejpam-6090	157	18	g(ι	g(ι	PROPN
ejpam-6090	157	19	)	)	PUNCT
ejpam-6090	157	20	|≤	|≤	PROPN
ejpam-6090	157	21	k,∀ι	k,∀ι	PROPN
ejpam-6090	157	22	∈	∈	PROPN
ejpam-6090	157	23	t.	t.	NOUN
ejpam-6090	157	24	let	let	VERB
ejpam-6090	157	25	z	z	NOUN
ejpam-6090	157	26	:	:	PUNCT
ejpam-6090	157	27	t	t	PROPN
ejpam-6090	157	28	→	→	SYM
ejpam-6090	157	29	r	r	NOUN
ejpam-6090	157	30	signify	signify	VERB
ejpam-6090	157	31	a	a	DET
ejpam-6090	157	32	solution	solution	NOUN
ejpam-6090	157	33	of	of	ADP
ejpam-6090	157	34	the	the	DET
ejpam-6090	157	35	ivp	ivp	ADJ
ejpam-6090	157	36	system	system	NOUN
ejpam-6090	157	37	(	(	PUNCT
ejpam-6090	157	38	2	2	NUM
ejpam-6090	157	39	)	)	PUNCT
ejpam-6090	157	40	.	.	PUNCT
ejpam-6090	158	1	given	give	VERB
ejpam-6090	158	2	that	that	SCONJ
ejpam-6090	158	3	z	z	NOUN
ejpam-6090	158	4	satisfies	satisfy	VERB
ejpam-6090	158	5	the	the	DET
ejpam-6090	158	6	criterion	criterion	NOUN
ejpam-6090	158	7	,	,	PUNCT
ejpam-6090	158	8	it	it	PRON
ejpam-6090	158	9	follows	follow	VERB
ejpam-6090	158	10	that	that	SCONJ
ejpam-6090	158	11	any	any	DET
ejpam-6090	158	12	ι	ι	X
ejpam-6090	158	13	>	>	X
ejpam-6090	158	14	ι0	ι0	PROPN
ejpam-6090	158	15	,	,	PUNCT
ejpam-6090	158	16	according	accord	VERB
ejpam-6090	158	17	to	to	ADP
ejpam-6090	158	18	theorem	theorem	NOUN
ejpam-6090	158	19	4	4	NUM
ejpam-6090	158	20	,	,	PUNCT
ejpam-6090	158	21	we	we	PRON
ejpam-6090	158	22	have	have	VERB
ejpam-6090	158	23	the	the	DET
ejpam-6090	158	24	following	follow	VERB
ejpam-6090	158	25	:	:	PUNCT
ejpam-6090	158	26	|	|	ADV
ejpam-6090	158	27	z(ι	z(ι	NUM
ejpam-6090	158	28	)	)	PUNCT
ejpam-6090	158	29	|	|	ADV
ejpam-6090	158	30	≤|	≤|	VERB
ejpam-6090	158	31	z0	z0	PROPN
ejpam-6090	159	1	|	|	PROPN
ejpam-6090	160	1	+	+	CCONJ
ejpam-6090	160	2	∫	∫	PROPN
ejpam-6090	160	3	ι	ι	X
ejpam-6090	160	4	0	0	NUM
ejpam-6090	161	1	ψp	ψp	PROPN
ejpam-6090	161	2	(	(	PUNCT
ejpam-6090	161	3	ι	ι	PROPN
ejpam-6090	161	4	,	,	PUNCT
ejpam-6090	161	5	σ(τ	σ(τ	PROPN
ejpam-6090	161	6	)	)	PUNCT
ejpam-6090	161	7	)	)	PUNCT
ejpam-6090	162	1	∫	∫	PROPN
ejpam-6090	163	1	r	r	NOUN
ejpam-6090	163	2	0	0	NUM
ejpam-6090	164	1	|	|	INTJ
ejpam-6090	164	2	(	(	PUNCT
ejpam-6090	164	3	i	i	PRON
ejpam-6090	164	4	⊗h)(τ	⊗h)(τ	NOUN
ejpam-6090	164	5	,	,	PUNCT
ejpam-6090	164	6	υ)z(υ	υ)z(υ	NOUN
ejpam-6090	164	7	)	)	PUNCT
ejpam-6090	164	8	|	|	CCONJ
ejpam-6090	164	9	∆υ∆τ	∆υ∆τ	NOUN
ejpam-6090	164	10	+	+	CCONJ
ejpam-6090	164	11	∫	∫	PROPN
ejpam-6090	164	12	ι	ι	X
ejpam-6090	164	13	0	0	NUM
ejpam-6090	164	14	ψp	ψp	PROPN
ejpam-6090	164	15	(	(	PUNCT
ejpam-6090	164	16	ι	ι	PROPN
ejpam-6090	164	17	,	,	PUNCT
ejpam-6090	164	18	σ(τ	σ(τ	PROPN
ejpam-6090	164	19	)	)	PUNCT
ejpam-6090	164	20	)	)	PUNCT
ejpam-6090	164	21	|	|	ADP
ejpam-6090	164	22	g(τ	g(τ	PROPN
ejpam-6090	164	23	)	)	PUNCT
ejpam-6090	164	24	|	|	ADV
ejpam-6090	164	25	∆τ	∆τ	NOUN
ejpam-6090	164	26	and	and	CCONJ
ejpam-6090	164	27	as	as	ADP
ejpam-6090	164	28	a	a	DET
ejpam-6090	164	29	result	result	NOUN
ejpam-6090	164	30	,	,	PUNCT
ejpam-6090	164	31	|	|	ADV
ejpam-6090	164	32	z(ι	z(ι	NUM
ejpam-6090	164	33	)	)	PUNCT
ejpam-6090	164	34	|	|	ADV
ejpam-6090	164	35	≤|	≤|	VERB
ejpam-6090	164	36	z0	z0	PROPN
ejpam-6090	165	1	|	|	PROPN
ejpam-6090	166	1	+	+	CCONJ
ejpam-6090	166	2	∫	∫	PROPN
ejpam-6090	166	3	ι	ι	X
ejpam-6090	166	4	0	0	NUM
ejpam-6090	166	5	ψp	ψp	PROPN
ejpam-6090	166	6	(	(	PUNCT
ejpam-6090	166	7	ι	ι	PROPN
ejpam-6090	166	8	,	,	PUNCT
ejpam-6090	166	9	σ(τ))|p	σ(τ))|p	NOUN
ejpam-6090	166	10	(	(	PUNCT
ejpam-6090	166	11	τ)|	τ)|	NOUN
ejpam-6090	166	12	∫	∫	PROPN
ejpam-6090	167	1	r	r	NOUN
ejpam-6090	167	2	0	0	NUM
ejpam-6090	168	1	|	|	INTJ
ejpam-6090	168	2	(	(	PUNCT
ejpam-6090	168	3	i	i	PRON
ejpam-6090	168	4	⊗h)(τ	⊗h)(τ	VERB
ejpam-6090	168	5	,	,	PUNCT
ejpam-6090	168	6	υ	υ	NOUN
ejpam-6090	168	7	)	)	PUNCT
ejpam-6090	169	1	|	|	ADV
ejpam-6090	170	1	|	|	ADV
ejpam-6090	170	2	p	p	X
ejpam-6090	170	3	(	(	PUNCT
ejpam-6090	170	4	τ	τ	NOUN
ejpam-6090	170	5	)	)	PUNCT
ejpam-6090	171	1	|	|	ADV
ejpam-6090	171	2	sup	sup	NOUN
ejpam-6090	171	3	υ∈[0,ι]t	υ∈[0,ι]t	NOUN
ejpam-6090	171	4	|	|	ADV
ejpam-6090	171	5	z(υ	z(υ	NOUN
ejpam-6090	171	6	)	)	PUNCT
ejpam-6090	171	7	|	|	ADV
ejpam-6090	171	8	∆υ∆τ	∆υ∆τ	NOUN
ejpam-6090	171	9	+	+	NOUN
ejpam-6090	171	10	k	k	PROPN
ejpam-6090	171	11	∫	∫	PROPN
ejpam-6090	171	12	ι	ι	X
ejpam-6090	171	13	0	0	NUM
ejpam-6090	171	14	1	1	NUM
ejpam-6090	172	1	|	|	ADV
ejpam-6090	172	2	p	p	X
ejpam-6090	172	3	(	(	PUNCT
ejpam-6090	172	4	τ	τ	NOUN
ejpam-6090	172	5	)	)	PUNCT
ejpam-6090	173	1	|	|	ADV
ejpam-6090	173	2	ψp	ψp	ADP
ejpam-6090	173	3	(	(	PUNCT
ejpam-6090	173	4	ι	ι	PROPN
ejpam-6090	173	5	,	,	PUNCT
ejpam-6090	173	6	σ(τ	σ(τ	PROPN
ejpam-6090	173	7	)	)	PUNCT
ejpam-6090	173	8	)	)	PUNCT
ejpam-6090	174	1	|	|	ADV
ejpam-6090	174	2	p	p	X
ejpam-6090	174	3	(	(	PUNCT
ejpam-6090	174	4	τ	τ	NOUN
ejpam-6090	174	5	)	)	PUNCT
ejpam-6090	174	6	|	|	ADV
ejpam-6090	174	7	∆τ	∆τ	PROPN
ejpam-6090	174	8	≤|	≤|	NOUN
ejpam-6090	174	9	z0	z0	PROPN
ejpam-6090	175	1	|	|	PROPN
ejpam-6090	175	2	+	+	PROPN
ejpam-6090	175	3	c	c	NOUN
ejpam-6090	175	4	sup	sup	NOUN
ejpam-6090	175	5	υ∈[0,ι]t	υ∈[0,ι]t	NOUN
ejpam-6090	175	6	|	|	ADV
ejpam-6090	175	7	z(υ	z(υ	NOUN
ejpam-6090	175	8	)	)	PUNCT
ejpam-6090	176	1	|	|	ADV
ejpam-6090	176	2	∫	∫	PROPN
ejpam-6090	176	3	ι	ι	X
ejpam-6090	176	4	0	0	NUM
ejpam-6090	176	5	ψp	ψp	PROPN
ejpam-6090	176	6	(	(	PUNCT
ejpam-6090	176	7	ι	ι	PROPN
ejpam-6090	176	8	,	,	PUNCT
ejpam-6090	176	9	σ(τ))|p	σ(τ))|p	NOUN
ejpam-6090	176	10	(	(	PUNCT
ejpam-6090	176	11	τ)|∆τ	τ)|∆τ	NUM
ejpam-6090	176	12	+	+	CCONJ
ejpam-6090	176	13	k	k	PROPN
ejpam-6090	176	14	ϕ	ϕ	X
ejpam-6090	176	15	∫	∫	PROPN
ejpam-6090	176	16	ι	ι	X
ejpam-6090	176	17	0	0	PROPN
ejpam-6090	176	18	ψp	ψp	PROPN
ejpam-6090	176	19	(	(	PUNCT
ejpam-6090	176	20	ι	ι	PROPN
ejpam-6090	176	21	,	,	PUNCT
ejpam-6090	176	22	σ(τ))|p	σ(τ))|p	NOUN
ejpam-6090	176	23	(	(	PUNCT
ejpam-6090	176	24	τ)|∆τ	τ)|∆τ	NOUN
ejpam-6090	176	25	.	.	PUNCT
ejpam-6090	177	1	by	by	ADP
ejpam-6090	177	2	utilizing	utilize	VERB
ejpam-6090	177	3	theorem	theorem	NOUN
ejpam-6090	177	4	4	4	NUM
ejpam-6090	177	5	,	,	PUNCT
ejpam-6090	177	6	we	we	PRON
ejpam-6090	177	7	obtain	obtain	VERB
ejpam-6090	177	8	|	|	ADV
ejpam-6090	177	9	z(ι	z(ι	NUM
ejpam-6090	177	10	)	)	PUNCT
ejpam-6090	177	11	|≤|	|≤|	NOUN
ejpam-6090	177	12	z0	z0	NOUN
ejpam-6090	178	1	|	|	PROPN
ejpam-6090	178	2	+	+	PROPN
ejpam-6090	178	3	c	c	NOUN
ejpam-6090	178	4	sup	sup	NOUN
ejpam-6090	178	5	υ∈[0,ι]t	υ∈[0,ι]t	NOUN
ejpam-6090	178	6	|	|	ADV
ejpam-6090	178	7	z(υ	z(υ	NOUN
ejpam-6090	178	8	)	)	PUNCT
ejpam-6090	179	1	|	|	ADV
ejpam-6090	180	1	+	+	CCONJ
ejpam-6090	180	2	k	k	PROPN
ejpam-6090	180	3	ϕ	ϕ	PROPN
ejpam-6090	180	4	,	,	PUNCT
ejpam-6090	180	5	we	we	PRON
ejpam-6090	180	6	can	can	AUX
ejpam-6090	180	7	now	now	ADV
ejpam-6090	180	8	reach	reach	VERB
ejpam-6090	180	9	the	the	DET
ejpam-6090	180	10	conclusion	conclusion	NOUN
ejpam-6090	180	11	that	that	SCONJ
ejpam-6090	180	12	sup	sup	VERB
ejpam-6090	180	13	υ∈[0,ι]t	υ∈[0,ι]t	NOUN
ejpam-6090	180	14	|	|	ADV
ejpam-6090	180	15	z(υ	z(υ	NOUN
ejpam-6090	180	16	)	)	PUNCT
ejpam-6090	181	1	|	|	ADV
ejpam-6090	181	2	≤|	≤|	VERB
ejpam-6090	181	3	z0	z0	PROPN
ejpam-6090	182	1	|	|	PROPN
ejpam-6090	182	2	+	+	PROPN
ejpam-6090	182	3	c	c	NOUN
ejpam-6090	182	4	sup	sup	NOUN
ejpam-6090	182	5	υ∈[0,ι]t	υ∈[0,ι]t	NOUN
ejpam-6090	182	6	|	|	ADV
ejpam-6090	182	7	z(υ	z(υ	NOUN
ejpam-6090	182	8	)	)	PUNCT
ejpam-6090	183	1	|	|	ADV
ejpam-6090	184	1	+	+	CCONJ
ejpam-6090	184	2	k	k	PROPN
ejpam-6090	184	3	ϕ	ϕ	PROPN
ejpam-6090	184	4	≤	≤	PUNCT
ejpam-6090	185	1	|	|	ADV
ejpam-6090	185	2	z0	z0	PROPN
ejpam-6090	186	1	|	|	PROPN
ejpam-6090	186	2	+	+	PROPN
ejpam-6090	186	3	k	k	PROPN
ejpam-6090	186	4	ϕ	ϕ	PROPN
ejpam-6090	186	5	1	1	NUM
ejpam-6090	186	6	−	−	PROPN
ejpam-6090	186	7	c	c	NOUN
ejpam-6090	186	8	.	.	PUNCT
ejpam-6090	187	1	this	this	PRON
ejpam-6090	187	2	proves	prove	VERB
ejpam-6090	187	3	that	that	SCONJ
ejpam-6090	187	4	the	the	DET
ejpam-6090	187	5	proof	proof	NOUN
ejpam-6090	187	6	is	be	AUX
ejpam-6090	187	7	complete	complete	ADJ
ejpam-6090	187	8	because	because	SCONJ
ejpam-6090	187	9	it	it	PRON
ejpam-6090	187	10	holds	hold	VERB
ejpam-6090	187	11	for	for	ADP
ejpam-6090	187	12	any	any	DET
ejpam-6090	187	13	arbitrary	arbitrary	ADJ
ejpam-6090	187	14	value	value	NOUN
ejpam-6090	187	15	of	of	ADP
ejpam-6090	187	16	ι	ι	X
ejpam-6090	187	17	>	>	X
ejpam-6090	187	18	ι0	ι0	PROPN
ejpam-6090	187	19	.	.	PUNCT
ejpam-6090	188	1	theorem	theorem	VERB
ejpam-6090	188	2	6	6	NUM
ejpam-6090	188	3	.	.	PUNCT
ejpam-6090	189	1	the	the	DET
ejpam-6090	189	2	subsequent	subsequent	ADJ
ejpam-6090	189	3	conditions	condition	NOUN
ejpam-6090	189	4	are	be	AUX
ejpam-6090	189	5	assumed	assume	VERB
ejpam-6090	189	6	to	to	PART
ejpam-6090	189	7	be	be	AUX
ejpam-6090	189	8	met	meet	VERB
ejpam-6090	189	9	.	.	PUNCT
ejpam-6090	190	1	ch	ch	NOUN
ejpam-6090	190	2	.	.	PUNCT
ejpam-6090	190	3	harisha	harisha	PROPN
ejpam-6090	190	4	,	,	PUNCT
ejpam-6090	190	5	b.	b.	PROPN
ejpam-6090	190	6	v.	v.	ADP
ejpam-6090	190	7	appa	appa	PROPN
ejpam-6090	190	8	rao	rao	PROPN
ejpam-6090	190	9	,	,	PUNCT
ejpam-6090	190	10	a.	a.	PROPN
ejpam-6090	190	11	sreenivasulu	sreenivasulu	PROPN
ejpam-6090	190	12	/	/	SYM
ejpam-6090	190	13	eur	eur	PROPN
ejpam-6090	190	14	.	.	PUNCT
ejpam-6090	191	1	j.	j.	PROPN
ejpam-6090	191	2	pure	pure	PROPN
ejpam-6090	191	3	appl	appl	PROPN
ejpam-6090	191	4	.	.	PROPN
ejpam-6090	191	5	math	math	PROPN
ejpam-6090	191	6	,	,	PUNCT
ejpam-6090	191	7	18	18	NUM
ejpam-6090	191	8	(	(	PUNCT
ejpam-6090	191	9	2	2	NUM
ejpam-6090	191	10	)	)	PUNCT
ejpam-6090	191	11	(	(	PUNCT
ejpam-6090	191	12	2025	2025	NUM
ejpam-6090	191	13	)	)	PUNCT
ejpam-6090	191	14	,	,	PUNCT
ejpam-6090	191	15	6090	6090	NUM
ejpam-6090	191	16	7	7	NUM
ejpam-6090	191	17	of	of	ADP
ejpam-6090	191	18	13	13	NUM
ejpam-6090	191	19	a.	a.	NOUN
ejpam-6090	191	20	in	in	ADP
ejpam-6090	191	21	the	the	DET
ejpam-6090	191	22	real	real	ADJ
ejpam-6090	191	23	number	number	NOUN
ejpam-6090	191	24	system	system	NOUN
ejpam-6090	191	25	,	,	PUNCT
ejpam-6090	191	26	there	there	PRON
ejpam-6090	191	27	is	be	VERB
ejpam-6090	191	28	a	a	DET
ejpam-6090	191	29	positive	positive	ADJ
ejpam-6090	191	30	real	real	ADJ
ejpam-6090	191	31	number	number	NOUN
ejpam-6090	191	32	η	η	PROPN
ejpam-6090	191	33	that	that	PRON
ejpam-6090	191	34	is	be	AUX
ejpam-6090	191	35	included	include	VERB
ejpam-6090	191	36	within	within	ADP
ejpam-6090	191	37	the	the	DET
ejpam-6090	191	38	real	real	ADJ
ejpam-6090	191	39	number	number	NOUN
ejpam-6090	191	40	system	system	NOUN
ejpam-6090	191	41	r+	r+	PUNCT
ejpam-6090	191	42	.	.	PUNCT
ejpam-6090	192	1	additionally	additionally	ADV
ejpam-6090	192	2	,	,	PUNCT
ejpam-6090	192	3	there	there	PRON
ejpam-6090	192	4	is	be	VERB
ejpam-6090	192	5	a	a	DET
ejpam-6090	192	6	positive	positive	ADJ
ejpam-6090	192	7	constant	constant	ADJ
ejpam-6090	192	8	l.	l.	NOUN
ejpam-6090	192	9	to	to	ADP
ejpam-6090	192	10	the	the	DET
ejpam-6090	192	11	extent	extent	NOUN
ejpam-6090	192	12	that	that	SCONJ
ejpam-6090	193	1	|	|	INTJ
ejpam-6090	193	2	(	(	PUNCT
ejpam-6090	193	3	i	i	PRON
ejpam-6090	193	4	⊗h)(τ	⊗h)(τ	VERB
ejpam-6090	193	5	,	,	PUNCT
ejpam-6090	193	6	υ	υ	NOUN
ejpam-6090	193	7	)	)	PUNCT
ejpam-6090	193	8	|≤	|≤	ADJ
ejpam-6090	193	9	lψ(−η)⊕(−η)(σ(τ	lψ(−η)⊕(−η)(σ(τ	NOUN
ejpam-6090	193	10	)	)	PUNCT
ejpam-6090	193	11	,	,	PUNCT
ejpam-6090	193	12	0	0	NUM
ejpam-6090	193	13	)	)	PUNCT
ejpam-6090	193	14	,	,	PUNCT
ejpam-6090	193	15	0	0	NUM
ejpam-6090	193	16	≤	≤	NUM
ejpam-6090	193	17	υ	υ	PRON
ejpam-6090	193	18	≤	≤	PROPN
ejpam-6090	193	19	τ	τ	X
ejpam-6090	193	20	,	,	PUNCT
ejpam-6090	193	21	b.	b.	PROPN
ejpam-6090	193	22	suppose	suppose	VERB
ejpam-6090	193	23	that	that	SCONJ
ejpam-6090	193	24	p	p	PROPN
ejpam-6090	193	25	is	be	AUX
ejpam-6090	193	26	an	an	DET
ejpam-6090	193	27	element	element	NOUN
ejpam-6090	193	28	of	of	ADP
ejpam-6090	193	29	r+	r+	NOUN
ejpam-6090	193	30	,	,	PUNCT
ejpam-6090	193	31	and	and	CCONJ
ejpam-6090	193	32	that	that	SCONJ
ejpam-6090	193	33	there	there	PRON
ejpam-6090	193	34	is	be	VERB
ejpam-6090	193	35	a	a	DET
ejpam-6090	193	36	positive	positive	ADJ
ejpam-6090	193	37	constant	constant	ADJ
ejpam-6090	193	38	−ϕ	−ϕ	NOUN
ejpam-6090	193	39	that	that	PRON
ejpam-6090	193	40	is	be	AUX
ejpam-6090	193	41	also	also	ADV
ejpam-6090	193	42	a	a	DET
ejpam-6090	193	43	member	member	NOUN
ejpam-6090	193	44	of	of	ADP
ejpam-6090	193	45	r+	r+	PROPN
ejpam-6090	193	46	.	.	PUNCT
ejpam-6090	194	1	and	and	CCONJ
ejpam-6090	194	2	p	p	X
ejpam-6090	194	3	(	(	PUNCT
ejpam-6090	194	4	ι	ι	NOUN
ejpam-6090	194	5	)	)	PUNCT
ejpam-6090	194	6	≤	≤	NOUN
ejpam-6090	195	1	−ϕ	−ϕ	ADV
ejpam-6090	195	2	<	<	X
ejpam-6090	195	3	0	0	NUM
ejpam-6090	195	4	,	,	PUNCT
ejpam-6090	195	5	(	(	PUNCT
ejpam-6090	195	6	8)	8)	NUM
ejpam-6090	195	7	c.	c.	NOUN
ejpam-6090	195	8	ϕ	ϕ	PROPN
ejpam-6090	195	9	<	<	X
ejpam-6090	195	10	η	η	PROPN
ejpam-6090	195	11	d.	d.	PROPN
ejpam-6090	195	12	g	g	PROPN
ejpam-6090	195	13	is	be	AUX
ejpam-6090	195	14	a	a	DET
ejpam-6090	195	15	bounded	bounded	ADJ
ejpam-6090	195	16	function	function	NOUN
ejpam-6090	195	17	.	.	PUNCT
ejpam-6090	196	1	if	if	SCONJ
ejpam-6090	196	2	this	this	PRON
ejpam-6090	196	3	is	be	AUX
ejpam-6090	196	4	the	the	DET
ejpam-6090	196	5	case	case	NOUN
ejpam-6090	196	6	,	,	PUNCT
ejpam-6090	196	7	then	then	ADV
ejpam-6090	196	8	the	the	DET
ejpam-6090	196	9	system	system	NOUN
ejpam-6090	196	10	(	(	PUNCT
ejpam-6090	196	11	2	2	X
ejpam-6090	196	12	)	)	PUNCT
ejpam-6090	196	13	demonstrates	demonstrate	VERB
ejpam-6090	196	14	exponential	exponential	ADJ
ejpam-6090	196	15	stability	stability	NOUN
ejpam-6090	196	16	.	.	PUNCT
ejpam-6090	197	1	proof	proof	NOUN
ejpam-6090	197	2	.	.	PUNCT
ejpam-6090	198	1	let	let	VERB
ejpam-6090	198	2	z	z	NOUN
ejpam-6090	198	3	:	:	PUNCT
ejpam-6090	198	4	t	t	PROPN
ejpam-6090	198	5	→	→	SYM
ejpam-6090	198	6	r	r	AUX
ejpam-6090	198	7	express	express	VERB
ejpam-6090	198	8	a	a	DET
ejpam-6090	198	9	solution	solution	NOUN
ejpam-6090	198	10	to	to	ADP
ejpam-6090	198	11	the	the	DET
ejpam-6090	198	12	homogeneous	homogeneous	ADJ
ejpam-6090	198	13	equation	equation	NOUN
ejpam-6090	198	14	that	that	PRON
ejpam-6090	198	15	is	be	AUX
ejpam-6090	198	16	associated	associate	VERB
ejpam-6090	198	17	with	with	ADP
ejpam-6090	198	18	the	the	DET
ejpam-6090	198	19	system	system	NOUN
ejpam-6090	198	20	that	that	PRON
ejpam-6090	198	21	is	be	AUX
ejpam-6090	198	22	described	describe	VERB
ejpam-6090	198	23	in	in	ADP
ejpam-6090	198	24	(	(	PUNCT
ejpam-6090	198	25	2	2	NUM
ejpam-6090	198	26	)	)	PUNCT
ejpam-6090	198	27	.	.	PUNCT
ejpam-6090	199	1	consider	consider	VERB
ejpam-6090	199	2	the	the	DET
ejpam-6090	199	3	fact	fact	NOUN
ejpam-6090	199	4	that	that	SCONJ
ejpam-6090	199	5	if	if	SCONJ
ejpam-6090	199	6	g	g	PROPN
ejpam-6090	199	7	is	be	AUX
ejpam-6090	199	8	bounded	bound	VERB
ejpam-6090	199	9	,	,	PUNCT
ejpam-6090	199	10	then	then	ADV
ejpam-6090	199	11	z	z	PROPN
ejpam-6090	199	12	will	will	AUX
ejpam-6090	199	13	also	also	ADV
ejpam-6090	199	14	be	be	AUX
ejpam-6090	199	15	bounded	bound	VERB
ejpam-6090	199	16	and	and	CCONJ
ejpam-6090	199	17	will	will	AUX
ejpam-6090	199	18	fulfill	fulfill	VERB
ejpam-6090	199	19	the	the	DET
ejpam-6090	199	20	conditions	condition	NOUN
ejpam-6090	199	21	that	that	PRON
ejpam-6090	199	22	relate	relate	VERB
ejpam-6090	199	23	to	to	ADP
ejpam-6090	199	24	it	it	PRON
ejpam-6090	199	25	.	.	PUNCT
ejpam-6090	200	1	this	this	PRON
ejpam-6090	200	2	is	be	AUX
ejpam-6090	200	3	an	an	DET
ejpam-6090	200	4	important	important	ADJ
ejpam-6090	200	5	observation	observation	NOUN
ejpam-6090	200	6	to	to	PART
ejpam-6090	200	7	make	make	VERB
ejpam-6090	200	8	.	.	PUNCT
ejpam-6090	201	1	z(ι	z(ι	VERB
ejpam-6090	201	2	)	)	PUNCT
ejpam-6090	202	1	=	=	SYM
ejpam-6090	202	2	ψp	ψp	PROPN
ejpam-6090	202	3	(	(	PUNCT
ejpam-6090	202	4	ι	ι	PROPN
ejpam-6090	202	5	,	,	PUNCT
ejpam-6090	202	6	0)z0	0)z0	PROPN
ejpam-6090	202	7	+	+	CCONJ
ejpam-6090	202	8	∫	∫	PROPN
ejpam-6090	202	9	ι	ι	X
ejpam-6090	202	10	0	0	NUM
ejpam-6090	202	11	ψp	ψp	PROPN
ejpam-6090	202	12	(	(	PUNCT
ejpam-6090	202	13	ι	ι	PROPN
ejpam-6090	202	14	,	,	PUNCT
ejpam-6090	202	15	σ(τ	σ(τ	PROPN
ejpam-6090	202	16	)	)	PUNCT
ejpam-6090	202	17	)	)	PUNCT
ejpam-6090	202	18	∫	∫	PROPN
ejpam-6090	203	1	ι	ι	X
ejpam-6090	203	2	0	0	PUNCT
ejpam-6090	204	1	(	(	PUNCT
ejpam-6090	204	2	i	i	PRON
ejpam-6090	204	3	⊗h)(τ	⊗h)(τ	VERB
ejpam-6090	204	4	,	,	PUNCT
ejpam-6090	204	5	υ)z(υ)∆υ∆τ	υ)z(υ)∆υ∆τ	PROPN
ejpam-6090	204	6	.	.	PUNCT
ejpam-6090	205	1	consequently	consequently	ADV
ejpam-6090	205	2	,	,	PUNCT
ejpam-6090	205	3	for	for	ADP
ejpam-6090	205	4	an	an	DET
ejpam-6090	205	5	arbitrary	arbitrary	ADJ
ejpam-6090	205	6	value	value	NOUN
ejpam-6090	205	7	of	of	ADP
ejpam-6090	205	8	ι	ι	X
ejpam-6090	205	9	>	>	PUNCT
ejpam-6090	205	10	ι0	ι0	NOUN
ejpam-6090	205	11	we	we	PRON
ejpam-6090	205	12	derive	derive	VERB
ejpam-6090	205	13	|	|	ADV
ejpam-6090	205	14	z(ι	z(ι	NUM
ejpam-6090	205	15	)	)	PUNCT
ejpam-6090	205	16	|=	|=	NOUN
ejpam-6090	205	17	tψp	tψp	NOUN
ejpam-6090	205	18	(	(	PUNCT
ejpam-6090	205	19	ι	ι	NOUN
ejpam-6090	205	20	,	,	PUNCT
ejpam-6090	205	21	0	0	NUM
ejpam-6090	205	22	)	)	PUNCT
ejpam-6090	206	1	+	+	NUM
ejpam-6090	206	2	t	t	X
ejpam-6090	206	3	∫	∫	PROPN
ejpam-6090	206	4	ι	ι	X
ejpam-6090	206	5	0	0	NUM
ejpam-6090	206	6	ψp	ψp	PROPN
ejpam-6090	206	7	(	(	PUNCT
ejpam-6090	206	8	ι	ι	PROPN
ejpam-6090	206	9	,	,	PUNCT
ejpam-6090	206	10	σ(τ	σ(τ	PROPN
ejpam-6090	206	11	)	)	PUNCT
ejpam-6090	206	12	)	)	PUNCT
ejpam-6090	206	13	∫	∫	PROPN
ejpam-6090	206	14	ι	ι	X
ejpam-6090	206	15	0	0	PUNCT
ejpam-6090	207	1	(	(	PUNCT
ejpam-6090	207	2	i	i	PRON
ejpam-6090	207	3	⊗h)(τ	⊗h)(τ	NOUN
ejpam-6090	207	4	,	,	PUNCT
ejpam-6090	207	5	υ)z(υ)∆υ∆τ	υ)z(υ)∆υ∆τ	NOUN
ejpam-6090	207	6	,	,	PUNCT
ejpam-6090	207	7	(	(	PUNCT
ejpam-6090	207	8	9	9	NUM
ejpam-6090	207	9	)	)	PUNCT
ejpam-6090	207	10	where	where	SCONJ
ejpam-6090	207	11	supι∈t	supι∈t	ADJ
ejpam-6090	207	12	|	|	NOUN
ejpam-6090	207	13	z(ι	z(ι	NUM
ejpam-6090	207	14	)	)	PUNCT
ejpam-6090	207	15	|≤	|≤	PROPN
ejpam-6090	207	16	t.	t.	NOUN
ejpam-6090	208	1	it	it	PRON
ejpam-6090	208	2	is	be	AUX
ejpam-6090	208	3	important	important	ADJ
ejpam-6090	208	4	to	to	PART
ejpam-6090	208	5	note	note	VERB
ejpam-6090	208	6	that	that	SCONJ
ejpam-6090	208	7	,	,	PUNCT
ejpam-6090	208	8	based	base	VERB
ejpam-6090	208	9	on	on	ADP
ejpam-6090	208	10	the	the	DET
ejpam-6090	208	11	characteristic	characteristic	NOUN
ejpam-6090	208	12	of	of	ADP
ejpam-6090	208	13	the	the	DET
ejpam-6090	208	14	exponential	exponential	ADJ
ejpam-6090	208	15	function	function	NOUN
ejpam-6090	208	16	and	and	CCONJ
ejpam-6090	208	17	the	the	DET
ejpam-6090	208	18	observations	observation	NOUN
ejpam-6090	208	19	made	make	VERB
ejpam-6090	208	20	in	in	ADP
ejpam-6090	208	21	remark	remark	NOUN
ejpam-6090	208	22	1	1	NUM
ejpam-6090	208	23	for	for	ADP
ejpam-6090	208	24	the	the	DET
ejpam-6090	208	25	range	range	NOUN
ejpam-6090	208	26	0	0	NUM
ejpam-6090	208	27	≤	≤	NUM
ejpam-6090	208	28	s	s	AUX
ejpam-6090	208	29	≤	≤	ADJ
ejpam-6090	208	30	r	r	NOUN
ejpam-6090	208	31	we	we	PRON
ejpam-6090	208	32	can	can	AUX
ejpam-6090	208	33	conclude	conclude	VERB
ejpam-6090	208	34	the	the	DET
ejpam-6090	208	35	following	follow	VERB
ejpam-6090	209	1	|	|	INTJ
ejpam-6090	209	2	(	(	PUNCT
ejpam-6090	209	3	i	i	PRON
ejpam-6090	209	4	⊗h)(τ	⊗h)(τ	VERB
ejpam-6090	209	5	,	,	PUNCT
ejpam-6090	209	6	υ	υ	NOUN
ejpam-6090	209	7	)	)	PUNCT
ejpam-6090	209	8	|≤	|≤	PROPN
ejpam-6090	209	9	lψ−η(σ(τ	lψ−η(σ(τ	PROPN
ejpam-6090	209	10	)	)	PUNCT
ejpam-6090	209	11	,	,	PUNCT
ejpam-6090	209	12	0)ψ−η(τ	0)ψ−η(τ	PROPN
ejpam-6090	209	13	,	,	PUNCT
ejpam-6090	209	14	σ(υ	σ(υ	NOUN
ejpam-6090	209	15	)	)	PUNCT
ejpam-6090	209	16	)	)	PUNCT
ejpam-6090	210	1	utilizing	utilize	VERB
ejpam-6090	210	2	the	the	DET
ejpam-6090	210	3	aforementioned	aforementioned	ADJ
ejpam-6090	210	4	estimation	estimation	NOUN
ejpam-6090	210	5	in	in	ADP
ejpam-6090	210	6	relation	relation	NOUN
ejpam-6090	210	7	to	to	ADP
ejpam-6090	210	8	(	(	PUNCT
ejpam-6090	210	9	9	9	X
ejpam-6090	210	10	)	)	PUNCT
ejpam-6090	210	11	results	result	NOUN
ejpam-6090	210	12	in	in	ADP
ejpam-6090	210	13	.	.	PUNCT
ejpam-6090	211	1	|	|	ADV
ejpam-6090	211	2	z(ι	z(ι	NUM
ejpam-6090	211	3	)	)	PUNCT
ejpam-6090	211	4	|=	|=	NOUN
ejpam-6090	211	5	tψp	tψp	NOUN
ejpam-6090	211	6	(	(	PUNCT
ejpam-6090	211	7	ι	ι	NOUN
ejpam-6090	211	8	,	,	PUNCT
ejpam-6090	211	9	0	0	NUM
ejpam-6090	211	10	)	)	PUNCT
ejpam-6090	211	11	+	+	CCONJ
ejpam-6090	212	1	tl	tl	PROPN
ejpam-6090	212	2	∫	∫	PROPN
ejpam-6090	212	3	ι	ι	X
ejpam-6090	212	4	0	0	NUM
ejpam-6090	212	5	ψp	ψp	PROPN
ejpam-6090	212	6	(	(	PUNCT
ejpam-6090	212	7	ι	ι	PROPN
ejpam-6090	212	8	,	,	PUNCT
ejpam-6090	212	9	σ(τ	σ(τ	PROPN
ejpam-6090	212	10	)	)	PUNCT
ejpam-6090	212	11	)	)	PUNCT
ejpam-6090	212	12	∫	∫	PROPN
ejpam-6090	212	13	ι	ι	X
ejpam-6090	212	14	0	0	NUM
ejpam-6090	212	15	ψ−η(σ(τ	ψ−η(σ(τ	NOUN
ejpam-6090	212	16	)	)	PUNCT
ejpam-6090	212	17	,	,	PUNCT
ejpam-6090	212	18	0)ψ−η(τ	0)ψ−η(τ	PROPN
ejpam-6090	212	19	,	,	PUNCT
ejpam-6090	212	20	σ(υ))∆υ∆τ	σ(υ))∆υ∆τ	PROPN
ejpam-6090	212	21	.	.	NOUN
ejpam-6090	213	1	from	from	ADP
ejpam-6090	213	2	equation	equation	NOUN
ejpam-6090	213	3	(	(	PUNCT
ejpam-6090	213	4	8)	8)	NUM
ejpam-6090	213	5	and	and	CCONJ
ejpam-6090	213	6	theorem	theorem	VERB
ejpam-6090	213	7	1	1	NUM
ejpam-6090	213	8	,	,	PUNCT
ejpam-6090	213	9	it	it	PRON
ejpam-6090	213	10	can	can	AUX
ejpam-6090	213	11	be	be	AUX
ejpam-6090	213	12	concluded	conclude	VERB
ejpam-6090	213	13	that	that	SCONJ
ejpam-6090	213	14	ψp	ψp	ADP
ejpam-6090	213	15	(	(	PUNCT
ejpam-6090	213	16	ι	ι	PROPN
ejpam-6090	213	17	,	,	PUNCT
ejpam-6090	213	18	0	0	NUM
ejpam-6090	213	19	)	)	PUNCT
ejpam-6090	213	20	≤	≤	NUM
ejpam-6090	213	21	ψ−ϕ(ι	ψ−ϕ(ι	NOUN
ejpam-6090	213	22	,	,	PUNCT
ejpam-6090	213	23	0	0	NUM
ejpam-6090	213	24	)	)	PUNCT
ejpam-6090	213	25	,	,	PUNCT
ejpam-6090	213	26	and	and	CCONJ
ejpam-6090	213	27	ψp	ψp	PROPN
ejpam-6090	213	28	(	(	PUNCT
ejpam-6090	213	29	ι	ι	PROPN
ejpam-6090	213	30	,	,	PUNCT
ejpam-6090	213	31	σ(τ	σ(τ	PROPN
ejpam-6090	213	32	)	)	PUNCT
ejpam-6090	213	33	)	)	PUNCT
ejpam-6090	213	34	≤	≤	NUM
ejpam-6090	213	35	ψ−ϕ(ι	ψ−ϕ(ι	NOUN
ejpam-6090	213	36	,	,	PUNCT
ejpam-6090	213	37	σ(τ	σ(τ	PROPN
ejpam-6090	213	38	)	)	PUNCT
ejpam-6090	213	39	)	)	PUNCT
ejpam-6090	213	40	,	,	PUNCT
ejpam-6090	213	41	∀	∀	X
ejpam-6090	213	42	0	0	NUM
ejpam-6090	213	43	,	,	PUNCT
ejpam-6090	213	44	σ(τ	σ(τ	NOUN
ejpam-6090	213	45	)	)	PUNCT
ejpam-6090	213	46	≤	≤	NOUN
ejpam-6090	214	1	ι	ι	X
ejpam-6090	214	2	.	.	PUNCT
ejpam-6090	215	1	as	as	ADP
ejpam-6090	215	2	a	a	DET
ejpam-6090	215	3	result	result	NOUN
ejpam-6090	215	4	,	,	PUNCT
ejpam-6090	215	5	we	we	PRON
ejpam-6090	215	6	obtain	obtain	VERB
ejpam-6090	215	7	|	|	ADV
ejpam-6090	215	8	z(ι	z(ι	NUM
ejpam-6090	215	9	)	)	PUNCT
ejpam-6090	215	10	|=	|=	NOUN
ejpam-6090	215	11	tψ−ϕ(ι	tψ−ϕ(ι	NOUN
ejpam-6090	215	12	,	,	PUNCT
ejpam-6090	215	13	0	0	NUM
ejpam-6090	215	14	)	)	PUNCT
ejpam-6090	216	1	+	+	CCONJ
ejpam-6090	216	2	tl	tl	PROPN
ejpam-6090	216	3	∫	∫	PROPN
ejpam-6090	216	4	ι	ι	X
ejpam-6090	216	5	0	0	NUM
ejpam-6090	216	6	ψ−ϕ(ι	ψ−ϕ(ι	NOUN
ejpam-6090	216	7	,	,	PUNCT
ejpam-6090	216	8	σ(τ))ψ−η(σ(τ	σ(τ))ψ−η(σ(τ	PROPN
ejpam-6090	216	9	)	)	PUNCT
ejpam-6090	216	10	,	,	PUNCT
ejpam-6090	216	11	0	0	NUM
ejpam-6090	216	12	)	)	PUNCT
ejpam-6090	216	13	∫	∫	PROPN
ejpam-6090	217	1	ι	ι	X
ejpam-6090	217	2	0	0	NUM
ejpam-6090	217	3	ψ−η(τ	ψ−η(τ	NOUN
ejpam-6090	217	4	,	,	PUNCT
ejpam-6090	217	5	σ(υ))∆υ∆τ	σ(υ))∆υ∆τ	PROPN
ejpam-6090	217	6	.	.	PUNCT
ejpam-6090	218	1	ch	ch	PROPN
ejpam-6090	218	2	.	.	PUNCT
ejpam-6090	218	3	harisha	harisha	PROPN
ejpam-6090	218	4	,	,	PUNCT
ejpam-6090	218	5	b.	b.	PROPN
ejpam-6090	218	6	v.	v.	ADP
ejpam-6090	218	7	appa	appa	PROPN
ejpam-6090	218	8	rao	rao	PROPN
ejpam-6090	218	9	,	,	PUNCT
ejpam-6090	218	10	a.	a.	PROPN
ejpam-6090	218	11	sreenivasulu	sreenivasulu	PROPN
ejpam-6090	218	12	/	/	SYM
ejpam-6090	218	13	eur	eur	PROPN
ejpam-6090	218	14	.	.	PUNCT
ejpam-6090	219	1	j.	j.	PROPN
ejpam-6090	219	2	pure	pure	PROPN
ejpam-6090	219	3	appl	appl	PROPN
ejpam-6090	219	4	.	.	PROPN
ejpam-6090	219	5	math	math	PROPN
ejpam-6090	219	6	,	,	PUNCT
ejpam-6090	219	7	18	18	NUM
ejpam-6090	219	8	(	(	PUNCT
ejpam-6090	219	9	2	2	NUM
ejpam-6090	219	10	)	)	PUNCT
ejpam-6090	219	11	(	(	PUNCT
ejpam-6090	219	12	2025	2025	NUM
ejpam-6090	219	13	)	)	PUNCT
ejpam-6090	219	14	,	,	PUNCT
ejpam-6090	219	15	6090	6090	NUM
ejpam-6090	219	16	8	8	NUM
ejpam-6090	219	17	of	of	ADP
ejpam-6090	219	18	13	13	NUM
ejpam-6090	219	19	by	by	ADP
ejpam-6090	219	20	applying	apply	VERB
ejpam-6090	219	21	the	the	DET
ejpam-6090	219	22	characteristics	characteristic	NOUN
ejpam-6090	219	23	of	of	ADP
ejpam-6090	219	24	the	the	DET
ejpam-6090	219	25	exponential	exponential	ADJ
ejpam-6090	219	26	function	function	NOUN
ejpam-6090	220	1	,	,	PUNCT
ejpam-6090	220	2	we	we	PRON
ejpam-6090	220	3	derive	derive	VERB
ejpam-6090	220	4	ψ−ϕ(ι	ψ−ϕ(ι	NOUN
ejpam-6090	220	5	,	,	PUNCT
ejpam-6090	220	6	σ(τ))ψ−η(σ(τ	σ(τ))ψ−η(σ(τ	PROPN
ejpam-6090	220	7	)	)	PUNCT
ejpam-6090	220	8	,	,	PUNCT
ejpam-6090	220	9	0	0	X
ejpam-6090	220	10	)	)	PUNCT
ejpam-6090	220	11	=	=	NOUN
ejpam-6090	220	12	ψ−ϕ(ι	ψ−ϕ(ι	NOUN
ejpam-6090	220	13	,	,	PUNCT
ejpam-6090	220	14	0)ψ(−η)⊖(−ϕ)(σ(τ	0)ψ(−η)⊖(−ϕ)(σ(τ	NUM
ejpam-6090	220	15	)	)	PUNCT
ejpam-6090	220	16	,	,	PUNCT
ejpam-6090	220	17	0	0	NUM
ejpam-6090	220	18	)	)	PUNCT
ejpam-6090	220	19	.	.	PUNCT
ejpam-6090	221	1	according	accord	VERB
ejpam-6090	221	2	to	to	ADP
ejpam-6090	221	3	theorem	theorem	NOUN
ejpam-6090	221	4	1	1	NUM
ejpam-6090	221	5	,	,	PUNCT
ejpam-6090	221	6	we	we	PRON
ejpam-6090	221	7	can	can	AUX
ejpam-6090	221	8	conclude	conclude	VERB
ejpam-6090	221	9	that∫	that∫	NOUN
ejpam-6090	221	10	ι	ι	X
ejpam-6090	221	11	0	0	NUM
ejpam-6090	221	12	ψ−η(τ	ψ−η(τ	NOUN
ejpam-6090	221	13	,	,	PUNCT
ejpam-6090	221	14	σ(υ))∆υ	σ(υ))∆υ	ADJ
ejpam-6090	221	15	=	=	SYM
ejpam-6090	221	16	1	1	NUM
ejpam-6090	221	17	η	η	X
ejpam-6090	221	18	(	(	PUNCT
ejpam-6090	221	19	1	1	NUM
ejpam-6090	221	20	−	−	NOUN
ejpam-6090	221	21	ψ−η(τ	ψ−η(τ	NOUN
ejpam-6090	221	22	,	,	PUNCT
ejpam-6090	221	23	0	0	NUM
ejpam-6090	221	24	)	)	PUNCT
ejpam-6090	221	25	.	.	PUNCT
ejpam-6090	222	1	therefore	therefore	ADV
ejpam-6090	222	2	,	,	PUNCT
ejpam-6090	222	3	|	|	ADV
ejpam-6090	222	4	z(ι	z(ι	NUM
ejpam-6090	222	5	)	)	PUNCT
ejpam-6090	223	1	|	|	ADV
ejpam-6090	223	2	=	=	SYM
ejpam-6090	223	3	tψ−ϕ(ι	tψ−ϕ(ι	NOUN
ejpam-6090	223	4	,	,	PUNCT
ejpam-6090	223	5	0	0	NUM
ejpam-6090	223	6	)	)	PUNCT
ejpam-6090	224	1	+	+	CCONJ
ejpam-6090	224	2	tl	tl	PROPN
ejpam-6090	224	3	η	η	PROPN
ejpam-6090	224	4	ψ−ϕ(ι	ψ−ϕ(ι	NOUN
ejpam-6090	224	5	,	,	PUNCT
ejpam-6090	224	6	0	0	NUM
ejpam-6090	224	7	)	)	PUNCT
ejpam-6090	224	8	∫	∫	PROPN
ejpam-6090	225	1	ι	ι	X
ejpam-6090	225	2	0	0	NUM
ejpam-6090	225	3	ψ(−η)⊖(−ϕ)(σ(τ	ψ(−η)⊖(−ϕ)(σ(τ	NOUN
ejpam-6090	225	4	)	)	PUNCT
ejpam-6090	225	5	,	,	PUNCT
ejpam-6090	225	6	0)(1	0)(1	NUM
ejpam-6090	225	7	−	−	NOUN
ejpam-6090	225	8	ψ−η(τ	ψ−η(τ	NOUN
ejpam-6090	225	9	,	,	PUNCT
ejpam-6090	226	1	0))∆τ	0))∆τ	NOUN
ejpam-6090	226	2	≤	≤	NUM
ejpam-6090	226	3	tψ−ϕ(ι	tψ−ϕ(ι	NOUN
ejpam-6090	226	4	,	,	PUNCT
ejpam-6090	226	5	0	0	NUM
ejpam-6090	226	6	)	)	PUNCT
ejpam-6090	226	7	+	+	CCONJ
ejpam-6090	226	8	tl	tl	PROPN
ejpam-6090	226	9	η	η	PROPN
ejpam-6090	226	10	ψ−ϕ(ι	ψ−ϕ(ι	NOUN
ejpam-6090	226	11	,	,	PUNCT
ejpam-6090	226	12	0	0	NUM
ejpam-6090	226	13	)	)	PUNCT
ejpam-6090	226	14	∫	∫	PROPN
ejpam-6090	226	15	ι	ι	X
ejpam-6090	226	16	0	0	NUM
ejpam-6090	226	17	ψ(−η)⊖(−ϕ)(σ(τ	ψ(−η)⊖(−ϕ)(σ(τ	ADJ
ejpam-6090	226	18	)	)	PUNCT
ejpam-6090	226	19	,	,	PUNCT
ejpam-6090	226	20	0)∆τ	0)∆τ	NUM
ejpam-6090	226	21	.	.	PUNCT
ejpam-6090	227	1	the	the	DET
ejpam-6090	227	2	expression	expression	NOUN
ejpam-6090	227	3	ψ(−η)⊖(−ϕ)(σ(τ	ψ(−η)⊖(−ϕ)(σ(τ	NOUN
ejpam-6090	227	4	)	)	PUNCT
ejpam-6090	227	5	,	,	PUNCT
ejpam-6090	227	6	0)ψ−η(τ	0)ψ−η(τ	PROPN
ejpam-6090	227	7	,	,	PUNCT
ejpam-6090	227	8	0	0	NUM
ejpam-6090	227	9	)	)	PUNCT
ejpam-6090	227	10	yields	yield	VERB
ejpam-6090	227	11	positive	positive	ADJ
ejpam-6090	227	12	values	value	NOUN
ejpam-6090	227	13	.	.	PUNCT
ejpam-6090	228	1	based	base	VERB
ejpam-6090	228	2	on	on	ADP
ejpam-6090	228	3	the	the	DET
ejpam-6090	228	4	assumptions	assumption	NOUN
ejpam-6090	228	5	regarding	regard	VERB
ejpam-6090	228	6	the	the	DET
ejpam-6090	228	7	constant	constant	ADJ
ejpam-6090	228	8	η	η	PROPN
ejpam-6090	228	9	and	and	CCONJ
ejpam-6090	228	10	ϕ	ϕ	NOUN
ejpam-6090	228	11	it	it	PRON
ejpam-6090	228	12	can	can	AUX
ejpam-6090	228	13	be	be	AUX
ejpam-6090	228	14	concluded	conclude	VERB
ejpam-6090	228	15	that	that	SCONJ
ejpam-6090	228	16	(	(	PUNCT
ejpam-6090	228	17	−η)⊖	−η)⊖	X
ejpam-6090	228	18	(	(	PUNCT
ejpam-6090	228	19	−ϕ)(ι	−ϕ)(ι	ADV
ejpam-6090	228	20	)	)	PUNCT
ejpam-6090	228	21	<	<	X
ejpam-6090	228	22	0	0	NUM
ejpam-6090	228	23	,	,	PUNCT
ejpam-6090	228	24	∀ι	∀ι	ADP
ejpam-6090	228	25	∈	∈	PROPN
ejpam-6090	228	26	t.	t.	NOUN
ejpam-6090	228	27	utilizing	utilize	VERB
ejpam-6090	228	28	remark	remark	NOUN
ejpam-6090	228	29	1	1	NUM
ejpam-6090	228	30	,	,	PUNCT
ejpam-6090	228	31	we	we	PRON
ejpam-6090	228	32	obtain	obtain	VERB
ejpam-6090	228	33	the	the	DET
ejpam-6090	228	34	following	follow	VERB
ejpam-6090	228	35	|	|	ADV
ejpam-6090	228	36	z(ι	z(ι	NUM
ejpam-6090	228	37	)	)	PUNCT
ejpam-6090	228	38	|≤	|≤	ADJ
ejpam-6090	228	39	tψ−ϕ(ι	tψ−ϕ(ι	NOUN
ejpam-6090	228	40	,	,	PUNCT
ejpam-6090	228	41	0	0	NUM
ejpam-6090	228	42	)	)	PUNCT
ejpam-6090	229	1	+	+	CCONJ
ejpam-6090	229	2	tl	tl	PROPN
ejpam-6090	229	3	η	η	PROPN
ejpam-6090	229	4	ψ−ϕ(ι	ψ−ϕ(ι	NOUN
ejpam-6090	229	5	,	,	PUNCT
ejpam-6090	229	6	0	0	NUM
ejpam-6090	229	7	)	)	PUNCT
ejpam-6090	229	8	∫	∫	PROPN
ejpam-6090	230	1	ι	ι	X
ejpam-6090	230	2	0	0	NUM
ejpam-6090	230	3	ψ(−η)⊖(−ϕ)(τ	ψ(−η)⊖(−ϕ)(τ	PROPN
ejpam-6090	230	4	,	,	PUNCT
ejpam-6090	230	5	0)∆τ	0)∆τ	PRON
ejpam-6090	230	6	,	,	PUNCT
ejpam-6090	230	7	obviously	obviously	ADV
ejpam-6090	230	8	,	,	PUNCT
ejpam-6090	230	9	∫	∫	PROPN
ejpam-6090	230	10	ι	ι	X
ejpam-6090	230	11	0	0	PROPN
ejpam-6090	230	12	ψ(−η)⊖(−ϕ)(τ	ψ(−η)⊖(−ϕ)(τ	PROPN
ejpam-6090	230	13	,	,	PUNCT
ejpam-6090	230	14	0)∆τ	0)∆τ	PUNCT
ejpam-6090	231	1	=	=	SYM
ejpam-6090	231	2	1	1	NUM
ejpam-6090	231	3	(	(	PUNCT
ejpam-6090	231	4	−η	−η	NOUN
ejpam-6090	231	5	)	)	PUNCT
ejpam-6090	231	6	⊖	⊖	NOUN
ejpam-6090	231	7	(	(	PUNCT
ejpam-6090	231	8	−ϕ	−ϕ	ADV
ejpam-6090	231	9	)	)	PUNCT
ejpam-6090	231	10	(	(	PUNCT
ejpam-6090	231	11	ψ(−η)⊖(−ϕ)(ι	ψ(−η)⊖(−ϕ)(ι	X
ejpam-6090	231	12	,	,	PUNCT
ejpam-6090	231	13	0	0	NUM
ejpam-6090	231	14	)	)	PUNCT
ejpam-6090	231	15	−	−	PROPN
ejpam-6090	231	16	1	1	NUM
ejpam-6090	231	17	)	)	PUNCT
ejpam-6090	231	18	,	,	PUNCT
ejpam-6090	231	19	this	this	PRON
ejpam-6090	231	20	results	result	VERB
ejpam-6090	231	21	in	in	ADP
ejpam-6090	231	22	the	the	DET
ejpam-6090	231	23	subsequent	subsequent	ADJ
ejpam-6090	231	24	estimation	estimation	NOUN
ejpam-6090	231	25	|	|	ADV
ejpam-6090	231	26	z(ι	z(ι	NUM
ejpam-6090	231	27	)	)	PUNCT
ejpam-6090	231	28	|≤	|≤	PROPN
ejpam-6090	231	29	t	t	PROPN
ejpam-6090	231	30	(	(	PUNCT
ejpam-6090	231	31	1	1	NUM
ejpam-6090	231	32	+	+	NUM
ejpam-6090	231	33	l	l	PROPN
ejpam-6090	231	34	η	η	X
ejpam-6090	231	35	|	|	CCONJ
ejpam-6090	231	36	(	(	PUNCT
ejpam-6090	231	37	−η	−η	NOUN
ejpam-6090	231	38	)	)	PUNCT
ejpam-6090	231	39	⊖	⊖	NOUN
ejpam-6090	231	40	(	(	PUNCT
ejpam-6090	231	41	−ϕ	−ϕ	ADV
ejpam-6090	231	42	)	)	PUNCT
ejpam-6090	231	43	|	|	ADV
ejpam-6090	231	44	)	)	PUNCT
ejpam-6090	231	45	ψ−ϕ(ι	ψ−ϕ(ι	NOUN
ejpam-6090	231	46	,	,	PUNCT
ejpam-6090	231	47	0	0	NUM
ejpam-6090	231	48	)	)	PUNCT
ejpam-6090	231	49	,	,	PUNCT
ejpam-6090	231	50	therefore	therefore	ADV
ejpam-6090	231	51	,	,	PUNCT
ejpam-6090	231	52	by	by	ADP
ejpam-6090	231	53	applying	apply	VERB
ejpam-6090	231	54	that	that	DET
ejpam-6090	231	55	−ϕ	−ϕ	NOUN
ejpam-6090	231	56	∈	∈	NOUN
ejpam-6090	231	57	r+	r+	VERB
ejpam-6090	231	58	along	along	ADP
ejpam-6090	231	59	with	with	ADP
ejpam-6090	231	60	assumption	assumption	NOUN
ejpam-6090	231	61	(	(	PUNCT
ejpam-6090	231	62	c	c	NOUN
ejpam-6090	231	63	)	)	PUNCT
ejpam-6090	231	64	,	,	PUNCT
ejpam-6090	231	65	we	we	PRON
ejpam-6090	231	66	derive	derive	VERB
ejpam-6090	231	67	|	|	ADV
ejpam-6090	231	68	z(ι	z(ι	NUM
ejpam-6090	231	69	)	)	PUNCT
ejpam-6090	231	70	|≤	|≤	PROPN
ejpam-6090	231	71	t	t	PROPN
ejpam-6090	231	72	(	(	PUNCT
ejpam-6090	231	73	1	1	NUM
ejpam-6090	231	74	+	+	NUM
ejpam-6090	231	75	l	l	NOUN
ejpam-6090	231	76	η(η	η(η	NOUN
ejpam-6090	231	77	−	−	PROPN
ejpam-6090	231	78	ϕ	ϕ	NOUN
ejpam-6090	231	79	)	)	PUNCT
ejpam-6090	231	80	)	)	PUNCT
ejpam-6090	231	81	ψ−ϕ(ι	ψ−ϕ(ι	NOUN
ejpam-6090	231	82	,	,	PUNCT
ejpam-6090	231	83	0	0	NUM
ejpam-6090	231	84	)	)	PUNCT
ejpam-6090	231	85	,	,	PUNCT
ejpam-6090	231	86	which	which	PRON
ejpam-6090	231	87	ends	end	VERB
ejpam-6090	231	88	the	the	DET
ejpam-6090	231	89	proof	proof	NOUN
ejpam-6090	231	90	.	.	PUNCT
ejpam-6090	232	1	4	4	X
ejpam-6090	232	2	.	.	NOUN
ejpam-6090	232	3	example	example	NOUN
ejpam-6090	232	4	now	now	ADV
ejpam-6090	232	5	,	,	PUNCT
ejpam-6090	232	6	we	we	PRON
ejpam-6090	232	7	have	have	VERB
ejpam-6090	232	8	the	the	DET
ejpam-6090	232	9	efficacy	efficacy	NOUN
ejpam-6090	232	10	and	and	CCONJ
ejpam-6090	232	11	validity	validity	NOUN
ejpam-6090	232	12	of	of	ADP
ejpam-6090	232	13	these	these	DET
ejpam-6090	232	14	findings	finding	NOUN
ejpam-6090	232	15	are	be	AUX
ejpam-6090	232	16	substantiated	substantiate	VERB
ejpam-6090	232	17	through	through	ADP
ejpam-6090	232	18	diverse	diverse	ADJ
ejpam-6090	232	19	time	time	NOUN
ejpam-6090	232	20	scale	scale	NOUN
ejpam-6090	232	21	scenarios	scenario	NOUN
ejpam-6090	232	22	,	,	PUNCT
ejpam-6090	232	23	accompanied	accompany	VERB
ejpam-6090	232	24	by	by	ADP
ejpam-6090	232	25	a	a	DET
ejpam-6090	232	26	graphical	graphical	ADJ
ejpam-6090	232	27	comparative	comparative	ADJ
ejpam-6090	232	28	analysis	analysis	NOUN
ejpam-6090	232	29	.	.	PUNCT
ejpam-6090	233	1	as	as	SCONJ
ejpam-6090	233	2	bacterial	bacterial	ADJ
ejpam-6090	233	3	populations	population	NOUN
ejpam-6090	233	4	grow	grow	VERB
ejpam-6090	233	5	exponentially	exponentially	ADV
ejpam-6090	233	6	,	,	PUNCT
ejpam-6090	233	7	the	the	DET
ejpam-6090	233	8	availability	availability	NOUN
ejpam-6090	233	9	of	of	ADP
ejpam-6090	233	10	resources	resource	NOUN
ejpam-6090	233	11	diminishes	diminish	VERB
ejpam-6090	233	12	,	,	PUNCT
ejpam-6090	233	13	leading	lead	VERB
ejpam-6090	233	14	to	to	ADP
ejpam-6090	233	15	a	a	DET
ejpam-6090	233	16	mathematical	mathematical	ADJ
ejpam-6090	233	17	model	model	NOUN
ejpam-6090	233	18	governed	govern	VERB
ejpam-6090	233	19	by	by	ADP
ejpam-6090	233	20	the	the	DET
ejpam-6090	233	21	following	following	ADJ
ejpam-6090	233	22	linear	linear	PROPN
ejpam-6090	233	23	vid	vid	NOUN
ejpam-6090	233	24	system	system	NOUN
ejpam-6090	233	25	on	on	ADP
ejpam-6090	233	26	time	time	NOUN
ejpam-6090	233	27	scales	scale	NOUN
ejpam-6090	233	28	:	:	PUNCT
ejpam-6090	233	29	z∆(ι	z∆(ι	NUM
ejpam-6090	233	30	)	)	PUNCT
ejpam-6090	233	31	=	=	PUNCT
ejpam-6090	233	32	−	−	PRON
ejpam-6090	233	33	z(ι	z(ι	NUM
ejpam-6090	233	34	)	)	PUNCT
ejpam-6090	233	35	µ2(ι	µ2(ι	PROPN
ejpam-6090	233	36	)	)	PUNCT
ejpam-6090	233	37	+	+	CCONJ
ejpam-6090	234	1	1	1	NUM
ejpam-6090	234	2	+	+	SYM
ejpam-6090	234	3	1	1	NUM
ejpam-6090	234	4	ι3	ι3	NOUN
ejpam-6090	234	5	+	+	NOUN
ejpam-6090	234	6	1	1	NUM
ejpam-6090	234	7	∫	∫	NOUN
ejpam-6090	234	8	∞	∞	NUM
ejpam-6090	234	9	2	2	NUM
ejpam-6090	234	10	(	(	PUNCT
ejpam-6090	234	11	υ	υ	NOUN
ejpam-6090	234	12	+	+	X
ejpam-6090	234	13	σ(υ))z(υ)∆υ	σ(υ))z(υ)∆υ	NOUN
ejpam-6090	234	14	+	+	CCONJ
ejpam-6090	234	15	sinι	sinι	NOUN
ejpam-6090	234	16	µ(ι	µ(ι	NOUN
ejpam-6090	234	17	)	)	PUNCT
ejpam-6090	234	18	+	+	CCONJ
ejpam-6090	234	19	1	1	NUM
ejpam-6090	234	20	,	,	PUNCT
ejpam-6090	234	21	(	(	PUNCT
ejpam-6090	234	22	10	10	NUM
ejpam-6090	234	23	)	)	PUNCT
ejpam-6090	234	24	ch	ch	NOUN
ejpam-6090	234	25	.	.	PUNCT
ejpam-6090	234	26	harisha	harisha	PROPN
ejpam-6090	234	27	,	,	PUNCT
ejpam-6090	234	28	b.	b.	PROPN
ejpam-6090	234	29	v.	v.	ADP
ejpam-6090	234	30	appa	appa	PROPN
ejpam-6090	234	31	rao	rao	PROPN
ejpam-6090	234	32	,	,	PUNCT
ejpam-6090	234	33	a.	a.	PROPN
ejpam-6090	234	34	sreenivasulu	sreenivasulu	PROPN
ejpam-6090	234	35	/	/	SYM
ejpam-6090	234	36	eur	eur	PROPN
ejpam-6090	234	37	.	.	PUNCT
ejpam-6090	235	1	j.	j.	PROPN
ejpam-6090	235	2	pure	pure	PROPN
ejpam-6090	235	3	appl	appl	PROPN
ejpam-6090	235	4	.	.	PROPN
ejpam-6090	235	5	math	math	PROPN
ejpam-6090	235	6	,	,	PUNCT
ejpam-6090	235	7	18	18	NUM
ejpam-6090	235	8	(	(	PUNCT
ejpam-6090	235	9	2	2	NUM
ejpam-6090	235	10	)	)	PUNCT
ejpam-6090	235	11	(	(	PUNCT
ejpam-6090	235	12	2025	2025	NUM
ejpam-6090	235	13	)	)	PUNCT
ejpam-6090	235	14	,	,	PUNCT
ejpam-6090	235	15	6090	6090	NUM
ejpam-6090	235	16	9	9	NUM
ejpam-6090	235	17	of	of	ADP
ejpam-6090	235	18	13	13	NUM
ejpam-6090	235	19	where	where	SCONJ
ejpam-6090	235	20	0	0	NUM
ejpam-6090	235	21	≤	≤	NUM
ejpam-6090	235	22	µ(ι	µ(ι	NOUN
ejpam-6090	235	23	)	)	PUNCT
ejpam-6090	235	24	≤	≤	NUM
ejpam-6090	235	25	1,∀ι	1,∀ι	NUM
ejpam-6090	235	26	∈	∈	NOUN
ejpam-6090	235	27	t.	t.	NOUN
ejpam-6090	235	28	it	it	PRON
ejpam-6090	235	29	can	can	AUX
ejpam-6090	235	30	be	be	AUX
ejpam-6090	235	31	observe	observe	VERB
ejpam-6090	235	32	that	that	SCONJ
ejpam-6090	235	33	the	the	DET
ejpam-6090	235	34	function	function	NOUN
ejpam-6090	235	35	p	p	X
ejpam-6090	235	36	(	(	PUNCT
ejpam-6090	235	37	ι	ι	PROPN
ejpam-6090	235	38	)	)	PUNCT
ejpam-6090	235	39	=	=	PUNCT
ejpam-6090	235	40	−	−	PROPN
ejpam-6090	235	41	z(ι	z(ι	NUM
ejpam-6090	235	42	)	)	PUNCT
ejpam-6090	235	43	µ2(ι)+1	µ2(ι)+1	NOUN
ejpam-6090	235	44	meets	meet	VERB
ejpam-6090	235	45	the	the	DET
ejpam-6090	235	46	criteria	criterion	NOUN
ejpam-6090	235	47	outlined	outline	VERB
ejpam-6090	235	48	in	in	ADP
ejpam-6090	235	49	theorem	theorem	NOUN
ejpam-6090	235	50	4	4	NUM
ejpam-6090	235	51	with	with	ADP
ejpam-6090	235	52	the	the	DET
ejpam-6090	235	53	constant	constant	ADJ
ejpam-6090	235	54	ϕ	ϕ	NOUN
ejpam-6090	235	55	=	=	NOUN
ejpam-6090	235	56	1	1	NUM
ejpam-6090	235	57	2	2	NUM
ejpam-6090	235	58	.	.	PUNCT
ejpam-6090	236	1	additionally	additionally	ADV
ejpam-6090	236	2	,	,	PUNCT
ejpam-6090	236	3	the	the	DET
ejpam-6090	236	4	function	function	NOUN
ejpam-6090	236	5	g(ι	g(ι	PROPN
ejpam-6090	236	6	)	)	PUNCT
ejpam-6090	237	1	=	=	PUNCT
ejpam-6090	237	2	sinι	sinι	NOUN
ejpam-6090	237	3	µ(ι)+1	µ(ι)+1	NOUN
ejpam-6090	237	4	is	be	AUX
ejpam-6090	237	5	both	both	PRON
ejpam-6090	237	6	bounded	bounded	ADJ
ejpam-6090	237	7	and	and	CCONJ
ejpam-6090	237	8	rd	rd	NOUN
ejpam-6090	237	9	-	-	NOUN
ejpam-6090	237	10	continuous	continuous	ADJ
ejpam-6090	237	11	.	.	PUNCT
ejpam-6090	238	1	furthermore	furthermore	ADV
ejpam-6090	238	2	,	,	PUNCT
ejpam-6090	238	3	the	the	DET
ejpam-6090	238	4	expression	expression	NOUN
ejpam-6090	238	5	(	(	PUNCT
ejpam-6090	238	6	i	i	PROPN
ejpam-6090	238	7	⊗	⊗	PROPN
ejpam-6090	238	8	h)(ι	h)(ι	PROPN
ejpam-6090	238	9	,	,	PUNCT
ejpam-6090	238	10	υ	υ	NOUN
ejpam-6090	238	11	)	)	PUNCT
ejpam-6090	238	12	=	=	SYM
ejpam-6090	238	13	(	(	PUNCT
ejpam-6090	238	14	υ+σ(υ	υ+σ(υ	NOUN
ejpam-6090	238	15	)	)	PUNCT
ejpam-6090	238	16	)	)	PUNCT
ejpam-6090	239	1	ι3	ι3	NOUN
ejpam-6090	239	2	+	+	NOUN
ejpam-6090	239	3	1	1	NUM
ejpam-6090	239	4	belongs	belong	VERB
ejpam-6090	239	5	to	to	ADP
ejpam-6090	239	6	crd(t×	crd(t×	PROPN
ejpam-6090	239	7	t	t	PROPN
ejpam-6090	239	8	,	,	PUNCT
ejpam-6090	239	9	r	r	NOUN
ejpam-6090	239	10	)	)	PUNCT
ejpam-6090	239	11	and	and	CCONJ
ejpam-6090	239	12	it	it	PRON
ejpam-6090	239	13	can	can	AUX
ejpam-6090	239	14	be	be	AUX
ejpam-6090	239	15	verified	verify	VERB
ejpam-6090	239	16	that	that	SCONJ
ejpam-6090	239	17	this	this	PRON
ejpam-6090	239	18	holds	hold	VERB
ejpam-6090	239	19	true	true	ADJ
ejpam-6090	239	20	.	.	PUNCT
ejpam-6090	240	1	sup	sup	NOUN
ejpam-6090	240	2	ι∈t	ι∈t	NOUN
ejpam-6090	240	3	1	1	NUM
ejpam-6090	240	4	p	p	NOUN
ejpam-6090	240	5	(	(	PUNCT
ejpam-6090	240	6	ι	ι	PROPN
ejpam-6090	240	7	)	)	PUNCT
ejpam-6090	240	8	∫	∫	PROPN
ejpam-6090	240	9	∞	∞	NUM
ejpam-6090	240	10	2	2	NUM
ejpam-6090	240	11	∣∣∣∣∣(υ	∣∣∣∣∣(υ	NOUN
ejpam-6090	240	12	+	+	CCONJ
ejpam-6090	240	13	σ(υ	σ(υ	ADJ
ejpam-6090	240	14	)	)	PUNCT
ejpam-6090	240	15	)	)	PUNCT
ejpam-6090	241	1	ι3	ι3	NOUN
ejpam-6090	241	2	+	+	NOUN
ejpam-6090	241	3	1	1	NUM
ejpam-6090	241	4	∣∣∣∣∣dυ	∣∣∣∣∣dυ	NOUN
ejpam-6090	241	5	≤	≤	NOUN
ejpam-6090	241	6	8	8	NUM
ejpam-6090	241	7	9	9	NUM
ejpam-6090	241	8	.	.	PUNCT
ejpam-6090	242	1	therefore	therefore	ADV
ejpam-6090	242	2	,	,	PUNCT
ejpam-6090	242	3	all	all	DET
ejpam-6090	242	4	the	the	DET
ejpam-6090	242	5	conditions	condition	NOUN
ejpam-6090	242	6	of	of	ADP
ejpam-6090	242	7	theorem	theorem	ADJ
ejpam-6090	242	8	4	4	NUM
ejpam-6090	242	9	are	be	AUX
ejpam-6090	242	10	satisfied	satisfied	ADJ
ejpam-6090	242	11	,	,	PUNCT
ejpam-6090	242	12	leading	lead	VERB
ejpam-6090	242	13	to	to	ADP
ejpam-6090	242	14	the	the	DET
ejpam-6090	242	15	conclusion	conclusion	NOUN
ejpam-6090	242	16	that	that	SCONJ
ejpam-6090	242	17	all	all	DET
ejpam-6090	242	18	solutions	solution	NOUN
ejpam-6090	242	19	of	of	ADP
ejpam-6090	242	20	(	(	PUNCT
ejpam-6090	242	21	10	10	NUM
ejpam-6090	242	22	)	)	PUNCT
ejpam-6090	242	23	are	be	AUX
ejpam-6090	242	24	bounded	bound	VERB
ejpam-6090	242	25	.	.	PUNCT
ejpam-6090	243	1	case(i	case(i	PROPN
ejpam-6090	243	2	):	):	PUNCT
ejpam-6090	243	3	in	in	ADP
ejpam-6090	243	4	the	the	DET
ejpam-6090	243	5	event	event	NOUN
ejpam-6090	243	6	that	that	PRON
ejpam-6090	243	7	t	t	NOUN
ejpam-6090	243	8	=	=	SYM
ejpam-6090	243	9	r	r	X
ejpam-6090	243	10	,	,	PUNCT
ejpam-6090	243	11	it	it	PRON
ejpam-6090	243	12	therefore	therefore	ADV
ejpam-6090	243	13	follows	follow	VERB
ejpam-6090	243	14	that	that	SCONJ
ejpam-6090	243	15	every	every	DET
ejpam-6090	243	16	continuous	continuous	ADJ
ejpam-6090	243	17	function	function	NOUN
ejpam-6090	243	18	p	p	NOUN
ejpam-6090	243	19	:	:	PUNCT
ejpam-6090	243	20	r	r	NOUN
ejpam-6090	243	21	→	→	SYM
ejpam-6090	243	22	r	r	NOUN
ejpam-6090	243	23	is	be	AUX
ejpam-6090	243	24	included	include	VERB
ejpam-6090	243	25	in	in	ADP
ejpam-6090	243	26	r+	r+	X
ejpam-6090	243	27	.	.	PUNCT
ejpam-6090	244	1	in	in	ADP
ejpam-6090	244	2	the	the	DET
ejpam-6090	244	3	event	event	NOUN
ejpam-6090	244	4	that	that	SCONJ
ejpam-6090	244	5	µ(ι	µ(ι	VERB
ejpam-6090	244	6	)	)	PUNCT
ejpam-6090	244	7	=	=	SYM
ejpam-6090	244	8	0	0	NUM
ejpam-6090	245	1	a	a	DET
ejpam-6090	245	2	representation	representation	NOUN
ejpam-6090	245	3	of	of	ADP
ejpam-6090	245	4	the	the	DET
ejpam-6090	245	5	equation	equation	NOUN
ejpam-6090	245	6	(	(	PUNCT
ejpam-6090	245	7	10	10	NUM
ejpam-6090	245	8	)	)	PUNCT
ejpam-6090	245	9	can	can	AUX
ejpam-6090	245	10	be	be	AUX
ejpam-6090	245	11	represented	represent	VERB
ejpam-6090	245	12	in	in	ADP
ejpam-6090	245	13	the	the	DET
ejpam-6090	245	14	following	follow	VERB
ejpam-6090	245	15	manner	manner	NOUN
ejpam-6090	245	16	:	:	PUNCT
ejpam-6090	245	17	z′(ι	z′(ι	X
ejpam-6090	245	18	)	)	PUNCT
ejpam-6090	246	1	=	=	SYM
ejpam-6090	246	2	−z(ι	−z(ι	NOUN
ejpam-6090	246	3	)	)	PUNCT
ejpam-6090	247	1	+	+	CCONJ
ejpam-6090	248	1	1	1	NUM
ejpam-6090	248	2	ι3	ι3	NOUN
ejpam-6090	248	3	+	+	NOUN
ejpam-6090	248	4	1	1	NUM
ejpam-6090	248	5	∫	∫	NUM
ejpam-6090	248	6	∞	∞	NUM
ejpam-6090	248	7	2	2	NUM
ejpam-6090	248	8	υz(υ)∆υ	υz(υ)∆υ	NOUN
ejpam-6090	248	9	+	+	X
ejpam-6090	248	10	sint	sint	PROPN
ejpam-6090	248	11	.	.	PUNCT
ejpam-6090	249	1	case(ii	case(ii	ADJ
ejpam-6090	249	2	):	):	PUNCT
ejpam-6090	249	3	in	in	ADP
ejpam-6090	249	4	the	the	DET
ejpam-6090	249	5	event	event	NOUN
ejpam-6090	249	6	that	that	PRON
ejpam-6090	249	7	t	t	PROPN
ejpam-6090	249	8	=	=	SYM
ejpam-6090	249	9	n	n	CCONJ
ejpam-6090	249	10	,	,	PUNCT
ejpam-6090	249	11	the	the	DET
ejpam-6090	249	12	function	function	NOUN
ejpam-6090	250	1	p	p	NOUN
ejpam-6090	250	2	:	:	PUNCT
ejpam-6090	250	3	n	n	X
ejpam-6090	250	4	→	→	SYM
ejpam-6090	250	5	r	r	NOUN
ejpam-6090	250	6	is	be	AUX
ejpam-6090	250	7	constrained	constrain	VERB
ejpam-6090	250	8	such	such	ADJ
ejpam-6090	250	9	that	that	DET
ejpam-6090	250	10	−1	−1	NOUN
ejpam-6090	250	11	<	<	X
ejpam-6090	250	12	p(t	p(t	NOUN
ejpam-6090	250	13	)	)	PUNCT
ejpam-6090	250	14	≤	≤	NOUN
ejpam-6090	250	15	0	0	NUM
ejpam-6090	250	16	and	and	CCONJ
ejpam-6090	250	17	µ(ι	µ(ι	NOUN
ejpam-6090	250	18	)	)	PUNCT
ejpam-6090	250	19	=	=	SYM
ejpam-6090	251	1	1	1	X
ejpam-6090	251	2	.	.	PUNCT
ejpam-6090	252	1	under	under	ADP
ejpam-6090	252	2	these	these	DET
ejpam-6090	252	3	conditions	condition	NOUN
ejpam-6090	252	4	,	,	PUNCT
ejpam-6090	252	5	equation	equation	NOUN
ejpam-6090	252	6	(	(	PUNCT
ejpam-6090	252	7	10	10	NUM
ejpam-6090	252	8	)	)	PUNCT
ejpam-6090	252	9	can	can	AUX
ejpam-6090	252	10	be	be	AUX
ejpam-6090	252	11	expressed	express	VERB
ejpam-6090	252	12	in	in	ADP
ejpam-6090	252	13	a	a	DET
ejpam-6090	252	14	specific	specific	ADJ
ejpam-6090	252	15	form	form	NOUN
ejpam-6090	252	16	∆z(ι	∆z(ι	NOUN
ejpam-6090	252	17	)	)	PUNCT
ejpam-6090	253	1	=	=	PUNCT
ejpam-6090	253	2	−1	−1	NOUN
ejpam-6090	253	3	2	2	NUM
ejpam-6090	253	4	z(ι	z(ι	NUM
ejpam-6090	253	5	)	)	PUNCT
ejpam-6090	254	1	+	+	CCONJ
ejpam-6090	254	2	1	1	NUM
ejpam-6090	254	3	ι3	ι3	NOUN
ejpam-6090	254	4	+	+	NOUN
ejpam-6090	254	5	1	1	NUM
ejpam-6090	254	6	ι−1∑	ι−1∑	PUNCT
ejpam-6090	254	7	i=2	i=2	PROPN
ejpam-6090	254	8	(	(	PUNCT
ejpam-6090	254	9	2i−	2i−	PROPN
ejpam-6090	254	10	1)z(i	1)z(i	NUM
ejpam-6090	254	11	)	)	PUNCT
ejpam-6090	254	12	+	+	CCONJ
ejpam-6090	254	13	sinι	sinι	NOUN
ejpam-6090	254	14	2	2	NUM
ejpam-6090	254	15	.	.	PUNCT
ejpam-6090	255	1	case(iii	case(iii	PROPN
ejpam-6090	255	2	):	):	PUNCT
ejpam-6090	255	3	in	in	ADP
ejpam-6090	255	4	the	the	DET
ejpam-6090	255	5	event	event	NOUN
ejpam-6090	255	6	that	that	PRON
ejpam-6090	255	7	t	t	NOUN
ejpam-6090	255	8	=	=	PUNCT
ejpam-6090	255	9	1	1	NUM
ejpam-6090	255	10	3n	3n	NUM
ejpam-6090	255	11	,	,	PUNCT
ejpam-6090	255	12	µ(ι	µ(ι	NOUN
ejpam-6090	255	13	)	)	PUNCT
ejpam-6090	255	14	=	=	SYM
ejpam-6090	255	15	1	1	NUM
ejpam-6090	255	16	then	then	ADV
ejpam-6090	255	17	(	(	PUNCT
ejpam-6090	255	18	10	10	NUM
ejpam-6090	255	19	)	)	PUNCT
ejpam-6090	255	20	takes	take	VERB
ejpam-6090	255	21	the	the	DET
ejpam-6090	255	22	form	form	NOUN
ejpam-6090	255	23	z∆(ι	z∆(ι	NUM
ejpam-6090	255	24	)	)	PUNCT
ejpam-6090	255	25	=	=	SYM
ejpam-6090	256	1	9	9	NUM
ejpam-6090	256	2	10	10	NUM
ejpam-6090	256	3	+	+	SYM
ejpam-6090	256	4	3	3	NUM
ejpam-6090	256	5	ι3	ι3	NOUN
ejpam-6090	256	6	+	+	NOUN
ejpam-6090	256	7	27	27	NUM
ejpam-6090	256	8	3ι−1∑	3ι−1∑	NUM
ejpam-6090	256	9	k=3	k=3	X
ejpam-6090	256	10	(	(	PUNCT
ejpam-6090	256	11	k	k	X
ejpam-6090	256	12	+	+	CCONJ
ejpam-6090	256	13	1)z(k	1)z(k	NUM
ejpam-6090	256	14	)	)	PUNCT
ejpam-6090	256	15	+	+	CCONJ
ejpam-6090	256	16	3	3	NUM
ejpam-6090	256	17	4	4	NUM
ejpam-6090	256	18	sin	sin	NOUN
ejpam-6090	256	19	ι	ι	ADP
ejpam-6090	256	20	3	3	NUM
ejpam-6090	256	21	.	.	PUNCT
ejpam-6090	257	1	figure	figure	NOUN
ejpam-6090	257	2	1	1	NUM
ejpam-6090	257	3	:	:	PUNCT
ejpam-6090	257	4	comparison	comparison	NOUN
ejpam-6090	257	5	of	of	ADP
ejpam-6090	257	6	solution	solution	NOUN
ejpam-6090	257	7	on	on	ADP
ejpam-6090	257	8	different	different	ADJ
ejpam-6090	257	9	time	time	NOUN
ejpam-6090	257	10	scales	scale	VERB
ejpam-6090	257	11	the	the	DET
ejpam-6090	257	12	graph	graph	NOUN
ejpam-6090	257	13	demonstrates	demonstrate	VERB
ejpam-6090	257	14	exponential	exponential	ADJ
ejpam-6090	257	15	stability	stability	NOUN
ejpam-6090	257	16	by	by	ADP
ejpam-6090	257	17	comparing	compare	VERB
ejpam-6090	257	18	solutions	solution	NOUN
ejpam-6090	257	19	on	on	ADP
ejpam-6090	257	20	different	different	ADJ
ejpam-6090	257	21	time	time	NOUN
ejpam-6090	257	22	scales	scale	NOUN
ejpam-6090	257	23	(	(	PUNCT
ejpam-6090	258	1	t	t	NOUN
ejpam-6090	258	2	=	=	SYM
ejpam-6090	258	3	r	r	PROPN
ejpam-6090	258	4	,	,	PUNCT
ejpam-6090	258	5	t	t	NOUN
ejpam-6090	258	6	=	=	SYM
ejpam-6090	258	7	n	n	X
ejpam-6090	258	8	andt	andt	NOUN
ejpam-6090	258	9	=	=	SYM
ejpam-6090	258	10	1	1	NUM
ejpam-6090	258	11	3n	3n	NUM
ejpam-6090	258	12	)	)	PUNCT
ejpam-6090	258	13	,	,	PUNCT
ejpam-6090	258	14	where	where	SCONJ
ejpam-6090	258	15	the	the	DET
ejpam-6090	258	16	discrete	discrete	ADJ
ejpam-6090	258	17	and	and	CCONJ
ejpam-6090	258	18	continuous	continuous	ADJ
ejpam-6090	258	19	trajectories	trajectory	NOUN
ejpam-6090	258	20	exhibit	exhibit	VERB
ejpam-6090	258	21	bounded	bound	VERB
ejpam-6090	258	22	oscillatory	oscillatory	ADJ
ejpam-6090	258	23	behavior	behavior	NOUN
ejpam-6090	258	24	.	.	PUNCT
ejpam-6090	259	1	ch	ch	NOUN
ejpam-6090	259	2	.	.	PUNCT
ejpam-6090	259	3	harisha	harisha	PROPN
ejpam-6090	259	4	,	,	PUNCT
ejpam-6090	259	5	b.	b.	PROPN
ejpam-6090	259	6	v.	v.	ADP
ejpam-6090	259	7	appa	appa	PROPN
ejpam-6090	259	8	rao	rao	PROPN
ejpam-6090	259	9	,	,	PUNCT
ejpam-6090	259	10	a.	a.	PROPN
ejpam-6090	259	11	sreenivasulu	sreenivasulu	PROPN
ejpam-6090	259	12	/	/	SYM
ejpam-6090	259	13	eur	eur	PROPN
ejpam-6090	259	14	.	.	PUNCT
ejpam-6090	260	1	j.	j.	PROPN
ejpam-6090	260	2	pure	pure	PROPN
ejpam-6090	260	3	appl	appl	PROPN
ejpam-6090	260	4	.	.	PROPN
ejpam-6090	260	5	math	math	PROPN
ejpam-6090	260	6	,	,	PUNCT
ejpam-6090	260	7	18	18	NUM
ejpam-6090	260	8	(	(	PUNCT
ejpam-6090	260	9	2	2	NUM
ejpam-6090	260	10	)	)	PUNCT
ejpam-6090	260	11	(	(	PUNCT
ejpam-6090	260	12	2025	2025	NUM
ejpam-6090	260	13	)	)	PUNCT
ejpam-6090	260	14	,	,	PUNCT
ejpam-6090	260	15	6090	6090	NUM
ejpam-6090	260	16	10	10	NUM
ejpam-6090	260	17	of	of	ADP
ejpam-6090	260	18	13	13	NUM
ejpam-6090	260	19	5	5	NUM
ejpam-6090	260	20	.	.	PUNCT
ejpam-6090	261	1	conclusion	conclusion	NOUN
ejpam-6090	261	2	systems	system	NOUN
ejpam-6090	261	3	of	of	ADP
ejpam-6090	261	4	the	the	DET
ejpam-6090	261	5	matrix	matrix	NOUN
ejpam-6090	261	6	sylvester	sylvest	ADJ
ejpam-6090	261	7	type	type	NOUN
ejpam-6090	261	8	,	,	PUNCT
ejpam-6090	261	9	which	which	PRON
ejpam-6090	261	10	are	be	AUX
ejpam-6090	261	11	frequently	frequently	ADV
ejpam-6090	261	12	found	find	VERB
ejpam-6090	261	13	in	in	ADP
ejpam-6090	261	14	mathematical	mathematical	ADJ
ejpam-6090	261	15	physics	physics	NOUN
ejpam-6090	261	16	and	and	CCONJ
ejpam-6090	261	17	vid	vid	NOUN
ejpam-6090	261	18	systems	system	NOUN
ejpam-6090	261	19	,	,	PUNCT
ejpam-6090	261	20	are	be	AUX
ejpam-6090	261	21	indispensable	indispensable	ADJ
ejpam-6090	261	22	in	in	ADP
ejpam-6090	261	23	a	a	DET
ejpam-6090	261	24	wide	wide	ADJ
ejpam-6090	261	25	variety	variety	NOUN
ejpam-6090	261	26	of	of	ADP
ejpam-6090	261	27	engineering	engineering	NOUN
ejpam-6090	261	28	and	and	CCONJ
ejpam-6090	261	29	optimization	optimization	NOUN
ejpam-6090	261	30	applications	application	NOUN
ejpam-6090	261	31	.	.	PUNCT
ejpam-6090	262	1	due	due	ADP
ejpam-6090	262	2	to	to	ADP
ejpam-6090	262	3	the	the	DET
ejpam-6090	262	4	fact	fact	NOUN
ejpam-6090	262	5	that	that	SCONJ
ejpam-6090	262	6	they	they	PRON
ejpam-6090	262	7	are	be	AUX
ejpam-6090	262	8	able	able	ADJ
ejpam-6090	262	9	to	to	PART
ejpam-6090	262	10	unite	unite	VERB
ejpam-6090	262	11	and	and	CCONJ
ejpam-6090	262	12	extend	extend	VERB
ejpam-6090	262	13	both	both	CCONJ
ejpam-6090	262	14	continuous	continuous	ADJ
ejpam-6090	262	15	and	and	CCONJ
ejpam-6090	262	16	discrete	discrete	ADJ
ejpam-6090	262	17	models	model	NOUN
ejpam-6090	262	18	,	,	PUNCT
ejpam-6090	262	19	timescale	timescale	ADJ
ejpam-6090	262	20	calculus	calculus	NOUN
ejpam-6090	262	21	and	and	CCONJ
ejpam-6090	262	22	dynamic	dynamic	ADJ
ejpam-6090	262	23	equations	equation	NOUN
ejpam-6090	262	24	on	on	ADP
ejpam-6090	262	25	time	time	NOUN
ejpam-6090	262	26	scales	scale	NOUN
ejpam-6090	262	27	have	have	AUX
ejpam-6090	262	28	recently	recently	ADV
ejpam-6090	262	29	garnered	garner	VERB
ejpam-6090	262	30	a	a	DET
ejpam-6090	262	31	significant	significant	ADJ
ejpam-6090	262	32	amount	amount	NOUN
ejpam-6090	262	33	of	of	ADP
ejpam-6090	262	34	interest	interest	NOUN
ejpam-6090	262	35	.	.	PUNCT
ejpam-6090	263	1	establishing	establish	VERB
ejpam-6090	263	2	a	a	DET
ejpam-6090	263	3	boundedness	boundedness	NOUN
ejpam-6090	263	4	solution	solution	NOUN
ejpam-6090	263	5	for	for	ADP
ejpam-6090	263	6	the	the	DET
ejpam-6090	263	7	exponential	exponential	ADJ
ejpam-6090	263	8	stability	stability	NOUN
ejpam-6090	263	9	of	of	ADP
ejpam-6090	263	10	a	a	DET
ejpam-6090	263	11	vid	vid	NOUN
ejpam-6090	263	12	sylvester	sylvester	NOUN
ejpam-6090	263	13	matrix	matrix	NOUN
ejpam-6090	263	14	system	system	NOUN
ejpam-6090	263	15	on	on	ADP
ejpam-6090	263	16	time	time	NOUN
ejpam-6090	263	17	scales	scale	NOUN
ejpam-6090	263	18	is	be	AUX
ejpam-6090	263	19	the	the	DET
ejpam-6090	263	20	objective	objective	NOUN
ejpam-6090	263	21	of	of	ADP
ejpam-6090	263	22	this	this	DET
ejpam-6090	263	23	research	research	NOUN
ejpam-6090	263	24	.	.	PUNCT
ejpam-6090	264	1	the	the	DET
ejpam-6090	264	2	analytical	analytical	ADJ
ejpam-6090	264	3	method	method	NOUN
ejpam-6090	264	4	uses	use	VERB
ejpam-6090	264	5	the	the	DET
ejpam-6090	264	6	kronecker	kronecker	NOUN
ejpam-6090	264	7	product	product	NOUN
ejpam-6090	264	8	of	of	ADP
ejpam-6090	264	9	matrices	matrix	NOUN
ejpam-6090	264	10	to	to	PART
ejpam-6090	264	11	determine	determine	VERB
ejpam-6090	264	12	the	the	DET
ejpam-6090	264	13	most	most	ADV
ejpam-6090	264	14	important	important	ADJ
ejpam-6090	264	15	discoveries	discovery	NOUN
ejpam-6090	264	16	.	.	PUNCT
ejpam-6090	265	1	using	use	VERB
ejpam-6090	265	2	the	the	DET
ejpam-6090	265	3	vectorization	vectorization	NOUN
ejpam-6090	265	4	operator	operator	NOUN
ejpam-6090	265	5	,	,	PUNCT
ejpam-6090	265	6	the	the	DET
ejpam-6090	265	7	long	long	ADJ
ejpam-6090	265	8	-	-	PUNCT
ejpam-6090	265	9	term	term	NOUN
ejpam-6090	265	10	stability	stability	NOUN
ejpam-6090	265	11	of	of	ADP
ejpam-6090	265	12	the	the	DET
ejpam-6090	265	13	vid	vid	NOUN
ejpam-6090	265	14	sylvester	sylvester	NOUN
ejpam-6090	265	15	system	system	NOUN
ejpam-6090	265	16	is	be	AUX
ejpam-6090	265	17	first	first	ADV
ejpam-6090	265	18	changed	change	VERB
ejpam-6090	265	19	into	into	ADP
ejpam-6090	265	20	a	a	DET
ejpam-6090	265	21	similar	similar	ADJ
ejpam-6090	265	22	vector	vector	NOUN
ejpam-6090	265	23	dynamic	dynamic	ADJ
ejpam-6090	265	24	system	system	NOUN
ejpam-6090	265	25	.	.	PUNCT
ejpam-6090	266	1	the	the	DET
ejpam-6090	266	2	next	next	ADJ
ejpam-6090	266	3	step	step	NOUN
ejpam-6090	266	4	involves	involve	VERB
ejpam-6090	266	5	presenting	present	VERB
ejpam-6090	266	6	sufficient	sufficient	ADJ
ejpam-6090	266	7	conditions	condition	NOUN
ejpam-6090	266	8	and	and	CCONJ
ejpam-6090	266	9	criteria	criterion	NOUN
ejpam-6090	266	10	for	for	ADP
ejpam-6090	266	11	constrained	constrained	ADJ
ejpam-6090	266	12	solutions	solution	NOUN
ejpam-6090	266	13	associated	associate	VERB
ejpam-6090	266	14	with	with	ADP
ejpam-6090	266	15	exponential	exponential	ADJ
ejpam-6090	266	16	stability	stability	NOUN
ejpam-6090	266	17	.	.	PUNCT
ejpam-6090	267	1	the	the	DET
ejpam-6090	267	2	findings	finding	NOUN
ejpam-6090	267	3	include	include	VERB
ejpam-6090	267	4	both	both	CCONJ
ejpam-6090	267	5	continuous	continuous	ADJ
ejpam-6090	267	6	and	and	CCONJ
ejpam-6090	267	7	discrete	discrete	ADJ
ejpam-6090	267	8	versions	version	NOUN
ejpam-6090	267	9	of	of	ADP
ejpam-6090	267	10	vid	vid	NOUN
ejpam-6090	267	11	sylvester	sylvester	NOUN
ejpam-6090	267	12	matrix	matrix	NOUN
ejpam-6090	267	13	systems	system	NOUN
ejpam-6090	267	14	,	,	PUNCT
ejpam-6090	267	15	showing	show	VERB
ejpam-6090	267	16	that	that	SCONJ
ejpam-6090	267	17	they	they	PRON
ejpam-6090	267	18	can	can	AUX
ejpam-6090	267	19	be	be	AUX
ejpam-6090	267	20	used	use	VERB
ejpam-6090	267	21	in	in	ADP
ejpam-6090	267	22	many	many	ADJ
ejpam-6090	267	23	different	different	ADJ
ejpam-6090	267	24	ways	way	NOUN
ejpam-6090	267	25	.	.	PUNCT
ejpam-6090	268	1	future	future	ADJ
ejpam-6090	268	2	studies	study	NOUN
ejpam-6090	268	3	will	will	AUX
ejpam-6090	268	4	broaden	broaden	VERB
ejpam-6090	268	5	this	this	DET
ejpam-6090	268	6	research	research	NOUN
ejpam-6090	268	7	to	to	PART
ejpam-6090	268	8	include	include	VERB
ejpam-6090	268	9	oscillations	oscillation	NOUN
ejpam-6090	268	10	,	,	PUNCT
ejpam-6090	268	11	controllability	controllability	NOUN
ejpam-6090	268	12	,	,	PUNCT
ejpam-6090	268	13	observability	observability	NOUN
ejpam-6090	268	14	,	,	PUNCT
ejpam-6090	268	15	and	and	CCONJ
ejpam-6090	268	16	periodic	periodic	ADJ
ejpam-6090	268	17	solutions	solution	NOUN
ejpam-6090	268	18	for	for	ADP
ejpam-6090	268	19	sylvester	sylvester	ADJ
ejpam-6090	268	20	matrix	matrix	NOUN
ejpam-6090	268	21	fuzzy	fuzzy	ADJ
ejpam-6090	268	22	vid	vid	NOUN
ejpam-6090	268	23	solutions	solution	NOUN
ejpam-6090	268	24	on	on	ADP
ejpam-6090	268	25	time	time	NOUN
ejpam-6090	268	26	scales	scale	NOUN
ejpam-6090	268	27	.	.	PUNCT
ejpam-6090	269	1	references	reference	NOUN
ejpam-6090	269	2	[	[	X
ejpam-6090	269	3	1	1	NUM
ejpam-6090	269	4	]	]	X
ejpam-6090	269	5	martin	martin	PROPN
ejpam-6090	269	6	bohner	bohner	PROPN
ejpam-6090	269	7	and	and	CCONJ
ejpam-6090	269	8	allan	allan	PROPN
ejpam-6090	269	9	peterson	peterson	PROPN
ejpam-6090	269	10	.	.	PUNCT
ejpam-6090	270	1	dynamic	dynamic	ADJ
ejpam-6090	270	2	equations	equation	NOUN
ejpam-6090	270	3	on	on	ADP
ejpam-6090	270	4	time	time	NOUN
ejpam-6090	270	5	scales	scale	NOUN
ejpam-6090	270	6	.	.	PUNCT
ejpam-6090	271	1	birkh¨auser	birkh¨auser	NOUN
ejpam-6090	271	2	,	,	PUNCT
ejpam-6090	271	3	2001	2001	NUM
ejpam-6090	271	4	.	.	PUNCT
ejpam-6090	272	1	[	[	X
ejpam-6090	272	2	2	2	NUM
ejpam-6090	272	3	]	]	X
ejpam-6090	272	4	martin	martin	PROPN
ejpam-6090	272	5	bohner	bohner	PROPN
ejpam-6090	272	6	and	and	CCONJ
ejpam-6090	272	7	allan	allan	PROPN
ejpam-6090	272	8	peterson	peterson	PROPN
ejpam-6090	272	9	.	.	PROPN
ejpam-6090	272	10	advances	advance	NOUN
ejpam-6090	272	11	in	in	ADP
ejpam-6090	272	12	dynamic	dynamic	ADJ
ejpam-6090	272	13	equations	equation	NOUN
ejpam-6090	272	14	on	on	ADP
ejpam-6090	272	15	time	time	NOUN
ejpam-6090	272	16	scales	scale	NOUN
ejpam-6090	272	17	.	.	PUNCT
ejpam-6090	273	1	birkh¨auser	birkh¨auser	NOUN
ejpam-6090	273	2	,	,	PUNCT
ejpam-6090	273	3	2003	2003	NUM
ejpam-6090	273	4	.	.	PUNCT
ejpam-6090	274	1	[	[	X
ejpam-6090	274	2	3	3	X
ejpam-6090	274	3	]	]	X
ejpam-6090	274	4	leonid	leonid	PROPN
ejpam-6090	274	5	berezansky	berezansky	PROPN
ejpam-6090	274	6	,	,	PUNCT
ejpam-6090	274	7	ma	ma	PROPN
ejpam-6090	274	8	lgorzata	lgorzata	PROPN
ejpam-6090	274	9	migda	migda	NOUN
ejpam-6090	274	10	,	,	PUNCT
ejpam-6090	274	11	and	and	CCONJ
ejpam-6090	274	12	ewa	ewa	PROPN
ejpam-6090	274	13	schmeidel	schmeidel	PROPN
ejpam-6090	274	14	.	.	PUNCT
ejpam-6090	275	1	some	some	DET
ejpam-6090	275	2	stability	stability	NOUN
ejpam-6090	275	3	conditions	condition	NOUN
ejpam-6090	275	4	for	for	ADP
ejpam-6090	275	5	scalar	scalar	ADJ
ejpam-6090	275	6	volterra	volterra	PROPN
ejpam-6090	275	7	difference	difference	NOUN
ejpam-6090	275	8	equations	equation	NOUN
ejpam-6090	275	9	.	.	PUNCT
ejpam-6090	276	1	opuscula	opuscula	PROPN
ejpam-6090	276	2	mathematica	mathematica	PROPN
ejpam-6090	276	3	,	,	PUNCT
ejpam-6090	276	4	36(4):459–470	36(4):459–470	PROPN
ejpam-6090	276	5	,	,	PUNCT
ejpam-6090	276	6	2016	2016	NUM
ejpam-6090	276	7	.	.	PUNCT
ejpam-6090	277	1	[	[	X
ejpam-6090	277	2	4	4	X
ejpam-6090	277	3	]	]	X
ejpam-6090	277	4	malgorzata	malgorzata	NOUN
ejpam-6090	277	5	migda	migda	NOUN
ejpam-6090	277	6	and	and	CCONJ
ejpam-6090	277	7	aldona	aldona	PROPN
ejpam-6090	277	8	dutkiewicz	dutkiewicz	PROPN
ejpam-6090	277	9	.	.	PUNCT
ejpam-6090	278	1	asymptotic	asymptotic	ADJ
ejpam-6090	278	2	behavior	behavior	NOUN
ejpam-6090	278	3	of	of	ADP
ejpam-6090	278	4	solutions	solution	NOUN
ejpam-6090	278	5	of	of	ADP
ejpam-6090	278	6	second	second	ADJ
ejpam-6090	278	7	-	-	PUNCT
ejpam-6090	278	8	order	order	NOUN
ejpam-6090	278	9	difference	difference	NOUN
ejpam-6090	278	10	equations	equation	NOUN
ejpam-6090	278	11	of	of	ADP
ejpam-6090	278	12	volterra	volterra	PROPN
ejpam-6090	278	13	type	type	NOUN
ejpam-6090	278	14	.	.	PUNCT
ejpam-6090	279	1	turkish	turkish	ADJ
ejpam-6090	279	2	journal	journal	NOUN
ejpam-6090	279	3	of	of	ADP
ejpam-6090	279	4	mathematics	mathematics	PROPN
ejpam-6090	279	5	,	,	PUNCT
ejpam-6090	279	6	43(5):2203–2217	43(5):2203–2217	NUM
ejpam-6090	279	7	,	,	PUNCT
ejpam-6090	279	8	2019	2019	NUM
ejpam-6090	279	9	.	.	PUNCT
ejpam-6090	280	1	[	[	X
ejpam-6090	280	2	5	5	X
ejpam-6090	280	3	]	]	X
ejpam-6090	280	4	ewa	ewa	PROPN
ejpam-6090	280	5	schmeidel	schmeidel	PROPN
ejpam-6090	280	6	,	,	PUNCT
ejpam-6090	280	7	urszula	urszula	NOUN
ejpam-6090	280	8	ostaszewska	ostaszewska	NOUN
ejpam-6090	280	9	,	,	PUNCT
ejpam-6090	280	10	and	and	CCONJ
ejpam-6090	280	11	ma	ma	PROPN
ejpam-6090	280	12	lgorzata	lgorzata	PROPN
ejpam-6090	280	13	zdanowicz	zdanowicz	VERB
ejpam-6090	280	14	.	.	PUNCT
ejpam-6090	281	1	emergence	emergence	NOUN
ejpam-6090	281	2	of	of	ADP
ejpam-6090	281	3	consensus	consensus	NOUN
ejpam-6090	281	4	of	of	ADP
ejpam-6090	281	5	multi	multi	ADJ
ejpam-6090	281	6	-	-	ADJ
ejpam-6090	281	7	agents	agent	NOUN
ejpam-6090	281	8	systems	system	NOUN
ejpam-6090	281	9	on	on	ADP
ejpam-6090	281	10	time	time	NOUN
ejpam-6090	281	11	scales	scale	NOUN
ejpam-6090	281	12	.	.	PUNCT
ejpam-6090	282	1	miskolc	miskolc	ADJ
ejpam-6090	282	2	mathematical	mathematical	ADJ
ejpam-6090	282	3	notes	note	NOUN
ejpam-6090	282	4	,	,	PUNCT
ejpam-6090	282	5	20(2):1201–1214	20(2):1201–1214	NUM
ejpam-6090	282	6	,	,	PUNCT
ejpam-6090	282	7	2019	2019	NUM
ejpam-6090	282	8	.	.	PUNCT
ejpam-6090	283	1	[	[	X
ejpam-6090	283	2	6	6	NUM
ejpam-6090	283	3	]	]	X
ejpam-6090	283	4	ewa	ewa	PROPN
ejpam-6090	283	5	schmeidel	schmeidel	PROPN
ejpam-6090	283	6	,	,	PUNCT
ejpam-6090	283	7	urszula	urszula	NOUN
ejpam-6090	283	8	ostaszewska	ostaszewska	NOUN
ejpam-6090	283	9	,	,	PUNCT
ejpam-6090	283	10	and	and	CCONJ
ejpam-6090	283	11	ma	ma	PROPN
ejpam-6090	283	12	lgorzata	lgorzata	PROPN
ejpam-6090	283	13	zdanowicz	zdanowicz	VERB
ejpam-6090	283	14	.	.	PUNCT
ejpam-6090	284	1	exponentially	exponentially	ADV
ejpam-6090	284	2	stable	stable	ADJ
ejpam-6090	284	3	solution	solution	NOUN
ejpam-6090	284	4	of	of	ADP
ejpam-6090	284	5	mathematical	mathematical	ADJ
ejpam-6090	284	6	model	model	NOUN
ejpam-6090	284	7	of	of	ADP
ejpam-6090	284	8	agents	agent	NOUN
ejpam-6090	284	9	dynamics	dynamic	NOUN
ejpam-6090	284	10	on	on	ADP
ejpam-6090	284	11	time	time	NOUN
ejpam-6090	284	12	scales	scale	NOUN
ejpam-6090	284	13	.	.	PUNCT
ejpam-6090	285	1	advances	advance	NOUN
ejpam-6090	285	2	in	in	ADP
ejpam-6090	285	3	difference	difference	NOUN
ejpam-6090	285	4	equations	equation	NOUN
ejpam-6090	285	5	,	,	PUNCT
ejpam-6090	285	6	2019:1–19	2019:1–19	NUM
ejpam-6090	285	7	,	,	PUNCT
ejpam-6090	285	8	2019	2019	NUM
ejpam-6090	285	9	.	.	PUNCT
ejpam-6090	286	1	[	[	X
ejpam-6090	286	2	7	7	X
ejpam-6090	286	3	]	]	X
ejpam-6090	286	4	a	a	DET
ejpam-6090	286	5	sreenivasulu	sreenivasulu	NOUN
ejpam-6090	286	6	and	and	CCONJ
ejpam-6090	286	7	bv	bv	PROPN
ejpam-6090	286	8	appa	appa	PROPN
ejpam-6090	286	9	rao	rao	PROPN
ejpam-6090	286	10	.	.	PUNCT
ejpam-6090	287	1	stability	stability	NOUN
ejpam-6090	287	2	criteria	criterion	NOUN
ejpam-6090	287	3	for	for	ADP
ejpam-6090	287	4	nonlinear	nonlinear	PROPN
ejpam-6090	287	5	volterra	volterra	PROPN
ejpam-6090	287	6	integrodynamic	integrodynamic	PROPN
ejpam-6090	287	7	matrix	matrix	NOUN
ejpam-6090	287	8	sylvester	sylvester	NOUN
ejpam-6090	287	9	systems	system	NOUN
ejpam-6090	287	10	on	on	ADP
ejpam-6090	287	11	measure	measure	NOUN
ejpam-6090	287	12	chains	chain	NOUN
ejpam-6090	287	13	.	.	PUNCT
ejpam-6090	288	1	advances	advance	NOUN
ejpam-6090	288	2	in	in	ADP
ejpam-6090	288	3	difference	difference	NOUN
ejpam-6090	288	4	equations	equation	NOUN
ejpam-6090	288	5	,	,	PUNCT
ejpam-6090	288	6	2021(1	2021(1	NUM
ejpam-6090	288	7	)	)	PUNCT
ejpam-6090	288	8	,	,	PUNCT
ejpam-6090	288	9	2021	2021	NUM
ejpam-6090	288	10	.	.	PUNCT
ejpam-6090	289	1	[	[	X
ejpam-6090	289	2	8	8	NUM
ejpam-6090	289	3	]	]	PUNCT
ejpam-6090	289	4	a	a	DET
ejpam-6090	289	5	sreenivasulu	sreenivasulu	NOUN
ejpam-6090	289	6	and	and	CCONJ
ejpam-6090	289	7	bv	bv	PROPN
ejpam-6090	289	8	appa	appa	PROPN
ejpam-6090	289	9	rao	rao	PROPN
ejpam-6090	289	10	.	.	PUNCT
ejpam-6090	290	1	stability	stability	NOUN
ejpam-6090	290	2	and	and	CCONJ
ejpam-6090	290	3	controllability	controllability	NOUN
ejpam-6090	290	4	for	for	ADP
ejpam-6090	290	5	volterra	volterra	NOUN
ejpam-6090	290	6	integrodynamical	integrodynamical	ADJ
ejpam-6090	290	7	matrix	matrix	NOUN
ejpam-6090	290	8	sylvester	sylvester	NOUN
ejpam-6090	290	9	impulsive	impulsive	ADJ
ejpam-6090	290	10	system	system	NOUN
ejpam-6090	290	11	on	on	ADP
ejpam-6090	290	12	time	time	NOUN
ejpam-6090	290	13	scales	scale	NOUN
ejpam-6090	290	14	.	.	PUNCT
ejpam-6090	291	1	journal	journal	NOUN
ejpam-6090	291	2	of	of	ADP
ejpam-6090	291	3	applied	apply	VERB
ejpam-6090	291	4	mathematics	mathematic	NOUN
ejpam-6090	291	5	and	and	CCONJ
ejpam-6090	291	6	computing	computing	NOUN
ejpam-6090	291	7	,	,	PUNCT
ejpam-6090	291	8	pages	page	NOUN
ejpam-6090	291	9	1–16	1–16	PROPN
ejpam-6090	291	10	,	,	PUNCT
ejpam-6090	291	11	2022	2022	NUM
ejpam-6090	291	12	.	.	PUNCT
ejpam-6090	292	1	[	[	X
ejpam-6090	292	2	9	9	NUM
ejpam-6090	292	3	]	]	PUNCT
ejpam-6090	292	4	a	a	DET
ejpam-6090	292	5	sreenivasulu	sreenivasulu	NOUN
ejpam-6090	292	6	and	and	CCONJ
ejpam-6090	292	7	bv	bv	PROPN
ejpam-6090	292	8	appa	appa	PROPN
ejpam-6090	292	9	rao	rao	PROPN
ejpam-6090	292	10	.	.	PUNCT
ejpam-6090	293	1	qualitative	qualitative	ADJ
ejpam-6090	293	2	aspects	aspect	NOUN
ejpam-6090	293	3	for	for	ADP
ejpam-6090	293	4	volterra	volterra	PROPN
ejpam-6090	293	5	integro	integro	PROPN
ejpam-6090	293	6	-	-	PUNCT
ejpam-6090	293	7	dynamic	dynamic	ADJ
ejpam-6090	293	8	ch	ch	NOUN
ejpam-6090	293	9	.	.	PUNCT
ejpam-6090	293	10	harisha	harisha	PROPN
ejpam-6090	293	11	,	,	PUNCT
ejpam-6090	293	12	b.	b.	PROPN
ejpam-6090	293	13	v.	v.	ADP
ejpam-6090	293	14	appa	appa	PROPN
ejpam-6090	293	15	rao	rao	PROPN
ejpam-6090	293	16	,	,	PUNCT
ejpam-6090	293	17	a.	a.	PROPN
ejpam-6090	293	18	sreenivasulu	sreenivasulu	PROPN
ejpam-6090	293	19	/	/	SYM
ejpam-6090	293	20	eur	eur	PROPN
ejpam-6090	293	21	.	.	PUNCT
ejpam-6090	294	1	j.	j.	PROPN
ejpam-6090	294	2	pure	pure	PROPN
ejpam-6090	294	3	appl	appl	PROPN
ejpam-6090	294	4	.	.	PROPN
ejpam-6090	294	5	math	math	PROPN
ejpam-6090	294	6	,	,	PUNCT
ejpam-6090	294	7	18	18	NUM
ejpam-6090	294	8	(	(	PUNCT
ejpam-6090	294	9	2	2	NUM
ejpam-6090	294	10	)	)	PUNCT
ejpam-6090	294	11	(	(	PUNCT
ejpam-6090	294	12	2025	2025	NUM
ejpam-6090	294	13	)	)	PUNCT
ejpam-6090	294	14	,	,	PUNCT
ejpam-6090	294	15	6090	6090	NUM
ejpam-6090	294	16	11	11	NUM
ejpam-6090	294	17	of	of	ADP
ejpam-6090	294	18	13	13	NUM
ejpam-6090	294	19	matrix	matrix	NOUN
ejpam-6090	294	20	sylvester	sylvester	NOUN
ejpam-6090	294	21	impulsive	impulsive	ADJ
ejpam-6090	294	22	system	system	NOUN
ejpam-6090	294	23	on	on	ADP
ejpam-6090	294	24	time	time	NOUN
ejpam-6090	294	25	scales	scale	NOUN
ejpam-6090	294	26	.	.	PUNCT
ejpam-6090	295	1	journal	journal	NOUN
ejpam-6090	295	2	of	of	ADP
ejpam-6090	295	3	applied	apply	VERB
ejpam-6090	295	4	nonlinear	nonlinear	ADJ
ejpam-6090	295	5	dynamics	dynamic	NOUN
ejpam-6090	295	6	,	,	PUNCT
ejpam-6090	295	7	13(01):65–81	13(01):65–81	NUM
ejpam-6090	295	8	,	,	PUNCT
ejpam-6090	295	9	2024	2024	NUM
ejpam-6090	295	10	.	.	PUNCT
ejpam-6090	296	1	[	[	X
ejpam-6090	296	2	10	10	NUM
ejpam-6090	296	3	]	]	X
ejpam-6090	296	4	gv	gv	AUX
ejpam-6090	296	5	ramana	ramana	PROPN
ejpam-6090	296	6	and	and	CCONJ
ejpam-6090	296	7	gvsr	gvsr	VERB
ejpam-6090	296	8	deekshitulu	deekshitulu	VERB
ejpam-6090	296	9	.	.	PUNCT
ejpam-6090	297	1	controllability	controllability	NOUN
ejpam-6090	297	2	,	,	PUNCT
ejpam-6090	297	3	observability	observability	NOUN
ejpam-6090	297	4	and	and	CCONJ
ejpam-6090	297	5	stability	stability	NOUN
ejpam-6090	297	6	of	of	ADP
ejpam-6090	297	7	volterra	volterra	PROPN
ejpam-6090	297	8	type	type	PROPN
ejpam-6090	297	9	non	non	ADJ
ejpam-6090	297	10	-	-	ADJ
ejpam-6090	297	11	linear	linear	ADJ
ejpam-6090	297	12	matrix	matrix	NOUN
ejpam-6090	297	13	integro	integro	ADJ
ejpam-6090	297	14	-	-	PUNCT
ejpam-6090	297	15	dynamic	dynamic	ADJ
ejpam-6090	297	16	system	system	NOUN
ejpam-6090	297	17	on	on	ADP
ejpam-6090	297	18	time	time	NOUN
ejpam-6090	297	19	scales	scale	NOUN
ejpam-6090	297	20	.	.	PUNCT
ejpam-6090	298	1	international	international	ADJ
ejpam-6090	298	2	journal	journal	PROPN
ejpam-6090	298	3	of	of	ADP
ejpam-6090	298	4	engineering	engineering	PROPN
ejpam-6090	298	5	&	&	CCONJ
ejpam-6090	298	6	technology	technology	PROPN
ejpam-6090	298	7	,	,	PUNCT
ejpam-6090	298	8	7(3.31):115–120	7(3.31):115–120	NUM
ejpam-6090	298	9	,	,	PUNCT
ejpam-6090	298	10	2018	2018	NUM
ejpam-6090	298	11	.	.	PUNCT
ejpam-6090	299	1	[	[	X
ejpam-6090	299	2	11	11	NUM
ejpam-6090	299	3	]	]	X
ejpam-6090	299	4	gv	gv	AUX
ejpam-6090	299	5	ramana	ramana	PROPN
ejpam-6090	299	6	and	and	CCONJ
ejpam-6090	299	7	gvsr	gvsr	VERB
ejpam-6090	299	8	deekshitulu	deekshitulu	VERB
ejpam-6090	299	9	.	.	PUNCT
ejpam-6090	300	1	asymptotic	asymptotic	ADJ
ejpam-6090	300	2	stability	stability	NOUN
ejpam-6090	300	3	of	of	ADP
ejpam-6090	300	4	solution	solution	NOUN
ejpam-6090	300	5	of	of	ADP
ejpam-6090	300	6	lyapunov	lyapunov	ADJ
ejpam-6090	300	7	type	type	NOUN
ejpam-6090	300	8	matrix	matrix	NOUN
ejpam-6090	300	9	volterra	volterra	NOUN
ejpam-6090	300	10	integro	integro	PROPN
ejpam-6090	300	11	-	-	PUNCT
ejpam-6090	300	12	dynamic	dynamic	ADJ
ejpam-6090	300	13	system	system	NOUN
ejpam-6090	300	14	on	on	ADP
ejpam-6090	300	15	time	time	NOUN
ejpam-6090	300	16	scales	scale	NOUN
ejpam-6090	300	17	.	.	PUNCT
ejpam-6090	301	1	international	international	ADJ
ejpam-6090	301	2	journal	journal	PROPN
ejpam-6090	301	3	of	of	ADP
ejpam-6090	301	4	engineering	engineering	PROPN
ejpam-6090	301	5	&	&	CCONJ
ejpam-6090	301	6	technology	technology	PROPN
ejpam-6090	301	7	,	,	PUNCT
ejpam-6090	301	8	7(3.31):179–185	7(3.31):179–185	PROPN
ejpam-6090	301	9	,	,	PUNCT
ejpam-6090	301	10	2017	2017	NUM
ejpam-6090	301	11	.	.	PUNCT
ejpam-6090	302	1	[	[	X
ejpam-6090	302	2	12	12	NUM
ejpam-6090	302	3	]	]	SYM
ejpam-6090	302	4	rs	rs	PROPN
ejpam-6090	302	5	shivasivapriyaa	shivasivapriyaa	PROPN
ejpam-6090	302	6	,	,	PUNCT
ejpam-6090	302	7	s	s	PART
ejpam-6090	302	8	karthikeyan	karthikeyan	PROPN
ejpam-6090	302	9	,	,	PUNCT
ejpam-6090	302	10	v	v	NOUN
ejpam-6090	302	11	govindaraj	govindaraj	NOUN
ejpam-6090	302	12	,	,	PUNCT
ejpam-6090	302	13	and	and	CCONJ
ejpam-6090	302	14	k	k	PROPN
ejpam-6090	302	15	balachandran	balachandran	PROPN
ejpam-6090	302	16	.	.	PUNCT
ejpam-6090	303	1	controllability	controllability	NOUN
ejpam-6090	303	2	of	of	ADP
ejpam-6090	303	3	volterra	volterra	PROPN
ejpam-6090	303	4	integro	integro	PROPN
ejpam-6090	303	5	-	-	PUNCT
ejpam-6090	303	6	dynamic	dynamic	ADJ
ejpam-6090	303	7	systems	system	NOUN
ejpam-6090	303	8	with	with	ADP
ejpam-6090	303	9	prescribed	prescribe	VERB
ejpam-6090	303	10	controls	control	NOUN
ejpam-6090	303	11	on	on	ADP
ejpam-6090	303	12	time	time	NOUN
ejpam-6090	303	13	scales	scale	NOUN
ejpam-6090	303	14	.	.	PUNCT
ejpam-6090	304	1	journal	journal	PROPN
ejpam-6090	304	2	of	of	ADP
ejpam-6090	304	3	control	control	NOUN
ejpam-6090	304	4	and	and	CCONJ
ejpam-6090	304	5	decision	decision	NOUN
ejpam-6090	304	6	,	,	PUNCT
ejpam-6090	304	7	pages	page	NOUN
ejpam-6090	304	8	1–15	1–15	PROPN
ejpam-6090	304	9	,	,	PUNCT
ejpam-6090	304	10	2024	2024	NUM
ejpam-6090	304	11	.	.	PUNCT
ejpam-6090	305	1	[	[	X
ejpam-6090	305	2	13	13	NUM
ejpam-6090	305	3	]	]	PUNCT
ejpam-6090	305	4	bernd	bernd	PROPN
ejpam-6090	305	5	aulbach	aulbach	PROPN
ejpam-6090	305	6	and	and	CCONJ
ejpam-6090	305	7	stefan	stefan	PROPN
ejpam-6090	305	8	hilger	hilger	PROPN
ejpam-6090	305	9	.	.	PUNCT
ejpam-6090	306	1	a	a	DET
ejpam-6090	306	2	unified	unified	ADJ
ejpam-6090	306	3	approach	approach	NOUN
ejpam-6090	306	4	to	to	ADP
ejpam-6090	306	5	continuous	continuous	ADJ
ejpam-6090	306	6	and	and	CCONJ
ejpam-6090	306	7	discrete	discrete	ADJ
ejpam-6090	306	8	dynamics	dynamic	NOUN
ejpam-6090	306	9	.	.	PUNCT
ejpam-6090	307	1	1990	1990	NUM
ejpam-6090	307	2	.	.	PUNCT
ejpam-6090	308	1	[	[	X
ejpam-6090	308	2	14	14	NUM
ejpam-6090	308	3	]	]	X
ejpam-6090	308	4	sigrun	sigrun	PROPN
ejpam-6090	308	5	bodine	bodine	PROPN
ejpam-6090	308	6	and	and	CCONJ
ejpam-6090	308	7	d	d	PROPN
ejpam-6090	308	8	lutz	lutz	PROPN
ejpam-6090	308	9	.	.	PUNCT
ejpam-6090	309	1	exponential	exponential	ADJ
ejpam-6090	309	2	functions	function	NOUN
ejpam-6090	309	3	on	on	ADP
ejpam-6090	309	4	time	time	NOUN
ejpam-6090	309	5	scales	scale	NOUN
ejpam-6090	309	6	:	:	PUNCT
ejpam-6090	309	7	their	their	PRON
ejpam-6090	309	8	asymptotic	asymptotic	ADJ
ejpam-6090	309	9	behavior	behavior	NOUN
ejpam-6090	309	10	and	and	CCONJ
ejpam-6090	309	11	calculation	calculation	NOUN
ejpam-6090	309	12	.	.	PUNCT
ejpam-6090	310	1	dynamic	dynamic	ADJ
ejpam-6090	310	2	systems	system	NOUN
ejpam-6090	310	3	and	and	CCONJ
ejpam-6090	310	4	applications	application	NOUN
ejpam-6090	310	5	,	,	PUNCT
ejpam-6090	310	6	12(1/2):23–44	12(1/2):23–44	NUM
ejpam-6090	310	7	,	,	PUNCT
ejpam-6090	310	8	2003	2003	NUM
ejpam-6090	310	9	.	.	PUNCT
ejpam-6090	311	1	[	[	X
ejpam-6090	311	2	15	15	NUM
ejpam-6090	311	3	]	]	X
ejpam-6090	311	4	allan	allan	PROPN
ejpam-6090	311	5	c	c	PROPN
ejpam-6090	311	6	peterson	peterson	PROPN
ejpam-6090	311	7	and	and	CCONJ
ejpam-6090	311	8	youssef	youssef	PROPN
ejpam-6090	311	9	n	n	PRON
ejpam-6090	311	10	raffoul	raffoul	PROPN
ejpam-6090	311	11	.	.	PUNCT
ejpam-6090	312	1	exponential	exponential	ADJ
ejpam-6090	312	2	stability	stability	NOUN
ejpam-6090	312	3	of	of	ADP
ejpam-6090	312	4	dynamic	dynamic	ADJ
ejpam-6090	312	5	equations	equation	NOUN
ejpam-6090	312	6	on	on	ADP
ejpam-6090	312	7	time	time	NOUN
ejpam-6090	312	8	scales	scale	NOUN
ejpam-6090	312	9	.	.	PUNCT
ejpam-6090	313	1	advances	advance	NOUN
ejpam-6090	313	2	in	in	ADP
ejpam-6090	313	3	difference	difference	NOUN
ejpam-6090	313	4	equations	equation	NOUN
ejpam-6090	313	5	,	,	PUNCT
ejpam-6090	313	6	2005:1–12	2005:1–12	NUM
ejpam-6090	313	7	,	,	PUNCT
ejpam-6090	313	8	2005	2005	NUM
ejpam-6090	313	9	.	.	PUNCT
ejpam-6090	314	1	[	[	X
ejpam-6090	314	2	16	16	NUM
ejpam-6090	314	3	]	]	PUNCT
ejpam-6090	314	4	ağacık	ağacık	PROPN
ejpam-6090	314	5	zafer	zafer	PROPN
ejpam-6090	314	6	.	.	PUNCT
ejpam-6090	315	1	the	the	DET
ejpam-6090	315	2	exponential	exponential	NOUN
ejpam-6090	315	3	of	of	ADP
ejpam-6090	315	4	a	a	DET
ejpam-6090	315	5	constant	constant	ADJ
ejpam-6090	315	6	matrix	matrix	NOUN
ejpam-6090	315	7	on	on	ADP
ejpam-6090	315	8	time	time	NOUN
ejpam-6090	315	9	scales	scale	NOUN
ejpam-6090	315	10	.	.	PUNCT
ejpam-6090	316	1	the	the	DET
ejpam-6090	316	2	anziam	anziam	PROPN
ejpam-6090	316	3	journal	journal	PROPN
ejpam-6090	316	4	,	,	PUNCT
ejpam-6090	316	5	48(1):99–106	48(1):99–106	NOUN
ejpam-6090	316	6	,	,	PUNCT
ejpam-6090	316	7	2006	2006	NUM
ejpam-6090	316	8	.	.	PUNCT
ejpam-6090	317	1	[	[	X
ejpam-6090	317	2	17	17	NUM
ejpam-6090	317	3	]	]	PUNCT
ejpam-6090	317	4	nagalakshmi	nagalakshmi	NOUN
ejpam-6090	317	5	soma	soma	NOUN
ejpam-6090	317	6	,	,	PUNCT
ejpam-6090	317	7	grande	grande	PROPN
ejpam-6090	317	8	suresh	suresh	PROPN
ejpam-6090	317	9	kumar	kumar	PROPN
ejpam-6090	317	10	,	,	PUNCT
ejpam-6090	317	11	ravi	ravi	PROPN
ejpam-6090	317	12	prakash	prakash	PROPN
ejpam-6090	317	13	agarwal	agarwal	PROPN
ejpam-6090	317	14	,	,	PUNCT
ejpam-6090	317	15	chao	chao	PROPN
ejpam-6090	317	16	wang	wang	PROPN
ejpam-6090	317	17	,	,	PUNCT
ejpam-6090	317	18	and	and	CCONJ
ejpam-6090	317	19	madhunapantula	madhunapantula	NOUN
ejpam-6090	317	20	surya	surya	PROPN
ejpam-6090	317	21	narayana	narayana	PROPN
ejpam-6090	317	22	murty	murty	PROPN
ejpam-6090	317	23	.	.	PUNCT
ejpam-6090	318	1	existence	existence	NOUN
ejpam-6090	318	2	and	and	CCONJ
ejpam-6090	318	3	uniqueness	uniqueness	NOUN
ejpam-6090	318	4	of	of	ADP
ejpam-6090	318	5	solutions	solution	NOUN
ejpam-6090	318	6	for	for	ADP
ejpam-6090	318	7	fuzzy	fuzzy	ADJ
ejpam-6090	318	8	boundary	boundary	ADJ
ejpam-6090	318	9	value	value	NOUN
ejpam-6090	318	10	problems	problem	NOUN
ejpam-6090	318	11	under	under	ADP
ejpam-6090	318	12	granular	granular	ADJ
ejpam-6090	318	13	differentiability	differentiability	NOUN
ejpam-6090	318	14	.	.	PUNCT
ejpam-6090	318	15	fuzzy	fuzzy	ADJ
ejpam-6090	318	16	information	information	NOUN
ejpam-6090	318	17	and	and	CCONJ
ejpam-6090	318	18	engineering	engineering	NOUN
ejpam-6090	318	19	,	,	PUNCT
ejpam-6090	318	20	15(3):291–312	15(3):291–312	PROPN
ejpam-6090	318	21	,	,	PUNCT
ejpam-6090	318	22	2023	2023	NUM
ejpam-6090	318	23	.	.	PUNCT
ejpam-6090	319	1	[	[	X
ejpam-6090	319	2	18	18	NUM
ejpam-6090	319	3	]	]	PUNCT
ejpam-6090	319	4	t	t	PROPN
ejpam-6090	319	5	srinivasa	srinivasa	PROPN
ejpam-6090	319	6	rao	rao	PROPN
ejpam-6090	319	7	,	,	PUNCT
ejpam-6090	319	8	g	g	PROPN
ejpam-6090	319	9	suresh	suresh	PROPN
ejpam-6090	319	10	kumar	kumar	PROPN
ejpam-6090	319	11	,	,	PUNCT
ejpam-6090	319	12	and	and	CCONJ
ejpam-6090	319	13	msn	msn	PROPN
ejpam-6090	319	14	murty	murty	NOUN
ejpam-6090	319	15	.	.	PUNCT
ejpam-6090	320	1	ψ	ψ	X
ejpam-6090	320	2	-	-	NOUN
ejpam-6090	320	3	stability	stability	NOUN
ejpam-6090	320	4	for	for	ADP
ejpam-6090	320	5	nonlinear	nonlinear	ADJ
ejpam-6090	320	6	difference	difference	NOUN
ejpam-6090	320	7	equations	equation	NOUN
ejpam-6090	320	8	.	.	PUNCT
ejpam-6090	321	1	thai	thai	PROPN
ejpam-6090	321	2	journal	journal	PROPN
ejpam-6090	321	3	of	of	ADP
ejpam-6090	321	4	mathematics	mathematic	NOUN
ejpam-6090	321	5	,	,	PUNCT
ejpam-6090	321	6	16(3):801–815	16(3):801–815	PROPN
ejpam-6090	321	7	,	,	PUNCT
ejpam-6090	321	8	2018	2018	NUM
ejpam-6090	321	9	.	.	PUNCT
ejpam-6090	322	1	[	[	X
ejpam-6090	322	2	19	19	NUM
ejpam-6090	322	3	]	]	PUNCT
ejpam-6090	322	4	t	t	PROPN
ejpam-6090	322	5	srinivasa	srinivasa	PROPN
ejpam-6090	322	6	rao	rao	PROPN
ejpam-6090	322	7	,	,	PUNCT
ejpam-6090	322	8	g	g	PROPN
ejpam-6090	322	9	suresh	suresh	PROPN
ejpam-6090	322	10	kumar	kumar	PROPN
ejpam-6090	322	11	,	,	PUNCT
ejpam-6090	322	12	ch	ch	NOUN
ejpam-6090	322	13	vasavi	vasavi	NOUN
ejpam-6090	322	14	,	,	PUNCT
ejpam-6090	322	15	and	and	CCONJ
ejpam-6090	322	16	msn	msn	PROPN
ejpam-6090	322	17	murty	murty	NOUN
ejpam-6090	322	18	.	.	PUNCT
ejpam-6090	323	1	existence	existence	NOUN
ejpam-6090	323	2	and	and	CCONJ
ejpam-6090	323	3	uniqueness	uniqueness	NOUN
ejpam-6090	323	4	of	of	ADP
ejpam-6090	323	5	ψ	ψ	NOUN
ejpam-6090	323	6	-	-	ADJ
ejpam-6090	323	7	bounded	bounded	ADJ
ejpam-6090	323	8	solutions	solution	NOUN
ejpam-6090	323	9	for	for	ADP
ejpam-6090	323	10	nonlinear	nonlinear	ADJ
ejpam-6090	323	11	matrix	matrix	NOUN
ejpam-6090	323	12	difference	difference	NOUN
ejpam-6090	323	13	equations	equation	NOUN
ejpam-6090	323	14	.	.	PUNCT
ejpam-6090	324	1	italian	italian	ADJ
ejpam-6090	324	2	journal	journal	NOUN
ejpam-6090	324	3	of	of	ADP
ejpam-6090	324	4	pure	pure	ADJ
ejpam-6090	324	5	and	and	CCONJ
ejpam-6090	324	6	applied	applied	ADJ
ejpam-6090	324	7	mathematics	mathematic	NOUN
ejpam-6090	324	8	,	,	PUNCT
ejpam-6090	324	9	35:453–464	35:453–464	NUM
ejpam-6090	324	10	,	,	PUNCT
ejpam-6090	324	11	2015	2015	NUM
ejpam-6090	324	12	.	.	PUNCT
ejpam-6090	325	1	[	[	X
ejpam-6090	325	2	20	20	NUM
ejpam-6090	325	3	]	]	X
ejpam-6090	325	4	murat	murat	NOUN
ejpam-6090	325	5	adıvar	adıvar	NOUN
ejpam-6090	325	6	and	and	CCONJ
ejpam-6090	325	7	youssef	youssef	PROPN
ejpam-6090	325	8	n	n	PRON
ejpam-6090	325	9	raffoul	raffoul	PROPN
ejpam-6090	325	10	.	.	PUNCT
ejpam-6090	326	1	stability	stability	NOUN
ejpam-6090	326	2	of	of	ADP
ejpam-6090	326	3	dynamical	dynamical	ADJ
ejpam-6090	326	4	systems	system	NOUN
ejpam-6090	326	5	on	on	ADP
ejpam-6090	326	6	time	time	NOUN
ejpam-6090	326	7	scales	scale	NOUN
ejpam-6090	326	8	.	.	PUNCT
ejpam-6090	327	1	international	international	ADJ
ejpam-6090	327	2	journal	journal	PROPN
ejpam-6090	327	3	of	of	ADP
ejpam-6090	327	4	difference	difference	NOUN
ejpam-6090	327	5	equations	equation	NOUN
ejpam-6090	327	6	,	,	PUNCT
ejpam-6090	327	7	15(1):11–29	15(1):11–29	NUM
ejpam-6090	327	8	,	,	PUNCT
ejpam-6090	327	9	2020	2020	NUM
ejpam-6090	327	10	.	.	PUNCT
ejpam-6090	328	1	[	[	X
ejpam-6090	328	2	21	21	NUM
ejpam-6090	328	3	]	]	PUNCT
ejpam-6090	328	4	aurel	aurel	PROPN
ejpam-6090	328	5	diamandescu	diamandescu	PROPN
ejpam-6090	328	6	.	.	PUNCT
ejpam-6090	329	1	on	on	ADP
ejpam-6090	329	2	the	the	DET
ejpam-6090	329	3	ψ	ψ	ADJ
ejpam-6090	329	4	-	-	ADJ
ejpam-6090	329	5	conditional	conditional	ADJ
ejpam-6090	329	6	asymptotic	asymptotic	ADJ
ejpam-6090	329	7	stability	stability	NOUN
ejpam-6090	329	8	of	of	ADP
ejpam-6090	329	9	nonlinear	nonlinear	ADJ
ejpam-6090	329	10	lyapunov	lyapunov	ADJ
ejpam-6090	329	11	matrix	matrix	NOUN
ejpam-6090	329	12	differential	differential	NOUN
ejpam-6090	329	13	equations	equation	NOUN
ejpam-6090	329	14	.	.	PUNCT
ejpam-6090	330	1	analele	analele	PROPN
ejpam-6090	330	2	universitatii	universitatii	PROPN
ejpam-6090	330	3	de	de	X
ejpam-6090	330	4	vest	vest	PROPN
ejpam-6090	330	5	,	,	PUNCT
ejpam-6090	330	6	timisoara	timisoara	PROPN
ejpam-6090	330	7	,	,	PUNCT
ejpam-6090	330	8	seria	seria	PROPN
ejpam-6090	330	9	matematica	matematica	PROPN
ejpam-6090	330	10	-	-	PUNCT
ejpam-6090	330	11	informatica	informatica	PROPN
ejpam-6090	330	12	,	,	PUNCT
ejpam-6090	330	13	liii	liii	PROPN
ejpam-6090	330	14	,	,	PUNCT
ejpam-6090	330	15	2:29–58	2:29–58	NUM
ejpam-6090	330	16	,	,	PUNCT
ejpam-6090	330	17	2015	2015	NUM
ejpam-6090	330	18	.	.	PUNCT
ejpam-6090	331	1	[	[	X
ejpam-6090	331	2	22	22	NUM
ejpam-6090	331	3	]	]	PUNCT
ejpam-6090	331	4	aurel	aurel	NOUN
ejpam-6090	331	5	diamandescu	diamandescu	PROPN
ejpam-6090	331	6	.	.	PUNCT
ejpam-6090	332	1	on	on	ADP
ejpam-6090	332	2	the	the	DET
ejpam-6090	332	3	ψ	ψ	ADJ
ejpam-6090	332	4	-	-	ADJ
ejpam-6090	332	5	conditional	conditional	ADJ
ejpam-6090	332	6	asymptotic	asymptotic	ADJ
ejpam-6090	332	7	stability	stability	NOUN
ejpam-6090	332	8	of	of	ADP
ejpam-6090	332	9	nonlinear	nonlinear	ADJ
ejpam-6090	332	10	lyapunov	lyapunov	ADJ
ejpam-6090	332	11	matrix	matrix	NOUN
ejpam-6090	332	12	differential	differential	NOUN
ejpam-6090	332	13	equations	equation	NOUN
ejpam-6090	332	14	.	.	PUNCT
ejpam-6090	333	1	analele	analele	PROPN
ejpam-6090	333	2	universitatii	universitatii	PROPN
ejpam-6090	333	3	de	de	X
ejpam-6090	333	4	vest	vest	PROPN
ejpam-6090	333	5	,	,	PUNCT
ejpam-6090	333	6	timisoara	timisoara	PROPN
ejpam-6090	333	7	,	,	PUNCT
ejpam-6090	333	8	seria	seria	PROPN
ejpam-6090	333	9	matematica	matematica	PROPN
ejpam-6090	333	10	-	-	PUNCT
ejpam-6090	333	11	informatica	informatica	PROPN
ejpam-6090	333	12	,	,	PUNCT
ejpam-6090	333	13	liii	liii	PROPN
ejpam-6090	333	14	,	,	PUNCT
ejpam-6090	333	15	2:29–58	2:29–58	NUM
ejpam-6090	333	16	,	,	PUNCT
ejpam-6090	333	17	2015	2015	NUM
ejpam-6090	333	18	.	.	PUNCT
ejpam-6090	334	1	[	[	X
ejpam-6090	334	2	23	23	NUM
ejpam-6090	334	3	]	]	X
ejpam-6090	334	4	appa	appa	PROPN
ejpam-6090	334	5	bv	bv	PROPN
ejpam-6090	334	6	rao	rao	PROPN
ejpam-6090	334	7	and	and	CCONJ
ejpam-6090	334	8	kasnv	kasnv	PROPN
ejpam-6090	334	9	prasad	prasad	PROPN
ejpam-6090	334	10	.	.	PUNCT
ejpam-6090	335	1	existence	existence	NOUN
ejpam-6090	335	2	of	of	ADP
ejpam-6090	335	3	ψ	ψ	NOUN
ejpam-6090	335	4	-	-	ADJ
ejpam-6090	335	5	bounded	bounded	ADJ
ejpam-6090	335	6	solutions	solution	NOUN
ejpam-6090	335	7	for	for	ADP
ejpam-6090	335	8	sylvester	sylvester	ADJ
ejpam-6090	335	9	matrix	matrix	NOUN
ejpam-6090	335	10	dynamical	dynamical	ADJ
ejpam-6090	335	11	systems	system	NOUN
ejpam-6090	335	12	on	on	ADP
ejpam-6090	335	13	time	time	NOUN
ejpam-6090	335	14	scales	scale	NOUN
ejpam-6090	335	15	.	.	PUNCT
ejpam-6090	336	1	filomat	filomat	PROPN
ejpam-6090	336	2	,	,	PUNCT
ejpam-6090	336	3	32(12):4209–4219	32(12):4209–4219	PROPN
ejpam-6090	336	4	,	,	PUNCT
ejpam-6090	336	5	2018	2018	NUM
ejpam-6090	336	6	.	.	PUNCT
ejpam-6090	337	1	[	[	X
ejpam-6090	337	2	24	24	NUM
ejpam-6090	337	3	]	]	PUNCT
ejpam-6090	337	4	ewa	ewa	PROPN
ejpam-6090	337	5	girejko	girejko	PROPN
ejpam-6090	337	6	,	,	PUNCT
ejpam-6090	337	7	lúıs	lúıs	NOUN
ejpam-6090	337	8	machado	machado	PROPN
ejpam-6090	337	9	,	,	PUNCT
ejpam-6090	337	10	agnieszka	agnieszka	PROPN
ejpam-6090	337	11	b	b	PROPN
ejpam-6090	337	12	malinowska	malinowska	PROPN
ejpam-6090	337	13	,	,	PUNCT
ejpam-6090	337	14	and	and	CCONJ
ejpam-6090	337	15	natália	natália	DET
ejpam-6090	337	16	martins	martin	NOUN
ejpam-6090	337	17	.	.	PUNCT
ejpam-6090	338	1	krause	krause	NOUN
ejpam-6090	338	2	’s	’s	PART
ejpam-6090	338	3	model	model	NOUN
ejpam-6090	338	4	of	of	ADP
ejpam-6090	338	5	opinion	opinion	NOUN
ejpam-6090	338	6	dynamics	dynamic	NOUN
ejpam-6090	338	7	on	on	ADP
ejpam-6090	338	8	isolated	isolated	ADJ
ejpam-6090	338	9	time	time	NOUN
ejpam-6090	338	10	scales	scale	NOUN
ejpam-6090	338	11	.	.	PUNCT
ejpam-6090	339	1	mathematical	mathematical	ADJ
ejpam-6090	339	2	methods	method	NOUN
ejpam-6090	339	3	in	in	ADP
ejpam-6090	339	4	the	the	DET
ejpam-6090	339	5	applied	apply	VERB
ejpam-6090	339	6	sciences	science	NOUN
ejpam-6090	339	7	,	,	PUNCT
ejpam-6090	339	8	39(18):5302–5314	39(18):5302–5314	NUM
ejpam-6090	339	9	,	,	PUNCT
ejpam-6090	339	10	2016	2016	NUM
ejpam-6090	339	11	.	.	PUNCT
ejpam-6090	340	1	[	[	X
ejpam-6090	340	2	25	25	NUM
ejpam-6090	340	3	]	]	PUNCT
ejpam-6090	340	4	başak	başak	PRON
ejpam-6090	340	5	karpuz	karpuz	NOUN
ejpam-6090	340	6	and	and	CCONJ
ejpam-6090	340	7	halis	halis	PROPN
ejpam-6090	340	8	can	can	AUX
ejpam-6090	340	9	koyuncuoğlu	koyuncuoğlu	PROPN
ejpam-6090	340	10	.	.	PUNCT
ejpam-6090	340	11	positivity	positivity	NOUN
ejpam-6090	340	12	and	and	CCONJ
ejpam-6090	340	13	uniform	uniform	ADJ
ejpam-6090	340	14	exponential	exponential	ADJ
ejpam-6090	340	15	stability	stability	NOUN
ejpam-6090	340	16	for	for	ADP
ejpam-6090	340	17	volterra	volterra	PROPN
ejpam-6090	340	18	integro	integro	PROPN
ejpam-6090	340	19	-	-	PUNCT
ejpam-6090	340	20	dynamical	dynamical	ADJ
ejpam-6090	340	21	systems	system	NOUN
ejpam-6090	340	22	on	on	ADP
ejpam-6090	340	23	time	time	NOUN
ejpam-6090	340	24	scales	scale	NOUN
ejpam-6090	340	25	.	.	PUNCT
ejpam-6090	341	1	nonlinear	nonlinear	ADJ
ejpam-6090	341	2	analysis	analysis	NOUN
ejpam-6090	341	3	:	:	PUNCT
ejpam-6090	341	4	hybrid	hybrid	ADJ
ejpam-6090	341	5	ch	ch	NOUN
ejpam-6090	341	6	.	.	PUNCT
ejpam-6090	341	7	harisha	harisha	PROPN
ejpam-6090	341	8	,	,	PUNCT
ejpam-6090	341	9	b.	b.	PROPN
ejpam-6090	341	10	v.	v.	ADP
ejpam-6090	341	11	appa	appa	PROPN
ejpam-6090	341	12	rao	rao	PROPN
ejpam-6090	341	13	,	,	PUNCT
ejpam-6090	341	14	a.	a.	PROPN
ejpam-6090	341	15	sreenivasulu	sreenivasulu	PROPN
ejpam-6090	341	16	/	/	SYM
ejpam-6090	341	17	eur	eur	PROPN
ejpam-6090	341	18	.	.	PUNCT
ejpam-6090	342	1	j.	j.	PROPN
ejpam-6090	342	2	pure	pure	PROPN
ejpam-6090	342	3	appl	appl	PROPN
ejpam-6090	342	4	.	.	PROPN
ejpam-6090	342	5	math	math	PROPN
ejpam-6090	342	6	,	,	PUNCT
ejpam-6090	342	7	18	18	NUM
ejpam-6090	342	8	(	(	PUNCT
ejpam-6090	342	9	2	2	NUM
ejpam-6090	342	10	)	)	PUNCT
ejpam-6090	342	11	(	(	PUNCT
ejpam-6090	342	12	2025	2025	NUM
ejpam-6090	342	13	)	)	PUNCT
ejpam-6090	342	14	,	,	PUNCT
ejpam-6090	342	15	6090	6090	NUM
ejpam-6090	342	16	12	12	NUM
ejpam-6090	342	17	of	of	ADP
ejpam-6090	342	18	13	13	NUM
ejpam-6090	342	19	systems	system	NOUN
ejpam-6090	342	20	,	,	PUNCT
ejpam-6090	342	21	41:101049	41:101049	NOUN
ejpam-6090	342	22	,	,	PUNCT
ejpam-6090	342	23	2021	2021	NUM
ejpam-6090	342	24	.	.	PUNCT
ejpam-6090	343	1	[	[	X
ejpam-6090	343	2	26	26	NUM
ejpam-6090	343	3	]	]	X
ejpam-6090	343	4	cheng	cheng	PROPN
ejpam-6090	343	5	-	-	PUNCT
ejpam-6090	343	6	xiu	xiu	PROPN
ejpam-6090	343	7	qiang	qiang	PROPN
ejpam-6090	343	8	,	,	PUNCT
ejpam-6090	343	9	jian	jian	PROPN
ejpam-6090	343	10	-	-	PUNCT
ejpam-6090	343	11	ping	ping	PROPN
ejpam-6090	343	12	sun	sun	NOUN
ejpam-6090	343	13	,	,	PUNCT
ejpam-6090	343	14	and	and	CCONJ
ejpam-6090	343	15	ya	ya	PROPN
ejpam-6090	343	16	-	-	PUNCT
ejpam-6090	343	17	hong	hong	PROPN
ejpam-6090	343	18	zhao	zhao	PROPN
ejpam-6090	343	19	.	.	PUNCT
ejpam-6090	344	1	exponential	exponential	ADJ
ejpam-6090	344	2	stability	stability	NOUN
ejpam-6090	344	3	for	for	ADP
ejpam-6090	344	4	nonlinear	nonlinear	ADJ
ejpam-6090	344	5	time	time	NOUN
ejpam-6090	344	6	-	-	PUNCT
ejpam-6090	344	7	varying	vary	VERB
ejpam-6090	344	8	systems	system	NOUN
ejpam-6090	344	9	on	on	ADP
ejpam-6090	344	10	time	time	NOUN
ejpam-6090	344	11	scales	scale	NOUN
ejpam-6090	344	12	.	.	PUNCT
ejpam-6090	345	1	international	international	ADJ
ejpam-6090	345	2	journal	journal	PROPN
ejpam-6090	345	3	of	of	ADP
ejpam-6090	345	4	control	control	PROPN
ejpam-6090	345	5	,	,	PUNCT
ejpam-6090	345	6	97(7):1647–1657	97(7):1647–1657	NUM
ejpam-6090	345	7	,	,	PUNCT
ejpam-6090	345	8	2024	2024	NUM
ejpam-6090	345	9	.	.	PUNCT
ejpam-6090	346	1	[	[	X
ejpam-6090	346	2	27	27	NUM
ejpam-6090	346	3	]	]	X
ejpam-6090	346	4	lakhlifa	lakhlifa	PROPN
ejpam-6090	346	5	sadek	sadek	PROPN
ejpam-6090	346	6	.	.	PUNCT
ejpam-6090	347	1	controllability	controllability	NOUN
ejpam-6090	347	2	,	,	PUNCT
ejpam-6090	347	3	observability	observability	NOUN
ejpam-6090	347	4	,	,	PUNCT
ejpam-6090	347	5	and	and	CCONJ
ejpam-6090	347	6	stability	stability	NOUN
ejpam-6090	347	7	of	of	ADP
ejpam-6090	347	8	φ	φ	VERB
ejpam-6090	347	9	-	-	ADJ
ejpam-6090	347	10	conformable	conformable	ADJ
ejpam-6090	347	11	fractional	fractional	ADJ
ejpam-6090	347	12	linear	linear	ADJ
ejpam-6090	347	13	dynamical	dynamical	ADJ
ejpam-6090	347	14	systems	system	NOUN
ejpam-6090	347	15	.	.	PUNCT
ejpam-6090	348	1	asian	asian	ADJ
ejpam-6090	348	2	journal	journal	PROPN
ejpam-6090	348	3	of	of	ADP
ejpam-6090	348	4	control	control	NOUN
ejpam-6090	348	5	,	,	PUNCT
ejpam-6090	348	6	26(5):2476–2494	26(5):2476–2494	NUM
ejpam-6090	348	7	,	,	PUNCT
ejpam-6090	348	8	2024	2024	NUM
ejpam-6090	348	9	.	.	PUNCT
ejpam-6090	349	1	[	[	X
ejpam-6090	349	2	28	28	NUM
ejpam-6090	349	3	]	]	X
ejpam-6090	349	4	lakhlifa	lakhlifa	PROPN
ejpam-6090	349	5	sadek	sadek	PROPN
ejpam-6090	349	6	and	and	CCONJ
ejpam-6090	349	7	hamad	hamad	PROPN
ejpam-6090	349	8	talibi	talibi	PROPN
ejpam-6090	349	9	alaoui	alaoui	PROPN
ejpam-6090	349	10	.	.	PUNCT
ejpam-6090	350	1	numerical	numerical	ADJ
ejpam-6090	350	2	method	method	NOUN
ejpam-6090	350	3	for	for	ADP
ejpam-6090	350	4	solving	solve	VERB
ejpam-6090	350	5	largescale	largescale	NOUN
ejpam-6090	350	6	differential	differential	NOUN
ejpam-6090	350	7	differential	differential	NOUN
ejpam-6090	350	8	t	t	PROPN
ejpam-6090	350	9	-	-	PUNCT
ejpam-6090	350	10	sylvester	sylvester	NOUN
ejpam-6090	350	11	and	and	CCONJ
ejpam-6090	350	12	nonsymmetric	nonsymmetric	PROPN
ejpam-6090	350	13	t	t	PROPN
ejpam-6090	350	14	-	-	PUNCT
ejpam-6090	350	15	riccati	riccati	PROPN
ejpam-6090	350	16	matrix	matrix	NOUN
ejpam-6090	350	17	equations	equation	NOUN
ejpam-6090	350	18	.	.	PUNCT
ejpam-6090	351	1	afrika	afrika	PROPN
ejpam-6090	351	2	matematika	matematika	PROPN
ejpam-6090	351	3	,	,	PUNCT
ejpam-6090	351	4	36(1):32	36(1):32	NUM
ejpam-6090	351	5	,	,	PUNCT
ejpam-6090	351	6	2025	2025	NUM
ejpam-6090	351	7	.	.	PUNCT
ejpam-6090	352	1	[	[	X
ejpam-6090	352	2	29	29	NUM
ejpam-6090	352	3	]	]	X
ejpam-6090	352	4	lakhlifa	lakhlifa	PROPN
ejpam-6090	352	5	sadek	sadek	PROPN
ejpam-6090	352	6	,	,	PUNCT
ejpam-6090	352	7	fahd	fahd	PROPN
ejpam-6090	352	8	jarad	jarad	PROPN
ejpam-6090	352	9	,	,	PUNCT
ejpam-6090	352	10	et	et	PROPN
ejpam-6090	352	11	al	al	PROPN
ejpam-6090	352	12	.	.	PUNCT
ejpam-6090	353	1	the	the	DET
ejpam-6090	353	2	general	general	PROPN
ejpam-6090	353	3	caputo	caputo	PROPN
ejpam-6090	353	4	–	–	PUNCT
ejpam-6090	353	5	katugampola	katugampola	ADJ
ejpam-6090	353	6	fractional	fractional	ADJ
ejpam-6090	353	7	derivative	derivative	ADJ
ejpam-6090	353	8	and	and	CCONJ
ejpam-6090	353	9	numerical	numerical	ADJ
ejpam-6090	353	10	approach	approach	NOUN
ejpam-6090	353	11	for	for	ADP
ejpam-6090	353	12	solving	solve	VERB
ejpam-6090	353	13	the	the	DET
ejpam-6090	353	14	fractional	fractional	ADJ
ejpam-6090	353	15	differential	differential	ADJ
ejpam-6090	353	16	equations	equation	NOUN
ejpam-6090	353	17	.	.	PUNCT
ejpam-6090	354	1	alexandria	alexandria	PROPN
ejpam-6090	354	2	engineering	engineering	PROPN
ejpam-6090	354	3	journal	journal	PROPN
ejpam-6090	354	4	,	,	PUNCT
ejpam-6090	354	5	121:539–557	121:539–557	NUM
ejpam-6090	354	6	,	,	PUNCT
ejpam-6090	354	7	2025	2025	NUM
ejpam-6090	354	8	.	.	PUNCT
ejpam-6090	355	1	[	[	X
ejpam-6090	355	2	30	30	NUM
ejpam-6090	355	3	]	]	X
ejpam-6090	355	4	lakhlifa	lakhlifa	PROPN
ejpam-6090	355	5	sadek	sadek	PROPN
ejpam-6090	355	6	,	,	PUNCT
ejpam-6090	355	7	ahmad	ahmad	PROPN
ejpam-6090	355	8	sami	sami	PROPN
ejpam-6090	355	9	bataineh	bataineh	PROPN
ejpam-6090	355	10	,	,	PUNCT
ejpam-6090	355	11	osman	osman	PROPN
ejpam-6090	355	12	rasit	rasit	PROPN
ejpam-6090	355	13	isik	isik	PROPN
ejpam-6090	355	14	,	,	PUNCT
ejpam-6090	355	15	hamad	hamad	PROPN
ejpam-6090	355	16	talibi	talibi	PROPN
ejpam-6090	355	17	alaoui	alaoui	ADV
ejpam-6090	355	18	,	,	PUNCT
ejpam-6090	355	19	and	and	CCONJ
ejpam-6090	355	20	ishak	ishak	VERB
ejpam-6090	355	21	hashim	hashim	PROPN
ejpam-6090	355	22	.	.	PUNCT
ejpam-6090	356	1	a	a	DET
ejpam-6090	356	2	numerical	numerical	ADJ
ejpam-6090	356	3	approach	approach	NOUN
ejpam-6090	356	4	based	base	VERB
ejpam-6090	356	5	on	on	ADP
ejpam-6090	356	6	bernstein	bernstein	PROPN
ejpam-6090	356	7	collocation	collocation	PROPN
ejpam-6090	356	8	method	method	NOUN
ejpam-6090	356	9	:	:	PUNCT
ejpam-6090	356	10	application	application	NOUN
ejpam-6090	356	11	to	to	PART
ejpam-6090	356	12	differential	differential	VERB
ejpam-6090	356	13	lyapunov	lyapunov	NOUN
ejpam-6090	356	14	and	and	CCONJ
ejpam-6090	356	15	sylvester	sylvest	ADJ
ejpam-6090	356	16	matrix	matrix	NOUN
ejpam-6090	356	17	equations	equation	NOUN
ejpam-6090	356	18	.	.	PUNCT
ejpam-6090	357	1	mathematics	mathematic	NOUN
ejpam-6090	357	2	and	and	CCONJ
ejpam-6090	357	3	computers	computer	NOUN
ejpam-6090	357	4	in	in	ADP
ejpam-6090	357	5	simulation	simulation	NOUN
ejpam-6090	357	6	,	,	PUNCT
ejpam-6090	357	7	212:475–488	212:475–488	NUM
ejpam-6090	357	8	,	,	PUNCT
ejpam-6090	357	9	2023	2023	NUM
ejpam-6090	357	10	.	.	PUNCT
ejpam-6090	358	1	[	[	X
ejpam-6090	358	2	31	31	NUM
ejpam-6090	358	3	]	]	X
ejpam-6090	358	4	lakhlifa	lakhlifa	PROPN
ejpam-6090	358	5	sadek	sadek	PROPN
ejpam-6090	358	6	,	,	PUNCT
ejpam-6090	358	7	bouchra	bouchra	PROPN
ejpam-6090	358	8	abouzaid	abouzaid	PROPN
ejpam-6090	358	9	,	,	PUNCT
ejpam-6090	358	10	el	el	PROPN
ejpam-6090	358	11	mostafa	mostafa	PROPN
ejpam-6090	358	12	sadek	sadek	PROPN
ejpam-6090	358	13	,	,	PUNCT
ejpam-6090	358	14	and	and	CCONJ
ejpam-6090	358	15	hamad	hamad	PROPN
ejpam-6090	358	16	talibi	talibi	PROPN
ejpam-6090	358	17	alaoui	alaoui	PROPN
ejpam-6090	358	18	.	.	PUNCT
ejpam-6090	359	1	controllability	controllability	NOUN
ejpam-6090	359	2	,	,	PUNCT
ejpam-6090	359	3	observability	observability	NOUN
ejpam-6090	359	4	and	and	CCONJ
ejpam-6090	359	5	fractional	fractional	ADJ
ejpam-6090	359	6	linear	linear	ADJ
ejpam-6090	359	7	-	-	PUNCT
ejpam-6090	359	8	quadratic	quadratic	ADJ
ejpam-6090	359	9	problem	problem	NOUN
ejpam-6090	359	10	for	for	ADP
ejpam-6090	359	11	fractional	fractional	ADJ
ejpam-6090	359	12	linear	linear	NOUN
ejpam-6090	359	13	systems	system	NOUN
ejpam-6090	359	14	with	with	ADP
ejpam-6090	359	15	conformable	conformable	ADJ
ejpam-6090	359	16	fractional	fractional	ADJ
ejpam-6090	359	17	derivatives	derivative	NOUN
ejpam-6090	359	18	and	and	CCONJ
ejpam-6090	359	19	some	some	DET
ejpam-6090	359	20	applications	application	NOUN
ejpam-6090	359	21	.	.	PUNCT
ejpam-6090	360	1	international	international	ADJ
ejpam-6090	360	2	journal	journal	PROPN
ejpam-6090	360	3	of	of	ADP
ejpam-6090	360	4	dynamics	dynamic	NOUN
ejpam-6090	360	5	and	and	CCONJ
ejpam-6090	360	6	control	control	NOUN
ejpam-6090	360	7	,	,	PUNCT
ejpam-6090	360	8	11(1):214–228	11(1):214–228	PROPN
ejpam-6090	360	9	,	,	PUNCT
ejpam-6090	360	10	2023	2023	NUM
ejpam-6090	360	11	.	.	PUNCT
ejpam-6090	361	1	[	[	X
ejpam-6090	361	2	32	32	NUM
ejpam-6090	361	3	]	]	X
ejpam-6090	361	4	vipin	vipin	PROPN
ejpam-6090	361	5	kumar	kumar	PROPN
ejpam-6090	361	6	,	,	PUNCT
ejpam-6090	361	7	jan	jan	PROPN
ejpam-6090	361	8	heiland	heiland	PROPN
ejpam-6090	361	9	,	,	PUNCT
ejpam-6090	361	10	and	and	CCONJ
ejpam-6090	361	11	peter	peter	PROPN
ejpam-6090	361	12	benner	benner	PROPN
ejpam-6090	361	13	.	.	PUNCT
ejpam-6090	362	1	exponential	exponential	ADJ
ejpam-6090	362	2	lag	lag	NOUN
ejpam-6090	362	3	synchronization	synchronization	NOUN
ejpam-6090	362	4	of	of	ADP
ejpam-6090	362	5	cohen	cohen	PROPN
ejpam-6090	362	6	–	–	PUNCT
ejpam-6090	362	7	grossberg	grossberg	PROPN
ejpam-6090	362	8	neural	neural	ADJ
ejpam-6090	362	9	networks	network	NOUN
ejpam-6090	362	10	with	with	ADP
ejpam-6090	362	11	discrete	discrete	ADJ
ejpam-6090	362	12	and	and	CCONJ
ejpam-6090	362	13	distributed	distribute	VERB
ejpam-6090	362	14	delays	delay	NOUN
ejpam-6090	362	15	on	on	ADP
ejpam-6090	362	16	time	time	NOUN
ejpam-6090	362	17	scales	scale	NOUN
ejpam-6090	362	18	.	.	PUNCT
ejpam-6090	363	1	neural	neural	ADJ
ejpam-6090	363	2	processing	processing	NOUN
ejpam-6090	363	3	letters	letter	NOUN
ejpam-6090	363	4	,	,	PUNCT
ejpam-6090	363	5	55(7):9907–9929	55(7):9907–9929	NOUN
ejpam-6090	363	6	,	,	PUNCT
ejpam-6090	363	7	2023	2023	NUM
ejpam-6090	363	8	.	.	PUNCT
ejpam-6090	364	1	[	[	X
ejpam-6090	364	2	33	33	NUM
ejpam-6090	364	3	]	]	X
ejpam-6090	364	4	vipin	vipin	PROPN
ejpam-6090	364	5	kumar	kumar	PROPN
ejpam-6090	364	6	,	,	PUNCT
ejpam-6090	364	7	amar	amar	PROPN
ejpam-6090	364	8	debbouche	debbouche	PROPN
ejpam-6090	364	9	,	,	PUNCT
ejpam-6090	364	10	and	and	CCONJ
ejpam-6090	364	11	juan	juan	PROPN
ejpam-6090	364	12	j	j	PROPN
ejpam-6090	364	13	nieto	nieto	PROPN
ejpam-6090	364	14	.	.	PUNCT
ejpam-6090	365	1	existence	existence	NOUN
ejpam-6090	365	2	,	,	PUNCT
ejpam-6090	365	3	stability	stability	NOUN
ejpam-6090	365	4	and	and	CCONJ
ejpam-6090	365	5	controllability	controllability	NOUN
ejpam-6090	365	6	results	result	NOUN
ejpam-6090	365	7	for	for	ADP
ejpam-6090	365	8	a	a	DET
ejpam-6090	365	9	class	class	NOUN
ejpam-6090	365	10	of	of	ADP
ejpam-6090	365	11	switched	switch	VERB
ejpam-6090	365	12	evolution	evolution	NOUN
ejpam-6090	365	13	system	system	NOUN
ejpam-6090	365	14	with	with	ADP
ejpam-6090	365	15	impulses	impulse	NOUN
ejpam-6090	365	16	over	over	ADP
ejpam-6090	365	17	arbitrary	arbitrary	ADJ
ejpam-6090	365	18	time	time	NOUN
ejpam-6090	365	19	domain	domain	NOUN
ejpam-6090	365	20	.	.	PUNCT
ejpam-6090	366	1	computational	computational	ADJ
ejpam-6090	366	2	and	and	CCONJ
ejpam-6090	366	3	applied	applied	ADJ
ejpam-6090	366	4	mathematics	mathematic	NOUN
ejpam-6090	366	5	,	,	PUNCT
ejpam-6090	366	6	41(8):399	41(8):399	NOUN
ejpam-6090	366	7	,	,	PUNCT
ejpam-6090	366	8	2022	2022	NUM
ejpam-6090	366	9	.	.	PUNCT
ejpam-6090	367	1	[	[	X
ejpam-6090	367	2	34	34	NUM
ejpam-6090	367	3	]	]	X
ejpam-6090	367	4	vipin	vipin	PROPN
ejpam-6090	367	5	kumar	kumar	PROPN
ejpam-6090	367	6	and	and	CCONJ
ejpam-6090	367	7	muslim	muslim	PROPN
ejpam-6090	367	8	malik	malik	PROPN
ejpam-6090	367	9	.	.	PUNCT
ejpam-6090	368	1	existence	existence	NOUN
ejpam-6090	368	2	and	and	CCONJ
ejpam-6090	368	3	stability	stability	NOUN
ejpam-6090	368	4	results	result	NOUN
ejpam-6090	368	5	for	for	ADP
ejpam-6090	368	6	coupled	couple	VERB
ejpam-6090	368	7	fractional	fractional	ADJ
ejpam-6090	368	8	dynamic	dynamic	ADJ
ejpam-6090	368	9	system	system	NOUN
ejpam-6090	368	10	with	with	ADP
ejpam-6090	368	11	impulses	impulse	NOUN
ejpam-6090	368	12	over	over	ADP
ejpam-6090	368	13	non	non	ADJ
ejpam-6090	368	14	-	-	ADJ
ejpam-6090	368	15	uniform	uniform	ADJ
ejpam-6090	368	16	time	time	NOUN
ejpam-6090	368	17	domains	domain	NOUN
ejpam-6090	368	18	.	.	PUNCT
ejpam-6090	369	1	nonautonomous	nonautonomous	ADJ
ejpam-6090	369	2	dynamical	dynamical	ADJ
ejpam-6090	369	3	systems	system	NOUN
ejpam-6090	369	4	,	,	PUNCT
ejpam-6090	369	5	9(1):37–55	9(1):37–55	NUM
ejpam-6090	369	6	,	,	PUNCT
ejpam-6090	369	7	2022	2022	NUM
ejpam-6090	369	8	.	.	PUNCT
ejpam-6090	370	1	[	[	X
ejpam-6090	370	2	35	35	NUM
ejpam-6090	370	3	]	]	X
ejpam-6090	370	4	muslim	muslim	PROPN
ejpam-6090	370	5	malik	malik	PROPN
ejpam-6090	370	6	and	and	CCONJ
ejpam-6090	370	7	vipin	vipin	PROPN
ejpam-6090	370	8	kumar	kumar	PROPN
ejpam-6090	370	9	.	.	PUNCT
ejpam-6090	371	1	existence	existence	PROPN
ejpam-6090	371	2	,	,	PUNCT
ejpam-6090	371	3	stability	stability	NOUN
ejpam-6090	371	4	and	and	CCONJ
ejpam-6090	371	5	controllability	controllability	NOUN
ejpam-6090	371	6	results	result	NOUN
ejpam-6090	371	7	of	of	ADP
ejpam-6090	371	8	a	a	DET
ejpam-6090	371	9	volterra	volterra	NOUN
ejpam-6090	371	10	integro	integro	ADJ
ejpam-6090	371	11	-	-	PUNCT
ejpam-6090	371	12	dynamic	dynamic	ADJ
ejpam-6090	371	13	system	system	NOUN
ejpam-6090	371	14	with	with	ADP
ejpam-6090	371	15	non	non	ADJ
ejpam-6090	371	16	-	-	ADJ
ejpam-6090	371	17	instantaneous	instantaneous	ADJ
ejpam-6090	371	18	impulses	impulse	NOUN
ejpam-6090	371	19	on	on	ADP
ejpam-6090	371	20	time	time	NOUN
ejpam-6090	371	21	scales	scale	NOUN
ejpam-6090	371	22	.	.	PUNCT
ejpam-6090	372	1	i	i	PRON
ejpam-6090	372	2	m	m	VERB
ejpam-6090	372	3	a	a	DET
ejpam-6090	372	4	journal	journal	NOUN
ejpam-6090	372	5	of	of	ADP
ejpam-6090	372	6	mathematical	mathematical	ADJ
ejpam-6090	372	7	control	control	NOUN
ejpam-6090	372	8	and	and	CCONJ
ejpam-6090	372	9	information	information	NOUN
ejpam-6090	372	10	,	,	PUNCT
ejpam-6090	372	11	37(1):276–299	37(1):276–299	NOUN
ejpam-6090	372	12	,	,	PUNCT
ejpam-6090	372	13	2020	2020	NUM
ejpam-6090	372	14	.	.	PUNCT
ejpam-6090	373	1	[	[	X
ejpam-6090	373	2	36	36	NUM
ejpam-6090	373	3	]	]	X
ejpam-6090	373	4	vipin	vipin	PROPN
ejpam-6090	373	5	kumar	kumar	PROPN
ejpam-6090	373	6	and	and	CCONJ
ejpam-6090	373	7	mohamed	mohamed	PROPN
ejpam-6090	373	8	djemai	djemai	PROPN
ejpam-6090	373	9	.	.	PUNCT
ejpam-6090	374	1	existence	existence	NOUN
ejpam-6090	374	2	,	,	PUNCT
ejpam-6090	374	3	stability	stability	NOUN
ejpam-6090	374	4	and	and	CCONJ
ejpam-6090	374	5	controllability	controllability	NOUN
ejpam-6090	374	6	of	of	ADP
ejpam-6090	374	7	piecewise	piecewise	NOUN
ejpam-6090	374	8	impulsive	impulsive	ADJ
ejpam-6090	374	9	dynamic	dynamic	ADJ
ejpam-6090	374	10	systems	system	NOUN
ejpam-6090	374	11	on	on	ADP
ejpam-6090	374	12	arbitrary	arbitrary	ADJ
ejpam-6090	374	13	time	time	NOUN
ejpam-6090	374	14	domain	domain	NOUN
ejpam-6090	374	15	.	.	PUNCT
ejpam-6090	375	1	applied	apply	VERB
ejpam-6090	375	2	mathematical	mathematical	ADJ
ejpam-6090	375	3	modelling	modelling	NOUN
ejpam-6090	375	4	,	,	PUNCT
ejpam-6090	375	5	117:529–548	117:529–548	NUM
ejpam-6090	375	6	,	,	PUNCT
ejpam-6090	375	7	2023	2023	NUM
ejpam-6090	375	8	.	.	PUNCT
ejpam-6090	376	1	[	[	X
ejpam-6090	376	2	37	37	NUM
ejpam-6090	376	3	]	]	X
ejpam-6090	376	4	vipin	vipin	PROPN
ejpam-6090	376	5	kumar	kumar	PROPN
ejpam-6090	376	6	and	and	CCONJ
ejpam-6090	376	7	muslim	muslim	PROPN
ejpam-6090	376	8	malik	malik	PROPN
ejpam-6090	376	9	.	.	PUNCT
ejpam-6090	377	1	existence	existence	PROPN
ejpam-6090	377	2	and	and	CCONJ
ejpam-6090	377	3	ulam	ulam	PROPN
ejpam-6090	377	4	’s	’s	PART
ejpam-6090	377	5	type	type	NOUN
ejpam-6090	377	6	stability	stability	NOUN
ejpam-6090	377	7	of	of	ADP
ejpam-6090	377	8	integro	integro	PROPN
ejpam-6090	377	9	differential	differential	ADJ
ejpam-6090	377	10	equation	equation	NOUN
ejpam-6090	377	11	with	with	ADP
ejpam-6090	377	12	non	non	ADJ
ejpam-6090	377	13	-	-	ADJ
ejpam-6090	377	14	instantaneous	instantaneous	ADJ
ejpam-6090	377	15	impulses	impulse	NOUN
ejpam-6090	377	16	and	and	CCONJ
ejpam-6090	377	17	periodic	periodic	ADJ
ejpam-6090	377	18	boundary	boundary	ADJ
ejpam-6090	377	19	condition	condition	NOUN
ejpam-6090	377	20	on	on	ADP
ejpam-6090	377	21	time	time	NOUN
ejpam-6090	377	22	scales	scale	NOUN
ejpam-6090	377	23	.	.	PUNCT
ejpam-6090	378	1	in	in	ADP
ejpam-6090	378	2	mathematical	mathematical	ADJ
ejpam-6090	378	3	modelling	modelling	NOUN
ejpam-6090	378	4	,	,	PUNCT
ejpam-6090	378	5	applied	apply	VERB
ejpam-6090	378	6	analysis	analysis	NOUN
ejpam-6090	378	7	and	and	CCONJ
ejpam-6090	378	8	computation	computation	NOUN
ejpam-6090	378	9	:	:	PUNCT
ejpam-6090	378	10	icmmaac	icmmaac	NOUN
ejpam-6090	378	11	2018	2018	NUM
ejpam-6090	378	12	,	,	PUNCT
ejpam-6090	378	13	jaipur	jaipur	PROPN
ejpam-6090	378	14	,	,	PUNCT
ejpam-6090	378	15	india	india	PROPN
ejpam-6090	378	16	,	,	PUNCT
ejpam-6090	378	17	july	july	PROPN
ejpam-6090	378	18	6	6	NUM
ejpam-6090	378	19	-	-	SYM
ejpam-6090	378	20	8	8	NUM
ejpam-6090	378	21	,	,	PUNCT
ejpam-6090	378	22	pages	page	NOUN
ejpam-6090	378	23	85–102	85–102	NUM
ejpam-6090	378	24	.	.	PROPN
ejpam-6090	378	25	springer	springer	NOUN
ejpam-6090	378	26	,	,	PUNCT
ejpam-6090	378	27	2019	2019	NUM
ejpam-6090	378	28	.	.	PUNCT
ejpam-6090	379	1	[	[	X
ejpam-6090	379	2	38	38	NUM
ejpam-6090	379	3	]	]	PUNCT
ejpam-6090	379	4	vipin	vipin	PROPN
ejpam-6090	379	5	kumar	kumar	PROPN
ejpam-6090	379	6	and	and	CCONJ
ejpam-6090	379	7	muslim	muslim	PROPN
ejpam-6090	379	8	malik	malik	PROPN
ejpam-6090	379	9	.	.	PUNCT
ejpam-6090	380	1	existence	existence	NOUN
ejpam-6090	380	2	,	,	PUNCT
ejpam-6090	380	3	stability	stability	NOUN
ejpam-6090	380	4	and	and	CCONJ
ejpam-6090	380	5	controllability	controllability	NOUN
ejpam-6090	380	6	results	result	NOUN
ejpam-6090	380	7	of	of	ADP
ejpam-6090	380	8	fractional	fractional	ADJ
ejpam-6090	380	9	dynamic	dynamic	ADJ
ejpam-6090	380	10	system	system	NOUN
ejpam-6090	380	11	on	on	ADP
ejpam-6090	380	12	time	time	NOUN
ejpam-6090	380	13	scales	scale	NOUN
ejpam-6090	380	14	with	with	ADP
ejpam-6090	380	15	application	application	NOUN
ejpam-6090	380	16	to	to	ADP
ejpam-6090	380	17	population	population	NOUN
ejpam-6090	380	18	dynamics	dynamic	NOUN
ejpam-6090	380	19	.	.	PUNCT
ejpam-6090	381	1	international	international	ADJ
ejpam-6090	381	2	journal	journal	PROPN
ejpam-6090	381	3	of	of	ADP
ejpam-6090	381	4	nonlinear	nonlinear	PROPN
ejpam-6090	381	5	sciences	sciences	PROPN
ejpam-6090	381	6	and	and	CCONJ
ejpam-6090	381	7	numerical	numerical	PROPN
ejpam-6090	381	8	simulation	simulation	PROPN
ejpam-6090	381	9	,	,	PUNCT
ejpam-6090	381	10	22(6):741	22(6):741	PROPN
ejpam-6090	381	11	–	–	PUNCT
ejpam-6090	381	12	766	766	NUM
ejpam-6090	381	13	,	,	PUNCT
ejpam-6090	381	14	2021	2021	NUM
ejpam-6090	381	15	.	.	PUNCT
ejpam-6090	382	1	ch	ch	NOUN
ejpam-6090	382	2	.	.	PUNCT
ejpam-6090	382	3	harisha	harisha	PROPN
ejpam-6090	382	4	,	,	PUNCT
ejpam-6090	382	5	b.	b.	PROPN
ejpam-6090	382	6	v.	v.	ADP
ejpam-6090	382	7	appa	appa	PROPN
ejpam-6090	382	8	rao	rao	PROPN
ejpam-6090	382	9	,	,	PUNCT
ejpam-6090	382	10	a.	a.	PROPN
ejpam-6090	382	11	sreenivasulu	sreenivasulu	PROPN
ejpam-6090	382	12	/	/	SYM
ejpam-6090	382	13	eur	eur	PROPN
ejpam-6090	382	14	.	.	PUNCT
ejpam-6090	383	1	j.	j.	PROPN
ejpam-6090	383	2	pure	pure	PROPN
ejpam-6090	383	3	appl	appl	PROPN
ejpam-6090	383	4	.	.	PROPN
ejpam-6090	383	5	math	math	PROPN
ejpam-6090	383	6	,	,	PUNCT
ejpam-6090	383	7	18	18	NUM
ejpam-6090	383	8	(	(	PUNCT
ejpam-6090	383	9	2	2	NUM
ejpam-6090	383	10	)	)	PUNCT
ejpam-6090	383	11	(	(	PUNCT
ejpam-6090	383	12	2025	2025	NUM
ejpam-6090	383	13	)	)	PUNCT
ejpam-6090	383	14	,	,	PUNCT
ejpam-6090	383	15	6090	6090	NUM
ejpam-6090	383	16	13	13	NUM
ejpam-6090	383	17	of	of	ADP
ejpam-6090	383	18	13	13	NUM
ejpam-6090	384	1	[	[	SYM
ejpam-6090	384	2	39	39	NUM
ejpam-6090	384	3	]	]	PUNCT
ejpam-6090	384	4	le	le	X
ejpam-6090	384	5	huy	huy	PROPN
ejpam-6090	384	6	vu	vu	PROPN
ejpam-6090	384	7	.	.	PROPN
ejpam-6090	384	8	exponential	exponential	ADJ
ejpam-6090	384	9	stability	stability	NOUN
ejpam-6090	384	10	and	and	CCONJ
ejpam-6090	384	11	controller	controller	NOUN
ejpam-6090	384	12	design	design	NOUN
ejpam-6090	384	13	for	for	ADP
ejpam-6090	384	14	linear	linear	PROPN
ejpam-6090	384	15	systems	system	NOUN
ejpam-6090	384	16	with	with	ADP
ejpam-6090	384	17	mixed	mixed	ADJ
ejpam-6090	384	18	interval	interval	NOUN
ejpam-6090	384	19	time	time	NOUN
ejpam-6090	384	20	-	-	PUNCT
ejpam-6090	384	21	varying	vary	VERB
ejpam-6090	384	22	delays	delay	NOUN
ejpam-6090	384	23	.	.	PUNCT
ejpam-6090	385	1	international	international	ADJ
ejpam-6090	385	2	journal	journal	PROPN
ejpam-6090	385	3	of	of	ADP
ejpam-6090	385	4	dynamics	dynamic	NOUN
ejpam-6090	385	5	and	and	CCONJ
ejpam-6090	385	6	control	control	NOUN
ejpam-6090	385	7	,	,	PUNCT
ejpam-6090	385	8	13(1):1	13(1):1	PROPN
ejpam-6090	385	9	–	–	PUNCT
ejpam-6090	385	10	10	10	NUM
ejpam-6090	385	11	,	,	PUNCT
ejpam-6090	385	12	2025	2025	NUM
ejpam-6090	385	13	.	.	PUNCT
ejpam-6090	386	1	[	[	X
ejpam-6090	386	2	40	40	NUM
ejpam-6090	386	3	]	]	X
ejpam-6090	386	4	alexander	alexander	PROPN
ejpam-6090	386	5	graham	graham	PROPN
ejpam-6090	386	6	.	.	PUNCT
ejpam-6090	386	7	kronecker	kronecker	NOUN
ejpam-6090	386	8	products	product	NOUN
ejpam-6090	386	9	and	and	CCONJ
ejpam-6090	386	10	matrix	matrix	NOUN
ejpam-6090	386	11	calculus	calculus	NOUN
ejpam-6090	386	12	with	with	ADP
ejpam-6090	386	13	applications	application	NOUN
ejpam-6090	386	14	.	.	PUNCT
ejpam-6090	387	1	courier	courier	PROPN
ejpam-6090	387	2	dover	dover	PROPN
ejpam-6090	387	3	publications	publication	NOUN
ejpam-6090	387	4	,	,	PUNCT
ejpam-6090	387	5	2018	2018	NUM
ejpam-6090	387	6	.	.	PUNCT