id	sid	tid	token	lemma	pos
ejpam-6545	1	1	european	european	PROPN
ejpam-6545	1	2	journal	journal	PROPN
ejpam-6545	1	3	of	of	ADP
ejpam-6545	1	4	pure	pure	ADJ
ejpam-6545	1	5	and	and	CCONJ
ejpam-6545	1	6	applied	applied	ADJ
ejpam-6545	1	7	mathematics	mathematic	NOUN
ejpam-6545	1	8	2025	2025	NUM
ejpam-6545	1	9	,	,	PUNCT
ejpam-6545	1	10	vol	vol	NOUN
ejpam-6545	1	11	.	.	PROPN
ejpam-6545	1	12	18	18	NUM
ejpam-6545	1	13	,	,	PUNCT
ejpam-6545	1	14	issue	issue	NOUN
ejpam-6545	1	15	4	4	NUM
ejpam-6545	1	16	,	,	PUNCT
ejpam-6545	1	17	article	article	NOUN
ejpam-6545	1	18	number	number	NOUN
ejpam-6545	1	19	6545	6545	NUM
ejpam-6545	1	20	issn	issn	VERB
ejpam-6545	1	21	1307	1307	NUM
ejpam-6545	1	22	-	-	SYM
ejpam-6545	1	23	5543	5543	NUM
ejpam-6545	1	24	–	–	PUNCT
ejpam-6545	1	25	ejpam.com	ejpam.com	X
ejpam-6545	1	26	published	publish	VERB
ejpam-6545	1	27	by	by	ADP
ejpam-6545	1	28	new	new	PROPN
ejpam-6545	1	29	york	york	PROPN
ejpam-6545	1	30	business	business	PROPN
ejpam-6545	1	31	global	global	ADJ
ejpam-6545	1	32	investigation	investigation	NOUN
ejpam-6545	1	33	of	of	ADP
ejpam-6545	1	34	the	the	DET
ejpam-6545	1	35	asymptotic	asymptotic	ADJ
ejpam-6545	1	36	and	and	CCONJ
ejpam-6545	1	37	monotonic	monotonic	ADJ
ejpam-6545	1	38	properties	property	NOUN
ejpam-6545	1	39	of	of	ADP
ejpam-6545	1	40	solutions	solution	NOUN
ejpam-6545	1	41	of	of	ADP
ejpam-6545	1	42	functional	functional	ADJ
ejpam-6545	1	43	differential	differential	ADJ
ejpam-6545	1	44	equations	equation	NOUN
ejpam-6545	1	45	with	with	ADP
ejpam-6545	1	46	multiple	multiple	ADJ
ejpam-6545	1	47	delays	delay	NOUN
ejpam-6545	1	48	and	and	CCONJ
ejpam-6545	1	49	a	a	DET
ejpam-6545	1	50	damping	damp	VERB
ejpam-6545	1	51	term	term	NOUN
ejpam-6545	1	52	sarah	sarah	PROPN
ejpam-6545	1	53	aloraini1	aloraini1	PROPN
ejpam-6545	1	54	,	,	PUNCT
ejpam-6545	1	55	ahmed	ahmed	PROPN
ejpam-6545	1	56	s.	s.	PROPN
ejpam-6545	1	57	almohaimeed1,∗	almohaimeed1,∗	PROPN
ejpam-6545	1	58	,	,	PUNCT
ejpam-6545	1	59	osama	osama	PROPN
ejpam-6545	1	60	moaaz1	moaaz1	NOUN
ejpam-6545	1	61	1	1	NUM
ejpam-6545	1	62	department	department	NOUN
ejpam-6545	1	63	of	of	ADP
ejpam-6545	1	64	mathematics	mathematic	NOUN
ejpam-6545	1	65	,	,	PUNCT
ejpam-6545	1	66	college	college	NOUN
ejpam-6545	1	67	of	of	ADP
ejpam-6545	1	68	science	science	NOUN
ejpam-6545	1	69	,	,	PUNCT
ejpam-6545	1	70	qassim	qassim	PROPN
ejpam-6545	1	71	university	university	NOUN
ejpam-6545	1	72	,	,	PUNCT
ejpam-6545	1	73	p.	p.	PROPN
ejpam-6545	1	74	o.	o.	PROPN
ejpam-6545	1	75	box	box	PROPN
ejpam-6545	1	76	6644	6644	NUM
ejpam-6545	1	77	,	,	PUNCT
ejpam-6545	1	78	buraydah	buraydah	PROPN
ejpam-6545	1	79	,	,	PUNCT
ejpam-6545	1	80	51452	51452	NUM
ejpam-6545	1	81	saudi	saudi	PROPN
ejpam-6545	1	82	arabia	arabia	PROPN
ejpam-6545	1	83	abstract	abstract	NOUN
ejpam-6545	1	84	.	.	PUNCT
ejpam-6545	2	1	our	our	PRON
ejpam-6545	2	2	objective	objective	NOUN
ejpam-6545	2	3	in	in	ADP
ejpam-6545	2	4	this	this	DET
ejpam-6545	2	5	work	work	NOUN
ejpam-6545	2	6	is	be	AUX
ejpam-6545	2	7	to	to	PART
ejpam-6545	2	8	establish	establish	VERB
ejpam-6545	2	9	new	new	ADJ
ejpam-6545	2	10	asymptotic	asymptotic	ADJ
ejpam-6545	2	11	and	and	CCONJ
ejpam-6545	2	12	monotonic	monotonic	ADJ
ejpam-6545	2	13	properties	property	NOUN
ejpam-6545	2	14	of	of	ADP
ejpam-6545	2	15	second	second	ADJ
ejpam-6545	2	16	-	-	PUNCT
ejpam-6545	2	17	order	order	NOUN
ejpam-6545	2	18	differential	differential	ADJ
ejpam-6545	2	19	equations	equation	NOUN
ejpam-6545	2	20	involving	involve	VERB
ejpam-6545	2	21	multiple	multiple	ADJ
ejpam-6545	2	22	delay	delay	NOUN
ejpam-6545	2	23	terms	term	NOUN
ejpam-6545	2	24	and	and	CCONJ
ejpam-6545	2	25	a	a	DET
ejpam-6545	2	26	damping	damp	VERB
ejpam-6545	2	27	component	component	NOUN
ejpam-6545	2	28	.	.	PUNCT
ejpam-6545	3	1	these	these	DET
ejpam-6545	3	2	properties	property	NOUN
ejpam-6545	3	3	are	be	AUX
ejpam-6545	3	4	instrumental	instrumental	ADJ
ejpam-6545	3	5	in	in	ADP
ejpam-6545	3	6	advancing	advance	VERB
ejpam-6545	3	7	the	the	DET
ejpam-6545	3	8	understanding	understanding	NOUN
ejpam-6545	3	9	of	of	ADP
ejpam-6545	3	10	the	the	DET
ejpam-6545	3	11	qualitative	qualitative	ADJ
ejpam-6545	3	12	behavior	behavior	NOUN
ejpam-6545	3	13	of	of	ADP
ejpam-6545	3	14	their	their	PRON
ejpam-6545	3	15	solutions	solution	NOUN
ejpam-6545	3	16	.	.	PUNCT
ejpam-6545	4	1	this	this	DET
ejpam-6545	4	2	study	study	NOUN
ejpam-6545	4	3	employs	employ	VERB
ejpam-6545	4	4	a	a	DET
ejpam-6545	4	5	refined	refined	ADJ
ejpam-6545	4	6	comparison	comparison	NOUN
ejpam-6545	4	7	technique	technique	NOUN
ejpam-6545	4	8	utilizing	utilize	VERB
ejpam-6545	4	9	first	first	ADJ
ejpam-6545	4	10	-	-	PUNCT
ejpam-6545	4	11	order	order	NOUN
ejpam-6545	4	12	differential	differential	ADJ
ejpam-6545	4	13	equations	equation	NOUN
ejpam-6545	4	14	.	.	PUNCT
ejpam-6545	5	1	the	the	DET
ejpam-6545	5	2	resulting	result	VERB
ejpam-6545	5	3	criteria	criterion	NOUN
ejpam-6545	5	4	broaden	broaden	VERB
ejpam-6545	5	5	and	and	CCONJ
ejpam-6545	5	6	enhance	enhance	VERB
ejpam-6545	5	7	previously	previously	ADV
ejpam-6545	5	8	established	establish	VERB
ejpam-6545	5	9	findings	finding	NOUN
ejpam-6545	5	10	in	in	ADP
ejpam-6545	5	11	the	the	DET
ejpam-6545	5	12	literature	literature	NOUN
ejpam-6545	5	13	.	.	PUNCT
ejpam-6545	6	1	a	a	DET
ejpam-6545	6	2	natural	natural	ADJ
ejpam-6545	6	3	progression	progression	NOUN
ejpam-6545	6	4	and	and	CCONJ
ejpam-6545	6	5	forthcoming	forthcoming	ADJ
ejpam-6545	6	6	challenge	challenge	NOUN
ejpam-6545	6	7	of	of	ADP
ejpam-6545	6	8	this	this	DET
ejpam-6545	6	9	research	research	NOUN
ejpam-6545	6	10	is	be	AUX
ejpam-6545	6	11	examining	examine	VERB
ejpam-6545	6	12	the	the	DET
ejpam-6545	6	13	oscillatory	oscillatory	ADJ
ejpam-6545	6	14	behavior	behavior	NOUN
ejpam-6545	6	15	and	and	CCONJ
ejpam-6545	6	16	asymptotic	asymptotic	ADJ
ejpam-6545	6	17	characteristics	characteristic	NOUN
ejpam-6545	6	18	of	of	ADP
ejpam-6545	6	19	solutions	solution	NOUN
ejpam-6545	6	20	for	for	ADP
ejpam-6545	6	21	higher	high	ADJ
ejpam-6545	6	22	-	-	PUNCT
ejpam-6545	6	23	order	order	NOUN
ejpam-6545	6	24	neutral	neutral	ADJ
ejpam-6545	6	25	delay	delay	NOUN
ejpam-6545	6	26	differential	differential	ADJ
ejpam-6545	6	27	equations	equation	NOUN
ejpam-6545	6	28	,	,	PUNCT
ejpam-6545	6	29	where	where	SCONJ
ejpam-6545	6	30	the	the	DET
ejpam-6545	6	31	interplay	interplay	NOUN
ejpam-6545	6	32	between	between	ADP
ejpam-6545	6	33	delay	delay	NOUN
ejpam-6545	6	34	and	and	CCONJ
ejpam-6545	6	35	neutral	neutral	ADJ
ejpam-6545	6	36	components	component	NOUN
ejpam-6545	6	37	becomes	become	VERB
ejpam-6545	6	38	progressively	progressively	ADV
ejpam-6545	6	39	intricate	intricate	ADJ
ejpam-6545	6	40	.	.	PUNCT
ejpam-6545	7	1	2020	2020	NUM
ejpam-6545	7	2	mathematics	mathematic	NOUN
ejpam-6545	7	3	subject	subject	NOUN
ejpam-6545	7	4	classifications	classification	NOUN
ejpam-6545	7	5	:	:	PUNCT
ejpam-6545	7	6	34c10	34c10	NUM
ejpam-6545	7	7	,	,	PUNCT
ejpam-6545	7	8	34k11	34k11	NUM
ejpam-6545	7	9	key	key	ADJ
ejpam-6545	7	10	words	word	NOUN
ejpam-6545	7	11	and	and	CCONJ
ejpam-6545	7	12	phrases	phrase	NOUN
ejpam-6545	7	13	:	:	PUNCT
ejpam-6545	7	14	differential	differential	ADJ
ejpam-6545	7	15	equations	equation	NOUN
ejpam-6545	7	16	,	,	PUNCT
ejpam-6545	7	17	oscillatory	oscillatory	ADJ
ejpam-6545	7	18	characteristics	characteristic	NOUN
ejpam-6545	7	19	,	,	PUNCT
ejpam-6545	7	20	deviating	deviating	ADJ
ejpam-6545	7	21	argument	argument	NOUN
ejpam-6545	7	22	,	,	PUNCT
ejpam-6545	7	23	damping	damp	VERB
ejpam-6545	7	24	term	term	NOUN
ejpam-6545	7	25	1	1	NUM
ejpam-6545	7	26	.	.	PUNCT
ejpam-6545	8	1	introduction	introduction	NOUN
ejpam-6545	8	2	second	second	ADJ
ejpam-6545	8	3	-	-	PUNCT
ejpam-6545	8	4	order	order	NOUN
ejpam-6545	8	5	differential	differential	ADJ
ejpam-6545	8	6	equations	equation	NOUN
ejpam-6545	8	7	(	(	PUNCT
ejpam-6545	8	8	des	des	PROPN
ejpam-6545	8	9	)	)	PUNCT
ejpam-6545	8	10	are	be	AUX
ejpam-6545	8	11	used	use	VERB
ejpam-6545	8	12	in	in	ADP
ejpam-6545	8	13	engineering	engineering	NOUN
ejpam-6545	8	14	as	as	ADV
ejpam-6545	8	15	well	well	ADV
ejpam-6545	8	16	as	as	ADP
ejpam-6545	8	17	science	science	NOUN
ejpam-6545	8	18	to	to	PART
ejpam-6545	8	19	examine	examine	VERB
ejpam-6545	8	20	a	a	DET
ejpam-6545	8	21	variety	variety	NOUN
ejpam-6545	8	22	of	of	ADP
ejpam-6545	8	23	events	event	NOUN
ejpam-6545	8	24	.	.	PUNCT
ejpam-6545	9	1	particularly	particularly	ADV
ejpam-6545	9	2	,	,	PUNCT
ejpam-6545	9	3	second	second	ADJ
ejpam-6545	9	4	-	-	PUNCT
ejpam-6545	9	5	order	order	NOUN
ejpam-6545	9	6	nonlinear	nonlinear	ADJ
ejpam-6545	9	7	equations	equation	NOUN
ejpam-6545	9	8	play	play	VERB
ejpam-6545	9	9	a	a	DET
ejpam-6545	9	10	significant	significant	ADJ
ejpam-6545	9	11	role	role	NOUN
ejpam-6545	9	12	in	in	ADP
ejpam-6545	9	13	this	this	DET
ejpam-6545	9	14	field	field	NOUN
ejpam-6545	9	15	.	.	PUNCT
ejpam-6545	10	1	the	the	DET
ejpam-6545	10	2	nonlinear	nonlinear	ADJ
ejpam-6545	10	3	terms	term	NOUN
ejpam-6545	10	4	in	in	ADP
ejpam-6545	10	5	these	these	DET
ejpam-6545	10	6	equations	equation	NOUN
ejpam-6545	10	7	grow	grow	VERB
ejpam-6545	10	8	more	more	ADV
ejpam-6545	10	9	quickly	quickly	ADV
ejpam-6545	10	10	than	than	ADP
ejpam-6545	10	11	the	the	DET
ejpam-6545	10	12	linear	linear	ADJ
ejpam-6545	10	13	terms	term	NOUN
ejpam-6545	10	14	when	when	SCONJ
ejpam-6545	10	15	the	the	DET
ejpam-6545	10	16	dependent	dependent	ADJ
ejpam-6545	10	17	variable	variable	ADJ
ejpam-6545	10	18	rises	rise	NOUN
ejpam-6545	10	19	.	.	PUNCT
ejpam-6545	11	1	there	there	PRON
ejpam-6545	11	2	are	be	VERB
ejpam-6545	11	3	many	many	ADJ
ejpam-6545	11	4	applications	application	NOUN
ejpam-6545	11	5	for	for	ADP
ejpam-6545	11	6	these	these	DET
ejpam-6545	11	7	equations	equation	NOUN
ejpam-6545	11	8	,	,	PUNCT
ejpam-6545	11	9	such	such	ADJ
ejpam-6545	11	10	as	as	ADP
ejpam-6545	11	11	population	population	NOUN
ejpam-6545	11	12	dynamics	dynamic	NOUN
ejpam-6545	11	13	models	model	NOUN
ejpam-6545	11	14	,	,	PUNCT
ejpam-6545	11	15	nonlinear	nonlinear	ADJ
ejpam-6545	11	16	oscillatory	oscillatory	ADJ
ejpam-6545	11	17	systems	system	NOUN
ejpam-6545	11	18	,	,	PUNCT
ejpam-6545	11	19	and	and	CCONJ
ejpam-6545	11	20	mechanical	mechanical	ADJ
ejpam-6545	11	21	systems	system	NOUN
ejpam-6545	11	22	with	with	ADP
ejpam-6545	11	23	nonlinear	nonlinear	ADJ
ejpam-6545	11	24	damping	damp	VERB
ejpam-6545	11	25	[	[	X
ejpam-6545	11	26	1–4	1–4	NOUN
ejpam-6545	11	27	]	]	X
ejpam-6545	11	28	.	.	PUNCT
ejpam-6545	12	1	since	since	SCONJ
ejpam-6545	12	2	second	second	ADJ
ejpam-6545	12	3	-	-	PUNCT
ejpam-6545	12	4	order	order	NOUN
ejpam-6545	12	5	nonlinear	nonlinear	ADJ
ejpam-6545	12	6	differential	differential	ADJ
ejpam-6545	12	7	equations	equation	NOUN
ejpam-6545	12	8	display	display	VERB
ejpam-6545	12	9	a	a	DET
ejpam-6545	12	10	wide	wide	ADJ
ejpam-6545	12	11	range	range	NOUN
ejpam-6545	12	12	of	of	ADP
ejpam-6545	12	13	phenomena	phenomenon	NOUN
ejpam-6545	12	14	,	,	PUNCT
ejpam-6545	12	15	they	they	PRON
ejpam-6545	12	16	are	be	AUX
ejpam-6545	12	17	an	an	DET
ejpam-6545	12	18	interesting	interesting	ADJ
ejpam-6545	12	19	topic	topic	NOUN
ejpam-6545	12	20	for	for	ADP
ejpam-6545	12	21	applied	apply	VERB
ejpam-6545	12	22	mathematical	mathematical	ADJ
ejpam-6545	12	23	study	study	NOUN
ejpam-6545	12	24	(	(	PUNCT
ejpam-6545	12	25	see	see	VERB
ejpam-6545	12	26	[	[	X
ejpam-6545	12	27	5–8	5–8	NOUN
ejpam-6545	12	28	]	]	PUNCT
ejpam-6545	12	29	)	)	PUNCT
ejpam-6545	12	30	.	.	PUNCT
ejpam-6545	13	1	the	the	DET
ejpam-6545	13	2	neutral	neutral	ADJ
ejpam-6545	13	3	delay	delay	NOUN
ejpam-6545	13	4	differential	differential	NOUN
ejpam-6545	13	5	equation	equation	NOUN
ejpam-6545	13	6	(	(	PUNCT
ejpam-6545	13	7	ndde	ndde	PROPN
ejpam-6545	13	8	)	)	PUNCT
ejpam-6545	13	9	is	be	AUX
ejpam-6545	13	10	a	a	DET
ejpam-6545	13	11	type	type	NOUN
ejpam-6545	13	12	of	of	ADP
ejpam-6545	13	13	delay	delay	NOUN
ejpam-6545	13	14	differential	differential	ADJ
ejpam-6545	13	15	equation	equation	NOUN
ejpam-6545	13	16	(	(	PUNCT
ejpam-6545	13	17	dde	dde	PROPN
ejpam-6545	13	18	)	)	PUNCT
ejpam-6545	13	19	in	in	ADP
ejpam-6545	13	20	which	which	PRON
ejpam-6545	13	21	the	the	DET
ejpam-6545	13	22	highest	high	ADJ
ejpam-6545	13	23	-	-	PUNCT
ejpam-6545	13	24	order	order	NOUN
ejpam-6545	13	25	derivative	derivative	NOUN
ejpam-6545	13	26	of	of	ADP
ejpam-6545	13	27	the	the	DET
ejpam-6545	13	28	unknown	unknown	ADJ
ejpam-6545	13	29	function	function	NOUN
ejpam-6545	13	30	occurs	occur	VERB
ejpam-6545	13	31	both	both	PRON
ejpam-6545	13	32	in	in	ADP
ejpam-6545	13	33	∗corresponding	∗corresponde	VERB
ejpam-6545	13	34	author	author	NOUN
ejpam-6545	13	35	.	.	PUNCT
ejpam-6545	14	1	doi	doi	NOUN
ejpam-6545	14	2	:	:	PUNCT
ejpam-6545	14	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6545	https://doi.org/10.29020/nybg.ejpam.v18i4.6545	NOUN
ejpam-6545	14	4	email	email	NOUN
ejpam-6545	14	5	addresses	address	VERB
ejpam-6545	14	6	:	:	PUNCT
ejpam-6545	14	7	441212392@qu.edu.sa	441212392@qu.edu.sa	PROPN
ejpam-6545	14	8	(	(	PUNCT
ejpam-6545	14	9	s.	s.	PROPN
ejpam-6545	14	10	aloraini	aloraini	PROPN
ejpam-6545	14	11	)	)	PUNCT
ejpam-6545	14	12	,	,	PUNCT
ejpam-6545	14	13	ahs.almohaimeed@qu.edu.sa	ahs.almohaimeed@qu.edu.sa	PROPN
ejpam-6545	14	14	(	(	PUNCT
ejpam-6545	14	15	a.	a.	PROPN
ejpam-6545	14	16	s.	s.	PROPN
ejpam-6545	14	17	almohaimeed	almohaimeed	PROPN
ejpam-6545	14	18	)	)	PUNCT
ejpam-6545	14	19	,	,	PUNCT
ejpam-6545	14	20	o.refaei@qu.edu.sa	o.refaei@qu.edu.sa	PROPN
ejpam-6545	14	21	,	,	PUNCT
ejpam-6545	14	22	o_moaaz@mans.edu.eg	o_moaaz@mans.edu.eg	X
ejpam-6545	14	23	(	(	PUNCT
ejpam-6545	14	24	o.	o.	NOUN
ejpam-6545	14	25	moaaz	moaaz	PROPN
ejpam-6545	14	26	)	)	PUNCT
ejpam-6545	14	27	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6545	15	1	1	1	NUM
ejpam-6545	15	2	copyright	copyright	NOUN
ejpam-6545	15	3	:	:	PUNCT
ejpam-6545	15	4	©	©	PROPN
ejpam-6545	15	5	2025	2025	NUM
ejpam-6545	15	6	the	the	DET
ejpam-6545	15	7	author(s	author(s	NOUN
ejpam-6545	15	8	)	)	PUNCT
ejpam-6545	15	9	.	.	PUNCT
ejpam-6545	16	1	(	(	PUNCT
ejpam-6545	16	2	cc	cc	NOUN
ejpam-6545	16	3	by	by	ADP
ejpam-6545	16	4	-	-	PUNCT
ejpam-6545	16	5	nc	nc	PROPN
ejpam-6545	16	6	4.0	4.0	NUM
ejpam-6545	16	7	)	)	PUNCT
ejpam-6545	16	8	s.	s.	PROPN
ejpam-6545	16	9	aloraini	aloraini	PROPN
ejpam-6545	16	10	,	,	PUNCT
ejpam-6545	16	11	a.	a.	PROPN
ejpam-6545	16	12	s.	s.	PROPN
ejpam-6545	16	13	almohaimeed	almohaimee	VERB
ejpam-6545	16	14	,	,	PUNCT
ejpam-6545	16	15	o.	o.	PROPN
ejpam-6545	16	16	moaaz	moaaz	PROPN
ejpam-6545	16	17	/	/	SYM
ejpam-6545	16	18	eur	eur	PROPN
ejpam-6545	16	19	.	.	PUNCT
ejpam-6545	17	1	j.	j.	PROPN
ejpam-6545	17	2	pure	pure	PROPN
ejpam-6545	17	3	appl	appl	PROPN
ejpam-6545	17	4	.	.	PROPN
ejpam-6545	17	5	math	math	PROPN
ejpam-6545	17	6	,	,	PUNCT
ejpam-6545	17	7	18	18	NUM
ejpam-6545	17	8	(	(	PUNCT
ejpam-6545	17	9	4	4	NUM
ejpam-6545	17	10	)	)	PUNCT
ejpam-6545	17	11	(	(	PUNCT
ejpam-6545	17	12	2025	2025	NUM
ejpam-6545	17	13	)	)	PUNCT
ejpam-6545	17	14	,	,	PUNCT
ejpam-6545	17	15	6545	6545	NUM
ejpam-6545	17	16	2	2	NUM
ejpam-6545	17	17	of	of	ADP
ejpam-6545	17	18	15	15	NUM
ejpam-6545	17	19	delayed	delay	VERB
ejpam-6545	17	20	and	and	CCONJ
ejpam-6545	17	21	non	non	ADJ
ejpam-6545	17	22	-	-	ADJ
ejpam-6545	17	23	delayed	delay	VERB
ejpam-6545	17	24	forms	form	NOUN
ejpam-6545	17	25	.	.	PUNCT
ejpam-6545	18	1	this	this	DET
ejpam-6545	18	2	class	class	NOUN
ejpam-6545	18	3	of	of	ADP
ejpam-6545	18	4	equations	equation	NOUN
ejpam-6545	18	5	commonly	commonly	ADV
ejpam-6545	18	6	appears	appear	VERB
ejpam-6545	18	7	in	in	ADP
ejpam-6545	18	8	the	the	DET
ejpam-6545	18	9	dynamic	dynamic	ADJ
ejpam-6545	18	10	modeling	modeling	NOUN
ejpam-6545	18	11	of	of	ADP
ejpam-6545	18	12	various	various	ADJ
ejpam-6545	18	13	real	real	ADJ
ejpam-6545	18	14	-	-	PUNCT
ejpam-6545	18	15	world	world	NOUN
ejpam-6545	18	16	systems	system	NOUN
ejpam-6545	18	17	,	,	PUNCT
ejpam-6545	18	18	including	include	VERB
ejpam-6545	18	19	pharmacokinetics	pharmacokinetic	NOUN
ejpam-6545	18	20	,	,	PUNCT
ejpam-6545	18	21	frequency	frequency	NOUN
ejpam-6545	18	22	-	-	PUNCT
ejpam-6545	18	23	modulated	modulate	VERB
ejpam-6545	18	24	processes	process	NOUN
ejpam-6545	18	25	,	,	PUNCT
ejpam-6545	18	26	bursting	burst	VERB
ejpam-6545	18	27	rhythm	rhythm	NOUN
ejpam-6545	18	28	phenomena	phenomenon	NOUN
ejpam-6545	18	29	in	in	ADP
ejpam-6545	18	30	biological	biological	ADJ
ejpam-6545	18	31	and	and	CCONJ
ejpam-6545	18	32	medical	medical	ADJ
ejpam-6545	18	33	sciences	science	NOUN
ejpam-6545	18	34	,	,	PUNCT
ejpam-6545	18	35	and	and	CCONJ
ejpam-6545	18	36	optimal	optimal	ADJ
ejpam-6545	18	37	control	control	NOUN
ejpam-6545	18	38	models	model	NOUN
ejpam-6545	18	39	within	within	ADP
ejpam-6545	18	40	economic	economic	ADJ
ejpam-6545	18	41	theory	theory	NOUN
ejpam-6545	18	42	[	[	X
ejpam-6545	18	43	9	9	NUM
ejpam-6545	18	44	,	,	PUNCT
ejpam-6545	18	45	10	10	NUM
ejpam-6545	18	46	]	]	PUNCT
ejpam-6545	18	47	.	.	PUNCT
ejpam-6545	19	1	in	in	ADP
ejpam-6545	19	2	particular	particular	ADJ
ejpam-6545	19	3	,	,	PUNCT
ejpam-6545	19	4	second	second	ADJ
ejpam-6545	19	5	-	-	PUNCT
ejpam-6545	19	6	order	order	NOUN
ejpam-6545	19	7	ndde	ndde	NOUN
ejpam-6545	19	8	hold	hold	VERB
ejpam-6545	19	9	significant	significant	ADJ
ejpam-6545	19	10	interest	interest	NOUN
ejpam-6545	19	11	in	in	ADP
ejpam-6545	19	12	fields	field	NOUN
ejpam-6545	19	13	such	such	ADJ
ejpam-6545	19	14	as	as	ADP
ejpam-6545	19	15	robotics	robotic	NOUN
ejpam-6545	19	16	,	,	PUNCT
ejpam-6545	19	17	where	where	SCONJ
ejpam-6545	19	18	they	they	PRON
ejpam-6545	19	19	are	be	AUX
ejpam-6545	19	20	employed	employ	VERB
ejpam-6545	19	21	in	in	ADP
ejpam-6545	19	22	the	the	DET
ejpam-6545	19	23	development	development	NOUN
ejpam-6545	19	24	of	of	ADP
ejpam-6545	19	25	bipedal	bipedal	ADJ
ejpam-6545	19	26	locomotion	locomotion	NOUN
ejpam-6545	19	27	systems	system	NOUN
ejpam-6545	19	28	,	,	PUNCT
ejpam-6545	19	29	and	and	CCONJ
ejpam-6545	19	30	in	in	ADP
ejpam-6545	19	31	biology	biology	NOUN
ejpam-6545	19	32	,	,	PUNCT
ejpam-6545	19	33	where	where	SCONJ
ejpam-6545	19	34	they	they	PRON
ejpam-6545	19	35	contribute	contribute	VERB
ejpam-6545	19	36	to	to	ADP
ejpam-6545	19	37	understanding	understand	VERB
ejpam-6545	19	38	the	the	DET
ejpam-6545	19	39	mechanisms	mechanism	NOUN
ejpam-6545	19	40	underlying	underlie	VERB
ejpam-6545	19	41	human	human	ADJ
ejpam-6545	19	42	postural	postural	ADJ
ejpam-6545	19	43	balance	balance	NOUN
ejpam-6545	19	44	[	[	X
ejpam-6545	19	45	11	11	NUM
ejpam-6545	19	46	,	,	PUNCT
ejpam-6545	19	47	12	12	NUM
ejpam-6545	19	48	]	]	PUNCT
ejpam-6545	19	49	.	.	PUNCT
ejpam-6545	20	1	within	within	ADP
ejpam-6545	20	2	the	the	DET
ejpam-6545	20	3	present	present	ADJ
ejpam-6545	20	4	study	study	NOUN
ejpam-6545	20	5	,	,	PUNCT
ejpam-6545	20	6	we	we	PRON
ejpam-6545	20	7	analyze	analyze	VERB
ejpam-6545	20	8	the	the	DET
ejpam-6545	20	9	oscillatory	oscillatory	ADJ
ejpam-6545	20	10	characteristics	characteristic	NOUN
ejpam-6545	20	11	of	of	ADP
ejpam-6545	20	12	solutions	solution	NOUN
ejpam-6545	20	13	resulting	result	VERB
ejpam-6545	20	14	from	from	ADP
ejpam-6545	20	15	the	the	DET
ejpam-6545	20	16	following	follow	VERB
ejpam-6545	20	17	second	second	ADJ
ejpam-6545	20	18	-	-	PUNCT
ejpam-6545	20	19	order	order	NOUN
ejpam-6545	20	20	nddes	ndde	NOUN
ejpam-6545	20	21	with	with	ADP
ejpam-6545	20	22	multiple	multiple	ADJ
ejpam-6545	20	23	delays	delay	NOUN
ejpam-6545	20	24	and	and	CCONJ
ejpam-6545	20	25	a	a	DET
ejpam-6545	20	26	damping	damp	VERB
ejpam-6545	20	27	term	term	NOUN
ejpam-6545	20	28	:	:	PUNCT
ejpam-6545	20	29	(	(	PUNCT
ejpam-6545	20	30	r	r	NOUN
ejpam-6545	20	31	(	(	PUNCT
ejpam-6545	20	32	s	s	NOUN
ejpam-6545	20	33	)	)	PUNCT
ejpam-6545	20	34	(	(	PUNCT
ejpam-6545	20	35	z′	z′	NUM
ejpam-6545	20	36	(	(	PUNCT
ejpam-6545	20	37	s	s	NOUN
ejpam-6545	20	38	)	)	PUNCT
ejpam-6545	20	39	)	)	PUNCT
ejpam-6545	21	1	κ)′	κ)′	PROPN
ejpam-6545	22	1	+	+	NUM
ejpam-6545	22	2	h	h	PROPN
ejpam-6545	22	3	(	(	PUNCT
ejpam-6545	22	4	s	s	NOUN
ejpam-6545	22	5	)	)	PUNCT
ejpam-6545	22	6	(	(	PUNCT
ejpam-6545	22	7	z′	z′	NUM
ejpam-6545	22	8	(	(	PUNCT
ejpam-6545	22	9	s	s	NOUN
ejpam-6545	22	10	)	)	PUNCT
ejpam-6545	22	11	)	)	PUNCT
ejpam-6545	22	12	κ	κ	PROPN
ejpam-6545	23	1	+	+	NUM
ejpam-6545	23	2	n∑	n∑	ADJ
ejpam-6545	23	3	i=1	i=1	ADP
ejpam-6545	23	4	qi	qi	PROPN
ejpam-6545	23	5	(	(	PUNCT
ejpam-6545	23	6	s)x	s)x	NOUN
ejpam-6545	23	7	κ	κ	NOUN
ejpam-6545	23	8	(	(	PUNCT
ejpam-6545	23	9	ηi	ηi	X
ejpam-6545	23	10	(	(	PUNCT
ejpam-6545	23	11	s	s	NOUN
ejpam-6545	23	12	)	)	PUNCT
ejpam-6545	23	13	)	)	PUNCT
ejpam-6545	24	1	=	=	SYM
ejpam-6545	24	2	0	0	NUM
ejpam-6545	24	3	,	,	PUNCT
ejpam-6545	24	4	s	s	PART
ejpam-6545	24	5	≥	≥	NOUN
ejpam-6545	24	6	s0	s0	NOUN
ejpam-6545	24	7	,	,	PUNCT
ejpam-6545	24	8	(	(	PUNCT
ejpam-6545	24	9	1	1	X
ejpam-6545	24	10	)	)	PUNCT
ejpam-6545	24	11	in	in	ADP
ejpam-6545	24	12	which	which	PRON
ejpam-6545	24	13	z	z	X
ejpam-6545	24	14	(	(	PUNCT
ejpam-6545	24	15	s	s	NOUN
ejpam-6545	24	16	)	)	PUNCT
ejpam-6545	24	17	:	:	PUNCT
ejpam-6545	25	1	=	=	SYM
ejpam-6545	25	2	x	x	X
ejpam-6545	25	3	(	(	PUNCT
ejpam-6545	25	4	s	s	X
ejpam-6545	25	5	)	)	PUNCT
ejpam-6545	25	6	+	+	X
ejpam-6545	25	7	p	p	NOUN
ejpam-6545	25	8	(	(	PUNCT
ejpam-6545	25	9	s)x	s)x	X
ejpam-6545	25	10	(	(	PUNCT
ejpam-6545	25	11	τ	τ	X
ejpam-6545	25	12	(	(	PUNCT
ejpam-6545	25	13	s	s	NOUN
ejpam-6545	25	14	)	)	PUNCT
ejpam-6545	25	15	)	)	PUNCT
ejpam-6545	25	16	.	.	PUNCT
ejpam-6545	26	1	our	our	PRON
ejpam-6545	26	2	investigation	investigation	NOUN
ejpam-6545	26	3	proceeds	proceed	VERB
ejpam-6545	26	4	under	under	ADP
ejpam-6545	26	5	the	the	DET
ejpam-6545	26	6	following	following	ADJ
ejpam-6545	26	7	hypotheses	hypothesis	NOUN
ejpam-6545	26	8	:	:	PUNCT
ejpam-6545	26	9	(	(	PUNCT
ejpam-6545	26	10	h1	h1	PROPN
ejpam-6545	26	11	)	)	PUNCT
ejpam-6545	26	12	κ	κ	PROPN
ejpam-6545	26	13	≥	≥	NOUN
ejpam-6545	26	14	1	1	NUM
ejpam-6545	26	15	is	be	AUX
ejpam-6545	26	16	a	a	DET
ejpam-6545	26	17	fraction	fraction	NOUN
ejpam-6545	26	18	formed	form	VERB
ejpam-6545	26	19	by	by	ADP
ejpam-6545	26	20	dividing	divide	VERB
ejpam-6545	26	21	odd	odd	ADJ
ejpam-6545	26	22	positive	positive	ADJ
ejpam-6545	26	23	integers	integer	NOUN
ejpam-6545	26	24	,	,	PUNCT
ejpam-6545	26	25	and	and	CCONJ
ejpam-6545	26	26	n	n	PRON
ejpam-6545	26	27	∈	∈	PROPN
ejpam-6545	26	28	z+	z+	NUM
ejpam-6545	26	29	;	;	PUNCT
ejpam-6545	26	30	(	(	PUNCT
ejpam-6545	26	31	h2	h2	NOUN
ejpam-6545	26	32	)	)	PUNCT
ejpam-6545	26	33	r	r	NOUN
ejpam-6545	26	34	∈	∈	PROPN
ejpam-6545	26	35	c1	c1	NOUN
ejpam-6545	26	36	(	(	PUNCT
ejpam-6545	26	37	[	[	X
ejpam-6545	26	38	s0,∞),r+	s0,∞),r+	PROPN
ejpam-6545	26	39	)	)	PUNCT
ejpam-6545	26	40	,	,	PUNCT
ejpam-6545	26	41	and∫	and∫	PROPN
ejpam-6545	26	42	∞	∞	PROPN
ejpam-6545	26	43	s0	s0	PROPN
ejpam-6545	26	44	1	1	NUM
ejpam-6545	26	45	r1	r1	PROPN
ejpam-6545	26	46	/	/	SYM
ejpam-6545	26	47	κ	κ	PROPN
ejpam-6545	26	48	(	(	PUNCT
ejpam-6545	26	49	u	u	NOUN
ejpam-6545	26	50	)	)	PUNCT
ejpam-6545	26	51	exp	exp	NOUN
ejpam-6545	26	52	(	(	PUNCT
ejpam-6545	26	53	−1	−1	NOUN
ejpam-6545	26	54	κ	κ	PROPN
ejpam-6545	26	55	∫	∫	PROPN
ejpam-6545	26	56	u	u	PROPN
ejpam-6545	26	57	h	h	PROPN
ejpam-6545	26	58	(	(	PUNCT
ejpam-6545	26	59	ρ	ρ	NOUN
ejpam-6545	26	60	)	)	PUNCT
ejpam-6545	26	61	r	r	NOUN
ejpam-6545	26	62	(	(	PUNCT
ejpam-6545	26	63	ρ	ρ	NOUN
ejpam-6545	26	64	)	)	PUNCT
ejpam-6545	26	65	dρ	dρ	NOUN
ejpam-6545	26	66	)	)	PUNCT
ejpam-6545	26	67	du	du	PROPN
ejpam-6545	26	68	=	=	SYM
ejpam-6545	26	69	∞	∞	PROPN
ejpam-6545	26	70	;	;	PUNCT
ejpam-6545	26	71	(	(	PUNCT
ejpam-6545	26	72	2	2	X
ejpam-6545	26	73	)	)	PUNCT
ejpam-6545	26	74	(	(	PUNCT
ejpam-6545	26	75	h3	h3	NOUN
ejpam-6545	26	76	)	)	PUNCT
ejpam-6545	26	77	p	p	X
ejpam-6545	26	78	,	,	PUNCT
ejpam-6545	26	79	h	h	NOUN
ejpam-6545	26	80	,	,	PUNCT
ejpam-6545	26	81	qi	qi	PROPN
ejpam-6545	26	82	∈	∈	PROPN
ejpam-6545	26	83	c	c	X
ejpam-6545	26	84	(	(	PUNCT
ejpam-6545	26	85	[	[	X
ejpam-6545	26	86	s0,∞	s0,∞	NOUN
ejpam-6545	26	87	)	)	PUNCT
ejpam-6545	26	88	,	,	PUNCT
ejpam-6545	27	1	[	[	X
ejpam-6545	27	2	0,∞	0,∞	NOUN
ejpam-6545	27	3	)	)	PUNCT
ejpam-6545	27	4	)	)	PUNCT
ejpam-6545	27	5	,	,	PUNCT
ejpam-6545	27	6	for	for	ADP
ejpam-6545	27	7	i	i	PROPN
ejpam-6545	27	8	=	=	SYM
ejpam-6545	27	9	1	1	NUM
ejpam-6545	27	10	,	,	PUNCT
ejpam-6545	27	11	2	2	NUM
ejpam-6545	27	12	,	,	PUNCT
ejpam-6545	27	13	...	...	PUNCT
ejpam-6545	27	14	,	,	PUNCT
ejpam-6545	27	15	n	n	CCONJ
ejpam-6545	27	16	,	,	PUNCT
ejpam-6545	27	17	0	0	NUM
ejpam-6545	27	18	≤	≤	NUM
ejpam-6545	27	19	p(s	p(s	NOUN
ejpam-6545	27	20	)	)	PUNCT
ejpam-6545	28	1	≤	≤	NOUN
ejpam-6545	28	2	p0	p0	NOUN
ejpam-6545	28	3	<	<	X
ejpam-6545	28	4	1	1	NUM
ejpam-6545	28	5	,	,	PUNCT
ejpam-6545	28	6	where	where	SCONJ
ejpam-6545	28	7	p0	p0	NOUN
ejpam-6545	28	8	is	be	AUX
ejpam-6545	28	9	a	a	DET
ejpam-6545	28	10	constant	constant	ADJ
ejpam-6545	28	11	,	,	PUNCT
ejpam-6545	28	12	and	and	CCONJ
ejpam-6545	28	13	qi	qi	PROPN
ejpam-6545	28	14	does	do	AUX
ejpam-6545	28	15	not	not	PART
ejpam-6545	28	16	vanish	vanish	VERB
ejpam-6545	28	17	identically	identically	ADV
ejpam-6545	28	18	on	on	ADP
ejpam-6545	28	19	any	any	DET
ejpam-6545	28	20	half	half	ADJ
ejpam-6545	28	21	-	-	PUNCT
ejpam-6545	28	22	line	line	NOUN
ejpam-6545	28	23	of	of	ADP
ejpam-6545	28	24	the	the	DET
ejpam-6545	28	25	form	form	NOUN
ejpam-6545	28	26	[	[	X
ejpam-6545	28	27	t∗,∞	t∗,∞	PROPN
ejpam-6545	28	28	)	)	PUNCT
ejpam-6545	28	29	,	,	PUNCT
ejpam-6545	28	30	t∗	t∗	PROPN
ejpam-6545	28	31	≥	≥	PROPN
ejpam-6545	28	32	t0	t0	PROPN
ejpam-6545	28	33	;	;	PUNCT
ejpam-6545	28	34	(	(	PUNCT
ejpam-6545	28	35	h4	h4	PROPN
ejpam-6545	28	36	)	)	PUNCT
ejpam-6545	28	37	τ	τ	PROPN
ejpam-6545	28	38	,	,	PUNCT
ejpam-6545	28	39	ηi	ηi	PROPN
ejpam-6545	28	40	∈	∈	PROPN
ejpam-6545	28	41	c([s0,∞),r	c([s0,∞),r	NOUN
ejpam-6545	28	42	)	)	PUNCT
ejpam-6545	28	43	,	,	PUNCT
ejpam-6545	28	44	τ(s	τ(s	NOUN
ejpam-6545	28	45	)	)	PUNCT
ejpam-6545	28	46	≤	≤	PROPN
ejpam-6545	29	1	s	s	NOUN
ejpam-6545	29	2	,	,	PUNCT
ejpam-6545	29	3	ηi(s	ηi(s	PUNCT
ejpam-6545	29	4	)	)	PUNCT
ejpam-6545	30	1	<	<	X
ejpam-6545	30	2	s	s	X
ejpam-6545	30	3	,	,	PUNCT
ejpam-6545	30	4	lims→∞	lims→∞	PROPN
ejpam-6545	30	5	τ	τ	X
ejpam-6545	30	6	(	(	PUNCT
ejpam-6545	30	7	s	s	NOUN
ejpam-6545	30	8	)	)	PUNCT
ejpam-6545	30	9	=	=	SYM
ejpam-6545	30	10	∞	∞	PROPN
ejpam-6545	30	11	,	,	PUNCT
ejpam-6545	30	12	and	and	CCONJ
ejpam-6545	30	13	lims→∞	lims→∞	PROPN
ejpam-6545	30	14	ηi	ηi	X
ejpam-6545	30	15	(	(	PUNCT
ejpam-6545	30	16	s	s	NOUN
ejpam-6545	30	17	)	)	PUNCT
ejpam-6545	30	18	=	=	SYM
ejpam-6545	30	19	∞	∞	PROPN
ejpam-6545	30	20	,	,	PUNCT
ejpam-6545	30	21	for	for	ADP
ejpam-6545	30	22	i	i	PROPN
ejpam-6545	30	23	=	=	SYM
ejpam-6545	30	24	1	1	NUM
ejpam-6545	30	25	,	,	PUNCT
ejpam-6545	30	26	2	2	NUM
ejpam-6545	30	27	,	,	PUNCT
ejpam-6545	30	28	...	...	PUNCT
ejpam-6545	30	29	,	,	PUNCT
ejpam-6545	30	30	n.	n.	PROPN
ejpam-6545	30	31	based	base	VERB
ejpam-6545	30	32	on	on	ADP
ejpam-6545	30	33	a	a	DET
ejpam-6545	30	34	solution	solution	NOUN
ejpam-6545	30	35	to	to	ADP
ejpam-6545	30	36	(	(	PUNCT
ejpam-6545	30	37	1	1	NUM
ejpam-6545	30	38	)	)	PUNCT
ejpam-6545	30	39	,	,	PUNCT
ejpam-6545	30	40	we	we	PRON
ejpam-6545	30	41	consider	consider	VERB
ejpam-6545	30	42	a	a	DET
ejpam-6545	30	43	real	real	ADV
ejpam-6545	30	44	-	-	PUNCT
ejpam-6545	30	45	valued	value	VERB
ejpam-6545	30	46	function	function	NOUN
ejpam-6545	30	47	x	x	X
ejpam-6545	30	48	∈	∈	PROPN
ejpam-6545	30	49	c	c	X
ejpam-6545	30	50	(	(	PUNCT
ejpam-6545	30	51	[	[	X
ejpam-6545	30	52	s∗,∞	s∗,∞	PROPN
ejpam-6545	30	53	)	)	PUNCT
ejpam-6545	30	54	,	,	PUNCT
ejpam-6545	30	55	r	r	NOUN
ejpam-6545	30	56	)	)	PUNCT
ejpam-6545	30	57	,	,	PUNCT
ejpam-6545	30	58	s∗	s∗	PROPN
ejpam-6545	30	59	≥	≥	PROPN
ejpam-6545	30	60	s0	s0	PROPN
ejpam-6545	30	61	,	,	PUNCT
ejpam-6545	30	62	where	where	SCONJ
ejpam-6545	30	63	z	z	NOUN
ejpam-6545	30	64	,	,	PUNCT
ejpam-6545	30	65	r	r	NOUN
ejpam-6545	30	66	(	(	PUNCT
ejpam-6545	30	67	z′)κ	z′)κ	PROPN
ejpam-6545	30	68	∈	∈	PROPN
ejpam-6545	30	69	c1	c1	NOUN
ejpam-6545	30	70	(	(	PUNCT
ejpam-6545	30	71	[	[	X
ejpam-6545	30	72	s∗,∞	s∗,∞	PROPN
ejpam-6545	30	73	)	)	PUNCT
ejpam-6545	30	74	,	,	PUNCT
ejpam-6545	30	75	r	r	NOUN
ejpam-6545	30	76	)	)	PUNCT
ejpam-6545	30	77	,	,	PUNCT
ejpam-6545	30	78	and	and	CCONJ
ejpam-6545	30	79	x	x	X
ejpam-6545	30	80	fulfills	fulfill	NOUN
ejpam-6545	30	81	(	(	PUNCT
ejpam-6545	30	82	1	1	NUM
ejpam-6545	30	83	)	)	PUNCT
ejpam-6545	30	84	on	on	ADP
ejpam-6545	30	85	[	[	X
ejpam-6545	30	86	s∗,∞	s∗,∞	PROPN
ejpam-6545	30	87	)	)	PUNCT
ejpam-6545	30	88	.	.	PUNCT
ejpam-6545	31	1	our	our	PRON
ejpam-6545	31	2	focus	focus	NOUN
ejpam-6545	31	3	is	be	AUX
ejpam-6545	31	4	confined	confine	VERB
ejpam-6545	31	5	to	to	ADP
ejpam-6545	31	6	solutions	solution	NOUN
ejpam-6545	31	7	x	x	SYM
ejpam-6545	31	8	to	to	ADP
ejpam-6545	31	9	(	(	PUNCT
ejpam-6545	31	10	1	1	X
ejpam-6545	31	11	)	)	PUNCT
ejpam-6545	31	12	that	that	PRON
ejpam-6545	31	13	meet	meet	VERB
ejpam-6545	31	14	sup	sup	PROPN
ejpam-6545	31	15	{	{	PUNCT
ejpam-6545	31	16	|x	|x	X
ejpam-6545	31	17	(	(	PUNCT
ejpam-6545	31	18	s)|	s)|	NOUN
ejpam-6545	31	19	:	:	PUNCT
ejpam-6545	31	20	s	s	NOUN
ejpam-6545	31	21	≥	≥	NOUN
ejpam-6545	31	22	s1	s1	NOUN
ejpam-6545	31	23	}	}	PUNCT
ejpam-6545	31	24	>	>	X
ejpam-6545	31	25	0	0	NUM
ejpam-6545	31	26	for	for	ADP
ejpam-6545	31	27	all	all	DET
ejpam-6545	31	28	s1	s1	PROPN
ejpam-6545	31	29	≥	≥	PRON
ejpam-6545	31	30	s∗.	s∗.	ADJ
ejpam-6545	31	31	a	a	DET
ejpam-6545	31	32	solution	solution	NOUN
ejpam-6545	31	33	x	x	PUNCT
ejpam-6545	31	34	to	to	ADP
ejpam-6545	31	35	(	(	PUNCT
ejpam-6545	31	36	1	1	X
ejpam-6545	31	37	)	)	PUNCT
ejpam-6545	31	38	is	be	AUX
ejpam-6545	31	39	called	call	VERB
ejpam-6545	31	40	oscillatory	oscillatory	ADJ
ejpam-6545	31	41	if	if	SCONJ
ejpam-6545	31	42	it	it	PRON
ejpam-6545	31	43	possesses	possess	VERB
ejpam-6545	31	44	zeros	zero	NOUN
ejpam-6545	31	45	that	that	PRON
ejpam-6545	31	46	are	be	AUX
ejpam-6545	31	47	arbitrarily	arbitrarily	ADV
ejpam-6545	31	48	large	large	ADJ
ejpam-6545	31	49	;	;	PUNCT
ejpam-6545	31	50	otherwise	otherwise	ADV
ejpam-6545	31	51	,	,	PUNCT
ejpam-6545	31	52	it	it	PRON
ejpam-6545	31	53	is	be	AUX
ejpam-6545	31	54	referred	refer	VERB
ejpam-6545	31	55	to	to	ADP
ejpam-6545	31	56	as	as	ADP
ejpam-6545	31	57	nonoscillatory	nonoscillatory	NOUN
ejpam-6545	31	58	.	.	PUNCT
ejpam-6545	32	1	condition	condition	NOUN
ejpam-6545	32	2	(	(	PUNCT
ejpam-6545	32	3	2	2	X
ejpam-6545	32	4	)	)	PUNCT
ejpam-6545	32	5	is	be	AUX
ejpam-6545	32	6	called	call	VERB
ejpam-6545	32	7	the	the	DET
ejpam-6545	32	8	canonical	canonical	ADJ
ejpam-6545	32	9	condition	condition	NOUN
ejpam-6545	32	10	.	.	PUNCT
ejpam-6545	33	1	it	it	PRON
ejpam-6545	33	2	has	have	VERB
ejpam-6545	33	3	a	a	DET
ejpam-6545	33	4	fundamental	fundamental	ADJ
ejpam-6545	33	5	effect	effect	NOUN
ejpam-6545	33	6	on	on	ADP
ejpam-6545	33	7	the	the	DET
ejpam-6545	33	8	study	study	NOUN
ejpam-6545	33	9	because	because	SCONJ
ejpam-6545	33	10	it	it	PRON
ejpam-6545	33	11	ensures	ensure	VERB
ejpam-6545	33	12	that	that	SCONJ
ejpam-6545	33	13	there	there	PRON
ejpam-6545	33	14	are	be	VERB
ejpam-6545	33	15	no	no	DET
ejpam-6545	33	16	positive	positive	ADJ
ejpam-6545	33	17	solutions	solution	NOUN
ejpam-6545	33	18	with	with	ADP
ejpam-6545	33	19	corresponding	correspond	VERB
ejpam-6545	33	20	decreasing	decrease	VERB
ejpam-6545	33	21	functions	function	NOUN
ejpam-6545	33	22	.	.	PUNCT
ejpam-6545	34	1	remark	remark	NOUN
ejpam-6545	34	2	1	1	NUM
ejpam-6545	34	3	.	.	PUNCT
ejpam-6545	35	1	all	all	DET
ejpam-6545	35	2	the	the	DET
ejpam-6545	35	3	relationships	relationship	NOUN
ejpam-6545	35	4	and	and	CCONJ
ejpam-6545	35	5	inequalities	inequality	NOUN
ejpam-6545	35	6	in	in	ADP
ejpam-6545	35	7	the	the	DET
ejpam-6545	35	8	study	study	NOUN
ejpam-6545	35	9	are	be	AUX
ejpam-6545	35	10	eventually	eventually	ADV
ejpam-6545	35	11	satisfied	satisfied	ADJ
ejpam-6545	35	12	,	,	PUNCT
ejpam-6545	35	13	i.e.	i.e.	X
ejpam-6545	35	14	for	for	ADP
ejpam-6545	35	15	t	t	PROPN
ejpam-6545	35	16	≥	≥	NOUN
ejpam-6545	35	17	t∗	t∗	PROPN
ejpam-6545	35	18	where	where	SCONJ
ejpam-6545	35	19	t∗	t∗	PROPN
ejpam-6545	35	20	≥	≥	PROPN
ejpam-6545	35	21	t0	t0	PROPN
ejpam-6545	35	22	.	.	PUNCT
ejpam-6545	36	1	s.	s.	PROPN
ejpam-6545	36	2	aloraini	aloraini	PROPN
ejpam-6545	36	3	,	,	PUNCT
ejpam-6545	36	4	a.	a.	PROPN
ejpam-6545	36	5	s.	s.	PROPN
ejpam-6545	36	6	almohaimeed	almohaimee	VERB
ejpam-6545	36	7	,	,	PUNCT
ejpam-6545	36	8	o.	o.	PROPN
ejpam-6545	36	9	moaaz	moaaz	PROPN
ejpam-6545	36	10	/	/	SYM
ejpam-6545	36	11	eur	eur	PROPN
ejpam-6545	36	12	.	.	PUNCT
ejpam-6545	37	1	j.	j.	PROPN
ejpam-6545	37	2	pure	pure	PROPN
ejpam-6545	37	3	appl	appl	PROPN
ejpam-6545	37	4	.	.	PROPN
ejpam-6545	37	5	math	math	PROPN
ejpam-6545	37	6	,	,	PUNCT
ejpam-6545	37	7	18	18	NUM
ejpam-6545	37	8	(	(	PUNCT
ejpam-6545	37	9	4	4	NUM
ejpam-6545	37	10	)	)	PUNCT
ejpam-6545	37	11	(	(	PUNCT
ejpam-6545	37	12	2025	2025	NUM
ejpam-6545	37	13	)	)	PUNCT
ejpam-6545	37	14	,	,	PUNCT
ejpam-6545	37	15	6545	6545	NUM
ejpam-6545	37	16	3	3	NUM
ejpam-6545	37	17	of	of	ADP
ejpam-6545	37	18	15	15	NUM
ejpam-6545	37	19	2	2	NUM
ejpam-6545	37	20	.	.	PUNCT
ejpam-6545	37	21	literature	literature	NOUN
ejpam-6545	37	22	review	review	PROPN
ejpam-6545	37	23	since	since	SCONJ
ejpam-6545	37	24	ndde	ndde	PROPN
ejpam-6545	37	25	appears	appear	VERB
ejpam-6545	37	26	in	in	ADP
ejpam-6545	37	27	the	the	DET
ejpam-6545	37	28	modeling	modeling	NOUN
ejpam-6545	37	29	of	of	ADP
ejpam-6545	37	30	many	many	ADJ
ejpam-6545	37	31	systems	system	NOUN
ejpam-6545	37	32	in	in	ADP
ejpam-6545	37	33	our	our	PRON
ejpam-6545	37	34	lives	life	NOUN
ejpam-6545	37	35	,	,	PUNCT
ejpam-6545	37	36	see	see	VERB
ejpam-6545	37	37	[	[	X
ejpam-6545	37	38	13–15	13–15	NUM
ejpam-6545	37	39	]	]	PUNCT
ejpam-6545	37	40	.	.	PUNCT
ejpam-6545	38	1	the	the	DET
ejpam-6545	38	2	oscillation	oscillation	NOUN
ejpam-6545	38	3	of	of	ADP
ejpam-6545	38	4	des	des	PROPN
ejpam-6545	38	5	has	have	AUX
ejpam-6545	38	6	been	be	AUX
ejpam-6545	38	7	a	a	DET
ejpam-6545	38	8	major	major	ADJ
ejpam-6545	38	9	focus	focus	NOUN
ejpam-6545	38	10	of	of	ADP
ejpam-6545	38	11	interest	interest	NOUN
ejpam-6545	38	12	among	among	ADP
ejpam-6545	38	13	researchers	researcher	NOUN
ejpam-6545	38	14	.	.	PUNCT
ejpam-6545	39	1	for	for	ADP
ejpam-6545	39	2	example	example	NOUN
ejpam-6545	39	3	,	,	PUNCT
ejpam-6545	39	4	[	[	X
ejpam-6545	39	5	16	16	NUM
ejpam-6545	39	6	,	,	PUNCT
ejpam-6545	39	7	17	17	NUM
ejpam-6545	39	8	]	]	PUNCT
ejpam-6545	39	9	was	be	AUX
ejpam-6545	39	10	interested	interested	ADJ
ejpam-6545	39	11	in	in	ADP
ejpam-6545	39	12	studying	study	VERB
ejpam-6545	39	13	first	first	ADJ
ejpam-6545	39	14	-	-	PUNCT
ejpam-6545	39	15	order	order	NOUN
ejpam-6545	39	16	nddes	ndde	NOUN
ejpam-6545	39	17	but	but	CCONJ
ejpam-6545	39	18	[	[	X
ejpam-6545	39	19	18–21	18–21	NUM
ejpam-6545	39	20	]	]	X
ejpam-6545	39	21	was	be	AUX
ejpam-6545	39	22	interested	interested	ADJ
ejpam-6545	39	23	in	in	ADP
ejpam-6545	39	24	the	the	DET
ejpam-6545	39	25	second	second	ADJ
ejpam-6545	39	26	-	-	PUNCT
ejpam-6545	39	27	order	order	NOUN
ejpam-6545	39	28	equations	equation	NOUN
ejpam-6545	39	29	.	.	PUNCT
ejpam-6545	40	1	conversely	conversely	ADV
ejpam-6545	40	2	,	,	PUNCT
ejpam-6545	40	3	the	the	DET
ejpam-6545	40	4	even	even	ADJ
ejpam-6545	40	5	/	/	SYM
ejpam-6545	40	6	nth	nth	NOUN
ejpam-6545	40	7	order	order	NOUN
ejpam-6545	40	8	equations	equation	NOUN
ejpam-6545	40	9	were	be	AUX
ejpam-6545	40	10	studied	study	VERB
ejpam-6545	40	11	in	in	ADP
ejpam-6545	40	12	works	work	NOUN
ejpam-6545	40	13	[	[	X
ejpam-6545	40	14	22–25	22–25	NUM
ejpam-6545	40	15	]	]	PUNCT
ejpam-6545	40	16	.	.	PUNCT
ejpam-6545	41	1	in	in	ADP
ejpam-6545	41	2	1978	1978	NUM
ejpam-6545	41	3	,	,	PUNCT
ejpam-6545	41	4	brands	brand	NOUN
ejpam-6545	41	5	[	[	X
ejpam-6545	41	6	26	26	NUM
ejpam-6545	41	7	]	]	PUNCT
ejpam-6545	41	8	proved	prove	VERB
ejpam-6545	41	9	that	that	SCONJ
ejpam-6545	41	10	,	,	PUNCT
ejpam-6545	41	11	in	in	ADP
ejpam-6545	41	12	the	the	DET
ejpam-6545	41	13	case	case	NOUN
ejpam-6545	41	14	of	of	ADP
ejpam-6545	41	15	bounded	bounded	ADJ
ejpam-6545	41	16	delays	delay	NOUN
ejpam-6545	41	17	,	,	PUNCT
ejpam-6545	41	18	the	the	DET
ejpam-6545	41	19	solutions	solution	NOUN
ejpam-6545	41	20	of	of	ADP
ejpam-6545	41	21	x′′	x′′	PROPN
ejpam-6545	41	22	(	(	PUNCT
ejpam-6545	41	23	s	s	X
ejpam-6545	41	24	)	)	PUNCT
ejpam-6545	41	25	+	+	NOUN
ejpam-6545	41	26	q	q	X
ejpam-6545	41	27	(	(	PUNCT
ejpam-6545	41	28	s)x	s)x	X
ejpam-6545	41	29	(	(	PUNCT
ejpam-6545	41	30	s−	s−	PROPN
ejpam-6545	41	31	η	η	PROPN
ejpam-6545	41	32	)	)	PUNCT
ejpam-6545	41	33	=	=	SYM
ejpam-6545	41	34	0	0	NUM
ejpam-6545	41	35	,	,	PUNCT
ejpam-6545	41	36	are	be	AUX
ejpam-6545	41	37	oscillatory	oscillatory	ADJ
ejpam-6545	41	38	if	if	SCONJ
ejpam-6545	41	39	the	the	DET
ejpam-6545	41	40	solutions	solution	NOUN
ejpam-6545	41	41	of	of	ADP
ejpam-6545	41	42	x′′	x′′	PROPN
ejpam-6545	41	43	(	(	PUNCT
ejpam-6545	41	44	s	s	X
ejpam-6545	41	45	)	)	PUNCT
ejpam-6545	41	46	+	+	NOUN
ejpam-6545	41	47	q	q	X
ejpam-6545	41	48	(	(	PUNCT
ejpam-6545	41	49	s)x	s)x	X
ejpam-6545	41	50	(	(	PUNCT
ejpam-6545	41	51	s	s	X
ejpam-6545	41	52	)	)	PUNCT
ejpam-6545	41	53	=	=	SYM
ejpam-6545	41	54	0	0	NUM
ejpam-6545	41	55	are	be	AUX
ejpam-6545	41	56	also	also	ADV
ejpam-6545	41	57	oscillatory	oscillatory	ADJ
ejpam-6545	41	58	.	.	PUNCT
ejpam-6545	42	1	then	then	ADV
ejpam-6545	42	2	,	,	PUNCT
ejpam-6545	42	3	based	base	VERB
ejpam-6545	42	4	on	on	ADP
ejpam-6545	42	5	the	the	DET
ejpam-6545	42	6	well	well	ADV
ejpam-6545	42	7	-	-	PUNCT
ejpam-6545	42	8	known	know	VERB
ejpam-6545	42	9	results	result	NOUN
ejpam-6545	42	10	obtained	obtain	VERB
ejpam-6545	42	11	by	by	ADP
ejpam-6545	42	12	ladas	ladas	PROPN
ejpam-6545	42	13	et	et	PROPN
ejpam-6545	42	14	al	al	PROPN
ejpam-6545	42	15	.	.	PUNCT
ejpam-6545	43	1	[	[	X
ejpam-6545	43	2	27	27	NUM
ejpam-6545	43	3	]	]	PUNCT
ejpam-6545	43	4	for	for	ADP
ejpam-6545	43	5	the	the	DET
ejpam-6545	43	6	oscillation	oscillation	NOUN
ejpam-6545	43	7	of	of	ADP
ejpam-6545	43	8	the	the	DET
ejpam-6545	43	9	first	first	ADJ
ejpam-6545	43	10	-	-	PUNCT
ejpam-6545	43	11	order	order	NOUN
ejpam-6545	43	12	dde	dde	PROPN
ejpam-6545	43	13	,	,	PUNCT
ejpam-6545	43	14	wei	wei	PROPN
ejpam-6545	44	1	[	[	X
ejpam-6545	44	2	28	28	NUM
ejpam-6545	44	3	]	]	PUNCT
ejpam-6545	44	4	provided	provide	VERB
ejpam-6545	44	5	the	the	DET
ejpam-6545	44	6	famous	famous	ADJ
ejpam-6545	44	7	oscillation	oscillation	NOUN
ejpam-6545	44	8	criteria	criterion	NOUN
ejpam-6545	44	9	lim	lim	PROPN
ejpam-6545	44	10	sup	sup	NOUN
ejpam-6545	44	11	s→∞	s→∞	NUM
ejpam-6545	45	1	∫	∫	PROPN
ejpam-6545	45	2	s	s	PART
ejpam-6545	45	3	η(s	η(s	PROPN
ejpam-6545	45	4	)	)	PUNCT
ejpam-6545	45	5	η	η	PROPN
ejpam-6545	45	6	(	(	PUNCT
ejpam-6545	45	7	ρ	ρ	PROPN
ejpam-6545	45	8	)	)	PUNCT
ejpam-6545	45	9	q	q	NOUN
ejpam-6545	45	10	(	(	PUNCT
ejpam-6545	45	11	ρ	ρ	NOUN
ejpam-6545	45	12	)	)	PUNCT
ejpam-6545	45	13	dρ	dρ	NOUN
ejpam-6545	45	14	>	>	SYM
ejpam-6545	45	15	1	1	NUM
ejpam-6545	45	16	or	or	CCONJ
ejpam-6545	45	17	lim	lim	PROPN
ejpam-6545	45	18	inf	inf	PROPN
ejpam-6545	45	19	s→∞	s→∞	NUM
ejpam-6545	45	20	∫	∫	PROPN
ejpam-6545	45	21	s	s	PART
ejpam-6545	45	22	η(s	η(s	PROPN
ejpam-6545	45	23	)	)	PUNCT
ejpam-6545	45	24	η	η	PROPN
ejpam-6545	45	25	(	(	PUNCT
ejpam-6545	45	26	ρ	ρ	PROPN
ejpam-6545	45	27	)	)	PUNCT
ejpam-6545	45	28	q	q	NOUN
ejpam-6545	45	29	(	(	PUNCT
ejpam-6545	45	30	ρ	ρ	NOUN
ejpam-6545	45	31	)	)	PUNCT
ejpam-6545	45	32	dρ	dρ	NOUN
ejpam-6545	45	33	>	>	SYM
ejpam-6545	45	34	1	1	NUM
ejpam-6545	45	35	e	e	NOUN
ejpam-6545	45	36	,	,	PUNCT
ejpam-6545	45	37	for	for	ADP
ejpam-6545	45	38	the	the	DET
ejpam-6545	45	39	second	second	ADJ
ejpam-6545	45	40	order	order	NOUN
ejpam-6545	45	41	dde	dde	PROPN
ejpam-6545	45	42	x′′	x′′	PROPN
ejpam-6545	45	43	(	(	PUNCT
ejpam-6545	45	44	s	s	X
ejpam-6545	45	45	)	)	PUNCT
ejpam-6545	45	46	+	+	NOUN
ejpam-6545	45	47	q	q	X
ejpam-6545	45	48	(	(	PUNCT
ejpam-6545	45	49	s)x	s)x	X
ejpam-6545	45	50	(	(	PUNCT
ejpam-6545	45	51	η	η	X
ejpam-6545	45	52	(	(	PUNCT
ejpam-6545	45	53	s	s	NOUN
ejpam-6545	45	54	)	)	PUNCT
ejpam-6545	45	55	)	)	PUNCT
ejpam-6545	46	1	=	=	PUNCT
ejpam-6545	46	2	0	0	X
ejpam-6545	46	3	.	.	PUNCT
ejpam-6545	47	1	then	then	ADV
ejpam-6545	47	2	koplatadze	koplatadze	VERB
ejpam-6545	47	3	et	et	PROPN
ejpam-6545	47	4	al	al	PROPN
ejpam-6545	47	5	.	.	PUNCT
ejpam-6545	48	1	[	[	X
ejpam-6545	48	2	29	29	NUM
ejpam-6545	48	3	]	]	PUNCT
ejpam-6545	48	4	improved	improve	VERB
ejpam-6545	48	5	these	these	DET
ejpam-6545	48	6	criteria	criterion	NOUN
ejpam-6545	48	7	to	to	ADP
ejpam-6545	48	8	the	the	DET
ejpam-6545	48	9	form	form	NOUN
ejpam-6545	48	10	lim	lim	PROPN
ejpam-6545	48	11	sup	sup	NOUN
ejpam-6545	48	12	s→∞	s→∞	NUM
ejpam-6545	48	13	∫	∫	PROPN
ejpam-6545	48	14	s	s	PART
ejpam-6545	48	15	η(s	η(s	PROPN
ejpam-6545	48	16	)	)	PUNCT
ejpam-6545	48	17	q	q	NOUN
ejpam-6545	49	1	(	(	PUNCT
ejpam-6545	49	2	ρ	ρ	NOUN
ejpam-6545	49	3	)	)	PUNCT
ejpam-6545	49	4	[	[	PUNCT
ejpam-6545	49	5	η	η	PROPN
ejpam-6545	49	6	(	(	PUNCT
ejpam-6545	49	7	ρ	ρ	PROPN
ejpam-6545	49	8	)	)	PUNCT
ejpam-6545	49	9	+	+	NUM
ejpam-6545	49	10	∫	∫	PROPN
ejpam-6545	49	11	η(ρ	η(ρ	NOUN
ejpam-6545	49	12	)	)	PUNCT
ejpam-6545	50	1	s1	s1	PROPN
ejpam-6545	50	2	νη	νη	NOUN
ejpam-6545	50	3	(	(	PUNCT
ejpam-6545	50	4	ν	ν	NOUN
ejpam-6545	50	5	)	)	PUNCT
ejpam-6545	50	6	q	q	NOUN
ejpam-6545	50	7	(	(	PUNCT
ejpam-6545	50	8	ν	ν	NOUN
ejpam-6545	50	9	)	)	PUNCT
ejpam-6545	50	10	dν	dν	VERB
ejpam-6545	50	11	]	]	PUNCT
ejpam-6545	50	12	dρ	dρ	X
ejpam-6545	50	13	>	>	X
ejpam-6545	50	14	1	1	NUM
ejpam-6545	50	15	,	,	PUNCT
ejpam-6545	50	16	for	for	ADP
ejpam-6545	50	17	η′	η′	PRON
ejpam-6545	50	18	≥	≥	NOUN
ejpam-6545	50	19	0	0	NUM
ejpam-6545	50	20	,	,	PUNCT
ejpam-6545	50	21	or	or	CCONJ
ejpam-6545	50	22	lim	lim	PROPN
ejpam-6545	50	23	inf	inf	PROPN
ejpam-6545	50	24	s→∞	s→∞	NUM
ejpam-6545	50	25	∫	∫	PROPN
ejpam-6545	50	26	s	s	PART
ejpam-6545	50	27	η(s	η(s	PROPN
ejpam-6545	50	28	)	)	PUNCT
ejpam-6545	50	29	q	q	NOUN
ejpam-6545	51	1	(	(	PUNCT
ejpam-6545	51	2	ρ	ρ	NOUN
ejpam-6545	51	3	)	)	PUNCT
ejpam-6545	51	4	[	[	PUNCT
ejpam-6545	51	5	η	η	PROPN
ejpam-6545	51	6	(	(	PUNCT
ejpam-6545	51	7	ρ	ρ	PROPN
ejpam-6545	51	8	)	)	PUNCT
ejpam-6545	51	9	+	+	NUM
ejpam-6545	51	10	∫	∫	PROPN
ejpam-6545	51	11	η(ρ	η(ρ	NOUN
ejpam-6545	51	12	)	)	PUNCT
ejpam-6545	52	1	s1	s1	PROPN
ejpam-6545	52	2	νη	νη	NOUN
ejpam-6545	52	3	(	(	PUNCT
ejpam-6545	52	4	ν	ν	NOUN
ejpam-6545	52	5	)	)	PUNCT
ejpam-6545	52	6	q	q	NOUN
ejpam-6545	52	7	(	(	PUNCT
ejpam-6545	52	8	ν	ν	NOUN
ejpam-6545	52	9	)	)	PUNCT
ejpam-6545	52	10	dν	dν	VERB
ejpam-6545	52	11	]	]	PUNCT
ejpam-6545	52	12	dρ	dρ	VERB
ejpam-6545	52	13	>	>	X
ejpam-6545	52	14	1	1	NUM
ejpam-6545	52	15	e	e	NOUN
ejpam-6545	52	16	.	.	PUNCT
ejpam-6545	53	1	investigating	investigate	VERB
ejpam-6545	53	2	the	the	DET
ejpam-6545	53	3	oscillation	oscillation	NOUN
ejpam-6545	53	4	behavior	behavior	NOUN
ejpam-6545	53	5	by	by	ADP
ejpam-6545	53	6	using	use	VERB
ejpam-6545	53	7	the	the	DET
ejpam-6545	53	8	riccati	riccati	PROPN
ejpam-6545	53	9	technique	technique	NOUN
ejpam-6545	53	10	was	be	AUX
ejpam-6545	53	11	a	a	DET
ejpam-6545	53	12	very	very	ADV
ejpam-6545	53	13	useful	useful	ADJ
ejpam-6545	53	14	tool	tool	NOUN
ejpam-6545	53	15	in	in	ADP
ejpam-6545	53	16	literature	literature	NOUN
ejpam-6545	53	17	,	,	PUNCT
ejpam-6545	53	18	since	since	SCONJ
ejpam-6545	53	19	this	this	DET
ejpam-6545	53	20	technique	technique	NOUN
ejpam-6545	53	21	aims	aim	VERB
ejpam-6545	53	22	to	to	PART
ejpam-6545	53	23	diminish	diminish	VERB
ejpam-6545	53	24	the	the	DET
ejpam-6545	53	25	order	order	NOUN
ejpam-6545	53	26	of	of	ADP
ejpam-6545	53	27	the	the	DET
ejpam-6545	53	28	de	de	PROPN
ejpam-6545	53	29	to	to	ADP
ejpam-6545	53	30	the	the	DET
ejpam-6545	53	31	first	first	ADJ
ejpam-6545	53	32	-	-	PUNCT
ejpam-6545	53	33	order	order	NOUN
ejpam-6545	53	34	de	de	NOUN
ejpam-6545	53	35	and	and	CCONJ
ejpam-6545	53	36	allows	allow	VERB
ejpam-6545	53	37	us	we	PRON
ejpam-6545	53	38	to	to	PART
ejpam-6545	53	39	benefit	benefit	VERB
ejpam-6545	53	40	from	from	ADP
ejpam-6545	53	41	the	the	DET
ejpam-6545	53	42	wide	wide	ADJ
ejpam-6545	53	43	range	range	NOUN
ejpam-6545	53	44	of	of	ADP
ejpam-6545	53	45	oscillation	oscillation	NOUN
ejpam-6545	53	46	research	research	NOUN
ejpam-6545	53	47	regarding	regard	VERB
ejpam-6545	53	48	these	these	DET
ejpam-6545	53	49	first	first	ADJ
ejpam-6545	53	50	-	-	PUNCT
ejpam-6545	53	51	order	order	NOUN
ejpam-6545	53	52	ones	one	NOUN
ejpam-6545	53	53	.	.	PUNCT
ejpam-6545	54	1	dzurina	dzurina	NOUN
ejpam-6545	54	2	and	and	CCONJ
ejpam-6545	54	3	stavroulakis	stavroulaki	NOUN
ejpam-6545	55	1	[	[	X
ejpam-6545	55	2	30	30	NUM
ejpam-6545	55	3	]	]	PUNCT
ejpam-6545	55	4	used	use	VERB
ejpam-6545	55	5	the	the	DET
ejpam-6545	55	6	riccati	riccati	PROPN
ejpam-6545	55	7	technique	technique	NOUN
ejpam-6545	55	8	to	to	PART
ejpam-6545	55	9	provide	provide	VERB
ejpam-6545	55	10	the	the	DET
ejpam-6545	55	11	oscillation	oscillation	NOUN
ejpam-6545	55	12	criteria∫	criteria∫	NOUN
ejpam-6545	55	13	∞	∞	PROPN
ejpam-6545	55	14	rκ	rκ	VERB
ejpam-6545	55	15	(	(	PUNCT
ejpam-6545	55	16	η	η	PROPN
ejpam-6545	55	17	(	(	PUNCT
ejpam-6545	55	18	ρ	ρ	PROPN
ejpam-6545	55	19	)	)	PUNCT
ejpam-6545	55	20	)	)	PUNCT
ejpam-6545	55	21	q	q	NOUN
ejpam-6545	56	1	(	(	PUNCT
ejpam-6545	56	2	ρ)−	ρ)−	PROPN
ejpam-6545	56	3	κη′	κη′	NOUN
ejpam-6545	56	4	(	(	PUNCT
ejpam-6545	56	5	ρ	ρ	PROPN
ejpam-6545	56	6	)	)	PUNCT
ejpam-6545	56	7	4l1r	4l1r	NOUN
ejpam-6545	56	8	(	(	PUNCT
ejpam-6545	56	9	η	η	PROPN
ejpam-6545	56	10	(	(	PUNCT
ejpam-6545	56	11	ρ	ρ	NOUN
ejpam-6545	56	12	)	)	PUNCT
ejpam-6545	56	13	)	)	PUNCT
ejpam-6545	56	14	r1	r1	PROPN
ejpam-6545	56	15	/	/	SYM
ejpam-6545	56	16	κ	κ	PROPN
ejpam-6545	56	17	(	(	PUNCT
ejpam-6545	56	18	η	η	PROPN
ejpam-6545	56	19	(	(	PUNCT
ejpam-6545	56	20	ρ	ρ	PROPN
ejpam-6545	56	21	)	)	PUNCT
ejpam-6545	56	22	)	)	PUNCT
ejpam-6545	56	23	dρ	dρ	PROPN
ejpam-6545	57	1	=	=	SYM
ejpam-6545	57	2	∞	∞	PROPN
ejpam-6545	57	3	,	,	PUNCT
ejpam-6545	57	4	(	(	PUNCT
ejpam-6545	57	5	3	3	X
ejpam-6545	57	6	)	)	PUNCT
ejpam-6545	57	7	where	where	SCONJ
ejpam-6545	57	8	κ	κ	PROPN
ejpam-6545	57	9	≥	≥	NOUN
ejpam-6545	57	10	1	1	NUM
ejpam-6545	57	11	,	,	PUNCT
ejpam-6545	57	12	η′	η′	PROPN
ejpam-6545	57	13	>	>	X
ejpam-6545	57	14	0	0	NUM
ejpam-6545	57	15	,	,	PUNCT
ejpam-6545	57	16	and	and	CCONJ
ejpam-6545	57	17	0	0	NUM
ejpam-6545	57	18	<	<	X
ejpam-6545	57	19	l1	l1	PROPN
ejpam-6545	57	20	<	<	X
ejpam-6545	57	21	1	1	NUM
ejpam-6545	57	22	,	,	PUNCT
ejpam-6545	57	23	for	for	ADP
ejpam-6545	57	24	the	the	DET
ejpam-6545	57	25	half	half	ADJ
ejpam-6545	57	26	linear	linear	PROPN
ejpam-6545	57	27	dde	dde	PROPN
ejpam-6545	57	28	(	(	PUNCT
ejpam-6545	57	29	r	r	NOUN
ejpam-6545	57	30	(	(	PUNCT
ejpam-6545	57	31	s	s	NOUN
ejpam-6545	57	32	)	)	PUNCT
ejpam-6545	57	33	(	(	PUNCT
ejpam-6545	57	34	x′	x′	PROPN
ejpam-6545	57	35	(	(	PUNCT
ejpam-6545	57	36	s	s	NOUN
ejpam-6545	57	37	)	)	PUNCT
ejpam-6545	57	38	)	)	PUNCT
ejpam-6545	58	1	κ)′	κ)′	PROPN
ejpam-6545	59	1	+	+	NOUN
ejpam-6545	59	2	q	q	X
ejpam-6545	59	3	(	(	PUNCT
ejpam-6545	59	4	s)xκ	s)xκ	PROPN
ejpam-6545	59	5	(	(	PUNCT
ejpam-6545	59	6	η	η	PROPN
ejpam-6545	59	7	(	(	PUNCT
ejpam-6545	59	8	s	s	NOUN
ejpam-6545	59	9	)	)	PUNCT
ejpam-6545	59	10	)	)	PUNCT
ejpam-6545	60	1	=	=	PUNCT
ejpam-6545	60	2	0	0	X
ejpam-6545	60	3	.	.	PUNCT
ejpam-6545	61	1	(	(	PUNCT
ejpam-6545	61	2	4	4	X
ejpam-6545	61	3	)	)	PUNCT
ejpam-6545	61	4	s.	s.	PROPN
ejpam-6545	61	5	aloraini	aloraini	PROPN
ejpam-6545	61	6	,	,	PUNCT
ejpam-6545	61	7	a.	a.	PROPN
ejpam-6545	61	8	s.	s.	PROPN
ejpam-6545	61	9	almohaimeed	almohaimee	VERB
ejpam-6545	61	10	,	,	PUNCT
ejpam-6545	61	11	o.	o.	PROPN
ejpam-6545	61	12	moaaz	moaaz	PROPN
ejpam-6545	61	13	/	/	SYM
ejpam-6545	61	14	eur	eur	PROPN
ejpam-6545	61	15	.	.	PUNCT
ejpam-6545	62	1	j.	j.	PROPN
ejpam-6545	62	2	pure	pure	PROPN
ejpam-6545	62	3	appl	appl	PROPN
ejpam-6545	62	4	.	.	PROPN
ejpam-6545	62	5	math	math	PROPN
ejpam-6545	62	6	,	,	PUNCT
ejpam-6545	62	7	18	18	NUM
ejpam-6545	62	8	(	(	PUNCT
ejpam-6545	62	9	4	4	NUM
ejpam-6545	62	10	)	)	PUNCT
ejpam-6545	62	11	(	(	PUNCT
ejpam-6545	62	12	2025	2025	NUM
ejpam-6545	62	13	)	)	PUNCT
ejpam-6545	62	14	,	,	PUNCT
ejpam-6545	62	15	6545	6545	NUM
ejpam-6545	62	16	4	4	NUM
ejpam-6545	62	17	of	of	ADP
ejpam-6545	62	18	15	15	NUM
ejpam-6545	62	19	after	after	ADP
ejpam-6545	62	20	that	that	PRON
ejpam-6545	62	21	,	,	PUNCT
ejpam-6545	62	22	sun	sun	NOUN
ejpam-6545	62	23	and	and	CCONJ
ejpam-6545	62	24	meng	meng	PROPN
ejpam-6545	62	25	[	[	X
ejpam-6545	62	26	31	31	NUM
ejpam-6545	62	27	]	]	PUNCT
ejpam-6545	62	28	developed	develop	VERB
ejpam-6545	62	29	(	(	PUNCT
ejpam-6545	62	30	3	3	NUM
ejpam-6545	62	31	)	)	PUNCT
ejpam-6545	63	1	to∫	to∫	NOUN
ejpam-6545	63	2	∞	∞	NUM
ejpam-6545	63	3	rκ	rκ	VERB
ejpam-6545	63	4	(	(	PUNCT
ejpam-6545	63	5	η	η	PROPN
ejpam-6545	63	6	(	(	PUNCT
ejpam-6545	63	7	ρ	ρ	PROPN
ejpam-6545	63	8	)	)	PUNCT
ejpam-6545	63	9	)	)	PUNCT
ejpam-6545	64	1	q	q	NOUN
ejpam-6545	65	1	(	(	PUNCT
ejpam-6545	65	2	ρ)−	ρ)−	PROPN
ejpam-6545	65	3	(	(	PUNCT
ejpam-6545	65	4	κ	κ	PROPN
ejpam-6545	65	5	κ+	κ+	PROPN
ejpam-6545	65	6	1	1	NUM
ejpam-6545	65	7	)	)	PUNCT
ejpam-6545	65	8	κ+1	κ+1	NUM
ejpam-6545	65	9	η′	η′	PROPN
ejpam-6545	65	10	(	(	PUNCT
ejpam-6545	65	11	ρ	ρ	NOUN
ejpam-6545	65	12	)	)	PUNCT
ejpam-6545	65	13	r	r	NOUN
ejpam-6545	65	14	(	(	PUNCT
ejpam-6545	65	15	η	η	PROPN
ejpam-6545	65	16	(	(	PUNCT
ejpam-6545	65	17	ρ	ρ	NOUN
ejpam-6545	65	18	)	)	PUNCT
ejpam-6545	65	19	)	)	PUNCT
ejpam-6545	65	20	r1	r1	PROPN
ejpam-6545	65	21	/	/	SYM
ejpam-6545	65	22	κ	κ	PROPN
ejpam-6545	65	23	(	(	PUNCT
ejpam-6545	65	24	η	η	PROPN
ejpam-6545	65	25	(	(	PUNCT
ejpam-6545	65	26	ρ	ρ	PROPN
ejpam-6545	65	27	)	)	PUNCT
ejpam-6545	65	28	)	)	PUNCT
ejpam-6545	65	29	dρ	dρ	PROPN
ejpam-6545	66	1	=	=	SYM
ejpam-6545	66	2	∞.	∞.	PROPN
ejpam-6545	66	3	one	one	PRON
ejpam-6545	66	4	may	may	AUX
ejpam-6545	66	5	find	find	VERB
ejpam-6545	66	6	some	some	DET
ejpam-6545	66	7	oscillation	oscillation	NOUN
ejpam-6545	66	8	results	result	NOUN
ejpam-6545	66	9	for	for	ADP
ejpam-6545	66	10	the	the	DET
ejpam-6545	66	11	noncanonical	noncanonical	ADJ
ejpam-6545	66	12	case	case	NOUN
ejpam-6545	66	13	of	of	ADP
ejpam-6545	66	14	(	(	PUNCT
ejpam-6545	66	15	4	4	NUM
ejpam-6545	66	16	)	)	PUNCT
ejpam-6545	66	17	,	,	PUNCT
ejpam-6545	66	18	i.e.	i.e.	X
ejpam-6545	66	19	,∫	,∫	PUNCT
ejpam-6545	66	20	∞	∞	PROPN
ejpam-6545	66	21	s0	s0	PROPN
ejpam-6545	66	22	r−1	r−1	PROPN
ejpam-6545	66	23	/	/	SYM
ejpam-6545	66	24	κ	κ	PROPN
ejpam-6545	66	25	(	(	PUNCT
ejpam-6545	66	26	ρ	ρ	NOUN
ejpam-6545	66	27	)	)	PUNCT
ejpam-6545	66	28	dρ	dρ	NOUN
ejpam-6545	66	29	<	<	X
ejpam-6545	66	30	∞	∞	PROPN
ejpam-6545	66	31	,	,	PUNCT
ejpam-6545	66	32	in	in	ADP
ejpam-6545	66	33	the	the	DET
ejpam-6545	66	34	works	work	NOUN
ejpam-6545	66	35	of	of	ADP
ejpam-6545	66	36	chatzarakis	chatzaraki	NOUN
ejpam-6545	66	37	et	et	PROPN
ejpam-6545	66	38	al	al	PROPN
ejpam-6545	66	39	.	.	PUNCT
ejpam-6545	67	1	[	[	X
ejpam-6545	67	2	32	32	NUM
ejpam-6545	67	3	,	,	PUNCT
ejpam-6545	67	4	33	33	NUM
ejpam-6545	67	5	]	]	PUNCT
ejpam-6545	67	6	.	.	PUNCT
ejpam-6545	68	1	wong	wong	PROPN
ejpam-6545	69	1	[	[	X
ejpam-6545	69	2	34	34	NUM
ejpam-6545	69	3	]	]	PUNCT
ejpam-6545	69	4	found	find	VERB
ejpam-6545	69	5	the	the	DET
ejpam-6545	69	6	conditions	condition	NOUN
ejpam-6545	69	7	that	that	PRON
ejpam-6545	69	8	guarantee	guarantee	VERB
ejpam-6545	69	9	the	the	DET
ejpam-6545	69	10	oscillation	oscillation	NOUN
ejpam-6545	69	11	of	of	ADP
ejpam-6545	69	12	solutions	solution	NOUN
ejpam-6545	69	13	to	to	ADP
ejpam-6545	69	14	the	the	DET
ejpam-6545	69	15	ndde	ndde	NOUN
ejpam-6545	69	16	:	:	PUNCT
ejpam-6545	69	17	(	(	PUNCT
ejpam-6545	69	18	x	x	X
ejpam-6545	69	19	(	(	PUNCT
ejpam-6545	69	20	s	s	NOUN
ejpam-6545	69	21	)	)	PUNCT
ejpam-6545	69	22	+	+	NUM
ejpam-6545	69	23	px	px	X
ejpam-6545	69	24	(	(	PUNCT
ejpam-6545	69	25	s−	s−	PROPN
ejpam-6545	69	26	τ))′′	τ))′′	PUNCT
ejpam-6545	70	1	+	+	CCONJ
ejpam-6545	70	2	q	q	X
ejpam-6545	70	3	(	(	PUNCT
ejpam-6545	70	4	s	s	NOUN
ejpam-6545	70	5	)	)	PUNCT
ejpam-6545	70	6	f	f	NOUN
ejpam-6545	70	7	(	(	PUNCT
ejpam-6545	70	8	x	x	X
ejpam-6545	70	9	(	(	PUNCT
ejpam-6545	70	10	s−	s−	PROPN
ejpam-6545	70	11	τ	τ	PROPN
ejpam-6545	70	12	)	)	PUNCT
ejpam-6545	70	13	)	)	PUNCT
ejpam-6545	71	1	=	=	SYM
ejpam-6545	71	2	0	0	NUM
ejpam-6545	71	3	,	,	PUNCT
ejpam-6545	71	4	where	where	SCONJ
ejpam-6545	71	5	the	the	DET
ejpam-6545	71	6	delays	delay	NOUN
ejpam-6545	71	7	and	and	CCONJ
ejpam-6545	71	8	the	the	DET
ejpam-6545	71	9	neutral	neutral	ADJ
ejpam-6545	71	10	coefficient	coefficient	NOUN
ejpam-6545	71	11	τ	τ	PROPN
ejpam-6545	71	12	,	,	PUNCT
ejpam-6545	71	13	η	η	PROPN
ejpam-6545	71	14	are	be	AUX
ejpam-6545	71	15	constants	constant	NOUN
ejpam-6545	71	16	.	.	PUNCT
ejpam-6545	72	1	xu	xu	PROPN
ejpam-6545	72	2	and	and	CCONJ
ejpam-6545	72	3	meng	meng	PROPN
ejpam-6545	73	1	[	[	X
ejpam-6545	73	2	35	35	NUM
ejpam-6545	73	3	]	]	PUNCT
ejpam-6545	73	4	generalized	generalize	VERB
ejpam-6545	73	5	the	the	DET
ejpam-6545	73	6	previous	previous	ADJ
ejpam-6545	73	7	criteria	criterion	NOUN
ejpam-6545	73	8	to	to	ADP
ejpam-6545	73	9	the	the	DET
ejpam-6545	73	10	ndde	ndde	NOUN
ejpam-6545	73	11	(	(	PUNCT
ejpam-6545	73	12	r	r	NOUN
ejpam-6545	73	13	(	(	PUNCT
ejpam-6545	73	14	s	s	NOUN
ejpam-6545	73	15	)	)	PUNCT
ejpam-6545	73	16	(	(	PUNCT
ejpam-6545	73	17	[	[	X
ejpam-6545	73	18	x	x	X
ejpam-6545	73	19	(	(	PUNCT
ejpam-6545	73	20	s	s	NOUN
ejpam-6545	73	21	)	)	PUNCT
ejpam-6545	73	22	+	+	X
ejpam-6545	73	23	p	p	NOUN
ejpam-6545	73	24	(	(	PUNCT
ejpam-6545	73	25	s)x	s)x	X
ejpam-6545	73	26	(	(	PUNCT
ejpam-6545	73	27	τ	τ	X
ejpam-6545	73	28	(	(	PUNCT
ejpam-6545	73	29	s))]′	s))]′	PROPN
ejpam-6545	73	30	)	)	PUNCT
ejpam-6545	74	1	κ)′	κ)′	PROPN
ejpam-6545	75	1	+	+	CCONJ
ejpam-6545	75	2	q	q	X
ejpam-6545	75	3	(	(	PUNCT
ejpam-6545	75	4	s)xκ	s)xκ	PROPN
ejpam-6545	75	5	(	(	PUNCT
ejpam-6545	75	6	η	η	PROPN
ejpam-6545	75	7	(	(	PUNCT
ejpam-6545	75	8	s	s	NOUN
ejpam-6545	75	9	)	)	PUNCT
ejpam-6545	75	10	)	)	PUNCT
ejpam-6545	76	1	=	=	PUNCT
ejpam-6545	76	2	0	0	X
ejpam-6545	76	3	.	.	PUNCT
ejpam-6545	77	1	(	(	PUNCT
ejpam-6545	77	2	5	5	NUM
ejpam-6545	77	3	)	)	PUNCT
ejpam-6545	77	4	in	in	ADP
ejpam-6545	77	5	2018	2018	NUM
ejpam-6545	77	6	,	,	PUNCT
ejpam-6545	77	7	grace	grace	NOUN
ejpam-6545	77	8	et	et	NOUN
ejpam-6545	77	9	al	al	PROPN
ejpam-6545	77	10	.	.	PUNCT
ejpam-6545	78	1	[	[	X
ejpam-6545	78	2	36	36	NUM
ejpam-6545	78	3	]	]	PUNCT
ejpam-6545	78	4	established	establish	VERB
ejpam-6545	78	5	criteria	criterion	NOUN
ejpam-6545	78	6	that	that	PRON
ejpam-6545	78	7	are	be	AUX
ejpam-6545	78	8	sufficient	sufficient	ADJ
ejpam-6545	78	9	for	for	SCONJ
ejpam-6545	78	10	the	the	DET
ejpam-6545	78	11	solutions	solution	NOUN
ejpam-6545	78	12	of	of	ADP
ejpam-6545	78	13	(	(	PUNCT
ejpam-6545	78	14	5	5	NUM
ejpam-6545	78	15	)	)	PUNCT
ejpam-6545	78	16	to	to	PART
ejpam-6545	78	17	oscillate	oscillate	VERB
ejpam-6545	78	18	when	when	SCONJ
ejpam-6545	78	19	0	0	NUM
ejpam-6545	78	20	≤	≤	NOUN
ejpam-6545	79	1	p	p	X
ejpam-6545	79	2	<	<	X
ejpam-6545	79	3	1	1	NUM
ejpam-6545	79	4	,	,	PUNCT
ejpam-6545	80	1	and	and	CCONJ
ejpam-6545	80	2	showed	show	VERB
ejpam-6545	80	3	that	that	SCONJ
ejpam-6545	80	4	the	the	DET
ejpam-6545	80	5	oscillation	oscillation	NOUN
ejpam-6545	80	6	can	can	AUX
ejpam-6545	80	7	be	be	AUX
ejpam-6545	80	8	ensured	ensure	VERB
ejpam-6545	80	9	provided	provide	VERB
ejpam-6545	80	10	that	that	SCONJ
ejpam-6545	80	11	at	at	ADV
ejpam-6545	80	12	least	least	ADJ
ejpam-6545	80	13	one	one	NUM
ejpam-6545	80	14	of	of	ADP
ejpam-6545	80	15	the	the	DET
ejpam-6545	80	16	next	next	ADJ
ejpam-6545	80	17	conditions	condition	NOUN
ejpam-6545	80	18	is	be	AUX
ejpam-6545	80	19	satisfied	satisfied	ADJ
ejpam-6545	80	20	lim	lim	NOUN
ejpam-6545	80	21	sup	sup	PROPN
ejpam-6545	80	22	s→∞	s→∞	NUM
ejpam-6545	80	23	∫	∫	PROPN
ejpam-6545	80	24	s	s	PART
ejpam-6545	80	25	η(s	η(s	PROPN
ejpam-6545	80	26	)	)	PUNCT
ejpam-6545	81	1	q	q	NOUN
ejpam-6545	81	2	(	(	PUNCT
ejpam-6545	81	3	ρ	ρ	PROPN
ejpam-6545	81	4	)	)	PUNCT
ejpam-6545	81	5	r̃κ	r̃κ	PROPN
ejpam-6545	81	6	(	(	PUNCT
ejpam-6545	81	7	η	η	PROPN
ejpam-6545	81	8	(	(	PUNCT
ejpam-6545	81	9	ρ	ρ	PROPN
ejpam-6545	81	10	)	)	PUNCT
ejpam-6545	81	11	)	)	PUNCT
ejpam-6545	81	12	dρ	dρ	ADP
ejpam-6545	81	13	>	>	X
ejpam-6545	81	14	1	1	NUM
ejpam-6545	81	15	,	,	PUNCT
ejpam-6545	81	16	for	for	ADP
ejpam-6545	81	17	η′	η′	X
ejpam-6545	81	18	>	>	X
ejpam-6545	81	19	0	0	NUM
ejpam-6545	81	20	,	,	PUNCT
ejpam-6545	81	21	or	or	CCONJ
ejpam-6545	81	22	lim	lim	PROPN
ejpam-6545	81	23	inf	inf	PROPN
ejpam-6545	81	24	s→∞	s→∞	NUM
ejpam-6545	81	25	∫	∫	PROPN
ejpam-6545	81	26	s	s	PART
ejpam-6545	81	27	η(s	η(s	PROPN
ejpam-6545	81	28	)	)	PUNCT
ejpam-6545	81	29	q	q	NOUN
ejpam-6545	82	1	(	(	PUNCT
ejpam-6545	82	2	ρ	ρ	PROPN
ejpam-6545	82	3	)	)	PUNCT
ejpam-6545	82	4	r̃κ	r̃κ	PROPN
ejpam-6545	82	5	(	(	PUNCT
ejpam-6545	82	6	η	η	PROPN
ejpam-6545	82	7	(	(	PUNCT
ejpam-6545	82	8	ρ	ρ	PROPN
ejpam-6545	82	9	)	)	PUNCT
ejpam-6545	82	10	)	)	PUNCT
ejpam-6545	83	1	dρ	dρ	ADP
ejpam-6545	83	2	>	>	X
ejpam-6545	83	3	1	1	NUM
ejpam-6545	83	4	e	e	NOUN
ejpam-6545	83	5	.	.	PUNCT
ejpam-6545	84	1	on	on	ADP
ejpam-6545	84	2	the	the	DET
ejpam-6545	84	3	other	other	ADJ
ejpam-6545	84	4	hand	hand	NOUN
ejpam-6545	84	5	,	,	PUNCT
ejpam-6545	84	6	baculikova	baculikova	NOUN
ejpam-6545	84	7	and	and	CCONJ
ejpam-6545	84	8	džurina	džurina	VERB
ejpam-6545	84	9	in	in	ADP
ejpam-6545	84	10	[	[	X
ejpam-6545	84	11	37	37	NUM
ejpam-6545	84	12	,	,	PUNCT
ejpam-6545	84	13	38	38	NUM
ejpam-6545	84	14	]	]	PUNCT
ejpam-6545	84	15	investigated	investigate	VERB
ejpam-6545	84	16	the	the	DET
ejpam-6545	84	17	second	second	ADJ
ejpam-6545	84	18	-	-	PUNCT
ejpam-6545	84	19	order	order	NOUN
ejpam-6545	84	20	emden	emden	NOUN
ejpam-6545	84	21	–	–	PUNCT
ejpam-6545	84	22	fowler	fowler	PROPN
ejpam-6545	84	23	ndde	ndde	PROPN
ejpam-6545	84	24	(	(	PUNCT
ejpam-6545	84	25	1	1	NUM
ejpam-6545	84	26	)	)	PUNCT
ejpam-6545	84	27	.	.	PUNCT
ejpam-6545	85	1	employing	employ	VERB
ejpam-6545	85	2	the	the	DET
ejpam-6545	85	3	comparison	comparison	NOUN
ejpam-6545	85	4	theorem	theorem	VERB
ejpam-6545	85	5	in	in	ADP
ejpam-6545	85	6	order	order	NOUN
ejpam-6545	85	7	to	to	PART
ejpam-6545	85	8	formulate	formulate	VERB
ejpam-6545	85	9	adequate	adequate	ADJ
ejpam-6545	85	10	criteria	criterion	NOUN
ejpam-6545	85	11	for	for	ADP
ejpam-6545	85	12	the	the	DET
ejpam-6545	85	13	oscillation	oscillation	NOUN
ejpam-6545	85	14	of	of	ADP
ejpam-6545	85	15	the	the	DET
ejpam-6545	85	16	solutions	solution	NOUN
ejpam-6545	85	17	to	to	ADP
ejpam-6545	85	18	(	(	PUNCT
ejpam-6545	85	19	1	1	X
ejpam-6545	85	20	)	)	PUNCT
ejpam-6545	85	21	when	when	SCONJ
ejpam-6545	85	22	κ	κ	NOUN
ejpam-6545	85	23	=	=	SYM
ejpam-6545	85	24	β	β	X
ejpam-6545	85	25	=	=	SYM
ejpam-6545	85	26	1	1	NUM
ejpam-6545	85	27	,	,	PUNCT
ejpam-6545	85	28	0	0	NUM
ejpam-6545	85	29	≤	≤	NOUN
ejpam-6545	86	1	p	p	X
ejpam-6545	86	2	<	<	X
ejpam-6545	86	3	∞	∞	PROPN
ejpam-6545	86	4	,	,	PUNCT
ejpam-6545	86	5	and	and	CCONJ
ejpam-6545	86	6	∫	∫	PROPN
ejpam-6545	86	7	∞	∞	PROPN
ejpam-6545	86	8	s0	s0	PROPN
ejpam-6545	86	9	r−1	r−1	PROPN
ejpam-6545	86	10	/	/	SYM
ejpam-6545	86	11	κ	κ	PROPN
ejpam-6545	86	12	(	(	PUNCT
ejpam-6545	86	13	ρ	ρ	NOUN
ejpam-6545	86	14	)	)	PUNCT
ejpam-6545	86	15	dρ	dρ	NOUN
ejpam-6545	86	16	=	=	SYM
ejpam-6545	86	17	∞.	∞.	PROPN
ejpam-6545	86	18	bohner	bohner	NOUN
ejpam-6545	86	19	et	et	PROPN
ejpam-6545	86	20	al	al	PROPN
ejpam-6545	86	21	.	.	PUNCT
ejpam-6545	87	1	[	[	X
ejpam-6545	87	2	39	39	NUM
ejpam-6545	87	3	]	]	PUNCT
ejpam-6545	87	4	considered	consider	VERB
ejpam-6545	87	5	the	the	DET
ejpam-6545	87	6	noncanonical	noncanonical	ADJ
ejpam-6545	87	7	case	case	NOUN
ejpam-6545	87	8	of	of	ADP
ejpam-6545	87	9	(	(	PUNCT
ejpam-6545	87	10	1	1	NUM
ejpam-6545	87	11	)	)	PUNCT
ejpam-6545	87	12	for	for	ADP
ejpam-6545	87	13	κ	κ	NOUN
ejpam-6545	87	14	=	=	SYM
ejpam-6545	87	15	β	β	X
ejpam-6545	87	16	and	and	CCONJ
ejpam-6545	87	17	0	0	NUM
ejpam-6545	87	18	≤	≤	NOUN
ejpam-6545	87	19	p	p	X
ejpam-6545	87	20	<	<	X
ejpam-6545	87	21	1	1	NUM
ejpam-6545	87	22	.	.	PUNCT
ejpam-6545	87	23	then	then	ADV
ejpam-6545	87	24	,	,	PUNCT
ejpam-6545	87	25	baculikova	baculikova	NOUN
ejpam-6545	87	26	and	and	CCONJ
ejpam-6545	87	27	dzurina	dzurina	VERB
ejpam-6545	88	1	[	[	X
ejpam-6545	88	2	40	40	NUM
ejpam-6545	88	3	]	]	PUNCT
ejpam-6545	88	4	extended	extend	VERB
ejpam-6545	88	5	the	the	DET
ejpam-6545	88	6	previous	previous	ADJ
ejpam-6545	88	7	results	result	NOUN
ejpam-6545	88	8	for	for	ADP
ejpam-6545	88	9	κ	κ	PROPN
ejpam-6545	88	10	≥	≥	PROPN
ejpam-6545	88	11	β	β	X
ejpam-6545	88	12	and	and	CCONJ
ejpam-6545	88	13	η	η	PROPN
ejpam-6545	88	14	,	,	PUNCT
ejpam-6545	88	15	τ	τ	PROPN
ejpam-6545	88	16	(	(	PUNCT
ejpam-6545	88	17	s	s	PROPN
ejpam-6545	88	18	)	)	PUNCT
ejpam-6545	88	19	>	>	X
ejpam-6545	88	20	0	0	NUM
ejpam-6545	89	1	of	of	ADP
ejpam-6545	89	2	(	(	PUNCT
ejpam-6545	89	3	1	1	NUM
ejpam-6545	89	4	)	)	PUNCT
ejpam-6545	89	5	.	.	PUNCT
ejpam-6545	90	1	liu	liu	PROPN
ejpam-6545	90	2	et	et	PROPN
ejpam-6545	90	3	al	al	PROPN
ejpam-6545	90	4	.	.	PUNCT
ejpam-6545	91	1	in	in	ADP
ejpam-6545	91	2	[	[	X
ejpam-6545	91	3	41	41	NUM
ejpam-6545	91	4	]	]	PUNCT
ejpam-6545	91	5	studied	study	VERB
ejpam-6545	91	6	(	(	PUNCT
ejpam-6545	91	7	1	1	NUM
ejpam-6545	91	8	)	)	PUNCT
ejpam-6545	91	9	by	by	ADP
ejpam-6545	91	10	applying	apply	VERB
ejpam-6545	91	11	the	the	DET
ejpam-6545	91	12	riccati	riccati	PROPN
ejpam-6545	91	13	technique	technique	NOUN
ejpam-6545	91	14	under	under	ADP
ejpam-6545	91	15	the	the	DET
ejpam-6545	91	16	conditions	condition	NOUN
ejpam-6545	91	17	κ	κ	X
ejpam-6545	91	18	≥	≥	PROPN
ejpam-6545	91	19	β	β	X
ejpam-6545	91	20	,	,	PUNCT
ejpam-6545	91	21	r′	r′	PROPN
ejpam-6545	91	22	(	(	PUNCT
ejpam-6545	91	23	s	s	NOUN
ejpam-6545	91	24	)	)	PUNCT
ejpam-6545	91	25	>	>	X
ejpam-6545	91	26	0	0	NUM
ejpam-6545	91	27	,	,	PUNCT
ejpam-6545	91	28	and	and	CCONJ
ejpam-6545	91	29	η′	η′	PROPN
ejpam-6545	91	30	(	(	PUNCT
ejpam-6545	91	31	s	s	NOUN
ejpam-6545	91	32	)	)	PUNCT
ejpam-6545	91	33	>	>	X
ejpam-6545	91	34	0	0	NUM
ejpam-6545	91	35	,	,	PUNCT
ejpam-6545	91	36	they	they	PRON
ejpam-6545	91	37	provided	provide	VERB
ejpam-6545	91	38	new	new	ADJ
ejpam-6545	91	39	oscillation	oscillation	NOUN
ejpam-6545	91	40	criteria	criterion	NOUN
ejpam-6545	91	41	for	for	ADP
ejpam-6545	91	42	(	(	PUNCT
ejpam-6545	91	43	1	1	NUM
ejpam-6545	91	44	)	)	PUNCT
ejpam-6545	91	45	for	for	ADP
ejpam-6545	91	46	both	both	CCONJ
ejpam-6545	91	47	canonical	canonical	ADJ
ejpam-6545	91	48	and	and	CCONJ
ejpam-6545	91	49	noncanonical	noncanonical	ADJ
ejpam-6545	91	50	cases	case	NOUN
ejpam-6545	91	51	.	.	PUNCT
ejpam-6545	92	1	s.	s.	PROPN
ejpam-6545	92	2	aloraini	aloraini	PROPN
ejpam-6545	92	3	,	,	PUNCT
ejpam-6545	92	4	a.	a.	PROPN
ejpam-6545	92	5	s.	s.	PROPN
ejpam-6545	92	6	almohaimeed	almohaimee	VERB
ejpam-6545	92	7	,	,	PUNCT
ejpam-6545	92	8	o.	o.	PROPN
ejpam-6545	92	9	moaaz	moaaz	PROPN
ejpam-6545	92	10	/	/	SYM
ejpam-6545	92	11	eur	eur	PROPN
ejpam-6545	92	12	.	.	PUNCT
ejpam-6545	93	1	j.	j.	PROPN
ejpam-6545	93	2	pure	pure	PROPN
ejpam-6545	93	3	appl	appl	PROPN
ejpam-6545	93	4	.	.	PROPN
ejpam-6545	93	5	math	math	PROPN
ejpam-6545	93	6	,	,	PUNCT
ejpam-6545	93	7	18	18	NUM
ejpam-6545	93	8	(	(	PUNCT
ejpam-6545	93	9	4	4	NUM
ejpam-6545	93	10	)	)	PUNCT
ejpam-6545	93	11	(	(	PUNCT
ejpam-6545	93	12	2025	2025	NUM
ejpam-6545	93	13	)	)	PUNCT
ejpam-6545	93	14	,	,	PUNCT
ejpam-6545	93	15	6545	6545	NUM
ejpam-6545	93	16	5	5	NUM
ejpam-6545	93	17	of	of	ADP
ejpam-6545	93	18	15	15	NUM
ejpam-6545	93	19	3	3	NUM
ejpam-6545	93	20	.	.	PUNCT
ejpam-6545	94	1	asymptotic	asymptotic	ADJ
ejpam-6545	94	2	and	and	CCONJ
ejpam-6545	94	3	monotonic	monotonic	ADJ
ejpam-6545	94	4	properties	property	NOUN
ejpam-6545	94	5	for	for	ADP
ejpam-6545	94	6	convenience	convenience	NOUN
ejpam-6545	94	7	,	,	PUNCT
ejpam-6545	94	8	we	we	PRON
ejpam-6545	94	9	define	define	VERB
ejpam-6545	94	10	the	the	DET
ejpam-6545	94	11	following	following	ADJ
ejpam-6545	94	12	notations	notation	NOUN
ejpam-6545	94	13	:	:	PUNCT
ejpam-6545	94	14	ϱ	ϱ	PROPN
ejpam-6545	94	15	(	(	PUNCT
ejpam-6545	94	16	s	s	NOUN
ejpam-6545	94	17	)	)	PUNCT
ejpam-6545	94	18	:	:	PUNCT
ejpam-6545	94	19	=	=	SYM
ejpam-6545	94	20	exp	exp	X
ejpam-6545	94	21	(	(	PUNCT
ejpam-6545	94	22	∫	∫	PROPN
ejpam-6545	94	23	s	s	PROPN
ejpam-6545	94	24	h	h	PROPN
ejpam-6545	94	25	(	(	PUNCT
ejpam-6545	94	26	ρ	ρ	NOUN
ejpam-6545	94	27	)	)	PUNCT
ejpam-6545	94	28	r	r	NOUN
ejpam-6545	94	29	(	(	PUNCT
ejpam-6545	94	30	ρ	ρ	NOUN
ejpam-6545	94	31	)	)	PUNCT
ejpam-6545	94	32	dρ	dρ	PROPN
ejpam-6545	94	33	)	)	PUNCT
ejpam-6545	94	34	,	,	PUNCT
ejpam-6545	94	35	η	η	PROPN
ejpam-6545	94	36	(	(	PUNCT
ejpam-6545	94	37	s	s	PROPN
ejpam-6545	94	38	)	)	PUNCT
ejpam-6545	94	39	:	:	PUNCT
ejpam-6545	94	40	=	=	SYM
ejpam-6545	94	41	min	min	X
ejpam-6545	94	42	{	{	PUNCT
ejpam-6545	94	43	ηi	ηi	X
ejpam-6545	94	44	(	(	PUNCT
ejpam-6545	94	45	s	s	NOUN
ejpam-6545	94	46	)	)	PUNCT
ejpam-6545	94	47	,	,	PUNCT
ejpam-6545	94	48	i	i	PRON
ejpam-6545	94	49	=	=	NOUN
ejpam-6545	94	50	1	1	NUM
ejpam-6545	94	51	,	,	PUNCT
ejpam-6545	94	52	2	2	NUM
ejpam-6545	94	53	,	,	PUNCT
ejpam-6545	94	54	...	...	PUNCT
ejpam-6545	94	55	,	,	PUNCT
ejpam-6545	94	56	n	n	CCONJ
ejpam-6545	94	57	}	}	PUNCT
ejpam-6545	94	58	,	,	PUNCT
ejpam-6545	94	59	q	q	X
ejpam-6545	94	60	(	(	PUNCT
ejpam-6545	94	61	s	s	NOUN
ejpam-6545	94	62	)	)	PUNCT
ejpam-6545	94	63	:	:	PUNCT
ejpam-6545	94	64	=	=	SYM
ejpam-6545	94	65	ϱ	ϱ	X
ejpam-6545	94	66	(	(	PUNCT
ejpam-6545	94	67	s	s	NOUN
ejpam-6545	94	68	)	)	PUNCT
ejpam-6545	94	69	n∑	n∑	PROPN
ejpam-6545	94	70	i=1	i=1	PROPN
ejpam-6545	94	71	qi	qi	PROPN
ejpam-6545	94	72	(	(	PUNCT
ejpam-6545	94	73	s	s	NOUN
ejpam-6545	94	74	)	)	PUNCT
ejpam-6545	94	75	(	(	PUNCT
ejpam-6545	94	76	1−	1−	NUM
ejpam-6545	94	77	p	p	NOUN
ejpam-6545	94	78	(	(	PUNCT
ejpam-6545	94	79	ηi	ηi	PROPN
ejpam-6545	94	80	(	(	PUNCT
ejpam-6545	94	81	s	s	NOUN
ejpam-6545	94	82	)	)	PUNCT
ejpam-6545	94	83	)	)	PUNCT
ejpam-6545	94	84	)	)	PUNCT
ejpam-6545	94	85	κ	κ	NOUN
ejpam-6545	94	86	,	,	PUNCT
ejpam-6545	94	87	r	r	NOUN
ejpam-6545	94	88	(	(	PUNCT
ejpam-6545	94	89	s	s	NOUN
ejpam-6545	94	90	)	)	PUNCT
ejpam-6545	94	91	:	:	PUNCT
ejpam-6545	94	92	=	=	PUNCT
ejpam-6545	94	93	∫	∫	PROPN
ejpam-6545	94	94	s	s	PART
ejpam-6545	94	95	s1	s1	PROPN
ejpam-6545	94	96	1	1	NUM
ejpam-6545	94	97	ϱ1	ϱ1	NOUN
ejpam-6545	94	98	/	/	SYM
ejpam-6545	94	99	κ	κ	X
ejpam-6545	94	100	(	(	PUNCT
ejpam-6545	94	101	ρ	ρ	NOUN
ejpam-6545	94	102	)	)	PUNCT
ejpam-6545	94	103	r1	r1	PROPN
ejpam-6545	94	104	/	/	SYM
ejpam-6545	94	105	κ	κ	PROPN
ejpam-6545	94	106	(	(	PUNCT
ejpam-6545	94	107	ρ	ρ	NOUN
ejpam-6545	94	108	)	)	PUNCT
ejpam-6545	94	109	dρ	dρ	PROPN
ejpam-6545	94	110	,	,	PUNCT
ejpam-6545	94	111	the	the	DET
ejpam-6545	94	112	following	follow	VERB
ejpam-6545	94	113	lemmas	lemma	NOUN
ejpam-6545	94	114	provide	provide	VERB
ejpam-6545	94	115	some	some	DET
ejpam-6545	94	116	asymptotic	asymptotic	ADJ
ejpam-6545	94	117	and	and	CCONJ
ejpam-6545	94	118	monotonic	monotonic	ADJ
ejpam-6545	94	119	properties	property	NOUN
ejpam-6545	94	120	of	of	ADP
ejpam-6545	94	121	the	the	DET
ejpam-6545	94	122	corresponding	corresponding	ADJ
ejpam-6545	94	123	function	function	NOUN
ejpam-6545	94	124	to	to	ADP
ejpam-6545	94	125	positive	positive	ADJ
ejpam-6545	94	126	solutions	solution	NOUN
ejpam-6545	94	127	.	.	PUNCT
ejpam-6545	95	1	they	they	PRON
ejpam-6545	95	2	also	also	ADV
ejpam-6545	95	3	provide	provide	VERB
ejpam-6545	95	4	the	the	DET
ejpam-6545	95	5	necessary	necessary	ADJ
ejpam-6545	95	6	relationships	relationship	NOUN
ejpam-6545	95	7	for	for	ADP
ejpam-6545	95	8	proving	prove	VERB
ejpam-6545	95	9	oscillation	oscillation	NOUN
ejpam-6545	95	10	theorems	theorem	NOUN
ejpam-6545	95	11	.	.	PUNCT
ejpam-6545	96	1	lemma	lemma	PROPN
ejpam-6545	96	2	1	1	X
ejpam-6545	96	3	.	.	PUNCT
ejpam-6545	96	4	grant	grant	VERB
ejpam-6545	96	5	that	that	SCONJ
ejpam-6545	96	6	x	x	PRON
ejpam-6545	96	7	is	be	AUX
ejpam-6545	96	8	a	a	DET
ejpam-6545	96	9	positive	positive	ADJ
ejpam-6545	96	10	solution	solution	NOUN
ejpam-6545	96	11	to	to	ADP
ejpam-6545	96	12	(	(	PUNCT
ejpam-6545	96	13	1	1	NUM
ejpam-6545	96	14	)	)	PUNCT
ejpam-6545	96	15	.	.	PUNCT
ejpam-6545	97	1	hence	hence	ADV
ejpam-6545	97	2	,	,	PUNCT
ejpam-6545	97	3	eventually	eventually	ADV
ejpam-6545	97	4	,	,	PUNCT
ejpam-6545	97	5	z(s	z(s	PROPN
ejpam-6545	97	6	)	)	PUNCT
ejpam-6545	97	7	>	>	X
ejpam-6545	97	8	0	0	NUM
ejpam-6545	97	9	,	,	PUNCT
ejpam-6545	97	10	z′(s	z′(s	PROPN
ejpam-6545	97	11	)	)	PUNCT
ejpam-6545	97	12	>	>	X
ejpam-6545	97	13	0	0	NUM
ejpam-6545	97	14	,	,	PUNCT
ejpam-6545	97	15	(	(	PUNCT
ejpam-6545	97	16	r	r	NOUN
ejpam-6545	97	17	(	(	PUNCT
ejpam-6545	97	18	s	s	NOUN
ejpam-6545	97	19	)	)	PUNCT
ejpam-6545	97	20	(	(	PUNCT
ejpam-6545	97	21	z′	z′	NUM
ejpam-6545	97	22	(	(	PUNCT
ejpam-6545	97	23	s	s	NOUN
ejpam-6545	97	24	)	)	PUNCT
ejpam-6545	97	25	)	)	PUNCT
ejpam-6545	97	26	κ	κ	X
ejpam-6545	97	27	)	)	PUNCT
ejpam-6545	97	28	′	′	NUM
ejpam-6545	97	29	≤	≤	NUM
ejpam-6545	97	30	0	0	NUM
ejpam-6545	97	31	,	,	PUNCT
ejpam-6545	97	32	(	(	PUNCT
ejpam-6545	97	33	6	6	NUM
ejpam-6545	97	34	)	)	PUNCT
ejpam-6545	97	35	and	and	CCONJ
ejpam-6545	97	36	[	[	PUNCT
ejpam-6545	97	37	ϱ	ϱ	PROPN
ejpam-6545	97	38	(	(	PUNCT
ejpam-6545	97	39	s	s	NOUN
ejpam-6545	97	40	)	)	PUNCT
ejpam-6545	97	41	r	r	NOUN
ejpam-6545	97	42	(	(	PUNCT
ejpam-6545	97	43	s	s	NOUN
ejpam-6545	97	44	)	)	PUNCT
ejpam-6545	97	45	(	(	PUNCT
ejpam-6545	97	46	z′	z′	NUM
ejpam-6545	97	47	(	(	PUNCT
ejpam-6545	97	48	s	s	NOUN
ejpam-6545	97	49	)	)	PUNCT
ejpam-6545	97	50	)	)	PUNCT
ejpam-6545	98	1	κ]′	κ]′	PROPN
ejpam-6545	99	1	+	+	CCONJ
ejpam-6545	99	2	ϱ	ϱ	PROPN
ejpam-6545	99	3	(	(	PUNCT
ejpam-6545	99	4	s	s	NOUN
ejpam-6545	99	5	)	)	PUNCT
ejpam-6545	99	6	n∑	n∑	PROPN
ejpam-6545	99	7	i=1	i=1	PROPN
ejpam-6545	100	1	qi	qi	PROPN
ejpam-6545	100	2	(	(	PUNCT
ejpam-6545	100	3	s)x	s)x	NOUN
ejpam-6545	100	4	κ	κ	NOUN
ejpam-6545	100	5	(	(	PUNCT
ejpam-6545	100	6	ηi	ηi	X
ejpam-6545	100	7	(	(	PUNCT
ejpam-6545	100	8	s	s	NOUN
ejpam-6545	100	9	)	)	PUNCT
ejpam-6545	100	10	)	)	PUNCT
ejpam-6545	100	11	≤	≤	ADV
ejpam-6545	100	12	0	0	NUM
ejpam-6545	100	13	.	.	PUNCT
ejpam-6545	101	1	(	(	PUNCT
ejpam-6545	101	2	7	7	X
ejpam-6545	101	3	)	)	PUNCT
ejpam-6545	101	4	proof	proof	NOUN
ejpam-6545	101	5	.	.	PUNCT
ejpam-6545	102	1	presume	presume	VERB
ejpam-6545	102	2	that	that	SCONJ
ejpam-6545	102	3	x	x	PRON
ejpam-6545	102	4	is	be	AUX
ejpam-6545	102	5	a	a	DET
ejpam-6545	102	6	positive	positive	ADJ
ejpam-6545	102	7	solution	solution	NOUN
ejpam-6545	102	8	to	to	ADP
ejpam-6545	102	9	(	(	PUNCT
ejpam-6545	102	10	1	1	NUM
ejpam-6545	102	11	)	)	PUNCT
ejpam-6545	102	12	.	.	PUNCT
ejpam-6545	103	1	equation	equation	NOUN
ejpam-6545	103	2	(	(	PUNCT
ejpam-6545	103	3	1	1	X
ejpam-6545	103	4	)	)	PUNCT
ejpam-6545	103	5	transforms	transform	VERB
ejpam-6545	103	6	into	into	ADP
ejpam-6545	103	7	1	1	NUM
ejpam-6545	103	8	ϱ	ϱ	X
ejpam-6545	103	9	(	(	PUNCT
ejpam-6545	103	10	s	s	NOUN
ejpam-6545	103	11	)	)	PUNCT
ejpam-6545	103	12	[	[	PUNCT
ejpam-6545	103	13	ϱ	ϱ	X
ejpam-6545	103	14	(	(	PUNCT
ejpam-6545	103	15	s	s	NOUN
ejpam-6545	103	16	)	)	PUNCT
ejpam-6545	103	17	r	r	NOUN
ejpam-6545	103	18	(	(	PUNCT
ejpam-6545	103	19	s	s	NOUN
ejpam-6545	103	20	)	)	PUNCT
ejpam-6545	103	21	(	(	PUNCT
ejpam-6545	103	22	z′	z′	NUM
ejpam-6545	103	23	(	(	PUNCT
ejpam-6545	103	24	s	s	NOUN
ejpam-6545	103	25	)	)	PUNCT
ejpam-6545	103	26	)	)	PUNCT
ejpam-6545	104	1	κ]′	κ]′	PROPN
ejpam-6545	104	2	=	=	PUNCT
ejpam-6545	105	1	(	(	PUNCT
ejpam-6545	105	2	r	r	X
ejpam-6545	105	3	(	(	PUNCT
ejpam-6545	105	4	s	s	NOUN
ejpam-6545	105	5	)	)	PUNCT
ejpam-6545	105	6	(	(	PUNCT
ejpam-6545	105	7	z′	z′	NUM
ejpam-6545	105	8	(	(	PUNCT
ejpam-6545	105	9	s	s	NOUN
ejpam-6545	105	10	)	)	PUNCT
ejpam-6545	105	11	)	)	PUNCT
ejpam-6545	106	1	κ)′	κ)′	PROPN
ejpam-6545	107	1	+	+	NUM
ejpam-6545	107	2	h	h	PROPN
ejpam-6545	107	3	(	(	PUNCT
ejpam-6545	107	4	s	s	NOUN
ejpam-6545	107	5	)	)	PUNCT
ejpam-6545	107	6	(	(	PUNCT
ejpam-6545	107	7	z′	z′	NUM
ejpam-6545	107	8	(	(	PUNCT
ejpam-6545	107	9	s	s	NOUN
ejpam-6545	107	10	)	)	PUNCT
ejpam-6545	107	11	)	)	PUNCT
ejpam-6545	107	12	κ	κ	X
ejpam-6545	107	13	=	=	PUNCT
ejpam-6545	108	1	−	−	PROPN
ejpam-6545	108	2	n∑	n∑	PROPN
ejpam-6545	108	3	i=1	i=1	PROPN
ejpam-6545	108	4	qi	qi	PROPN
ejpam-6545	108	5	(	(	PUNCT
ejpam-6545	108	6	s)x	s)x	NOUN
ejpam-6545	108	7	κ	κ	NOUN
ejpam-6545	108	8	(	(	PUNCT
ejpam-6545	108	9	ηi	ηi	X
ejpam-6545	108	10	(	(	PUNCT
ejpam-6545	108	11	s	s	NOUN
ejpam-6545	108	12	)	)	PUNCT
ejpam-6545	108	13	)	)	PUNCT
ejpam-6545	108	14	,	,	PUNCT
ejpam-6545	108	15	or	or	CCONJ
ejpam-6545	108	16	[	[	PUNCT
ejpam-6545	108	17	ϱ	ϱ	PROPN
ejpam-6545	108	18	(	(	PUNCT
ejpam-6545	108	19	s	s	NOUN
ejpam-6545	108	20	)	)	PUNCT
ejpam-6545	108	21	r	r	NOUN
ejpam-6545	108	22	(	(	PUNCT
ejpam-6545	108	23	s	s	NOUN
ejpam-6545	108	24	)	)	PUNCT
ejpam-6545	108	25	(	(	PUNCT
ejpam-6545	108	26	z′	z′	NUM
ejpam-6545	108	27	(	(	PUNCT
ejpam-6545	108	28	s	s	NOUN
ejpam-6545	108	29	)	)	PUNCT
ejpam-6545	108	30	)	)	PUNCT
ejpam-6545	109	1	κ]′	κ]′	PROPN
ejpam-6545	109	2	≤	≤	ADJ
ejpam-6545	109	3	−ϱ	−ϱ	NOUN
ejpam-6545	109	4	(	(	PUNCT
ejpam-6545	109	5	s	s	NOUN
ejpam-6545	109	6	)	)	PUNCT
ejpam-6545	109	7	n∑	n∑	PROPN
ejpam-6545	109	8	i=1	i=1	PROPN
ejpam-6545	110	1	qi	qi	PROPN
ejpam-6545	110	2	(	(	PUNCT
ejpam-6545	110	3	s)x	s)x	NOUN
ejpam-6545	110	4	κ	κ	NOUN
ejpam-6545	110	5	(	(	PUNCT
ejpam-6545	110	6	ηi	ηi	X
ejpam-6545	110	7	(	(	PUNCT
ejpam-6545	110	8	s	s	NOUN
ejpam-6545	110	9	)	)	PUNCT
ejpam-6545	110	10	)	)	PUNCT
ejpam-6545	110	11	≤	≤	NUM
ejpam-6545	110	12	0	0	X
ejpam-6545	110	13	.	.	PUNCT
ejpam-6545	111	1	so	so	ADV
ejpam-6545	111	2	,	,	PUNCT
ejpam-6545	111	3	r	r	NOUN
ejpam-6545	111	4	(	(	PUNCT
ejpam-6545	111	5	z′)κ	z′)κ	PROPN
ejpam-6545	111	6	is	be	AUX
ejpam-6545	111	7	a	a	DET
ejpam-6545	111	8	non	non	ADJ
ejpam-6545	111	9	-	-	ADJ
ejpam-6545	111	10	increasing	increasing	ADJ
ejpam-6545	111	11	function	function	NOUN
ejpam-6545	111	12	,	,	PUNCT
ejpam-6545	111	13	and	and	CCONJ
ejpam-6545	111	14	either	either	CCONJ
ejpam-6545	111	15	z′	z′	NUM
ejpam-6545	111	16	(	(	PUNCT
ejpam-6545	111	17	s	s	NOUN
ejpam-6545	111	18	)	)	PUNCT
ejpam-6545	111	19	>	>	PUNCT
ejpam-6545	111	20	0	0	PUNCT
ejpam-6545	111	21	or	or	CCONJ
ejpam-6545	111	22	z′	z′	NUM
ejpam-6545	111	23	(	(	PUNCT
ejpam-6545	111	24	s	s	NOUN
ejpam-6545	111	25	)	)	PUNCT
ejpam-6545	111	26	<	<	X
ejpam-6545	111	27	0	0	NUM
ejpam-6545	111	28	,	,	PUNCT
ejpam-6545	111	29	eventually	eventually	ADV
ejpam-6545	111	30	.	.	PUNCT
ejpam-6545	112	1	grant	grant	VERB
ejpam-6545	112	2	that	that	SCONJ
ejpam-6545	112	3	z′	z′	NUM
ejpam-6545	112	4	(	(	PUNCT
ejpam-6545	112	5	s	s	NOUN
ejpam-6545	112	6	)	)	PUNCT
ejpam-6545	112	7	<	<	X
ejpam-6545	112	8	0	0	NUM
ejpam-6545	112	9	for	for	ADP
ejpam-6545	112	10	s	s	PROPN
ejpam-6545	112	11	≥	≥	NOUN
ejpam-6545	112	12	s1	s1	NOUN
ejpam-6545	112	13	.	.	PUNCT
ejpam-6545	113	1	then	then	ADV
ejpam-6545	113	2	,	,	PUNCT
ejpam-6545	113	3	there	there	PRON
ejpam-6545	113	4	is	be	VERB
ejpam-6545	113	5	a	a	DET
ejpam-6545	113	6	k1	k1	NOUN
ejpam-6545	113	7	>	>	X
ejpam-6545	113	8	0	0	NUM
ejpam-6545	113	9	such	such	ADJ
ejpam-6545	113	10	that	that	SCONJ
ejpam-6545	113	11	ϱ	ϱ	PROPN
ejpam-6545	113	12	(	(	PUNCT
ejpam-6545	113	13	s	s	NOUN
ejpam-6545	113	14	)	)	PUNCT
ejpam-6545	113	15	r	r	NOUN
ejpam-6545	113	16	(	(	PUNCT
ejpam-6545	113	17	s	s	NOUN
ejpam-6545	113	18	)	)	PUNCT
ejpam-6545	113	19	(	(	PUNCT
ejpam-6545	113	20	z′	z′	NUM
ejpam-6545	113	21	(	(	PUNCT
ejpam-6545	113	22	s	s	NOUN
ejpam-6545	113	23	)	)	PUNCT
ejpam-6545	113	24	)	)	PUNCT
ejpam-6545	113	25	κ	κ	PROPN
ejpam-6545	113	26	≤	≤	NUM
ejpam-6545	113	27	−k1	−k1	NOUN
ejpam-6545	113	28	,	,	PUNCT
ejpam-6545	113	29	and	and	CCONJ
ejpam-6545	113	30	thus	thus	ADV
ejpam-6545	113	31	,	,	PUNCT
ejpam-6545	113	32	z′	z′	NUM
ejpam-6545	113	33	(	(	PUNCT
ejpam-6545	113	34	s	s	NOUN
ejpam-6545	113	35	)	)	PUNCT
ejpam-6545	113	36	≤	≤	NOUN
ejpam-6545	113	37	−k	−k	PROPN
ejpam-6545	113	38	1	1	NUM
ejpam-6545	113	39	/	/	SYM
ejpam-6545	113	40	κ	κ	NOUN
ejpam-6545	113	41	1	1	NUM
ejpam-6545	113	42	1	1	NUM
ejpam-6545	113	43	ϱ1	ϱ1	NOUN
ejpam-6545	113	44	/	/	SYM
ejpam-6545	113	45	κ	κ	X
ejpam-6545	113	46	(	(	PUNCT
ejpam-6545	113	47	s	s	NOUN
ejpam-6545	113	48	)	)	PUNCT
ejpam-6545	113	49	r1	r1	PROPN
ejpam-6545	113	50	/	/	SYM
ejpam-6545	113	51	κ	κ	X
ejpam-6545	113	52	(	(	PUNCT
ejpam-6545	113	53	s	s	NOUN
ejpam-6545	113	54	)	)	PUNCT
ejpam-6545	113	55	.	.	PUNCT
ejpam-6545	114	1	(	(	PUNCT
ejpam-6545	114	2	8)	8)	NUM
ejpam-6545	114	3	s.	s.	PROPN
ejpam-6545	114	4	aloraini	aloraini	PROPN
ejpam-6545	114	5	,	,	PUNCT
ejpam-6545	114	6	a.	a.	PROPN
ejpam-6545	114	7	s.	s.	PROPN
ejpam-6545	114	8	almohaimeed	almohaimee	VERB
ejpam-6545	114	9	,	,	PUNCT
ejpam-6545	114	10	o.	o.	PROPN
ejpam-6545	114	11	moaaz	moaaz	PROPN
ejpam-6545	114	12	/	/	SYM
ejpam-6545	114	13	eur	eur	PROPN
ejpam-6545	114	14	.	.	PUNCT
ejpam-6545	115	1	j.	j.	PROPN
ejpam-6545	115	2	pure	pure	PROPN
ejpam-6545	115	3	appl	appl	PROPN
ejpam-6545	115	4	.	.	PROPN
ejpam-6545	115	5	math	math	PROPN
ejpam-6545	115	6	,	,	PUNCT
ejpam-6545	115	7	18	18	NUM
ejpam-6545	115	8	(	(	PUNCT
ejpam-6545	115	9	4	4	NUM
ejpam-6545	115	10	)	)	PUNCT
ejpam-6545	115	11	(	(	PUNCT
ejpam-6545	115	12	2025	2025	NUM
ejpam-6545	115	13	)	)	PUNCT
ejpam-6545	115	14	,	,	PUNCT
ejpam-6545	115	15	6545	6545	NUM
ejpam-6545	115	16	6	6	NUM
ejpam-6545	115	17	of	of	ADP
ejpam-6545	115	18	15	15	NUM
ejpam-6545	115	19	integrating	integrating	NOUN
ejpam-6545	115	20	(	(	PUNCT
ejpam-6545	115	21	8)	8)	NUM
ejpam-6545	115	22	over	over	ADP
ejpam-6545	115	23	[	[	X
ejpam-6545	115	24	s1	s1	NOUN
ejpam-6545	115	25	,	,	PUNCT
ejpam-6545	115	26	s	s	PART
ejpam-6545	115	27	]	]	X
ejpam-6545	115	28	,	,	PUNCT
ejpam-6545	115	29	we	we	PRON
ejpam-6545	115	30	arrive	arrive	VERB
ejpam-6545	115	31	at	at	ADP
ejpam-6545	115	32	z	z	PROPN
ejpam-6545	115	33	(	(	PUNCT
ejpam-6545	115	34	s)−	s)−	PROPN
ejpam-6545	115	35	z	z	PROPN
ejpam-6545	115	36	(	(	PUNCT
ejpam-6545	115	37	s1	s1	PROPN
ejpam-6545	115	38	)	)	PUNCT
ejpam-6545	115	39	≤	≤	NOUN
ejpam-6545	115	40	−k	−k	PROPN
ejpam-6545	115	41	1	1	NUM
ejpam-6545	115	42	/	/	SYM
ejpam-6545	115	43	κ	κ	PRON
ejpam-6545	115	44	1	1	NUM
ejpam-6545	115	45	∫	∫	NOUN
ejpam-6545	115	46	s	s	PART
ejpam-6545	115	47	s1	s1	PROPN
ejpam-6545	115	48	1	1	NUM
ejpam-6545	115	49	ϱ1	ϱ1	NOUN
ejpam-6545	115	50	/	/	SYM
ejpam-6545	115	51	κ	κ	X
ejpam-6545	115	52	(	(	PUNCT
ejpam-6545	115	53	ρ	ρ	NOUN
ejpam-6545	115	54	)	)	PUNCT
ejpam-6545	115	55	r1	r1	PROPN
ejpam-6545	115	56	/	/	SYM
ejpam-6545	115	57	κ	κ	PROPN
ejpam-6545	115	58	(	(	PUNCT
ejpam-6545	115	59	ρ	ρ	NOUN
ejpam-6545	115	60	)	)	PUNCT
ejpam-6545	115	61	dρ	dρ	NOUN
ejpam-6545	115	62	.	.	PUNCT
ejpam-6545	116	1	hence	hence	ADV
ejpam-6545	116	2	,	,	PUNCT
ejpam-6545	116	3	using	use	VERB
ejpam-6545	116	4	(	(	PUNCT
ejpam-6545	116	5	2	2	NUM
ejpam-6545	116	6	)	)	PUNCT
ejpam-6545	116	7	,	,	PUNCT
ejpam-6545	116	8	we	we	PRON
ejpam-6545	116	9	obtain	obtain	VERB
ejpam-6545	116	10	lims→∞	lims→∞	PROPN
ejpam-6545	116	11	z	z	NOUN
ejpam-6545	116	12	(	(	PUNCT
ejpam-6545	116	13	s	s	X
ejpam-6545	116	14	)	)	PUNCT
ejpam-6545	116	15	=	=	SYM
ejpam-6545	116	16	−∞	−∞	NOUN
ejpam-6545	116	17	,	,	PUNCT
ejpam-6545	116	18	a	a	DET
ejpam-6545	116	19	contradiction	contradiction	NOUN
ejpam-6545	116	20	.	.	PUNCT
ejpam-6545	117	1	so	so	ADV
ejpam-6545	117	2	,	,	PUNCT
ejpam-6545	117	3	z′	z′	NUM
ejpam-6545	117	4	(	(	PUNCT
ejpam-6545	117	5	s	s	NOUN
ejpam-6545	117	6	)	)	PUNCT
ejpam-6545	117	7	>	>	X
ejpam-6545	117	8	0	0	NUM
ejpam-6545	117	9	,	,	PUNCT
ejpam-6545	117	10	eventually	eventually	ADV
ejpam-6545	117	11	.	.	PUNCT
ejpam-6545	118	1	lemma	lemma	PROPN
ejpam-6545	118	2	2	2	X
ejpam-6545	118	3	.	.	X
ejpam-6545	118	4	presume	presume	VERB
ejpam-6545	118	5	that	that	SCONJ
ejpam-6545	118	6	x	x	PRON
ejpam-6545	118	7	is	be	AUX
ejpam-6545	118	8	a	a	DET
ejpam-6545	118	9	positive	positive	ADJ
ejpam-6545	118	10	solution	solution	NOUN
ejpam-6545	118	11	to	to	ADP
ejpam-6545	118	12	(	(	PUNCT
ejpam-6545	118	13	1	1	NUM
ejpam-6545	118	14	)	)	PUNCT
ejpam-6545	118	15	.	.	PUNCT
ejpam-6545	119	1	therefore	therefore	ADV
ejpam-6545	119	2	the	the	DET
ejpam-6545	119	3	following	follow	VERB
ejpam-6545	119	4	relations	relation	NOUN
ejpam-6545	119	5	hold	hold	VERB
ejpam-6545	119	6	eventually	eventually	ADV
ejpam-6545	119	7	:	:	PUNCT
ejpam-6545	119	8	(	(	PUNCT
ejpam-6545	119	9	p1	p1	NOUN
ejpam-6545	119	10	)	)	PUNCT
ejpam-6545	119	11	x	x	X
ejpam-6545	119	12	(	(	PUNCT
ejpam-6545	119	13	s	s	NOUN
ejpam-6545	119	14	)	)	PUNCT
ejpam-6545	119	15	≥	≥	NOUN
ejpam-6545	119	16	(	(	PUNCT
ejpam-6545	119	17	1−	1−	NUM
ejpam-6545	119	18	p	p	X
ejpam-6545	119	19	(	(	PUNCT
ejpam-6545	119	20	s	s	NOUN
ejpam-6545	119	21	)	)	PUNCT
ejpam-6545	119	22	)	)	PUNCT
ejpam-6545	120	1	z	z	NOUN
ejpam-6545	120	2	(	(	PUNCT
ejpam-6545	120	3	s	s	NOUN
ejpam-6545	120	4	)	)	PUNCT
ejpam-6545	120	5	;	;	PUNCT
ejpam-6545	120	6	(	(	PUNCT
ejpam-6545	120	7	p2	p2	X
ejpam-6545	120	8	)	)	PUNCT
ejpam-6545	121	1	[	[	X
ejpam-6545	121	2	ϱ	ϱ	X
ejpam-6545	121	3	(	(	PUNCT
ejpam-6545	121	4	s	s	NOUN
ejpam-6545	121	5	)	)	PUNCT
ejpam-6545	121	6	r	r	NOUN
ejpam-6545	121	7	(	(	PUNCT
ejpam-6545	121	8	s	s	NOUN
ejpam-6545	121	9	)	)	PUNCT
ejpam-6545	121	10	(	(	PUNCT
ejpam-6545	121	11	z	z	NOUN
ejpam-6545	121	12	′	′	NUM
ejpam-6545	121	13	(	(	PUNCT
ejpam-6545	121	14	s))κ	s))κ	PROPN
ejpam-6545	121	15	]	]	PUNCT
ejpam-6545	121	16	′	′	NUM
ejpam-6545	122	1	+	+	NOUN
ejpam-6545	122	2	q	q	X
ejpam-6545	122	3	(	(	PUNCT
ejpam-6545	122	4	s	s	X
ejpam-6545	122	5	)	)	PUNCT
ejpam-6545	122	6	zκ	zκ	PROPN
ejpam-6545	122	7	(	(	PUNCT
ejpam-6545	122	8	η	η	PROPN
ejpam-6545	122	9	(	(	PUNCT
ejpam-6545	122	10	s	s	NOUN
ejpam-6545	122	11	)	)	PUNCT
ejpam-6545	122	12	)	)	PUNCT
ejpam-6545	122	13	≤	≤	ADV
ejpam-6545	122	14	0	0	NUM
ejpam-6545	122	15	;	;	PUNCT
ejpam-6545	122	16	(	(	PUNCT
ejpam-6545	122	17	p3	p3	NOUN
ejpam-6545	122	18	)	)	PUNCT
ejpam-6545	122	19	z	z	NOUN
ejpam-6545	122	20	(	(	PUNCT
ejpam-6545	122	21	s	s	NOUN
ejpam-6545	122	22	)	)	PUNCT
ejpam-6545	122	23	≥	≥	NOUN
ejpam-6545	122	24	ϱ1	ϱ1	NOUN
ejpam-6545	122	25	/	/	SYM
ejpam-6545	122	26	κ	κ	X
ejpam-6545	122	27	(	(	PUNCT
ejpam-6545	122	28	s	s	NOUN
ejpam-6545	122	29	)	)	PUNCT
ejpam-6545	122	30	r1	r1	PROPN
ejpam-6545	122	31	/	/	SYM
ejpam-6545	122	32	κ	κ	X
ejpam-6545	122	33	(	(	PUNCT
ejpam-6545	122	34	s	s	NOUN
ejpam-6545	122	35	)	)	PUNCT
ejpam-6545	122	36	z′	z′	NUM
ejpam-6545	122	37	(	(	PUNCT
ejpam-6545	122	38	s)r	s)r	NOUN
ejpam-6545	122	39	(	(	PUNCT
ejpam-6545	122	40	s	s	X
ejpam-6545	122	41	)	)	PUNCT
ejpam-6545	122	42	;	;	PUNCT
ejpam-6545	122	43	(	(	PUNCT
ejpam-6545	122	44	p4	p4	ADJ
ejpam-6545	122	45	)	)	PUNCT
ejpam-6545	122	46	z	z	NOUN
ejpam-6545	122	47	(	(	PUNCT
ejpam-6545	122	48	s	s	NOUN
ejpam-6545	122	49	)	)	PUNCT
ejpam-6545	122	50	/r	/r	PUNCT
ejpam-6545	123	1	(	(	PUNCT
ejpam-6545	123	2	s	s	X
ejpam-6545	123	3	)	)	PUNCT
ejpam-6545	123	4	is	be	AUX
ejpam-6545	123	5	non	non	ADJ
ejpam-6545	123	6	-	-	ADJ
ejpam-6545	123	7	increasing	increasing	ADJ
ejpam-6545	123	8	function	function	NOUN
ejpam-6545	123	9	.	.	PUNCT
ejpam-6545	124	1	proof	proof	NOUN
ejpam-6545	124	2	.	.	PUNCT
ejpam-6545	125	1	grant	grant	VERB
ejpam-6545	125	2	that	that	SCONJ
ejpam-6545	125	3	x	x	PRON
ejpam-6545	125	4	is	be	AUX
ejpam-6545	125	5	a	a	DET
ejpam-6545	125	6	positive	positive	ADJ
ejpam-6545	125	7	solution	solution	NOUN
ejpam-6545	125	8	to	to	ADP
ejpam-6545	125	9	(	(	PUNCT
ejpam-6545	125	10	1	1	NUM
ejpam-6545	125	11	)	)	PUNCT
ejpam-6545	125	12	.	.	PUNCT
ejpam-6545	126	1	based	base	VERB
ejpam-6545	126	2	on	on	ADP
ejpam-6545	126	3	the	the	DET
ejpam-6545	126	4	definition	definition	NOUN
ejpam-6545	126	5	of	of	ADP
ejpam-6545	126	6	z	z	PROPN
ejpam-6545	126	7	,	,	PUNCT
ejpam-6545	126	8	we	we	PRON
ejpam-6545	126	9	get	get	VERB
ejpam-6545	126	10	x	x	X
ejpam-6545	126	11	(	(	PUNCT
ejpam-6545	126	12	s	s	NOUN
ejpam-6545	126	13	)	)	PUNCT
ejpam-6545	126	14	≥	≥	NOUN
ejpam-6545	126	15	z	z	NOUN
ejpam-6545	126	16	(	(	PUNCT
ejpam-6545	126	17	s)−	s)−	PROPN
ejpam-6545	126	18	p	p	X
ejpam-6545	126	19	(	(	PUNCT
ejpam-6545	126	20	s	s	NOUN
ejpam-6545	126	21	)	)	PUNCT
ejpam-6545	126	22	z	z	NOUN
ejpam-6545	126	23	(	(	PUNCT
ejpam-6545	126	24	τ	τ	X
ejpam-6545	126	25	(	(	PUNCT
ejpam-6545	126	26	s	s	NOUN
ejpam-6545	126	27	)	)	PUNCT
ejpam-6545	126	28	)	)	PUNCT
ejpam-6545	126	29	≥	≥	NOUN
ejpam-6545	126	30	(	(	PUNCT
ejpam-6545	126	31	1−	1−	NUM
ejpam-6545	126	32	p	p	X
ejpam-6545	126	33	(	(	PUNCT
ejpam-6545	126	34	s	s	NOUN
ejpam-6545	126	35	)	)	PUNCT
ejpam-6545	126	36	)	)	PUNCT
ejpam-6545	127	1	z	z	NOUN
ejpam-6545	127	2	(	(	PUNCT
ejpam-6545	127	3	s	s	NOUN
ejpam-6545	127	4	)	)	PUNCT
ejpam-6545	127	5	.	.	PUNCT
ejpam-6545	128	1	combined	combine	VERB
ejpam-6545	128	2	this	this	PRON
ejpam-6545	128	3	with	with	ADP
ejpam-6545	128	4	(	(	PUNCT
ejpam-6545	128	5	7	7	NUM
ejpam-6545	128	6	)	)	PUNCT
ejpam-6545	128	7	,	,	PUNCT
ejpam-6545	128	8	we	we	PRON
ejpam-6545	128	9	obtain	obtain	VERB
ejpam-6545	128	10	[	[	PUNCT
ejpam-6545	128	11	ϱ	ϱ	X
ejpam-6545	128	12	(	(	PUNCT
ejpam-6545	128	13	s	s	NOUN
ejpam-6545	128	14	)	)	PUNCT
ejpam-6545	128	15	r	r	NOUN
ejpam-6545	128	16	(	(	PUNCT
ejpam-6545	128	17	s	s	NOUN
ejpam-6545	128	18	)	)	PUNCT
ejpam-6545	128	19	(	(	PUNCT
ejpam-6545	128	20	z′	z′	NUM
ejpam-6545	128	21	(	(	PUNCT
ejpam-6545	128	22	s	s	NOUN
ejpam-6545	128	23	)	)	PUNCT
ejpam-6545	128	24	)	)	PUNCT
ejpam-6545	129	1	κ]′	κ]′	PROPN
ejpam-6545	129	2	≤	≤	ADJ
ejpam-6545	129	3	−ϱ	−ϱ	NOUN
ejpam-6545	129	4	(	(	PUNCT
ejpam-6545	129	5	s	s	NOUN
ejpam-6545	129	6	)	)	PUNCT
ejpam-6545	129	7	n∑	n∑	PROPN
ejpam-6545	129	8	i=1	i=1	PROPN
ejpam-6545	130	1	qi	qi	PROPN
ejpam-6545	130	2	(	(	PUNCT
ejpam-6545	130	3	s	s	NOUN
ejpam-6545	130	4	)	)	PUNCT
ejpam-6545	130	5	(	(	PUNCT
ejpam-6545	130	6	1−	1−	NUM
ejpam-6545	130	7	p	p	NOUN
ejpam-6545	130	8	(	(	PUNCT
ejpam-6545	130	9	ηi	ηi	PROPN
ejpam-6545	130	10	(	(	PUNCT
ejpam-6545	130	11	s	s	NOUN
ejpam-6545	130	12	)	)	PUNCT
ejpam-6545	130	13	)	)	PUNCT
ejpam-6545	130	14	)	)	PUNCT
ejpam-6545	131	1	κ	κ	PROPN
ejpam-6545	131	2	zκ	zκ	PROPN
ejpam-6545	131	3	(	(	PUNCT
ejpam-6545	131	4	ηi	ηi	PROPN
ejpam-6545	131	5	(	(	PUNCT
ejpam-6545	131	6	s	s	NOUN
ejpam-6545	131	7	)	)	PUNCT
ejpam-6545	131	8	)	)	PUNCT
ejpam-6545	132	1	≤	≤	NUM
ejpam-6545	132	2	−zκ	−zκ	X
ejpam-6545	132	3	(	(	PUNCT
ejpam-6545	132	4	η	η	PROPN
ejpam-6545	132	5	(	(	PUNCT
ejpam-6545	132	6	s	s	NOUN
ejpam-6545	132	7	)	)	PUNCT
ejpam-6545	132	8	)	)	PUNCT
ejpam-6545	132	9	ϱ	ϱ	ADP
ejpam-6545	132	10	(	(	PUNCT
ejpam-6545	132	11	s	s	NOUN
ejpam-6545	132	12	)	)	PUNCT
ejpam-6545	132	13	n∑	n∑	PROPN
ejpam-6545	132	14	i=1	i=1	PROPN
ejpam-6545	132	15	qi	qi	PROPN
ejpam-6545	132	16	(	(	PUNCT
ejpam-6545	132	17	s	s	NOUN
ejpam-6545	132	18	)	)	PUNCT
ejpam-6545	132	19	(	(	PUNCT
ejpam-6545	132	20	1−	1−	NUM
ejpam-6545	132	21	p	p	NOUN
ejpam-6545	132	22	(	(	PUNCT
ejpam-6545	132	23	ηi	ηi	PROPN
ejpam-6545	132	24	(	(	PUNCT
ejpam-6545	132	25	s	s	NOUN
ejpam-6545	132	26	)	)	PUNCT
ejpam-6545	132	27	)	)	PUNCT
ejpam-6545	132	28	)	)	PUNCT
ejpam-6545	132	29	κ	κ	NOUN
ejpam-6545	133	1	=	=	NOUN
ejpam-6545	133	2	−q	−q	ADJ
ejpam-6545	133	3	(	(	PUNCT
ejpam-6545	133	4	s	s	X
ejpam-6545	133	5	)	)	PUNCT
ejpam-6545	133	6	zκ	zκ	PROPN
ejpam-6545	133	7	(	(	PUNCT
ejpam-6545	133	8	η	η	PROPN
ejpam-6545	133	9	(	(	PUNCT
ejpam-6545	133	10	s	s	NOUN
ejpam-6545	133	11	)	)	PUNCT
ejpam-6545	133	12	)	)	PUNCT
ejpam-6545	133	13	.	.	PUNCT
ejpam-6545	134	1	now	now	ADV
ejpam-6545	134	2	,	,	PUNCT
ejpam-6545	134	3	we	we	PRON
ejpam-6545	134	4	have	have	VERB
ejpam-6545	134	5	z	z	NOUN
ejpam-6545	134	6	(	(	PUNCT
ejpam-6545	134	7	s	s	NOUN
ejpam-6545	134	8	)	)	PUNCT
ejpam-6545	134	9	≥	≥	NOUN
ejpam-6545	135	1	∫	∫	PROPN
ejpam-6545	135	2	s	s	PART
ejpam-6545	135	3	s1	s1	PROPN
ejpam-6545	135	4	1	1	NUM
ejpam-6545	135	5	ϱ1	ϱ1	NOUN
ejpam-6545	135	6	/	/	SYM
ejpam-6545	135	7	κ	κ	X
ejpam-6545	135	8	(	(	PUNCT
ejpam-6545	135	9	ρ	ρ	NOUN
ejpam-6545	135	10	)	)	PUNCT
ejpam-6545	135	11	r1	r1	PROPN
ejpam-6545	135	12	/	/	SYM
ejpam-6545	135	13	κ	κ	PROPN
ejpam-6545	135	14	(	(	PUNCT
ejpam-6545	135	15	ρ	ρ	NOUN
ejpam-6545	135	16	)	)	PUNCT
ejpam-6545	135	17	[	[	PUNCT
ejpam-6545	135	18	ϱ1	ϱ1	NOUN
ejpam-6545	135	19	/	/	SYM
ejpam-6545	135	20	κ	κ	X
ejpam-6545	135	21	(	(	PUNCT
ejpam-6545	135	22	ρ	ρ	NOUN
ejpam-6545	135	23	)	)	PUNCT
ejpam-6545	135	24	r1	r1	PROPN
ejpam-6545	135	25	/	/	SYM
ejpam-6545	135	26	κ	κ	PROPN
ejpam-6545	135	27	(	(	PUNCT
ejpam-6545	135	28	ρ	ρ	NOUN
ejpam-6545	135	29	)	)	PUNCT
ejpam-6545	135	30	z′	z′	PROPN
ejpam-6545	135	31	(	(	PUNCT
ejpam-6545	135	32	ρ	ρ	PROPN
ejpam-6545	135	33	)	)	PUNCT
ejpam-6545	135	34	]	]	PUNCT
ejpam-6545	136	1	dρ	dρ	PRON
ejpam-6545	136	2	≥	≥	NOUN
ejpam-6545	136	3	ϱ1	ϱ1	NOUN
ejpam-6545	136	4	/	/	SYM
ejpam-6545	136	5	κ	κ	X
ejpam-6545	136	6	(	(	PUNCT
ejpam-6545	136	7	s	s	NOUN
ejpam-6545	136	8	)	)	PUNCT
ejpam-6545	136	9	r1	r1	PROPN
ejpam-6545	136	10	/	/	SYM
ejpam-6545	136	11	κ	κ	X
ejpam-6545	136	12	(	(	PUNCT
ejpam-6545	136	13	s	s	NOUN
ejpam-6545	136	14	)	)	PUNCT
ejpam-6545	136	15	z′	z′	NUM
ejpam-6545	136	16	(	(	PUNCT
ejpam-6545	136	17	s)r	s)r	NOUN
ejpam-6545	136	18	(	(	PUNCT
ejpam-6545	136	19	s	s	NOUN
ejpam-6545	136	20	)	)	PUNCT
ejpam-6545	136	21	,	,	PUNCT
ejpam-6545	136	22	and	and	CCONJ
ejpam-6545	136	23	hence	hence	ADV
ejpam-6545	136	24	(	(	PUNCT
ejpam-6545	136	25	z	z	NOUN
ejpam-6545	136	26	(	(	PUNCT
ejpam-6545	136	27	s	s	NOUN
ejpam-6545	136	28	)	)	PUNCT
ejpam-6545	136	29	r	r	NOUN
ejpam-6545	136	30	(	(	PUNCT
ejpam-6545	136	31	s	s	NOUN
ejpam-6545	136	32	)	)	PUNCT
ejpam-6545	136	33	)	)	PUNCT
ejpam-6545	136	34	′	′	NUM
ejpam-6545	137	1	=	=	SYM
ejpam-6545	137	2	r	r	NOUN
ejpam-6545	137	3	(	(	PUNCT
ejpam-6545	137	4	s	s	NOUN
ejpam-6545	137	5	)	)	PUNCT
ejpam-6545	137	6	z′	z′	NUM
ejpam-6545	137	7	(	(	PUNCT
ejpam-6545	137	8	s)−	s)−	PROPN
ejpam-6545	137	9	ϱ−1	ϱ−1	PROPN
ejpam-6545	137	10	/	/	SYM
ejpam-6545	137	11	κ	κ	X
ejpam-6545	137	12	(	(	PUNCT
ejpam-6545	137	13	s	s	NOUN
ejpam-6545	137	14	)	)	PUNCT
ejpam-6545	137	15	r−1	r−1	PROPN
ejpam-6545	137	16	/	/	SYM
ejpam-6545	137	17	κ	κ	PROPN
ejpam-6545	137	18	(	(	PUNCT
ejpam-6545	137	19	s	s	NOUN
ejpam-6545	137	20	)	)	PUNCT
ejpam-6545	137	21	z	z	NOUN
ejpam-6545	137	22	(	(	PUNCT
ejpam-6545	137	23	s	s	NOUN
ejpam-6545	137	24	)	)	PUNCT
ejpam-6545	137	25	r2	r2	NOUN
ejpam-6545	137	26	(	(	PUNCT
ejpam-6545	137	27	s	s	NOUN
ejpam-6545	137	28	)	)	PUNCT
ejpam-6545	137	29	≤	≤	NUM
ejpam-6545	137	30	0	0	NUM
ejpam-6545	137	31	.	.	PUNCT
ejpam-6545	138	1	this	this	PRON
ejpam-6545	138	2	completes	complete	VERB
ejpam-6545	138	3	the	the	DET
ejpam-6545	138	4	proof	proof	NOUN
ejpam-6545	138	5	.	.	PUNCT
ejpam-6545	139	1	lemma	lemma	PROPN
ejpam-6545	139	2	3	3	X
ejpam-6545	139	3	.	.	PUNCT
ejpam-6545	139	4	grant	grant	VERB
ejpam-6545	139	5	that	that	SCONJ
ejpam-6545	139	6	x	x	PRON
ejpam-6545	139	7	is	be	AUX
ejpam-6545	139	8	a	a	DET
ejpam-6545	139	9	positive	positive	ADJ
ejpam-6545	139	10	solution	solution	NOUN
ejpam-6545	139	11	to	to	ADP
ejpam-6545	139	12	(	(	PUNCT
ejpam-6545	139	13	1	1	NUM
ejpam-6545	139	14	)	)	PUNCT
ejpam-6545	139	15	,	,	PUNCT
ejpam-6545	139	16	provide∫	provide∫	VERB
ejpam-6545	139	17	∞	∞	NUM
ejpam-6545	139	18	s1	s1	PROPN
ejpam-6545	139	19	rκ	rκ	PROPN
ejpam-6545	139	20	(	(	PUNCT
ejpam-6545	139	21	η	η	PROPN
ejpam-6545	139	22	(	(	PUNCT
ejpam-6545	139	23	ρ))q	ρ))q	PROPN
ejpam-6545	139	24	(	(	PUNCT
ejpam-6545	139	25	ρ	ρ	NOUN
ejpam-6545	139	26	)	)	PUNCT
ejpam-6545	139	27	dρ	dρ	PROPN
ejpam-6545	140	1	=	=	SYM
ejpam-6545	140	2	∞.	∞.	PROPN
ejpam-6545	140	3	(	(	PUNCT
ejpam-6545	140	4	9	9	NUM
ejpam-6545	140	5	)	)	PUNCT
ejpam-6545	140	6	then	then	ADV
ejpam-6545	140	7	lim	lim	PROPN
ejpam-6545	140	8	s→∞	s→∞	PROPN
ejpam-6545	140	9	z	z	PROPN
ejpam-6545	140	10	(	(	PUNCT
ejpam-6545	140	11	s	s	X
ejpam-6545	140	12	)	)	PUNCT
ejpam-6545	140	13	r	r	NOUN
ejpam-6545	140	14	(	(	PUNCT
ejpam-6545	140	15	s	s	NOUN
ejpam-6545	140	16	)	)	PUNCT
ejpam-6545	140	17	=	=	SYM
ejpam-6545	140	18	0	0	X
ejpam-6545	140	19	.	.	PUNCT
ejpam-6545	141	1	s.	s.	PROPN
ejpam-6545	141	2	aloraini	aloraini	PROPN
ejpam-6545	141	3	,	,	PUNCT
ejpam-6545	141	4	a.	a.	PROPN
ejpam-6545	141	5	s.	s.	PROPN
ejpam-6545	141	6	almohaimeed	almohaimee	VERB
ejpam-6545	141	7	,	,	PUNCT
ejpam-6545	141	8	o.	o.	PROPN
ejpam-6545	141	9	moaaz	moaaz	PROPN
ejpam-6545	141	10	/	/	SYM
ejpam-6545	141	11	eur	eur	PROPN
ejpam-6545	141	12	.	.	PUNCT
ejpam-6545	142	1	j.	j.	PROPN
ejpam-6545	142	2	pure	pure	PROPN
ejpam-6545	142	3	appl	appl	PROPN
ejpam-6545	142	4	.	.	PROPN
ejpam-6545	142	5	math	math	PROPN
ejpam-6545	142	6	,	,	PUNCT
ejpam-6545	142	7	18	18	NUM
ejpam-6545	142	8	(	(	PUNCT
ejpam-6545	142	9	4	4	NUM
ejpam-6545	142	10	)	)	PUNCT
ejpam-6545	142	11	(	(	PUNCT
ejpam-6545	142	12	2025	2025	NUM
ejpam-6545	142	13	)	)	PUNCT
ejpam-6545	142	14	,	,	PUNCT
ejpam-6545	142	15	6545	6545	NUM
ejpam-6545	142	16	7	7	NUM
ejpam-6545	142	17	of	of	ADP
ejpam-6545	142	18	15	15	NUM
ejpam-6545	142	19	proof	proof	NOUN
ejpam-6545	142	20	.	.	PUNCT
ejpam-6545	143	1	let	let	VERB
ejpam-6545	143	2	’s	’s	PRON
ejpam-6545	143	3	say	say	VERB
ejpam-6545	143	4	that	that	SCONJ
ejpam-6545	143	5	x	x	PRON
ejpam-6545	143	6	is	be	AUX
ejpam-6545	143	7	a	a	DET
ejpam-6545	143	8	positive	positive	ADJ
ejpam-6545	143	9	solution	solution	NOUN
ejpam-6545	143	10	to	to	ADP
ejpam-6545	143	11	(	(	PUNCT
ejpam-6545	143	12	1	1	NUM
ejpam-6545	143	13	)	)	PUNCT
ejpam-6545	143	14	.	.	PUNCT
ejpam-6545	144	1	from	from	ADP
ejpam-6545	144	2	(	(	PUNCT
ejpam-6545	144	3	p3	p3	PROPN
ejpam-6545	144	4	)	)	PUNCT
ejpam-6545	144	5	,	,	PUNCT
ejpam-6545	144	6	(	(	PUNCT
ejpam-6545	144	7	p4	p4	ADJ
ejpam-6545	144	8	)	)	PUNCT
ejpam-6545	144	9	,	,	PUNCT
ejpam-6545	144	10	we	we	PRON
ejpam-6545	144	11	get	get	VERB
ejpam-6545	144	12	z	z	NOUN
ejpam-6545	144	13	(	(	PUNCT
ejpam-6545	144	14	η	η	PROPN
ejpam-6545	144	15	(	(	PUNCT
ejpam-6545	144	16	s	s	NOUN
ejpam-6545	144	17	)	)	PUNCT
ejpam-6545	144	18	)	)	PUNCT
ejpam-6545	145	1	r	r	NOUN
ejpam-6545	145	2	(	(	PUNCT
ejpam-6545	145	3	η	η	PROPN
ejpam-6545	145	4	(	(	PUNCT
ejpam-6545	145	5	s	s	NOUN
ejpam-6545	145	6	)	)	PUNCT
ejpam-6545	145	7	)	)	PUNCT
ejpam-6545	145	8	≥	≥	PROPN
ejpam-6545	145	9	z	z	NOUN
ejpam-6545	145	10	(	(	PUNCT
ejpam-6545	145	11	s	s	NOUN
ejpam-6545	145	12	)	)	PUNCT
ejpam-6545	145	13	r	r	NOUN
ejpam-6545	145	14	(	(	PUNCT
ejpam-6545	145	15	s	s	NOUN
ejpam-6545	145	16	)	)	PUNCT
ejpam-6545	145	17	≥	≥	NOUN
ejpam-6545	145	18	ϱ1	ϱ1	NOUN
ejpam-6545	145	19	/	/	SYM
ejpam-6545	145	20	κ	κ	X
ejpam-6545	145	21	(	(	PUNCT
ejpam-6545	145	22	s	s	NOUN
ejpam-6545	145	23	)	)	PUNCT
ejpam-6545	145	24	r1	r1	PROPN
ejpam-6545	145	25	/	/	SYM
ejpam-6545	145	26	κ	κ	X
ejpam-6545	145	27	(	(	PUNCT
ejpam-6545	145	28	s	s	NOUN
ejpam-6545	145	29	)	)	PUNCT
ejpam-6545	145	30	z′	z′	PROPN
ejpam-6545	145	31	(	(	PUNCT
ejpam-6545	145	32	s	s	NOUN
ejpam-6545	145	33	)	)	PUNCT
ejpam-6545	145	34	.	.	PUNCT
ejpam-6545	146	1	using	use	VERB
ejpam-6545	146	2	(	(	PUNCT
ejpam-6545	146	3	p2	p2	PROPN
ejpam-6545	146	4	)	)	PUNCT
ejpam-6545	146	5	,	,	PUNCT
ejpam-6545	146	6	we	we	PRON
ejpam-6545	146	7	have	have	VERB
ejpam-6545	146	8	−q	−q	ADJ
ejpam-6545	146	9	(	(	PUNCT
ejpam-6545	146	10	s	s	X
ejpam-6545	146	11	)	)	PUNCT
ejpam-6545	146	12	zκ	zκ	PROPN
ejpam-6545	146	13	(	(	PUNCT
ejpam-6545	146	14	η	η	PROPN
ejpam-6545	146	15	(	(	PUNCT
ejpam-6545	146	16	s	s	NOUN
ejpam-6545	146	17	)	)	PUNCT
ejpam-6545	146	18	)	)	PUNCT
ejpam-6545	146	19	≥	≥	NOUN
ejpam-6545	146	20	[	[	PUNCT
ejpam-6545	146	21	ϱ	ϱ	X
ejpam-6545	146	22	(	(	PUNCT
ejpam-6545	146	23	s	s	NOUN
ejpam-6545	146	24	)	)	PUNCT
ejpam-6545	146	25	r	r	NOUN
ejpam-6545	146	26	(	(	PUNCT
ejpam-6545	146	27	s	s	NOUN
ejpam-6545	146	28	)	)	PUNCT
ejpam-6545	146	29	(	(	PUNCT
ejpam-6545	146	30	z′	z′	NUM
ejpam-6545	146	31	(	(	PUNCT
ejpam-6545	146	32	s	s	NOUN
ejpam-6545	146	33	)	)	PUNCT
ejpam-6545	146	34	)	)	PUNCT
ejpam-6545	147	1	κ]′	κ]′	PART
ejpam-6545	147	2	=	=	PUNCT
ejpam-6545	148	1	[	[	X
ejpam-6545	148	2	(	(	PUNCT
ejpam-6545	148	3	ϱ1	ϱ1	NOUN
ejpam-6545	148	4	/	/	SYM
ejpam-6545	148	5	κ	κ	X
ejpam-6545	148	6	(	(	PUNCT
ejpam-6545	148	7	s	s	NOUN
ejpam-6545	148	8	)	)	PUNCT
ejpam-6545	148	9	r1	r1	PROPN
ejpam-6545	148	10	/	/	SYM
ejpam-6545	148	11	κ	κ	X
ejpam-6545	148	12	(	(	PUNCT
ejpam-6545	148	13	s	s	NOUN
ejpam-6545	148	14	)	)	PUNCT
ejpam-6545	148	15	z′	z′	PROPN
ejpam-6545	148	16	(	(	PUNCT
ejpam-6545	148	17	s	s	NOUN
ejpam-6545	148	18	)	)	PUNCT
ejpam-6545	148	19	)	)	PUNCT
ejpam-6545	149	1	κ]′	κ]′	PROPN
ejpam-6545	149	2	=	=	PUNCT
ejpam-6545	149	3	κ	κ	X
ejpam-6545	149	4	(	(	PUNCT
ejpam-6545	149	5	ϱ1	ϱ1	NOUN
ejpam-6545	149	6	/	/	SYM
ejpam-6545	149	7	κ	κ	X
ejpam-6545	149	8	(	(	PUNCT
ejpam-6545	149	9	s	s	NOUN
ejpam-6545	149	10	)	)	PUNCT
ejpam-6545	149	11	r1	r1	PROPN
ejpam-6545	149	12	/	/	SYM
ejpam-6545	149	13	κ	κ	X
ejpam-6545	149	14	(	(	PUNCT
ejpam-6545	149	15	s	s	NOUN
ejpam-6545	149	16	)	)	PUNCT
ejpam-6545	149	17	z′	z′	PROPN
ejpam-6545	149	18	(	(	PUNCT
ejpam-6545	149	19	s	s	NOUN
ejpam-6545	149	20	)	)	PUNCT
ejpam-6545	149	21	)	)	PUNCT
ejpam-6545	150	1	κ−1	κ−1	PROPN
ejpam-6545	150	2	[	[	PUNCT
ejpam-6545	150	3	ϱ1	ϱ1	NOUN
ejpam-6545	150	4	/	/	SYM
ejpam-6545	150	5	κ	κ	X
ejpam-6545	150	6	(	(	PUNCT
ejpam-6545	150	7	s	s	NOUN
ejpam-6545	150	8	)	)	PUNCT
ejpam-6545	150	9	r1	r1	PROPN
ejpam-6545	150	10	/	/	SYM
ejpam-6545	150	11	κ	κ	X
ejpam-6545	150	12	(	(	PUNCT
ejpam-6545	150	13	s	s	NOUN
ejpam-6545	150	14	)	)	PUNCT
ejpam-6545	150	15	z′	z′	PROPN
ejpam-6545	150	16	(	(	PUNCT
ejpam-6545	150	17	s	s	NOUN
ejpam-6545	150	18	)	)	PUNCT
ejpam-6545	150	19	]	]	PUNCT
ejpam-6545	150	20	′	′	NUM
ejpam-6545	150	21	≥	≥	NOUN
ejpam-6545	150	22	κ	κ	X
ejpam-6545	150	23	(	(	PUNCT
ejpam-6545	150	24	z	z	X
ejpam-6545	150	25	(	(	PUNCT
ejpam-6545	150	26	η	η	PROPN
ejpam-6545	150	27	(	(	PUNCT
ejpam-6545	150	28	s	s	NOUN
ejpam-6545	150	29	)	)	PUNCT
ejpam-6545	150	30	)	)	PUNCT
ejpam-6545	151	1	r	r	NOUN
ejpam-6545	151	2	(	(	PUNCT
ejpam-6545	151	3	η	η	PROPN
ejpam-6545	151	4	(	(	PUNCT
ejpam-6545	151	5	s	s	NOUN
ejpam-6545	151	6	)	)	PUNCT
ejpam-6545	151	7	)	)	PUNCT
ejpam-6545	151	8	)	)	PUNCT
ejpam-6545	152	1	κ−1	κ−1	PROPN
ejpam-6545	152	2	[	[	PUNCT
ejpam-6545	152	3	ϱ1	ϱ1	NOUN
ejpam-6545	152	4	/	/	SYM
ejpam-6545	152	5	κ	κ	X
ejpam-6545	152	6	(	(	PUNCT
ejpam-6545	152	7	s	s	NOUN
ejpam-6545	152	8	)	)	PUNCT
ejpam-6545	152	9	r1	r1	PROPN
ejpam-6545	152	10	/	/	SYM
ejpam-6545	152	11	κ	κ	X
ejpam-6545	152	12	(	(	PUNCT
ejpam-6545	152	13	s	s	NOUN
ejpam-6545	152	14	)	)	PUNCT
ejpam-6545	152	15	z′	z′	PROPN
ejpam-6545	152	16	(	(	PUNCT
ejpam-6545	152	17	s	s	NOUN
ejpam-6545	152	18	)	)	PUNCT
ejpam-6545	152	19	]	]	PUNCT
ejpam-6545	152	20	′	′	NUM
ejpam-6545	152	21	,	,	PUNCT
ejpam-6545	152	22	and	and	CCONJ
ejpam-6545	152	23	so	so	ADV
ejpam-6545	152	24	[	[	PUNCT
ejpam-6545	152	25	ϱ1	ϱ1	NOUN
ejpam-6545	152	26	/	/	SYM
ejpam-6545	152	27	κ	κ	X
ejpam-6545	152	28	(	(	PUNCT
ejpam-6545	152	29	s	s	NOUN
ejpam-6545	152	30	)	)	PUNCT
ejpam-6545	152	31	r1	r1	PROPN
ejpam-6545	152	32	/	/	SYM
ejpam-6545	152	33	κ	κ	X
ejpam-6545	152	34	(	(	PUNCT
ejpam-6545	152	35	s	s	NOUN
ejpam-6545	152	36	)	)	PUNCT
ejpam-6545	152	37	z′	z′	PROPN
ejpam-6545	152	38	(	(	PUNCT
ejpam-6545	152	39	s	s	NOUN
ejpam-6545	152	40	)	)	PUNCT
ejpam-6545	152	41	]	]	PUNCT
ejpam-6545	152	42	′	′	NUM
ejpam-6545	152	43	≤	≤	NUM
ejpam-6545	152	44	−1	−1	NOUN
ejpam-6545	152	45	κ	κ	PROPN
ejpam-6545	152	46	z1−κ	z1−κ	PROPN
ejpam-6545	152	47	(	(	PUNCT
ejpam-6545	152	48	η	η	PROPN
ejpam-6545	152	49	(	(	PUNCT
ejpam-6545	152	50	s	s	NOUN
ejpam-6545	152	51	)	)	PUNCT
ejpam-6545	152	52	)	)	PUNCT
ejpam-6545	153	1	r1−κ	r1−κ	PROPN
ejpam-6545	153	2	(	(	PUNCT
ejpam-6545	153	3	η	η	PROPN
ejpam-6545	153	4	(	(	PUNCT
ejpam-6545	153	5	s	s	NOUN
ejpam-6545	153	6	)	)	PUNCT
ejpam-6545	153	7	)	)	PUNCT
ejpam-6545	153	8	q	q	NOUN
ejpam-6545	153	9	(	(	PUNCT
ejpam-6545	153	10	s	s	X
ejpam-6545	153	11	)	)	PUNCT
ejpam-6545	153	12	zκ	zκ	PROPN
ejpam-6545	153	13	(	(	PUNCT
ejpam-6545	153	14	η	η	PROPN
ejpam-6545	153	15	(	(	PUNCT
ejpam-6545	153	16	s	s	NOUN
ejpam-6545	153	17	)	)	PUNCT
ejpam-6545	153	18	)	)	PUNCT
ejpam-6545	153	19	=	=	PUNCT
ejpam-6545	153	20	−1	−1	NOUN
ejpam-6545	153	21	κ	κ	PROPN
ejpam-6545	153	22	rκ−1	rκ−1	NOUN
ejpam-6545	153	23	(	(	PUNCT
ejpam-6545	153	24	η	η	PROPN
ejpam-6545	153	25	(	(	PUNCT
ejpam-6545	153	26	s))q	s))q	PROPN
ejpam-6545	153	27	(	(	PUNCT
ejpam-6545	153	28	s	s	NOUN
ejpam-6545	153	29	)	)	PUNCT
ejpam-6545	153	30	z	z	NOUN
ejpam-6545	153	31	(	(	PUNCT
ejpam-6545	153	32	η	η	PROPN
ejpam-6545	153	33	(	(	PUNCT
ejpam-6545	153	34	s	s	NOUN
ejpam-6545	153	35	)	)	PUNCT
ejpam-6545	153	36	)	)	PUNCT
ejpam-6545	153	37	.	.	PUNCT
ejpam-6545	154	1	(	(	PUNCT
ejpam-6545	154	2	10	10	NUM
ejpam-6545	154	3	)	)	PUNCT
ejpam-6545	154	4	next	next	ADV
ejpam-6545	154	5	,	,	PUNCT
ejpam-6545	154	6	we	we	PRON
ejpam-6545	154	7	see	see	VERB
ejpam-6545	154	8	that	that	SCONJ
ejpam-6545	154	9	[	[	PUNCT
ejpam-6545	154	10	ϱ1	ϱ1	NOUN
ejpam-6545	154	11	/	/	SYM
ejpam-6545	154	12	κ	κ	X
ejpam-6545	154	13	(	(	PUNCT
ejpam-6545	154	14	s	s	NOUN
ejpam-6545	154	15	)	)	PUNCT
ejpam-6545	154	16	r1	r1	PROPN
ejpam-6545	154	17	/	/	SYM
ejpam-6545	154	18	κ	κ	PROPN
ejpam-6545	154	19	(	(	PUNCT
ejpam-6545	154	20	s)r2	s)r2	PROPN
ejpam-6545	154	21	(	(	PUNCT
ejpam-6545	154	22	s	s	NOUN
ejpam-6545	154	23	)	)	PUNCT
ejpam-6545	154	24	(	(	PUNCT
ejpam-6545	154	25	z	z	NOUN
ejpam-6545	154	26	(	(	PUNCT
ejpam-6545	154	27	s	s	NOUN
ejpam-6545	154	28	)	)	PUNCT
ejpam-6545	154	29	r	r	NOUN
ejpam-6545	154	30	(	(	PUNCT
ejpam-6545	154	31	s	s	NOUN
ejpam-6545	154	32	)	)	PUNCT
ejpam-6545	154	33	)	)	PUNCT
ejpam-6545	154	34	′]′	′]′	NOUN
ejpam-6545	154	35	=	=	PUNCT
ejpam-6545	155	1	[	[	PUNCT
ejpam-6545	155	2	r	r	X
ejpam-6545	155	3	(	(	PUNCT
ejpam-6545	155	4	s	s	NOUN
ejpam-6545	155	5	)	)	PUNCT
ejpam-6545	155	6	ϱ1	ϱ1	NOUN
ejpam-6545	155	7	/	/	SYM
ejpam-6545	155	8	κ	κ	X
ejpam-6545	155	9	(	(	PUNCT
ejpam-6545	155	10	s	s	NOUN
ejpam-6545	155	11	)	)	PUNCT
ejpam-6545	155	12	r1	r1	PROPN
ejpam-6545	155	13	/	/	SYM
ejpam-6545	155	14	κ	κ	X
ejpam-6545	155	15	(	(	PUNCT
ejpam-6545	155	16	s	s	NOUN
ejpam-6545	155	17	)	)	PUNCT
ejpam-6545	155	18	z′	z′	NUM
ejpam-6545	155	19	(	(	PUNCT
ejpam-6545	155	20	s)−	s)−	PROPN
ejpam-6545	155	21	z	z	PROPN
ejpam-6545	155	22	(	(	PUNCT
ejpam-6545	155	23	s	s	NOUN
ejpam-6545	155	24	)	)	PUNCT
ejpam-6545	155	25	]	]	PUNCT
ejpam-6545	155	26	′	′	NUM
ejpam-6545	156	1	=	=	SYM
ejpam-6545	156	2	r	r	NOUN
ejpam-6545	156	3	(	(	PUNCT
ejpam-6545	156	4	s	s	NOUN
ejpam-6545	156	5	)	)	PUNCT
ejpam-6545	156	6	[	[	PUNCT
ejpam-6545	156	7	ϱ1	ϱ1	NOUN
ejpam-6545	156	8	/	/	SYM
ejpam-6545	156	9	κ	κ	X
ejpam-6545	156	10	(	(	PUNCT
ejpam-6545	156	11	s	s	NOUN
ejpam-6545	156	12	)	)	PUNCT
ejpam-6545	156	13	r1	r1	PROPN
ejpam-6545	156	14	/	/	SYM
ejpam-6545	156	15	κ	κ	X
ejpam-6545	156	16	(	(	PUNCT
ejpam-6545	156	17	s	s	NOUN
ejpam-6545	156	18	)	)	PUNCT
ejpam-6545	156	19	z′	z′	PROPN
ejpam-6545	156	20	(	(	PUNCT
ejpam-6545	156	21	s	s	NOUN
ejpam-6545	156	22	)	)	PUNCT
ejpam-6545	156	23	]	]	PUNCT
ejpam-6545	156	24	′	′	NUM
ejpam-6545	156	25	≤	≤	NUM
ejpam-6545	157	1	−1	−1	NOUN
ejpam-6545	157	2	κ	κ	PRON
ejpam-6545	157	3	r	r	NOUN
ejpam-6545	157	4	(	(	PUNCT
ejpam-6545	157	5	s)rκ−1	s)rκ−1	PROPN
ejpam-6545	157	6	(	(	PUNCT
ejpam-6545	157	7	η	η	PROPN
ejpam-6545	157	8	(	(	PUNCT
ejpam-6545	157	9	s))q	s))q	PROPN
ejpam-6545	157	10	(	(	PUNCT
ejpam-6545	157	11	s	s	NOUN
ejpam-6545	157	12	)	)	PUNCT
ejpam-6545	157	13	z	z	NOUN
ejpam-6545	157	14	(	(	PUNCT
ejpam-6545	157	15	η	η	PROPN
ejpam-6545	157	16	(	(	PUNCT
ejpam-6545	157	17	s	s	NOUN
ejpam-6545	157	18	)	)	PUNCT
ejpam-6545	157	19	)	)	PUNCT
ejpam-6545	157	20	.	.	PUNCT
ejpam-6545	158	1	(	(	PUNCT
ejpam-6545	158	2	11	11	NUM
ejpam-6545	158	3	)	)	PUNCT
ejpam-6545	158	4	integration	integration	NOUN
ejpam-6545	158	5	of	of	ADP
ejpam-6545	158	6	(	(	PUNCT
ejpam-6545	158	7	11	11	NUM
ejpam-6545	158	8	)	)	PUNCT
ejpam-6545	158	9	for	for	ADP
ejpam-6545	158	10	s	s	PRON
ejpam-6545	158	11	from	from	ADP
ejpam-6545	158	12	s1	s1	PROPN
ejpam-6545	158	13	to	to	ADP
ejpam-6545	158	14	s	s	NOUN
ejpam-6545	158	15	yields	yield	NOUN
ejpam-6545	158	16	ϱ1	ϱ1	NOUN
ejpam-6545	158	17	/	/	SYM
ejpam-6545	158	18	κ	κ	X
ejpam-6545	158	19	(	(	PUNCT
ejpam-6545	158	20	s	s	NOUN
ejpam-6545	158	21	)	)	PUNCT
ejpam-6545	158	22	r1	r1	PROPN
ejpam-6545	158	23	/	/	SYM
ejpam-6545	158	24	κ	κ	PROPN
ejpam-6545	158	25	(	(	PUNCT
ejpam-6545	158	26	s)r2	s)r2	PROPN
ejpam-6545	158	27	(	(	PUNCT
ejpam-6545	158	28	s	s	NOUN
ejpam-6545	158	29	)	)	PUNCT
ejpam-6545	158	30	(	(	PUNCT
ejpam-6545	158	31	z	z	NOUN
ejpam-6545	158	32	(	(	PUNCT
ejpam-6545	158	33	s	s	NOUN
ejpam-6545	158	34	)	)	PUNCT
ejpam-6545	158	35	r	r	NOUN
ejpam-6545	158	36	(	(	PUNCT
ejpam-6545	158	37	s	s	NOUN
ejpam-6545	158	38	)	)	PUNCT
ejpam-6545	158	39	)	)	PUNCT
ejpam-6545	158	40	′	′	NUM
ejpam-6545	158	41	≤	≤	NUM
ejpam-6545	158	42	−l−	−l−	NOUN
ejpam-6545	158	43	1	1	NUM
ejpam-6545	158	44	κ	κ	NOUN
ejpam-6545	158	45	∫	∫	PROPN
ejpam-6545	158	46	s	s	PART
ejpam-6545	158	47	s1	s1	PROPN
ejpam-6545	158	48	r	r	NOUN
ejpam-6545	158	49	(	(	PUNCT
ejpam-6545	158	50	ρ)rκ−1	ρ)rκ−1	PROPN
ejpam-6545	158	51	(	(	PUNCT
ejpam-6545	158	52	η	η	PROPN
ejpam-6545	158	53	(	(	PUNCT
ejpam-6545	158	54	ρ))q	ρ))q	NOUN
ejpam-6545	158	55	(	(	PUNCT
ejpam-6545	158	56	ρ	ρ	NOUN
ejpam-6545	158	57	)	)	PUNCT
ejpam-6545	158	58	z	z	PROPN
ejpam-6545	158	59	(	(	PUNCT
ejpam-6545	158	60	η	η	PROPN
ejpam-6545	158	61	(	(	PUNCT
ejpam-6545	158	62	ρ	ρ	PROPN
ejpam-6545	158	63	)	)	PUNCT
ejpam-6545	158	64	)	)	PUNCT
ejpam-6545	158	65	dρ	dρ	INTJ
ejpam-6545	159	1	(	(	PUNCT
ejpam-6545	159	2	12	12	NUM
ejpam-6545	159	3	)	)	PUNCT
ejpam-6545	159	4	where	where	SCONJ
ejpam-6545	159	5	l	l	NOUN
ejpam-6545	159	6	:	:	PUNCT
ejpam-6545	159	7	=	=	SYM
ejpam-6545	159	8	−ϱ1	−ϱ1	PROPN
ejpam-6545	159	9	/	/	SYM
ejpam-6545	159	10	κ	κ	PROPN
ejpam-6545	159	11	(	(	PUNCT
ejpam-6545	159	12	s1	s1	NOUN
ejpam-6545	159	13	)	)	PUNCT
ejpam-6545	159	14	r	r	NOUN
ejpam-6545	159	15	1	1	NUM
ejpam-6545	159	16	/	/	SYM
ejpam-6545	159	17	κ	κ	X
ejpam-6545	159	18	(	(	PUNCT
ejpam-6545	159	19	s1)r	s1)r	NOUN
ejpam-6545	159	20	2	2	NUM
ejpam-6545	159	21	(	(	PUNCT
ejpam-6545	159	22	s1	s1	NOUN
ejpam-6545	159	23	)	)	PUNCT
ejpam-6545	159	24	(	(	PUNCT
ejpam-6545	159	25	z	z	NOUN
ejpam-6545	159	26	(	(	PUNCT
ejpam-6545	159	27	s	s	NOUN
ejpam-6545	159	28	)	)	PUNCT
ejpam-6545	159	29	r	r	NOUN
ejpam-6545	159	30	(	(	PUNCT
ejpam-6545	159	31	s	s	NOUN
ejpam-6545	159	32	)	)	PUNCT
ejpam-6545	159	33	)	)	PUNCT
ejpam-6545	160	1	′∣∣∣∣	′∣∣∣∣	PROPN
ejpam-6545	160	2	s	s	PART
ejpam-6545	161	1	=	=	X
ejpam-6545	161	2	s1	s1	X
ejpam-6545	161	3	>	>	X
ejpam-6545	161	4	0	0	X
ejpam-6545	161	5	.	.	PUNCT
ejpam-6545	162	1	let	let	VERB
ejpam-6545	162	2	w	w	X
ejpam-6545	162	3	:	:	PUNCT
ejpam-6545	162	4	=	=	SYM
ejpam-6545	162	5	z	z	X
ejpam-6545	162	6	/	/	SYM
ejpam-6545	162	7	r.	r.	PROPN
ejpam-6545	162	8	from	from	ADP
ejpam-6545	162	9	(	(	PUNCT
ejpam-6545	162	10	6	6	NUM
ejpam-6545	162	11	)	)	PUNCT
ejpam-6545	162	12	and	and	CCONJ
ejpam-6545	162	13	(	(	PUNCT
ejpam-6545	162	14	12	12	NUM
ejpam-6545	162	15	)	)	PUNCT
ejpam-6545	162	16	,	,	PUNCT
ejpam-6545	162	17	w	w	PROPN
ejpam-6545	162	18	is	be	AUX
ejpam-6545	162	19	positive	positive	ADJ
ejpam-6545	162	20	and	and	CCONJ
ejpam-6545	162	21	decreasing	decrease	VERB
ejpam-6545	162	22	.	.	PUNCT
ejpam-6545	163	1	so	so	ADV
ejpam-6545	163	2	,	,	PUNCT
ejpam-6545	163	3	lim	lim	PROPN
ejpam-6545	163	4	s→∞	s→∞	PROPN
ejpam-6545	163	5	w	w	PROPN
ejpam-6545	163	6	(	(	PUNCT
ejpam-6545	163	7	s	s	NOUN
ejpam-6545	163	8	)	)	PUNCT
ejpam-6545	163	9	=	=	PUNCT
ejpam-6545	163	10	w0	w0	PROPN
ejpam-6545	163	11	≥	≥	NOUN
ejpam-6545	163	12	0	0	NUM
ejpam-6545	163	13	.	.	PUNCT
ejpam-6545	164	1	assume	assume	VERB
ejpam-6545	164	2	the	the	DET
ejpam-6545	164	3	contrary	contrary	NOUN
ejpam-6545	164	4	that	that	PRON
ejpam-6545	164	5	w0	w0	PROPN
ejpam-6545	164	6	>	>	X
ejpam-6545	164	7	0	0	X
ejpam-6545	164	8	.	.	PUNCT
ejpam-6545	165	1	hence	hence	ADV
ejpam-6545	165	2	,	,	PUNCT
ejpam-6545	165	3	(	(	PUNCT
ejpam-6545	165	4	12	12	NUM
ejpam-6545	165	5	)	)	PUNCT
ejpam-6545	165	6	becomes	become	VERB
ejpam-6545	165	7	w′	w′	PROPN
ejpam-6545	165	8	(	(	PUNCT
ejpam-6545	165	9	s	s	NOUN
ejpam-6545	165	10	)	)	PUNCT
ejpam-6545	165	11	≤	≤	NOUN
ejpam-6545	165	12	−	−	ADP
ejpam-6545	165	13	1	1	NUM
ejpam-6545	165	14	κ	κ	NOUN
ejpam-6545	165	15	1	1	NUM
ejpam-6545	165	16	ϱ1	ϱ1	NOUN
ejpam-6545	165	17	/	/	SYM
ejpam-6545	165	18	κ	κ	X
ejpam-6545	165	19	(	(	PUNCT
ejpam-6545	165	20	s	s	NOUN
ejpam-6545	165	21	)	)	PUNCT
ejpam-6545	165	22	r1	r1	PROPN
ejpam-6545	165	23	/	/	SYM
ejpam-6545	165	24	κ	κ	PROPN
ejpam-6545	165	25	(	(	PUNCT
ejpam-6545	165	26	s)r2	s)r2	PROPN
ejpam-6545	165	27	(	(	PUNCT
ejpam-6545	165	28	s	s	NOUN
ejpam-6545	165	29	)	)	PUNCT
ejpam-6545	165	30	∫	∫	PROPN
ejpam-6545	165	31	s	s	PART
ejpam-6545	165	32	s1	s1	PROPN
ejpam-6545	165	33	r	r	NOUN
ejpam-6545	165	34	(	(	PUNCT
ejpam-6545	165	35	ρ)rκ−1	ρ)rκ−1	PROPN
ejpam-6545	165	36	(	(	PUNCT
ejpam-6545	165	37	η	η	PROPN
ejpam-6545	165	38	(	(	PUNCT
ejpam-6545	165	39	ρ))q	ρ))q	NOUN
ejpam-6545	165	40	(	(	PUNCT
ejpam-6545	165	41	ρ	ρ	NOUN
ejpam-6545	165	42	)	)	PUNCT
ejpam-6545	165	43	z	z	PROPN
ejpam-6545	165	44	(	(	PUNCT
ejpam-6545	165	45	η	η	PROPN
ejpam-6545	165	46	(	(	PUNCT
ejpam-6545	165	47	ρ	ρ	PROPN
ejpam-6545	165	48	)	)	PUNCT
ejpam-6545	165	49	)	)	PUNCT
ejpam-6545	166	1	dρ	dρ	PROPN
ejpam-6545	166	2	.	.	PUNCT
ejpam-6545	167	1	(	(	PUNCT
ejpam-6545	167	2	13	13	NUM
ejpam-6545	167	3	)	)	PUNCT
ejpam-6545	167	4	s.	s.	PROPN
ejpam-6545	167	5	aloraini	aloraini	PROPN
ejpam-6545	167	6	,	,	PUNCT
ejpam-6545	167	7	a.	a.	PROPN
ejpam-6545	167	8	s.	s.	PROPN
ejpam-6545	167	9	almohaimeed	almohaimee	VERB
ejpam-6545	167	10	,	,	PUNCT
ejpam-6545	167	11	o.	o.	PROPN
ejpam-6545	167	12	moaaz	moaaz	PROPN
ejpam-6545	167	13	/	/	SYM
ejpam-6545	167	14	eur	eur	PROPN
ejpam-6545	167	15	.	.	PUNCT
ejpam-6545	168	1	j.	j.	PROPN
ejpam-6545	168	2	pure	pure	PROPN
ejpam-6545	168	3	appl	appl	PROPN
ejpam-6545	168	4	.	.	PROPN
ejpam-6545	168	5	math	math	PROPN
ejpam-6545	168	6	,	,	PUNCT
ejpam-6545	168	7	18	18	NUM
ejpam-6545	168	8	(	(	PUNCT
ejpam-6545	168	9	4	4	NUM
ejpam-6545	168	10	)	)	PUNCT
ejpam-6545	168	11	(	(	PUNCT
ejpam-6545	168	12	2025	2025	NUM
ejpam-6545	168	13	)	)	PUNCT
ejpam-6545	168	14	,	,	PUNCT
ejpam-6545	168	15	6545	6545	NUM
ejpam-6545	168	16	8	8	NUM
ejpam-6545	168	17	of	of	ADP
ejpam-6545	168	18	15	15	NUM
ejpam-6545	168	19	integration	integration	NOUN
ejpam-6545	168	20	of	of	ADP
ejpam-6545	168	21	(	(	PUNCT
ejpam-6545	168	22	13	13	NUM
ejpam-6545	168	23	)	)	PUNCT
ejpam-6545	168	24	over	over	ADP
ejpam-6545	168	25	[	[	NOUN
ejpam-6545	168	26	s1,∞	s1,∞	X
ejpam-6545	168	27	)	)	PUNCT
ejpam-6545	168	28	gets	get	VERB
ejpam-6545	168	29	:	:	PUNCT
ejpam-6545	168	30	=	=	SYM
ejpam-6545	168	31	z	z	X
ejpam-6545	168	32	(	(	PUNCT
ejpam-6545	168	33	η	η	PROPN
ejpam-6545	168	34	(	(	PUNCT
ejpam-6545	168	35	ρ	ρ	NOUN
ejpam-6545	168	36	)	)	PUNCT
ejpam-6545	168	37	)	)	PUNCT
ejpam-6545	168	38	w0	w0	PROPN
ejpam-6545	168	39	−	−	PROPN
ejpam-6545	168	40	w	w	PROPN
ejpam-6545	168	41	(	(	PUNCT
ejpam-6545	168	42	s1	s1	NOUN
ejpam-6545	168	43	)	)	PUNCT
ejpam-6545	168	44	≤	≤	NUM
ejpam-6545	169	1	−1	−1	NOUN
ejpam-6545	170	1	κ	κ	X
ejpam-6545	170	2	∫	∫	PROPN
ejpam-6545	170	3	∞	∞	PROPN
ejpam-6545	170	4	s1	s1	PROPN
ejpam-6545	170	5	1	1	NUM
ejpam-6545	170	6	ϱ1	ϱ1	NOUN
ejpam-6545	170	7	/	/	SYM
ejpam-6545	170	8	κ	κ	X
ejpam-6545	170	9	(	(	PUNCT
ejpam-6545	170	10	u	u	NOUN
ejpam-6545	170	11	)	)	PUNCT
ejpam-6545	170	12	r1	r1	PROPN
ejpam-6545	170	13	/	/	SYM
ejpam-6545	170	14	κ	κ	PROPN
ejpam-6545	170	15	(	(	PUNCT
ejpam-6545	170	16	u)r2	u)r2	PROPN
ejpam-6545	170	17	(	(	PUNCT
ejpam-6545	170	18	u	u	NOUN
ejpam-6545	170	19	)	)	PUNCT
ejpam-6545	170	20	∫	∫	PROPN
ejpam-6545	170	21	u	u	PROPN
ejpam-6545	170	22	s1	s1	PROPN
ejpam-6545	170	23	r	r	NOUN
ejpam-6545	170	24	(	(	PUNCT
ejpam-6545	170	25	ρ)rκ−1	ρ)rκ−1	PROPN
ejpam-6545	170	26	(	(	PUNCT
ejpam-6545	170	27	η	η	PROPN
ejpam-6545	170	28	(	(	PUNCT
ejpam-6545	170	29	ρ))q	ρ))q	NOUN
ejpam-6545	170	30	(	(	PUNCT
ejpam-6545	170	31	ρ	ρ	NOUN
ejpam-6545	170	32	)	)	PUNCT
ejpam-6545	170	33	z	z	PROPN
ejpam-6545	170	34	(	(	PUNCT
ejpam-6545	170	35	η	η	PROPN
ejpam-6545	170	36	(	(	PUNCT
ejpam-6545	170	37	ρ	ρ	NOUN
ejpam-6545	170	38	)	)	PUNCT
ejpam-6545	170	39	)	)	PUNCT
ejpam-6545	170	40	dρdu	dρdu	NOUN
ejpam-6545	170	41	=	=	SYM
ejpam-6545	171	1	−1	−1	NOUN
ejpam-6545	171	2	κ	κ	X
ejpam-6545	171	3	∫	∫	PROPN
ejpam-6545	171	4	∞	∞	PROPN
ejpam-6545	171	5	s1	s1	PROPN
ejpam-6545	171	6	1	1	NUM
ejpam-6545	171	7	ϱ1	ϱ1	NOUN
ejpam-6545	171	8	/	/	SYM
ejpam-6545	171	9	κ	κ	X
ejpam-6545	171	10	(	(	PUNCT
ejpam-6545	171	11	u	u	NOUN
ejpam-6545	171	12	)	)	PUNCT
ejpam-6545	171	13	r1	r1	PROPN
ejpam-6545	171	14	/	/	SYM
ejpam-6545	171	15	κ	κ	PROPN
ejpam-6545	171	16	(	(	PUNCT
ejpam-6545	171	17	u)r2	u)r2	PROPN
ejpam-6545	171	18	(	(	PUNCT
ejpam-6545	171	19	u	u	NOUN
ejpam-6545	171	20	)	)	PUNCT
ejpam-6545	171	21	∫	∫	PROPN
ejpam-6545	171	22	u	u	PROPN
ejpam-6545	171	23	s1	s1	PROPN
ejpam-6545	171	24	r	r	NOUN
ejpam-6545	171	25	(	(	PUNCT
ejpam-6545	171	26	ρ)rκ	ρ)rκ	PROPN
ejpam-6545	171	27	(	(	PUNCT
ejpam-6545	171	28	η	η	PROPN
ejpam-6545	171	29	(	(	PUNCT
ejpam-6545	171	30	ρ))q	ρ))q	NOUN
ejpam-6545	171	31	(	(	PUNCT
ejpam-6545	171	32	ρ)w	ρ)w	X
ejpam-6545	171	33	(	(	PUNCT
ejpam-6545	171	34	η	η	PROPN
ejpam-6545	171	35	(	(	PUNCT
ejpam-6545	171	36	ρ	ρ	NOUN
ejpam-6545	171	37	)	)	PUNCT
ejpam-6545	171	38	)	)	PUNCT
ejpam-6545	171	39	dρdu	dρdu	NOUN
ejpam-6545	171	40	≤	≤	ADJ
ejpam-6545	172	1	−w0	−w0	PRON
ejpam-6545	172	2	κ	κ	X
ejpam-6545	172	3	∫	∫	PROPN
ejpam-6545	172	4	∞	∞	PROPN
ejpam-6545	172	5	s1	s1	PROPN
ejpam-6545	172	6	1	1	NUM
ejpam-6545	172	7	ϱ1	ϱ1	NOUN
ejpam-6545	172	8	/	/	SYM
ejpam-6545	172	9	κ	κ	X
ejpam-6545	172	10	(	(	PUNCT
ejpam-6545	172	11	u	u	NOUN
ejpam-6545	172	12	)	)	PUNCT
ejpam-6545	172	13	r1	r1	PROPN
ejpam-6545	172	14	/	/	SYM
ejpam-6545	172	15	κ	κ	PROPN
ejpam-6545	172	16	(	(	PUNCT
ejpam-6545	172	17	u)r2	u)r2	PROPN
ejpam-6545	172	18	(	(	PUNCT
ejpam-6545	172	19	u	u	NOUN
ejpam-6545	172	20	)	)	PUNCT
ejpam-6545	172	21	∫	∫	PROPN
ejpam-6545	172	22	u	u	PROPN
ejpam-6545	172	23	s1	s1	PROPN
ejpam-6545	172	24	r	r	NOUN
ejpam-6545	172	25	(	(	PUNCT
ejpam-6545	172	26	ρ)rκ	ρ)rκ	PROPN
ejpam-6545	172	27	(	(	PUNCT
ejpam-6545	172	28	η	η	PROPN
ejpam-6545	172	29	(	(	PUNCT
ejpam-6545	172	30	ρ))q	ρ))q	PROPN
ejpam-6545	172	31	(	(	PUNCT
ejpam-6545	172	32	ρ	ρ	NOUN
ejpam-6545	172	33	)	)	PUNCT
ejpam-6545	172	34	dρdu	dρdu	NOUN
ejpam-6545	173	1	=	=	PUNCT
ejpam-6545	174	1	−w0	−w0	PROPN
ejpam-6545	174	2	κ	κ	X
ejpam-6545	174	3	∫	∫	NOUN
ejpam-6545	174	4	∞	∞	PROPN
ejpam-6545	174	5	s1	s1	PROPN
ejpam-6545	174	6	rκ	rκ	PROPN
ejpam-6545	174	7	(	(	PUNCT
ejpam-6545	174	8	η	η	PROPN
ejpam-6545	174	9	(	(	PUNCT
ejpam-6545	174	10	ρ))q	ρ))q	PROPN
ejpam-6545	174	11	(	(	PUNCT
ejpam-6545	174	12	ρ	ρ	NOUN
ejpam-6545	174	13	)	)	PUNCT
ejpam-6545	174	14	dρ	dρ	PROPN
ejpam-6545	174	15	,	,	PUNCT
ejpam-6545	174	16	which	which	PRON
ejpam-6545	174	17	contradicts	contradict	VERB
ejpam-6545	174	18	(	(	PUNCT
ejpam-6545	174	19	9	9	NUM
ejpam-6545	174	20	)	)	PUNCT
ejpam-6545	174	21	,	,	PUNCT
ejpam-6545	174	22	and	and	CCONJ
ejpam-6545	174	23	thus	thus	ADV
ejpam-6545	174	24	w0	w0	X
ejpam-6545	174	25	=	=	NOUN
ejpam-6545	174	26	0	0	NUM
ejpam-6545	174	27	.	.	NOUN
ejpam-6545	174	28	4	4	NUM
ejpam-6545	174	29	.	.	X
ejpam-6545	174	30	oscillation	oscillation	NOUN
ejpam-6545	174	31	theorems	theorem	VERB
ejpam-6545	174	32	the	the	DET
ejpam-6545	174	33	following	follow	VERB
ejpam-6545	174	34	theorem	theorem	NOUN
ejpam-6545	174	35	uses	use	VERB
ejpam-6545	174	36	a	a	DET
ejpam-6545	174	37	comparison	comparison	NOUN
ejpam-6545	174	38	approach	approach	NOUN
ejpam-6545	174	39	with	with	ADP
ejpam-6545	174	40	a	a	DET
ejpam-6545	174	41	first	first	ADJ
ejpam-6545	174	42	-	-	PUNCT
ejpam-6545	174	43	order	order	NOUN
ejpam-6545	174	44	equation	equation	NOUN
ejpam-6545	174	45	to	to	PART
ejpam-6545	174	46	study	study	VERB
ejpam-6545	174	47	the	the	DET
ejpam-6545	174	48	oscillatory	oscillatory	ADJ
ejpam-6545	174	49	behavior	behavior	NOUN
ejpam-6545	174	50	of	of	ADP
ejpam-6545	174	51	solutions	solution	NOUN
ejpam-6545	174	52	to	to	ADP
ejpam-6545	174	53	equation	equation	NOUN
ejpam-6545	174	54	(	(	PUNCT
ejpam-6545	174	55	1	1	NUM
ejpam-6545	174	56	)	)	PUNCT
ejpam-6545	174	57	.	.	PUNCT
ejpam-6545	175	1	theorem	theorem	NOUN
ejpam-6545	175	2	1	1	NUM
ejpam-6545	175	3	.	.	PUNCT
ejpam-6545	175	4	assume	assume	VERB
ejpam-6545	175	5	that	that	SCONJ
ejpam-6545	175	6	(	(	PUNCT
ejpam-6545	175	7	9	9	X
ejpam-6545	175	8	)	)	PUNCT
ejpam-6545	175	9	holds	hold	VERB
ejpam-6545	175	10	.	.	PUNCT
ejpam-6545	176	1	if	if	SCONJ
ejpam-6545	176	2	the	the	DET
ejpam-6545	176	3	dde	dde	PROPN
ejpam-6545	176	4	w′	w′	PROPN
ejpam-6545	176	5	(	(	PUNCT
ejpam-6545	176	6	s	s	X
ejpam-6545	176	7	)	)	PUNCT
ejpam-6545	176	8	+	+	CCONJ
ejpam-6545	176	9	(	(	PUNCT
ejpam-6545	176	10	1	1	NUM
ejpam-6545	176	11	κϱ1	κϱ1	NOUN
ejpam-6545	176	12	/	/	SYM
ejpam-6545	176	13	κ	κ	X
ejpam-6545	176	14	(	(	PUNCT
ejpam-6545	176	15	s	s	NOUN
ejpam-6545	176	16	)	)	PUNCT
ejpam-6545	176	17	r1	r1	PROPN
ejpam-6545	176	18	/	/	SYM
ejpam-6545	176	19	κ	κ	PROPN
ejpam-6545	176	20	(	(	PUNCT
ejpam-6545	176	21	s)r2	s)r2	PROPN
ejpam-6545	176	22	(	(	PUNCT
ejpam-6545	176	23	s	s	NOUN
ejpam-6545	176	24	)	)	PUNCT
ejpam-6545	176	25	∫	∫	PROPN
ejpam-6545	176	26	s	s	PART
ejpam-6545	176	27	s0	s0	PROPN
ejpam-6545	176	28	r	r	NOUN
ejpam-6545	176	29	(	(	PUNCT
ejpam-6545	176	30	ρ)rκ	ρ)rκ	PROPN
ejpam-6545	176	31	(	(	PUNCT
ejpam-6545	176	32	η	η	PROPN
ejpam-6545	176	33	(	(	PUNCT
ejpam-6545	176	34	ρ))q	ρ))q	PROPN
ejpam-6545	176	35	(	(	PUNCT
ejpam-6545	176	36	ρ	ρ	NOUN
ejpam-6545	176	37	)	)	PUNCT
ejpam-6545	176	38	dρ	dρ	NOUN
ejpam-6545	176	39	)	)	PUNCT
ejpam-6545	176	40	w	w	PROPN
ejpam-6545	176	41	(	(	PUNCT
ejpam-6545	176	42	η	η	PROPN
ejpam-6545	176	43	(	(	PUNCT
ejpam-6545	176	44	s	s	NOUN
ejpam-6545	176	45	)	)	PUNCT
ejpam-6545	176	46	)	)	PUNCT
ejpam-6545	177	1	=	=	SYM
ejpam-6545	177	2	0	0	PUNCT
ejpam-6545	177	3	(	(	PUNCT
ejpam-6545	177	4	14	14	NUM
ejpam-6545	177	5	)	)	PUNCT
ejpam-6545	177	6	is	be	AUX
ejpam-6545	177	7	oscillatory	oscillatory	ADJ
ejpam-6545	177	8	,	,	PUNCT
ejpam-6545	177	9	then	then	ADV
ejpam-6545	177	10	equation	equation	NOUN
ejpam-6545	177	11	(	(	PUNCT
ejpam-6545	177	12	1	1	X
ejpam-6545	177	13	)	)	PUNCT
ejpam-6545	177	14	oscillates	oscillate	NOUN
ejpam-6545	177	15	.	.	PUNCT
ejpam-6545	178	1	proof	proof	NOUN
ejpam-6545	178	2	.	.	PUNCT
ejpam-6545	179	1	assume	assume	VERB
ejpam-6545	179	2	the	the	DET
ejpam-6545	179	3	contrary	contrary	NOUN
ejpam-6545	179	4	that	that	SCONJ
ejpam-6545	179	5	x	x	PRON
ejpam-6545	179	6	is	be	AUX
ejpam-6545	179	7	a	a	DET
ejpam-6545	179	8	positive	positive	ADJ
ejpam-6545	179	9	solution	solution	NOUN
ejpam-6545	179	10	to	to	ADP
ejpam-6545	179	11	(	(	PUNCT
ejpam-6545	179	12	1	1	NUM
ejpam-6545	179	13	)	)	PUNCT
ejpam-6545	179	14	.	.	PUNCT
ejpam-6545	180	1	since	since	SCONJ
ejpam-6545	180	2	in	in	ADP
ejpam-6545	180	3	the	the	DET
ejpam-6545	180	4	demonstration	demonstration	NOUN
ejpam-6545	180	5	of	of	ADP
ejpam-6545	180	6	lemma	lemma	PROPN
ejpam-6545	180	7	3	3	NUM
ejpam-6545	180	8	,	,	PUNCT
ejpam-6545	180	9	we	we	PRON
ejpam-6545	180	10	have	have	VERB
ejpam-6545	180	11	that	that	PRON
ejpam-6545	180	12	w	w	NOUN
ejpam-6545	180	13	=	=	SYM
ejpam-6545	180	14	z	z	NOUN
ejpam-6545	180	15	/	/	SYM
ejpam-6545	180	16	r	r	NOUN
ejpam-6545	180	17	satisfies	satisfie	NOUN
ejpam-6545	180	18	(	(	PUNCT
ejpam-6545	180	19	12	12	NUM
ejpam-6545	180	20	)	)	PUNCT
ejpam-6545	180	21	.	.	PUNCT
ejpam-6545	181	1	then	then	ADV
ejpam-6545	181	2	,	,	PUNCT
ejpam-6545	181	3	w′	w′	PROPN
ejpam-6545	181	4	(	(	PUNCT
ejpam-6545	181	5	s	s	NOUN
ejpam-6545	181	6	)	)	PUNCT
ejpam-6545	181	7	≤	≤	NUM
ejpam-6545	181	8	−1	−1	NOUN
ejpam-6545	181	9	ϱ1	ϱ1	NOUN
ejpam-6545	181	10	/	/	SYM
ejpam-6545	181	11	κ	κ	X
ejpam-6545	181	12	(	(	PUNCT
ejpam-6545	181	13	s	s	NOUN
ejpam-6545	181	14	)	)	PUNCT
ejpam-6545	181	15	r1	r1	PROPN
ejpam-6545	181	16	/	/	SYM
ejpam-6545	181	17	κ	κ	PROPN
ejpam-6545	181	18	(	(	PUNCT
ejpam-6545	181	19	s)r2	s)r2	PROPN
ejpam-6545	181	20	(	(	PUNCT
ejpam-6545	181	21	s	s	NOUN
ejpam-6545	181	22	)	)	PUNCT
ejpam-6545	181	23	[	[	PUNCT
ejpam-6545	181	24	l+	l+	X
ejpam-6545	181	25	1	1	NUM
ejpam-6545	181	26	κ	κ	NOUN
ejpam-6545	181	27	∫	∫	PROPN
ejpam-6545	181	28	s	s	PART
ejpam-6545	181	29	s1	s1	PROPN
ejpam-6545	181	30	r	r	NOUN
ejpam-6545	181	31	(	(	PUNCT
ejpam-6545	181	32	ρ)rκ	ρ)rκ	PROPN
ejpam-6545	181	33	(	(	PUNCT
ejpam-6545	181	34	η	η	PROPN
ejpam-6545	181	35	(	(	PUNCT
ejpam-6545	181	36	ρ))q	ρ))q	NOUN
ejpam-6545	181	37	(	(	PUNCT
ejpam-6545	181	38	ρ)w	ρ)w	X
ejpam-6545	181	39	(	(	PUNCT
ejpam-6545	181	40	η	η	PROPN
ejpam-6545	181	41	(	(	PUNCT
ejpam-6545	181	42	ρ	ρ	PROPN
ejpam-6545	181	43	)	)	PUNCT
ejpam-6545	181	44	)	)	PUNCT
ejpam-6545	181	45	dρ	dρ	ADP
ejpam-6545	181	46	]	]	PUNCT
ejpam-6545	181	47	≤	≤	NUM
ejpam-6545	181	48	−1	−1	NOUN
ejpam-6545	181	49	ϱ1	ϱ1	NOUN
ejpam-6545	181	50	/	/	SYM
ejpam-6545	181	51	κ	κ	X
ejpam-6545	181	52	(	(	PUNCT
ejpam-6545	181	53	s	s	NOUN
ejpam-6545	181	54	)	)	PUNCT
ejpam-6545	181	55	r1	r1	PROPN
ejpam-6545	181	56	/	/	SYM
ejpam-6545	181	57	κ	κ	PROPN
ejpam-6545	181	58	(	(	PUNCT
ejpam-6545	181	59	s)r2	s)r2	PROPN
ejpam-6545	181	60	(	(	PUNCT
ejpam-6545	181	61	s	s	NOUN
ejpam-6545	181	62	)	)	PUNCT
ejpam-6545	181	63	[	[	PUNCT
ejpam-6545	181	64	l+	l+	X
ejpam-6545	181	65	1	1	NUM
ejpam-6545	181	66	κ	κ	NOUN
ejpam-6545	181	67	w	w	PROPN
ejpam-6545	181	68	(	(	PUNCT
ejpam-6545	181	69	η	η	PROPN
ejpam-6545	181	70	(	(	PUNCT
ejpam-6545	181	71	s	s	NOUN
ejpam-6545	181	72	)	)	PUNCT
ejpam-6545	181	73	)	)	PUNCT
ejpam-6545	182	1	∫	∫	PROPN
ejpam-6545	182	2	s	s	PART
ejpam-6545	183	1	s1	s1	PROPN
ejpam-6545	183	2	r	r	NOUN
ejpam-6545	183	3	(	(	PUNCT
ejpam-6545	183	4	ρ)rκ	ρ)rκ	PROPN
ejpam-6545	183	5	(	(	PUNCT
ejpam-6545	183	6	η	η	PROPN
ejpam-6545	183	7	(	(	PUNCT
ejpam-6545	183	8	ρ))q	ρ))q	PROPN
ejpam-6545	183	9	(	(	PUNCT
ejpam-6545	183	10	ρ	ρ	NOUN
ejpam-6545	183	11	)	)	PUNCT
ejpam-6545	183	12	dρ	dρ	NOUN
ejpam-6545	183	13	]	]	PUNCT
ejpam-6545	183	14	=	=	PUNCT
ejpam-6545	183	15	−1	−1	NOUN
ejpam-6545	183	16	ϱ1	ϱ1	NOUN
ejpam-6545	183	17	/	/	SYM
ejpam-6545	183	18	κ	κ	X
ejpam-6545	183	19	(	(	PUNCT
ejpam-6545	183	20	s	s	NOUN
ejpam-6545	183	21	)	)	PUNCT
ejpam-6545	183	22	r1	r1	PROPN
ejpam-6545	183	23	/	/	SYM
ejpam-6545	183	24	κ	κ	PROPN
ejpam-6545	183	25	(	(	PUNCT
ejpam-6545	183	26	s)r2	s)r2	PROPN
ejpam-6545	183	27	(	(	PUNCT
ejpam-6545	183	28	s	s	NOUN
ejpam-6545	183	29	)	)	PUNCT
ejpam-6545	183	30	[	[	PUNCT
ejpam-6545	183	31	l−	l−	NOUN
ejpam-6545	183	32	1	1	NUM
ejpam-6545	183	33	κ	κ	NOUN
ejpam-6545	183	34	w	w	PROPN
ejpam-6545	183	35	(	(	PUNCT
ejpam-6545	183	36	η	η	PROPN
ejpam-6545	183	37	(	(	PUNCT
ejpam-6545	183	38	s	s	NOUN
ejpam-6545	183	39	)	)	PUNCT
ejpam-6545	183	40	)	)	PUNCT
ejpam-6545	183	41	∫	∫	PROPN
ejpam-6545	184	1	s1	s1	PROPN
ejpam-6545	184	2	s0	s0	PROPN
ejpam-6545	184	3	r	r	NOUN
ejpam-6545	184	4	(	(	PUNCT
ejpam-6545	184	5	ρ)rκ	ρ)rκ	PROPN
ejpam-6545	184	6	(	(	PUNCT
ejpam-6545	184	7	η	η	PROPN
ejpam-6545	184	8	(	(	PUNCT
ejpam-6545	184	9	ρ))q	ρ))q	PROPN
ejpam-6545	184	10	(	(	PUNCT
ejpam-6545	184	11	ρ	ρ	NOUN
ejpam-6545	184	12	)	)	PUNCT
ejpam-6545	184	13	dρ	dρ	NOUN
ejpam-6545	185	1	+	+	CCONJ
ejpam-6545	185	2	1	1	NUM
ejpam-6545	185	3	κ	κ	NOUN
ejpam-6545	185	4	w	w	PROPN
ejpam-6545	185	5	(	(	PUNCT
ejpam-6545	185	6	η	η	PROPN
ejpam-6545	185	7	(	(	PUNCT
ejpam-6545	185	8	s	s	NOUN
ejpam-6545	185	9	)	)	PUNCT
ejpam-6545	185	10	)	)	PUNCT
ejpam-6545	186	1	∫	∫	PROPN
ejpam-6545	186	2	s	s	PART
ejpam-6545	186	3	s0	s0	PROPN
ejpam-6545	186	4	r	r	NOUN
ejpam-6545	186	5	(	(	PUNCT
ejpam-6545	186	6	ρ)rκ	ρ)rκ	PROPN
ejpam-6545	186	7	(	(	PUNCT
ejpam-6545	186	8	η	η	PROPN
ejpam-6545	186	9	(	(	PUNCT
ejpam-6545	186	10	ρ))q	ρ))q	PROPN
ejpam-6545	186	11	(	(	PUNCT
ejpam-6545	186	12	ρ	ρ	NOUN
ejpam-6545	186	13	)	)	PUNCT
ejpam-6545	186	14	dρ	dρ	NOUN
ejpam-6545	186	15	]	]	PUNCT
ejpam-6545	186	16	.	.	PUNCT
ejpam-6545	187	1	(	(	PUNCT
ejpam-6545	187	2	15	15	NUM
ejpam-6545	187	3	)	)	PUNCT
ejpam-6545	187	4	since	since	SCONJ
ejpam-6545	187	5	w	w	PROPN
ejpam-6545	187	6	→	→	SYM
ejpam-6545	187	7	0	0	PUNCT
ejpam-6545	187	8	as	as	ADP
ejpam-6545	187	9	s	s	PROPN
ejpam-6545	187	10	→	→	SYM
ejpam-6545	187	11	∞	∞	PROPN
ejpam-6545	187	12	,	,	PUNCT
ejpam-6545	187	13	there	there	PRON
ejpam-6545	187	14	is	be	VERB
ejpam-6545	187	15	a	a	DET
ejpam-6545	187	16	s2	s2	NOUN
ejpam-6545	187	17	≥	≥	NOUN
ejpam-6545	187	18	s1	s1	NOUN
ejpam-6545	187	19	such	such	ADJ
ejpam-6545	187	20	that	that	DET
ejpam-6545	187	21	l−	l−	NOUN
ejpam-6545	187	22	1	1	NUM
ejpam-6545	187	23	κ	κ	NOUN
ejpam-6545	187	24	w	w	PROPN
ejpam-6545	187	25	(	(	PUNCT
ejpam-6545	187	26	η	η	PROPN
ejpam-6545	187	27	(	(	PUNCT
ejpam-6545	187	28	s	s	NOUN
ejpam-6545	187	29	)	)	PUNCT
ejpam-6545	187	30	)	)	PUNCT
ejpam-6545	188	1	∫	∫	PROPN
ejpam-6545	188	2	s1	s1	PROPN
ejpam-6545	188	3	s0	s0	PROPN
ejpam-6545	188	4	r	r	NOUN
ejpam-6545	188	5	(	(	PUNCT
ejpam-6545	188	6	ρ)rκ	ρ)rκ	PROPN
ejpam-6545	188	7	(	(	PUNCT
ejpam-6545	188	8	η	η	PROPN
ejpam-6545	188	9	(	(	PUNCT
ejpam-6545	188	10	ρ))q	ρ))q	PROPN
ejpam-6545	188	11	(	(	PUNCT
ejpam-6545	188	12	ρ	ρ	NOUN
ejpam-6545	188	13	)	)	PUNCT
ejpam-6545	188	14	dρ	dρ	NOUN
ejpam-6545	188	15	>	>	X
ejpam-6545	188	16	0	0	PUNCT
ejpam-6545	189	1	for	for	ADP
ejpam-6545	189	2	s	s	PROPN
ejpam-6545	189	3	≥	≥	NOUN
ejpam-6545	189	4	s2	s2	PROPN
ejpam-6545	189	5	.	.	PUNCT
ejpam-6545	190	1	(	(	PUNCT
ejpam-6545	190	2	16	16	NUM
ejpam-6545	190	3	)	)	PUNCT
ejpam-6545	190	4	s.	s.	PROPN
ejpam-6545	190	5	aloraini	aloraini	PROPN
ejpam-6545	190	6	,	,	PUNCT
ejpam-6545	190	7	a.	a.	PROPN
ejpam-6545	190	8	s.	s.	PROPN
ejpam-6545	190	9	almohaimeed	almohaimee	VERB
ejpam-6545	190	10	,	,	PUNCT
ejpam-6545	190	11	o.	o.	PROPN
ejpam-6545	190	12	moaaz	moaaz	PROPN
ejpam-6545	190	13	/	/	SYM
ejpam-6545	190	14	eur	eur	PROPN
ejpam-6545	190	15	.	.	PUNCT
ejpam-6545	191	1	j.	j.	PROPN
ejpam-6545	191	2	pure	pure	PROPN
ejpam-6545	191	3	appl	appl	PROPN
ejpam-6545	191	4	.	.	PROPN
ejpam-6545	191	5	math	math	PROPN
ejpam-6545	191	6	,	,	PUNCT
ejpam-6545	191	7	18	18	NUM
ejpam-6545	191	8	(	(	PUNCT
ejpam-6545	191	9	4	4	NUM
ejpam-6545	191	10	)	)	PUNCT
ejpam-6545	191	11	(	(	PUNCT
ejpam-6545	191	12	2025	2025	NUM
ejpam-6545	191	13	)	)	PUNCT
ejpam-6545	191	14	,	,	PUNCT
ejpam-6545	191	15	6545	6545	NUM
ejpam-6545	191	16	9	9	NUM
ejpam-6545	191	17	of	of	ADP
ejpam-6545	191	18	15	15	NUM
ejpam-6545	191	19	combining	combine	VERB
ejpam-6545	191	20	(	(	PUNCT
ejpam-6545	191	21	15	15	NUM
ejpam-6545	191	22	)	)	PUNCT
ejpam-6545	191	23	and	and	CCONJ
ejpam-6545	191	24	(	(	PUNCT
ejpam-6545	191	25	16	16	NUM
ejpam-6545	191	26	)	)	PUNCT
ejpam-6545	191	27	,	,	PUNCT
ejpam-6545	191	28	we	we	PRON
ejpam-6545	191	29	obtain	obtain	VERB
ejpam-6545	191	30	w′	w′	PROPN
ejpam-6545	191	31	(	(	PUNCT
ejpam-6545	191	32	s	s	X
ejpam-6545	191	33	)	)	PUNCT
ejpam-6545	191	34	+	+	CCONJ
ejpam-6545	191	35	(	(	PUNCT
ejpam-6545	191	36	1	1	NUM
ejpam-6545	191	37	κϱ1	κϱ1	NOUN
ejpam-6545	191	38	/	/	SYM
ejpam-6545	191	39	κ	κ	X
ejpam-6545	191	40	(	(	PUNCT
ejpam-6545	191	41	s	s	NOUN
ejpam-6545	191	42	)	)	PUNCT
ejpam-6545	191	43	r1	r1	PROPN
ejpam-6545	191	44	/	/	SYM
ejpam-6545	191	45	κ	κ	PROPN
ejpam-6545	191	46	(	(	PUNCT
ejpam-6545	191	47	s)r2	s)r2	PROPN
ejpam-6545	191	48	(	(	PUNCT
ejpam-6545	191	49	s	s	NOUN
ejpam-6545	191	50	)	)	PUNCT
ejpam-6545	191	51	∫	∫	PROPN
ejpam-6545	191	52	s	s	PART
ejpam-6545	191	53	s0	s0	PROPN
ejpam-6545	191	54	r	r	NOUN
ejpam-6545	191	55	(	(	PUNCT
ejpam-6545	191	56	ρ)rκ	ρ)rκ	PROPN
ejpam-6545	191	57	(	(	PUNCT
ejpam-6545	191	58	η	η	PROPN
ejpam-6545	191	59	(	(	PUNCT
ejpam-6545	191	60	ρ))q	ρ))q	PROPN
ejpam-6545	191	61	(	(	PUNCT
ejpam-6545	191	62	ρ	ρ	NOUN
ejpam-6545	191	63	)	)	PUNCT
ejpam-6545	191	64	dρ	dρ	NOUN
ejpam-6545	191	65	)	)	PUNCT
ejpam-6545	191	66	w	w	PROPN
ejpam-6545	191	67	(	(	PUNCT
ejpam-6545	191	68	η	η	PROPN
ejpam-6545	191	69	(	(	PUNCT
ejpam-6545	191	70	s	s	NOUN
ejpam-6545	191	71	)	)	PUNCT
ejpam-6545	191	72	)	)	PUNCT
ejpam-6545	191	73	≤	≤	ADV
ejpam-6545	191	74	0	0	NUM
ejpam-6545	191	75	.	.	PUNCT
ejpam-6545	192	1	(	(	PUNCT
ejpam-6545	192	2	17	17	NUM
ejpam-6545	192	3	)	)	PUNCT
ejpam-6545	192	4	now	now	ADV
ejpam-6545	192	5	,	,	PUNCT
ejpam-6545	192	6	we	we	PRON
ejpam-6545	192	7	have	have	VERB
ejpam-6545	192	8	w	w	NOUN
ejpam-6545	192	9	is	be	AUX
ejpam-6545	192	10	a	a	DET
ejpam-6545	192	11	positive	positive	ADJ
ejpam-6545	192	12	solution	solution	NOUN
ejpam-6545	192	13	to	to	ADP
ejpam-6545	192	14	(	(	PUNCT
ejpam-6545	192	15	17	17	NUM
ejpam-6545	192	16	)	)	PUNCT
ejpam-6545	192	17	.	.	PUNCT
ejpam-6545	193	1	according	accord	VERB
ejpam-6545	193	2	to	to	ADP
ejpam-6545	193	3	theorem	theorem	NOUN
ejpam-6545	193	4	1	1	NUM
ejpam-6545	193	5	in	in	ADP
ejpam-6545	193	6	[	[	X
ejpam-6545	193	7	42	42	NUM
ejpam-6545	193	8	]	]	PUNCT
ejpam-6545	193	9	,	,	PUNCT
ejpam-6545	193	10	equation	equation	NOUN
ejpam-6545	193	11	(	(	PUNCT
ejpam-6545	193	12	14	14	NUM
ejpam-6545	193	13	)	)	PUNCT
ejpam-6545	193	14	holds	hold	VERB
ejpam-6545	193	15	as	as	ADV
ejpam-6545	193	16	well	well	ADV
ejpam-6545	193	17	a	a	DET
ejpam-6545	193	18	positive	positive	ADJ
ejpam-6545	193	19	solution	solution	NOUN
ejpam-6545	193	20	,	,	PUNCT
ejpam-6545	193	21	a	a	DET
ejpam-6545	193	22	contradiction	contradiction	NOUN
ejpam-6545	193	23	.	.	PUNCT
ejpam-6545	194	1	using	use	VERB
ejpam-6545	194	2	the	the	DET
ejpam-6545	194	3	oscillation	oscillation	NOUN
ejpam-6545	194	4	criteria	criterion	NOUN
ejpam-6545	194	5	of	of	ADP
ejpam-6545	194	6	solutions	solution	NOUN
ejpam-6545	194	7	of	of	ADP
ejpam-6545	194	8	first	first	ADJ
ejpam-6545	194	9	-	-	PUNCT
ejpam-6545	194	10	order	order	NOUN
ejpam-6545	194	11	differential	differential	ADJ
ejpam-6545	194	12	equations	equation	NOUN
ejpam-6545	194	13	,	,	PUNCT
ejpam-6545	194	14	which	which	PRON
ejpam-6545	194	15	are	be	AUX
ejpam-6545	194	16	known	know	VERB
ejpam-6545	194	17	in	in	ADP
ejpam-6545	194	18	the	the	DET
ejpam-6545	194	19	literature	literature	NOUN
ejpam-6545	194	20	,	,	PUNCT
ejpam-6545	194	21	we	we	PRON
ejpam-6545	194	22	present	present	VERB
ejpam-6545	194	23	the	the	DET
ejpam-6545	194	24	following	follow	VERB
ejpam-6545	194	25	corollary	corollary	ADJ
ejpam-6545	194	26	:	:	PUNCT
ejpam-6545	194	27	corollary	corollary	ADJ
ejpam-6545	194	28	1	1	PROPN
ejpam-6545	194	29	.	.	PUNCT
ejpam-6545	194	30	assume	assume	VERB
ejpam-6545	194	31	that	that	SCONJ
ejpam-6545	194	32	(	(	PUNCT
ejpam-6545	194	33	9	9	X
ejpam-6545	194	34	)	)	PUNCT
ejpam-6545	194	35	holds	hold	VERB
ejpam-6545	194	36	.	.	PUNCT
ejpam-6545	195	1	if	if	SCONJ
ejpam-6545	195	2	lim	lim	PROPN
ejpam-6545	195	3	inf	inf	PROPN
ejpam-6545	195	4	s→∞	s→∞	NUM
ejpam-6545	195	5	∫	∫	PROPN
ejpam-6545	195	6	s	s	PART
ejpam-6545	195	7	η(s	η(s	PROPN
ejpam-6545	195	8	)	)	PUNCT
ejpam-6545	195	9	1	1	NUM
ejpam-6545	195	10	ϱ1	ϱ1	NOUN
ejpam-6545	195	11	/	/	SYM
ejpam-6545	195	12	κ	κ	X
ejpam-6545	195	13	(	(	PUNCT
ejpam-6545	195	14	u	u	NOUN
ejpam-6545	195	15	)	)	PUNCT
ejpam-6545	195	16	r1	r1	PROPN
ejpam-6545	195	17	/	/	SYM
ejpam-6545	195	18	κ	κ	PROPN
ejpam-6545	195	19	(	(	PUNCT
ejpam-6545	195	20	u)r2	u)r2	PROPN
ejpam-6545	195	21	(	(	PUNCT
ejpam-6545	195	22	u	u	NOUN
ejpam-6545	195	23	)	)	PUNCT
ejpam-6545	195	24	∫	∫	PROPN
ejpam-6545	195	25	u	u	PROPN
ejpam-6545	195	26	s0	s0	PROPN
ejpam-6545	195	27	r	r	NOUN
ejpam-6545	195	28	(	(	PUNCT
ejpam-6545	195	29	ρ)rκ	ρ)rκ	PROPN
ejpam-6545	195	30	(	(	PUNCT
ejpam-6545	195	31	η	η	PROPN
ejpam-6545	195	32	(	(	PUNCT
ejpam-6545	195	33	ρ))q	ρ))q	PROPN
ejpam-6545	195	34	(	(	PUNCT
ejpam-6545	195	35	ρ	ρ	NOUN
ejpam-6545	195	36	)	)	PUNCT
ejpam-6545	195	37	dρdu	dρdu	NOUN
ejpam-6545	195	38	>	>	X
ejpam-6545	195	39	κ	κ	PROPN
ejpam-6545	195	40	e	e	X
ejpam-6545	195	41	,	,	PUNCT
ejpam-6545	195	42	(	(	PUNCT
ejpam-6545	195	43	18	18	NUM
ejpam-6545	195	44	)	)	PUNCT
ejpam-6545	195	45	hence	hence	ADV
ejpam-6545	195	46	equation	equation	NOUN
ejpam-6545	195	47	(	(	PUNCT
ejpam-6545	195	48	1	1	X
ejpam-6545	195	49	)	)	PUNCT
ejpam-6545	195	50	oscillates	oscillate	NOUN
ejpam-6545	195	51	.	.	PUNCT
ejpam-6545	196	1	proof	proof	NOUN
ejpam-6545	196	2	.	.	PUNCT
ejpam-6545	197	1	using	use	VERB
ejpam-6545	197	2	theorem	theorem	NOUN
ejpam-6545	197	3	2	2	NUM
ejpam-6545	197	4	in	in	ADP
ejpam-6545	197	5	[	[	X
ejpam-6545	197	6	43	43	NUM
ejpam-6545	197	7	]	]	PUNCT
ejpam-6545	197	8	,	,	PUNCT
ejpam-6545	197	9	condition	condition	NOUN
ejpam-6545	197	10	(	(	PUNCT
ejpam-6545	197	11	18	18	NUM
ejpam-6545	197	12	)	)	PUNCT
ejpam-6545	197	13	implies	imply	VERB
ejpam-6545	197	14	oscillation	oscillation	NOUN
ejpam-6545	197	15	of	of	ADP
ejpam-6545	197	16	equation	equation	NOUN
ejpam-6545	197	17	(	(	PUNCT
ejpam-6545	197	18	14	14	NUM
ejpam-6545	197	19	)	)	PUNCT
ejpam-6545	197	20	.	.	PUNCT
ejpam-6545	198	1	thus	thus	ADV
ejpam-6545	198	2	,	,	PUNCT
ejpam-6545	198	3	from	from	ADP
ejpam-6545	198	4	theorem	theorem	ADJ
ejpam-6545	198	5	1	1	NUM
ejpam-6545	198	6	,	,	PUNCT
ejpam-6545	198	7	equation	equation	NOUN
ejpam-6545	198	8	(	(	PUNCT
ejpam-6545	198	9	1	1	X
ejpam-6545	198	10	)	)	PUNCT
ejpam-6545	198	11	oscillates	oscillate	NOUN
ejpam-6545	198	12	.	.	PUNCT
ejpam-6545	199	1	using	use	VERB
ejpam-6545	199	2	a	a	DET
ejpam-6545	199	3	different	different	ADJ
ejpam-6545	199	4	approach	approach	NOUN
ejpam-6545	199	5	,	,	PUNCT
ejpam-6545	199	6	we	we	PRON
ejpam-6545	199	7	can	can	AUX
ejpam-6545	199	8	establish	establish	VERB
ejpam-6545	199	9	another	another	DET
ejpam-6545	199	10	comparison	comparison	NOUN
ejpam-6545	199	11	criterion	criterion	NOUN
ejpam-6545	199	12	by	by	ADP
ejpam-6545	199	13	relating	relate	VERB
ejpam-6545	199	14	the	the	DET
ejpam-6545	199	15	oscillation	oscillation	NOUN
ejpam-6545	199	16	of	of	ADP
ejpam-6545	199	17	the	the	DET
ejpam-6545	199	18	solutions	solution	NOUN
ejpam-6545	199	19	of	of	ADP
ejpam-6545	199	20	equation	equation	NOUN
ejpam-6545	199	21	(	(	PUNCT
ejpam-6545	199	22	1	1	NUM
ejpam-6545	199	23	)	)	PUNCT
ejpam-6545	199	24	to	to	ADP
ejpam-6545	199	25	a	a	DET
ejpam-6545	199	26	first	first	ADJ
ejpam-6545	199	27	-	-	PUNCT
ejpam-6545	199	28	order	order	NOUN
ejpam-6545	199	29	equation	equation	NOUN
ejpam-6545	199	30	,	,	PUNCT
ejpam-6545	199	31	as	as	ADP
ejpam-6545	199	32	in	in	ADP
ejpam-6545	199	33	the	the	DET
ejpam-6545	199	34	following	following	NOUN
ejpam-6545	199	35	theorem	theorem	NOUN
ejpam-6545	199	36	:	:	PUNCT
ejpam-6545	199	37	theorem	theorem	ADJ
ejpam-6545	199	38	2	2	NUM
ejpam-6545	199	39	.	.	PUNCT
ejpam-6545	199	40	equation	equation	NOUN
ejpam-6545	199	41	(	(	PUNCT
ejpam-6545	199	42	1	1	X
ejpam-6545	199	43	)	)	PUNCT
ejpam-6545	199	44	oscillates	oscillate	NOUN
ejpam-6545	199	45	if	if	SCONJ
ejpam-6545	199	46	condition	condition	NOUN
ejpam-6545	199	47	(	(	PUNCT
ejpam-6545	199	48	9	9	NUM
ejpam-6545	199	49	)	)	PUNCT
ejpam-6545	199	50	holds	hold	NOUN
ejpam-6545	199	51	and	and	CCONJ
ejpam-6545	199	52	the	the	DET
ejpam-6545	199	53	dde	dde	PROPN
ejpam-6545	199	54	h	h	NOUN
ejpam-6545	200	1	′	′	NUM
ejpam-6545	200	2	(	(	PUNCT
ejpam-6545	200	3	s	s	X
ejpam-6545	200	4	)	)	PUNCT
ejpam-6545	200	5	+	+	CCONJ
ejpam-6545	200	6	1	1	NUM
ejpam-6545	200	7	κ	κ	PRON
ejpam-6545	200	8	rκ	rκ	VERB
ejpam-6545	200	9	(	(	PUNCT
ejpam-6545	200	10	η	η	PROPN
ejpam-6545	200	11	(	(	PUNCT
ejpam-6545	200	12	s))q	s))q	PROPN
ejpam-6545	200	13	(	(	PUNCT
ejpam-6545	200	14	s)h	s)h	X
ejpam-6545	200	15	(	(	PUNCT
ejpam-6545	200	16	η	η	PROPN
ejpam-6545	200	17	(	(	PUNCT
ejpam-6545	200	18	s	s	NOUN
ejpam-6545	200	19	)	)	PUNCT
ejpam-6545	200	20	)	)	PUNCT
ejpam-6545	200	21	≤	≤	NUM
ejpam-6545	200	22	0	0	NUM
ejpam-6545	201	1	(	(	PUNCT
ejpam-6545	201	2	19	19	NUM
ejpam-6545	201	3	)	)	PUNCT
ejpam-6545	201	4	is	be	AUX
ejpam-6545	201	5	oscillatory	oscillatory	ADJ
ejpam-6545	201	6	.	.	PUNCT
ejpam-6545	202	1	proof	proof	NOUN
ejpam-6545	202	2	.	.	PUNCT
ejpam-6545	203	1	assume	assume	VERB
ejpam-6545	203	2	the	the	DET
ejpam-6545	203	3	contrary	contrary	NOUN
ejpam-6545	203	4	that	that	SCONJ
ejpam-6545	203	5	x	x	PRON
ejpam-6545	203	6	is	be	AUX
ejpam-6545	203	7	a	a	DET
ejpam-6545	203	8	positive	positive	ADJ
ejpam-6545	203	9	solution	solution	NOUN
ejpam-6545	203	10	to	to	ADP
ejpam-6545	203	11	(	(	PUNCT
ejpam-6545	203	12	1	1	NUM
ejpam-6545	203	13	)	)	PUNCT
ejpam-6545	203	14	.	.	PUNCT
ejpam-6545	204	1	as	as	ADP
ejpam-6545	204	2	in	in	ADP
ejpam-6545	204	3	the	the	DET
ejpam-6545	204	4	demonstration	demonstration	NOUN
ejpam-6545	204	5	of	of	ADP
ejpam-6545	204	6	lemma	lemma	PROPN
ejpam-6545	204	7	3	3	NUM
ejpam-6545	204	8	,	,	PUNCT
ejpam-6545	204	9	we	we	PRON
ejpam-6545	204	10	arrive	arrive	VERB
ejpam-6545	204	11	at	at	ADP
ejpam-6545	204	12	(	(	PUNCT
ejpam-6545	204	13	10	10	NUM
ejpam-6545	204	14	)	)	PUNCT
ejpam-6545	204	15	.	.	PUNCT
ejpam-6545	205	1	using	use	VERB
ejpam-6545	205	2	(	(	PUNCT
ejpam-6545	205	3	p3	p3	PROPN
ejpam-6545	205	4	)	)	PUNCT
ejpam-6545	205	5	,	,	PUNCT
ejpam-6545	205	6	(	(	PUNCT
ejpam-6545	205	7	10	10	NUM
ejpam-6545	205	8	)	)	PUNCT
ejpam-6545	205	9	reduces	reduce	VERB
ejpam-6545	205	10	to	to	ADP
ejpam-6545	205	11	[	[	PUNCT
ejpam-6545	205	12	ϱ1	ϱ1	VERB
ejpam-6545	205	13	/	/	SYM
ejpam-6545	205	14	κ	κ	X
ejpam-6545	205	15	(	(	PUNCT
ejpam-6545	205	16	s	s	NOUN
ejpam-6545	205	17	)	)	PUNCT
ejpam-6545	205	18	r1	r1	PROPN
ejpam-6545	205	19	/	/	SYM
ejpam-6545	205	20	κ	κ	X
ejpam-6545	205	21	(	(	PUNCT
ejpam-6545	205	22	s	s	NOUN
ejpam-6545	205	23	)	)	PUNCT
ejpam-6545	205	24	z′	z′	PROPN
ejpam-6545	205	25	(	(	PUNCT
ejpam-6545	205	26	s	s	NOUN
ejpam-6545	205	27	)	)	PUNCT
ejpam-6545	205	28	]	]	PUNCT
ejpam-6545	205	29	′	′	NOUN
ejpam-6545	205	30	≤	≤	NUM
ejpam-6545	206	1	−	−	ADP
ejpam-6545	206	2	1	1	NUM
ejpam-6545	206	3	κ	κ	NOUN
ejpam-6545	206	4	rκ	rκ	VERB
ejpam-6545	206	5	(	(	PUNCT
ejpam-6545	206	6	η	η	PROPN
ejpam-6545	206	7	(	(	PUNCT
ejpam-6545	206	8	s))q	s))q	PROPN
ejpam-6545	206	9	(	(	PUNCT
ejpam-6545	206	10	s	s	NOUN
ejpam-6545	206	11	)	)	PUNCT
ejpam-6545	206	12	ϱ1	ϱ1	NOUN
ejpam-6545	206	13	/	/	SYM
ejpam-6545	206	14	κ	κ	PROPN
ejpam-6545	206	15	(	(	PUNCT
ejpam-6545	206	16	η	η	PROPN
ejpam-6545	206	17	(	(	PUNCT
ejpam-6545	206	18	s	s	NOUN
ejpam-6545	206	19	)	)	PUNCT
ejpam-6545	206	20	)	)	PUNCT
ejpam-6545	206	21	r1	r1	PROPN
ejpam-6545	206	22	/	/	SYM
ejpam-6545	206	23	κ	κ	PROPN
ejpam-6545	206	24	(	(	PUNCT
ejpam-6545	206	25	η	η	PROPN
ejpam-6545	206	26	(	(	PUNCT
ejpam-6545	206	27	s	s	NOUN
ejpam-6545	206	28	)	)	PUNCT
ejpam-6545	206	29	)	)	PUNCT
ejpam-6545	207	1	z′	z′	PROPN
ejpam-6545	207	2	(	(	PUNCT
ejpam-6545	207	3	η	η	PROPN
ejpam-6545	207	4	(	(	PUNCT
ejpam-6545	207	5	s	s	NOUN
ejpam-6545	207	6	)	)	PUNCT
ejpam-6545	207	7	)	)	PUNCT
ejpam-6545	207	8	.	.	PUNCT
ejpam-6545	208	1	then	then	ADV
ejpam-6545	208	2	,	,	PUNCT
ejpam-6545	208	3	h	h	NOUN
ejpam-6545	208	4	:	:	PUNCT
ejpam-6545	208	5	=	=	SYM
ejpam-6545	208	6	ϱ1	ϱ1	NOUN
ejpam-6545	208	7	/	/	SYM
ejpam-6545	208	8	κr1	κr1	NOUN
ejpam-6545	208	9	/	/	SYM
ejpam-6545	208	10	κz′	κz′	NOUN
ejpam-6545	208	11	is	be	AUX
ejpam-6545	208	12	a	a	DET
ejpam-6545	208	13	positive	positive	ADJ
ejpam-6545	208	14	solution	solution	NOUN
ejpam-6545	208	15	to	to	ADP
ejpam-6545	208	16	h	h	NOUN
ejpam-6545	208	17	′	′	NUM
ejpam-6545	208	18	(	(	PUNCT
ejpam-6545	208	19	s	s	X
ejpam-6545	208	20	)	)	PUNCT
ejpam-6545	208	21	+	+	CCONJ
ejpam-6545	208	22	1	1	NUM
ejpam-6545	208	23	κ	κ	PRON
ejpam-6545	208	24	rκ	rκ	VERB
ejpam-6545	208	25	(	(	PUNCT
ejpam-6545	208	26	η	η	PROPN
ejpam-6545	208	27	(	(	PUNCT
ejpam-6545	208	28	s))q	s))q	PROPN
ejpam-6545	208	29	(	(	PUNCT
ejpam-6545	208	30	s)h	s)h	X
ejpam-6545	208	31	(	(	PUNCT
ejpam-6545	208	32	η	η	PROPN
ejpam-6545	208	33	(	(	PUNCT
ejpam-6545	208	34	s	s	NOUN
ejpam-6545	208	35	)	)	PUNCT
ejpam-6545	208	36	)	)	PUNCT
ejpam-6545	208	37	≤	≤	ADV
ejpam-6545	208	38	0	0	NUM
ejpam-6545	208	39	.	.	PUNCT
ejpam-6545	209	1	according	accord	VERB
ejpam-6545	209	2	to	to	ADP
ejpam-6545	209	3	theorem	theorem	NOUN
ejpam-6545	209	4	1	1	NUM
ejpam-6545	209	5	in	in	ADP
ejpam-6545	209	6	[	[	X
ejpam-6545	209	7	42	42	NUM
ejpam-6545	209	8	]	]	PUNCT
ejpam-6545	209	9	,	,	PUNCT
ejpam-6545	209	10	equation	equation	NOUN
ejpam-6545	209	11	(	(	PUNCT
ejpam-6545	209	12	19	19	NUM
ejpam-6545	209	13	)	)	PUNCT
ejpam-6545	209	14	holds	hold	VERB
ejpam-6545	209	15	as	as	ADV
ejpam-6545	209	16	well	well	ADV
ejpam-6545	209	17	a	a	DET
ejpam-6545	209	18	positive	positive	ADJ
ejpam-6545	209	19	solution	solution	NOUN
ejpam-6545	209	20	,	,	PUNCT
ejpam-6545	209	21	a	a	DET
ejpam-6545	209	22	contradiction	contradiction	NOUN
ejpam-6545	209	23	.	.	PUNCT
ejpam-6545	210	1	corollary	corollary	ADJ
ejpam-6545	210	2	2	2	NUM
ejpam-6545	210	3	.	.	PUNCT
ejpam-6545	211	1	if	if	SCONJ
ejpam-6545	211	2	lim	lim	PROPN
ejpam-6545	211	3	inf	inf	PROPN
ejpam-6545	211	4	s→∞	s→∞	NUM
ejpam-6545	211	5	∫	∫	PROPN
ejpam-6545	211	6	s	s	PART
ejpam-6545	211	7	η(s	η(s	PROPN
ejpam-6545	211	8	)	)	PUNCT
ejpam-6545	211	9	rκ	rκ	PROPN
ejpam-6545	211	10	(	(	PUNCT
ejpam-6545	211	11	η	η	PROPN
ejpam-6545	211	12	(	(	PUNCT
ejpam-6545	211	13	ρ))q	ρ))q	NOUN
ejpam-6545	211	14	(	(	PUNCT
ejpam-6545	211	15	ρ	ρ	NOUN
ejpam-6545	211	16	)	)	PUNCT
ejpam-6545	211	17	>	>	X
ejpam-6545	211	18	κ	κ	PROPN
ejpam-6545	211	19	e	e	X
ejpam-6545	211	20	,	,	PUNCT
ejpam-6545	211	21	(	(	PUNCT
ejpam-6545	211	22	20	20	NUM
ejpam-6545	211	23	)	)	PUNCT
ejpam-6545	211	24	then	then	ADV
ejpam-6545	211	25	equation	equation	NOUN
ejpam-6545	211	26	(	(	PUNCT
ejpam-6545	211	27	1	1	X
ejpam-6545	211	28	)	)	PUNCT
ejpam-6545	211	29	oscillates	oscillate	NOUN
ejpam-6545	211	30	.	.	PUNCT
ejpam-6545	212	1	s.	s.	PROPN
ejpam-6545	212	2	aloraini	aloraini	PROPN
ejpam-6545	212	3	,	,	PUNCT
ejpam-6545	212	4	a.	a.	PROPN
ejpam-6545	212	5	s.	s.	PROPN
ejpam-6545	212	6	almohaimeed	almohaimee	VERB
ejpam-6545	212	7	,	,	PUNCT
ejpam-6545	212	8	o.	o.	PROPN
ejpam-6545	212	9	moaaz	moaaz	PROPN
ejpam-6545	212	10	/	/	SYM
ejpam-6545	212	11	eur	eur	PROPN
ejpam-6545	212	12	.	.	PUNCT
ejpam-6545	213	1	j.	j.	PROPN
ejpam-6545	213	2	pure	pure	PROPN
ejpam-6545	213	3	appl	appl	PROPN
ejpam-6545	213	4	.	.	PROPN
ejpam-6545	213	5	math	math	PROPN
ejpam-6545	213	6	,	,	PUNCT
ejpam-6545	213	7	18	18	NUM
ejpam-6545	213	8	(	(	PUNCT
ejpam-6545	213	9	4	4	NUM
ejpam-6545	213	10	)	)	PUNCT
ejpam-6545	213	11	(	(	PUNCT
ejpam-6545	213	12	2025	2025	NUM
ejpam-6545	213	13	)	)	PUNCT
ejpam-6545	213	14	,	,	PUNCT
ejpam-6545	213	15	6545	6545	NUM
ejpam-6545	213	16	10	10	NUM
ejpam-6545	213	17	of	of	ADP
ejpam-6545	213	18	15	15	NUM
ejpam-6545	213	19	proof	proof	NOUN
ejpam-6545	213	20	.	.	PUNCT
ejpam-6545	214	1	first	first	ADV
ejpam-6545	214	2	,	,	PUNCT
ejpam-6545	214	3	we	we	PRON
ejpam-6545	214	4	note	note	VERB
ejpam-6545	214	5	that	that	SCONJ
ejpam-6545	214	6	(	(	PUNCT
ejpam-6545	214	7	9	9	X
ejpam-6545	214	8	)	)	PUNCT
ejpam-6545	214	9	is	be	AUX
ejpam-6545	214	10	necessary	necessary	ADJ
ejpam-6545	214	11	for	for	ADP
ejpam-6545	214	12	the	the	DET
ejpam-6545	214	13	validity	validity	NOUN
ejpam-6545	214	14	of	of	ADP
ejpam-6545	214	15	(	(	PUNCT
ejpam-6545	214	16	20	20	NUM
ejpam-6545	214	17	)	)	PUNCT
ejpam-6545	214	18	.	.	PUNCT
ejpam-6545	215	1	using	use	VERB
ejpam-6545	215	2	theorem	theorem	NOUN
ejpam-6545	215	3	2	2	NUM
ejpam-6545	215	4	in	in	ADP
ejpam-6545	215	5	[	[	X
ejpam-6545	215	6	43	43	NUM
ejpam-6545	215	7	]	]	PUNCT
ejpam-6545	215	8	,	,	PUNCT
ejpam-6545	215	9	condition	condition	NOUN
ejpam-6545	215	10	(	(	PUNCT
ejpam-6545	215	11	20	20	NUM
ejpam-6545	215	12	)	)	PUNCT
ejpam-6545	215	13	implies	imply	VERB
ejpam-6545	215	14	oscillation	oscillation	NOUN
ejpam-6545	215	15	of	of	ADP
ejpam-6545	215	16	equation	equation	NOUN
ejpam-6545	215	17	(	(	PUNCT
ejpam-6545	215	18	19	19	NUM
ejpam-6545	215	19	)	)	PUNCT
ejpam-6545	215	20	.	.	PUNCT
ejpam-6545	216	1	thus	thus	ADV
ejpam-6545	216	2	,	,	PUNCT
ejpam-6545	216	3	from	from	ADP
ejpam-6545	216	4	theorem	theorem	ADJ
ejpam-6545	216	5	2	2	NUM
ejpam-6545	216	6	,	,	PUNCT
ejpam-6545	216	7	equation	equation	NOUN
ejpam-6545	216	8	(	(	PUNCT
ejpam-6545	216	9	1	1	X
ejpam-6545	216	10	)	)	PUNCT
ejpam-6545	216	11	oscillates	oscillate	NOUN
ejpam-6545	216	12	.	.	PUNCT
ejpam-6545	216	13	example	example	NOUN
ejpam-6545	217	1	1	1	NUM
ejpam-6545	217	2	.	.	X
ejpam-6545	217	3	consider	consider	VERB
ejpam-6545	217	4	the	the	DET
ejpam-6545	217	5	ndde	ndde	NOUN
ejpam-6545	217	6	(	(	PUNCT
ejpam-6545	217	7	x	x	X
ejpam-6545	217	8	(	(	PUNCT
ejpam-6545	217	9	s	s	NOUN
ejpam-6545	217	10	)	)	PUNCT
ejpam-6545	217	11	+	+	CCONJ
ejpam-6545	217	12	1	1	NUM
ejpam-6545	217	13	2	2	NUM
ejpam-6545	217	14	x	x	SYM
ejpam-6545	217	15	(	(	PUNCT
ejpam-6545	217	16	λs	λs	NOUN
ejpam-6545	217	17	)	)	PUNCT
ejpam-6545	217	18	)	)	PUNCT
ejpam-6545	218	1	′′	′′	PROPN
ejpam-6545	218	2	+	+	CCONJ
ejpam-6545	218	3	ℓ	ℓ	PROPN
ejpam-6545	218	4	s	s	X
ejpam-6545	218	5	(	(	PUNCT
ejpam-6545	218	6	x	x	X
ejpam-6545	218	7	(	(	PUNCT
ejpam-6545	218	8	s	s	NOUN
ejpam-6545	218	9	)	)	PUNCT
ejpam-6545	218	10	+	+	CCONJ
ejpam-6545	218	11	1	1	NUM
ejpam-6545	218	12	2	2	NUM
ejpam-6545	218	13	x	x	SYM
ejpam-6545	218	14	(	(	PUNCT
ejpam-6545	218	15	λs	λs	NOUN
ejpam-6545	218	16	)	)	PUNCT
ejpam-6545	218	17	)	)	PUNCT
ejpam-6545	218	18	′	′	NUM
ejpam-6545	219	1	+	+	CCONJ
ejpam-6545	220	1	n∑	n∑	ADJ
ejpam-6545	220	2	i=1	i=1	X
ejpam-6545	221	1	ki	ki	PROPN
ejpam-6545	221	2	s2	s2	PROPN
ejpam-6545	221	3	x	x	SYM
ejpam-6545	221	4	(	(	PUNCT
ejpam-6545	221	5	µis	µis	PROPN
ejpam-6545	221	6	)	)	PUNCT
ejpam-6545	221	7	=	=	SYM
ejpam-6545	221	8	0	0	NUM
ejpam-6545	221	9	,	,	PUNCT
ejpam-6545	221	10	(	(	PUNCT
ejpam-6545	221	11	21	21	NUM
ejpam-6545	221	12	)	)	PUNCT
ejpam-6545	221	13	where	where	SCONJ
ejpam-6545	221	14	ℓ	ℓ	PROPN
ejpam-6545	221	15	∈	∈	PROPN
ejpam-6545	222	1	[	[	X
ejpam-6545	222	2	0	0	NUM
ejpam-6545	222	3	,	,	PUNCT
ejpam-6545	222	4	1	1	NUM
ejpam-6545	222	5	)	)	PUNCT
ejpam-6545	222	6	,	,	PUNCT
ejpam-6545	223	1	λ	λ	PROPN
ejpam-6545	223	2	,	,	PUNCT
ejpam-6545	223	3	µi	µi	PROPN
ejpam-6545	223	4	∈	∈	PROPN
ejpam-6545	223	5	(	(	PUNCT
ejpam-6545	223	6	0	0	NUM
ejpam-6545	223	7	,	,	PUNCT
ejpam-6545	223	8	1	1	NUM
ejpam-6545	223	9	]	]	PUNCT
ejpam-6545	223	10	,	,	PUNCT
ejpam-6545	223	11	and	and	CCONJ
ejpam-6545	223	12	ki	ki	PROPN
ejpam-6545	223	13	>	>	X
ejpam-6545	223	14	0	0	PUNCT
ejpam-6545	224	1	for	for	ADP
ejpam-6545	224	2	i	i	PRON
ejpam-6545	224	3	=	=	NOUN
ejpam-6545	224	4	1	1	NUM
ejpam-6545	224	5	,	,	PUNCT
ejpam-6545	224	6	2	2	NUM
ejpam-6545	224	7	,	,	PUNCT
ejpam-6545	224	8	...	...	PUNCT
ejpam-6545	224	9	,	,	PUNCT
ejpam-6545	224	10	n.	n.	PROPN
ejpam-6545	224	11	then	then	ADV
ejpam-6545	224	12	,	,	PUNCT
ejpam-6545	224	13	ϱ	ϱ	PROPN
ejpam-6545	224	14	(	(	PUNCT
ejpam-6545	224	15	s	s	NOUN
ejpam-6545	224	16	)	)	PUNCT
ejpam-6545	224	17	=	=	SYM
ejpam-6545	224	18	sℓ	sℓ	NOUN
ejpam-6545	224	19	,	,	PUNCT
ejpam-6545	224	20	r	r	NOUN
ejpam-6545	224	21	(	(	PUNCT
ejpam-6545	224	22	s	s	X
ejpam-6545	224	23	)	)	PUNCT
ejpam-6545	224	24	=	=	SYM
ejpam-6545	224	25	1	1	NUM
ejpam-6545	224	26	1−	1−	NUM
ejpam-6545	224	27	ℓ	ℓ	X
ejpam-6545	224	28	s1−ℓ	s1−ℓ	PROPN
ejpam-6545	224	29	,	,	PUNCT
ejpam-6545	224	30	and	and	CCONJ
ejpam-6545	224	31	q	q	PROPN
ejpam-6545	224	32	(	(	PUNCT
ejpam-6545	224	33	s	s	X
ejpam-6545	224	34	)	)	PUNCT
ejpam-6545	224	35	=	=	SYM
ejpam-6545	224	36	1	1	NUM
ejpam-6545	224	37	2	2	NUM
ejpam-6545	225	1	sℓ	sℓ	NOUN
ejpam-6545	225	2	n∑	n∑	PROPN
ejpam-6545	225	3	i=1	i=1	PROPN
ejpam-6545	226	1	ki	ki	PROPN
ejpam-6545	226	2	s2	s2	PROPN
ejpam-6545	226	3	.	.	PUNCT
ejpam-6545	227	1	assume	assume	VERB
ejpam-6545	227	2	that	that	SCONJ
ejpam-6545	227	3	µ0	µ0	NOUN
ejpam-6545	227	4	:	:	PUNCT
ejpam-6545	227	5	=	=	SYM
ejpam-6545	227	6	min	min	PROPN
ejpam-6545	227	7	{	{	PUNCT
ejpam-6545	227	8	µi	µi	PROPN
ejpam-6545	227	9	,	,	PUNCT
ejpam-6545	227	10	i	i	PRON
ejpam-6545	227	11	=	=	NOUN
ejpam-6545	227	12	1	1	NUM
ejpam-6545	227	13	,	,	PUNCT
ejpam-6545	227	14	2	2	NUM
ejpam-6545	227	15	,	,	PUNCT
ejpam-6545	227	16	...	...	PUNCT
ejpam-6545	227	17	,	,	PUNCT
ejpam-6545	227	18	n	n	CCONJ
ejpam-6545	227	19	}	}	PUNCT
ejpam-6545	227	20	,	,	PUNCT
ejpam-6545	227	21	and	and	CCONJ
ejpam-6545	227	22	k	k	X
ejpam-6545	227	23	:	:	PUNCT
ejpam-6545	228	1	=	=	SYM
ejpam-6545	228	2	n∑	n∑	PROPN
ejpam-6545	228	3	i=1	i=1	X
ejpam-6545	229	1	ki	ki	PROPN
ejpam-6545	229	2	.	.	PUNCT
ejpam-6545	230	1	then	then	ADV
ejpam-6545	230	2	,	,	PUNCT
ejpam-6545	230	3	using	use	VERB
ejpam-6545	230	4	corollary	corollary	ADJ
ejpam-6545	230	5	2	2	NUM
ejpam-6545	230	6	,	,	PUNCT
ejpam-6545	230	7	equation	equation	NOUN
ejpam-6545	230	8	(	(	PUNCT
ejpam-6545	230	9	21	21	NUM
ejpam-6545	230	10	)	)	PUNCT
ejpam-6545	230	11	oscillates	oscillate	NOUN
ejpam-6545	230	12	if	if	SCONJ
ejpam-6545	230	13	1	1	NUM
ejpam-6545	230	14	1−	1−	NUM
ejpam-6545	230	15	ℓ	ℓ	X
ejpam-6545	230	16	µ1−ℓ	µ1−ℓ	PROPN
ejpam-6545	230	17	0	0	NUM
ejpam-6545	231	1	k	k	NOUN
ejpam-6545	231	2	ln	ln	ADJ
ejpam-6545	231	3	1	1	NUM
ejpam-6545	231	4	µ0	µ0	NOUN
ejpam-6545	231	5	>	>	X
ejpam-6545	231	6	2	2	NUM
ejpam-6545	231	7	e	e	NOUN
ejpam-6545	231	8	.	.	PUNCT
ejpam-6545	232	1	5	5	X
ejpam-6545	232	2	.	.	X
ejpam-6545	232	3	numerical	numerical	ADJ
ejpam-6545	232	4	solutions	solution	NOUN
ejpam-6545	232	5	in	in	ADP
ejpam-6545	232	6	this	this	DET
ejpam-6545	232	7	section	section	NOUN
ejpam-6545	232	8	,	,	PUNCT
ejpam-6545	232	9	we	we	PRON
ejpam-6545	232	10	include	include	VERB
ejpam-6545	232	11	figures	figure	NOUN
ejpam-6545	232	12	that	that	PRON
ejpam-6545	232	13	show	show	VERB
ejpam-6545	232	14	the	the	DET
ejpam-6545	232	15	numerical	numerical	ADJ
ejpam-6545	232	16	solution	solution	NOUN
ejpam-6545	232	17	of	of	ADP
ejpam-6545	232	18	the	the	DET
ejpam-6545	232	19	following	follow	VERB
ejpam-6545	232	20	example	example	NOUN
ejpam-6545	232	21	example	example	NOUN
ejpam-6545	232	22	2	2	X
ejpam-6545	232	23	.	.	X
ejpam-6545	232	24	consider	consider	VERB
ejpam-6545	232	25	the	the	DET
ejpam-6545	232	26	ndde	ndde	NOUN
ejpam-6545	232	27	d	d	X
ejpam-6545	232	28	ds	ds	X
ejpam-6545	232	29	(	(	PUNCT
ejpam-6545	232	30	(	(	PUNCT
ejpam-6545	232	31	s+	s+	X
ejpam-6545	232	32	1	1	X
ejpam-6545	232	33	)	)	PUNCT
ejpam-6545	233	1	d	d	NOUN
ejpam-6545	233	2	ds	ds	X
ejpam-6545	233	3	[	[	X
ejpam-6545	233	4	x(s	x(s	PROPN
ejpam-6545	233	5	)	)	PUNCT
ejpam-6545	234	1	+	+	CCONJ
ejpam-6545	234	2	0.4x(s−	0.4x(s−	NUM
ejpam-6545	234	3	1	1	NUM
ejpam-6545	234	4	)	)	PUNCT
ejpam-6545	234	5	]	]	PUNCT
ejpam-6545	234	6	)	)	PUNCT
ejpam-6545	235	1	+	+	CCONJ
ejpam-6545	235	2	1	1	NUM
ejpam-6545	235	3	s+	s+	SYM
ejpam-6545	235	4	1	1	NUM
ejpam-6545	235	5	d	d	NOUN
ejpam-6545	235	6	ds	ds	X
ejpam-6545	235	7	[	[	X
ejpam-6545	235	8	x(s	x(s	PROPN
ejpam-6545	235	9	)	)	PUNCT
ejpam-6545	235	10	+	+	CCONJ
ejpam-6545	235	11	0.4x(s−	0.4x(s−	NUM
ejpam-6545	235	12	1	1	NUM
ejpam-6545	235	13	)	)	PUNCT
ejpam-6545	235	14	]	]	PUNCT
ejpam-6545	236	1	+	+	CCONJ
ejpam-6545	236	2	2x(s−	2x(s−	NUM
ejpam-6545	236	3	2	2	NUM
ejpam-6545	236	4	)	)	PUNCT
ejpam-6545	236	5	+	+	CCONJ
ejpam-6545	236	6	2x(s−	2x(s−	NUM
ejpam-6545	236	7	3	3	NUM
ejpam-6545	236	8	)	)	PUNCT
ejpam-6545	236	9	=	=	SYM
ejpam-6545	236	10	0	0	PUNCT
ejpam-6545	237	1	(	(	PUNCT
ejpam-6545	237	2	22	22	NUM
ejpam-6545	237	3	)	)	PUNCT
ejpam-6545	237	4	with	with	ADP
ejpam-6545	237	5	history	history	NOUN
ejpam-6545	237	6	x(s	x(s	PROPN
ejpam-6545	237	7	)	)	PUNCT
ejpam-6545	238	1	=	=	PUNCT
ejpam-6545	238	2	cos(s	cos(s	X
ejpam-6545	238	3	)	)	PUNCT
ejpam-6545	238	4	for	for	ADP
ejpam-6545	238	5	s	s	NOUN
ejpam-6545	238	6	≤	≤	NOUN
ejpam-6545	238	7	3	3	NUM
ejpam-6545	238	8	.	.	PUNCT
ejpam-6545	239	1	we	we	PRON
ejpam-6545	239	2	solve	solve	VERB
ejpam-6545	239	3	equation	equation	NOUN
ejpam-6545	239	4	(	(	PUNCT
ejpam-6545	239	5	22	22	NUM
ejpam-6545	239	6	)	)	PUNCT
ejpam-6545	239	7	numerically	numerically	ADV
ejpam-6545	239	8	by	by	ADP
ejpam-6545	239	9	transforming	transform	VERB
ejpam-6545	239	10	it	it	PRON
ejpam-6545	239	11	into	into	ADP
ejpam-6545	239	12	a	a	DET
ejpam-6545	239	13	first	first	ADJ
ejpam-6545	239	14	-	-	PUNCT
ejpam-6545	239	15	order	order	NOUN
ejpam-6545	239	16	system	system	NOUN
ejpam-6545	239	17	based	base	VERB
ejpam-6545	239	18	on	on	ADP
ejpam-6545	239	19	defining	define	VERB
ejpam-6545	239	20	x1(s	x1(s	PRON
ejpam-6545	239	21	)	)	PUNCT
ejpam-6545	239	22	=	=	SYM
ejpam-6545	239	23	x(s	x(s	PROPN
ejpam-6545	239	24	)	)	PUNCT
ejpam-6545	239	25	,	,	PUNCT
ejpam-6545	239	26	x2(s	x2(s	X
ejpam-6545	239	27	)	)	PUNCT
ejpam-6545	239	28	=	=	SYM
ejpam-6545	240	1	x′1(s	x′1(	NOUN
ejpam-6545	240	2	)	)	PUNCT
ejpam-6545	240	3	in	in	ADP
ejpam-6545	240	4	the	the	DET
ejpam-6545	240	5	following	follow	VERB
ejpam-6545	240	6	form	form	NOUN
ejpam-6545	240	7	x′1(s	x′1(s	PRON
ejpam-6545	240	8	)	)	PUNCT
ejpam-6545	240	9	=	=	SYM
ejpam-6545	241	1	x2(s	x2(s	PROPN
ejpam-6545	241	2	)	)	PUNCT
ejpam-6545	241	3	,	,	PUNCT
ejpam-6545	241	4	s.	s.	PROPN
ejpam-6545	241	5	aloraini	aloraini	PROPN
ejpam-6545	241	6	,	,	PUNCT
ejpam-6545	241	7	a.	a.	PROPN
ejpam-6545	241	8	s.	s.	PROPN
ejpam-6545	241	9	almohaimeed	almohaimee	VERB
ejpam-6545	241	10	,	,	PUNCT
ejpam-6545	241	11	o.	o.	PROPN
ejpam-6545	241	12	moaaz	moaaz	PROPN
ejpam-6545	241	13	/	/	SYM
ejpam-6545	241	14	eur	eur	PROPN
ejpam-6545	241	15	.	.	PUNCT
ejpam-6545	242	1	j.	j.	PROPN
ejpam-6545	242	2	pure	pure	PROPN
ejpam-6545	242	3	appl	appl	PROPN
ejpam-6545	242	4	.	.	PROPN
ejpam-6545	242	5	math	math	PROPN
ejpam-6545	242	6	,	,	PUNCT
ejpam-6545	242	7	18	18	NUM
ejpam-6545	242	8	(	(	PUNCT
ejpam-6545	242	9	4	4	NUM
ejpam-6545	242	10	)	)	PUNCT
ejpam-6545	242	11	(	(	PUNCT
ejpam-6545	242	12	2025	2025	NUM
ejpam-6545	242	13	)	)	PUNCT
ejpam-6545	242	14	,	,	PUNCT
ejpam-6545	242	15	6545	6545	NUM
ejpam-6545	242	16	11	11	NUM
ejpam-6545	242	17	of	of	ADP
ejpam-6545	242	18	15	15	NUM
ejpam-6545	242	19	x′2(s	x′2(s	PROPN
ejpam-6545	242	20	)	)	PUNCT
ejpam-6545	243	1	=	=	PUNCT
ejpam-6545	243	2	−0.4x′2(s−	−0.4x′2(s−	PROPN
ejpam-6545	244	1	1)−	1)−	NUM
ejpam-6545	244	2	s+	s+	NUM
ejpam-6545	244	3	2	2	NUM
ejpam-6545	244	4	(	(	PUNCT
ejpam-6545	244	5	s+	s+	X
ejpam-6545	244	6	1)2	1)2	NUM
ejpam-6545	244	7	(	(	PUNCT
ejpam-6545	244	8	x2	x2	PROPN
ejpam-6545	244	9	(	(	PUNCT
ejpam-6545	244	10	s	s	NOUN
ejpam-6545	244	11	)	)	PUNCT
ejpam-6545	244	12	+	+	NUM
ejpam-6545	244	13	0.4x	0.4x	NOUN
ejpam-6545	244	14	(	(	PUNCT
ejpam-6545	244	15	s−	s−	PROPN
ejpam-6545	244	16	1	1	NUM
ejpam-6545	244	17	)	)	PUNCT
ejpam-6545	244	18	)	)	PUNCT
ejpam-6545	244	19	(	(	PUNCT
ejpam-6545	244	20	23	23	NUM
ejpam-6545	244	21	)	)	PUNCT
ejpam-6545	244	22	−	−	ADP
ejpam-6545	244	23	2	2	NUM
ejpam-6545	244	24	s+	s+	NUM
ejpam-6545	244	25	1	1	NUM
ejpam-6545	244	26	(	(	PUNCT
ejpam-6545	244	27	x1	x1	PROPN
ejpam-6545	244	28	(	(	PUNCT
ejpam-6545	244	29	s−	s−	PROPN
ejpam-6545	244	30	2	2	NUM
ejpam-6545	244	31	)	)	PUNCT
ejpam-6545	244	32	+	+	CCONJ
ejpam-6545	245	1	x1	x1	PROPN
ejpam-6545	245	2	(	(	PUNCT
ejpam-6545	245	3	s−	s−	PROPN
ejpam-6545	245	4	3	3	NUM
ejpam-6545	245	5	)	)	PUNCT
ejpam-6545	245	6	)	)	PUNCT
ejpam-6545	245	7	.	.	PUNCT
ejpam-6545	246	1	we	we	PRON
ejpam-6545	246	2	then	then	ADV
ejpam-6545	246	3	use	use	VERB
ejpam-6545	246	4	matlab	matlab	PROPN
ejpam-6545	246	5	2024	2024	NUM
ejpam-6545	246	6	to	to	PART
ejpam-6545	246	7	find	find	VERB
ejpam-6545	246	8	the	the	DET
ejpam-6545	246	9	numerical	numerical	ADJ
ejpam-6545	246	10	solutions	solution	NOUN
ejpam-6545	246	11	of	of	ADP
ejpam-6545	246	12	the	the	DET
ejpam-6545	246	13	transformed	transform	VERB
ejpam-6545	246	14	system	system	NOUN
ejpam-6545	246	15	(	(	PUNCT
ejpam-6545	246	16	23	23	NUM
ejpam-6545	246	17	)	)	PUNCT
ejpam-6545	246	18	.	.	PUNCT
ejpam-6545	247	1	the	the	DET
ejpam-6545	247	2	numerical	numerical	ADJ
ejpam-6545	247	3	solution	solution	NOUN
ejpam-6545	247	4	of	of	ADP
ejpam-6545	247	5	the	the	DET
ejpam-6545	247	6	given	give	VERB
ejpam-6545	247	7	equation	equation	NOUN
ejpam-6545	247	8	(	(	PUNCT
ejpam-6545	247	9	22	22	NUM
ejpam-6545	247	10	)	)	PUNCT
ejpam-6545	247	11	is	be	AUX
ejpam-6545	247	12	shown	show	VERB
ejpam-6545	247	13	in	in	ADP
ejpam-6545	247	14	figure	figure	NOUN
ejpam-6545	247	15	1	1	NUM
ejpam-6545	247	16	.	.	PUNCT
ejpam-6545	248	1	the	the	DET
ejpam-6545	248	2	oscillatory	oscillatory	ADJ
ejpam-6545	248	3	behavior	behavior	NOUN
ejpam-6545	248	4	is	be	AUX
ejpam-6545	248	5	present	present	ADJ
ejpam-6545	248	6	and	and	CCONJ
ejpam-6545	248	7	can	can	AUX
ejpam-6545	248	8	be	be	AUX
ejpam-6545	248	9	seen	see	VERB
ejpam-6545	248	10	in	in	ADP
ejpam-6545	248	11	the	the	DET
ejpam-6545	248	12	solutions	solution	NOUN
ejpam-6545	248	13	.	.	PUNCT
ejpam-6545	249	1	the	the	DET
ejpam-6545	249	2	numerical	numerical	ADJ
ejpam-6545	249	3	solution	solution	NOUN
ejpam-6545	249	4	shown	show	VERB
ejpam-6545	249	5	in	in	ADP
ejpam-6545	249	6	this	this	DET
ejpam-6545	249	7	figure	figure	NOUN
ejpam-6545	249	8	is	be	AUX
ejpam-6545	249	9	consistent	consistent	ADJ
ejpam-6545	249	10	with	with	ADP
ejpam-6545	249	11	the	the	DET
ejpam-6545	249	12	analytical	analytical	ADJ
ejpam-6545	249	13	investigations	investigation	NOUN
ejpam-6545	249	14	discussed	discuss	VERB
ejpam-6545	249	15	in	in	ADP
ejpam-6545	249	16	the	the	DET
ejpam-6545	249	17	previous	previous	ADJ
ejpam-6545	249	18	section	section	NOUN
ejpam-6545	249	19	.	.	PUNCT
ejpam-6545	250	1	figure	figure	NOUN
ejpam-6545	250	2	1	1	NUM
ejpam-6545	250	3	shows	show	VERB
ejpam-6545	250	4	the	the	DET
ejpam-6545	250	5	numerical	numerical	ADJ
ejpam-6545	250	6	solution	solution	NOUN
ejpam-6545	250	7	of	of	ADP
ejpam-6545	250	8	the	the	DET
ejpam-6545	250	9	given	give	VERB
ejpam-6545	250	10	equation	equation	NOUN
ejpam-6545	250	11	(	(	PUNCT
ejpam-6545	250	12	22	22	NUM
ejpam-6545	250	13	)	)	PUNCT
ejpam-6545	250	14	,	,	PUNCT
ejpam-6545	250	15	whereas	whereas	SCONJ
ejpam-6545	250	16	figure	figure	NOUN
ejpam-6545	250	17	2	2	NUM
ejpam-6545	250	18	illustrates	illustrate	VERB
ejpam-6545	250	19	the	the	DET
ejpam-6545	250	20	numerical	numerical	ADJ
ejpam-6545	250	21	solution	solution	NOUN
ejpam-6545	250	22	of	of	ADP
ejpam-6545	250	23	the	the	DET
ejpam-6545	250	24	same	same	ADJ
ejpam-6545	250	25	equation	equation	NOUN
ejpam-6545	250	26	in	in	ADP
ejpam-6545	250	27	the	the	DET
ejpam-6545	250	28	absence	absence	NOUN
ejpam-6545	250	29	of	of	ADP
ejpam-6545	250	30	the	the	DET
ejpam-6545	250	31	damping	damp	VERB
ejpam-6545	250	32	term	term	NOUN
ejpam-6545	250	33	.	.	PUNCT
ejpam-6545	251	1	the	the	DET
ejpam-6545	251	2	effect	effect	NOUN
ejpam-6545	251	3	of	of	ADP
ejpam-6545	251	4	damping	damp	VERB
ejpam-6545	251	5	can	can	AUX
ejpam-6545	251	6	be	be	AUX
ejpam-6545	251	7	clearly	clearly	ADV
ejpam-6545	251	8	seen	see	VERB
ejpam-6545	251	9	when	when	SCONJ
ejpam-6545	251	10	comparing	compare	VERB
ejpam-6545	251	11	the	the	DET
ejpam-6545	251	12	two	two	NUM
ejpam-6545	251	13	figures	figure	NOUN
ejpam-6545	251	14	.	.	PUNCT
ejpam-6545	252	1	figure	figure	VERB
ejpam-6545	252	2	1	1	NUM
ejpam-6545	252	3	:	:	PUNCT
ejpam-6545	252	4	numerical	numerical	ADJ
ejpam-6545	252	5	solution	solution	NOUN
ejpam-6545	252	6	of	of	ADP
ejpam-6545	252	7	equation	equation	NOUN
ejpam-6545	252	8	(	(	PUNCT
ejpam-6545	252	9	22	22	NUM
ejpam-6545	252	10	)	)	PUNCT
ejpam-6545	252	11	6	6	NUM
ejpam-6545	252	12	.	.	PUNCT
ejpam-6545	253	1	conclusion	conclusion	NOUN
ejpam-6545	253	2	analyzing	analyze	VERB
ejpam-6545	253	3	the	the	DET
ejpam-6545	253	4	monotonic	monotonic	ADJ
ejpam-6545	253	5	,	,	PUNCT
ejpam-6545	253	6	asymptotic	asymptotic	ADJ
ejpam-6545	253	7	,	,	PUNCT
ejpam-6545	253	8	and	and	CCONJ
ejpam-6545	253	9	oscillatory	oscillatory	ADJ
ejpam-6545	253	10	characteristics	characteristic	NOUN
ejpam-6545	253	11	of	of	ADP
ejpam-6545	253	12	solutions	solution	NOUN
ejpam-6545	253	13	to	to	ADP
ejpam-6545	253	14	des	des	PROPN
ejpam-6545	253	15	is	be	AUX
ejpam-6545	253	16	fundamental	fundamental	ADJ
ejpam-6545	253	17	for	for	ADP
ejpam-6545	253	18	understanding	understand	VERB
ejpam-6545	253	19	the	the	DET
ejpam-6545	253	20	behavior	behavior	NOUN
ejpam-6545	253	21	of	of	ADP
ejpam-6545	253	22	the	the	DET
ejpam-6545	253	23	models	model	NOUN
ejpam-6545	253	24	described	describe	VERB
ejpam-6545	253	25	by	by	ADP
ejpam-6545	253	26	these	these	DET
ejpam-6545	253	27	equations	equation	NOUN
ejpam-6545	253	28	.	.	PUNCT
ejpam-6545	254	1	as	as	SCONJ
ejpam-6545	254	2	it	it	PRON
ejpam-6545	254	3	is	be	AUX
ejpam-6545	254	4	shown	show	VERB
ejpam-6545	254	5	in	in	ADP
ejpam-6545	254	6	our	our	PRON
ejpam-6545	254	7	findings	finding	NOUN
ejpam-6545	254	8	,	,	PUNCT
ejpam-6545	254	9	we	we	PRON
ejpam-6545	254	10	derive	derive	VERB
ejpam-6545	254	11	some	some	DET
ejpam-6545	254	12	new	new	ADJ
ejpam-6545	254	13	monotonic	monotonic	ADJ
ejpam-6545	254	14	and	and	CCONJ
ejpam-6545	254	15	asymptotic	asymptotic	ADJ
ejpam-6545	254	16	properties	property	NOUN
ejpam-6545	254	17	for	for	ADP
ejpam-6545	254	18	positive	positive	ADJ
ejpam-6545	254	19	solutions	solution	NOUN
ejpam-6545	254	20	to	to	ADP
ejpam-6545	254	21	ndes	nde	NOUN
ejpam-6545	254	22	with	with	ADP
ejpam-6545	254	23	multiple	multiple	ADJ
ejpam-6545	254	24	delays	delay	NOUN
ejpam-6545	254	25	and	and	CCONJ
ejpam-6545	254	26	a	a	DET
ejpam-6545	254	27	damping	damp	VERB
ejpam-6545	254	28	term	term	NOUN
ejpam-6545	254	29	(	(	PUNCT
ejpam-6545	254	30	1	1	NUM
ejpam-6545	254	31	)	)	PUNCT
ejpam-6545	254	32	.	.	PUNCT
ejpam-6545	255	1	we	we	PRON
ejpam-6545	255	2	then	then	ADV
ejpam-6545	255	3	used	use	VERB
ejpam-6545	255	4	these	these	DET
ejpam-6545	255	5	properties	property	NOUN
ejpam-6545	255	6	to	to	PART
ejpam-6545	255	7	derive	derive	VERB
ejpam-6545	255	8	sufficient	sufficient	ADJ
ejpam-6545	255	9	criteria	criterion	NOUN
ejpam-6545	255	10	for	for	ADP
ejpam-6545	255	11	the	the	DET
ejpam-6545	255	12	oscillation	oscillation	NOUN
ejpam-6545	255	13	of	of	ADP
ejpam-6545	255	14	all	all	DET
ejpam-6545	255	15	solutions	solution	NOUN
ejpam-6545	255	16	of	of	ADP
ejpam-6545	255	17	the	the	DET
ejpam-6545	255	18	equation	equation	NOUN
ejpam-6545	255	19	under	under	ADP
ejpam-6545	255	20	consideration	consideration	NOUN
ejpam-6545	255	21	.	.	PUNCT
ejpam-6545	256	1	we	we	PRON
ejpam-6545	256	2	also	also	ADV
ejpam-6545	256	3	applied	apply	VERB
ejpam-6545	256	4	our	our	PRON
ejpam-6545	256	5	outcomes	outcome	NOUN
ejpam-6545	256	6	to	to	ADP
ejpam-6545	256	7	the	the	DET
ejpam-6545	256	8	special	special	ADJ
ejpam-6545	256	9	case	case	NOUN
ejpam-6545	256	10	in	in	ADP
ejpam-6545	256	11	example	example	NOUN
ejpam-6545	256	12	21	21	NUM
ejpam-6545	256	13	.	.	PUNCT
ejpam-6545	257	1	the	the	DET
ejpam-6545	257	2	improved	improve	VERB
ejpam-6545	257	3	methodology	methodology	NOUN
ejpam-6545	257	4	employed	employ	VERB
ejpam-6545	257	5	in	in	ADP
ejpam-6545	257	6	the	the	DET
ejpam-6545	257	7	analysis	analysis	NOUN
ejpam-6545	257	8	and	and	CCONJ
ejpam-6545	257	9	investigation	investigation	NOUN
ejpam-6545	257	10	of	of	ADP
ejpam-6545	257	11	the	the	DET
ejpam-6545	257	12	oscillatory	oscillatory	ADJ
ejpam-6545	257	13	behavior	behavior	NOUN
ejpam-6545	257	14	of	of	ADP
ejpam-6545	257	15	equations	equation	NOUN
ejpam-6545	257	16	with	with	ADP
ejpam-6545	257	17	numerous	numerous	ADJ
ejpam-6545	257	18	delays	delay	NOUN
ejpam-6545	257	19	and	and	CCONJ
ejpam-6545	257	20	a	a	DET
ejpam-6545	257	21	middle	middle	ADJ
ejpam-6545	257	22	term	term	NOUN
ejpam-6545	257	23	is	be	AUX
ejpam-6545	257	24	what	what	PRON
ejpam-6545	257	25	s.	s.	PROPN
ejpam-6545	257	26	aloraini	aloraini	PROPN
ejpam-6545	257	27	,	,	PUNCT
ejpam-6545	257	28	a.	a.	PROPN
ejpam-6545	257	29	s.	s.	PROPN
ejpam-6545	257	30	almohaimeed	almohaimee	VERB
ejpam-6545	257	31	,	,	PUNCT
ejpam-6545	257	32	o.	o.	PROPN
ejpam-6545	257	33	moaaz	moaaz	PROPN
ejpam-6545	257	34	/	/	SYM
ejpam-6545	257	35	eur	eur	PROPN
ejpam-6545	257	36	.	.	PUNCT
ejpam-6545	258	1	j.	j.	PROPN
ejpam-6545	258	2	pure	pure	PROPN
ejpam-6545	258	3	appl	appl	PROPN
ejpam-6545	258	4	.	.	PROPN
ejpam-6545	258	5	math	math	PROPN
ejpam-6545	258	6	,	,	PUNCT
ejpam-6545	258	7	18	18	NUM
ejpam-6545	258	8	(	(	PUNCT
ejpam-6545	258	9	4	4	NUM
ejpam-6545	258	10	)	)	PUNCT
ejpam-6545	258	11	(	(	PUNCT
ejpam-6545	258	12	2025	2025	NUM
ejpam-6545	258	13	)	)	PUNCT
ejpam-6545	258	14	,	,	PUNCT
ejpam-6545	258	15	6545	6545	NUM
ejpam-6545	258	16	12	12	NUM
ejpam-6545	258	17	of	of	ADP
ejpam-6545	258	18	15	15	NUM
ejpam-6545	258	19	figure	figure	NOUN
ejpam-6545	258	20	2	2	NUM
ejpam-6545	258	21	:	:	PUNCT
ejpam-6545	258	22	numerical	numerical	ADJ
ejpam-6545	258	23	solution	solution	NOUN
ejpam-6545	258	24	of	of	ADP
ejpam-6545	258	25	equation	equation	NOUN
ejpam-6545	258	26	(	(	PUNCT
ejpam-6545	258	27	22	22	NUM
ejpam-6545	258	28	)	)	PUNCT
ejpam-6545	258	29	without	without	ADP
ejpam-6545	258	30	damping	damp	VERB
ejpam-6545	258	31	makes	make	VERB
ejpam-6545	258	32	our	our	PRON
ejpam-6545	258	33	results	result	NOUN
ejpam-6545	258	34	distinctive	distinctive	ADJ
ejpam-6545	258	35	.	.	PUNCT
ejpam-6545	259	1	a	a	DET
ejpam-6545	259	2	natural	natural	ADJ
ejpam-6545	259	3	progression	progression	NOUN
ejpam-6545	259	4	and	and	CCONJ
ejpam-6545	259	5	forthcoming	forthcoming	ADJ
ejpam-6545	259	6	challenge	challenge	NOUN
ejpam-6545	259	7	of	of	ADP
ejpam-6545	259	8	this	this	DET
ejpam-6545	259	9	research	research	NOUN
ejpam-6545	259	10	is	be	AUX
ejpam-6545	259	11	examining	examine	VERB
ejpam-6545	259	12	the	the	DET
ejpam-6545	259	13	oscillatory	oscillatory	ADJ
ejpam-6545	259	14	behavior	behavior	NOUN
ejpam-6545	259	15	and	and	CCONJ
ejpam-6545	259	16	asymptotic	asymptotic	ADJ
ejpam-6545	259	17	characteristics	characteristic	NOUN
ejpam-6545	259	18	of	of	ADP
ejpam-6545	259	19	solutions	solution	NOUN
ejpam-6545	259	20	for	for	ADP
ejpam-6545	259	21	higher	high	ADJ
ejpam-6545	259	22	-	-	PUNCT
ejpam-6545	259	23	order	order	NOUN
ejpam-6545	259	24	neutral	neutral	ADJ
ejpam-6545	259	25	delay	delay	NOUN
ejpam-6545	259	26	differential	differential	ADJ
ejpam-6545	259	27	equations	equation	NOUN
ejpam-6545	259	28	,	,	PUNCT
ejpam-6545	259	29	where	where	SCONJ
ejpam-6545	259	30	the	the	DET
ejpam-6545	259	31	interplay	interplay	NOUN
ejpam-6545	259	32	between	between	ADP
ejpam-6545	259	33	delay	delay	NOUN
ejpam-6545	259	34	and	and	CCONJ
ejpam-6545	259	35	neutral	neutral	ADJ
ejpam-6545	259	36	components	component	NOUN
ejpam-6545	259	37	becomes	become	VERB
ejpam-6545	259	38	progressively	progressively	ADV
ejpam-6545	259	39	intricate	intricate	ADJ
ejpam-6545	259	40	.	.	PUNCT
ejpam-6545	260	1	acknowledgements	acknowledgement	NOUN
ejpam-6545	260	2	the	the	DET
ejpam-6545	260	3	authors	author	NOUN
ejpam-6545	260	4	gratefully	gratefully	ADV
ejpam-6545	260	5	acknowledge	acknowledge	VERB
ejpam-6545	260	6	qassim	qassim	PROPN
ejpam-6545	260	7	university	university	PROPN
ejpam-6545	260	8	,	,	PUNCT
ejpam-6545	260	9	represented	represent	VERB
ejpam-6545	260	10	by	by	ADP
ejpam-6545	260	11	the	the	DET
ejpam-6545	260	12	deanship	deanship	NOUN
ejpam-6545	260	13	of	of	ADP
ejpam-6545	260	14	graduate	graduate	NOUN
ejpam-6545	260	15	studies	study	NOUN
ejpam-6545	260	16	and	and	CCONJ
ejpam-6545	260	17	scientific	scientific	ADJ
ejpam-6545	260	18	research	research	NOUN
ejpam-6545	260	19	,	,	PUNCT
ejpam-6545	260	20	on	on	ADP
ejpam-6545	260	21	the	the	DET
ejpam-6545	260	22	financial	financial	ADJ
ejpam-6545	260	23	support	support	NOUN
ejpam-6545	260	24	for	for	ADP
ejpam-6545	260	25	this	this	DET
ejpam-6545	260	26	research	research	NOUN
ejpam-6545	260	27	under	under	ADP
ejpam-6545	260	28	the	the	DET
ejpam-6545	260	29	number	number	NOUN
ejpam-6545	260	30	(	(	PUNCT
ejpam-6545	260	31	qu	qu	PROPN
ejpam-6545	260	32	-	-	PROPN
ejpam-6545	260	33	j	j	NOUN
ejpam-6545	260	34	-	-	PUNCT
ejpam-6545	260	35	pg-2	pg-2	NOUN
ejpam-6545	260	36	-	-	PUNCT
ejpam-6545	260	37	2025	2025	NUM
ejpam-6545	260	38	-	-	SYM
ejpam-6545	260	39	53684	53684	NUM
ejpam-6545	260	40	)	)	PUNCT
ejpam-6545	260	41	during	during	ADP
ejpam-6545	260	42	the	the	DET
ejpam-6545	260	43	academic	academic	ADJ
ejpam-6545	260	44	year	year	NOUN
ejpam-6545	260	45	1446ah	1446ah	PROPN
ejpam-6545	260	46	/	/	SYM
ejpam-6545	260	47	2024	2024	NUM
ejpam-6545	260	48	ad	ad	NOUN
ejpam-6545	260	49	.	.	PUNCT
ejpam-6545	261	1	conflict	conflict	NOUN
ejpam-6545	261	2	of	of	ADP
ejpam-6545	261	3	interest	interest	NOUN
ejpam-6545	261	4	the	the	DET
ejpam-6545	261	5	authors	author	NOUN
ejpam-6545	261	6	declare	declare	VERB
ejpam-6545	261	7	there	there	PRON
ejpam-6545	261	8	is	be	VERB
ejpam-6545	261	9	no	no	DET
ejpam-6545	261	10	conflicts	conflict	NOUN
ejpam-6545	261	11	of	of	ADP
ejpam-6545	261	12	interest	interest	NOUN
ejpam-6545	261	13	.	.	PUNCT
ejpam-6545	262	1	data	datum	NOUN
ejpam-6545	262	2	availability	availability	NOUN
ejpam-6545	262	3	statement	statement	NOUN
ejpam-6545	262	4	no	no	DET
ejpam-6545	262	5	data	datum	NOUN
ejpam-6545	262	6	resulting	result	VERB
ejpam-6545	262	7	from	from	ADP
ejpam-6545	262	8	this	this	DET
ejpam-6545	262	9	study	study	NOUN
ejpam-6545	262	10	.	.	PUNCT
ejpam-6545	263	1	references	reference	NOUN
ejpam-6545	263	2	[	[	X
ejpam-6545	263	3	1	1	NUM
ejpam-6545	263	4	]	]	PUNCT
ejpam-6545	263	5	r.	r.	PROPN
ejpam-6545	263	6	p.	p.	PROPN
ejpam-6545	263	7	agarwal	agarwal	PROPN
ejpam-6545	263	8	and	and	CCONJ
ejpam-6545	263	9	p.	p.	PROPN
ejpam-6545	263	10	j.	j.	PROPN
ejpam-6545	263	11	y.	y.	PROPN
ejpam-6545	263	12	wong	wong	PROPN
ejpam-6545	263	13	.	.	PUNCT
ejpam-6545	264	1	advanced	advanced	ADJ
ejpam-6545	264	2	topics	topic	NOUN
ejpam-6545	264	3	in	in	ADP
ejpam-6545	264	4	differential	differential	ADJ
ejpam-6545	264	5	equations	equation	NOUN
ejpam-6545	264	6	.	.	PUNCT
ejpam-6545	265	1	marcel	marcel	PROPN
ejpam-6545	265	2	dekker	dekker	PROPN
ejpam-6545	265	3	,	,	PUNCT
ejpam-6545	265	4	new	new	PROPN
ejpam-6545	265	5	york	york	PROPN
ejpam-6545	265	6	,	,	PUNCT
ejpam-6545	265	7	1995	1995	NUM
ejpam-6545	265	8	.	.	PUNCT
ejpam-6545	266	1	s.	s.	PROPN
ejpam-6545	266	2	aloraini	aloraini	PROPN
ejpam-6545	266	3	,	,	PUNCT
ejpam-6545	266	4	a.	a.	PROPN
ejpam-6545	266	5	s.	s.	PROPN
ejpam-6545	266	6	almohaimeed	almohaimee	VERB
ejpam-6545	266	7	,	,	PUNCT
ejpam-6545	266	8	o.	o.	PROPN
ejpam-6545	266	9	moaaz	moaaz	PROPN
ejpam-6545	266	10	/	/	SYM
ejpam-6545	266	11	eur	eur	PROPN
ejpam-6545	266	12	.	.	PUNCT
ejpam-6545	267	1	j.	j.	PROPN
ejpam-6545	267	2	pure	pure	PROPN
ejpam-6545	267	3	appl	appl	PROPN
ejpam-6545	267	4	.	.	PROPN
ejpam-6545	267	5	math	math	PROPN
ejpam-6545	267	6	,	,	PUNCT
ejpam-6545	267	7	18	18	NUM
ejpam-6545	267	8	(	(	PUNCT
ejpam-6545	267	9	4	4	NUM
ejpam-6545	267	10	)	)	PUNCT
ejpam-6545	267	11	(	(	PUNCT
ejpam-6545	267	12	2025	2025	NUM
ejpam-6545	267	13	)	)	PUNCT
ejpam-6545	267	14	,	,	PUNCT
ejpam-6545	267	15	6545	6545	NUM
ejpam-6545	267	16	13	13	NUM
ejpam-6545	267	17	of	of	ADP
ejpam-6545	267	18	15	15	NUM
ejpam-6545	267	19	[	[	SYM
ejpam-6545	267	20	2	2	NUM
ejpam-6545	267	21	]	]	PUNCT
ejpam-6545	267	22	r.	r.	PROPN
ejpam-6545	267	23	m.	m.	PROPN
ejpam-6545	267	24	hafez	hafez	PROPN
ejpam-6545	267	25	and	and	CCONJ
ejpam-6545	267	26	y.	y.	PROPN
ejpam-6545	267	27	h.	h.	PROPN
ejpam-6545	267	28	youssri	youssri	PROPN
ejpam-6545	267	29	.	.	PUNCT
ejpam-6545	268	1	legendre	legendre	NOUN
ejpam-6545	268	2	-	-	PUNCT
ejpam-6545	268	3	collocation	collocation	NOUN
ejpam-6545	268	4	spectral	spectral	ADJ
ejpam-6545	268	5	solver	solver	NOUN
ejpam-6545	268	6	for	for	ADP
ejpam-6545	268	7	variable	variable	ADJ
ejpam-6545	268	8	-	-	PUNCT
ejpam-6545	268	9	order	order	NOUN
ejpam-6545	268	10	fractional	fractional	ADJ
ejpam-6545	268	11	functional	functional	ADJ
ejpam-6545	268	12	differential	differential	NOUN
ejpam-6545	268	13	equations	equation	NOUN
ejpam-6545	268	14	.	.	PUNCT
ejpam-6545	269	1	computational	computational	ADJ
ejpam-6545	269	2	methods	method	NOUN
ejpam-6545	269	3	for	for	ADP
ejpam-6545	269	4	differential	differential	ADJ
ejpam-6545	269	5	equations	equation	NOUN
ejpam-6545	269	6	,	,	PUNCT
ejpam-6545	269	7	8:99–110	8:99–110	NUM
ejpam-6545	269	8	,	,	PUNCT
ejpam-6545	269	9	2020	2020	NUM
ejpam-6545	269	10	.	.	PUNCT
ejpam-6545	270	1	[	[	X
ejpam-6545	270	2	3	3	NUM
ejpam-6545	270	3	]	]	X
ejpam-6545	270	4	r.	r.	PROPN
ejpam-6545	270	5	m.	m.	PROPN
ejpam-6545	270	6	hafez	hafez	PROPN
ejpam-6545	270	7	and	and	CCONJ
ejpam-6545	270	8	y.	y.	PROPN
ejpam-6545	270	9	h.	h.	PROPN
ejpam-6545	270	10	youssri	youssri	PROPN
ejpam-6545	270	11	.	.	PUNCT
ejpam-6545	271	1	shifted	shift	VERB
ejpam-6545	271	2	gegenbauer	gegenbauer	PROPN
ejpam-6545	271	3	-	-	PUNCT
ejpam-6545	271	4	gauss	gaus	VERB
ejpam-6545	271	5	collocation	collocation	NOUN
ejpam-6545	271	6	method	method	NOUN
ejpam-6545	271	7	for	for	ADP
ejpam-6545	271	8	solving	solve	VERB
ejpam-6545	271	9	fractional	fractional	ADJ
ejpam-6545	271	10	neutral	neutral	ADJ
ejpam-6545	271	11	functional	functional	ADJ
ejpam-6545	271	12	-	-	PUNCT
ejpam-6545	271	13	differential	differential	NOUN
ejpam-6545	271	14	equations	equation	NOUN
ejpam-6545	271	15	with	with	ADP
ejpam-6545	271	16	proportional	proportional	ADJ
ejpam-6545	271	17	delays	delay	NOUN
ejpam-6545	271	18	.	.	PUNCT
ejpam-6545	272	1	kragujevac	kragujevac	PROPN
ejpam-6545	272	2	journal	journal	PROPN
ejpam-6545	272	3	of	of	ADP
ejpam-6545	272	4	mathematics	mathematic	NOUN
ejpam-6545	272	5	,	,	PUNCT
ejpam-6545	272	6	46:981–996	46:981–996	NOUN
ejpam-6545	272	7	,	,	PUNCT
ejpam-6545	272	8	2022	2022	NUM
ejpam-6545	272	9	.	.	PUNCT
ejpam-6545	273	1	[	[	X
ejpam-6545	273	2	4	4	NUM
ejpam-6545	273	3	]	]	X
ejpam-6545	273	4	c.	c.	PROPN
ejpam-6545	273	5	g.	g.	PROPN
ejpam-6545	273	6	philos	philos	PROPN
ejpam-6545	273	7	.	.	PUNCT
ejpam-6545	274	1	an	an	DET
ejpam-6545	274	2	oscillation	oscillation	NOUN
ejpam-6545	274	3	criterion	criterion	NOUN
ejpam-6545	274	4	for	for	ADP
ejpam-6545	274	5	superlinear	superlinear	ADJ
ejpam-6545	274	6	differential	differential	ADJ
ejpam-6545	274	7	equations	equation	NOUN
ejpam-6545	274	8	of	of	ADP
ejpam-6545	274	9	second	second	ADJ
ejpam-6545	274	10	order	order	NOUN
ejpam-6545	274	11	.	.	PUNCT
ejpam-6545	275	1	journal	journal	NOUN
ejpam-6545	275	2	of	of	ADP
ejpam-6545	275	3	mathematical	mathematical	ADJ
ejpam-6545	275	4	analysis	analysis	NOUN
ejpam-6545	275	5	and	and	CCONJ
ejpam-6545	275	6	applications	application	NOUN
ejpam-6545	275	7	,	,	PUNCT
ejpam-6545	275	8	148(2):306–316	148(2):306–316	NUM
ejpam-6545	275	9	,	,	PUNCT
ejpam-6545	275	10	1990	1990	NUM
ejpam-6545	275	11	.	.	PUNCT
ejpam-6545	276	1	[	[	X
ejpam-6545	276	2	5	5	X
ejpam-6545	276	3	]	]	PUNCT
ejpam-6545	276	4	w.	w.	PROPN
ejpam-6545	276	5	m.	m.	PROPN
ejpam-6545	276	6	abd	abd	PROPN
ejpam-6545	276	7	-	-	PUNCT
ejpam-6545	276	8	elhameed	elhameed	PROPN
ejpam-6545	276	9	,	,	PUNCT
ejpam-6545	276	10	j.	j.	PROPN
ejpam-6545	276	11	a.	a.	PROPN
ejpam-6545	276	12	t.	t.	PROPN
ejpam-6545	276	13	machado	machado	PROPN
ejpam-6545	276	14	,	,	PUNCT
ejpam-6545	276	15	and	and	CCONJ
ejpam-6545	276	16	y.	y.	PROPN
ejpam-6545	276	17	h.	h.	PROPN
ejpam-6545	276	18	youssri	youssri	PROPN
ejpam-6545	276	19	.	.	PUNCT
ejpam-6545	277	1	hypergeometric	hypergeometric	ADJ
ejpam-6545	277	2	fractional	fractional	ADJ
ejpam-6545	277	3	derivatives	derivative	NOUN
ejpam-6545	277	4	formula	formula	NOUN
ejpam-6545	277	5	of	of	ADP
ejpam-6545	277	6	shifted	shift	VERB
ejpam-6545	277	7	chebyshev	chebyshev	NOUN
ejpam-6545	277	8	polynomials	polynomial	NOUN
ejpam-6545	277	9	:	:	PUNCT
ejpam-6545	277	10	tau	tau	PROPN
ejpam-6545	277	11	algorithm	algorithm	NOUN
ejpam-6545	277	12	for	for	ADP
ejpam-6545	277	13	a	a	DET
ejpam-6545	277	14	type	type	NOUN
ejpam-6545	277	15	of	of	ADP
ejpam-6545	277	16	fractional	fractional	ADJ
ejpam-6545	277	17	delay	delay	NOUN
ejpam-6545	277	18	differential	differential	ADJ
ejpam-6545	277	19	equations	equation	NOUN
ejpam-6545	277	20	.	.	PUNCT
ejpam-6545	278	1	international	international	ADJ
ejpam-6545	278	2	journal	journal	PROPN
ejpam-6545	278	3	of	of	ADP
ejpam-6545	278	4	nonlinear	nonlinear	PROPN
ejpam-6545	278	5	sciences	sciences	PROPN
ejpam-6545	278	6	and	and	CCONJ
ejpam-6545	278	7	numerical	numerical	PROPN
ejpam-6545	278	8	simulation	simulation	PROPN
ejpam-6545	278	9	,	,	PUNCT
ejpam-6545	278	10	23:1253–1268	23:1253–1268	NUM
ejpam-6545	278	11	,	,	PUNCT
ejpam-6545	278	12	2021	2021	NUM
ejpam-6545	278	13	.	.	PUNCT
ejpam-6545	279	1	[	[	X
ejpam-6545	279	2	6	6	NUM
ejpam-6545	279	3	]	]	PUNCT
ejpam-6545	279	4	w.	w.	PROPN
ejpam-6545	279	5	m.	m.	PROPN
ejpam-6545	279	6	abd	abd	PROPN
ejpam-6545	279	7	-	-	PUNCT
ejpam-6545	279	8	elhameed	elhameed	PROPN
ejpam-6545	279	9	,	,	PUNCT
ejpam-6545	279	10	y.	y.	PROPN
ejpam-6545	279	11	h.	h.	PROPN
ejpam-6545	279	12	youssri	youssri	PROPN
ejpam-6545	279	13	,	,	PUNCT
ejpam-6545	279	14	and	and	CCONJ
ejpam-6545	279	15	a.	a.	NOUN
ejpam-6545	279	16	g.	g.	PROPN
ejpam-6545	279	17	atta	atta	PROPN
ejpam-6545	279	18	.	.	PUNCT
ejpam-6545	280	1	tau	tau	PROPN
ejpam-6545	280	2	algorithm	algorithm	NOUN
ejpam-6545	280	3	for	for	ADP
ejpam-6545	280	4	fractional	fractional	ADJ
ejpam-6545	280	5	delay	delay	NOUN
ejpam-6545	280	6	differential	differential	ADJ
ejpam-6545	280	7	equations	equation	NOUN
ejpam-6545	280	8	utilizing	utilize	VERB
ejpam-6545	280	9	seventh	seventh	ADJ
ejpam-6545	280	10	-	-	PUNCT
ejpam-6545	280	11	kind	kind	NOUN
ejpam-6545	280	12	chebyshev	chebyshev	NOUN
ejpam-6545	280	13	polynomials	polynomial	NOUN
ejpam-6545	280	14	.	.	PUNCT
ejpam-6545	281	1	journal	journal	PROPN
ejpam-6545	281	2	of	of	ADP
ejpam-6545	281	3	mathematical	mathematical	ADJ
ejpam-6545	281	4	modeling	modeling	NOUN
ejpam-6545	281	5	,	,	PUNCT
ejpam-6545	281	6	12(2):277–299	12(2):277–299	NOUN
ejpam-6545	281	7	,	,	PUNCT
ejpam-6545	281	8	2024	2024	NUM
ejpam-6545	281	9	.	.	PUNCT
ejpam-6545	282	1	[	[	X
ejpam-6545	282	2	7	7	NUM
ejpam-6545	282	3	]	]	X
ejpam-6545	282	4	i.	i.	NOUN
ejpam-6545	282	5	t.	t.	PROPN
ejpam-6545	282	6	kiguradze	kiguradze	PROPN
ejpam-6545	282	7	and	and	CCONJ
ejpam-6545	282	8	t.	t.	PROPN
ejpam-6545	282	9	a.	a.	NOUN
ejpam-6545	282	10	chanturia	chanturia	PROPN
ejpam-6545	282	11	.	.	PUNCT
ejpam-6545	283	1	asymptotic	asymptotic	ADJ
ejpam-6545	283	2	properties	property	NOUN
ejpam-6545	283	3	of	of	ADP
ejpam-6545	283	4	solutions	solution	NOUN
ejpam-6545	283	5	of	of	ADP
ejpam-6545	283	6	nonautonomous	nonautonomous	ADJ
ejpam-6545	283	7	ordinary	ordinary	ADJ
ejpam-6545	283	8	differential	differential	ADJ
ejpam-6545	283	9	equations	equation	NOUN
ejpam-6545	283	10	.	.	PUNCT
ejpam-6545	284	1	kluwer	kluwer	NOUN
ejpam-6545	284	2	academic	academic	ADJ
ejpam-6545	284	3	publishers	publisher	NOUN
ejpam-6545	284	4	,	,	PUNCT
ejpam-6545	284	5	dordrecht	dordrecht	PROPN
ejpam-6545	284	6	,	,	PUNCT
ejpam-6545	284	7	1993	1993	NUM
ejpam-6545	284	8	.	.	PUNCT
ejpam-6545	285	1	[	[	X
ejpam-6545	285	2	8	8	NUM
ejpam-6545	285	3	]	]	X
ejpam-6545	285	4	w.	w.	PROPN
ejpam-6545	285	5	t.	t.	PROPN
ejpam-6545	285	6	reid	reid	PROPN
ejpam-6545	285	7	.	.	PUNCT
ejpam-6545	286	1	ordinary	ordinary	ADJ
ejpam-6545	286	2	differential	differential	ADJ
ejpam-6545	286	3	equations	equation	NOUN
ejpam-6545	286	4	.	.	PUNCT
ejpam-6545	287	1	john	john	PROPN
ejpam-6545	287	2	wiley	wiley	PROPN
ejpam-6545	287	3	&	&	CCONJ
ejpam-6545	287	4	sons	son	NOUN
ejpam-6545	287	5	,	,	PUNCT
ejpam-6545	287	6	new	new	PROPN
ejpam-6545	287	7	york	york	PROPN
ejpam-6545	287	8	,	,	PUNCT
ejpam-6545	287	9	1971	1971	NUM
ejpam-6545	287	10	.	.	PUNCT
ejpam-6545	288	1	[	[	X
ejpam-6545	288	2	9	9	NUM
ejpam-6545	288	3	]	]	X
ejpam-6545	288	4	g.	g.	PROPN
ejpam-6545	288	5	ballinger	ballinger	PROPN
ejpam-6545	288	6	and	and	CCONJ
ejpam-6545	288	7	x.	x.	PROPN
ejpam-6545	288	8	liu	liu	PROPN
ejpam-6545	288	9	.	.	PROPN
ejpam-6545	289	1	permanence	permanence	NOUN
ejpam-6545	289	2	of	of	ADP
ejpam-6545	289	3	population	population	NOUN
ejpam-6545	289	4	growth	growth	NOUN
ejpam-6545	289	5	models	model	NOUN
ejpam-6545	289	6	with	with	ADP
ejpam-6545	289	7	impulsive	impulsive	ADJ
ejpam-6545	289	8	effects	effect	NOUN
ejpam-6545	289	9	.	.	PUNCT
ejpam-6545	290	1	mathematical	mathematical	ADJ
ejpam-6545	290	2	and	and	CCONJ
ejpam-6545	290	3	computer	computer	NOUN
ejpam-6545	290	4	modelling	modelling	NOUN
ejpam-6545	290	5	,	,	PUNCT
ejpam-6545	290	6	26(12):59–72	26(12):59–72	NUM
ejpam-6545	290	7	,	,	PUNCT
ejpam-6545	290	8	1997	1997	NUM
ejpam-6545	290	9	.	.	PUNCT
ejpam-6545	291	1	[	[	X
ejpam-6545	291	2	10	10	NUM
ejpam-6545	291	3	]	]	X
ejpam-6545	291	4	s.	s.	PROPN
ejpam-6545	291	5	tang	tang	PROPN
ejpam-6545	291	6	and	and	CCONJ
ejpam-6545	291	7	l.	l.	PROPN
ejpam-6545	291	8	chen	chen	PROPN
ejpam-6545	291	9	.	.	PUNCT
ejpam-6545	292	1	global	global	ADJ
ejpam-6545	292	2	attractivity	attractivity	PROPN
ejpam-6545	292	3	in	in	ADP
ejpam-6545	292	4	a	a	DET
ejpam-6545	292	5	”	"	PUNCT
ejpam-6545	292	6	food	food	NOUN
ejpam-6545	292	7	-	-	PUNCT
ejpam-6545	292	8	limited	limit	VERB
ejpam-6545	292	9	”	"	PUNCT
ejpam-6545	292	10	population	population	NOUN
ejpam-6545	292	11	model	model	NOUN
ejpam-6545	292	12	with	with	ADP
ejpam-6545	292	13	impulsive	impulsive	ADJ
ejpam-6545	292	14	effects	effect	NOUN
ejpam-6545	292	15	.	.	PUNCT
ejpam-6545	293	1	journal	journal	NOUN
ejpam-6545	293	2	of	of	ADP
ejpam-6545	293	3	mathematical	mathematical	ADJ
ejpam-6545	293	4	analysis	analysis	NOUN
ejpam-6545	293	5	and	and	CCONJ
ejpam-6545	293	6	applications	application	NOUN
ejpam-6545	293	7	,	,	PUNCT
ejpam-6545	293	8	292(1):211–221	292(1):211–221	NUM
ejpam-6545	293	9	,	,	PUNCT
ejpam-6545	293	10	2004	2004	NUM
ejpam-6545	293	11	.	.	PUNCT
ejpam-6545	294	1	[	[	X
ejpam-6545	294	2	11	11	NUM
ejpam-6545	294	3	]	]	X
ejpam-6545	294	4	n.	n.	PROPN
ejpam-6545	294	5	macdonald	macdonald	PROPN
ejpam-6545	294	6	.	.	PUNCT
ejpam-6545	294	7	biological	biological	ADJ
ejpam-6545	294	8	delay	delay	NOUN
ejpam-6545	294	9	systems	system	NOUN
ejpam-6545	294	10	:	:	PUNCT
ejpam-6545	294	11	linear	linear	ADJ
ejpam-6545	294	12	stability	stability	NOUN
ejpam-6545	294	13	theory	theory	NOUN
ejpam-6545	294	14	.	.	PUNCT
ejpam-6545	295	1	cambridge	cambridge	PROPN
ejpam-6545	295	2	university	university	PROPN
ejpam-6545	295	3	press	press	PROPN
ejpam-6545	295	4	,	,	PUNCT
ejpam-6545	295	5	cambridge	cambridge	PROPN
ejpam-6545	295	6	,	,	PUNCT
ejpam-6545	295	7	1989	1989	NUM
ejpam-6545	295	8	.	.	PUNCT
ejpam-6545	296	1	[	[	X
ejpam-6545	296	2	12	12	NUM
ejpam-6545	296	3	]	]	PUNCT
ejpam-6545	296	4	j.	j.	PROPN
ejpam-6545	296	5	k.	k.	PROPN
ejpam-6545	296	6	hale	hale	PROPN
ejpam-6545	296	7	.	.	PUNCT
ejpam-6545	297	1	partial	partial	ADJ
ejpam-6545	297	2	neutral	neutral	ADJ
ejpam-6545	297	3	functional	functional	ADJ
ejpam-6545	297	4	differential	differential	NOUN
ejpam-6545	297	5	equations	equation	NOUN
ejpam-6545	297	6	.	.	PUNCT
ejpam-6545	298	1	revue	revue	PROPN
ejpam-6545	298	2	roumaine	roumaine	NOUN
ejpam-6545	298	3	de	de	X
ejpam-6545	298	4	mathématiques	mathématique	NOUN
ejpam-6545	298	5	pures	pure	NOUN
ejpam-6545	298	6	et	et	PROPN
ejpam-6545	298	7	appliquées	appliquées	PROPN
ejpam-6545	298	8	,	,	PUNCT
ejpam-6545	298	9	39(4):339–344	39(4):339–344	NUM
ejpam-6545	298	10	,	,	PUNCT
ejpam-6545	298	11	1994	1994	NUM
ejpam-6545	298	12	.	.	PUNCT
ejpam-6545	299	1	[	[	X
ejpam-6545	299	2	13	13	NUM
ejpam-6545	299	3	]	]	X
ejpam-6545	299	4	y.	y.	PROPN
ejpam-6545	299	5	kuang	kuang	PROPN
ejpam-6545	299	6	,	,	PUNCT
ejpam-6545	299	7	editor	editor	NOUN
ejpam-6545	299	8	.	.	PUNCT
ejpam-6545	300	1	delay	delay	VERB
ejpam-6545	300	2	differential	differential	ADJ
ejpam-6545	300	3	equations	equation	NOUN
ejpam-6545	300	4	.	.	PUNCT
ejpam-6545	301	1	academic	academic	ADJ
ejpam-6545	301	2	press	press	NOUN
ejpam-6545	301	3	,	,	PUNCT
ejpam-6545	301	4	new	new	PROPN
ejpam-6545	301	5	york	york	PROPN
ejpam-6545	301	6	,	,	PUNCT
ejpam-6545	301	7	1993	1993	NUM
ejpam-6545	301	8	.	.	PUNCT
ejpam-6545	302	1	[	[	X
ejpam-6545	302	2	14	14	NUM
ejpam-6545	302	3	]	]	PUNCT
ejpam-6545	302	4	v.	v.	CCONJ
ejpam-6545	302	5	kolmanovskii	kolmanovskii	PROPN
ejpam-6545	302	6	and	and	CCONJ
ejpam-6545	302	7	a.	a.	NOUN
ejpam-6545	302	8	myshkis	myshki	NOUN
ejpam-6545	302	9	.	.	PUNCT
ejpam-6545	303	1	applied	apply	VERB
ejpam-6545	303	2	theory	theory	NOUN
ejpam-6545	303	3	of	of	ADP
ejpam-6545	303	4	functional	functional	ADJ
ejpam-6545	303	5	differential	differential	ADJ
ejpam-6545	303	6	equations	equation	NOUN
ejpam-6545	303	7	,	,	PUNCT
ejpam-6545	303	8	volume	volume	NOUN
ejpam-6545	303	9	85	85	NUM
ejpam-6545	303	10	.	.	PUNCT
ejpam-6545	304	1	springer	springer	NOUN
ejpam-6545	304	2	science	science	PROPN
ejpam-6545	304	3	&	&	CCONJ
ejpam-6545	304	4	business	business	NOUN
ejpam-6545	304	5	media	medium	NOUN
ejpam-6545	304	6	,	,	PUNCT
ejpam-6545	304	7	2012	2012	NUM
ejpam-6545	304	8	.	.	PUNCT
ejpam-6545	305	1	[	[	X
ejpam-6545	305	2	15	15	NUM
ejpam-6545	305	3	]	]	X
ejpam-6545	305	4	n.	n.	PROPN
ejpam-6545	305	5	macdonald	macdonald	PROPN
ejpam-6545	305	6	and	and	CCONJ
ejpam-6545	305	7	n.	n.	PROPN
ejpam-6545	305	8	macdonald	macdonald	PROPN
ejpam-6545	305	9	.	.	PUNCT
ejpam-6545	306	1	biological	biological	ADJ
ejpam-6545	306	2	delay	delay	NOUN
ejpam-6545	306	3	systems	system	NOUN
ejpam-6545	306	4	:	:	PUNCT
ejpam-6545	306	5	linear	linear	ADJ
ejpam-6545	306	6	stability	stability	NOUN
ejpam-6545	306	7	theory	theory	NOUN
ejpam-6545	306	8	.	.	PUNCT
ejpam-6545	307	1	cambridge	cambridge	PROPN
ejpam-6545	307	2	university	university	PROPN
ejpam-6545	307	3	press	press	NOUN
ejpam-6545	307	4	,	,	PUNCT
ejpam-6545	307	5	2008	2008	NUM
ejpam-6545	307	6	.	.	PUNCT
ejpam-6545	308	1	[	[	X
ejpam-6545	308	2	16	16	NUM
ejpam-6545	308	3	]	]	PUNCT
ejpam-6545	308	4	k.	k.	PROPN
ejpam-6545	308	5	gopalsamy	gopalsamy	PROPN
ejpam-6545	308	6	and	and	CCONJ
ejpam-6545	308	7	b.	b.	PROPN
ejpam-6545	308	8	g.	g.	PROPN
ejpam-6545	308	9	zhang	zhang	PROPN
ejpam-6545	308	10	.	.	PUNCT
ejpam-6545	309	1	oscillation	oscillation	NOUN
ejpam-6545	309	2	and	and	CCONJ
ejpam-6545	309	3	nonoscillation	nonoscillation	NOUN
ejpam-6545	309	4	in	in	ADP
ejpam-6545	309	5	first	first	ADJ
ejpam-6545	309	6	order	order	NOUN
ejpam-6545	309	7	neutral	neutral	ADJ
ejpam-6545	309	8	differential	differential	NOUN
ejpam-6545	309	9	equations	equation	NOUN
ejpam-6545	309	10	.	.	PUNCT
ejpam-6545	310	1	journal	journal	PROPN
ejpam-6545	310	2	of	of	ADP
ejpam-6545	310	3	mathematical	mathematical	ADJ
ejpam-6545	310	4	analysis	analysis	NOUN
ejpam-6545	310	5	and	and	CCONJ
ejpam-6545	310	6	applications	application	NOUN
ejpam-6545	310	7	,	,	PUNCT
ejpam-6545	310	8	151(1):42	151(1):42	NUM
ejpam-6545	310	9	–	–	PUNCT
ejpam-6545	310	10	57	57	NUM
ejpam-6545	310	11	,	,	PUNCT
ejpam-6545	310	12	1990	1990	NUM
ejpam-6545	310	13	.	.	PUNCT
ejpam-6545	311	1	[	[	X
ejpam-6545	311	2	17	17	NUM
ejpam-6545	311	3	]	]	X
ejpam-6545	311	4	s.	s.	PROPN
ejpam-6545	311	5	pinelas	pinelas	PROPN
ejpam-6545	311	6	and	and	CCONJ
ejpam-6545	311	7	s.	s.	PROPN
ejpam-6545	311	8	s.	s.	PROPN
ejpam-6545	311	9	santra	santra	PROPN
ejpam-6545	311	10	.	.	PROPN
ejpam-6545	311	11	necessary	necessary	ADJ
ejpam-6545	311	12	and	and	CCONJ
ejpam-6545	311	13	sufficient	sufficient	ADJ
ejpam-6545	311	14	condition	condition	NOUN
ejpam-6545	311	15	for	for	ADP
ejpam-6545	311	16	oscillation	oscillation	NOUN
ejpam-6545	311	17	of	of	ADP
ejpam-6545	311	18	nonlinear	nonlinear	ADJ
ejpam-6545	311	19	neutral	neutral	ADJ
ejpam-6545	311	20	first	first	ADJ
ejpam-6545	311	21	-	-	PUNCT
ejpam-6545	311	22	order	order	NOUN
ejpam-6545	311	23	differential	differential	ADJ
ejpam-6545	311	24	equations	equation	NOUN
ejpam-6545	311	25	with	with	ADP
ejpam-6545	311	26	several	several	ADJ
ejpam-6545	311	27	delays	delay	NOUN
ejpam-6545	311	28	.	.	PUNCT
ejpam-6545	312	1	journal	journal	NOUN
ejpam-6545	312	2	of	of	ADP
ejpam-6545	312	3	fixed	fix	VERB
ejpam-6545	312	4	point	point	NOUN
ejpam-6545	312	5	theory	theory	NOUN
ejpam-6545	312	6	and	and	CCONJ
ejpam-6545	312	7	applications	application	NOUN
ejpam-6545	312	8	,	,	PUNCT
ejpam-6545	312	9	20:1–13	20:1–13	NUM
ejpam-6545	312	10	,	,	PUNCT
ejpam-6545	312	11	2018	2018	NUM
ejpam-6545	312	12	.	.	PUNCT
ejpam-6545	313	1	[	[	X
ejpam-6545	313	2	18	18	NUM
ejpam-6545	313	3	]	]	PUNCT
ejpam-6545	313	4	s.-y	s.-y	NOUN
ejpam-6545	313	5	.	.	PUNCT
ejpam-6545	314	1	zhang	zhang	PROPN
ejpam-6545	314	2	and	and	CCONJ
ejpam-6545	314	3	q.-r	q.-r	PROPN
ejpam-6545	314	4	.	.	PUNCT
ejpam-6545	315	1	wang	wang	PROPN
ejpam-6545	315	2	.	.	PUNCT
ejpam-6545	316	1	oscillation	oscillation	NOUN
ejpam-6545	316	2	of	of	ADP
ejpam-6545	316	3	second	second	ADJ
ejpam-6545	316	4	-	-	PUNCT
ejpam-6545	316	5	order	order	NOUN
ejpam-6545	316	6	nonlinear	nonlinear	ADJ
ejpam-6545	316	7	neutral	neutral	ADJ
ejpam-6545	316	8	dynamic	dynamic	ADJ
ejpam-6545	316	9	equations	equation	NOUN
ejpam-6545	316	10	on	on	ADP
ejpam-6545	316	11	time	time	NOUN
ejpam-6545	316	12	scales	scale	NOUN
ejpam-6545	316	13	.	.	PUNCT
ejpam-6545	317	1	applied	apply	VERB
ejpam-6545	317	2	mathematics	mathematic	NOUN
ejpam-6545	317	3	and	and	CCONJ
ejpam-6545	317	4	computation	computation	NOUN
ejpam-6545	317	5	,	,	PUNCT
ejpam-6545	317	6	216(10):2837–2848	216(10):2837–2848	NUM
ejpam-6545	317	7	,	,	PUNCT
ejpam-6545	317	8	2010	2010	NUM
ejpam-6545	317	9	.	.	PUNCT
ejpam-6545	318	1	[	[	X
ejpam-6545	318	2	19	19	NUM
ejpam-6545	318	3	]	]	X
ejpam-6545	318	4	m.	m.	NOUN
ejpam-6545	318	5	bohner	bohner	NOUN
ejpam-6545	318	6	,	,	PUNCT
ejpam-6545	318	7	s.	s.	PROPN
ejpam-6545	318	8	grace	grace	PROPN
ejpam-6545	318	9	,	,	PUNCT
ejpam-6545	318	10	and	and	CCONJ
ejpam-6545	318	11	i.	i.	PROPN
ejpam-6545	318	12	jadlovska	jadlovska	PROPN
ejpam-6545	318	13	.	.	PUNCT
ejpam-6545	319	1	sharp	sharp	ADJ
ejpam-6545	319	2	results	result	NOUN
ejpam-6545	319	3	for	for	ADP
ejpam-6545	319	4	oscillation	oscillation	NOUN
ejpam-6545	319	5	of	of	ADP
ejpam-6545	319	6	second	second	ADJ
ejpam-6545	319	7	-	-	PUNCT
ejpam-6545	319	8	order	order	NOUN
ejpam-6545	319	9	s.	s.	PROPN
ejpam-6545	319	10	aloraini	aloraini	PROPN
ejpam-6545	319	11	,	,	PUNCT
ejpam-6545	319	12	a.	a.	PROPN
ejpam-6545	319	13	s.	s.	PROPN
ejpam-6545	319	14	almohaimeed	almohaimee	VERB
ejpam-6545	319	15	,	,	PUNCT
ejpam-6545	319	16	o.	o.	PROPN
ejpam-6545	319	17	moaaz	moaaz	PROPN
ejpam-6545	319	18	/	/	SYM
ejpam-6545	319	19	eur	eur	PROPN
ejpam-6545	319	20	.	.	PUNCT
ejpam-6545	320	1	j.	j.	PROPN
ejpam-6545	320	2	pure	pure	PROPN
ejpam-6545	320	3	appl	appl	PROPN
ejpam-6545	320	4	.	.	PROPN
ejpam-6545	320	5	math	math	PROPN
ejpam-6545	320	6	,	,	PUNCT
ejpam-6545	320	7	18	18	NUM
ejpam-6545	320	8	(	(	PUNCT
ejpam-6545	320	9	4	4	NUM
ejpam-6545	320	10	)	)	PUNCT
ejpam-6545	320	11	(	(	PUNCT
ejpam-6545	320	12	2025	2025	NUM
ejpam-6545	320	13	)	)	PUNCT
ejpam-6545	320	14	,	,	PUNCT
ejpam-6545	320	15	6545	6545	NUM
ejpam-6545	320	16	14	14	NUM
ejpam-6545	320	17	of	of	ADP
ejpam-6545	320	18	15	15	NUM
ejpam-6545	320	19	neutral	neutral	ADJ
ejpam-6545	320	20	delay	delay	NOUN
ejpam-6545	320	21	differential	differential	NOUN
ejpam-6545	320	22	equations	equation	NOUN
ejpam-6545	320	23	.	.	PUNCT
ejpam-6545	321	1	electronic	electronic	ADJ
ejpam-6545	321	2	journal	journal	NOUN
ejpam-6545	321	3	of	of	ADP
ejpam-6545	321	4	qualitative	qualitative	ADJ
ejpam-6545	321	5	theory	theory	NOUN
ejpam-6545	321	6	of	of	ADP
ejpam-6545	321	7	differential	differential	ADJ
ejpam-6545	321	8	equations	equation	NOUN
ejpam-6545	321	9	,	,	PUNCT
ejpam-6545	321	10	(	(	PUNCT
ejpam-6545	321	11	4):1–23	4):1–23	NOUN
ejpam-6545	321	12	,	,	PUNCT
ejpam-6545	321	13	2023	2023	NUM
ejpam-6545	321	14	.	.	PUNCT
ejpam-6545	322	1	[	[	X
ejpam-6545	322	2	20	20	NUM
ejpam-6545	322	3	]	]	PUNCT
ejpam-6545	322	4	b.	b.	PROPN
ejpam-6545	322	5	almarri	almarri	PROPN
ejpam-6545	322	6	,	,	PUNCT
ejpam-6545	322	7	o.	o.	PROPN
ejpam-6545	322	8	moaaz	moaaz	PROPN
ejpam-6545	322	9	,	,	PUNCT
ejpam-6545	322	10	a.	a.	PROPN
ejpam-6545	322	11	e.	e.	PROPN
ejpam-6545	322	12	abouelregal	abouelregal	PROPN
ejpam-6545	322	13	,	,	PUNCT
ejpam-6545	322	14	and	and	CCONJ
ejpam-6545	322	15	a.	a.	NOUN
ejpam-6545	322	16	essam	essam	PROPN
ejpam-6545	322	17	.	.	PUNCT
ejpam-6545	323	1	new	new	ADJ
ejpam-6545	323	2	comparison	comparison	NOUN
ejpam-6545	323	3	theorems	theorem	VERB
ejpam-6545	323	4	to	to	PART
ejpam-6545	323	5	investigate	investigate	VERB
ejpam-6545	323	6	the	the	DET
ejpam-6545	323	7	asymptotic	asymptotic	ADJ
ejpam-6545	323	8	behavior	behavior	NOUN
ejpam-6545	323	9	of	of	ADP
ejpam-6545	323	10	even	even	ADJ
ejpam-6545	323	11	-	-	PUNCT
ejpam-6545	323	12	order	order	NOUN
ejpam-6545	323	13	neutral	neutral	ADJ
ejpam-6545	323	14	differential	differential	NOUN
ejpam-6545	323	15	equations	equation	NOUN
ejpam-6545	323	16	.	.	PUNCT
ejpam-6545	324	1	symmetry	symmetry	NOUN
ejpam-6545	324	2	,	,	PUNCT
ejpam-6545	324	3	15(5):1126	15(5):1126	NUM
ejpam-6545	324	4	,	,	PUNCT
ejpam-6545	324	5	2023	2023	NUM
ejpam-6545	324	6	.	.	PUNCT
ejpam-6545	325	1	[	[	X
ejpam-6545	325	2	21	21	NUM
ejpam-6545	325	3	]	]	X
ejpam-6545	325	4	o.	o.	PROPN
ejpam-6545	325	5	moaaz	moaaz	PROPN
ejpam-6545	325	6	,	,	PUNCT
ejpam-6545	325	7	h.	h.	PROPN
ejpam-6545	325	8	ramos	ramos	PROPN
ejpam-6545	325	9	,	,	PUNCT
ejpam-6545	325	10	and	and	CCONJ
ejpam-6545	325	11	j.	j.	PROPN
ejpam-6545	325	12	awrejcewicz	awrejcewicz	PROPN
ejpam-6545	325	13	.	.	PUNCT
ejpam-6545	326	1	second	second	ADJ
ejpam-6545	326	2	-	-	PUNCT
ejpam-6545	326	3	order	order	NOUN
ejpam-6545	326	4	emden	emden	NOUN
ejpam-6545	326	5	–	–	PUNCT
ejpam-6545	326	6	fowler	fowler	ADJ
ejpam-6545	326	7	neutral	neutral	ADJ
ejpam-6545	326	8	differential	differential	PROPN
ejpam-6545	326	9	equations	equation	NOUN
ejpam-6545	326	10	:	:	PUNCT
ejpam-6545	326	11	a	a	DET
ejpam-6545	326	12	new	new	ADJ
ejpam-6545	326	13	precise	precise	ADJ
ejpam-6545	326	14	criterion	criterion	NOUN
ejpam-6545	326	15	for	for	ADP
ejpam-6545	326	16	oscillation	oscillation	NOUN
ejpam-6545	326	17	.	.	PUNCT
ejpam-6545	327	1	applied	apply	VERB
ejpam-6545	327	2	mathematics	mathematics	NOUN
ejpam-6545	327	3	letters	letter	NOUN
ejpam-6545	327	4	,	,	PUNCT
ejpam-6545	327	5	118:107172	118:107172	NUM
ejpam-6545	327	6	,	,	PUNCT
ejpam-6545	327	7	2021	2021	NUM
ejpam-6545	327	8	.	.	PUNCT
ejpam-6545	328	1	[	[	X
ejpam-6545	328	2	22	22	NUM
ejpam-6545	328	3	]	]	PUNCT
ejpam-6545	328	4	r.	r.	PROPN
ejpam-6545	328	5	p.	p.	PROPN
ejpam-6545	328	6	agarwal	agarwal	PROPN
ejpam-6545	328	7	,	,	PUNCT
ejpam-6545	328	8	m.	m.	NOUN
ejpam-6545	328	9	bohner	bohner	NOUN
ejpam-6545	328	10	,	,	PUNCT
ejpam-6545	328	11	t.	t.	PROPN
ejpam-6545	328	12	li	li	PROPN
ejpam-6545	328	13	,	,	PUNCT
ejpam-6545	328	14	and	and	CCONJ
ejpam-6545	328	15	c.	c.	PROPN
ejpam-6545	328	16	zhang	zhang	PROPN
ejpam-6545	328	17	.	.	PUNCT
ejpam-6545	329	1	a	a	DET
ejpam-6545	329	2	new	new	ADJ
ejpam-6545	329	3	approach	approach	NOUN
ejpam-6545	329	4	in	in	ADP
ejpam-6545	329	5	the	the	DET
ejpam-6545	329	6	study	study	NOUN
ejpam-6545	329	7	of	of	ADP
ejpam-6545	329	8	oscillatory	oscillatory	ADJ
ejpam-6545	329	9	behavior	behavior	NOUN
ejpam-6545	329	10	of	of	ADP
ejpam-6545	329	11	even	even	ADJ
ejpam-6545	329	12	-	-	PUNCT
ejpam-6545	329	13	order	order	NOUN
ejpam-6545	329	14	neutral	neutral	ADJ
ejpam-6545	329	15	delay	delay	NOUN
ejpam-6545	329	16	differential	differential	ADJ
ejpam-6545	329	17	equations	equation	NOUN
ejpam-6545	329	18	.	.	PUNCT
ejpam-6545	330	1	applied	apply	VERB
ejpam-6545	330	2	mathematics	mathematic	NOUN
ejpam-6545	330	3	and	and	CCONJ
ejpam-6545	330	4	computation	computation	NOUN
ejpam-6545	330	5	,	,	PUNCT
ejpam-6545	330	6	225:787–794	225:787–794	NUM
ejpam-6545	330	7	,	,	PUNCT
ejpam-6545	330	8	2013	2013	NUM
ejpam-6545	330	9	.	.	PUNCT
ejpam-6545	331	1	[	[	X
ejpam-6545	331	2	23	23	NUM
ejpam-6545	331	3	]	]	X
ejpam-6545	331	4	o.	o.	PROPN
ejpam-6545	331	5	bazighifan	bazighifan	PROPN
ejpam-6545	331	6	,	,	PUNCT
ejpam-6545	331	7	o.	o.	PROPN
ejpam-6545	331	8	moaaz	moaaz	PROPN
ejpam-6545	331	9	,	,	PUNCT
ejpam-6545	331	10	r.	r.	PROPN
ejpam-6545	331	11	a.	a.	PROPN
ejpam-6545	331	12	el	el	PROPN
ejpam-6545	331	13	-	-	PUNCT
ejpam-6545	331	14	nabulsi	nabulsi	PROPN
ejpam-6545	331	15	,	,	PUNCT
ejpam-6545	331	16	and	and	CCONJ
ejpam-6545	331	17	a.	a.	NOUN
ejpam-6545	331	18	muhib	muhib	NOUN
ejpam-6545	331	19	.	.	PUNCT
ejpam-6545	332	1	some	some	DET
ejpam-6545	332	2	new	new	ADJ
ejpam-6545	332	3	oscillation	oscillation	NOUN
ejpam-6545	332	4	results	result	NOUN
ejpam-6545	332	5	for	for	ADP
ejpam-6545	332	6	fourth	fourth	ADJ
ejpam-6545	332	7	-	-	PUNCT
ejpam-6545	332	8	order	order	NOUN
ejpam-6545	332	9	neutral	neutral	ADJ
ejpam-6545	332	10	differential	differential	NOUN
ejpam-6545	332	11	equations	equation	NOUN
ejpam-6545	332	12	with	with	ADP
ejpam-6545	332	13	delay	delay	NOUN
ejpam-6545	332	14	argument	argument	NOUN
ejpam-6545	332	15	.	.	PUNCT
ejpam-6545	333	1	symmetry	symmetry	NOUN
ejpam-6545	333	2	,	,	PUNCT
ejpam-6545	333	3	12(8):1248	12(8):1248	NUM
ejpam-6545	333	4	,	,	PUNCT
ejpam-6545	333	5	2020	2020	NUM
ejpam-6545	333	6	.	.	PUNCT
ejpam-6545	334	1	[	[	X
ejpam-6545	334	2	24	24	NUM
ejpam-6545	334	3	]	]	X
ejpam-6545	334	4	o.	o.	PROPN
ejpam-6545	334	5	moaaz	moaaz	PROPN
ejpam-6545	334	6	,	,	PUNCT
ejpam-6545	334	7	s.	s.	PROPN
ejpam-6545	334	8	furuichi	furuichi	PROPN
ejpam-6545	334	9	,	,	PUNCT
ejpam-6545	334	10	and	and	CCONJ
ejpam-6545	334	11	a.	a.	NOUN
ejpam-6545	334	12	muhib	muhib	NOUN
ejpam-6545	334	13	.	.	PUNCT
ejpam-6545	335	1	new	new	ADJ
ejpam-6545	335	2	comparison	comparison	NOUN
ejpam-6545	335	3	theorems	theorem	VERB
ejpam-6545	335	4	for	for	ADP
ejpam-6545	335	5	the	the	DET
ejpam-6545	335	6	nth	nth	NOUN
ejpam-6545	335	7	order	order	NOUN
ejpam-6545	335	8	neutral	neutral	ADJ
ejpam-6545	335	9	differential	differential	ADJ
ejpam-6545	335	10	equations	equation	NOUN
ejpam-6545	335	11	with	with	ADP
ejpam-6545	335	12	delay	delay	NOUN
ejpam-6545	335	13	inequalities	inequality	NOUN
ejpam-6545	335	14	.	.	PUNCT
ejpam-6545	336	1	mathematics	mathematic	NOUN
ejpam-6545	336	2	,	,	PUNCT
ejpam-6545	336	3	8(3):454	8(3):454	NUM
ejpam-6545	336	4	,	,	PUNCT
ejpam-6545	336	5	2020	2020	NUM
ejpam-6545	336	6	.	.	PUNCT
ejpam-6545	337	1	[	[	X
ejpam-6545	337	2	25	25	NUM
ejpam-6545	337	3	]	]	PUNCT
ejpam-6545	337	4	t.	t.	PROPN
ejpam-6545	337	5	x.	x.	PROPN
ejpam-6545	337	6	li	li	PROPN
ejpam-6545	337	7	,	,	PUNCT
ejpam-6545	337	8	z.	z.	PROPN
ejpam-6545	337	9	l.	l.	PROPN
ejpam-6545	337	10	han	han	PROPN
ejpam-6545	337	11	,	,	PUNCT
ejpam-6545	337	12	p.	p.	NOUN
ejpam-6545	337	13	zhao	zhao	PROPN
ejpam-6545	337	14	,	,	PUNCT
ejpam-6545	337	15	and	and	CCONJ
ejpam-6545	337	16	s.	s.	PROPN
ejpam-6545	337	17	r.	r.	PROPN
ejpam-6545	337	18	sun	sun	PROPN
ejpam-6545	337	19	.	.	PUNCT
ejpam-6545	338	1	oscillation	oscillation	NOUN
ejpam-6545	338	2	of	of	ADP
ejpam-6545	338	3	even	even	ADJ
ejpam-6545	338	4	-	-	PUNCT
ejpam-6545	338	5	order	order	NOUN
ejpam-6545	338	6	neutral	neutral	ADJ
ejpam-6545	338	7	delay	delay	NOUN
ejpam-6545	338	8	differential	differential	ADJ
ejpam-6545	338	9	equations	equation	NOUN
ejpam-6545	338	10	.	.	PUNCT
ejpam-6545	339	1	advances	advance	NOUN
ejpam-6545	339	2	in	in	ADP
ejpam-6545	339	3	difference	difference	NOUN
ejpam-6545	339	4	equations	equation	NOUN
ejpam-6545	339	5	,	,	PUNCT
ejpam-6545	339	6	pages	page	NOUN
ejpam-6545	339	7	1–9	1–9	NUM
ejpam-6545	339	8	,	,	PUNCT
ejpam-6545	339	9	2010	2010	NUM
ejpam-6545	339	10	.	.	PUNCT
ejpam-6545	340	1	[	[	X
ejpam-6545	340	2	26	26	NUM
ejpam-6545	340	3	]	]	PUNCT
ejpam-6545	340	4	j.	j.	PROPN
ejpam-6545	340	5	j.	j.	PROPN
ejpam-6545	340	6	a.	a.	PROPN
ejpam-6545	340	7	m.	m.	PROPN
ejpam-6545	340	8	brands	brands	PROPN
ejpam-6545	340	9	.	.	PUNCT
ejpam-6545	341	1	oscillation	oscillation	NOUN
ejpam-6545	341	2	theorems	theorem	NOUN
ejpam-6545	341	3	for	for	ADP
ejpam-6545	341	4	second	second	ADJ
ejpam-6545	341	5	-	-	PUNCT
ejpam-6545	341	6	order	order	NOUN
ejpam-6545	341	7	functional	functional	ADJ
ejpam-6545	341	8	differential	differential	ADJ
ejpam-6545	341	9	equations	equation	NOUN
ejpam-6545	341	10	.	.	PUNCT
ejpam-6545	342	1	journal	journal	PROPN
ejpam-6545	342	2	of	of	ADP
ejpam-6545	342	3	mathematical	mathematical	ADJ
ejpam-6545	342	4	analysis	analysis	NOUN
ejpam-6545	342	5	and	and	CCONJ
ejpam-6545	342	6	applications	application	NOUN
ejpam-6545	342	7	,	,	PUNCT
ejpam-6545	342	8	63:54–64	63:54–64	PROPN
ejpam-6545	342	9	,	,	PUNCT
ejpam-6545	342	10	1978	1978	NUM
ejpam-6545	342	11	.	.	PUNCT
ejpam-6545	343	1	[	[	X
ejpam-6545	343	2	27	27	NUM
ejpam-6545	343	3	]	]	X
ejpam-6545	343	4	g.	g.	PROPN
ejpam-6545	343	5	ladas	ladas	PROPN
ejpam-6545	343	6	,	,	PUNCT
ejpam-6545	343	7	v.	v.	ADP
ejpam-6545	343	8	lakshmikantham	lakshmikantham	NOUN
ejpam-6545	343	9	,	,	PUNCT
ejpam-6545	343	10	and	and	CCONJ
ejpam-6545	343	11	j.	j.	PROPN
ejpam-6545	343	12	s.	s.	PROPN
ejpam-6545	343	13	papadakis	papadakis	PROPN
ejpam-6545	343	14	.	.	PUNCT
ejpam-6545	344	1	oscillations	oscillation	NOUN
ejpam-6545	344	2	of	of	ADP
ejpam-6545	344	3	higher	high	ADJ
ejpam-6545	344	4	-	-	PUNCT
ejpam-6545	344	5	order	order	NOUN
ejpam-6545	344	6	retarded	retarded	ADJ
ejpam-6545	344	7	differential	differential	ADJ
ejpam-6545	344	8	equations	equation	NOUN
ejpam-6545	344	9	generated	generate	VERB
ejpam-6545	344	10	by	by	ADP
ejpam-6545	344	11	the	the	DET
ejpam-6545	344	12	retarded	retarded	ADJ
ejpam-6545	344	13	argument	argument	NOUN
ejpam-6545	344	14	.	.	PUNCT
ejpam-6545	345	1	in	in	ADP
ejpam-6545	345	2	delay	delay	NOUN
ejpam-6545	345	3	and	and	CCONJ
ejpam-6545	345	4	functional	functional	ADJ
ejpam-6545	345	5	differential	differential	ADJ
ejpam-6545	345	6	equations	equation	NOUN
ejpam-6545	345	7	and	and	CCONJ
ejpam-6545	345	8	their	their	PRON
ejpam-6545	345	9	applications	application	NOUN
ejpam-6545	345	10	,	,	PUNCT
ejpam-6545	345	11	pages	page	NOUN
ejpam-6545	345	12	219–231	219–231	NUM
ejpam-6545	345	13	.	.	PUNCT
ejpam-6545	346	1	academic	academic	ADJ
ejpam-6545	346	2	press	press	NOUN
ejpam-6545	346	3	,	,	PUNCT
ejpam-6545	346	4	1972	1972	NUM
ejpam-6545	346	5	.	.	PUNCT
ejpam-6545	347	1	[	[	X
ejpam-6545	347	2	28	28	NUM
ejpam-6545	347	3	]	]	X
ejpam-6545	347	4	j.	j.	PROPN
ejpam-6545	347	5	j.	j.	PROPN
ejpam-6545	347	6	wei	wei	PROPN
ejpam-6545	347	7	.	.	PUNCT
ejpam-6545	348	1	oscillation	oscillation	NOUN
ejpam-6545	348	2	of	of	ADP
ejpam-6545	348	3	second	second	ADJ
ejpam-6545	348	4	order	order	NOUN
ejpam-6545	348	5	delay	delay	NOUN
ejpam-6545	348	6	differential	differential	ADJ
ejpam-6545	348	7	equation	equation	NOUN
ejpam-6545	348	8	.	.	PUNCT
ejpam-6545	349	1	annals	annal	NOUN
ejpam-6545	349	2	of	of	ADP
ejpam-6545	349	3	differential	differential	ADJ
ejpam-6545	349	4	equations	equation	NOUN
ejpam-6545	349	5	,	,	PUNCT
ejpam-6545	349	6	4(4):473–478	4(4):473–478	NUM
ejpam-6545	349	7	,	,	PUNCT
ejpam-6545	349	8	1988	1988	NUM
ejpam-6545	349	9	.	.	PUNCT
ejpam-6545	350	1	[	[	X
ejpam-6545	350	2	29	29	NUM
ejpam-6545	350	3	]	]	X
ejpam-6545	350	4	r.	r.	PROPN
ejpam-6545	350	5	koplatadze	koplatadze	PROPN
ejpam-6545	350	6	,	,	PUNCT
ejpam-6545	350	7	g.	g.	PROPN
ejpam-6545	350	8	kvinikadze	kvinikadze	PROPN
ejpam-6545	350	9	,	,	PUNCT
ejpam-6545	350	10	and	and	CCONJ
ejpam-6545	350	11	i.	i.	PROPN
ejpam-6545	350	12	p.	p.	PROPN
ejpam-6545	350	13	stavroulakis	stavroulakis	PROPN
ejpam-6545	350	14	.	.	PUNCT
ejpam-6545	351	1	oscillation	oscillation	NOUN
ejpam-6545	351	2	of	of	ADP
ejpam-6545	351	3	second	second	ADJ
ejpam-6545	351	4	order	order	NOUN
ejpam-6545	351	5	linear	linear	ADJ
ejpam-6545	351	6	delay	delay	NOUN
ejpam-6545	351	7	differential	differential	ADJ
ejpam-6545	351	8	equations	equation	NOUN
ejpam-6545	351	9	.	.	PUNCT
ejpam-6545	352	1	functional	functional	ADJ
ejpam-6545	352	2	differential	differential	ADJ
ejpam-6545	352	3	equations	equation	NOUN
ejpam-6545	352	4	,	,	PUNCT
ejpam-6545	352	5	7(1	7(1	NUM
ejpam-6545	352	6	-	-	SYM
ejpam-6545	352	7	2):121–145	2):121–145	NUM
ejpam-6545	352	8	,	,	PUNCT
ejpam-6545	352	9	2000	2000	NUM
ejpam-6545	352	10	.	.	PUNCT
ejpam-6545	353	1	[	[	X
ejpam-6545	353	2	30	30	NUM
ejpam-6545	353	3	]	]	X
ejpam-6545	353	4	j.	j.	PROPN
ejpam-6545	353	5	džurina	džurina	PROPN
ejpam-6545	353	6	and	and	CCONJ
ejpam-6545	353	7	i.	i.	PROPN
ejpam-6545	353	8	p.	p.	PROPN
ejpam-6545	353	9	stavroulakis	stavroulakis	PROPN
ejpam-6545	353	10	.	.	PUNCT
ejpam-6545	354	1	oscillation	oscillation	NOUN
ejpam-6545	354	2	criteria	criterion	NOUN
ejpam-6545	354	3	for	for	ADP
ejpam-6545	354	4	second	second	ADJ
ejpam-6545	354	5	-	-	PUNCT
ejpam-6545	354	6	order	order	NOUN
ejpam-6545	354	7	delay	delay	NOUN
ejpam-6545	354	8	differential	differential	ADJ
ejpam-6545	354	9	equations	equation	NOUN
ejpam-6545	354	10	.	.	PUNCT
ejpam-6545	355	1	applied	apply	VERB
ejpam-6545	355	2	mathematics	mathematic	NOUN
ejpam-6545	355	3	and	and	CCONJ
ejpam-6545	355	4	computation	computation	NOUN
ejpam-6545	355	5	,	,	PUNCT
ejpam-6545	355	6	140(2	140(2	NUM
ejpam-6545	355	7	-	-	SYM
ejpam-6545	355	8	3):445–453	3):445–453	NUM
ejpam-6545	355	9	,	,	PUNCT
ejpam-6545	355	10	2003	2003	NUM
ejpam-6545	355	11	.	.	PUNCT
ejpam-6545	356	1	[	[	X
ejpam-6545	356	2	31	31	NUM
ejpam-6545	356	3	]	]	X
ejpam-6545	356	4	y.	y.	PROPN
ejpam-6545	356	5	g.	g.	PROPN
ejpam-6545	356	6	sun	sun	PROPN
ejpam-6545	356	7	and	and	CCONJ
ejpam-6545	356	8	f.	f.	PROPN
ejpam-6545	356	9	w.	w.	PROPN
ejpam-6545	356	10	meng	meng	PROPN
ejpam-6545	356	11	.	.	PUNCT
ejpam-6545	357	1	note	note	VERB
ejpam-6545	357	2	on	on	ADP
ejpam-6545	357	3	the	the	DET
ejpam-6545	357	4	paper	paper	NOUN
ejpam-6545	357	5	of	of	ADP
ejpam-6545	357	6	džurina	džurina	PROPN
ejpam-6545	357	7	and	and	CCONJ
ejpam-6545	357	8	stavroulakis	stavroulakis	PROPN
ejpam-6545	357	9	:	:	PUNCT
ejpam-6545	357	10	”	"	PUNCT
ejpam-6545	357	11	oscillation	oscillation	NOUN
ejpam-6545	357	12	criteria	criterion	NOUN
ejpam-6545	357	13	for	for	ADP
ejpam-6545	357	14	second	second	ADJ
ejpam-6545	357	15	-	-	PUNCT
ejpam-6545	357	16	order	order	NOUN
ejpam-6545	357	17	delay	delay	NOUN
ejpam-6545	357	18	differential	differential	ADJ
ejpam-6545	357	19	equations	equation	NOUN
ejpam-6545	357	20	”	"	PUNCT
ejpam-6545	357	21	.	.	PUNCT
ejpam-6545	358	1	applied	apply	VERB
ejpam-6545	358	2	mathematics	mathematic	NOUN
ejpam-6545	358	3	and	and	CCONJ
ejpam-6545	358	4	computation	computation	NOUN
ejpam-6545	358	5	,	,	PUNCT
ejpam-6545	358	6	174(2):1634–1641	174(2):1634–1641	NUM
ejpam-6545	358	7	,	,	PUNCT
ejpam-6545	358	8	2006	2006	NUM
ejpam-6545	358	9	.	.	PUNCT
ejpam-6545	359	1	[	[	X
ejpam-6545	359	2	32	32	NUM
ejpam-6545	359	3	]	]	PUNCT
ejpam-6545	359	4	g.	g.	PROPN
ejpam-6545	359	5	e.	e.	PROPN
ejpam-6545	359	6	chatzarakis	chatzarakis	PROPN
ejpam-6545	359	7	,	,	PUNCT
ejpam-6545	359	8	j.	j.	PROPN
ejpam-6545	359	9	džurina	džurina	PROPN
ejpam-6545	359	10	,	,	PUNCT
ejpam-6545	359	11	and	and	CCONJ
ejpam-6545	359	12	i.	i.	PROPN
ejpam-6545	359	13	jadlovská	jadlovská	PROPN
ejpam-6545	359	14	.	.	PUNCT
ejpam-6545	360	1	new	new	ADJ
ejpam-6545	360	2	oscillation	oscillation	NOUN
ejpam-6545	360	3	criteria	criterion	NOUN
ejpam-6545	360	4	for	for	ADP
ejpam-6545	360	5	secondorder	secondorder	ADJ
ejpam-6545	360	6	halflinear	halflinear	VERB
ejpam-6545	360	7	advanced	advanced	ADJ
ejpam-6545	360	8	differential	differential	ADJ
ejpam-6545	360	9	equations	equation	NOUN
ejpam-6545	360	10	.	.	PUNCT
ejpam-6545	361	1	applied	apply	VERB
ejpam-6545	361	2	mathematics	mathematic	NOUN
ejpam-6545	361	3	and	and	CCONJ
ejpam-6545	361	4	computation	computation	NOUN
ejpam-6545	361	5	,	,	PUNCT
ejpam-6545	361	6	347:404–416	347:404–416	NUM
ejpam-6545	361	7	,	,	PUNCT
ejpam-6545	361	8	2019	2019	NUM
ejpam-6545	361	9	.	.	PUNCT
ejpam-6545	362	1	[	[	X
ejpam-6545	362	2	33	33	NUM
ejpam-6545	362	3	]	]	PUNCT
ejpam-6545	362	4	g.	g.	PROPN
ejpam-6545	362	5	e.	e.	PROPN
ejpam-6545	362	6	chatzarakis	chatzarakis	PROPN
ejpam-6545	362	7	,	,	PUNCT
ejpam-6545	362	8	s.	s.	PROPN
ejpam-6545	362	9	r.	r.	PROPN
ejpam-6545	362	10	grace	grace	PROPN
ejpam-6545	362	11	,	,	PUNCT
ejpam-6545	362	12	i.	i.	PROPN
ejpam-6545	362	13	jadlovská	jadlovská	PROPN
ejpam-6545	362	14	,	,	PUNCT
ejpam-6545	362	15	t.	t.	PROPN
ejpam-6545	362	16	li	li	PROPN
ejpam-6545	362	17	,	,	PUNCT
ejpam-6545	362	18	and	and	CCONJ
ejpam-6545	362	19	e.	e.	PROPN
ejpam-6545	362	20	tunç	tunç	PROPN
ejpam-6545	362	21	.	.	PUNCT
ejpam-6545	363	1	oscillation	oscillation	NOUN
ejpam-6545	363	2	criteria	criterion	NOUN
ejpam-6545	363	3	for	for	ADP
ejpam-6545	363	4	third	third	ADJ
ejpam-6545	363	5	-	-	PUNCT
ejpam-6545	363	6	order	order	NOUN
ejpam-6545	363	7	emden	emden	ADJ
ejpam-6545	363	8	–	–	PUNCT
ejpam-6545	363	9	fowler	fowler	PROPN
ejpam-6545	363	10	differential	differential	ADJ
ejpam-6545	363	11	equations	equation	NOUN
ejpam-6545	363	12	with	with	ADP
ejpam-6545	363	13	unbounded	unbounded	ADJ
ejpam-6545	363	14	neutral	neutral	ADJ
ejpam-6545	363	15	coefficients	coefficient	NOUN
ejpam-6545	363	16	.	.	PUNCT
ejpam-6545	364	1	complexity	complexity	NOUN
ejpam-6545	364	2	,	,	PUNCT
ejpam-6545	364	3	2019(1):5691758	2019(1):5691758	NUM
ejpam-6545	364	4	,	,	PUNCT
ejpam-6545	364	5	2019	2019	NUM
ejpam-6545	364	6	.	.	PUNCT
ejpam-6545	365	1	[	[	X
ejpam-6545	365	2	34	34	NUM
ejpam-6545	365	3	]	]	X
ejpam-6545	365	4	j.	j.	PROPN
ejpam-6545	365	5	s.	s.	PROPN
ejpam-6545	365	6	w.	w.	PROPN
ejpam-6545	365	7	wong	wong	PROPN
ejpam-6545	365	8	.	.	PROPN
ejpam-6545	365	9	necessary	necessary	ADJ
ejpam-6545	365	10	and	and	CCONJ
ejpam-6545	365	11	sufficient	sufficient	ADJ
ejpam-6545	365	12	conditions	condition	NOUN
ejpam-6545	365	13	for	for	ADP
ejpam-6545	365	14	oscillation	oscillation	NOUN
ejpam-6545	365	15	of	of	ADP
ejpam-6545	365	16	second	second	ADJ
ejpam-6545	365	17	order	order	NOUN
ejpam-6545	365	18	neutral	neutral	ADJ
ejpam-6545	365	19	differential	differential	NOUN
ejpam-6545	365	20	equations	equation	NOUN
ejpam-6545	365	21	.	.	PUNCT
ejpam-6545	366	1	journal	journal	PROPN
ejpam-6545	366	2	of	of	ADP
ejpam-6545	366	3	mathematical	mathematical	ADJ
ejpam-6545	366	4	analysis	analysis	NOUN
ejpam-6545	366	5	and	and	CCONJ
ejpam-6545	366	6	applications	application	NOUN
ejpam-6545	366	7	,	,	PUNCT
ejpam-6545	366	8	252:342–352	252:342–352	NUM
ejpam-6545	366	9	,	,	PUNCT
ejpam-6545	366	10	2000	2000	NUM
ejpam-6545	366	11	.	.	PUNCT
ejpam-6545	367	1	s.	s.	PROPN
ejpam-6545	367	2	aloraini	aloraini	PROPN
ejpam-6545	367	3	,	,	PUNCT
ejpam-6545	367	4	a.	a.	PROPN
ejpam-6545	367	5	s.	s.	PROPN
ejpam-6545	367	6	almohaimeed	almohaimee	VERB
ejpam-6545	367	7	,	,	PUNCT
ejpam-6545	367	8	o.	o.	PROPN
ejpam-6545	367	9	moaaz	moaaz	PROPN
ejpam-6545	367	10	/	/	SYM
ejpam-6545	367	11	eur	eur	PROPN
ejpam-6545	367	12	.	.	PUNCT
ejpam-6545	368	1	j.	j.	PROPN
ejpam-6545	368	2	pure	pure	PROPN
ejpam-6545	368	3	appl	appl	PROPN
ejpam-6545	368	4	.	.	PROPN
ejpam-6545	368	5	math	math	PROPN
ejpam-6545	368	6	,	,	PUNCT
ejpam-6545	368	7	18	18	NUM
ejpam-6545	368	8	(	(	PUNCT
ejpam-6545	368	9	4	4	NUM
ejpam-6545	368	10	)	)	PUNCT
ejpam-6545	368	11	(	(	PUNCT
ejpam-6545	368	12	2025	2025	NUM
ejpam-6545	368	13	)	)	PUNCT
ejpam-6545	368	14	,	,	PUNCT
ejpam-6545	368	15	6545	6545	NUM
ejpam-6545	368	16	15	15	NUM
ejpam-6545	368	17	of	of	ADP
ejpam-6545	368	18	15	15	NUM
ejpam-6545	368	19	[	[	SYM
ejpam-6545	368	20	35	35	NUM
ejpam-6545	368	21	]	]	PUNCT
ejpam-6545	368	22	r.	r.	PROPN
ejpam-6545	368	23	xu	xu	PROPN
ejpam-6545	368	24	and	and	CCONJ
ejpam-6545	368	25	f.	f.	PROPN
ejpam-6545	368	26	meng	meng	PROPN
ejpam-6545	368	27	.	.	PUNCT
ejpam-6545	369	1	some	some	DET
ejpam-6545	369	2	new	new	ADJ
ejpam-6545	369	3	oscillation	oscillation	NOUN
ejpam-6545	369	4	criteria	criterion	NOUN
ejpam-6545	369	5	for	for	ADP
ejpam-6545	369	6	second	second	ADJ
ejpam-6545	369	7	order	order	NOUN
ejpam-6545	369	8	quasi	quasi	ADJ
ejpam-6545	369	9	-	-	ADJ
ejpam-6545	369	10	linear	linear	ADJ
ejpam-6545	369	11	neutral	neutral	ADJ
ejpam-6545	369	12	delay	delay	NOUN
ejpam-6545	369	13	differential	differential	NOUN
ejpam-6545	369	14	equations	equation	NOUN
ejpam-6545	369	15	.	.	PUNCT
ejpam-6545	370	1	applied	apply	VERB
ejpam-6545	370	2	mathematics	mathematic	NOUN
ejpam-6545	370	3	and	and	CCONJ
ejpam-6545	370	4	computation	computation	NOUN
ejpam-6545	370	5	,	,	PUNCT
ejpam-6545	370	6	182(1):797–803	182(1):797–803	NUM
ejpam-6545	370	7	,	,	PUNCT
ejpam-6545	370	8	2006	2006	NUM
ejpam-6545	370	9	.	.	PUNCT
ejpam-6545	371	1	[	[	X
ejpam-6545	371	2	36	36	NUM
ejpam-6545	371	3	]	]	X
ejpam-6545	371	4	s.	s.	PROPN
ejpam-6545	371	5	r.	r.	PROPN
ejpam-6545	371	6	grace	grace	PROPN
ejpam-6545	371	7	,	,	PUNCT
ejpam-6545	371	8	j.	j.	PROPN
ejpam-6545	371	9	džurina	džurina	PROPN
ejpam-6545	371	10	,	,	PUNCT
ejpam-6545	371	11	i.	i.	PROPN
ejpam-6545	371	12	jadlovska	jadlovska	PROPN
ejpam-6545	371	13	,	,	PUNCT
ejpam-6545	371	14	and	and	CCONJ
ejpam-6545	371	15	t.	t.	PROPN
ejpam-6545	371	16	li	li	PROPN
ejpam-6545	371	17	.	.	PUNCT
ejpam-6545	372	1	an	an	DET
ejpam-6545	372	2	improved	improved	ADJ
ejpam-6545	372	3	approach	approach	NOUN
ejpam-6545	372	4	for	for	ADP
ejpam-6545	372	5	studying	study	VERB
ejpam-6545	372	6	oscillation	oscillation	NOUN
ejpam-6545	372	7	of	of	ADP
ejpam-6545	372	8	second	second	ADJ
ejpam-6545	372	9	-	-	PUNCT
ejpam-6545	372	10	order	order	NOUN
ejpam-6545	372	11	neutral	neutral	ADJ
ejpam-6545	372	12	delay	delay	NOUN
ejpam-6545	372	13	differential	differential	ADJ
ejpam-6545	372	14	equations	equation	NOUN
ejpam-6545	372	15	.	.	PUNCT
ejpam-6545	373	1	journal	journal	PROPN
ejpam-6545	373	2	of	of	ADP
ejpam-6545	373	3	inequalities	inequality	NOUN
ejpam-6545	373	4	and	and	CCONJ
ejpam-6545	373	5	applications	application	NOUN
ejpam-6545	373	6	,	,	PUNCT
ejpam-6545	373	7	pages	page	NOUN
ejpam-6545	373	8	1–13	1–13	NOUN
ejpam-6545	373	9	,	,	PUNCT
ejpam-6545	373	10	2018	2018	NUM
ejpam-6545	373	11	.	.	PUNCT
ejpam-6545	374	1	[	[	X
ejpam-6545	374	2	37	37	NUM
ejpam-6545	374	3	]	]	X
ejpam-6545	374	4	b.	b.	PROPN
ejpam-6545	374	5	baculikova	baculikova	PROPN
ejpam-6545	374	6	and	and	CCONJ
ejpam-6545	374	7	j.	j.	PROPN
ejpam-6545	374	8	džurina	džurina	PROPN
ejpam-6545	374	9	.	.	PUNCT
ejpam-6545	375	1	oscillation	oscillation	NOUN
ejpam-6545	375	2	theorems	theorem	NOUN
ejpam-6545	375	3	for	for	ADP
ejpam-6545	375	4	second	second	ADJ
ejpam-6545	375	5	order	order	NOUN
ejpam-6545	375	6	neutral	neutral	ADJ
ejpam-6545	375	7	differential	differential	NOUN
ejpam-6545	375	8	equations	equation	NOUN
ejpam-6545	375	9	.	.	PUNCT
ejpam-6545	376	1	computers	computer	NOUN
ejpam-6545	376	2	&	&	CCONJ
ejpam-6545	376	3	mathematics	mathematics	PROPN
ejpam-6545	376	4	with	with	ADP
ejpam-6545	376	5	applications	application	NOUN
ejpam-6545	376	6	,	,	PUNCT
ejpam-6545	376	7	61:94–99	61:94–99	NUM
ejpam-6545	376	8	,	,	PUNCT
ejpam-6545	376	9	2011	2011	NUM
ejpam-6545	376	10	.	.	PUNCT
ejpam-6545	377	1	[	[	X
ejpam-6545	377	2	38	38	NUM
ejpam-6545	377	3	]	]	PUNCT
ejpam-6545	377	4	j.	j.	PROPN
ejpam-6545	377	5	džurina	džurina	PROPN
ejpam-6545	377	6	.	.	PUNCT
ejpam-6545	378	1	oscillation	oscillation	NOUN
ejpam-6545	378	2	theorems	theorem	NOUN
ejpam-6545	378	3	for	for	ADP
ejpam-6545	378	4	second	second	ADJ
ejpam-6545	378	5	order	order	NOUN
ejpam-6545	378	6	advanced	advanced	ADJ
ejpam-6545	378	7	neutral	neutral	ADJ
ejpam-6545	378	8	differential	differential	ADJ
ejpam-6545	378	9	equations	equation	NOUN
ejpam-6545	378	10	.	.	PUNCT
ejpam-6545	379	1	tatra	tatra	PROPN
ejpam-6545	379	2	mountains	mountains	PROPN
ejpam-6545	379	3	mathematical	mathematical	ADJ
ejpam-6545	379	4	publications	publication	NOUN
ejpam-6545	379	5	,	,	PUNCT
ejpam-6545	379	6	48:61–71	48:61–71	PROPN
ejpam-6545	379	7	,	,	PUNCT
ejpam-6545	379	8	2011	2011	NUM
ejpam-6545	379	9	.	.	PUNCT
ejpam-6545	380	1	[	[	X
ejpam-6545	380	2	39	39	NUM
ejpam-6545	380	3	]	]	PUNCT
ejpam-6545	380	4	m.	m.	NOUN
ejpam-6545	380	5	bohner	bohner	NOUN
ejpam-6545	380	6	,	,	PUNCT
ejpam-6545	380	7	s.	s.	PROPN
ejpam-6545	380	8	grace	grace	PROPN
ejpam-6545	380	9	,	,	PUNCT
ejpam-6545	380	10	and	and	CCONJ
ejpam-6545	380	11	i.	i.	PROPN
ejpam-6545	380	12	jadlovska	jadlovska	PROPN
ejpam-6545	380	13	.	.	PUNCT
ejpam-6545	381	1	oscillation	oscillation	NOUN
ejpam-6545	381	2	criteria	criterion	NOUN
ejpam-6545	381	3	for	for	ADP
ejpam-6545	381	4	second	second	ADJ
ejpam-6545	381	5	-	-	PUNCT
ejpam-6545	381	6	order	order	NOUN
ejpam-6545	381	7	neutral	neutral	ADJ
ejpam-6545	381	8	delay	delay	NOUN
ejpam-6545	381	9	differential	differential	ADJ
ejpam-6545	381	10	equations	equation	NOUN
ejpam-6545	381	11	.	.	PUNCT
ejpam-6545	382	1	electronic	electronic	ADJ
ejpam-6545	382	2	journal	journal	NOUN
ejpam-6545	382	3	of	of	ADP
ejpam-6545	382	4	qualitative	qualitative	ADJ
ejpam-6545	382	5	theory	theory	NOUN
ejpam-6545	382	6	of	of	ADP
ejpam-6545	382	7	differential	differential	ADJ
ejpam-6545	382	8	equations	equation	NOUN
ejpam-6545	382	9	,	,	PUNCT
ejpam-6545	382	10	(	(	PUNCT
ejpam-6545	382	11	60):1–12	60):1–12	NUM
ejpam-6545	382	12	,	,	PUNCT
ejpam-6545	382	13	2017	2017	NUM
ejpam-6545	382	14	.	.	PUNCT
ejpam-6545	383	1	[	[	X
ejpam-6545	383	2	40	40	NUM
ejpam-6545	383	3	]	]	PUNCT
ejpam-6545	383	4	b.	b.	PROPN
ejpam-6545	383	5	baculikova	baculikova	PROPN
ejpam-6545	383	6	and	and	CCONJ
ejpam-6545	383	7	j.	j.	PROPN
ejpam-6545	383	8	dzurina	dzurina	PROPN
ejpam-6545	383	9	.	.	PUNCT
ejpam-6545	384	1	oscillation	oscillation	NOUN
ejpam-6545	384	2	theorems	theorem	NOUN
ejpam-6545	384	3	for	for	ADP
ejpam-6545	384	4	second	second	ADJ
ejpam-6545	384	5	-	-	PUNCT
ejpam-6545	384	6	order	order	NOUN
ejpam-6545	384	7	nonlinear	nonlinear	ADJ
ejpam-6545	384	8	neutral	neutral	ADJ
ejpam-6545	384	9	differential	differential	NOUN
ejpam-6545	384	10	equations	equation	NOUN
ejpam-6545	384	11	.	.	PUNCT
ejpam-6545	385	1	computers	computer	NOUN
ejpam-6545	385	2	&	&	CCONJ
ejpam-6545	385	3	mathematics	mathematics	PROPN
ejpam-6545	385	4	with	with	ADP
ejpam-6545	385	5	applications	application	NOUN
ejpam-6545	385	6	,	,	PUNCT
ejpam-6545	385	7	62(12):4472	62(12):4472	NUM
ejpam-6545	385	8	–	–	PUNCT
ejpam-6545	385	9	4478	4478	NUM
ejpam-6545	385	10	,	,	PUNCT
ejpam-6545	385	11	2011	2011	NUM
ejpam-6545	385	12	.	.	PUNCT
ejpam-6545	386	1	[	[	X
ejpam-6545	386	2	41	41	NUM
ejpam-6545	386	3	]	]	X
ejpam-6545	386	4	h.	h.	PROPN
ejpam-6545	386	5	liu	liu	PROPN
ejpam-6545	386	6	,	,	PUNCT
ejpam-6545	386	7	f.	f.	PROPN
ejpam-6545	386	8	meng	meng	PROPN
ejpam-6545	386	9	,	,	PUNCT
ejpam-6545	386	10	and	and	CCONJ
ejpam-6545	386	11	p.	p.	PROPN
ejpam-6545	386	12	liu	liu	PROPN
ejpam-6545	386	13	.	.	PUNCT
ejpam-6545	387	1	oscillation	oscillation	NOUN
ejpam-6545	387	2	and	and	CCONJ
ejpam-6545	387	3	asymptotic	asymptotic	ADJ
ejpam-6545	387	4	analysis	analysis	NOUN
ejpam-6545	387	5	on	on	ADP
ejpam-6545	387	6	a	a	DET
ejpam-6545	387	7	new	new	ADJ
ejpam-6545	387	8	generalized	generalize	VERB
ejpam-6545	387	9	emden	emden	ADJ
ejpam-6545	387	10	–	–	PUNCT
ejpam-6545	387	11	fowler	fowler	PROPN
ejpam-6545	387	12	equation	equation	NOUN
ejpam-6545	387	13	.	.	PUNCT
ejpam-6545	388	1	applied	apply	VERB
ejpam-6545	388	2	mathematics	mathematic	NOUN
ejpam-6545	388	3	and	and	CCONJ
ejpam-6545	388	4	computation	computation	NOUN
ejpam-6545	388	5	,	,	PUNCT
ejpam-6545	388	6	219:2739–2748	219:2739–2748	NUM
ejpam-6545	388	7	,	,	PUNCT
ejpam-6545	388	8	2012	2012	NUM
ejpam-6545	388	9	.	.	PUNCT
ejpam-6545	389	1	[	[	X
ejpam-6545	389	2	42	42	NUM
ejpam-6545	389	3	]	]	X
ejpam-6545	389	4	ch	ch	NOUN
ejpam-6545	389	5	.	.	PUNCT
ejpam-6545	389	6	g.	g.	PROPN
ejpam-6545	389	7	philos	philos	PROPN
ejpam-6545	389	8	.	.	PUNCT
ejpam-6545	390	1	on	on	ADP
ejpam-6545	390	2	the	the	DET
ejpam-6545	390	3	existence	existence	NOUN
ejpam-6545	390	4	of	of	ADP
ejpam-6545	390	5	nonoscillatory	nonoscillatory	ADJ
ejpam-6545	390	6	solutions	solution	NOUN
ejpam-6545	390	7	tending	tend	VERB
ejpam-6545	390	8	to	to	ADP
ejpam-6545	390	9	zero	zero	NUM
ejpam-6545	390	10	at	at	ADP
ejpam-6545	390	11	infinity	infinity	NOUN
ejpam-6545	390	12	for	for	ADP
ejpam-6545	390	13	differential	differential	ADJ
ejpam-6545	390	14	equations	equation	NOUN
ejpam-6545	390	15	with	with	ADP
ejpam-6545	390	16	positive	positive	ADJ
ejpam-6545	390	17	delays	delay	NOUN
ejpam-6545	390	18	.	.	PUNCT
ejpam-6545	391	1	archiv	archiv	PROPN
ejpam-6545	391	2	der	der	PROPN
ejpam-6545	391	3	mathematik	mathematik	PROPN
ejpam-6545	391	4	(	(	PUNCT
ejpam-6545	391	5	basel	basel	PROPN
ejpam-6545	391	6	)	)	PUNCT
ejpam-6545	391	7	,	,	PUNCT
ejpam-6545	391	8	36:168	36:168	NUM
ejpam-6545	391	9	–	–	PUNCT
ejpam-6545	391	10	178	178	NUM
ejpam-6545	391	11	,	,	PUNCT
ejpam-6545	391	12	1981	1981	NUM
ejpam-6545	391	13	.	.	PUNCT
ejpam-6545	392	1	[	[	X
ejpam-6545	392	2	43	43	NUM
ejpam-6545	392	3	]	]	X
ejpam-6545	392	4	y.	y.	PROPN
ejpam-6545	392	5	kitamura	kitamura	PROPN
ejpam-6545	392	6	and	and	CCONJ
ejpam-6545	392	7	t.	t.	PROPN
ejpam-6545	392	8	kusano	kusano	PROPN
ejpam-6545	392	9	.	.	PUNCT
ejpam-6545	393	1	oscillation	oscillation	NOUN
ejpam-6545	393	2	of	of	ADP
ejpam-6545	393	3	first	first	ADJ
ejpam-6545	393	4	-	-	PUNCT
ejpam-6545	393	5	order	order	NOUN
ejpam-6545	393	6	nonlinear	nonlinear	ADJ
ejpam-6545	393	7	differential	differential	ADJ
ejpam-6545	393	8	equations	equation	NOUN
ejpam-6545	393	9	with	with	ADP
ejpam-6545	393	10	deviating	deviate	VERB
ejpam-6545	393	11	arguments	argument	NOUN
ejpam-6545	393	12	.	.	PUNCT
ejpam-6545	394	1	proceedings	proceeding	NOUN
ejpam-6545	394	2	of	of	ADP
ejpam-6545	394	3	the	the	DET
ejpam-6545	394	4	american	american	PROPN
ejpam-6545	394	5	mathematical	mathematical	PROPN
ejpam-6545	394	6	society	society	NOUN
ejpam-6545	394	7	,	,	PUNCT
ejpam-6545	394	8	78(1):64–68	78(1):64–68	NUM
ejpam-6545	394	9	,	,	PUNCT
ejpam-6545	394	10	1980	1980	NUM
ejpam-6545	394	11	.	.	PUNCT