id	sid	tid	token	lemma	pos
ejpam-4708	1	1	european	european	PROPN
ejpam-4708	1	2	journal	journal	PROPN
ejpam-4708	1	3	of	of	ADP
ejpam-4708	1	4	pure	pure	ADJ
ejpam-4708	1	5	and	and	CCONJ
ejpam-4708	1	6	applied	apply	VERB
ejpam-4708	1	7	mathematics	mathematic	NOUN
ejpam-4708	1	8	vol	vol	NOUN
ejpam-4708	1	9	.	.	PUNCT
ejpam-4708	2	1	16	16	NUM
ejpam-4708	2	2	,	,	PUNCT
ejpam-4708	2	3	no	no	INTJ
ejpam-4708	2	4	.	.	NOUN
ejpam-4708	2	5	2	2	NUM
ejpam-4708	2	6	,	,	PUNCT
ejpam-4708	2	7	2023	2023	NUM
ejpam-4708	2	8	,	,	PUNCT
ejpam-4708	2	9	713	713	NUM
ejpam-4708	2	10	-	-	SYM
ejpam-4708	2	11	723	723	NUM
ejpam-4708	2	12	issn	issn	PROPN
ejpam-4708	2	13	1307	1307	NUM
ejpam-4708	2	14	-	-	SYM
ejpam-4708	2	15	5543	5543	NUM
ejpam-4708	2	16	–	–	PUNCT
ejpam-4708	2	17	ejpam.com	ejpam.com	X
ejpam-4708	2	18	published	publish	VERB
ejpam-4708	2	19	by	by	ADP
ejpam-4708	2	20	new	new	PROPN
ejpam-4708	2	21	york	york	PROPN
ejpam-4708	2	22	business	business	PROPN
ejpam-4708	2	23	global	global	ADJ
ejpam-4708	2	24	existence	existence	NOUN
ejpam-4708	2	25	of	of	ADP
ejpam-4708	2	26	nonoscillatory	nonoscillatory	ADJ
ejpam-4708	2	27	solutions	solution	NOUN
ejpam-4708	2	28	of	of	ADP
ejpam-4708	2	29	higher	high	ADJ
ejpam-4708	2	30	order	order	NOUN
ejpam-4708	2	31	nonlinear	nonlinear	ADJ
ejpam-4708	2	32	neutral	neutral	ADJ
ejpam-4708	2	33	differential	differential	PROPN
ejpam-4708	2	34	equations	equation	NOUN
ejpam-4708	2	35	b.	b.	PROPN
ejpam-4708	2	36	çına1	çına1	PROPN
ejpam-4708	2	37	,	,	PUNCT
ejpam-4708	2	38	t.	t.	NOUN
ejpam-4708	2	39	candan2,∗and	candan2,∗and	CCONJ
ejpam-4708	2	40	m.	m.	NOUN
ejpam-4708	2	41	tamer	tame	ADJ
ejpam-4708	2	42	şenel3	şenel3	PUNCT
ejpam-4708	2	43	1	1	NUM
ejpam-4708	2	44	zara	zara	PROPN
ejpam-4708	2	45	veysel	veysel	PROPN
ejpam-4708	2	46	dursun	dursun	NOUN
ejpam-4708	2	47	school	school	NOUN
ejpam-4708	2	48	of	of	ADP
ejpam-4708	2	49	applied	apply	VERB
ejpam-4708	2	50	science	science	NOUN
ejpam-4708	2	51	,	,	PUNCT
ejpam-4708	2	52	cumhuriyet	cumhuriyet	NOUN
ejpam-4708	2	53	university	university	PROPN
ejpam-4708	2	54	,	,	PUNCT
ejpam-4708	2	55	sivas	sivas	PROPN
ejpam-4708	2	56	,	,	PUNCT
ejpam-4708	2	57	turkey	turkey	PROPN
ejpam-4708	2	58	2	2	NUM
ejpam-4708	2	59	college	college	NOUN
ejpam-4708	2	60	of	of	ADP
ejpam-4708	2	61	engineering	engineering	NOUN
ejpam-4708	2	62	and	and	CCONJ
ejpam-4708	2	63	technology	technology	NOUN
ejpam-4708	2	64	,	,	PUNCT
ejpam-4708	2	65	american	american	PROPN
ejpam-4708	2	66	university	university	PROPN
ejpam-4708	2	67	of	of	ADP
ejpam-4708	2	68	the	the	DET
ejpam-4708	2	69	middle	middle	PROPN
ejpam-4708	2	70	east	east	PROPN
ejpam-4708	2	71	,	,	PUNCT
ejpam-4708	2	72	egaila	egaila	PROPN
ejpam-4708	2	73	54200	54200	NUM
ejpam-4708	2	74	,	,	PUNCT
ejpam-4708	2	75	kuwait	kuwait	PROPN
ejpam-4708	2	76	3	3	NUM
ejpam-4708	2	77	department	department	NOUN
ejpam-4708	2	78	of	of	ADP
ejpam-4708	2	79	mathematics	mathematic	NOUN
ejpam-4708	2	80	,	,	PUNCT
ejpam-4708	2	81	faculty	faculty	NOUN
ejpam-4708	2	82	of	of	ADP
ejpam-4708	2	83	sciences	science	NOUN
ejpam-4708	2	84	,	,	PUNCT
ejpam-4708	2	85	erciyes	erciye	NOUN
ejpam-4708	2	86	university	university	NOUN
ejpam-4708	2	87	,	,	PUNCT
ejpam-4708	2	88	kayseri	kayseri	PROPN
ejpam-4708	2	89	,	,	PUNCT
ejpam-4708	2	90	turkey	turkey	PROPN
ejpam-4708	2	91	abstract	abstract	NOUN
ejpam-4708	2	92	.	.	PUNCT
ejpam-4708	3	1	in	in	ADP
ejpam-4708	3	2	this	this	DET
ejpam-4708	3	3	paper	paper	NOUN
ejpam-4708	3	4	,	,	PUNCT
ejpam-4708	3	5	an	an	DET
ejpam-4708	3	6	n	n	ADV
ejpam-4708	3	7	-	-	PUNCT
ejpam-4708	3	8	th	th	VERB
ejpam-4708	3	9	order	order	NOUN
ejpam-4708	3	10	neutral	neutral	ADJ
ejpam-4708	3	11	nonlinear	nonlinear	ADJ
ejpam-4708	3	12	differential	differential	ADJ
ejpam-4708	3	13	equation	equation	NOUN
ejpam-4708	3	14	is	be	AUX
ejpam-4708	3	15	studied	study	VERB
ejpam-4708	3	16	.	.	PUNCT
ejpam-4708	4	1	by	by	ADP
ejpam-4708	4	2	using	use	VERB
ejpam-4708	4	3	the	the	DET
ejpam-4708	4	4	banach	banach	NOUN
ejpam-4708	4	5	contraction	contraction	NOUN
ejpam-4708	4	6	principle	principle	NOUN
ejpam-4708	4	7	,	,	PUNCT
ejpam-4708	4	8	some	some	DET
ejpam-4708	4	9	sufficient	sufficient	ADJ
ejpam-4708	4	10	conditions	condition	NOUN
ejpam-4708	4	11	are	be	AUX
ejpam-4708	4	12	established	establish	VERB
ejpam-4708	4	13	for	for	ADP
ejpam-4708	4	14	the	the	DET
ejpam-4708	4	15	existence	existence	NOUN
ejpam-4708	4	16	of	of	ADP
ejpam-4708	4	17	nonoscillatory	nonoscillatory	ADJ
ejpam-4708	4	18	solutions	solution	NOUN
ejpam-4708	4	19	of	of	ADP
ejpam-4708	4	20	nonlinear	nonlinear	ADJ
ejpam-4708	4	21	n	n	CCONJ
ejpam-4708	4	22	-	-	PUNCT
ejpam-4708	4	23	th	th	VERB
ejpam-4708	4	24	order	order	NOUN
ejpam-4708	4	25	neutral	neutral	ADJ
ejpam-4708	4	26	differential	differential	NOUN
ejpam-4708	4	27	equation	equation	NOUN
ejpam-4708	4	28	.	.	PUNCT
ejpam-4708	5	1	an	an	DET
ejpam-4708	5	2	example	example	NOUN
ejpam-4708	5	3	is	be	AUX
ejpam-4708	5	4	included	include	VERB
ejpam-4708	5	5	to	to	PART
ejpam-4708	5	6	illustrate	illustrate	VERB
ejpam-4708	5	7	the	the	DET
ejpam-4708	5	8	results	result	NOUN
ejpam-4708	5	9	obtained	obtain	VERB
ejpam-4708	5	10	.	.	PUNCT
ejpam-4708	6	1	2020	2020	NUM
ejpam-4708	6	2	mathematics	mathematic	NOUN
ejpam-4708	6	3	subject	subject	NOUN
ejpam-4708	6	4	classifications	classification	NOUN
ejpam-4708	6	5	:	:	PUNCT
ejpam-4708	6	6	34k11	34k11	NUM
ejpam-4708	6	7	,	,	PUNCT
ejpam-4708	6	8	34k40	34k40	NUM
ejpam-4708	6	9	key	key	ADJ
ejpam-4708	6	10	words	word	NOUN
ejpam-4708	6	11	and	and	CCONJ
ejpam-4708	6	12	phrases	phrase	NOUN
ejpam-4708	6	13	:	:	PUNCT
ejpam-4708	6	14	fixed	fix	VERB
ejpam-4708	6	15	point	point	NOUN
ejpam-4708	6	16	,	,	PUNCT
ejpam-4708	6	17	higher	high	ADJ
ejpam-4708	6	18	-	-	PUNCT
ejpam-4708	6	19	order	order	NOUN
ejpam-4708	6	20	,	,	PUNCT
ejpam-4708	6	21	neutral	neutral	ADJ
ejpam-4708	6	22	differential	differential	NOUN
ejpam-4708	6	23	equation	equation	NOUN
ejpam-4708	6	24	,	,	PUNCT
ejpam-4708	6	25	nonoscillatory	nonoscillatory	ADJ
ejpam-4708	6	26	solution	solution	NOUN
ejpam-4708	6	27	1	1	NUM
ejpam-4708	6	28	.	.	PUNCT
ejpam-4708	7	1	introduction	introduction	NOUN
ejpam-4708	7	2	this	this	DET
ejpam-4708	7	3	paper	paper	NOUN
ejpam-4708	7	4	is	be	AUX
ejpam-4708	7	5	concerned	concern	VERB
ejpam-4708	7	6	with	with	ADP
ejpam-4708	7	7	nonoscillatory	nonoscillatory	ADJ
ejpam-4708	7	8	solutions	solution	NOUN
ejpam-4708	7	9	of	of	ADP
ejpam-4708	7	10	nonlinear	nonlinear	ADJ
ejpam-4708	7	11	n	n	CCONJ
ejpam-4708	7	12	-	-	PUNCT
ejpam-4708	7	13	th	th	VERB
ejpam-4708	7	14	order	order	NOUN
ejpam-4708	7	15	neutral	neutral	ADJ
ejpam-4708	7	16	differential	differential	ADJ
ejpam-4708	7	17	equation	equation	NOUN
ejpam-4708	7	18	of	of	ADP
ejpam-4708	7	19	the	the	DET
ejpam-4708	7	20	form	form	NOUN
ejpam-4708	8	1	[	[	X
ejpam-4708	8	2	r(t)[x(t)−	r(t)[x(t)−	PRON
ejpam-4708	8	3	p(t)x(t−	p(t)x(t−	ADV
ejpam-4708	8	4	τ)](n−1)]′	τ)](n−1)]′	PUNCT
ejpam-4708	8	5	+	+	CCONJ
ejpam-4708	8	6	(	(	PUNCT
ejpam-4708	8	7	−1)n[f1(t	−1)n[f1(t	PROPN
ejpam-4708	8	8	,	,	PUNCT
ejpam-4708	8	9	x(σ1(t)))−	x(σ1(t)))−	PROPN
ejpam-4708	8	10	f2(t	f2(t	PROPN
ejpam-4708	8	11	,	,	PUNCT
ejpam-4708	8	12	x(σ2(t)))−	x(σ2(t)))−	PROPN
ejpam-4708	8	13	g(t	g(t	PROPN
ejpam-4708	8	14	)	)	PUNCT
ejpam-4708	8	15	]	]	PUNCT
ejpam-4708	9	1	=	=	PUNCT
ejpam-4708	9	2	0	0	NUM
ejpam-4708	9	3	,	,	PUNCT
ejpam-4708	9	4	(	(	PUNCT
ejpam-4708	9	5	1	1	X
ejpam-4708	9	6	)	)	PUNCT
ejpam-4708	9	7	where	where	SCONJ
ejpam-4708	9	8	n	n	DET
ejpam-4708	9	9	≥	≥	NOUN
ejpam-4708	9	10	2	2	NUM
ejpam-4708	9	11	is	be	AUX
ejpam-4708	9	12	an	an	DET
ejpam-4708	9	13	integer	integer	NOUN
ejpam-4708	9	14	,	,	PUNCT
ejpam-4708	9	15	τ	τ	PROPN
ejpam-4708	9	16	>	>	X
ejpam-4708	9	17	0	0	PROPN
ejpam-4708	9	18	,	,	PUNCT
ejpam-4708	9	19	p	p	X
ejpam-4708	9	20	,	,	PUNCT
ejpam-4708	9	21	σi	σi	NOUN
ejpam-4708	9	22	,	,	PUNCT
ejpam-4708	9	23	g	g	PROPN
ejpam-4708	9	24	∈	∈	PROPN
ejpam-4708	9	25	c([t0,∞),r	c([t0,∞),r	NUM
ejpam-4708	9	26	)	)	PUNCT
ejpam-4708	9	27	,	,	PUNCT
ejpam-4708	9	28	r	r	NOUN
ejpam-4708	9	29	∈	∈	NOUN
ejpam-4708	9	30	c([t0,∞	c([t0,∞	NOUN
ejpam-4708	9	31	)	)	PUNCT
ejpam-4708	9	32	,	,	PUNCT
ejpam-4708	9	33	(	(	PUNCT
ejpam-4708	9	34	0,∞	0,∞	NOUN
ejpam-4708	9	35	)	)	PUNCT
ejpam-4708	9	36	)	)	PUNCT
ejpam-4708	10	1	and	and	CCONJ
ejpam-4708	10	2	limt→∞	limt→∞	PROPN
ejpam-4708	10	3	σi(t	σi(t	NOUN
ejpam-4708	10	4	)	)	PUNCT
ejpam-4708	11	1	=	=	SYM
ejpam-4708	11	2	∞	∞	PROPN
ejpam-4708	11	3	,	,	PUNCT
ejpam-4708	11	4	i	i	PRON
ejpam-4708	11	5	=	=	NOUN
ejpam-4708	11	6	1	1	NUM
ejpam-4708	11	7	,	,	PUNCT
ejpam-4708	11	8	2	2	NUM
ejpam-4708	11	9	.	.	PUNCT
ejpam-4708	12	1	throughout	throughout	ADP
ejpam-4708	12	2	this	this	DET
ejpam-4708	12	3	article	article	NOUN
ejpam-4708	12	4	,	,	PUNCT
ejpam-4708	12	5	we	we	PRON
ejpam-4708	12	6	assume	assume	VERB
ejpam-4708	12	7	that	that	SCONJ
ejpam-4708	12	8	fi(t	fi(t	NOUN
ejpam-4708	12	9	,	,	PUNCT
ejpam-4708	12	10	x	x	X
ejpam-4708	12	11	)	)	PUNCT
ejpam-4708	12	12	∈	∈	PROPN
ejpam-4708	12	13	c([t0,∞)×r	c([t0,∞)×r	PROPN
ejpam-4708	12	14	,	,	PUNCT
ejpam-4708	12	15	r	r	NOUN
ejpam-4708	12	16	)	)	PUNCT
ejpam-4708	12	17	is	be	AUX
ejpam-4708	12	18	a	a	DET
ejpam-4708	12	19	nondecreasing	nondecrease	VERB
ejpam-4708	12	20	in	in	ADP
ejpam-4708	12	21	x	x	PUNCT
ejpam-4708	12	22	for	for	ADP
ejpam-4708	12	23	i	i	PRON
ejpam-4708	12	24	=	=	NOUN
ejpam-4708	12	25	1	1	NUM
ejpam-4708	12	26	,	,	PUNCT
ejpam-4708	12	27	2	2	NUM
ejpam-4708	12	28	,	,	PUNCT
ejpam-4708	12	29	xfi(t	xfi(t	PROPN
ejpam-4708	12	30	,	,	PUNCT
ejpam-4708	12	31	x	x	X
ejpam-4708	12	32	)	)	PUNCT
ejpam-4708	12	33	>	>	X
ejpam-4708	12	34	0	0	PUNCT
ejpam-4708	13	1	for	for	ADP
ejpam-4708	13	2	x	x	SYM
ejpam-4708	13	3	̸=	̸=	PROPN
ejpam-4708	13	4	0	0	NUM
ejpam-4708	13	5	,	,	PUNCT
ejpam-4708	13	6	i	i	PRON
ejpam-4708	13	7	=	=	NOUN
ejpam-4708	13	8	1	1	NUM
ejpam-4708	13	9	,	,	PUNCT
ejpam-4708	13	10	2	2	NUM
ejpam-4708	13	11	,	,	PUNCT
ejpam-4708	13	12	and	and	CCONJ
ejpam-4708	13	13	satisfies	satisfie	NOUN
ejpam-4708	13	14	|fi(t	|fi(t	NUM
ejpam-4708	13	15	,	,	PUNCT
ejpam-4708	13	16	x)−	x)−	PROPN
ejpam-4708	13	17	fi(t	fi(t	PROPN
ejpam-4708	13	18	,	,	PUNCT
ejpam-4708	13	19	y)|	y)|	PROPN
ejpam-4708	13	20	≤	≤	PUNCT
ejpam-4708	13	21	qi(t)|x−	qi(t)|x−	PROPN
ejpam-4708	13	22	y|	y|	NOUN
ejpam-4708	13	23	for	for	ADP
ejpam-4708	13	24	t	t	PROPN
ejpam-4708	13	25	∈	∈	PROPN
ejpam-4708	13	26	[	[	X
ejpam-4708	13	27	t0,∞	t0,∞	NUM
ejpam-4708	13	28	)	)	PUNCT
ejpam-4708	13	29	and	and	CCONJ
ejpam-4708	13	30	x	x	X
ejpam-4708	13	31	,	,	PUNCT
ejpam-4708	13	32	y	y	PROPN
ejpam-4708	13	33	∈	∈	PROPN
ejpam-4708	14	1	[	[	X
ejpam-4708	14	2	a	a	X
ejpam-4708	14	3	,	,	PUNCT
ejpam-4708	14	4	b	b	NOUN
ejpam-4708	14	5	]	]	X
ejpam-4708	14	6	,	,	PUNCT
ejpam-4708	14	7	(	(	PUNCT
ejpam-4708	14	8	2	2	X
ejpam-4708	14	9	)	)	PUNCT
ejpam-4708	14	10	where	where	SCONJ
ejpam-4708	14	11	qi	qi	NOUN
ejpam-4708	14	12	∈	∈	PROPN
ejpam-4708	14	13	c([t0,∞	c([t0,∞	NOUN
ejpam-4708	14	14	)	)	PUNCT
ejpam-4708	14	15	,	,	PUNCT
ejpam-4708	14	16	(	(	PUNCT
ejpam-4708	14	17	0,∞	0,∞	NOUN
ejpam-4708	14	18	)	)	PUNCT
ejpam-4708	14	19	)	)	PUNCT
ejpam-4708	14	20	,	,	PUNCT
ejpam-4708	14	21	i	i	PRON
ejpam-4708	14	22	=	=	NOUN
ejpam-4708	14	23	1	1	NUM
ejpam-4708	14	24	,	,	PUNCT
ejpam-4708	14	25	2	2	NUM
ejpam-4708	14	26	,	,	PUNCT
ejpam-4708	14	27	and	and	CCONJ
ejpam-4708	14	28	[	[	X
ejpam-4708	14	29	a	a	X
ejpam-4708	14	30	,	,	PUNCT
ejpam-4708	14	31	b	b	NOUN
ejpam-4708	14	32	]	]	X
ejpam-4708	14	33	(	(	PUNCT
ejpam-4708	14	34	0	0	PUNCT
ejpam-4708	14	35	<	<	X
ejpam-4708	14	36	a	a	DET
ejpam-4708	14	37	<	<	X
ejpam-4708	14	38	b	b	NOUN
ejpam-4708	14	39	or	or	CCONJ
ejpam-4708	14	40	a	a	DET
ejpam-4708	14	41	<	<	X
ejpam-4708	14	42	b	b	X
ejpam-4708	14	43	<	<	X
ejpam-4708	14	44	0	0	NUM
ejpam-4708	14	45	)	)	PUNCT
ejpam-4708	14	46	is	be	AUX
ejpam-4708	14	47	any	any	DET
ejpam-4708	14	48	closed	closed	ADJ
ejpam-4708	14	49	interval	interval	NOUN
ejpam-4708	14	50	.	.	PUNCT
ejpam-4708	15	1	furthermore	furthermore	ADV
ejpam-4708	15	2	,	,	PUNCT
ejpam-4708	15	3	suppose	suppose	VERB
ejpam-4708	16	1	that∫	that∫	PROPN
ejpam-4708	16	2	∞	∞	PROPN
ejpam-4708	16	3	t0	t0	PROPN
ejpam-4708	16	4	∫	∫	PROPN
ejpam-4708	16	5	s	s	PART
ejpam-4708	16	6	t0	t0	PROPN
ejpam-4708	16	7	sn−2	sn−2	ADP
ejpam-4708	16	8	r(s	r(s	PROPN
ejpam-4708	16	9	)	)	PUNCT
ejpam-4708	16	10	qi(u)duds	qi(u)duds	ADP
ejpam-4708	16	11	<	<	X
ejpam-4708	16	12	∞	∞	PROPN
ejpam-4708	16	13	,	,	PUNCT
ejpam-4708	16	14	i	i	PRON
ejpam-4708	16	15	=	=	NOUN
ejpam-4708	16	16	1	1	NUM
ejpam-4708	16	17	,	,	PUNCT
ejpam-4708	16	18	2	2	NUM
ejpam-4708	16	19	,	,	PUNCT
ejpam-4708	16	20	(	(	PUNCT
ejpam-4708	16	21	3	3	X
ejpam-4708	16	22	)	)	PUNCT
ejpam-4708	16	23	∗corresponding	∗corresponde	VERB
ejpam-4708	16	24	author	author	NOUN
ejpam-4708	16	25	.	.	PUNCT
ejpam-4708	17	1	doi	doi	NOUN
ejpam-4708	17	2	:	:	PUNCT
ejpam-4708	17	3	https://doi.org/10.29020/nybg.ejpam.v16i2.4708	https://doi.org/10.29020/nybg.ejpam.v16i2.4708	ADJ
ejpam-4708	17	4	email	email	NOUN
ejpam-4708	17	5	addresses	address	NOUN
ejpam-4708	17	6	:	:	PUNCT
ejpam-4708	17	7	bengu58cina@gmail.com	bengu58cina@gmail.com	NUM
ejpam-4708	17	8	(	(	PUNCT
ejpam-4708	17	9	b.	b.	PROPN
ejpam-4708	17	10	çına	çına	PROPN
ejpam-4708	17	11	)	)	PUNCT
ejpam-4708	17	12	,	,	PUNCT
ejpam-4708	17	13	tuncay.candan@aum.edu.kw	tuncay.candan@aum.edu.kw	PROPN
ejpam-4708	17	14	(	(	PUNCT
ejpam-4708	17	15	t.	t.	PROPN
ejpam-4708	17	16	candan	candan	PROPN
ejpam-4708	17	17	)	)	PUNCT
ejpam-4708	17	18	senel@erciyes.edu.tr	senel@erciyes.edu.tr	ADV
ejpam-4708	17	19	(	(	PUNCT
ejpam-4708	17	20	m.	m.	NOUN
ejpam-4708	17	21	tamer	tame	ADJ
ejpam-4708	17	22	şenel	şenel	PROPN
ejpam-4708	17	23	)	)	PUNCT
ejpam-4708	17	24	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4708	18	1	713	713	NUM
ejpam-4708	19	1	©	©	ADP
ejpam-4708	19	2	2023	2023	NUM
ejpam-4708	19	3	ejpam	ejpam	NOUN
ejpam-4708	19	4	all	all	DET
ejpam-4708	19	5	rights	right	NOUN
ejpam-4708	19	6	reserved	reserve	VERB
ejpam-4708	19	7	.	.	PUNCT
ejpam-4708	20	1	b.	b.	PROPN
ejpam-4708	20	2	çına	çına	PROPN
ejpam-4708	20	3	,	,	PUNCT
ejpam-4708	20	4	t.	t.	PROPN
ejpam-4708	20	5	candan	candan	PROPN
ejpam-4708	20	6	,	,	PUNCT
ejpam-4708	20	7	m.	m.	NOUN
ejpam-4708	20	8	tamer	tamer	AUX
ejpam-4708	20	9	şenel	şenel	PROPN
ejpam-4708	20	10	/	/	SYM
ejpam-4708	20	11	eur	eur	NOUN
ejpam-4708	20	12	.	.	PUNCT
ejpam-4708	21	1	j.	j.	PROPN
ejpam-4708	21	2	pure	pure	PROPN
ejpam-4708	21	3	appl	appl	PROPN
ejpam-4708	21	4	.	.	PROPN
ejpam-4708	21	5	math	math	PROPN
ejpam-4708	21	6	,	,	PUNCT
ejpam-4708	21	7	16	16	NUM
ejpam-4708	21	8	(	(	PUNCT
ejpam-4708	21	9	2	2	NUM
ejpam-4708	21	10	)	)	PUNCT
ejpam-4708	21	11	(	(	PUNCT
ejpam-4708	21	12	2023	2023	NUM
ejpam-4708	21	13	)	)	PUNCT
ejpam-4708	21	14	,	,	PUNCT
ejpam-4708	21	15	713	713	NUM
ejpam-4708	21	16	-	-	SYM
ejpam-4708	21	17	723	723	NUM
ejpam-4708	21	18	714	714	NUM
ejpam-4708	21	19	∫	∫	NOUN
ejpam-4708	22	1	∞	∞	NUM
ejpam-4708	22	2	t0	t0	PROPN
ejpam-4708	22	3	∫	∫	PROPN
ejpam-4708	22	4	s	s	PART
ejpam-4708	22	5	t0	t0	PROPN
ejpam-4708	22	6	sn−2	sn−2	ADP
ejpam-4708	22	7	r(s	r(s	PROPN
ejpam-4708	22	8	)	)	PUNCT
ejpam-4708	22	9	|fi(u	|fi(u	NOUN
ejpam-4708	22	10	,	,	PUNCT
ejpam-4708	22	11	d)|duds	d)|dud	VERB
ejpam-4708	22	12	<	<	X
ejpam-4708	22	13	∞	∞	PROPN
ejpam-4708	22	14	for	for	ADP
ejpam-4708	22	15	some	some	DET
ejpam-4708	22	16	d	d	PROPN
ejpam-4708	22	17	̸=	̸=	PROPN
ejpam-4708	22	18	0	0	NUM
ejpam-4708	22	19	,	,	PUNCT
ejpam-4708	22	20	i	i	PRON
ejpam-4708	22	21	=	=	NOUN
ejpam-4708	22	22	1	1	NUM
ejpam-4708	22	23	,	,	PUNCT
ejpam-4708	22	24	2	2	NUM
ejpam-4708	22	25	,	,	PUNCT
ejpam-4708	22	26	(	(	PUNCT
ejpam-4708	22	27	4	4	NUM
ejpam-4708	22	28	)	)	PUNCT
ejpam-4708	22	29	and	and	CCONJ
ejpam-4708	22	30	∫	∫	PROPN
ejpam-4708	22	31	∞	∞	PROPN
ejpam-4708	22	32	t0	t0	PROPN
ejpam-4708	22	33	∫	∫	PROPN
ejpam-4708	22	34	s	s	PART
ejpam-4708	22	35	t0	t0	PROPN
ejpam-4708	22	36	sn−2	sn−2	ADP
ejpam-4708	22	37	r(s	r(s	PROPN
ejpam-4708	22	38	)	)	PUNCT
ejpam-4708	22	39	|g(u)|duds	|g(u)|duds	PROPN
ejpam-4708	22	40	<	<	X
ejpam-4708	22	41	∞	∞	PROPN
ejpam-4708	22	42	(	(	PUNCT
ejpam-4708	22	43	5	5	NUM
ejpam-4708	22	44	)	)	PUNCT
ejpam-4708	22	45	hold	hold	NOUN
ejpam-4708	22	46	.	.	PUNCT
ejpam-4708	23	1	oscillation	oscillation	NOUN
ejpam-4708	23	2	and	and	CCONJ
ejpam-4708	23	3	nonoscillation	nonoscillation	NOUN
ejpam-4708	23	4	phenomena	phenomenon	NOUN
ejpam-4708	23	5	appear	appear	VERB
ejpam-4708	23	6	in	in	ADP
ejpam-4708	23	7	different	different	ADJ
ejpam-4708	23	8	models	model	NOUN
ejpam-4708	23	9	from	from	ADP
ejpam-4708	23	10	real	real	ADJ
ejpam-4708	23	11	world	world	NOUN
ejpam-4708	23	12	applications	application	NOUN
ejpam-4708	23	13	;	;	PUNCT
ejpam-4708	23	14	see	see	VERB
ejpam-4708	23	15	,	,	PUNCT
ejpam-4708	23	16	for	for	ADP
ejpam-4708	23	17	instance	instance	NOUN
ejpam-4708	23	18	,	,	PUNCT
ejpam-4708	23	19	oscillatory	oscillatory	ADJ
ejpam-4708	23	20	and	and	CCONJ
ejpam-4708	23	21	nonoscillatory	nonoscillatory	ADJ
ejpam-4708	23	22	solutions	solution	NOUN
ejpam-4708	23	23	may	may	AUX
ejpam-4708	23	24	appear	appear	VERB
ejpam-4708	23	25	in	in	ADP
ejpam-4708	23	26	impulsive	impulsive	ADJ
ejpam-4708	23	27	partial	partial	ADJ
ejpam-4708	23	28	neutral	neutral	ADJ
ejpam-4708	23	29	differential	differential	NOUN
ejpam-4708	23	30	equations	equation	NOUN
ejpam-4708	23	31	from	from	ADP
ejpam-4708	23	32	mathematical	mathematical	ADJ
ejpam-4708	23	33	biology	biology	NOUN
ejpam-4708	23	34	,	,	PUNCT
ejpam-4708	23	35	we	we	PRON
ejpam-4708	23	36	refer	refer	VERB
ejpam-4708	23	37	to	to	ADP
ejpam-4708	23	38	the	the	DET
ejpam-4708	23	39	papers	paper	NOUN
ejpam-4708	23	40	[	[	X
ejpam-4708	23	41	11	11	NUM
ejpam-4708	23	42	,	,	PUNCT
ejpam-4708	23	43	12	12	NUM
ejpam-4708	23	44	,	,	PUNCT
ejpam-4708	23	45	16	16	NUM
ejpam-4708	23	46	]	]	PUNCT
ejpam-4708	23	47	where	where	SCONJ
ejpam-4708	23	48	impulsive	impulsive	ADJ
ejpam-4708	23	49	effects	effect	NOUN
ejpam-4708	23	50	are	be	AUX
ejpam-4708	23	51	modelled	model	VERB
ejpam-4708	23	52	by	by	ADP
ejpam-4708	23	53	external	external	ADJ
ejpam-4708	23	54	sources	source	NOUN
ejpam-4708	23	55	complementing	complement	VERB
ejpam-4708	23	56	partial	partial	ADJ
ejpam-4708	23	57	differential	differential	ADJ
ejpam-4708	23	58	equations	equation	NOUN
ejpam-4708	23	59	involving	involve	VERB
ejpam-4708	23	60	taxis	taxi	NOUN
ejpam-4708	23	61	mechanisms	mechanism	NOUN
ejpam-4708	23	62	,	,	PUNCT
ejpam-4708	23	63	and	and	CCONJ
ejpam-4708	23	64	arising	arise	VERB
ejpam-4708	23	65	in	in	ADP
ejpam-4708	23	66	biomathematics	biomathematic	NOUN
ejpam-4708	23	67	.	.	PUNCT
ejpam-4708	24	1	we	we	PRON
ejpam-4708	24	2	also	also	ADV
ejpam-4708	24	3	refer	refer	VERB
ejpam-4708	24	4	the	the	DET
ejpam-4708	24	5	reader	reader	NOUN
ejpam-4708	24	6	to	to	ADP
ejpam-4708	24	7	the	the	DET
ejpam-4708	24	8	papers	paper	NOUN
ejpam-4708	24	9	[	[	X
ejpam-4708	24	10	9	9	NUM
ejpam-4708	24	11	,	,	PUNCT
ejpam-4708	24	12	14	14	NUM
ejpam-4708	24	13	,	,	PUNCT
ejpam-4708	24	14	15	15	NUM
ejpam-4708	24	15	]	]	PUNCT
ejpam-4708	24	16	for	for	ADP
ejpam-4708	24	17	the	the	DET
ejpam-4708	24	18	oscillation	oscillation	NOUN
ejpam-4708	24	19	and	and	CCONJ
ejpam-4708	24	20	asymptotic	asymptotic	ADJ
ejpam-4708	24	21	behavior	behavior	NOUN
ejpam-4708	24	22	of	of	ADP
ejpam-4708	24	23	solutions	solution	NOUN
ejpam-4708	24	24	to	to	ADP
ejpam-4708	24	25	various	various	ADJ
ejpam-4708	24	26	classes	class	NOUN
ejpam-4708	24	27	of	of	ADP
ejpam-4708	24	28	neutral	neutral	ADJ
ejpam-4708	24	29	differential	differential	ADJ
ejpam-4708	24	30	equations	equation	NOUN
ejpam-4708	24	31	.	.	PUNCT
ejpam-4708	25	1	in	in	ADP
ejpam-4708	25	2	particular	particular	ADJ
ejpam-4708	25	3	,	,	PUNCT
ejpam-4708	25	4	zhou	zhou	PROPN
ejpam-4708	25	5	and	and	CCONJ
ejpam-4708	25	6	zhang	zhang	PROPN
ejpam-4708	26	1	[	[	X
ejpam-4708	26	2	21	21	NUM
ejpam-4708	26	3	]	]	PUNCT
ejpam-4708	26	4	and	and	CCONJ
ejpam-4708	26	5	candan	candan	PROPN
ejpam-4708	27	1	[	[	X
ejpam-4708	27	2	4	4	NUM
ejpam-4708	27	3	]	]	PUNCT
ejpam-4708	27	4	studied	study	VERB
ejpam-4708	27	5	existence	existence	NOUN
ejpam-4708	27	6	of	of	ADP
ejpam-4708	27	7	nonoscillatory	nonoscillatory	ADJ
ejpam-4708	27	8	solutions	solution	NOUN
ejpam-4708	27	9	of	of	ADP
ejpam-4708	27	10	higher	high	ADJ
ejpam-4708	27	11	order	order	NOUN
ejpam-4708	27	12	neutral	neutral	ADJ
ejpam-4708	27	13	differential	differential	ADJ
ejpam-4708	27	14	equations	equation	NOUN
ejpam-4708	27	15	of	of	ADP
ejpam-4708	27	16	the	the	DET
ejpam-4708	27	17	form	form	NOUN
ejpam-4708	27	18	dn	dn	ADP
ejpam-4708	27	19	dtn	dtn	PROPN
ejpam-4708	28	1	[	[	X
ejpam-4708	28	2	x(t	x(t	PROPN
ejpam-4708	28	3	)	)	PUNCT
ejpam-4708	28	4	+	+	NUM
ejpam-4708	28	5	cx(t−	cx(t−	NOUN
ejpam-4708	28	6	τ	τ	PROPN
ejpam-4708	28	7	)	)	PUNCT
ejpam-4708	28	8	]	]	PUNCT
ejpam-4708	29	1	+	+	CCONJ
ejpam-4708	29	2	(	(	PUNCT
ejpam-4708	29	3	−1)n+1	−1)n+1	VERB
ejpam-4708	29	4	[	[	X
ejpam-4708	29	5	p	p	X
ejpam-4708	29	6	(	(	PUNCT
ejpam-4708	29	7	t)x(t−	t)x(t−	INTJ
ejpam-4708	29	8	σ)−q(t)x(t−	σ)−q(t)x(t−	PROPN
ejpam-4708	29	9	δ	δ	PROPN
ejpam-4708	29	10	)	)	PUNCT
ejpam-4708	29	11	]	]	PUNCT
ejpam-4708	30	1	=	=	PUNCT
ejpam-4708	30	2	0	0	PUNCT
ejpam-4708	30	3	(	(	PUNCT
ejpam-4708	30	4	6	6	NUM
ejpam-4708	30	5	)	)	PUNCT
ejpam-4708	30	6	and	and	CCONJ
ejpam-4708	30	7	[	[	X
ejpam-4708	30	8	r(t)[x(t	r(t)[x(t	X
ejpam-4708	30	9	)	)	PUNCT
ejpam-4708	30	10	+	+	X
ejpam-4708	30	11	p	p	X
ejpam-4708	30	12	(	(	PUNCT
ejpam-4708	30	13	t)x(t−	t)x(t−	ADV
ejpam-4708	30	14	τ)](n−1)]′	τ)](n−1)]′	PUNCT
ejpam-4708	30	15	+	+	CCONJ
ejpam-4708	30	16	(	(	PUNCT
ejpam-4708	30	17	−1)n[q1(t)g1(x(t−	−1)n[q1(t)g1(x(t−	NUM
ejpam-4708	30	18	σ1))−q2(t)g2(x(t−	σ1))−q2(t)g2(x(t−	INTJ
ejpam-4708	30	19	σ2))−	σ2))−	NOUN
ejpam-4708	30	20	f(t	f(t	PROPN
ejpam-4708	30	21	)	)	PUNCT
ejpam-4708	30	22	]	]	PUNCT
ejpam-4708	31	1	=	=	PUNCT
ejpam-4708	31	2	0	0	NUM
ejpam-4708	31	3	,	,	PUNCT
ejpam-4708	31	4	(	(	PUNCT
ejpam-4708	31	5	7	7	X
ejpam-4708	31	6	)	)	PUNCT
ejpam-4708	31	7	respectively	respectively	ADV
ejpam-4708	31	8	.	.	PUNCT
ejpam-4708	32	1	later	later	ADV
ejpam-4708	32	2	,	,	PUNCT
ejpam-4708	32	3	çına	çına	PROPN
ejpam-4708	32	4	et	et	NOUN
ejpam-4708	32	5	al.[8	al.[8	PROPN
ejpam-4708	32	6	]	]	PUNCT
ejpam-4708	32	7	studied	study	VERB
ejpam-4708	32	8	the	the	DET
ejpam-4708	32	9	existence	existence	NOUN
ejpam-4708	32	10	of	of	ADP
ejpam-4708	32	11	nonoscillatory	nonoscillatory	ADJ
ejpam-4708	32	12	solutions	solution	NOUN
ejpam-4708	32	13	of	of	ADP
ejpam-4708	32	14	nonlinear	nonlinear	ADJ
ejpam-4708	32	15	second	second	ADJ
ejpam-4708	32	16	order	order	NOUN
ejpam-4708	32	17	neutral	neutral	ADJ
ejpam-4708	32	18	differential	differential	ADJ
ejpam-4708	32	19	equation	equation	NOUN
ejpam-4708	32	20	with	with	ADP
ejpam-4708	32	21	forcing	force	VERB
ejpam-4708	32	22	term	term	NOUN
ejpam-4708	32	23	of	of	ADP
ejpam-4708	32	24	the	the	DET
ejpam-4708	32	25	form	form	NOUN
ejpam-4708	32	26	(	(	PUNCT
ejpam-4708	32	27	r(t	r(t	NOUN
ejpam-4708	32	28	)	)	PUNCT
ejpam-4708	32	29	(	(	PUNCT
ejpam-4708	32	30	x(t)−	x(t)−	PROPN
ejpam-4708	32	31	p(t)x(t−	p(t)x(t−	PROPN
ejpam-4708	32	32	τ))′	τ))′	PUNCT
ejpam-4708	32	33	)	)	PUNCT
ejpam-4708	32	34	′	′	NUM
ejpam-4708	33	1	+	+	CCONJ
ejpam-4708	33	2	f1(t	f1(t	PROPN
ejpam-4708	33	3	,	,	PUNCT
ejpam-4708	33	4	x(σ1(t)))−	x(σ1(t)))−	PROPN
ejpam-4708	33	5	f2(t	f2(t	PROPN
ejpam-4708	33	6	,	,	PUNCT
ejpam-4708	33	7	x(σ2(t	x(σ2(t	PROPN
ejpam-4708	33	8	)	)	PUNCT
ejpam-4708	33	9	)	)	PUNCT
ejpam-4708	33	10	)	)	PUNCT
ejpam-4708	34	1	=	=	SYM
ejpam-4708	34	2	g(t	g(t	PROPN
ejpam-4708	34	3	)	)	PUNCT
ejpam-4708	34	4	.	.	PUNCT
ejpam-4708	35	1	motivated	motivate	VERB
ejpam-4708	35	2	by	by	ADP
ejpam-4708	35	3	the	the	DET
ejpam-4708	35	4	idea	idea	NOUN
ejpam-4708	35	5	of	of	ADP
ejpam-4708	35	6	[	[	X
ejpam-4708	35	7	4	4	NUM
ejpam-4708	35	8	,	,	PUNCT
ejpam-4708	35	9	8	8	NUM
ejpam-4708	35	10	,	,	PUNCT
ejpam-4708	35	11	21	21	NUM
ejpam-4708	35	12	]	]	PUNCT
ejpam-4708	35	13	,	,	PUNCT
ejpam-4708	35	14	the	the	DET
ejpam-4708	35	15	goal	goal	NOUN
ejpam-4708	35	16	of	of	ADP
ejpam-4708	35	17	this	this	DET
ejpam-4708	35	18	paper	paper	NOUN
ejpam-4708	35	19	is	be	AUX
ejpam-4708	35	20	to	to	PART
ejpam-4708	35	21	present	present	VERB
ejpam-4708	35	22	some	some	DET
ejpam-4708	35	23	sufficient	sufficient	ADJ
ejpam-4708	35	24	conditions	condition	NOUN
ejpam-4708	35	25	for	for	ADP
ejpam-4708	35	26	the	the	DET
ejpam-4708	35	27	existence	existence	NOUN
ejpam-4708	35	28	of	of	ADP
ejpam-4708	35	29	nonoscillatory	nonoscillatory	ADJ
ejpam-4708	35	30	solutions	solution	NOUN
ejpam-4708	35	31	of	of	ADP
ejpam-4708	35	32	(	(	PUNCT
ejpam-4708	35	33	1	1	NUM
ejpam-4708	35	34	)	)	PUNCT
ejpam-4708	35	35	.	.	PUNCT
ejpam-4708	36	1	for	for	ADP
ejpam-4708	36	2	related	related	ADJ
ejpam-4708	36	3	studies	study	NOUN
ejpam-4708	36	4	on	on	ADP
ejpam-4708	36	5	the	the	DET
ejpam-4708	36	6	existence	existence	NOUN
ejpam-4708	36	7	of	of	ADP
ejpam-4708	36	8	nonoscillatory	nonoscillatory	ADJ
ejpam-4708	36	9	solutions	solution	NOUN
ejpam-4708	36	10	of	of	ADP
ejpam-4708	36	11	second	second	ADJ
ejpam-4708	36	12	or	or	CCONJ
ejpam-4708	36	13	higher	high	ADJ
ejpam-4708	36	14	order	order	NOUN
ejpam-4708	36	15	neutral	neutral	ADJ
ejpam-4708	36	16	differential	differential	NOUN
ejpam-4708	36	17	and	and	CCONJ
ejpam-4708	36	18	difference	difference	NOUN
ejpam-4708	36	19	equations	equation	NOUN
ejpam-4708	36	20	the	the	DET
ejpam-4708	36	21	reader	reader	NOUN
ejpam-4708	36	22	is	be	AUX
ejpam-4708	36	23	referred	refer	VERB
ejpam-4708	36	24	to	to	ADP
ejpam-4708	36	25	the	the	DET
ejpam-4708	36	26	papers	paper	NOUN
ejpam-4708	36	27	[	[	X
ejpam-4708	36	28	3	3	NUM
ejpam-4708	36	29	,	,	PUNCT
ejpam-4708	36	30	5–7	5–7	NUM
ejpam-4708	36	31	,	,	PUNCT
ejpam-4708	36	32	17–20	17–20	NUM
ejpam-4708	36	33	]	]	PUNCT
ejpam-4708	36	34	and	and	CCONJ
ejpam-4708	36	35	books	book	NOUN
ejpam-4708	36	36	[	[	X
ejpam-4708	36	37	1	1	NUM
ejpam-4708	36	38	,	,	PUNCT
ejpam-4708	36	39	2	2	NUM
ejpam-4708	36	40	,	,	PUNCT
ejpam-4708	36	41	10	10	NUM
ejpam-4708	36	42	,	,	PUNCT
ejpam-4708	36	43	13	13	NUM
ejpam-4708	36	44	]	]	PUNCT
ejpam-4708	36	45	.	.	PUNCT
ejpam-4708	37	1	let	let	VERB
ejpam-4708	37	2	t0	t0	NOUN
ejpam-4708	37	3	=	=	VERB
ejpam-4708	37	4	min{t1	min{t1	NOUN
ejpam-4708	37	5	−	−	PROPN
ejpam-4708	37	6	τ	τ	PROPN
ejpam-4708	37	7	,	,	PUNCT
ejpam-4708	37	8	inf	inf	NOUN
ejpam-4708	37	9	t≥t1	t≥t1	PRON
ejpam-4708	37	10	σ1(t	σ1(t	PROPN
ejpam-4708	37	11	)	)	PUNCT
ejpam-4708	37	12	,	,	PUNCT
ejpam-4708	37	13	inf	inf	NOUN
ejpam-4708	37	14	t≥t1	t≥t1	PRON
ejpam-4708	37	15	σ2(t	σ2(t	PROPN
ejpam-4708	37	16	)	)	PUNCT
ejpam-4708	37	17	}	}	PUNCT
ejpam-4708	37	18	for	for	ADP
ejpam-4708	37	19	t1	t1	PROPN
ejpam-4708	37	20	≥	≥	NUM
ejpam-4708	37	21	t0	t0	PROPN
ejpam-4708	37	22	.	.	PUNCT
ejpam-4708	38	1	by	by	ADP
ejpam-4708	38	2	a	a	DET
ejpam-4708	38	3	solution	solution	NOUN
ejpam-4708	38	4	of	of	ADP
ejpam-4708	38	5	equation	equation	NOUN
ejpam-4708	38	6	(	(	PUNCT
ejpam-4708	38	7	1	1	NUM
ejpam-4708	38	8	)	)	PUNCT
ejpam-4708	38	9	,	,	PUNCT
ejpam-4708	38	10	we	we	PRON
ejpam-4708	38	11	mean	mean	VERB
ejpam-4708	38	12	a	a	DET
ejpam-4708	38	13	function	function	NOUN
ejpam-4708	38	14	x	x	X
ejpam-4708	38	15	∈	∈	PROPN
ejpam-4708	38	16	c([t0,∞),r	c([t0,∞),r	NUM
ejpam-4708	38	17	)	)	PUNCT
ejpam-4708	38	18	in	in	ADP
ejpam-4708	38	19	the	the	DET
ejpam-4708	38	20	sense	sense	NOUN
ejpam-4708	38	21	that	that	SCONJ
ejpam-4708	38	22	x(t)−	x(t)−	PROPN
ejpam-4708	38	23	p(t)x(t−	p(t)x(t−	NOUN
ejpam-4708	38	24	τ	τ	PROPN
ejpam-4708	38	25	)	)	PUNCT
ejpam-4708	38	26	is	be	AUX
ejpam-4708	38	27	n−	n−	NOUN
ejpam-4708	38	28	1	1	NUM
ejpam-4708	38	29	times	time	NOUN
ejpam-4708	38	30	continuously	continuously	ADV
ejpam-4708	38	31	differentiable	differentiable	VERB
ejpam-4708	38	32	and	and	CCONJ
ejpam-4708	38	33	r(t)(x(t)−	r(t)(x(t)−	PROPN
ejpam-4708	38	34	p(t)x(t−	p(t)x(t−	NOUN
ejpam-4708	38	35	τ))(n−1	τ))(n−1	PUNCT
ejpam-4708	38	36	)	)	PUNCT
ejpam-4708	38	37	is	be	AUX
ejpam-4708	38	38	continuously	continuously	ADV
ejpam-4708	38	39	differentiable	differentiable	ADJ
ejpam-4708	38	40	on	on	ADP
ejpam-4708	38	41	[	[	X
ejpam-4708	38	42	t1,∞	t1,∞	X
ejpam-4708	38	43	)	)	PUNCT
ejpam-4708	38	44	and	and	CCONJ
ejpam-4708	38	45	such	such	ADJ
ejpam-4708	38	46	that	that	DET
ejpam-4708	38	47	equation	equation	NOUN
ejpam-4708	38	48	(	(	PUNCT
ejpam-4708	38	49	1	1	X
ejpam-4708	38	50	)	)	PUNCT
ejpam-4708	38	51	is	be	AUX
ejpam-4708	38	52	satisfied	satisfied	ADJ
ejpam-4708	38	53	for	for	ADP
ejpam-4708	38	54	t	t	PROPN
ejpam-4708	38	55	≥	≥	NUM
ejpam-4708	38	56	t1	t1	NOUN
ejpam-4708	38	57	.	.	PUNCT
ejpam-4708	39	1	as	as	ADP
ejpam-4708	39	2	usual	usual	ADJ
ejpam-4708	39	3	,	,	PUNCT
ejpam-4708	39	4	a	a	DET
ejpam-4708	39	5	solution	solution	NOUN
ejpam-4708	39	6	of	of	ADP
ejpam-4708	39	7	(	(	PUNCT
ejpam-4708	39	8	1	1	NUM
ejpam-4708	39	9	)	)	PUNCT
ejpam-4708	39	10	is	be	AUX
ejpam-4708	39	11	said	say	VERB
ejpam-4708	39	12	to	to	PART
ejpam-4708	39	13	be	be	AUX
ejpam-4708	39	14	oscillatory	oscillatory	ADJ
ejpam-4708	39	15	if	if	SCONJ
ejpam-4708	39	16	it	it	PRON
ejpam-4708	39	17	has	have	VERB
ejpam-4708	39	18	arbitrarily	arbitrarily	ADV
ejpam-4708	39	19	large	large	ADJ
ejpam-4708	39	20	zeros	zero	NOUN
ejpam-4708	39	21	.	.	PUNCT
ejpam-4708	40	1	otherwise	otherwise	ADV
ejpam-4708	40	2	the	the	DET
ejpam-4708	40	3	solution	solution	NOUN
ejpam-4708	40	4	is	be	AUX
ejpam-4708	40	5	called	call	VERB
ejpam-4708	40	6	nonoscillatory	nonoscillatory	ADJ
ejpam-4708	40	7	.	.	PUNCT
ejpam-4708	41	1	2	2	NUM
ejpam-4708	41	2	.	.	X
ejpam-4708	41	3	main	main	ADJ
ejpam-4708	41	4	results	result	NOUN
ejpam-4708	41	5	theorem	theorem	VERB
ejpam-4708	41	6	1	1	NUM
ejpam-4708	41	7	.	.	X
ejpam-4708	41	8	assume	assume	VERB
ejpam-4708	41	9	that	that	SCONJ
ejpam-4708	41	10	(	(	PUNCT
ejpam-4708	41	11	3)-(5	3)-(5	NUM
ejpam-4708	41	12	)	)	PUNCT
ejpam-4708	41	13	hold	hold	NOUN
ejpam-4708	41	14	and	and	CCONJ
ejpam-4708	41	15	0	0	NUM
ejpam-4708	41	16	≤	≤	NUM
ejpam-4708	41	17	p(t	p(t	NOUN
ejpam-4708	41	18	)	)	PUNCT
ejpam-4708	41	19	≤	≤	NOUN
ejpam-4708	42	1	p	p	X
ejpam-4708	42	2	<	<	X
ejpam-4708	42	3	1	1	NUM
ejpam-4708	42	4	.	.	PUNCT
ejpam-4708	43	1	then	then	ADV
ejpam-4708	43	2	(	(	PUNCT
ejpam-4708	43	3	1	1	X
ejpam-4708	43	4	)	)	PUNCT
ejpam-4708	43	5	has	have	VERB
ejpam-4708	43	6	a	a	DET
ejpam-4708	43	7	bounded	bound	VERB
ejpam-4708	43	8	nonoscillatory	nonoscillatory	ADJ
ejpam-4708	43	9	solution	solution	NOUN
ejpam-4708	43	10	.	.	PUNCT
ejpam-4708	44	1	b.	b.	PROPN
ejpam-4708	44	2	çına	çına	PROPN
ejpam-4708	44	3	,	,	PUNCT
ejpam-4708	44	4	t.	t.	PROPN
ejpam-4708	44	5	candan	candan	PROPN
ejpam-4708	44	6	,	,	PUNCT
ejpam-4708	44	7	m.	m.	NOUN
ejpam-4708	44	8	tamer	tamer	AUX
ejpam-4708	44	9	şenel	şenel	PROPN
ejpam-4708	44	10	/	/	SYM
ejpam-4708	44	11	eur	eur	NOUN
ejpam-4708	44	12	.	.	PUNCT
ejpam-4708	45	1	j.	j.	PROPN
ejpam-4708	45	2	pure	pure	PROPN
ejpam-4708	45	3	appl	appl	PROPN
ejpam-4708	45	4	.	.	PROPN
ejpam-4708	45	5	math	math	PROPN
ejpam-4708	45	6	,	,	PUNCT
ejpam-4708	45	7	16	16	NUM
ejpam-4708	45	8	(	(	PUNCT
ejpam-4708	45	9	2	2	NUM
ejpam-4708	45	10	)	)	PUNCT
ejpam-4708	45	11	(	(	PUNCT
ejpam-4708	45	12	2023	2023	NUM
ejpam-4708	45	13	)	)	PUNCT
ejpam-4708	45	14	,	,	PUNCT
ejpam-4708	45	15	713	713	NUM
ejpam-4708	45	16	-	-	SYM
ejpam-4708	45	17	723	723	NUM
ejpam-4708	45	18	715	715	NUM
ejpam-4708	45	19	proof	proof	NOUN
ejpam-4708	45	20	.	.	PUNCT
ejpam-4708	46	1	suppose	suppose	VERB
ejpam-4708	46	2	(	(	PUNCT
ejpam-4708	46	3	4	4	X
ejpam-4708	46	4	)	)	PUNCT
ejpam-4708	46	5	holds	hold	VERB
ejpam-4708	46	6	with	with	ADP
ejpam-4708	46	7	d	d	PROPN
ejpam-4708	46	8	>	>	X
ejpam-4708	46	9	0	0	PROPN
ejpam-4708	46	10	,	,	PUNCT
ejpam-4708	46	11	the	the	DET
ejpam-4708	46	12	case	case	NOUN
ejpam-4708	46	13	d	d	X
ejpam-4708	46	14	<	<	X
ejpam-4708	46	15	0	0	NUM
ejpam-4708	46	16	can	can	AUX
ejpam-4708	46	17	be	be	AUX
ejpam-4708	46	18	treated	treat	VERB
ejpam-4708	46	19	similarly	similarly	ADV
ejpam-4708	46	20	.	.	PUNCT
ejpam-4708	47	1	let	let	VERB
ejpam-4708	47	2	x	x	PRON
ejpam-4708	47	3	be	be	AUX
ejpam-4708	47	4	the	the	DET
ejpam-4708	47	5	set	set	NOUN
ejpam-4708	47	6	of	of	ADP
ejpam-4708	47	7	all	all	DET
ejpam-4708	47	8	continuous	continuous	ADJ
ejpam-4708	47	9	and	and	CCONJ
ejpam-4708	47	10	bounded	bounded	ADJ
ejpam-4708	47	11	functions	function	NOUN
ejpam-4708	47	12	on	on	ADP
ejpam-4708	47	13	[	[	X
ejpam-4708	47	14	t0,∞	t0,∞	NUM
ejpam-4708	47	15	)	)	PUNCT
ejpam-4708	47	16	with	with	ADP
ejpam-4708	47	17	the	the	DET
ejpam-4708	47	18	∥x∥	∥x∥	NOUN
ejpam-4708	47	19	=	=	SYM
ejpam-4708	47	20	sup	sup	NOUN
ejpam-4708	47	21	t≥t0	t≥t0	PUNCT
ejpam-4708	47	22	|x(t)|	|x(t)|	ADP
ejpam-4708	47	23	<	<	X
ejpam-4708	47	24	∞	∞	NUM
ejpam-4708	47	25	norm	norm	NOUN
ejpam-4708	47	26	.	.	PUNCT
ejpam-4708	48	1	set	set	VERB
ejpam-4708	48	2	a	a	DET
ejpam-4708	48	3	=	=	X
ejpam-4708	48	4	{	{	PUNCT
ejpam-4708	48	5	x	x	SYM
ejpam-4708	48	6	∈	∈	PROPN
ejpam-4708	48	7	x	x	X
ejpam-4708	48	8	:	:	PUNCT
ejpam-4708	48	9	n1	n1	ADJ
ejpam-4708	48	10	≤	≤	NOUN
ejpam-4708	48	11	x(t	x(t	PROPN
ejpam-4708	48	12	)	)	PUNCT
ejpam-4708	48	13	≤	≤	NUM
ejpam-4708	49	1	d	d	X
ejpam-4708	49	2	,	,	PUNCT
ejpam-4708	49	3	t	t	PROPN
ejpam-4708	49	4	≥	≥	PROPN
ejpam-4708	49	5	t0	t0	PROPN
ejpam-4708	49	6	}	}	PUNCT
ejpam-4708	49	7	,	,	PUNCT
ejpam-4708	49	8	where	where	SCONJ
ejpam-4708	49	9	n1	n1	PROPN
ejpam-4708	49	10	is	be	AUX
ejpam-4708	49	11	a	a	DET
ejpam-4708	49	12	positive	positive	ADJ
ejpam-4708	49	13	constant	constant	ADJ
ejpam-4708	49	14	such	such	ADJ
ejpam-4708	49	15	that	that	SCONJ
ejpam-4708	49	16	n1	n1	NOUN
ejpam-4708	49	17	<	<	X
ejpam-4708	49	18	(	(	PUNCT
ejpam-4708	49	19	1−	1−	NUM
ejpam-4708	49	20	p)d	p)d	NOUN
ejpam-4708	49	21	.	.	PUNCT
ejpam-4708	50	1	clearly	clearly	ADV
ejpam-4708	50	2	,	,	PUNCT
ejpam-4708	50	3	a	a	PRON
ejpam-4708	50	4	is	be	AUX
ejpam-4708	50	5	a	a	DET
ejpam-4708	50	6	closed	closed	ADJ
ejpam-4708	50	7	,	,	PUNCT
ejpam-4708	50	8	bounded	bound	VERB
ejpam-4708	50	9	and	and	CCONJ
ejpam-4708	50	10	convex	convex	PROPN
ejpam-4708	50	11	subset	subset	NOUN
ejpam-4708	50	12	of	of	ADP
ejpam-4708	50	13	x.	x.	NOUN
ejpam-4708	50	14	by	by	ADP
ejpam-4708	50	15	(	(	PUNCT
ejpam-4708	50	16	3)-(5	3)-(5	NUM
ejpam-4708	50	17	)	)	PUNCT
ejpam-4708	50	18	there	there	PRON
ejpam-4708	50	19	exists	exist	VERB
ejpam-4708	50	20	a	a	DET
ejpam-4708	50	21	t1	t1	NOUN
ejpam-4708	50	22	>	>	X
ejpam-4708	50	23	t0	t0	PROPN
ejpam-4708	50	24	sufficiently	sufficiently	ADV
ejpam-4708	50	25	large	large	ADJ
ejpam-4708	50	26	such	such	ADJ
ejpam-4708	50	27	that	that	SCONJ
ejpam-4708	50	28	t−	t−	PROPN
ejpam-4708	50	29	τ	τ	PROPN
ejpam-4708	50	30	≥	≥	NUM
ejpam-4708	50	31	t0	t0	PROPN
ejpam-4708	50	32	,	,	PUNCT
ejpam-4708	50	33	σ1(t	σ1(t	X
ejpam-4708	50	34	)	)	PUNCT
ejpam-4708	50	35	≥	≥	NOUN
ejpam-4708	50	36	t0	t0	PROPN
ejpam-4708	50	37	,	,	PUNCT
ejpam-4708	50	38	σ2(t	σ2(t	PROPN
ejpam-4708	50	39	)	)	PUNCT
ejpam-4708	50	40	≥	≥	NOUN
ejpam-4708	50	41	t0	t0	PROPN
ejpam-4708	50	42	for	for	ADP
ejpam-4708	50	43	t	t	PROPN
ejpam-4708	50	44	≥	≥	NOUN
ejpam-4708	50	45	t1	t1	NOUN
ejpam-4708	50	46	and	and	CCONJ
ejpam-4708	50	47	p+	p+	PROPN
ejpam-4708	50	48	2	2	NUM
ejpam-4708	50	49	(	(	PUNCT
ejpam-4708	50	50	n−	n−	NOUN
ejpam-4708	50	51	2	2	NUM
ejpam-4708	50	52	)	)	PUNCT
ejpam-4708	50	53	!	!	PUNCT
ejpam-4708	51	1	∫	∫	PROPN
ejpam-4708	52	1	∞	∞	PROPN
ejpam-4708	52	2	t1	t1	PROPN
ejpam-4708	52	3	∫	∫	PROPN
ejpam-4708	52	4	s	s	PART
ejpam-4708	52	5	t1	t1	NOUN
ejpam-4708	52	6	(	(	PUNCT
ejpam-4708	52	7	s−	s−	PROPN
ejpam-4708	52	8	t)n−2	t)n−2	ADP
ejpam-4708	52	9	r(s	r(s	PROPN
ejpam-4708	52	10	)	)	PUNCT
ejpam-4708	52	11	qi(u)duds	qi(u)dud	NOUN
ejpam-4708	52	12	≤	≤	ADJ
ejpam-4708	52	13	θ1	θ1	NOUN
ejpam-4708	52	14	<	<	X
ejpam-4708	52	15	1	1	NUM
ejpam-4708	52	16	,	,	PUNCT
ejpam-4708	52	17	i	i	PRON
ejpam-4708	52	18	=	=	NOUN
ejpam-4708	52	19	1	1	NUM
ejpam-4708	52	20	,	,	PUNCT
ejpam-4708	52	21	2	2	NUM
ejpam-4708	52	22	,	,	PUNCT
ejpam-4708	52	23	(	(	PUNCT
ejpam-4708	52	24	8)	8)	NUM
ejpam-4708	52	25	where	where	SCONJ
ejpam-4708	52	26	θ1	θ1	NOUN
ejpam-4708	52	27	is	be	AUX
ejpam-4708	52	28	a	a	DET
ejpam-4708	52	29	constant	constant	ADJ
ejpam-4708	52	30	,	,	PUNCT
ejpam-4708	52	31	1	1	NUM
ejpam-4708	52	32	(	(	PUNCT
ejpam-4708	52	33	n−	n−	NOUN
ejpam-4708	52	34	2	2	NUM
ejpam-4708	52	35	)	)	PUNCT
ejpam-4708	52	36	!	!	PUNCT
ejpam-4708	53	1	∫	∫	PROPN
ejpam-4708	54	1	∞	∞	PROPN
ejpam-4708	54	2	t1	t1	PROPN
ejpam-4708	54	3	∫	∫	PROPN
ejpam-4708	54	4	s	s	PART
ejpam-4708	54	5	t1	t1	NOUN
ejpam-4708	54	6	(	(	PUNCT
ejpam-4708	54	7	s−	s−	PROPN
ejpam-4708	54	8	t)n−2	t)n−2	ADP
ejpam-4708	54	9	r(s	r(s	PROPN
ejpam-4708	54	10	)	)	PUNCT
ejpam-4708	55	1	[	[	X
ejpam-4708	55	2	f1(u	f1(u	X
ejpam-4708	55	3	,	,	PUNCT
ejpam-4708	55	4	d	d	NOUN
ejpam-4708	55	5	)	)	PUNCT
ejpam-4708	56	1	+	+	NUM
ejpam-4708	56	2	|g(u)|]duds	|g(u)|]dud	NOUN
ejpam-4708	56	3	≤	≤	NUM
ejpam-4708	56	4	(	(	PUNCT
ejpam-4708	56	5	1−	1−	NUM
ejpam-4708	56	6	p)d−	p)d−	NOUN
ejpam-4708	56	7	α	α	NOUN
ejpam-4708	56	8	,	,	PUNCT
ejpam-4708	56	9	(	(	PUNCT
ejpam-4708	56	10	9	9	NUM
ejpam-4708	56	11	)	)	SYM
ejpam-4708	56	12	1	1	NUM
ejpam-4708	56	13	(	(	PUNCT
ejpam-4708	56	14	n−	n−	NOUN
ejpam-4708	56	15	2	2	NUM
ejpam-4708	56	16	)	)	PUNCT
ejpam-4708	56	17	!	!	PUNCT
ejpam-4708	57	1	∫	∫	PROPN
ejpam-4708	58	1	∞	∞	PROPN
ejpam-4708	58	2	t1	t1	PROPN
ejpam-4708	58	3	∫	∫	PROPN
ejpam-4708	58	4	s	s	PART
ejpam-4708	58	5	t1	t1	NOUN
ejpam-4708	58	6	(	(	PUNCT
ejpam-4708	58	7	s−	s−	PROPN
ejpam-4708	58	8	t)n−2	t)n−2	ADP
ejpam-4708	58	9	r(s	r(s	PROPN
ejpam-4708	58	10	)	)	PUNCT
ejpam-4708	59	1	[	[	X
ejpam-4708	59	2	f2(u	f2(u	NOUN
ejpam-4708	59	3	,	,	PUNCT
ejpam-4708	59	4	d	d	NOUN
ejpam-4708	59	5	)	)	PUNCT
ejpam-4708	60	1	+	+	NUM
ejpam-4708	60	2	|g(u)|]duds	|g(u)|]dud	NOUN
ejpam-4708	60	3	≤	≤	NUM
ejpam-4708	60	4	α−n1	α−n1	VERB
ejpam-4708	60	5	,	,	PUNCT
ejpam-4708	60	6	(	(	PUNCT
ejpam-4708	60	7	10	10	NUM
ejpam-4708	60	8	)	)	PUNCT
ejpam-4708	60	9	where	where	SCONJ
ejpam-4708	60	10	α	α	NOUN
ejpam-4708	60	11	is	be	AUX
ejpam-4708	60	12	a	a	DET
ejpam-4708	60	13	positive	positive	ADJ
ejpam-4708	60	14	constant	constant	ADJ
ejpam-4708	60	15	such	such	ADJ
ejpam-4708	60	16	that	that	SCONJ
ejpam-4708	60	17	n1	n1	PROPN
ejpam-4708	60	18	<	<	X
ejpam-4708	60	19	α	α	X
ejpam-4708	60	20	<	<	X
ejpam-4708	60	21	(	(	PUNCT
ejpam-4708	60	22	1	1	NUM
ejpam-4708	60	23	−	−	PROPN
ejpam-4708	60	24	p)d	p)d	NOUN
ejpam-4708	60	25	.	.	PUNCT
ejpam-4708	61	1	define	define	VERB
ejpam-4708	61	2	the	the	DET
ejpam-4708	61	3	operator	operator	NOUN
ejpam-4708	61	4	s	s	VERB
ejpam-4708	61	5	on	on	ADP
ejpam-4708	61	6	a	a	DET
ejpam-4708	61	7	by	by	ADP
ejpam-4708	61	8	(	(	PUNCT
ejpam-4708	61	9	sx)(t	sx)(t	PROPN
ejpam-4708	61	10	)	)	PUNCT
ejpam-4708	61	11	=	=	SYM
ejpam-4708	62	1			PRON
ejpam-4708	62	2	α+	α+	PUNCT
ejpam-4708	62	3	p(t)x(t−	p(t)x(t−	X
ejpam-4708	62	4	τ	τ	X
ejpam-4708	62	5	)	)	PUNCT
ejpam-4708	63	1	+	+	CCONJ
ejpam-4708	63	2	1	1	NUM
ejpam-4708	63	3	(	(	PUNCT
ejpam-4708	63	4	n−2	n−2	PROPN
ejpam-4708	63	5	)	)	PUNCT
ejpam-4708	63	6	!	!	PUNCT
ejpam-4708	64	1	∫∞	∫∞	PROPN
ejpam-4708	64	2	t	t	PROPN
ejpam-4708	64	3	(	(	PUNCT
ejpam-4708	64	4	s−t)n−2	s−t)n−2	PROPN
ejpam-4708	64	5	r(s	r(s	PROPN
ejpam-4708	64	6	)	)	PUNCT
ejpam-4708	64	7	∫	∫	PROPN
ejpam-4708	64	8	s	s	PART
ejpam-4708	65	1	t1	t1	NOUN
ejpam-4708	65	2	[	[	X
ejpam-4708	65	3	f1(u	f1(u	ADJ
ejpam-4708	65	4	,	,	PUNCT
ejpam-4708	65	5	x(σ1(u	x(σ1(u	NOUN
ejpam-4708	65	6	)	)	PUNCT
ejpam-4708	65	7	)	)	PUNCT
ejpam-4708	65	8	)	)	PUNCT
ejpam-4708	66	1	−f2(u	−f2(u	NOUN
ejpam-4708	66	2	,	,	PUNCT
ejpam-4708	66	3	x(σ2(u)))−	x(σ2(u)))−	PROPN
ejpam-4708	67	1	g(u)]duds	g(u)]duds	PROPN
ejpam-4708	67	2	,	,	PUNCT
ejpam-4708	67	3	t	t	PROPN
ejpam-4708	67	4	≥	≥	PROPN
ejpam-4708	67	5	t1	t1	NOUN
ejpam-4708	67	6	(	(	PUNCT
ejpam-4708	67	7	sx)(t1	sx)(t1	PROPN
ejpam-4708	67	8	)	)	PUNCT
ejpam-4708	67	9	,	,	PUNCT
ejpam-4708	67	10	t0	t0	PROPN
ejpam-4708	67	11	≤	≤	PROPN
ejpam-4708	67	12	t	t	PROPN
ejpam-4708	67	13	≤	≤	NUM
ejpam-4708	67	14	t1	t1	PROPN
ejpam-4708	67	15	.	.	PUNCT
ejpam-4708	68	1	we	we	PRON
ejpam-4708	68	2	can	can	AUX
ejpam-4708	68	3	easily	easily	ADV
ejpam-4708	68	4	see	see	VERB
ejpam-4708	68	5	that	that	SCONJ
ejpam-4708	68	6	sx	sx	PROPN
ejpam-4708	68	7	is	be	AUX
ejpam-4708	68	8	continuous	continuous	ADJ
ejpam-4708	68	9	.	.	PUNCT
ejpam-4708	69	1	we	we	PRON
ejpam-4708	69	2	shall	shall	AUX
ejpam-4708	69	3	show	show	VERB
ejpam-4708	69	4	that	that	DET
ejpam-4708	69	5	sa	sa	PROPN
ejpam-4708	69	6	⊂	⊂	PROPN
ejpam-4708	69	7	a.	a.	NOUN
ejpam-4708	69	8	in	in	ADP
ejpam-4708	69	9	fact	fact	NOUN
ejpam-4708	69	10	,	,	PUNCT
ejpam-4708	69	11	for	for	ADP
ejpam-4708	69	12	every	every	DET
ejpam-4708	69	13	x	x	SYM
ejpam-4708	69	14	∈	∈	PROPN
ejpam-4708	69	15	a	a	PRON
ejpam-4708	69	16	and	and	CCONJ
ejpam-4708	69	17	t	t	PROPN
ejpam-4708	69	18	≥	≥	PROPN
ejpam-4708	69	19	t1	t1	PROPN
ejpam-4708	69	20	,	,	PUNCT
ejpam-4708	69	21	due	due	ADP
ejpam-4708	69	22	to	to	ADP
ejpam-4708	69	23	(	(	PUNCT
ejpam-4708	69	24	9	9	NUM
ejpam-4708	69	25	)	)	PUNCT
ejpam-4708	69	26	,	,	PUNCT
ejpam-4708	69	27	we	we	PRON
ejpam-4708	69	28	have	have	VERB
ejpam-4708	69	29	(	(	PUNCT
ejpam-4708	69	30	sx)(t	sx)(t	PROPN
ejpam-4708	69	31	)	)	PUNCT
ejpam-4708	69	32	=	=	PRON
ejpam-4708	69	33	α+	α+	PUNCT
ejpam-4708	69	34	p(t)x(t−	p(t)x(t−	X
ejpam-4708	69	35	τ	τ	X
ejpam-4708	69	36	)	)	PUNCT
ejpam-4708	70	1	+	+	CCONJ
ejpam-4708	70	2	1	1	NUM
ejpam-4708	70	3	(	(	PUNCT
ejpam-4708	70	4	n−	n−	NOUN
ejpam-4708	70	5	2	2	NUM
ejpam-4708	70	6	)	)	PUNCT
ejpam-4708	70	7	!	!	PUNCT
ejpam-4708	71	1	∫	∫	PROPN
ejpam-4708	72	1	∞	∞	PROPN
ejpam-4708	72	2	t	t	PROPN
ejpam-4708	72	3	(	(	PUNCT
ejpam-4708	72	4	s−	s−	PROPN
ejpam-4708	72	5	t)n−2	t)n−2	PRON
ejpam-4708	72	6	r(s	r(s	PROPN
ejpam-4708	72	7	)	)	PUNCT
ejpam-4708	72	8	∫	∫	PROPN
ejpam-4708	72	9	s	s	PART
ejpam-4708	72	10	t1	t1	NOUN
ejpam-4708	73	1	[	[	X
ejpam-4708	73	2	f1(u	f1(u	ADJ
ejpam-4708	73	3	,	,	PUNCT
ejpam-4708	73	4	x(σ1(u	x(σ1(u	NOUN
ejpam-4708	73	5	)	)	PUNCT
ejpam-4708	73	6	)	)	PUNCT
ejpam-4708	73	7	)	)	PUNCT
ejpam-4708	74	1	−	−	PROPN
ejpam-4708	74	2	f2(u	f2(u	PROPN
ejpam-4708	74	3	,	,	PUNCT
ejpam-4708	74	4	x(σ2(u)))−	x(σ2(u)))−	PROPN
ejpam-4708	75	1	g(u)]duds	g(u)]duds	PROPN
ejpam-4708	75	2	≤	≤	ADV
ejpam-4708	75	3	α+	α+	DET
ejpam-4708	75	4	pd+	pd+	NOUN
ejpam-4708	75	5	1	1	NUM
ejpam-4708	75	6	(	(	PUNCT
ejpam-4708	75	7	n−	n−	NOUN
ejpam-4708	75	8	2	2	NUM
ejpam-4708	75	9	)	)	PUNCT
ejpam-4708	75	10	!	!	PUNCT
ejpam-4708	76	1	∫	∫	PROPN
ejpam-4708	77	1	∞	∞	PROPN
ejpam-4708	77	2	t1	t1	PROPN
ejpam-4708	77	3	∫	∫	PROPN
ejpam-4708	77	4	s	s	PART
ejpam-4708	77	5	t1	t1	NOUN
ejpam-4708	77	6	(	(	PUNCT
ejpam-4708	77	7	s−	s−	PROPN
ejpam-4708	77	8	t)n−2	t)n−2	ADP
ejpam-4708	77	9	r(s	r(s	PROPN
ejpam-4708	77	10	)	)	PUNCT
ejpam-4708	78	1	[	[	X
ejpam-4708	78	2	f1(u	f1(u	X
ejpam-4708	78	3	,	,	PUNCT
ejpam-4708	78	4	d	d	NOUN
ejpam-4708	78	5	)	)	PUNCT
ejpam-4708	79	1	+	+	NUM
ejpam-4708	79	2	|g(u)|]duds	|g(u)|]dud	NOUN
ejpam-4708	79	3	≤	≤	X
ejpam-4708	79	4	d.	d.	PROPN
ejpam-4708	79	5	furthermore	furthermore	ADV
ejpam-4708	79	6	,	,	PUNCT
ejpam-4708	79	7	by	by	ADP
ejpam-4708	79	8	using	use	VERB
ejpam-4708	79	9	(	(	PUNCT
ejpam-4708	79	10	10	10	NUM
ejpam-4708	79	11	)	)	PUNCT
ejpam-4708	79	12	,	,	PUNCT
ejpam-4708	79	13	we	we	PRON
ejpam-4708	79	14	obtain	obtain	VERB
ejpam-4708	79	15	(	(	PUNCT
ejpam-4708	79	16	sx)(t	sx)(t	PROPN
ejpam-4708	79	17	)	)	PUNCT
ejpam-4708	79	18	=	=	PRON
ejpam-4708	79	19	α+	α+	PUNCT
ejpam-4708	79	20	p(t)x(t−	p(t)x(t−	X
ejpam-4708	79	21	τ	τ	X
ejpam-4708	79	22	)	)	PUNCT
ejpam-4708	80	1	+	+	CCONJ
ejpam-4708	80	2	1	1	NUM
ejpam-4708	80	3	(	(	PUNCT
ejpam-4708	80	4	n−	n−	NOUN
ejpam-4708	80	5	2	2	NUM
ejpam-4708	80	6	)	)	PUNCT
ejpam-4708	80	7	!	!	PUNCT
ejpam-4708	81	1	∫	∫	PROPN
ejpam-4708	82	1	∞	∞	PROPN
ejpam-4708	82	2	t	t	PROPN
ejpam-4708	82	3	(	(	PUNCT
ejpam-4708	82	4	s−	s−	PROPN
ejpam-4708	82	5	t)n−2	t)n−2	PRON
ejpam-4708	82	6	r(s	r(s	PROPN
ejpam-4708	82	7	)	)	PUNCT
ejpam-4708	82	8	∫	∫	PROPN
ejpam-4708	82	9	s	s	PART
ejpam-4708	82	10	t1	t1	NOUN
ejpam-4708	83	1	[	[	X
ejpam-4708	83	2	f1(u	f1(u	ADJ
ejpam-4708	83	3	,	,	PUNCT
ejpam-4708	83	4	x(σ1(u	x(σ1(u	NOUN
ejpam-4708	83	5	)	)	PUNCT
ejpam-4708	83	6	)	)	PUNCT
ejpam-4708	83	7	)	)	PUNCT
ejpam-4708	84	1	−	−	PROPN
ejpam-4708	84	2	f2(u	f2(u	PROPN
ejpam-4708	84	3	,	,	PUNCT
ejpam-4708	84	4	x(σ2(u)))−	x(σ2(u)))−	PROPN
ejpam-4708	85	1	g(u)]duds	g(u)]duds	PROPN
ejpam-4708	85	2	≥	≥	VERB
ejpam-4708	85	3	α−	α−	ADP
ejpam-4708	85	4	1	1	NUM
ejpam-4708	85	5	(	(	PUNCT
ejpam-4708	85	6	n−	n−	NOUN
ejpam-4708	85	7	2	2	NUM
ejpam-4708	85	8	)	)	PUNCT
ejpam-4708	85	9	!	!	PUNCT
ejpam-4708	86	1	∫	∫	PROPN
ejpam-4708	87	1	∞	∞	PROPN
ejpam-4708	87	2	t1	t1	PROPN
ejpam-4708	87	3	∫	∫	PROPN
ejpam-4708	87	4	s	s	PART
ejpam-4708	87	5	t1	t1	NOUN
ejpam-4708	87	6	(	(	PUNCT
ejpam-4708	87	7	s−	s−	PROPN
ejpam-4708	87	8	t)n−2	t)n−2	ADP
ejpam-4708	87	9	r(s	r(s	PROPN
ejpam-4708	87	10	)	)	PUNCT
ejpam-4708	88	1	[	[	X
ejpam-4708	88	2	f2(u	f2(u	NOUN
ejpam-4708	88	3	,	,	PUNCT
ejpam-4708	88	4	d	d	NOUN
ejpam-4708	88	5	)	)	PUNCT
ejpam-4708	88	6	+	+	NUM
ejpam-4708	88	7	|g(u)|]duds	|g(u)|]duds	PROPN
ejpam-4708	88	8	b.	b.	PROPN
ejpam-4708	88	9	çına	çına	PROPN
ejpam-4708	88	10	,	,	PUNCT
ejpam-4708	88	11	t.	t.	PROPN
ejpam-4708	88	12	candan	candan	PROPN
ejpam-4708	88	13	,	,	PUNCT
ejpam-4708	88	14	m.	m.	NOUN
ejpam-4708	88	15	tamer	tamer	AUX
ejpam-4708	88	16	şenel	şenel	PROPN
ejpam-4708	88	17	/	/	SYM
ejpam-4708	88	18	eur	eur	NOUN
ejpam-4708	88	19	.	.	PUNCT
ejpam-4708	89	1	j.	j.	PROPN
ejpam-4708	89	2	pure	pure	PROPN
ejpam-4708	89	3	appl	appl	PROPN
ejpam-4708	89	4	.	.	PROPN
ejpam-4708	89	5	math	math	PROPN
ejpam-4708	89	6	,	,	PUNCT
ejpam-4708	89	7	16	16	NUM
ejpam-4708	89	8	(	(	PUNCT
ejpam-4708	89	9	2	2	NUM
ejpam-4708	89	10	)	)	PUNCT
ejpam-4708	89	11	(	(	PUNCT
ejpam-4708	89	12	2023	2023	NUM
ejpam-4708	89	13	)	)	PUNCT
ejpam-4708	89	14	,	,	PUNCT
ejpam-4708	89	15	713	713	NUM
ejpam-4708	89	16	-	-	SYM
ejpam-4708	89	17	723	723	NUM
ejpam-4708	89	18	716	716	NUM
ejpam-4708	89	19	≥	≥	NOUN
ejpam-4708	89	20	n1	n1	NOUN
ejpam-4708	89	21	.	.	PUNCT
ejpam-4708	90	1	thus	thus	ADV
ejpam-4708	90	2	,	,	PUNCT
ejpam-4708	90	3	we	we	PRON
ejpam-4708	90	4	proved	prove	VERB
ejpam-4708	90	5	that	that	SCONJ
ejpam-4708	90	6	sa	sa	PROPN
ejpam-4708	90	7	⊂	⊂	PROPN
ejpam-4708	90	8	a.	a.	NOUN
ejpam-4708	91	1	now	now	ADV
ejpam-4708	91	2	we	we	PRON
ejpam-4708	91	3	shall	shall	AUX
ejpam-4708	91	4	show	show	VERB
ejpam-4708	91	5	that	that	DET
ejpam-4708	91	6	operator	operator	NOUN
ejpam-4708	91	7	s	s	PART
ejpam-4708	91	8	is	be	AUX
ejpam-4708	91	9	a	a	DET
ejpam-4708	91	10	contraction	contraction	NOUN
ejpam-4708	91	11	operator	operator	NOUN
ejpam-4708	91	12	on	on	ADP
ejpam-4708	91	13	a.	a.	NOUN
ejpam-4708	91	14	in	in	ADP
ejpam-4708	91	15	fact	fact	NOUN
ejpam-4708	91	16	,	,	PUNCT
ejpam-4708	91	17	for	for	ADP
ejpam-4708	91	18	x	x	X
ejpam-4708	91	19	,	,	PUNCT
ejpam-4708	91	20	y	y	PROPN
ejpam-4708	91	21	∈	∈	PROPN
ejpam-4708	91	22	a	a	PRON
ejpam-4708	91	23	and	and	CCONJ
ejpam-4708	91	24	t	t	PROPN
ejpam-4708	91	25	≥	≥	NOUN
ejpam-4708	91	26	t1	t1	NOUN
ejpam-4708	91	27	,	,	PUNCT
ejpam-4708	91	28	in	in	ADP
ejpam-4708	91	29	view	view	NOUN
ejpam-4708	91	30	of	of	ADP
ejpam-4708	91	31	(	(	PUNCT
ejpam-4708	91	32	2	2	NUM
ejpam-4708	91	33	)	)	PUNCT
ejpam-4708	91	34	and	and	CCONJ
ejpam-4708	91	35	(	(	PUNCT
ejpam-4708	91	36	8)	8)	NUM
ejpam-4708	91	37	,	,	PUNCT
ejpam-4708	91	38	we	we	PRON
ejpam-4708	91	39	have	have	VERB
ejpam-4708	91	40	|(sx)(t)−	|(sx)(t)−	PROPN
ejpam-4708	91	41	(	(	PUNCT
ejpam-4708	91	42	sy)(t)|	sy)(t)|	PROPN
ejpam-4708	91	43	≤	≤	NUM
ejpam-4708	92	1	p|x(t−	p|x(t−	NOUN
ejpam-4708	93	1	τ)−	τ)−	PROPN
ejpam-4708	93	2	y(t−	y(t−	PROPN
ejpam-4708	93	3	τ)|	τ)|	NOUN
ejpam-4708	94	1	+	+	CCONJ
ejpam-4708	94	2	1	1	X
ejpam-4708	94	3	(	(	PUNCT
ejpam-4708	94	4	n−	n−	NOUN
ejpam-4708	94	5	2	2	NUM
ejpam-4708	94	6	)	)	PUNCT
ejpam-4708	94	7	!	!	PUNCT
ejpam-4708	95	1	2∑	2∑	NOUN
ejpam-4708	96	1	i=1	i=1	X
ejpam-4708	96	2	∫	∫	PROPN
ejpam-4708	97	1	∞	∞	PROPN
ejpam-4708	97	2	t	t	PROPN
ejpam-4708	97	3	(	(	PUNCT
ejpam-4708	97	4	s−	s−	PROPN
ejpam-4708	97	5	t)n−2	t)n−2	PRON
ejpam-4708	97	6	r(s	r(s	PROPN
ejpam-4708	97	7	)	)	PUNCT
ejpam-4708	97	8	∫	∫	PROPN
ejpam-4708	97	9	s	s	PART
ejpam-4708	97	10	t1	t1	NOUN
ejpam-4708	97	11	|fi(u	|fi(u	PROPN
ejpam-4708	97	12	,	,	PUNCT
ejpam-4708	97	13	x(σi(u)))−	x(σi(u)))−	PROPN
ejpam-4708	97	14	fi(u	fi(u	NOUN
ejpam-4708	97	15	,	,	PUNCT
ejpam-4708	97	16	y(σi(u)))|duds	y(σi(u)))|duds	PROPN
ejpam-4708	97	17	≤	≤	PROPN
ejpam-4708	98	1	p|x(t−	p|x(t−	PROPN
ejpam-4708	99	1	τ)−	τ)−	PROPN
ejpam-4708	99	2	y(t−	y(t−	PROPN
ejpam-4708	99	3	τ)|	τ)|	NOUN
ejpam-4708	100	1	+	+	CCONJ
ejpam-4708	100	2	1	1	X
ejpam-4708	100	3	(	(	PUNCT
ejpam-4708	100	4	n−	n−	NOUN
ejpam-4708	100	5	2	2	NUM
ejpam-4708	100	6	)	)	PUNCT
ejpam-4708	100	7	!	!	PUNCT
ejpam-4708	101	1	2∑	2∑	NOUN
ejpam-4708	102	1	i=1	i=1	NUM
ejpam-4708	102	2	∫	∫	PROPN
ejpam-4708	103	1	∞	∞	PROPN
ejpam-4708	103	2	t1	t1	NOUN
ejpam-4708	103	3	(	(	PUNCT
ejpam-4708	103	4	s−	s−	PROPN
ejpam-4708	103	5	t)n−2	t)n−2	ADP
ejpam-4708	103	6	r(s	r(s	PROPN
ejpam-4708	103	7	)	)	PUNCT
ejpam-4708	103	8	∫	∫	PROPN
ejpam-4708	103	9	s	s	PART
ejpam-4708	103	10	t1	t1	NOUN
ejpam-4708	103	11	qi(u)|x(σi(u))−	qi(u)|x(σi(u))−	NOUN
ejpam-4708	103	12	y(σi(u)))|duds	y(σi(u)))|duds	ADV
ejpam-4708	103	13	≤	≤	NOUN
ejpam-4708	104	1	∥x−	∥x−	PROPN
ejpam-4708	104	2	y∥	y∥	NOUN
ejpam-4708	104	3	[	[	PUNCT
ejpam-4708	104	4	p+	p+	NOUN
ejpam-4708	104	5	1	1	NUM
ejpam-4708	104	6	(	(	PUNCT
ejpam-4708	104	7	n−	n−	NOUN
ejpam-4708	104	8	2	2	NUM
ejpam-4708	104	9	)	)	PUNCT
ejpam-4708	104	10	!	!	PUNCT
ejpam-4708	105	1	2∑	2∑	NOUN
ejpam-4708	106	1	i=1	i=1	X
ejpam-4708	106	2	∫	∫	PROPN
ejpam-4708	107	1	∞	∞	PROPN
ejpam-4708	107	2	t1	t1	PROPN
ejpam-4708	107	3	∫	∫	PROPN
ejpam-4708	107	4	s	s	PART
ejpam-4708	107	5	t1	t1	NOUN
ejpam-4708	107	6	(	(	PUNCT
ejpam-4708	107	7	s−	s−	PROPN
ejpam-4708	107	8	t)n−2	t)n−2	ADP
ejpam-4708	107	9	r(s	r(	NOUN
ejpam-4708	107	10	)	)	PUNCT
ejpam-4708	107	11	qi(u)duds	qi(u)dud	NOUN
ejpam-4708	107	12	]	]	PUNCT
ejpam-4708	107	13	≤	≤	NUM
ejpam-4708	107	14	θ1∥x−	θ1∥x−	ADV
ejpam-4708	107	15	y∥.	y∥.	VERB
ejpam-4708	107	16	this	this	PRON
ejpam-4708	107	17	implies	imply	VERB
ejpam-4708	107	18	that	that	SCONJ
ejpam-4708	107	19	∥sx−	∥sx−	PROPN
ejpam-4708	107	20	sy∥	sy∥	PROPN
ejpam-4708	107	21	≤	≤	PUNCT
ejpam-4708	107	22	θ1∥x−	θ1∥x−	ADV
ejpam-4708	107	23	y∥.	y∥.	PROPN
ejpam-4708	107	24	since	since	SCONJ
ejpam-4708	107	25	θ1	θ1	NOUN
ejpam-4708	107	26	<	<	X
ejpam-4708	107	27	1	1	NUM
ejpam-4708	107	28	by	by	ADP
ejpam-4708	107	29	(	(	PUNCT
ejpam-4708	107	30	8)	8)	NUM
ejpam-4708	107	31	,	,	PUNCT
ejpam-4708	107	32	it	it	PRON
ejpam-4708	107	33	follow	follow	VERB
ejpam-4708	107	34	that	that	SCONJ
ejpam-4708	107	35	s	s	VERB
ejpam-4708	107	36	is	be	AUX
ejpam-4708	107	37	a	a	DET
ejpam-4708	107	38	contraction	contraction	NOUN
ejpam-4708	107	39	mapping	mapping	NOUN
ejpam-4708	107	40	on	on	ADP
ejpam-4708	107	41	a.	a.	NOUN
ejpam-4708	107	42	by	by	ADP
ejpam-4708	107	43	the	the	DET
ejpam-4708	107	44	banach	banach	NOUN
ejpam-4708	107	45	contraction	contraction	NOUN
ejpam-4708	107	46	mapping	mapping	NOUN
ejpam-4708	107	47	principle	principle	NOUN
ejpam-4708	107	48	,	,	PUNCT
ejpam-4708	107	49	s	s	AUX
ejpam-4708	107	50	has	have	VERB
ejpam-4708	107	51	a	a	DET
ejpam-4708	107	52	fixed	fix	VERB
ejpam-4708	107	53	point	point	NOUN
ejpam-4708	107	54	x	x	X
ejpam-4708	107	55	∈	∈	PROPN
ejpam-4708	107	56	a	a	PRON
ejpam-4708	107	57	,	,	PUNCT
ejpam-4708	107	58	which	which	PRON
ejpam-4708	107	59	is	be	AUX
ejpam-4708	107	60	obviously	obviously	ADV
ejpam-4708	107	61	a	a	DET
ejpam-4708	107	62	positive	positive	ADJ
ejpam-4708	107	63	solution	solution	NOUN
ejpam-4708	107	64	of	of	ADP
ejpam-4708	107	65	(	(	PUNCT
ejpam-4708	107	66	1	1	NUM
ejpam-4708	107	67	)	)	PUNCT
ejpam-4708	107	68	.	.	PUNCT
ejpam-4708	108	1	this	this	PRON
ejpam-4708	108	2	completes	complete	VERB
ejpam-4708	108	3	the	the	DET
ejpam-4708	108	4	proof	proof	NOUN
ejpam-4708	108	5	.	.	PUNCT
ejpam-4708	109	1	theorem	theorem	NOUN
ejpam-4708	109	2	2	2	NUM
ejpam-4708	110	1	.	.	X
ejpam-4708	110	2	assume	assume	VERB
ejpam-4708	110	3	that	that	SCONJ
ejpam-4708	110	4	(	(	PUNCT
ejpam-4708	110	5	3)-(5	3)-(5	NUM
ejpam-4708	110	6	)	)	PUNCT
ejpam-4708	110	7	hold	hold	NOUN
ejpam-4708	110	8	and	and	CCONJ
ejpam-4708	110	9	1	1	NUM
ejpam-4708	110	10	<	<	X
ejpam-4708	110	11	p1	p1	PROPN
ejpam-4708	110	12	≤	≤	NOUN
ejpam-4708	110	13	p(t	p(t	NOUN
ejpam-4708	110	14	)	)	PUNCT
ejpam-4708	110	15	≤	≤	NUM
ejpam-4708	110	16	p2	p2	NOUN
ejpam-4708	110	17	<	<	X
ejpam-4708	110	18	∞.	∞.	PROPN
ejpam-4708	110	19	then	then	ADV
ejpam-4708	110	20	(	(	PUNCT
ejpam-4708	110	21	1	1	X
ejpam-4708	110	22	)	)	PUNCT
ejpam-4708	110	23	has	have	VERB
ejpam-4708	110	24	a	a	DET
ejpam-4708	110	25	bounded	bound	VERB
ejpam-4708	110	26	nonoscillatory	nonoscillatory	ADJ
ejpam-4708	110	27	solution	solution	NOUN
ejpam-4708	110	28	.	.	PUNCT
ejpam-4708	111	1	proof	proof	NOUN
ejpam-4708	111	2	.	.	PUNCT
ejpam-4708	112	1	suppose	suppose	VERB
ejpam-4708	112	2	(	(	PUNCT
ejpam-4708	112	3	4	4	X
ejpam-4708	112	4	)	)	PUNCT
ejpam-4708	112	5	holds	hold	VERB
ejpam-4708	112	6	with	with	ADP
ejpam-4708	112	7	d	d	PROPN
ejpam-4708	112	8	>	>	X
ejpam-4708	112	9	0	0	PROPN
ejpam-4708	112	10	,	,	PUNCT
ejpam-4708	112	11	the	the	DET
ejpam-4708	112	12	case	case	NOUN
ejpam-4708	112	13	d	d	X
ejpam-4708	112	14	<	<	X
ejpam-4708	112	15	0	0	NUM
ejpam-4708	112	16	can	can	AUX
ejpam-4708	112	17	be	be	AUX
ejpam-4708	112	18	treated	treat	VERB
ejpam-4708	112	19	similarly	similarly	ADV
ejpam-4708	112	20	.	.	PUNCT
ejpam-4708	113	1	let	let	VERB
ejpam-4708	113	2	x	x	PRON
ejpam-4708	113	3	be	be	AUX
ejpam-4708	113	4	the	the	DET
ejpam-4708	113	5	set	set	NOUN
ejpam-4708	113	6	as	as	ADP
ejpam-4708	113	7	in	in	ADP
ejpam-4708	113	8	the	the	DET
ejpam-4708	113	9	proof	proof	NOUN
ejpam-4708	113	10	of	of	ADP
ejpam-4708	113	11	theorem	theorem	NOUN
ejpam-4708	113	12	1	1	NUM
ejpam-4708	113	13	.	.	PUNCT
ejpam-4708	113	14	set	set	VERB
ejpam-4708	113	15	a	a	DET
ejpam-4708	113	16	=	=	X
ejpam-4708	113	17	{	{	PUNCT
ejpam-4708	113	18	x	x	SYM
ejpam-4708	113	19	∈	∈	NOUN
ejpam-4708	113	20	x	x	X
ejpam-4708	113	21	:	:	PUNCT
ejpam-4708	113	22	n2	n2	ADJ
ejpam-4708	113	23	≤	≤	NUM
ejpam-4708	113	24	x(t	x(t	PROPN
ejpam-4708	113	25	)	)	PUNCT
ejpam-4708	113	26	≤	≤	NOUN
ejpam-4708	114	1	d	d	X
ejpam-4708	114	2	,	,	PUNCT
ejpam-4708	114	3	t	t	PROPN
ejpam-4708	114	4	≥	≥	PROPN
ejpam-4708	114	5	t0	t0	PROPN
ejpam-4708	114	6	}	}	PUNCT
ejpam-4708	114	7	,	,	PUNCT
ejpam-4708	114	8	where	where	SCONJ
ejpam-4708	114	9	n2	n2	NOUN
ejpam-4708	114	10	is	be	AUX
ejpam-4708	114	11	a	a	DET
ejpam-4708	114	12	positive	positive	ADJ
ejpam-4708	114	13	constant	constant	ADJ
ejpam-4708	114	14	such	such	ADJ
ejpam-4708	114	15	that	that	DET
ejpam-4708	114	16	p2n2	p2n2	NOUN
ejpam-4708	114	17	<	<	X
ejpam-4708	114	18	(	(	PUNCT
ejpam-4708	114	19	p1	p1	PROPN
ejpam-4708	114	20	−	−	PROPN
ejpam-4708	114	21	1)d	1)d	NUM
ejpam-4708	114	22	.	.	PUNCT
ejpam-4708	115	1	it	it	PRON
ejpam-4708	115	2	is	be	AUX
ejpam-4708	115	3	clear	clear	ADJ
ejpam-4708	115	4	that	that	SCONJ
ejpam-4708	115	5	a	a	PRON
ejpam-4708	115	6	is	be	AUX
ejpam-4708	115	7	a	a	DET
ejpam-4708	115	8	closed	closed	ADJ
ejpam-4708	115	9	,	,	PUNCT
ejpam-4708	115	10	bounded	bound	VERB
ejpam-4708	115	11	and	and	CCONJ
ejpam-4708	115	12	convex	convex	PROPN
ejpam-4708	115	13	subset	subset	NOUN
ejpam-4708	115	14	of	of	ADP
ejpam-4708	115	15	x.	x.	NOUN
ejpam-4708	115	16	by	by	ADP
ejpam-4708	115	17	(	(	PUNCT
ejpam-4708	115	18	3)-(5	3)-(5	NUM
ejpam-4708	115	19	)	)	PUNCT
ejpam-4708	115	20	,	,	PUNCT
ejpam-4708	115	21	we	we	PRON
ejpam-4708	115	22	can	can	AUX
ejpam-4708	115	23	choose	choose	VERB
ejpam-4708	115	24	a	a	DET
ejpam-4708	115	25	t1	t1	NOUN
ejpam-4708	115	26	>	>	X
ejpam-4708	115	27	t0	t0	PROPN
ejpam-4708	115	28	sufficiently	sufficiently	ADV
ejpam-4708	115	29	large	large	ADJ
ejpam-4708	115	30	such	such	ADJ
ejpam-4708	115	31	that	that	PRON
ejpam-4708	115	32	σ1(t+	σ1(t+	PROPN
ejpam-4708	115	33	τ	τ	PROPN
ejpam-4708	115	34	)	)	PUNCT
ejpam-4708	115	35	≥	≥	NOUN
ejpam-4708	115	36	t0	t0	NOUN
ejpam-4708	115	37	,	,	PUNCT
ejpam-4708	115	38	σ2(t+	σ2(t+	PROPN
ejpam-4708	115	39	τ	τ	PROPN
ejpam-4708	115	40	)	)	PUNCT
ejpam-4708	115	41	≥	≥	NUM
ejpam-4708	115	42	t0	t0	PROPN
ejpam-4708	115	43	for	for	ADP
ejpam-4708	115	44	t	t	PROPN
ejpam-4708	115	45	≥	≥	NOUN
ejpam-4708	115	46	t1	t1	NOUN
ejpam-4708	115	47	and	and	CCONJ
ejpam-4708	115	48	1	1	NUM
ejpam-4708	115	49	p1	p1	NOUN
ejpam-4708	115	50	[	[	PUNCT
ejpam-4708	115	51	1	1	NUM
ejpam-4708	115	52	+	+	NUM
ejpam-4708	115	53	2	2	NUM
ejpam-4708	115	54	(	(	PUNCT
ejpam-4708	115	55	n−	n−	NOUN
ejpam-4708	115	56	2	2	NUM
ejpam-4708	115	57	)	)	PUNCT
ejpam-4708	115	58	!	!	PUNCT
ejpam-4708	116	1	∫	∫	PROPN
ejpam-4708	117	1	∞	∞	PROPN
ejpam-4708	117	2	t1	t1	PROPN
ejpam-4708	117	3	∫	∫	PROPN
ejpam-4708	117	4	s	s	PART
ejpam-4708	117	5	t1	t1	NOUN
ejpam-4708	117	6	(	(	PUNCT
ejpam-4708	117	7	s−	s−	PROPN
ejpam-4708	117	8	t)n−2	t)n−2	ADP
ejpam-4708	117	9	r(s	r(	NOUN
ejpam-4708	117	10	)	)	PUNCT
ejpam-4708	117	11	qi(u)duds	qi(u)dud	NOUN
ejpam-4708	117	12	]	]	PUNCT
ejpam-4708	117	13	≤	≤	PROPN
ejpam-4708	117	14	θ2	θ2	ADP
ejpam-4708	117	15	<	<	X
ejpam-4708	117	16	1	1	NUM
ejpam-4708	117	17	,	,	PUNCT
ejpam-4708	117	18	i	i	PRON
ejpam-4708	117	19	=	=	NOUN
ejpam-4708	117	20	1	1	NUM
ejpam-4708	117	21	,	,	PUNCT
ejpam-4708	117	22	2	2	NUM
ejpam-4708	117	23	,	,	PUNCT
ejpam-4708	117	24	(	(	PUNCT
ejpam-4708	117	25	11	11	NUM
ejpam-4708	117	26	)	)	PUNCT
ejpam-4708	117	27	where	where	SCONJ
ejpam-4708	117	28	θ2	θ2	PROPN
ejpam-4708	117	29	is	be	AUX
ejpam-4708	117	30	a	a	DET
ejpam-4708	117	31	constant	constant	ADJ
ejpam-4708	117	32	,	,	PUNCT
ejpam-4708	117	33	1	1	NUM
ejpam-4708	117	34	(	(	PUNCT
ejpam-4708	117	35	n−	n−	NOUN
ejpam-4708	117	36	2	2	NUM
ejpam-4708	117	37	)	)	PUNCT
ejpam-4708	117	38	!	!	PUNCT
ejpam-4708	118	1	∫	∫	PROPN
ejpam-4708	119	1	∞	∞	PROPN
ejpam-4708	119	2	t1	t1	PROPN
ejpam-4708	119	3	∫	∫	PROPN
ejpam-4708	119	4	s	s	PART
ejpam-4708	119	5	t1	t1	NOUN
ejpam-4708	119	6	(	(	PUNCT
ejpam-4708	119	7	s−	s−	PROPN
ejpam-4708	119	8	t)n−2	t)n−2	ADP
ejpam-4708	119	9	r(s	r(s	PROPN
ejpam-4708	119	10	)	)	PUNCT
ejpam-4708	120	1	[	[	X
ejpam-4708	120	2	f1(u	f1(u	X
ejpam-4708	120	3	,	,	PUNCT
ejpam-4708	120	4	d	d	NOUN
ejpam-4708	120	5	)	)	PUNCT
ejpam-4708	121	1	+	+	NUM
ejpam-4708	121	2	|g(u)|]duds	|g(u)|]dud	NOUN
ejpam-4708	121	3	≤	≤	NOUN
ejpam-4708	121	4	α−	α−	ADP
ejpam-4708	121	5	p2n2	p2n2	NOUN
ejpam-4708	121	6	,	,	PUNCT
ejpam-4708	121	7	(	(	PUNCT
ejpam-4708	121	8	12	12	NUM
ejpam-4708	121	9	)	)	SYM
ejpam-4708	121	10	1	1	NUM
ejpam-4708	121	11	(	(	PUNCT
ejpam-4708	121	12	n−	n−	NOUN
ejpam-4708	121	13	2	2	NUM
ejpam-4708	121	14	)	)	PUNCT
ejpam-4708	121	15	!	!	PUNCT
ejpam-4708	122	1	∫	∫	PROPN
ejpam-4708	123	1	∞	∞	PROPN
ejpam-4708	123	2	t1	t1	PROPN
ejpam-4708	123	3	∫	∫	PROPN
ejpam-4708	123	4	s	s	PART
ejpam-4708	123	5	t1	t1	NOUN
ejpam-4708	123	6	(	(	PUNCT
ejpam-4708	123	7	s−	s−	PROPN
ejpam-4708	123	8	t)n−2	t)n−2	ADP
ejpam-4708	123	9	r(s	r(s	PROPN
ejpam-4708	123	10	)	)	PUNCT
ejpam-4708	124	1	[	[	X
ejpam-4708	124	2	f2(u	f2(u	NOUN
ejpam-4708	124	3	,	,	PUNCT
ejpam-4708	124	4	d	d	NOUN
ejpam-4708	124	5	)	)	PUNCT
ejpam-4708	124	6	+	+	NUM
ejpam-4708	124	7	|g(u)|]duds	|g(u)|]dud	NOUN
ejpam-4708	124	8	≤	≤	NUM
ejpam-4708	124	9	(	(	PUNCT
ejpam-4708	124	10	p1	p1	NOUN
ejpam-4708	124	11	−	−	PROPN
ejpam-4708	124	12	1)d−	1)d−	NUM
ejpam-4708	124	13	α	α	PROPN
ejpam-4708	124	14	,	,	PUNCT
ejpam-4708	124	15	(	(	PUNCT
ejpam-4708	124	16	13	13	NUM
ejpam-4708	124	17	)	)	PUNCT
ejpam-4708	124	18	b.	b.	PROPN
ejpam-4708	124	19	çına	çına	PROPN
ejpam-4708	124	20	,	,	PUNCT
ejpam-4708	124	21	t.	t.	PROPN
ejpam-4708	124	22	candan	candan	PROPN
ejpam-4708	124	23	,	,	PUNCT
ejpam-4708	124	24	m.	m.	NOUN
ejpam-4708	124	25	tamer	tamer	AUX
ejpam-4708	124	26	şenel	şenel	PROPN
ejpam-4708	124	27	/	/	SYM
ejpam-4708	124	28	eur	eur	NOUN
ejpam-4708	124	29	.	.	PUNCT
ejpam-4708	125	1	j.	j.	PROPN
ejpam-4708	125	2	pure	pure	PROPN
ejpam-4708	125	3	appl	appl	PROPN
ejpam-4708	125	4	.	.	PROPN
ejpam-4708	125	5	math	math	PROPN
ejpam-4708	125	6	,	,	PUNCT
ejpam-4708	125	7	16	16	NUM
ejpam-4708	125	8	(	(	PUNCT
ejpam-4708	125	9	2	2	NUM
ejpam-4708	125	10	)	)	PUNCT
ejpam-4708	125	11	(	(	PUNCT
ejpam-4708	125	12	2023	2023	NUM
ejpam-4708	125	13	)	)	PUNCT
ejpam-4708	125	14	,	,	PUNCT
ejpam-4708	125	15	713	713	NUM
ejpam-4708	125	16	-	-	SYM
ejpam-4708	125	17	723	723	NUM
ejpam-4708	125	18	717	717	NUM
ejpam-4708	125	19	where	where	SCONJ
ejpam-4708	125	20	α	α	NOUN
ejpam-4708	125	21	is	be	AUX
ejpam-4708	125	22	a	a	DET
ejpam-4708	125	23	positive	positive	ADJ
ejpam-4708	125	24	constant	constant	ADJ
ejpam-4708	125	25	such	such	ADJ
ejpam-4708	125	26	that	that	DET
ejpam-4708	125	27	p2n2	p2n2	NOUN
ejpam-4708	125	28	<	<	X
ejpam-4708	125	29	α	α	X
ejpam-4708	125	30	<	<	X
ejpam-4708	125	31	(	(	PUNCT
ejpam-4708	125	32	p1	p1	PROPN
ejpam-4708	125	33	−	−	PROPN
ejpam-4708	125	34	1)d	1)d	NUM
ejpam-4708	125	35	.	.	PUNCT
ejpam-4708	126	1	define	define	VERB
ejpam-4708	126	2	the	the	DET
ejpam-4708	126	3	operator	operator	NOUN
ejpam-4708	126	4	s	s	VERB
ejpam-4708	126	5	on	on	ADP
ejpam-4708	126	6	a	a	PRON
ejpam-4708	126	7	by	by	ADP
ejpam-4708	126	8	(	(	PUNCT
ejpam-4708	126	9	sx)(t	sx)(t	PROPN
ejpam-4708	126	10	)	)	PUNCT
ejpam-4708	126	11	=	=	PUNCT
ejpam-4708	126	12			NOUN
ejpam-4708	126	13	1	1	NUM
ejpam-4708	126	14	p(t+τ	p(t+τ	NOUN
ejpam-4708	126	15	)	)	PUNCT
ejpam-4708	127	1	[	[	PUNCT
ejpam-4708	127	2	α+	α+	PROPN
ejpam-4708	127	3	x(t+	x(t+	PROPN
ejpam-4708	127	4	τ)−	τ)−	PROPN
ejpam-4708	127	5	1	1	NUM
ejpam-4708	127	6	(	(	PUNCT
ejpam-4708	127	7	n−2	n−2	PROPN
ejpam-4708	127	8	)	)	PUNCT
ejpam-4708	127	9	!	!	PUNCT
ejpam-4708	128	1	∫∞	∫∞	NOUN
ejpam-4708	128	2	t+τ	t+τ	NUM
ejpam-4708	129	1	(	(	PUNCT
ejpam-4708	129	2	s−t−τ)n−2	s−t−τ)n−2	PROPN
ejpam-4708	129	3	r(s	r(s	PROPN
ejpam-4708	129	4	)	)	PUNCT
ejpam-4708	129	5	∫	∫	PROPN
ejpam-4708	129	6	s	s	PART
ejpam-4708	129	7	t1+τ	t1+τ	X
ejpam-4708	129	8	[	[	X
ejpam-4708	129	9	f1(u	f1(u	ADJ
ejpam-4708	129	10	,	,	PUNCT
ejpam-4708	129	11	x(σ1(u	x(σ1(u	NOUN
ejpam-4708	129	12	)	)	PUNCT
ejpam-4708	129	13	)	)	PUNCT
ejpam-4708	129	14	)	)	PUNCT
ejpam-4708	130	1	−f2(u	−f2(u	NOUN
ejpam-4708	130	2	,	,	PUNCT
ejpam-4708	130	3	x(σ2(u)))−	x(σ2(u)))−	NUM
ejpam-4708	131	1	g(u)]duds	g(u)]duds	PROPN
ejpam-4708	131	2	]	]	PUNCT
ejpam-4708	131	3	,	,	PUNCT
ejpam-4708	131	4	t	t	PROPN
ejpam-4708	131	5	≥	≥	PROPN
ejpam-4708	131	6	t1	t1	NOUN
ejpam-4708	131	7	(	(	PUNCT
ejpam-4708	131	8	sx)(t1	sx)(t1	PROPN
ejpam-4708	131	9	)	)	PUNCT
ejpam-4708	131	10	,	,	PUNCT
ejpam-4708	131	11	t0	t0	PROPN
ejpam-4708	131	12	≤	≤	PROPN
ejpam-4708	131	13	t	t	PROPN
ejpam-4708	131	14	≤	≤	NUM
ejpam-4708	131	15	t1	t1	PROPN
ejpam-4708	131	16	.	.	PUNCT
ejpam-4708	132	1	clearly	clearly	ADV
ejpam-4708	132	2	,	,	PUNCT
ejpam-4708	132	3	sx	sx	PROPN
ejpam-4708	132	4	is	be	AUX
ejpam-4708	132	5	continuous	continuous	ADJ
ejpam-4708	132	6	.	.	PUNCT
ejpam-4708	133	1	first	first	ADV
ejpam-4708	133	2	,	,	PUNCT
ejpam-4708	133	3	we	we	PRON
ejpam-4708	133	4	shall	shall	AUX
ejpam-4708	133	5	show	show	VERB
ejpam-4708	133	6	that	that	DET
ejpam-4708	133	7	sa	sa	PROPN
ejpam-4708	133	8	⊂	⊂	PROPN
ejpam-4708	133	9	a.	a.	NOUN
ejpam-4708	133	10	in	in	ADP
ejpam-4708	133	11	fact	fact	NOUN
ejpam-4708	133	12	,	,	PUNCT
ejpam-4708	133	13	for	for	ADP
ejpam-4708	133	14	every	every	DET
ejpam-4708	133	15	x	x	SYM
ejpam-4708	133	16	∈	∈	PROPN
ejpam-4708	133	17	a	a	PRON
ejpam-4708	133	18	and	and	CCONJ
ejpam-4708	133	19	t	t	PROPN
ejpam-4708	133	20	≥	≥	PROPN
ejpam-4708	133	21	t1	t1	PROPN
ejpam-4708	133	22	,	,	PUNCT
ejpam-4708	133	23	using	use	VERB
ejpam-4708	133	24	(	(	PUNCT
ejpam-4708	133	25	13	13	NUM
ejpam-4708	133	26	)	)	PUNCT
ejpam-4708	133	27	,	,	PUNCT
ejpam-4708	133	28	we	we	PRON
ejpam-4708	133	29	obtain	obtain	VERB
ejpam-4708	133	30	(	(	PUNCT
ejpam-4708	133	31	sx)(t	sx)(t	PROPN
ejpam-4708	133	32	)	)	PUNCT
ejpam-4708	133	33	=	=	SYM
ejpam-4708	133	34	1	1	NUM
ejpam-4708	133	35	p(t+	p(t+	NOUN
ejpam-4708	133	36	τ	τ	NOUN
ejpam-4708	133	37	)	)	PUNCT
ejpam-4708	133	38	[	[	PUNCT
ejpam-4708	133	39	α+	α+	PROPN
ejpam-4708	133	40	x(t+	x(t+	PROPN
ejpam-4708	133	41	τ)−	τ)−	PROPN
ejpam-4708	133	42	1	1	NUM
ejpam-4708	133	43	(	(	PUNCT
ejpam-4708	133	44	n−	n−	NOUN
ejpam-4708	133	45	2	2	NUM
ejpam-4708	133	46	)	)	PUNCT
ejpam-4708	133	47	!	!	PUNCT
ejpam-4708	134	1	∫	∫	PROPN
ejpam-4708	135	1	∞	∞	PROPN
ejpam-4708	135	2	t+τ	t+τ	NUM
ejpam-4708	135	3	(	(	PUNCT
ejpam-4708	135	4	s−	s−	PROPN
ejpam-4708	135	5	t−	t−	PROPN
ejpam-4708	135	6	τ)n−2	τ)n−2	PROPN
ejpam-4708	135	7	r(s	r(s	PROPN
ejpam-4708	135	8	)	)	PUNCT
ejpam-4708	135	9	∫	∫	PROPN
ejpam-4708	135	10	s	s	PART
ejpam-4708	135	11	t1+τ	t1+τ	X
ejpam-4708	136	1	[	[	X
ejpam-4708	136	2	f1(u	f1(u	ADJ
ejpam-4708	136	3	,	,	PUNCT
ejpam-4708	136	4	x(σ1(u	x(σ1(u	NOUN
ejpam-4708	136	5	)	)	PUNCT
ejpam-4708	136	6	)	)	PUNCT
ejpam-4708	136	7	)	)	PUNCT
ejpam-4708	137	1	−	−	PROPN
ejpam-4708	137	2	f2(u	f2(u	PROPN
ejpam-4708	137	3	,	,	PUNCT
ejpam-4708	137	4	x(σ2(u)))−	x(σ2(u)))−	NOUN
ejpam-4708	138	1	g(u)]duds	g(u)]duds	PROPN
ejpam-4708	138	2	]	]	PUNCT
ejpam-4708	138	3	≤	≤	NUM
ejpam-4708	138	4	1	1	NUM
ejpam-4708	138	5	p1	p1	NOUN
ejpam-4708	138	6	[	[	PUNCT
ejpam-4708	138	7	α+	α+	PUNCT
ejpam-4708	138	8	d+	d+	NOUN
ejpam-4708	138	9	1	1	NUM
ejpam-4708	138	10	(	(	PUNCT
ejpam-4708	138	11	n−	n−	NOUN
ejpam-4708	138	12	2	2	NUM
ejpam-4708	138	13	)	)	PUNCT
ejpam-4708	138	14	!	!	PUNCT
ejpam-4708	139	1	∫	∫	PROPN
ejpam-4708	140	1	∞	∞	PROPN
ejpam-4708	140	2	t1	t1	PROPN
ejpam-4708	140	3	∫	∫	PROPN
ejpam-4708	140	4	s	s	PART
ejpam-4708	140	5	t1	t1	NOUN
ejpam-4708	140	6	(	(	PUNCT
ejpam-4708	140	7	s−	s−	PROPN
ejpam-4708	140	8	t)n−2	t)n−2	ADP
ejpam-4708	140	9	r(s	r(s	PROPN
ejpam-4708	140	10	)	)	PUNCT
ejpam-4708	141	1	[	[	X
ejpam-4708	141	2	f2(u	f2(u	NOUN
ejpam-4708	141	3	,	,	PUNCT
ejpam-4708	141	4	d	d	NOUN
ejpam-4708	141	5	)	)	PUNCT
ejpam-4708	142	1	+	+	NUM
ejpam-4708	142	2	|g(u)|]duds	|g(u)|]dud	NOUN
ejpam-4708	142	3	]	]	PUNCT
ejpam-4708	142	4	≤	≤	NUM
ejpam-4708	142	5	d	d	NOUN
ejpam-4708	142	6	and	and	CCONJ
ejpam-4708	142	7	taking	take	VERB
ejpam-4708	142	8	(	(	PUNCT
ejpam-4708	142	9	12	12	NUM
ejpam-4708	142	10	)	)	PUNCT
ejpam-4708	142	11	into	into	ADP
ejpam-4708	142	12	account	account	NOUN
ejpam-4708	142	13	,	,	PUNCT
ejpam-4708	142	14	we	we	PRON
ejpam-4708	142	15	have	have	VERB
ejpam-4708	142	16	(	(	PUNCT
ejpam-4708	142	17	sx)(t	sx)(t	PROPN
ejpam-4708	142	18	)	)	PUNCT
ejpam-4708	142	19	=	=	SYM
ejpam-4708	142	20	1	1	NUM
ejpam-4708	142	21	p(t+	p(t+	NOUN
ejpam-4708	142	22	τ	τ	NOUN
ejpam-4708	142	23	)	)	PUNCT
ejpam-4708	142	24	[	[	PUNCT
ejpam-4708	142	25	α+	α+	PROPN
ejpam-4708	142	26	x(t+	x(t+	PROPN
ejpam-4708	142	27	τ)−	τ)−	PROPN
ejpam-4708	142	28	1	1	NUM
ejpam-4708	142	29	(	(	PUNCT
ejpam-4708	142	30	n−	n−	NOUN
ejpam-4708	142	31	2	2	NUM
ejpam-4708	142	32	)	)	PUNCT
ejpam-4708	142	33	!	!	PUNCT
ejpam-4708	143	1	∫	∫	PROPN
ejpam-4708	144	1	∞	∞	PROPN
ejpam-4708	144	2	t+τ	t+τ	NUM
ejpam-4708	144	3	(	(	PUNCT
ejpam-4708	144	4	s−	s−	PROPN
ejpam-4708	144	5	t−	t−	PROPN
ejpam-4708	144	6	τ)n−2	τ)n−2	PROPN
ejpam-4708	144	7	r(s	r(s	PROPN
ejpam-4708	144	8	)	)	PUNCT
ejpam-4708	144	9	∫	∫	PROPN
ejpam-4708	144	10	s	s	PART
ejpam-4708	144	11	t1+τ	t1+τ	X
ejpam-4708	145	1	[	[	X
ejpam-4708	145	2	f1(u	f1(u	ADJ
ejpam-4708	145	3	,	,	PUNCT
ejpam-4708	145	4	x(σ1(u	x(σ1(u	NOUN
ejpam-4708	145	5	)	)	PUNCT
ejpam-4708	145	6	)	)	PUNCT
ejpam-4708	145	7	)	)	PUNCT
ejpam-4708	146	1	−	−	PROPN
ejpam-4708	146	2	f2(u	f2(u	PROPN
ejpam-4708	146	3	,	,	PUNCT
ejpam-4708	146	4	x(σ2(u)))−	x(σ2(u)))−	NOUN
ejpam-4708	147	1	g(u)]duds	g(u)]duds	PROPN
ejpam-4708	147	2	]	]	PUNCT
ejpam-4708	147	3	≥	≥	NOUN
ejpam-4708	147	4	1	1	NUM
ejpam-4708	147	5	p(t+	p(t+	PROPN
ejpam-4708	147	6	τ	τ	NOUN
ejpam-4708	147	7	)	)	PUNCT
ejpam-4708	147	8	[	[	PUNCT
ejpam-4708	147	9	α−	α−	ADP
ejpam-4708	147	10	1	1	NUM
ejpam-4708	147	11	(	(	PUNCT
ejpam-4708	147	12	n−	n−	NOUN
ejpam-4708	147	13	2	2	NUM
ejpam-4708	147	14	)	)	PUNCT
ejpam-4708	147	15	!	!	PUNCT
ejpam-4708	148	1	∫	∫	PROPN
ejpam-4708	149	1	∞	∞	PROPN
ejpam-4708	149	2	t1	t1	PROPN
ejpam-4708	149	3	∫	∫	PROPN
ejpam-4708	149	4	s	s	PART
ejpam-4708	149	5	t1	t1	NOUN
ejpam-4708	149	6	(	(	PUNCT
ejpam-4708	149	7	s−	s−	PROPN
ejpam-4708	149	8	t)n−2	t)n−2	ADP
ejpam-4708	149	9	r(s	r(s	PROPN
ejpam-4708	149	10	)	)	PUNCT
ejpam-4708	150	1	[	[	X
ejpam-4708	150	2	f1(u	f1(u	X
ejpam-4708	150	3	,	,	PUNCT
ejpam-4708	150	4	d	d	NOUN
ejpam-4708	150	5	)	)	PUNCT
ejpam-4708	151	1	+	+	NUM
ejpam-4708	151	2	|g(u)|]duds	|g(u)|]dud	NOUN
ejpam-4708	151	3	]	]	PUNCT
ejpam-4708	151	4	≥	≥	NUM
ejpam-4708	151	5	1	1	NUM
ejpam-4708	151	6	p2	p2	NOUN
ejpam-4708	151	7	[	[	PUNCT
ejpam-4708	151	8	α−	α−	ADP
ejpam-4708	151	9	1	1	NUM
ejpam-4708	151	10	(	(	PUNCT
ejpam-4708	151	11	n−	n−	NOUN
ejpam-4708	151	12	2	2	NUM
ejpam-4708	151	13	)	)	PUNCT
ejpam-4708	151	14	!	!	PUNCT
ejpam-4708	152	1	∫	∫	PROPN
ejpam-4708	153	1	∞	∞	PROPN
ejpam-4708	153	2	t1	t1	PROPN
ejpam-4708	153	3	∫	∫	PROPN
ejpam-4708	153	4	s	s	PART
ejpam-4708	153	5	t1	t1	NOUN
ejpam-4708	153	6	(	(	PUNCT
ejpam-4708	153	7	s−	s−	PROPN
ejpam-4708	153	8	t)n−2	t)n−2	ADP
ejpam-4708	153	9	r(s	r(s	PROPN
ejpam-4708	153	10	)	)	PUNCT
ejpam-4708	154	1	[	[	X
ejpam-4708	154	2	f1(u	f1(u	X
ejpam-4708	154	3	,	,	PUNCT
ejpam-4708	154	4	d	d	NOUN
ejpam-4708	154	5	)	)	PUNCT
ejpam-4708	155	1	+	+	NUM
ejpam-4708	155	2	|g(u)|]duds	|g(u)|]dud	NOUN
ejpam-4708	155	3	]	]	PUNCT
ejpam-4708	155	4	≥	≥	X
ejpam-4708	155	5	n2	n2	NOUN
ejpam-4708	155	6	.	.	PUNCT
ejpam-4708	156	1	thus	thus	ADV
ejpam-4708	156	2	,	,	PUNCT
ejpam-4708	156	3	we	we	PRON
ejpam-4708	156	4	proved	prove	VERB
ejpam-4708	156	5	that	that	SCONJ
ejpam-4708	156	6	sa	sa	PROPN
ejpam-4708	156	7	⊂	⊂	PROPN
ejpam-4708	156	8	a.	a.	PROPN
ejpam-4708	156	9	second	second	PROPN
ejpam-4708	156	10	,	,	PUNCT
ejpam-4708	156	11	we	we	PRON
ejpam-4708	156	12	shall	shall	AUX
ejpam-4708	156	13	show	show	VERB
ejpam-4708	156	14	that	that	SCONJ
ejpam-4708	156	15	s	s	VERB
ejpam-4708	156	16	is	be	AUX
ejpam-4708	156	17	a	a	DET
ejpam-4708	156	18	contraction	contraction	NOUN
ejpam-4708	156	19	operator	operator	NOUN
ejpam-4708	156	20	on	on	ADP
ejpam-4708	156	21	a.	a.	NOUN
ejpam-4708	156	22	in	in	ADP
ejpam-4708	156	23	fact	fact	NOUN
ejpam-4708	156	24	,	,	PUNCT
ejpam-4708	156	25	for	for	ADP
ejpam-4708	156	26	x	x	X
ejpam-4708	156	27	,	,	PUNCT
ejpam-4708	156	28	y	y	PROPN
ejpam-4708	156	29	∈	∈	PROPN
ejpam-4708	156	30	a	a	PRON
ejpam-4708	156	31	and	and	CCONJ
ejpam-4708	156	32	t	t	PROPN
ejpam-4708	156	33	≥	≥	NOUN
ejpam-4708	156	34	t1	t1	NOUN
ejpam-4708	156	35	,	,	PUNCT
ejpam-4708	156	36	in	in	ADP
ejpam-4708	156	37	view	view	NOUN
ejpam-4708	156	38	of	of	ADP
ejpam-4708	156	39	(	(	PUNCT
ejpam-4708	156	40	2	2	NUM
ejpam-4708	156	41	)	)	PUNCT
ejpam-4708	156	42	and	and	CCONJ
ejpam-4708	156	43	(	(	PUNCT
ejpam-4708	156	44	11	11	NUM
ejpam-4708	156	45	)	)	PUNCT
ejpam-4708	156	46	,	,	PUNCT
ejpam-4708	156	47	we	we	PRON
ejpam-4708	156	48	have	have	VERB
ejpam-4708	156	49	|(sx)(t)−	|(sx)(t)−	PROPN
ejpam-4708	156	50	(	(	PUNCT
ejpam-4708	156	51	sy)(t)|	sy)(t)|	NUM
ejpam-4708	156	52	≤	≤	ADV
ejpam-4708	156	53	1	1	NUM
ejpam-4708	156	54	p(t+	p(t+	NUM
ejpam-4708	156	55	τ	τ	NOUN
ejpam-4708	156	56	)	)	PUNCT
ejpam-4708	156	57	[	[	PUNCT
ejpam-4708	156	58	|x(t+	|x(t+	NOUN
ejpam-4708	156	59	τ)−	τ)−	PROPN
ejpam-4708	157	1	y(t+	y(t+	NOUN
ejpam-4708	157	2	τ)|	τ)|	NOUN
ejpam-4708	158	1	+	+	CCONJ
ejpam-4708	158	2	1	1	X
ejpam-4708	158	3	(	(	PUNCT
ejpam-4708	158	4	n−	n−	NOUN
ejpam-4708	158	5	2	2	NUM
ejpam-4708	158	6	)	)	PUNCT
ejpam-4708	158	7	!	!	PUNCT
ejpam-4708	159	1	2∑	2∑	NOUN
ejpam-4708	160	1	i=1	i=1	X
ejpam-4708	160	2	∫	∫	PROPN
ejpam-4708	161	1	∞	∞	PROPN
ejpam-4708	161	2	t	t	PROPN
ejpam-4708	161	3	(	(	PUNCT
ejpam-4708	161	4	s−	s−	PROPN
ejpam-4708	161	5	t−	t−	PROPN
ejpam-4708	161	6	τ)n−2	τ)n−2	PROPN
ejpam-4708	161	7	r(s	r(s	PROPN
ejpam-4708	161	8	)	)	PUNCT
ejpam-4708	161	9	∫	∫	PROPN
ejpam-4708	161	10	s	s	PART
ejpam-4708	161	11	t1	t1	NOUN
ejpam-4708	161	12	|fi(u	|fi(u	PROPN
ejpam-4708	161	13	,	,	PUNCT
ejpam-4708	161	14	x(σi(u)))−	x(σi(u)))−	PROPN
ejpam-4708	161	15	fi(u	fi(u	NOUN
ejpam-4708	161	16	,	,	PUNCT
ejpam-4708	161	17	y(σi(u)))|duds	y(σi(u)))|duds	NOUN
ejpam-4708	161	18	]	]	PUNCT
ejpam-4708	161	19	≤	≤	X
ejpam-4708	162	1	∥x−	∥x−	PROPN
ejpam-4708	162	2	y∥	y∥	NOUN
ejpam-4708	162	3	p1	p1	NOUN
ejpam-4708	162	4	[	[	PUNCT
ejpam-4708	162	5	1	1	NUM
ejpam-4708	162	6	+	+	NUM
ejpam-4708	162	7	1	1	NUM
ejpam-4708	162	8	(	(	PUNCT
ejpam-4708	162	9	n−	n−	NOUN
ejpam-4708	162	10	2	2	NUM
ejpam-4708	162	11	)	)	PUNCT
ejpam-4708	162	12	!	!	PUNCT
ejpam-4708	163	1	2∑	2∑	NOUN
ejpam-4708	164	1	i=1	i=1	X
ejpam-4708	164	2	∫	∫	PROPN
ejpam-4708	165	1	∞	∞	PROPN
ejpam-4708	165	2	t1	t1	PROPN
ejpam-4708	165	3	∫	∫	PROPN
ejpam-4708	165	4	s	s	PART
ejpam-4708	165	5	t1	t1	NOUN
ejpam-4708	165	6	(	(	PUNCT
ejpam-4708	165	7	s−	s−	PROPN
ejpam-4708	165	8	t)n−2	t)n−2	ADP
ejpam-4708	165	9	r(s	r(	NOUN
ejpam-4708	165	10	)	)	PUNCT
ejpam-4708	165	11	qi(u)duds	qi(u)dud	NOUN
ejpam-4708	165	12	]	]	PUNCT
ejpam-4708	165	13	≤	≤	X
ejpam-4708	165	14	θ2∥x−	θ2∥x−	PROPN
ejpam-4708	165	15	y∥.	y∥.	PROPN
ejpam-4708	165	16	b.	b.	PROPN
ejpam-4708	165	17	çına	çına	PROPN
ejpam-4708	165	18	,	,	PUNCT
ejpam-4708	165	19	t.	t.	PROPN
ejpam-4708	165	20	candan	candan	PROPN
ejpam-4708	165	21	,	,	PUNCT
ejpam-4708	165	22	m.	m.	NOUN
ejpam-4708	165	23	tamer	tamer	AUX
ejpam-4708	165	24	şenel	şenel	PROPN
ejpam-4708	165	25	/	/	SYM
ejpam-4708	165	26	eur	eur	NOUN
ejpam-4708	165	27	.	.	PUNCT
ejpam-4708	166	1	j.	j.	PROPN
ejpam-4708	166	2	pure	pure	PROPN
ejpam-4708	166	3	appl	appl	PROPN
ejpam-4708	166	4	.	.	PROPN
ejpam-4708	166	5	math	math	PROPN
ejpam-4708	166	6	,	,	PUNCT
ejpam-4708	166	7	16	16	NUM
ejpam-4708	166	8	(	(	PUNCT
ejpam-4708	166	9	2	2	NUM
ejpam-4708	166	10	)	)	PUNCT
ejpam-4708	166	11	(	(	PUNCT
ejpam-4708	166	12	2023	2023	NUM
ejpam-4708	166	13	)	)	PUNCT
ejpam-4708	166	14	,	,	PUNCT
ejpam-4708	166	15	713	713	NUM
ejpam-4708	166	16	-	-	SYM
ejpam-4708	166	17	723	723	NUM
ejpam-4708	166	18	718	718	NUM
ejpam-4708	166	19	this	this	PRON
ejpam-4708	166	20	immediately	immediately	ADV
ejpam-4708	166	21	implies	imply	VERB
ejpam-4708	166	22	that	that	SCONJ
ejpam-4708	166	23	∥sx−	∥sx−	PROPN
ejpam-4708	166	24	sy∥	sy∥	PROPN
ejpam-4708	166	25	≤	≤	VERB
ejpam-4708	166	26	θ2∥x−	θ2∥x−	PUNCT
ejpam-4708	166	27	y∥.	y∥.	NOUN
ejpam-4708	166	28	since	since	SCONJ
ejpam-4708	166	29	θ2	θ2	PROPN
ejpam-4708	166	30	<	<	X
ejpam-4708	166	31	1	1	NUM
ejpam-4708	166	32	by	by	ADP
ejpam-4708	166	33	(	(	PUNCT
ejpam-4708	166	34	11	11	NUM
ejpam-4708	166	35	)	)	PUNCT
ejpam-4708	166	36	,	,	PUNCT
ejpam-4708	166	37	it	it	PRON
ejpam-4708	166	38	follows	follow	VERB
ejpam-4708	166	39	that	that	SCONJ
ejpam-4708	166	40	s	s	VERB
ejpam-4708	166	41	is	be	AUX
ejpam-4708	166	42	a	a	DET
ejpam-4708	166	43	contraction	contraction	NOUN
ejpam-4708	166	44	operator	operator	NOUN
ejpam-4708	166	45	on	on	ADP
ejpam-4708	166	46	a.	a.	NOUN
ejpam-4708	166	47	by	by	ADP
ejpam-4708	166	48	the	the	DET
ejpam-4708	166	49	banach	banach	NOUN
ejpam-4708	166	50	contraction	contraction	NOUN
ejpam-4708	166	51	mapping	mapping	NOUN
ejpam-4708	166	52	principle	principle	NOUN
ejpam-4708	166	53	,	,	PUNCT
ejpam-4708	166	54	s	s	AUX
ejpam-4708	166	55	has	have	VERB
ejpam-4708	166	56	a	a	DET
ejpam-4708	166	57	fixed	fix	VERB
ejpam-4708	166	58	point	point	NOUN
ejpam-4708	166	59	x	x	X
ejpam-4708	166	60	∈	∈	PROPN
ejpam-4708	166	61	a	a	PRON
ejpam-4708	166	62	,	,	PUNCT
ejpam-4708	166	63	and	and	CCONJ
ejpam-4708	166	64	x	x	X
ejpam-4708	166	65	is	be	AUX
ejpam-4708	166	66	a	a	DET
ejpam-4708	166	67	positive	positive	ADJ
ejpam-4708	166	68	solution	solution	NOUN
ejpam-4708	166	69	of	of	ADP
ejpam-4708	166	70	(	(	PUNCT
ejpam-4708	166	71	1	1	NUM
ejpam-4708	166	72	)	)	PUNCT
ejpam-4708	166	73	.	.	PUNCT
ejpam-4708	167	1	thus	thus	ADV
ejpam-4708	167	2	,	,	PUNCT
ejpam-4708	167	3	the	the	DET
ejpam-4708	167	4	proof	proof	NOUN
ejpam-4708	167	5	is	be	AUX
ejpam-4708	167	6	completed	complete	VERB
ejpam-4708	167	7	.	.	PUNCT
ejpam-4708	168	1	theorem	theorem	NOUN
ejpam-4708	168	2	3	3	NUM
ejpam-4708	169	1	.	.	PUNCT
ejpam-4708	169	2	assume	assume	VERB
ejpam-4708	169	3	that	that	SCONJ
ejpam-4708	169	4	(	(	PUNCT
ejpam-4708	169	5	3)-(5	3)-(5	NUM
ejpam-4708	169	6	)	)	PUNCT
ejpam-4708	169	7	hold	hold	NOUN
ejpam-4708	169	8	and	and	CCONJ
ejpam-4708	169	9	−1	−1	NOUN
ejpam-4708	169	10	<	<	X
ejpam-4708	169	11	−p	−p	ADJ
ejpam-4708	169	12	≤	≤	NUM
ejpam-4708	169	13	p(t	p(t	NOUN
ejpam-4708	169	14	)	)	PUNCT
ejpam-4708	169	15	≤	≤	NOUN
ejpam-4708	169	16	0	0	NUM
ejpam-4708	169	17	.	.	PUNCT
ejpam-4708	170	1	then	then	ADV
ejpam-4708	170	2	(	(	PUNCT
ejpam-4708	170	3	1	1	X
ejpam-4708	170	4	)	)	PUNCT
ejpam-4708	170	5	has	have	VERB
ejpam-4708	170	6	a	a	DET
ejpam-4708	170	7	bounded	bound	VERB
ejpam-4708	170	8	nonoscillatory	nonoscillatory	ADJ
ejpam-4708	170	9	solution	solution	NOUN
ejpam-4708	170	10	.	.	PUNCT
ejpam-4708	171	1	proof	proof	NOUN
ejpam-4708	171	2	.	.	PUNCT
ejpam-4708	172	1	suppose	suppose	VERB
ejpam-4708	172	2	(	(	PUNCT
ejpam-4708	172	3	4	4	X
ejpam-4708	172	4	)	)	PUNCT
ejpam-4708	172	5	holds	hold	VERB
ejpam-4708	172	6	with	with	ADP
ejpam-4708	172	7	d	d	PROPN
ejpam-4708	172	8	>	>	X
ejpam-4708	172	9	0	0	PROPN
ejpam-4708	172	10	,	,	PUNCT
ejpam-4708	172	11	the	the	DET
ejpam-4708	172	12	case	case	NOUN
ejpam-4708	172	13	d	d	X
ejpam-4708	172	14	<	<	X
ejpam-4708	172	15	0	0	NUM
ejpam-4708	172	16	can	can	AUX
ejpam-4708	172	17	be	be	AUX
ejpam-4708	172	18	treated	treat	VERB
ejpam-4708	172	19	similarly	similarly	ADV
ejpam-4708	172	20	.	.	PUNCT
ejpam-4708	173	1	let	let	VERB
ejpam-4708	173	2	x	x	PRON
ejpam-4708	173	3	be	be	AUX
ejpam-4708	173	4	the	the	DET
ejpam-4708	173	5	set	set	NOUN
ejpam-4708	173	6	as	as	ADP
ejpam-4708	173	7	in	in	ADP
ejpam-4708	173	8	the	the	DET
ejpam-4708	173	9	proof	proof	NOUN
ejpam-4708	173	10	of	of	ADP
ejpam-4708	173	11	theorem	theorem	NOUN
ejpam-4708	173	12	1	1	NUM
ejpam-4708	173	13	.	.	PUNCT
ejpam-4708	173	14	set	set	VERB
ejpam-4708	173	15	a	a	DET
ejpam-4708	173	16	=	=	X
ejpam-4708	173	17	{	{	PUNCT
ejpam-4708	173	18	x	x	SYM
ejpam-4708	173	19	∈	∈	PROPN
ejpam-4708	173	20	x	x	X
ejpam-4708	173	21	:	:	PUNCT
ejpam-4708	173	22	n3	n3	VERB
ejpam-4708	173	23	≤	≤	NUM
ejpam-4708	173	24	x(t	x(t	PROPN
ejpam-4708	173	25	)	)	PUNCT
ejpam-4708	173	26	≤	≤	NUM
ejpam-4708	174	1	d	d	X
ejpam-4708	174	2	,	,	PUNCT
ejpam-4708	174	3	t	t	PROPN
ejpam-4708	174	4	≥	≥	PROPN
ejpam-4708	174	5	t0	t0	PROPN
ejpam-4708	174	6	}	}	PUNCT
ejpam-4708	174	7	,	,	PUNCT
ejpam-4708	174	8	where	where	SCONJ
ejpam-4708	174	9	n3	n3	NOUN
ejpam-4708	174	10	is	be	AUX
ejpam-4708	174	11	a	a	DET
ejpam-4708	174	12	positive	positive	ADJ
ejpam-4708	174	13	constant	constant	ADJ
ejpam-4708	174	14	such	such	ADJ
ejpam-4708	174	15	that	that	DET
ejpam-4708	174	16	n3	n3	NOUN
ejpam-4708	174	17	+	+	CCONJ
ejpam-4708	174	18	pd	pd	X
ejpam-4708	174	19	<	<	X
ejpam-4708	174	20	d.	d.	PROPN
ejpam-4708	174	21	clearly	clearly	ADV
ejpam-4708	174	22	,	,	PUNCT
ejpam-4708	174	23	a	a	PRON
ejpam-4708	174	24	is	be	AUX
ejpam-4708	174	25	a	a	DET
ejpam-4708	174	26	closed	closed	ADJ
ejpam-4708	174	27	,	,	PUNCT
ejpam-4708	174	28	bounded	bound	VERB
ejpam-4708	174	29	and	and	CCONJ
ejpam-4708	174	30	convex	convex	PROPN
ejpam-4708	174	31	subset	subset	NOUN
ejpam-4708	174	32	of	of	ADP
ejpam-4708	174	33	x.	x.	NOUN
ejpam-4708	174	34	in	in	ADP
ejpam-4708	174	35	view	view	NOUN
ejpam-4708	174	36	of	of	ADP
ejpam-4708	174	37	(	(	PUNCT
ejpam-4708	174	38	3)-(5	3)-(5	NUM
ejpam-4708	174	39	)	)	PUNCT
ejpam-4708	174	40	,	,	PUNCT
ejpam-4708	174	41	there	there	PRON
ejpam-4708	174	42	exists	exist	VERB
ejpam-4708	174	43	a	a	DET
ejpam-4708	174	44	t1	t1	NOUN
ejpam-4708	174	45	>	>	X
ejpam-4708	174	46	t0	t0	PROPN
ejpam-4708	174	47	sufficiently	sufficiently	ADV
ejpam-4708	174	48	large	large	ADJ
ejpam-4708	174	49	such	such	ADJ
ejpam-4708	174	50	that	that	SCONJ
ejpam-4708	174	51	t−	t−	PROPN
ejpam-4708	174	52	τ	τ	PROPN
ejpam-4708	174	53	≥	≥	NUM
ejpam-4708	174	54	t0	t0	PROPN
ejpam-4708	174	55	,	,	PUNCT
ejpam-4708	174	56	σ1(t	σ1(t	X
ejpam-4708	174	57	)	)	PUNCT
ejpam-4708	174	58	≥	≥	NOUN
ejpam-4708	174	59	t0	t0	PROPN
ejpam-4708	174	60	,	,	PUNCT
ejpam-4708	174	61	σ2(t	σ2(t	PROPN
ejpam-4708	174	62	)	)	PUNCT
ejpam-4708	174	63	≥	≥	NOUN
ejpam-4708	174	64	t0	t0	PROPN
ejpam-4708	174	65	for	for	ADP
ejpam-4708	174	66	t	t	PROPN
ejpam-4708	174	67	≥	≥	NOUN
ejpam-4708	174	68	t1	t1	NOUN
ejpam-4708	174	69	and	and	CCONJ
ejpam-4708	174	70	p+	p+	PROPN
ejpam-4708	174	71	2	2	NUM
ejpam-4708	174	72	(	(	PUNCT
ejpam-4708	174	73	n−	n−	NOUN
ejpam-4708	174	74	2	2	NUM
ejpam-4708	174	75	)	)	PUNCT
ejpam-4708	174	76	!	!	PUNCT
ejpam-4708	175	1	∫	∫	PROPN
ejpam-4708	176	1	∞	∞	PROPN
ejpam-4708	176	2	t1	t1	PROPN
ejpam-4708	176	3	∫	∫	PROPN
ejpam-4708	176	4	s	s	PART
ejpam-4708	176	5	t1	t1	NOUN
ejpam-4708	176	6	(	(	PUNCT
ejpam-4708	176	7	s−	s−	PROPN
ejpam-4708	176	8	t)n−2	t)n−2	ADP
ejpam-4708	176	9	r(s	r(s	PROPN
ejpam-4708	176	10	)	)	PUNCT
ejpam-4708	176	11	qi(u)duds	qi(u)dud	NOUN
ejpam-4708	176	12	≤	≤	PROPN
ejpam-4708	176	13	θ3	θ3	NOUN
ejpam-4708	176	14	<	<	X
ejpam-4708	176	15	1	1	NUM
ejpam-4708	176	16	,	,	PUNCT
ejpam-4708	176	17	i	i	PRON
ejpam-4708	176	18	=	=	NOUN
ejpam-4708	176	19	1	1	NUM
ejpam-4708	176	20	,	,	PUNCT
ejpam-4708	176	21	2	2	NUM
ejpam-4708	176	22	,	,	PUNCT
ejpam-4708	176	23	(	(	PUNCT
ejpam-4708	176	24	14	14	NUM
ejpam-4708	176	25	)	)	PUNCT
ejpam-4708	176	26	where	where	SCONJ
ejpam-4708	176	27	θ3	θ3	PROPN
ejpam-4708	176	28	is	be	AUX
ejpam-4708	176	29	a	a	DET
ejpam-4708	176	30	constant	constant	ADJ
ejpam-4708	176	31	,	,	PUNCT
ejpam-4708	176	32	1	1	NUM
ejpam-4708	176	33	(	(	PUNCT
ejpam-4708	176	34	n−	n−	NOUN
ejpam-4708	176	35	2	2	NUM
ejpam-4708	176	36	)	)	PUNCT
ejpam-4708	176	37	!	!	PUNCT
ejpam-4708	177	1	∫	∫	PROPN
ejpam-4708	178	1	∞	∞	PROPN
ejpam-4708	178	2	t1	t1	PROPN
ejpam-4708	178	3	∫	∫	PROPN
ejpam-4708	178	4	s	s	PART
ejpam-4708	178	5	t1	t1	NOUN
ejpam-4708	178	6	(	(	PUNCT
ejpam-4708	178	7	s−	s−	PROPN
ejpam-4708	178	8	t)n−2	t)n−2	ADP
ejpam-4708	178	9	r(s	r(s	PROPN
ejpam-4708	178	10	)	)	PUNCT
ejpam-4708	179	1	[	[	X
ejpam-4708	179	2	f1(u	f1(u	X
ejpam-4708	179	3	,	,	PUNCT
ejpam-4708	179	4	d	d	NOUN
ejpam-4708	179	5	)	)	PUNCT
ejpam-4708	180	1	+	+	NUM
ejpam-4708	180	2	|g(u)|]duds	|g(u)|]dud	NOUN
ejpam-4708	180	3	≤	≤	NUM
ejpam-4708	180	4	d−	d−	PROPN
ejpam-4708	180	5	α	α	NOUN
ejpam-4708	180	6	,	,	PUNCT
ejpam-4708	180	7	(	(	PUNCT
ejpam-4708	180	8	15	15	NUM
ejpam-4708	180	9	)	)	SYM
ejpam-4708	180	10	1	1	NUM
ejpam-4708	180	11	(	(	PUNCT
ejpam-4708	180	12	n−	n−	NOUN
ejpam-4708	180	13	2	2	NUM
ejpam-4708	180	14	)	)	PUNCT
ejpam-4708	180	15	!	!	PUNCT
ejpam-4708	181	1	∫	∫	PROPN
ejpam-4708	182	1	∞	∞	PROPN
ejpam-4708	182	2	t1	t1	PROPN
ejpam-4708	182	3	∫	∫	PROPN
ejpam-4708	182	4	s	s	PART
ejpam-4708	182	5	t1	t1	NOUN
ejpam-4708	182	6	(	(	PUNCT
ejpam-4708	182	7	s−	s−	PROPN
ejpam-4708	182	8	t)n−2	t)n−2	ADP
ejpam-4708	182	9	r(s	r(s	PROPN
ejpam-4708	182	10	)	)	PUNCT
ejpam-4708	183	1	[	[	X
ejpam-4708	183	2	f2(u	f2(u	NOUN
ejpam-4708	183	3	,	,	PUNCT
ejpam-4708	183	4	d	d	NOUN
ejpam-4708	183	5	)	)	PUNCT
ejpam-4708	184	1	+	+	NUM
ejpam-4708	184	2	|g(u)|]duds	|g(u)|]dud	NOUN
ejpam-4708	184	3	≤	≤	NOUN
ejpam-4708	184	4	α−n3	α−n3	NUM
ejpam-4708	184	5	−	−	PROPN
ejpam-4708	184	6	pd	pd	PROPN
ejpam-4708	184	7	,	,	PUNCT
ejpam-4708	184	8	(	(	PUNCT
ejpam-4708	184	9	16	16	NUM
ejpam-4708	184	10	)	)	PUNCT
ejpam-4708	184	11	where	where	SCONJ
ejpam-4708	184	12	α	α	NOUN
ejpam-4708	184	13	is	be	AUX
ejpam-4708	184	14	a	a	DET
ejpam-4708	184	15	positive	positive	ADJ
ejpam-4708	184	16	constant	constant	ADJ
ejpam-4708	184	17	such	such	ADJ
ejpam-4708	184	18	that	that	DET
ejpam-4708	184	19	n3	n3	NOUN
ejpam-4708	184	20	+	+	CCONJ
ejpam-4708	184	21	pd	pd	X
ejpam-4708	184	22	<	<	X
ejpam-4708	184	23	α	α	X
ejpam-4708	184	24	<	<	X
ejpam-4708	184	25	d.	d.	NOUN
ejpam-4708	184	26	define	define	VERB
ejpam-4708	184	27	the	the	DET
ejpam-4708	184	28	operator	operator	NOUN
ejpam-4708	184	29	s	s	VERB
ejpam-4708	184	30	on	on	ADP
ejpam-4708	184	31	a	a	DET
ejpam-4708	184	32	by	by	ADP
ejpam-4708	184	33	(	(	PUNCT
ejpam-4708	184	34	sx)(t	sx)(t	PROPN
ejpam-4708	184	35	)	)	PUNCT
ejpam-4708	184	36	=	=	SYM
ejpam-4708	185	1			PRON
ejpam-4708	185	2	α+	α+	PUNCT
ejpam-4708	185	3	p(t)x(t−	p(t)x(t−	X
ejpam-4708	185	4	τ	τ	X
ejpam-4708	185	5	)	)	PUNCT
ejpam-4708	186	1	+	+	CCONJ
ejpam-4708	186	2	1	1	NUM
ejpam-4708	186	3	(	(	PUNCT
ejpam-4708	186	4	n−2	n−2	PROPN
ejpam-4708	186	5	)	)	PUNCT
ejpam-4708	186	6	!	!	PUNCT
ejpam-4708	187	1	∫∞	∫∞	PROPN
ejpam-4708	187	2	t	t	PROPN
ejpam-4708	187	3	(	(	PUNCT
ejpam-4708	187	4	s−t)n−2	s−t)n−2	PROPN
ejpam-4708	187	5	r(s	r(s	PROPN
ejpam-4708	187	6	)	)	PUNCT
ejpam-4708	187	7	∫	∫	PROPN
ejpam-4708	187	8	s	s	PART
ejpam-4708	188	1	t1	t1	NOUN
ejpam-4708	188	2	[	[	X
ejpam-4708	188	3	f1(u	f1(u	ADJ
ejpam-4708	188	4	,	,	PUNCT
ejpam-4708	188	5	x(σ1(u	x(σ1(u	NOUN
ejpam-4708	188	6	)	)	PUNCT
ejpam-4708	188	7	)	)	PUNCT
ejpam-4708	188	8	)	)	PUNCT
ejpam-4708	189	1	−f2(u	−f2(u	NOUN
ejpam-4708	189	2	,	,	PUNCT
ejpam-4708	189	3	x(σ2(u)))−	x(σ2(u)))−	PROPN
ejpam-4708	190	1	g(u)]duds	g(u)]duds	PROPN
ejpam-4708	190	2	,	,	PUNCT
ejpam-4708	190	3	t	t	PROPN
ejpam-4708	190	4	≥	≥	PROPN
ejpam-4708	190	5	t1	t1	NOUN
ejpam-4708	190	6	(	(	PUNCT
ejpam-4708	190	7	sx)(t1	sx)(t1	PROPN
ejpam-4708	190	8	)	)	PUNCT
ejpam-4708	190	9	,	,	PUNCT
ejpam-4708	190	10	t0	t0	PROPN
ejpam-4708	190	11	≤	≤	PROPN
ejpam-4708	190	12	t	t	PROPN
ejpam-4708	190	13	≤	≤	NUM
ejpam-4708	190	14	t1	t1	PROPN
ejpam-4708	190	15	.	.	PUNCT
ejpam-4708	191	1	clearly	clearly	ADV
ejpam-4708	191	2	,	,	PUNCT
ejpam-4708	191	3	sx	sx	PROPN
ejpam-4708	191	4	is	be	AUX
ejpam-4708	191	5	continuous	continuous	ADJ
ejpam-4708	191	6	.	.	PUNCT
ejpam-4708	192	1	first	first	ADV
ejpam-4708	192	2	,	,	PUNCT
ejpam-4708	192	3	we	we	PRON
ejpam-4708	192	4	shall	shall	AUX
ejpam-4708	192	5	show	show	VERB
ejpam-4708	192	6	that	that	PRON
ejpam-4708	192	7	sa	sa	PROPN
ejpam-4708	192	8	⊂	⊂	PROPN
ejpam-4708	192	9	a.	a.	PROPN
ejpam-4708	192	10	for	for	ADP
ejpam-4708	192	11	every	every	DET
ejpam-4708	192	12	x	x	PROPN
ejpam-4708	192	13	∈	∈	PROPN
ejpam-4708	192	14	a	a	PRON
ejpam-4708	192	15	and	and	CCONJ
ejpam-4708	192	16	t	t	PROPN
ejpam-4708	192	17	≥	≥	NOUN
ejpam-4708	192	18	t1	t1	NOUN
ejpam-4708	192	19	,	,	PUNCT
ejpam-4708	192	20	by	by	ADP
ejpam-4708	192	21	using	use	VERB
ejpam-4708	192	22	(	(	PUNCT
ejpam-4708	192	23	15	15	NUM
ejpam-4708	192	24	)	)	PUNCT
ejpam-4708	192	25	,	,	PUNCT
ejpam-4708	192	26	we	we	PRON
ejpam-4708	192	27	have	have	VERB
ejpam-4708	192	28	(	(	PUNCT
ejpam-4708	192	29	sx)(t	sx)(t	PROPN
ejpam-4708	192	30	)	)	PUNCT
ejpam-4708	192	31	=	=	PRON
ejpam-4708	193	1	α+	α+	PUNCT
ejpam-4708	193	2	p(t)x(t−	p(t)x(t−	X
ejpam-4708	193	3	τ	τ	X
ejpam-4708	193	4	)	)	PUNCT
ejpam-4708	194	1	+	+	CCONJ
ejpam-4708	194	2	1	1	NUM
ejpam-4708	194	3	(	(	PUNCT
ejpam-4708	194	4	n−	n−	NOUN
ejpam-4708	194	5	2	2	NUM
ejpam-4708	194	6	)	)	PUNCT
ejpam-4708	194	7	!	!	PUNCT
ejpam-4708	195	1	∫	∫	PROPN
ejpam-4708	196	1	∞	∞	PROPN
ejpam-4708	196	2	t	t	PROPN
ejpam-4708	196	3	∫	∫	PROPN
ejpam-4708	196	4	s	s	PROPN
ejpam-4708	196	5	t1	t1	NOUN
ejpam-4708	196	6	(	(	PUNCT
ejpam-4708	196	7	s−	s−	PROPN
ejpam-4708	196	8	t)n−2	t)n−2	ADP
ejpam-4708	196	9	r(s	r(s	PROPN
ejpam-4708	196	10	)	)	PUNCT
ejpam-4708	196	11	[	[	X
ejpam-4708	196	12	f1(u	f1(u	X
ejpam-4708	196	13	,	,	PUNCT
ejpam-4708	196	14	x(σ1(u)))−	x(σ1(u)))−	PROPN
ejpam-4708	196	15	f2(u	f2(u	NOUN
ejpam-4708	196	16	,	,	PUNCT
ejpam-4708	196	17	x(σ2(u)))−	x(σ2(u)))−	PROPN
ejpam-4708	196	18	g(u)]duds	g(u)]duds	PROPN
ejpam-4708	196	19	≤	≤	ADV
ejpam-4708	196	20	α+	α+	PUNCT
ejpam-4708	196	21	1	1	NUM
ejpam-4708	196	22	(	(	PUNCT
ejpam-4708	196	23	n−	n−	NOUN
ejpam-4708	196	24	2	2	NUM
ejpam-4708	196	25	)	)	PUNCT
ejpam-4708	196	26	!	!	PUNCT
ejpam-4708	197	1	∫	∫	PROPN
ejpam-4708	198	1	∞	∞	PROPN
ejpam-4708	198	2	t1	t1	PROPN
ejpam-4708	198	3	∫	∫	PROPN
ejpam-4708	198	4	s	s	PART
ejpam-4708	198	5	t1	t1	NOUN
ejpam-4708	198	6	(	(	PUNCT
ejpam-4708	198	7	s−	s−	PROPN
ejpam-4708	198	8	t)n−2	t)n−2	ADP
ejpam-4708	198	9	r(s	r(s	PROPN
ejpam-4708	198	10	)	)	PUNCT
ejpam-4708	199	1	[	[	X
ejpam-4708	199	2	f1(u	f1(u	X
ejpam-4708	199	3	,	,	PUNCT
ejpam-4708	199	4	d	d	NOUN
ejpam-4708	199	5	)	)	PUNCT
ejpam-4708	200	1	+	+	NUM
ejpam-4708	200	2	|g(u)|]duds	|g(u)|]duds	PROPN
ejpam-4708	200	3	b.	b.	PROPN
ejpam-4708	200	4	çına	çına	PROPN
ejpam-4708	200	5	,	,	PUNCT
ejpam-4708	200	6	t.	t.	PROPN
ejpam-4708	200	7	candan	candan	PROPN
ejpam-4708	200	8	,	,	PUNCT
ejpam-4708	200	9	m.	m.	NOUN
ejpam-4708	200	10	tamer	tamer	AUX
ejpam-4708	200	11	şenel	şenel	PROPN
ejpam-4708	200	12	/	/	SYM
ejpam-4708	200	13	eur	eur	NOUN
ejpam-4708	200	14	.	.	PUNCT
ejpam-4708	201	1	j.	j.	PROPN
ejpam-4708	201	2	pure	pure	PROPN
ejpam-4708	201	3	appl	appl	PROPN
ejpam-4708	201	4	.	.	PROPN
ejpam-4708	201	5	math	math	PROPN
ejpam-4708	201	6	,	,	PUNCT
ejpam-4708	201	7	16	16	NUM
ejpam-4708	201	8	(	(	PUNCT
ejpam-4708	201	9	2	2	NUM
ejpam-4708	201	10	)	)	PUNCT
ejpam-4708	201	11	(	(	PUNCT
ejpam-4708	201	12	2023	2023	NUM
ejpam-4708	201	13	)	)	PUNCT
ejpam-4708	201	14	,	,	PUNCT
ejpam-4708	201	15	713	713	NUM
ejpam-4708	201	16	-	-	SYM
ejpam-4708	201	17	723	723	NUM
ejpam-4708	201	18	719	719	NUM
ejpam-4708	201	19	≤	≤	NUM
ejpam-4708	201	20	d	d	PROPN
ejpam-4708	201	21	and	and	CCONJ
ejpam-4708	201	22	applying	apply	VERB
ejpam-4708	201	23	(	(	PUNCT
ejpam-4708	201	24	16	16	NUM
ejpam-4708	201	25	)	)	PUNCT
ejpam-4708	202	1	,	,	PUNCT
ejpam-4708	202	2	we	we	PRON
ejpam-4708	202	3	have	have	VERB
ejpam-4708	202	4	(	(	PUNCT
ejpam-4708	202	5	sx)(t	sx)(t	PROPN
ejpam-4708	202	6	)	)	PUNCT
ejpam-4708	202	7	=	=	PRON
ejpam-4708	202	8	α+	α+	PUNCT
ejpam-4708	202	9	p(t)x(t−	p(t)x(t−	X
ejpam-4708	202	10	τ	τ	X
ejpam-4708	202	11	)	)	PUNCT
ejpam-4708	203	1	+	+	CCONJ
ejpam-4708	203	2	1	1	NUM
ejpam-4708	203	3	(	(	PUNCT
ejpam-4708	203	4	n−	n−	NOUN
ejpam-4708	203	5	2	2	NUM
ejpam-4708	203	6	)	)	PUNCT
ejpam-4708	203	7	!	!	PUNCT
ejpam-4708	204	1	∫	∫	PROPN
ejpam-4708	205	1	∞	∞	PROPN
ejpam-4708	205	2	t	t	PROPN
ejpam-4708	205	3	∫	∫	PROPN
ejpam-4708	205	4	s	s	PROPN
ejpam-4708	205	5	t1	t1	NOUN
ejpam-4708	205	6	(	(	PUNCT
ejpam-4708	205	7	s−	s−	PROPN
ejpam-4708	205	8	t)n−2	t)n−2	ADP
ejpam-4708	205	9	r(s	r(s	PROPN
ejpam-4708	205	10	)	)	PUNCT
ejpam-4708	205	11	[	[	X
ejpam-4708	205	12	f1(u	f1(u	X
ejpam-4708	205	13	,	,	PUNCT
ejpam-4708	205	14	x(σ1(u)))−	x(σ1(u)))−	PROPN
ejpam-4708	205	15	f2(u	f2(u	NOUN
ejpam-4708	205	16	,	,	PUNCT
ejpam-4708	205	17	x(σ2(u)))−	x(σ2(u)))−	NOUN
ejpam-4708	205	18	g(u)]duds	g(u)]duds	PROPN
ejpam-4708	205	19	≥	≥	VERB
ejpam-4708	205	20	α−	α−	ADP
ejpam-4708	205	21	pd−	pd−	NUM
ejpam-4708	205	22	1	1	NUM
ejpam-4708	205	23	(	(	PUNCT
ejpam-4708	205	24	n−	n−	NOUN
ejpam-4708	205	25	2	2	NUM
ejpam-4708	205	26	)	)	PUNCT
ejpam-4708	205	27	!	!	PUNCT
ejpam-4708	206	1	∫	∫	PROPN
ejpam-4708	207	1	∞	∞	PROPN
ejpam-4708	207	2	t1	t1	PROPN
ejpam-4708	207	3	∫	∫	PROPN
ejpam-4708	207	4	s	s	PART
ejpam-4708	207	5	t1	t1	NOUN
ejpam-4708	207	6	(	(	PUNCT
ejpam-4708	207	7	s−	s−	PROPN
ejpam-4708	207	8	t)n−2	t)n−2	ADP
ejpam-4708	207	9	r(s	r(s	PROPN
ejpam-4708	207	10	)	)	PUNCT
ejpam-4708	208	1	[	[	X
ejpam-4708	208	2	f2(u	f2(u	NOUN
ejpam-4708	208	3	,	,	PUNCT
ejpam-4708	208	4	d	d	NOUN
ejpam-4708	208	5	)	)	PUNCT
ejpam-4708	208	6	+	+	NUM
ejpam-4708	208	7	|g(u)|]duds	|g(u)|]duds	PROPN
ejpam-4708	208	8	≥	≥	NOUN
ejpam-4708	208	9	n3	n3	PROPN
ejpam-4708	208	10	.	.	PUNCT
ejpam-4708	209	1	hence	hence	ADV
ejpam-4708	209	2	,	,	PUNCT
ejpam-4708	209	3	sa	sa	PROPN
ejpam-4708	209	4	⊂	⊂	PROPN
ejpam-4708	209	5	a.	a.	NOUN
ejpam-4708	209	6	finally	finally	ADV
ejpam-4708	209	7	,	,	PUNCT
ejpam-4708	209	8	we	we	PRON
ejpam-4708	209	9	show	show	VERB
ejpam-4708	209	10	that	that	SCONJ
ejpam-4708	209	11	s	s	VERB
ejpam-4708	209	12	is	be	AUX
ejpam-4708	209	13	a	a	DET
ejpam-4708	209	14	contraction	contraction	NOUN
ejpam-4708	209	15	operator	operator	NOUN
ejpam-4708	209	16	on	on	ADP
ejpam-4708	209	17	a.	a.	NOUN
ejpam-4708	209	18	in	in	ADP
ejpam-4708	209	19	fact	fact	NOUN
ejpam-4708	209	20	,	,	PUNCT
ejpam-4708	209	21	for	for	ADP
ejpam-4708	209	22	x	x	X
ejpam-4708	209	23	,	,	PUNCT
ejpam-4708	209	24	y	y	PROPN
ejpam-4708	209	25	∈	∈	PROPN
ejpam-4708	209	26	a	a	PRON
ejpam-4708	209	27	and	and	CCONJ
ejpam-4708	209	28	t	t	PROPN
ejpam-4708	209	29	≥	≥	PROPN
ejpam-4708	209	30	t1	t1	PROPN
ejpam-4708	209	31	,	,	PUNCT
ejpam-4708	209	32	using	use	VERB
ejpam-4708	209	33	(	(	PUNCT
ejpam-4708	209	34	2	2	NUM
ejpam-4708	209	35	)	)	PUNCT
ejpam-4708	209	36	and	and	CCONJ
ejpam-4708	209	37	(	(	PUNCT
ejpam-4708	209	38	14	14	NUM
ejpam-4708	209	39	)	)	PUNCT
ejpam-4708	209	40	,	,	PUNCT
ejpam-4708	209	41	we	we	PRON
ejpam-4708	209	42	obtain	obtain	VERB
ejpam-4708	209	43	|(sx)(t)−	|(sx)(t)−	PROPN
ejpam-4708	209	44	(	(	PUNCT
ejpam-4708	209	45	sy)(t)|	sy)(t)|	PROPN
ejpam-4708	209	46	≤	≤	NUM
ejpam-4708	209	47	p|x(t−	p|x(t−	NOUN
ejpam-4708	210	1	τ)−	τ)−	PROPN
ejpam-4708	210	2	y(t−	y(t−	PROPN
ejpam-4708	210	3	τ)|	τ)|	NOUN
ejpam-4708	211	1	+	+	CCONJ
ejpam-4708	211	2	1	1	X
ejpam-4708	211	3	(	(	PUNCT
ejpam-4708	211	4	n−	n−	NOUN
ejpam-4708	211	5	2	2	NUM
ejpam-4708	211	6	)	)	PUNCT
ejpam-4708	211	7	!	!	PUNCT
ejpam-4708	212	1	2∑	2∑	NOUN
ejpam-4708	213	1	i=1	i=1	X
ejpam-4708	213	2	∫	∫	PROPN
ejpam-4708	214	1	∞	∞	PROPN
ejpam-4708	214	2	t	t	PROPN
ejpam-4708	214	3	(	(	PUNCT
ejpam-4708	214	4	s−	s−	PROPN
ejpam-4708	214	5	t)n−2	t)n−2	PRON
ejpam-4708	214	6	r(s	r(s	PROPN
ejpam-4708	214	7	)	)	PUNCT
ejpam-4708	214	8	∫	∫	PROPN
ejpam-4708	214	9	s	s	PART
ejpam-4708	214	10	t1	t1	NOUN
ejpam-4708	214	11	|fi(u	|fi(u	PROPN
ejpam-4708	214	12	,	,	PUNCT
ejpam-4708	214	13	x(σi(u)))−	x(σi(u)))−	PROPN
ejpam-4708	214	14	fi(u	fi(u	NOUN
ejpam-4708	214	15	,	,	PUNCT
ejpam-4708	214	16	y(σi(u)))|duds	y(σi(u)))|duds	PROPN
ejpam-4708	214	17	≤	≤	PROPN
ejpam-4708	215	1	p|x(t−	p|x(t−	PROPN
ejpam-4708	216	1	τ)−	τ)−	PROPN
ejpam-4708	216	2	y(t−	y(t−	PROPN
ejpam-4708	216	3	τ)|	τ)|	NOUN
ejpam-4708	217	1	+	+	CCONJ
ejpam-4708	217	2	1	1	X
ejpam-4708	217	3	(	(	PUNCT
ejpam-4708	217	4	n−	n−	NOUN
ejpam-4708	217	5	2	2	NUM
ejpam-4708	217	6	)	)	PUNCT
ejpam-4708	217	7	!	!	PUNCT
ejpam-4708	218	1	2∑	2∑	NOUN
ejpam-4708	219	1	i=1	i=1	NUM
ejpam-4708	219	2	∫	∫	PROPN
ejpam-4708	220	1	∞	∞	PROPN
ejpam-4708	220	2	t1	t1	NOUN
ejpam-4708	220	3	(	(	PUNCT
ejpam-4708	220	4	s−	s−	PROPN
ejpam-4708	220	5	t)n−2	t)n−2	ADP
ejpam-4708	220	6	r(s	r(s	PROPN
ejpam-4708	220	7	)	)	PUNCT
ejpam-4708	220	8	∫	∫	PROPN
ejpam-4708	220	9	s	s	PART
ejpam-4708	220	10	t1	t1	NOUN
ejpam-4708	220	11	qi(u)|x(σi(u))−	qi(u)|x(σi(u))−	NOUN
ejpam-4708	220	12	y(σi(u)))|duds	y(σi(u)))|duds	ADV
ejpam-4708	220	13	≤	≤	NOUN
ejpam-4708	221	1	∥x−	∥x−	PROPN
ejpam-4708	221	2	y∥	y∥	NOUN
ejpam-4708	221	3	[	[	PUNCT
ejpam-4708	221	4	p+	p+	NOUN
ejpam-4708	221	5	1	1	NUM
ejpam-4708	221	6	(	(	PUNCT
ejpam-4708	221	7	n−	n−	NOUN
ejpam-4708	221	8	2	2	NUM
ejpam-4708	221	9	)	)	PUNCT
ejpam-4708	221	10	!	!	PUNCT
ejpam-4708	222	1	2∑	2∑	NOUN
ejpam-4708	223	1	i=1	i=1	X
ejpam-4708	223	2	∫	∫	PROPN
ejpam-4708	224	1	∞	∞	PROPN
ejpam-4708	224	2	t1	t1	PROPN
ejpam-4708	224	3	∫	∫	PROPN
ejpam-4708	224	4	s	s	PART
ejpam-4708	224	5	t1	t1	NOUN
ejpam-4708	224	6	(	(	PUNCT
ejpam-4708	224	7	s−	s−	PROPN
ejpam-4708	224	8	t)n−2	t)n−2	ADP
ejpam-4708	224	9	r(s	r(	NOUN
ejpam-4708	224	10	)	)	PUNCT
ejpam-4708	224	11	qi(u)duds	qi(u)dud	NOUN
ejpam-4708	224	12	]	]	PUNCT
ejpam-4708	224	13	≤	≤	NUM
ejpam-4708	224	14	θ3∥x−	θ3∥x−	PROPN
ejpam-4708	224	15	y∥.	y∥.	VERB
ejpam-4708	224	16	this	this	PRON
ejpam-4708	224	17	implies	imply	VERB
ejpam-4708	224	18	that	that	SCONJ
ejpam-4708	224	19	∥sx−	∥sx−	PROPN
ejpam-4708	224	20	sy∥	sy∥	PROPN
ejpam-4708	224	21	≤	≤	ADV
ejpam-4708	224	22	θ3∥x−	θ3∥x−	PROPN
ejpam-4708	224	23	y∥.	y∥.	PROPN
ejpam-4708	224	24	since	since	SCONJ
ejpam-4708	224	25	θ3	θ3	NOUN
ejpam-4708	224	26	<	<	X
ejpam-4708	224	27	1	1	NUM
ejpam-4708	224	28	by	by	ADP
ejpam-4708	224	29	(	(	PUNCT
ejpam-4708	224	30	14	14	NUM
ejpam-4708	224	31	)	)	PUNCT
ejpam-4708	224	32	,	,	PUNCT
ejpam-4708	224	33	it	it	PRON
ejpam-4708	224	34	follows	follow	VERB
ejpam-4708	224	35	that	that	SCONJ
ejpam-4708	224	36	s	s	VERB
ejpam-4708	224	37	is	be	AUX
ejpam-4708	224	38	a	a	DET
ejpam-4708	224	39	contraction	contraction	NOUN
ejpam-4708	224	40	operator	operator	NOUN
ejpam-4708	224	41	on	on	ADP
ejpam-4708	224	42	a.	a.	NOUN
ejpam-4708	224	43	by	by	ADP
ejpam-4708	224	44	the	the	DET
ejpam-4708	224	45	banach	banach	NOUN
ejpam-4708	224	46	contraction	contraction	NOUN
ejpam-4708	224	47	mapping	mapping	NOUN
ejpam-4708	224	48	principle	principle	NOUN
ejpam-4708	224	49	,	,	PUNCT
ejpam-4708	224	50	s	s	AUX
ejpam-4708	224	51	has	have	VERB
ejpam-4708	224	52	a	a	DET
ejpam-4708	224	53	fixed	fix	VERB
ejpam-4708	224	54	point	point	NOUN
ejpam-4708	224	55	x	x	X
ejpam-4708	224	56	∈	∈	PROPN
ejpam-4708	224	57	a	a	PRON
ejpam-4708	224	58	,	,	PUNCT
ejpam-4708	224	59	which	which	PRON
ejpam-4708	224	60	is	be	AUX
ejpam-4708	224	61	obviously	obviously	ADV
ejpam-4708	224	62	a	a	DET
ejpam-4708	224	63	positive	positive	ADJ
ejpam-4708	224	64	solution	solution	NOUN
ejpam-4708	224	65	of	of	ADP
ejpam-4708	224	66	(	(	PUNCT
ejpam-4708	224	67	1	1	NUM
ejpam-4708	224	68	)	)	PUNCT
ejpam-4708	224	69	.	.	PUNCT
ejpam-4708	225	1	this	this	PRON
ejpam-4708	225	2	completes	complete	VERB
ejpam-4708	225	3	the	the	DET
ejpam-4708	225	4	proof	proof	NOUN
ejpam-4708	225	5	.	.	PUNCT
ejpam-4708	226	1	theorem	theorem	ADJ
ejpam-4708	226	2	4	4	NUM
ejpam-4708	226	3	.	.	PUNCT
ejpam-4708	226	4	assume	assume	VERB
ejpam-4708	226	5	that	that	SCONJ
ejpam-4708	226	6	(	(	PUNCT
ejpam-4708	226	7	3)-(5	3)-(5	NUM
ejpam-4708	226	8	)	)	PUNCT
ejpam-4708	226	9	hold	hold	NOUN
ejpam-4708	226	10	and	and	CCONJ
ejpam-4708	226	11	−∞	−∞	ADP
ejpam-4708	226	12	<	<	X
ejpam-4708	226	13	−p1	−p1	PROPN
ejpam-4708	226	14	≤	≤	ADJ
ejpam-4708	226	15	p(t	p(t	NOUN
ejpam-4708	226	16	)	)	PUNCT
ejpam-4708	226	17	≤	≤	PUNCT
ejpam-4708	227	1	−p2	−p2	PROPN
ejpam-4708	227	2	<	<	X
ejpam-4708	227	3	−1	−1	NOUN
ejpam-4708	227	4	.	.	PUNCT
ejpam-4708	228	1	then	then	ADV
ejpam-4708	228	2	(	(	PUNCT
ejpam-4708	228	3	1	1	X
ejpam-4708	228	4	)	)	PUNCT
ejpam-4708	228	5	has	have	VERB
ejpam-4708	228	6	a	a	DET
ejpam-4708	228	7	bounded	bound	VERB
ejpam-4708	228	8	nonoscillatory	nonoscillatory	ADJ
ejpam-4708	228	9	solution	solution	NOUN
ejpam-4708	228	10	.	.	PUNCT
ejpam-4708	229	1	proof	proof	NOUN
ejpam-4708	229	2	.	.	PUNCT
ejpam-4708	230	1	suppose	suppose	VERB
ejpam-4708	230	2	(	(	PUNCT
ejpam-4708	230	3	4	4	X
ejpam-4708	230	4	)	)	PUNCT
ejpam-4708	230	5	holds	hold	VERB
ejpam-4708	230	6	with	with	ADP
ejpam-4708	230	7	d	d	PROPN
ejpam-4708	230	8	>	>	X
ejpam-4708	230	9	0	0	PROPN
ejpam-4708	230	10	,	,	PUNCT
ejpam-4708	230	11	the	the	DET
ejpam-4708	230	12	case	case	NOUN
ejpam-4708	230	13	d	d	X
ejpam-4708	230	14	<	<	X
ejpam-4708	230	15	0	0	NUM
ejpam-4708	230	16	can	can	AUX
ejpam-4708	230	17	be	be	AUX
ejpam-4708	230	18	treated	treat	VERB
ejpam-4708	230	19	similarly	similarly	ADV
ejpam-4708	230	20	.	.	PUNCT
ejpam-4708	231	1	let	let	VERB
ejpam-4708	231	2	x	x	PRON
ejpam-4708	231	3	be	be	AUX
ejpam-4708	231	4	the	the	DET
ejpam-4708	231	5	set	set	NOUN
ejpam-4708	231	6	as	as	ADP
ejpam-4708	231	7	in	in	ADP
ejpam-4708	231	8	the	the	DET
ejpam-4708	231	9	proof	proof	NOUN
ejpam-4708	231	10	of	of	ADP
ejpam-4708	231	11	theorem	theorem	NOUN
ejpam-4708	231	12	1	1	NUM
ejpam-4708	231	13	.	.	PUNCT
ejpam-4708	231	14	set	set	VERB
ejpam-4708	231	15	a	a	DET
ejpam-4708	231	16	=	=	X
ejpam-4708	231	17	{	{	PUNCT
ejpam-4708	231	18	x	x	SYM
ejpam-4708	231	19	∈	∈	PROPN
ejpam-4708	231	20	x	x	X
ejpam-4708	231	21	:	:	PUNCT
ejpam-4708	231	22	n4	n4	PROPN
ejpam-4708	231	23	≤	≤	PUNCT
ejpam-4708	231	24	x(t	x(t	PROPN
ejpam-4708	231	25	)	)	PUNCT
ejpam-4708	232	1	≤	≤	NUM
ejpam-4708	233	1	d	d	X
ejpam-4708	233	2	,	,	PUNCT
ejpam-4708	233	3	t	t	PROPN
ejpam-4708	233	4	≥	≥	PROPN
ejpam-4708	233	5	t0	t0	PROPN
ejpam-4708	233	6	}	}	PUNCT
ejpam-4708	233	7	,	,	PUNCT
ejpam-4708	233	8	where	where	SCONJ
ejpam-4708	233	9	n4	n4	PROPN
ejpam-4708	233	10	is	be	AUX
ejpam-4708	233	11	a	a	DET
ejpam-4708	233	12	positive	positive	ADJ
ejpam-4708	233	13	constant	constant	ADJ
ejpam-4708	233	14	such	such	ADJ
ejpam-4708	233	15	that	that	SCONJ
ejpam-4708	233	16	p1n4	p1n4	VERB
ejpam-4708	234	1	+	+	CCONJ
ejpam-4708	234	2	d	d	X
ejpam-4708	234	3	<	<	X
ejpam-4708	234	4	p2d	p2d	NOUN
ejpam-4708	234	5	.	.	PUNCT
ejpam-4708	235	1	it	it	PRON
ejpam-4708	235	2	is	be	AUX
ejpam-4708	235	3	clear	clear	ADJ
ejpam-4708	235	4	that	that	SCONJ
ejpam-4708	235	5	a	a	PRON
ejpam-4708	235	6	is	be	AUX
ejpam-4708	235	7	a	a	DET
ejpam-4708	235	8	closed	closed	ADJ
ejpam-4708	235	9	,	,	PUNCT
ejpam-4708	235	10	bounded	bound	VERB
ejpam-4708	235	11	and	and	CCONJ
ejpam-4708	235	12	convex	convex	PROPN
ejpam-4708	235	13	subset	subset	NOUN
ejpam-4708	235	14	of	of	ADP
ejpam-4708	235	15	x.	x.	NOUN
ejpam-4708	235	16	by	by	ADP
ejpam-4708	235	17	(	(	PUNCT
ejpam-4708	235	18	3)-(5	3)-(5	NUM
ejpam-4708	235	19	)	)	PUNCT
ejpam-4708	235	20	,	,	PUNCT
ejpam-4708	235	21	we	we	PRON
ejpam-4708	235	22	can	can	AUX
ejpam-4708	235	23	choose	choose	VERB
ejpam-4708	235	24	a	a	DET
ejpam-4708	235	25	t1	t1	NOUN
ejpam-4708	235	26	>	>	X
ejpam-4708	235	27	t0	t0	PROPN
ejpam-4708	235	28	sufficiently	sufficiently	ADV
ejpam-4708	235	29	large	large	ADJ
ejpam-4708	235	30	such	such	ADJ
ejpam-4708	235	31	that	that	PRON
ejpam-4708	235	32	σ1(t+	σ1(t+	PROPN
ejpam-4708	235	33	τ	τ	PROPN
ejpam-4708	235	34	)	)	PUNCT
ejpam-4708	235	35	≥	≥	NOUN
ejpam-4708	235	36	t0	t0	NOUN
ejpam-4708	235	37	,	,	PUNCT
ejpam-4708	235	38	σ2(t+	σ2(t+	PROPN
ejpam-4708	235	39	τ	τ	PROPN
ejpam-4708	235	40	)	)	PUNCT
ejpam-4708	235	41	≥	≥	NUM
ejpam-4708	235	42	t0	t0	PROPN
ejpam-4708	235	43	for	for	ADP
ejpam-4708	235	44	t	t	PROPN
ejpam-4708	235	45	≥	≥	NOUN
ejpam-4708	235	46	t1	t1	NOUN
ejpam-4708	235	47	and	and	CCONJ
ejpam-4708	235	48	1	1	NUM
ejpam-4708	235	49	p2	p2	PROPN
ejpam-4708	235	50	[	[	PUNCT
ejpam-4708	235	51	1	1	NUM
ejpam-4708	235	52	+	+	NUM
ejpam-4708	235	53	2	2	NUM
ejpam-4708	235	54	(	(	PUNCT
ejpam-4708	235	55	n−	n−	NOUN
ejpam-4708	235	56	2	2	NUM
ejpam-4708	235	57	)	)	PUNCT
ejpam-4708	235	58	!	!	PUNCT
ejpam-4708	236	1	∫	∫	PROPN
ejpam-4708	237	1	∞	∞	PROPN
ejpam-4708	237	2	t1	t1	PROPN
ejpam-4708	237	3	∫	∫	PROPN
ejpam-4708	237	4	s	s	PART
ejpam-4708	237	5	t1	t1	NOUN
ejpam-4708	237	6	(	(	PUNCT
ejpam-4708	237	7	s−	s−	PROPN
ejpam-4708	237	8	t)n−2	t)n−2	ADP
ejpam-4708	237	9	r(s	r(	NOUN
ejpam-4708	237	10	)	)	PUNCT
ejpam-4708	237	11	qi(u)duds	qi(u)dud	NOUN
ejpam-4708	237	12	]	]	PUNCT
ejpam-4708	237	13	≤	≤	NUM
ejpam-4708	237	14	θ4	θ4	NOUN
ejpam-4708	237	15	<	<	X
ejpam-4708	237	16	1	1	NUM
ejpam-4708	237	17	,	,	PUNCT
ejpam-4708	237	18	i	i	PRON
ejpam-4708	237	19	=	=	NOUN
ejpam-4708	237	20	1	1	NUM
ejpam-4708	237	21	,	,	PUNCT
ejpam-4708	237	22	2	2	NUM
ejpam-4708	237	23	,	,	PUNCT
ejpam-4708	237	24	(	(	PUNCT
ejpam-4708	237	25	17	17	NUM
ejpam-4708	237	26	)	)	PUNCT
ejpam-4708	237	27	b.	b.	PROPN
ejpam-4708	237	28	çına	çına	PROPN
ejpam-4708	237	29	,	,	PUNCT
ejpam-4708	237	30	t.	t.	PROPN
ejpam-4708	237	31	candan	candan	PROPN
ejpam-4708	237	32	,	,	PUNCT
ejpam-4708	237	33	m.	m.	NOUN
ejpam-4708	237	34	tamer	tamer	AUX
ejpam-4708	237	35	şenel	şenel	PROPN
ejpam-4708	237	36	/	/	SYM
ejpam-4708	237	37	eur	eur	NOUN
ejpam-4708	237	38	.	.	PUNCT
ejpam-4708	238	1	j.	j.	PROPN
ejpam-4708	238	2	pure	pure	PROPN
ejpam-4708	238	3	appl	appl	PROPN
ejpam-4708	238	4	.	.	PROPN
ejpam-4708	238	5	math	math	PROPN
ejpam-4708	238	6	,	,	PUNCT
ejpam-4708	238	7	16	16	NUM
ejpam-4708	238	8	(	(	PUNCT
ejpam-4708	238	9	2	2	NUM
ejpam-4708	238	10	)	)	PUNCT
ejpam-4708	238	11	(	(	PUNCT
ejpam-4708	238	12	2023	2023	NUM
ejpam-4708	238	13	)	)	PUNCT
ejpam-4708	238	14	,	,	PUNCT
ejpam-4708	238	15	713	713	NUM
ejpam-4708	238	16	-	-	SYM
ejpam-4708	238	17	723	723	NUM
ejpam-4708	238	18	720	720	NUM
ejpam-4708	238	19	where	where	SCONJ
ejpam-4708	238	20	θ4	θ4	NOUN
ejpam-4708	238	21	is	be	AUX
ejpam-4708	238	22	a	a	DET
ejpam-4708	238	23	constant	constant	ADJ
ejpam-4708	238	24	,	,	PUNCT
ejpam-4708	238	25	1	1	NUM
ejpam-4708	238	26	(	(	PUNCT
ejpam-4708	238	27	n−	n−	NOUN
ejpam-4708	238	28	2	2	NUM
ejpam-4708	238	29	)	)	PUNCT
ejpam-4708	238	30	!	!	PUNCT
ejpam-4708	239	1	∫	∫	PROPN
ejpam-4708	240	1	∞	∞	PROPN
ejpam-4708	240	2	t1	t1	PROPN
ejpam-4708	240	3	∫	∫	PROPN
ejpam-4708	240	4	s	s	PART
ejpam-4708	240	5	t1	t1	NOUN
ejpam-4708	240	6	(	(	PUNCT
ejpam-4708	240	7	s−	s−	PROPN
ejpam-4708	240	8	t)n−2	t)n−2	ADP
ejpam-4708	240	9	r(s	r(s	PROPN
ejpam-4708	240	10	)	)	PUNCT
ejpam-4708	241	1	[	[	X
ejpam-4708	241	2	f1(u	f1(u	X
ejpam-4708	241	3	,	,	PUNCT
ejpam-4708	241	4	d	d	NOUN
ejpam-4708	241	5	)	)	PUNCT
ejpam-4708	242	1	+	+	NUM
ejpam-4708	242	2	|g(u)|]duds	|g(u)|]dud	NOUN
ejpam-4708	242	3	≤	≤	NOUN
ejpam-4708	242	4	p2d−	p2d−	NOUN
ejpam-4708	242	5	α	α	NOUN
ejpam-4708	242	6	(	(	PUNCT
ejpam-4708	242	7	18	18	NUM
ejpam-4708	242	8	)	)	PUNCT
ejpam-4708	242	9	and	and	CCONJ
ejpam-4708	242	10	1	1	NUM
ejpam-4708	242	11	(	(	PUNCT
ejpam-4708	242	12	n−	n−	NOUN
ejpam-4708	242	13	2	2	NUM
ejpam-4708	242	14	)	)	PUNCT
ejpam-4708	242	15	!	!	PUNCT
ejpam-4708	243	1	∫	∫	PROPN
ejpam-4708	244	1	∞	∞	PROPN
ejpam-4708	244	2	t1	t1	PROPN
ejpam-4708	244	3	∫	∫	PROPN
ejpam-4708	244	4	s	s	PART
ejpam-4708	244	5	t1	t1	NOUN
ejpam-4708	244	6	(	(	PUNCT
ejpam-4708	244	7	s−	s−	PROPN
ejpam-4708	244	8	t)n−2	t)n−2	ADP
ejpam-4708	244	9	r(s	r(s	PROPN
ejpam-4708	244	10	)	)	PUNCT
ejpam-4708	245	1	[	[	X
ejpam-4708	245	2	f2(u	f2(u	NOUN
ejpam-4708	245	3	,	,	PUNCT
ejpam-4708	245	4	d	d	NOUN
ejpam-4708	245	5	)	)	PUNCT
ejpam-4708	245	6	+	+	NUM
ejpam-4708	245	7	|g(u)|]duds	|g(u)|]dud	NOUN
ejpam-4708	245	8	≤	≤	NOUN
ejpam-4708	245	9	α−	α−	ADP
ejpam-4708	245	10	p1n4	p1n4	X
ejpam-4708	245	11	−	−	PROPN
ejpam-4708	245	12	d	d	PROPN
ejpam-4708	245	13	,	,	PUNCT
ejpam-4708	245	14	(	(	PUNCT
ejpam-4708	245	15	19	19	NUM
ejpam-4708	245	16	)	)	PUNCT
ejpam-4708	245	17	where	where	SCONJ
ejpam-4708	245	18	α	α	NOUN
ejpam-4708	245	19	is	be	AUX
ejpam-4708	245	20	a	a	DET
ejpam-4708	245	21	positive	positive	ADJ
ejpam-4708	245	22	constant	constant	ADJ
ejpam-4708	245	23	such	such	ADJ
ejpam-4708	245	24	that	that	SCONJ
ejpam-4708	245	25	p1n4	p1n4	VERB
ejpam-4708	246	1	+	+	CCONJ
ejpam-4708	246	2	d	d	X
ejpam-4708	246	3	<	<	X
ejpam-4708	246	4	α	α	X
ejpam-4708	246	5	<	<	X
ejpam-4708	246	6	p2d	p2d	NOUN
ejpam-4708	246	7	.	.	PUNCT
ejpam-4708	247	1	define	define	VERB
ejpam-4708	247	2	the	the	DET
ejpam-4708	247	3	operator	operator	NOUN
ejpam-4708	247	4	s	s	VERB
ejpam-4708	247	5	on	on	ADP
ejpam-4708	247	6	a	a	DET
ejpam-4708	247	7	by	by	ADP
ejpam-4708	247	8	(	(	PUNCT
ejpam-4708	247	9	sx)(t	sx)(t	PROPN
ejpam-4708	247	10	)	)	PUNCT
ejpam-4708	247	11	=	=	PUNCT
ejpam-4708	247	12			NOUN
ejpam-4708	247	13	−	−	NOUN
ejpam-4708	247	14	1	1	NUM
ejpam-4708	247	15	p(t+τ	p(t+τ	NOUN
ejpam-4708	247	16	)	)	PUNCT
ejpam-4708	248	1	[	[	PUNCT
ejpam-4708	248	2	α−	α−	ADP
ejpam-4708	248	3	x(t+	x(t+	PROPN
ejpam-4708	248	4	τ	τ	X
ejpam-4708	248	5	)	)	PUNCT
ejpam-4708	248	6	+	+	CCONJ
ejpam-4708	248	7	1	1	NUM
ejpam-4708	248	8	(	(	PUNCT
ejpam-4708	248	9	n−2	n−2	PROPN
ejpam-4708	248	10	)	)	PUNCT
ejpam-4708	248	11	!	!	PUNCT
ejpam-4708	249	1	∫∞	∫∞	NOUN
ejpam-4708	249	2	t+τ	t+τ	NUM
ejpam-4708	250	1	(	(	PUNCT
ejpam-4708	250	2	s−t−τ)n−2	s−t−τ)n−2	PROPN
ejpam-4708	250	3	r(s	r(s	PROPN
ejpam-4708	250	4	)	)	PUNCT
ejpam-4708	250	5	∫	∫	PROPN
ejpam-4708	250	6	s	s	PART
ejpam-4708	250	7	t1+τ	t1+τ	X
ejpam-4708	250	8	[	[	X
ejpam-4708	250	9	f1(u	f1(u	ADJ
ejpam-4708	250	10	,	,	PUNCT
ejpam-4708	250	11	x(σ1(u	x(σ1(u	NOUN
ejpam-4708	250	12	)	)	PUNCT
ejpam-4708	250	13	)	)	PUNCT
ejpam-4708	250	14	)	)	PUNCT
ejpam-4708	251	1	−f2(u	−f2(u	NOUN
ejpam-4708	251	2	,	,	PUNCT
ejpam-4708	251	3	x(σ2(u)))−	x(σ2(u)))−	NUM
ejpam-4708	252	1	g(u)]duds	g(u)]duds	PROPN
ejpam-4708	252	2	]	]	PUNCT
ejpam-4708	252	3	,	,	PUNCT
ejpam-4708	252	4	t	t	PROPN
ejpam-4708	252	5	≥	≥	PROPN
ejpam-4708	252	6	t1	t1	NOUN
ejpam-4708	252	7	(	(	PUNCT
ejpam-4708	252	8	sx)(t1	sx)(t1	PROPN
ejpam-4708	252	9	)	)	PUNCT
ejpam-4708	252	10	,	,	PUNCT
ejpam-4708	252	11	t0	t0	PROPN
ejpam-4708	252	12	≤	≤	PROPN
ejpam-4708	252	13	t	t	PROPN
ejpam-4708	252	14	≤	≤	NUM
ejpam-4708	252	15	t1	t1	PROPN
ejpam-4708	252	16	.	.	PUNCT
ejpam-4708	253	1	clearly	clearly	ADV
ejpam-4708	253	2	,	,	PUNCT
ejpam-4708	253	3	sx	sx	PROPN
ejpam-4708	253	4	is	be	AUX
ejpam-4708	253	5	continuous	continuous	ADJ
ejpam-4708	253	6	.	.	PUNCT
ejpam-4708	254	1	we	we	PRON
ejpam-4708	254	2	shall	shall	AUX
ejpam-4708	254	3	show	show	VERB
ejpam-4708	254	4	that	that	PRON
ejpam-4708	254	5	sa	sa	PROPN
ejpam-4708	254	6	⊂	⊂	PROPN
ejpam-4708	254	7	a.	a.	PROPN
ejpam-4708	254	8	for	for	ADP
ejpam-4708	254	9	each	each	DET
ejpam-4708	254	10	x	x	SYM
ejpam-4708	254	11	∈	∈	PROPN
ejpam-4708	254	12	a	a	PRON
ejpam-4708	254	13	and	and	CCONJ
ejpam-4708	254	14	t	t	PROPN
ejpam-4708	254	15	≥	≥	NOUN
ejpam-4708	254	16	t1	t1	NOUN
ejpam-4708	254	17	,	,	PUNCT
ejpam-4708	254	18	by	by	ADP
ejpam-4708	254	19	using	use	VERB
ejpam-4708	254	20	(	(	PUNCT
ejpam-4708	254	21	18	18	NUM
ejpam-4708	254	22	)	)	PUNCT
ejpam-4708	254	23	,	,	PUNCT
ejpam-4708	254	24	we	we	PRON
ejpam-4708	254	25	have	have	VERB
ejpam-4708	254	26	(	(	PUNCT
ejpam-4708	254	27	sx)(t	sx)(t	PROPN
ejpam-4708	254	28	)	)	PUNCT
ejpam-4708	254	29	=	=	SYM
ejpam-4708	255	1	−	−	PROPN
ejpam-4708	255	2	1	1	NUM
ejpam-4708	255	3	p(t+	p(t+	PROPN
ejpam-4708	255	4	τ	τ	NOUN
ejpam-4708	255	5	)	)	PUNCT
ejpam-4708	255	6	[	[	PUNCT
ejpam-4708	255	7	α−	α−	ADP
ejpam-4708	255	8	x(t+	x(t+	PROPN
ejpam-4708	255	9	τ	τ	X
ejpam-4708	255	10	)	)	PUNCT
ejpam-4708	255	11	+	+	CCONJ
ejpam-4708	255	12	1	1	NUM
ejpam-4708	255	13	(	(	PUNCT
ejpam-4708	255	14	n−	n−	NOUN
ejpam-4708	255	15	2	2	NUM
ejpam-4708	255	16	)	)	PUNCT
ejpam-4708	255	17	!	!	PUNCT
ejpam-4708	256	1	∫	∫	PROPN
ejpam-4708	257	1	∞	∞	PROPN
ejpam-4708	257	2	t+τ	t+τ	NUM
ejpam-4708	257	3	∫	∫	PROPN
ejpam-4708	257	4	s	s	PART
ejpam-4708	257	5	t1+τ	t1+τ	NOUN
ejpam-4708	257	6	(	(	PUNCT
ejpam-4708	257	7	s−	s−	PROPN
ejpam-4708	257	8	t−	t−	PROPN
ejpam-4708	257	9	τ)n−2	τ)n−2	PROPN
ejpam-4708	257	10	r(s	r(s	PROPN
ejpam-4708	257	11	)	)	PUNCT
ejpam-4708	258	1	[	[	X
ejpam-4708	258	2	f1(u	f1(u	X
ejpam-4708	258	3	,	,	PUNCT
ejpam-4708	258	4	x(σ1(u	x(σ1(u	NOUN
ejpam-4708	258	5	)	)	PUNCT
ejpam-4708	258	6	)	)	PUNCT
ejpam-4708	258	7	)	)	PUNCT
ejpam-4708	259	1	−	−	PROPN
ejpam-4708	259	2	f2(u	f2(u	PROPN
ejpam-4708	259	3	,	,	PUNCT
ejpam-4708	259	4	x(σ2(u)))−	x(σ2(u)))−	NOUN
ejpam-4708	260	1	g(u)]duds	g(u)]duds	PROPN
ejpam-4708	260	2	]	]	PUNCT
ejpam-4708	260	3	≤	≤	NUM
ejpam-4708	260	4	1	1	NUM
ejpam-4708	260	5	p2	p2	NOUN
ejpam-4708	260	6	[	[	PUNCT
ejpam-4708	260	7	α+	α+	NUM
ejpam-4708	260	8	1	1	NUM
ejpam-4708	260	9	(	(	PUNCT
ejpam-4708	260	10	n−	n−	NOUN
ejpam-4708	260	11	2	2	NUM
ejpam-4708	260	12	)	)	PUNCT
ejpam-4708	260	13	!	!	PUNCT
ejpam-4708	261	1	∫	∫	PROPN
ejpam-4708	262	1	∞	∞	PROPN
ejpam-4708	262	2	t1	t1	PROPN
ejpam-4708	262	3	∫	∫	PROPN
ejpam-4708	262	4	s	s	PART
ejpam-4708	262	5	t1	t1	NOUN
ejpam-4708	262	6	(	(	PUNCT
ejpam-4708	262	7	s−	s−	PROPN
ejpam-4708	262	8	t)n−2	t)n−2	ADP
ejpam-4708	262	9	r(s	r(s	PROPN
ejpam-4708	262	10	)	)	PUNCT
ejpam-4708	263	1	[	[	X
ejpam-4708	263	2	f1(u	f1(u	X
ejpam-4708	263	3	,	,	PUNCT
ejpam-4708	263	4	d	d	NOUN
ejpam-4708	263	5	)	)	PUNCT
ejpam-4708	264	1	+	+	NUM
ejpam-4708	264	2	|g(u)|]duds	|g(u)|]dud	NOUN
ejpam-4708	264	3	]	]	PUNCT
ejpam-4708	264	4	≤	≤	NUM
ejpam-4708	264	5	d	d	NOUN
ejpam-4708	264	6	and	and	CCONJ
ejpam-4708	264	7	applying	apply	VERB
ejpam-4708	264	8	(	(	PUNCT
ejpam-4708	264	9	19	19	NUM
ejpam-4708	264	10	)	)	PUNCT
ejpam-4708	264	11	,	,	PUNCT
ejpam-4708	264	12	we	we	PRON
ejpam-4708	264	13	obtain	obtain	VERB
ejpam-4708	264	14	(	(	PUNCT
ejpam-4708	264	15	sx)(t	sx)(t	PROPN
ejpam-4708	264	16	)	)	PUNCT
ejpam-4708	264	17	=	=	SYM
ejpam-4708	265	1	−	−	PROPN
ejpam-4708	265	2	1	1	NUM
ejpam-4708	265	3	p(t+	p(t+	PROPN
ejpam-4708	265	4	τ	τ	NOUN
ejpam-4708	265	5	)	)	PUNCT
ejpam-4708	265	6	[	[	PUNCT
ejpam-4708	265	7	α−	α−	ADP
ejpam-4708	265	8	x(t+	x(t+	PROPN
ejpam-4708	265	9	τ	τ	X
ejpam-4708	265	10	)	)	PUNCT
ejpam-4708	265	11	+	+	CCONJ
ejpam-4708	265	12	1	1	NUM
ejpam-4708	265	13	(	(	PUNCT
ejpam-4708	265	14	n−	n−	NOUN
ejpam-4708	265	15	2	2	NUM
ejpam-4708	265	16	)	)	PUNCT
ejpam-4708	265	17	!	!	PUNCT
ejpam-4708	266	1	∫	∫	PROPN
ejpam-4708	267	1	∞	∞	PROPN
ejpam-4708	267	2	t+τ	t+τ	NUM
ejpam-4708	267	3	∫	∫	PROPN
ejpam-4708	267	4	s	s	PART
ejpam-4708	267	5	t1+τ	t1+τ	NOUN
ejpam-4708	267	6	(	(	PUNCT
ejpam-4708	267	7	s−	s−	PROPN
ejpam-4708	267	8	t−	t−	PROPN
ejpam-4708	267	9	τ)n−2	τ)n−2	PROPN
ejpam-4708	267	10	r(s	r(s	PROPN
ejpam-4708	267	11	)	)	PUNCT
ejpam-4708	268	1	[	[	X
ejpam-4708	268	2	f1(u	f1(u	X
ejpam-4708	268	3	,	,	PUNCT
ejpam-4708	268	4	x(σ1(u	x(σ1(u	NOUN
ejpam-4708	268	5	)	)	PUNCT
ejpam-4708	268	6	)	)	PUNCT
ejpam-4708	268	7	)	)	PUNCT
ejpam-4708	269	1	−	−	PROPN
ejpam-4708	269	2	f2(u	f2(u	PROPN
ejpam-4708	269	3	,	,	PUNCT
ejpam-4708	269	4	x(σ2(u)))−	x(σ2(u)))−	NOUN
ejpam-4708	269	5	g(u)]duds	g(u)]duds	PROPN
ejpam-4708	269	6	]	]	PUNCT
ejpam-4708	269	7	≥	≥	PUNCT
ejpam-4708	270	1	−	−	NUM
ejpam-4708	270	2	1	1	NUM
ejpam-4708	270	3	p(t+	p(t+	PROPN
ejpam-4708	270	4	τ	τ	NOUN
ejpam-4708	270	5	)	)	PUNCT
ejpam-4708	270	6	[	[	PUNCT
ejpam-4708	270	7	α−	α−	ADP
ejpam-4708	270	8	d−	d−	PROPN
ejpam-4708	270	9	1	1	NUM
ejpam-4708	270	10	(	(	PUNCT
ejpam-4708	270	11	n−	n−	NOUN
ejpam-4708	270	12	2	2	NUM
ejpam-4708	270	13	)	)	PUNCT
ejpam-4708	270	14	!	!	PUNCT
ejpam-4708	271	1	∫	∫	PROPN
ejpam-4708	272	1	∞	∞	PROPN
ejpam-4708	273	1	t1+τ	t1+τ	PROPN
ejpam-4708	273	2	∫	∫	PROPN
ejpam-4708	273	3	s	s	PART
ejpam-4708	273	4	t1+τ	t1+τ	NOUN
ejpam-4708	273	5	(	(	PUNCT
ejpam-4708	273	6	s−	s−	PROPN
ejpam-4708	273	7	t−	t−	PROPN
ejpam-4708	273	8	τ)n−2	τ)n−2	PROPN
ejpam-4708	273	9	r(s	r(s	PROPN
ejpam-4708	273	10	)	)	PUNCT
ejpam-4708	274	1	[	[	X
ejpam-4708	274	2	f2(u	f2(u	NOUN
ejpam-4708	274	3	,	,	PUNCT
ejpam-4708	274	4	d	d	NOUN
ejpam-4708	274	5	)	)	PUNCT
ejpam-4708	275	1	+	+	NUM
ejpam-4708	275	2	|g(u)|]duds	|g(u)|]dud	NOUN
ejpam-4708	275	3	]	]	PUNCT
ejpam-4708	275	4	≥	≥	NUM
ejpam-4708	275	5	1	1	NUM
ejpam-4708	275	6	p1	p1	PROPN
ejpam-4708	275	7	[	[	PUNCT
ejpam-4708	275	8	α−	α−	ADP
ejpam-4708	275	9	d−	d−	PROPN
ejpam-4708	275	10	1	1	NUM
ejpam-4708	275	11	(	(	PUNCT
ejpam-4708	275	12	n−	n−	NOUN
ejpam-4708	275	13	2	2	NUM
ejpam-4708	275	14	)	)	PUNCT
ejpam-4708	275	15	!	!	PUNCT
ejpam-4708	276	1	∫	∫	PROPN
ejpam-4708	277	1	∞	∞	PROPN
ejpam-4708	277	2	t1	t1	PROPN
ejpam-4708	277	3	∫	∫	PROPN
ejpam-4708	277	4	s	s	PART
ejpam-4708	277	5	t1	t1	NOUN
ejpam-4708	277	6	(	(	PUNCT
ejpam-4708	277	7	s−	s−	PROPN
ejpam-4708	277	8	t)n−2	t)n−2	ADP
ejpam-4708	277	9	r(s	r(s	PROPN
ejpam-4708	277	10	)	)	PUNCT
ejpam-4708	278	1	[	[	X
ejpam-4708	278	2	f2(u	f2(u	NOUN
ejpam-4708	278	3	,	,	PUNCT
ejpam-4708	278	4	d	d	NOUN
ejpam-4708	278	5	)	)	PUNCT
ejpam-4708	279	1	+	+	NUM
ejpam-4708	279	2	|g(u)|]duds	|g(u)|]dud	NOUN
ejpam-4708	279	3	]	]	PUNCT
ejpam-4708	279	4	≥	≥	PROPN
ejpam-4708	279	5	n4	n4	PROPN
ejpam-4708	279	6	.	.	PUNCT
ejpam-4708	280	1	hence	hence	ADV
ejpam-4708	280	2	,	,	PUNCT
ejpam-4708	280	3	we	we	PRON
ejpam-4708	280	4	proved	prove	VERB
ejpam-4708	280	5	that	that	SCONJ
ejpam-4708	280	6	sa	sa	PROPN
ejpam-4708	280	7	⊂	⊂	PROPN
ejpam-4708	280	8	a.	a.	NOUN
ejpam-4708	281	1	now	now	ADV
ejpam-4708	281	2	we	we	PRON
ejpam-4708	281	3	shall	shall	AUX
ejpam-4708	281	4	show	show	VERB
ejpam-4708	281	5	that	that	SCONJ
ejpam-4708	281	6	s	s	VERB
ejpam-4708	281	7	is	be	AUX
ejpam-4708	281	8	a	a	DET
ejpam-4708	281	9	contraction	contraction	NOUN
ejpam-4708	281	10	operator	operator	NOUN
ejpam-4708	281	11	on	on	ADP
ejpam-4708	281	12	a.	a.	NOUN
ejpam-4708	281	13	in	in	ADP
ejpam-4708	281	14	fact	fact	NOUN
ejpam-4708	281	15	,	,	PUNCT
ejpam-4708	281	16	for	for	ADP
ejpam-4708	281	17	x	x	X
ejpam-4708	281	18	,	,	PUNCT
ejpam-4708	281	19	y	y	PROPN
ejpam-4708	281	20	∈	∈	PROPN
ejpam-4708	281	21	a	a	PRON
ejpam-4708	281	22	and	and	CCONJ
ejpam-4708	281	23	t	t	PROPN
ejpam-4708	281	24	≥	≥	NOUN
ejpam-4708	281	25	t1	t1	NOUN
ejpam-4708	281	26	,	,	PUNCT
ejpam-4708	281	27	in	in	ADP
ejpam-4708	281	28	view	view	NOUN
ejpam-4708	281	29	of	of	ADP
ejpam-4708	281	30	(	(	PUNCT
ejpam-4708	281	31	2	2	NUM
ejpam-4708	281	32	)	)	PUNCT
ejpam-4708	281	33	and	and	CCONJ
ejpam-4708	281	34	(	(	PUNCT
ejpam-4708	281	35	17	17	NUM
ejpam-4708	281	36	)	)	PUNCT
ejpam-4708	281	37	,	,	PUNCT
ejpam-4708	281	38	we	we	PRON
ejpam-4708	281	39	have	have	VERB
ejpam-4708	281	40	|(sx)(t)−	|(sx)(t)−	PROPN
ejpam-4708	281	41	(	(	PUNCT
ejpam-4708	281	42	sy)(t)|	sy)(t)|	NUM
ejpam-4708	281	43	≤	≤	NUM
ejpam-4708	281	44	1	1	NUM
ejpam-4708	281	45	|p(t+	|p(t+	NOUN
ejpam-4708	281	46	τ)|	τ)|	NOUN
ejpam-4708	282	1	[	[	PUNCT
ejpam-4708	282	2	|x(t+	|x(t+	PROPN
ejpam-4708	282	3	τ)−	τ)−	PROPN
ejpam-4708	282	4	y(t+	y(t+	PROPN
ejpam-4708	282	5	τ)|	τ)|	PROPN
ejpam-4708	282	6	b.	b.	PROPN
ejpam-4708	282	7	çına	çına	PROPN
ejpam-4708	282	8	,	,	PUNCT
ejpam-4708	282	9	t.	t.	PROPN
ejpam-4708	282	10	candan	candan	PROPN
ejpam-4708	282	11	,	,	PUNCT
ejpam-4708	282	12	m.	m.	NOUN
ejpam-4708	282	13	tamer	tamer	AUX
ejpam-4708	282	14	şenel	şenel	PROPN
ejpam-4708	282	15	/	/	SYM
ejpam-4708	282	16	eur	eur	NOUN
ejpam-4708	282	17	.	.	PUNCT
ejpam-4708	283	1	j.	j.	PROPN
ejpam-4708	283	2	pure	pure	PROPN
ejpam-4708	283	3	appl	appl	PROPN
ejpam-4708	283	4	.	.	PROPN
ejpam-4708	283	5	math	math	PROPN
ejpam-4708	283	6	,	,	PUNCT
ejpam-4708	283	7	16	16	NUM
ejpam-4708	283	8	(	(	PUNCT
ejpam-4708	283	9	2	2	NUM
ejpam-4708	283	10	)	)	PUNCT
ejpam-4708	283	11	(	(	PUNCT
ejpam-4708	283	12	2023	2023	NUM
ejpam-4708	283	13	)	)	PUNCT
ejpam-4708	283	14	,	,	PUNCT
ejpam-4708	283	15	713	713	NUM
ejpam-4708	283	16	-	-	SYM
ejpam-4708	283	17	723	723	NUM
ejpam-4708	283	18	721	721	NUM
ejpam-4708	283	19	+	+	CCONJ
ejpam-4708	283	20	1	1	NUM
ejpam-4708	283	21	(	(	PUNCT
ejpam-4708	283	22	n−	n−	NOUN
ejpam-4708	283	23	2	2	NUM
ejpam-4708	283	24	)	)	PUNCT
ejpam-4708	283	25	!	!	PUNCT
ejpam-4708	284	1	2∑	2∑	NOUN
ejpam-4708	285	1	i=1	i=1	X
ejpam-4708	285	2	∫	∫	PROPN
ejpam-4708	285	3	∞	∞	NUM
ejpam-4708	285	4	t+τ	t+τ	NUM
ejpam-4708	285	5	(	(	PUNCT
ejpam-4708	285	6	s−	s−	PROPN
ejpam-4708	285	7	t−	t−	PROPN
ejpam-4708	285	8	τ)n−2	τ)n−2	PROPN
ejpam-4708	285	9	r(s	r(s	PROPN
ejpam-4708	285	10	)	)	PUNCT
ejpam-4708	285	11	∫	∫	PROPN
ejpam-4708	285	12	s	s	PART
ejpam-4708	285	13	t1+τ	t1+τ	NOUN
ejpam-4708	285	14	|fi(u	|fi(u	NOUN
ejpam-4708	285	15	,	,	PUNCT
ejpam-4708	285	16	x(σi(u)))−	x(σi(u)))−	PROPN
ejpam-4708	285	17	fi(u	fi(u	NOUN
ejpam-4708	285	18	,	,	PUNCT
ejpam-4708	285	19	y(σi(u)))|duds	y(σi(u)))|duds	NOUN
ejpam-4708	285	20	]	]	PUNCT
ejpam-4708	285	21	≤	≤	PUNCT
ejpam-4708	286	1	∥x−	∥x−	NUM
ejpam-4708	286	2	y∥	y∥	NOUN
ejpam-4708	286	3	p2	p2	PROPN
ejpam-4708	286	4	[	[	PUNCT
ejpam-4708	286	5	1	1	NUM
ejpam-4708	286	6	+	+	NUM
ejpam-4708	286	7	1	1	NUM
ejpam-4708	286	8	(	(	PUNCT
ejpam-4708	286	9	n−	n−	NOUN
ejpam-4708	286	10	2	2	NUM
ejpam-4708	286	11	)	)	PUNCT
ejpam-4708	286	12	!	!	PUNCT
ejpam-4708	287	1	2∑	2∑	NOUN
ejpam-4708	288	1	i=1	i=1	X
ejpam-4708	288	2	∫	∫	PROPN
ejpam-4708	289	1	∞	∞	PROPN
ejpam-4708	289	2	t1	t1	PROPN
ejpam-4708	289	3	∫	∫	PROPN
ejpam-4708	289	4	s	s	PART
ejpam-4708	289	5	t1	t1	NOUN
ejpam-4708	289	6	(	(	PUNCT
ejpam-4708	289	7	s−	s−	PROPN
ejpam-4708	289	8	t)n−2	t)n−2	ADP
ejpam-4708	289	9	r(s	r(	NOUN
ejpam-4708	289	10	)	)	PUNCT
ejpam-4708	289	11	qi(u)duds	qi(u)dud	NOUN
ejpam-4708	289	12	]	]	PUNCT
ejpam-4708	289	13	≤	≤	X
ejpam-4708	289	14	θ4∥x−	θ4∥x−	PROPN
ejpam-4708	289	15	y∥.	y∥.	PROPN
ejpam-4708	289	16	this	this	PRON
ejpam-4708	289	17	implies	imply	VERB
ejpam-4708	289	18	that	that	SCONJ
ejpam-4708	289	19	∥sx−	∥sx−	PROPN
ejpam-4708	289	20	sy∥	sy∥	PROPN
ejpam-4708	289	21	≤	≤	ADV
ejpam-4708	289	22	θ4∥x−	θ4∥x−	PROPN
ejpam-4708	289	23	y∥.	y∥.	PROPN
ejpam-4708	289	24	since	since	SCONJ
ejpam-4708	289	25	θ4	θ4	NOUN
ejpam-4708	289	26	<	<	X
ejpam-4708	289	27	1	1	NUM
ejpam-4708	289	28	by	by	ADP
ejpam-4708	289	29	(	(	PUNCT
ejpam-4708	289	30	17	17	NUM
ejpam-4708	289	31	)	)	PUNCT
ejpam-4708	289	32	,	,	PUNCT
ejpam-4708	289	33	s	s	VERB
ejpam-4708	289	34	is	be	AUX
ejpam-4708	289	35	a	a	DET
ejpam-4708	289	36	contraction	contraction	NOUN
ejpam-4708	289	37	operator	operator	NOUN
ejpam-4708	289	38	on	on	ADP
ejpam-4708	289	39	a.	a.	NOUN
ejpam-4708	289	40	by	by	ADP
ejpam-4708	289	41	the	the	DET
ejpam-4708	289	42	banach	banach	NOUN
ejpam-4708	289	43	contraction	contraction	NOUN
ejpam-4708	289	44	mapping	mapping	NOUN
ejpam-4708	289	45	principle	principle	NOUN
ejpam-4708	289	46	,	,	PUNCT
ejpam-4708	289	47	s	s	AUX
ejpam-4708	289	48	has	have	VERB
ejpam-4708	289	49	a	a	DET
ejpam-4708	289	50	fixed	fix	VERB
ejpam-4708	289	51	point	point	NOUN
ejpam-4708	289	52	x	x	X
ejpam-4708	289	53	∈	∈	PROPN
ejpam-4708	289	54	a	a	PRON
ejpam-4708	289	55	,	,	PUNCT
ejpam-4708	289	56	and	and	CCONJ
ejpam-4708	289	57	x	x	X
ejpam-4708	289	58	is	be	AUX
ejpam-4708	289	59	a	a	DET
ejpam-4708	289	60	positive	positive	ADJ
ejpam-4708	289	61	solution	solution	NOUN
ejpam-4708	289	62	of	of	ADP
ejpam-4708	289	63	(	(	PUNCT
ejpam-4708	289	64	1	1	NUM
ejpam-4708	289	65	)	)	PUNCT
ejpam-4708	289	66	.	.	PUNCT
ejpam-4708	290	1	thus	thus	ADV
ejpam-4708	290	2	,	,	PUNCT
ejpam-4708	290	3	the	the	DET
ejpam-4708	290	4	proof	proof	NOUN
ejpam-4708	290	5	is	be	AUX
ejpam-4708	290	6	completed	complete	VERB
ejpam-4708	290	7	.	.	PUNCT
ejpam-4708	291	1	example	example	NOUN
ejpam-4708	291	2	1	1	X
ejpam-4708	291	3	.	.	X
ejpam-4708	292	1	consider	consider	VERB
ejpam-4708	292	2	the	the	DET
ejpam-4708	292	3	equation	equation	NOUN
ejpam-4708	292	4	(	(	PUNCT
ejpam-4708	292	5	et(x(t)−	et(x(t)−	PROPN
ejpam-4708	292	6	e−t−4x(t−	e−t−4x(t−	PROPN
ejpam-4708	292	7	4))′′′)′	4))′′′)′	PROPN
ejpam-4708	293	1	+	+	CCONJ
ejpam-4708	293	2	e−t−5x(t−	e−t−5x(t−	ADJ
ejpam-4708	293	3	5	5	NUM
ejpam-4708	293	4	)	)	PUNCT
ejpam-4708	293	5	−e−t−6x3(t−	−e−t−6x3(t−	PROPN
ejpam-4708	293	6	2)−	2)−	NUM
ejpam-4708	293	7	e−2	e−2	PROPN
ejpam-4708	293	8	t	t	PROPN
ejpam-4708	293	9	+	+	NOUN
ejpam-4708	293	10	e−4	e−4	PROPN
ejpam-4708	293	11	t	t	NOUN
ejpam-4708	293	12	+	+	NOUN
ejpam-4708	293	13	8e−t	8e−t	NOUN
ejpam-4708	293	14	=	=	SYM
ejpam-4708	293	15	0	0	NUM
ejpam-4708	293	16	,	,	PUNCT
ejpam-4708	293	17	t0	t0	X
ejpam-4708	293	18	>	>	X
ejpam-4708	293	19	5	5	NUM
ejpam-4708	293	20	,	,	PUNCT
ejpam-4708	293	21	(	(	PUNCT
ejpam-4708	293	22	20	20	NUM
ejpam-4708	293	23	)	)	PUNCT
ejpam-4708	293	24	where	where	SCONJ
ejpam-4708	293	25	n	n	NOUN
ejpam-4708	293	26	=	=	SYM
ejpam-4708	293	27	4	4	NUM
ejpam-4708	293	28	,	,	PUNCT
ejpam-4708	293	29	r(t	r(t	NOUN
ejpam-4708	293	30	)	)	PUNCT
ejpam-4708	293	31	=	=	SYM
ejpam-4708	293	32	et	et	NOUN
ejpam-4708	293	33	,	,	PUNCT
ejpam-4708	293	34	p(t	p(t	NOUN
ejpam-4708	293	35	)	)	PUNCT
ejpam-4708	293	36	=	=	SYM
ejpam-4708	294	1	e−t−4	e−t−4	PROPN
ejpam-4708	294	2	,	,	PUNCT
ejpam-4708	294	3	τ	τ	X
ejpam-4708	294	4	=	=	SYM
ejpam-4708	294	5	4	4	NUM
ejpam-4708	294	6	,	,	PUNCT
ejpam-4708	294	7	σ1(t	σ1(t	NUM
ejpam-4708	294	8	)	)	PUNCT
ejpam-4708	294	9	=	=	SYM
ejpam-4708	294	10	t−5	t−5	ADJ
ejpam-4708	294	11	,	,	PUNCT
ejpam-4708	294	12	σ2(t	σ2(t	PROPN
ejpam-4708	294	13	)	)	PUNCT
ejpam-4708	294	14	=	=	SYM
ejpam-4708	294	15	t−2	t−2	PROPN
ejpam-4708	294	16	,	,	PUNCT
ejpam-4708	294	17	f1(t	f1(t	PROPN
ejpam-4708	294	18	,	,	PUNCT
ejpam-4708	294	19	x	x	NOUN
ejpam-4708	294	20	)	)	PUNCT
ejpam-4708	294	21	=	=	SYM
ejpam-4708	294	22	e−t−5x	e−t−5x	ADJ
ejpam-4708	294	23	,	,	PUNCT
ejpam-4708	294	24	f2(t	f2(t	PROPN
ejpam-4708	294	25	,	,	PUNCT
ejpam-4708	294	26	x	x	NOUN
ejpam-4708	294	27	)	)	PUNCT
ejpam-4708	294	28	=	=	SYM
ejpam-4708	294	29	e−t−6x3	e−t−6x3	PROPN
ejpam-4708	294	30	and	and	CCONJ
ejpam-4708	294	31	g(t	g(t	PROPN
ejpam-4708	294	32	)	)	PUNCT
ejpam-4708	294	33	=	=	PUNCT
ejpam-4708	295	1	e−2	e−2	PROPN
ejpam-4708	295	2	t	t	NOUN
ejpam-4708	295	3	−	−	PROPN
ejpam-4708	295	4	e−4	e−4	PROPN
ejpam-4708	295	5	t	t	PROPN
ejpam-4708	295	6	−	−	PROPN
ejpam-4708	295	7	8e−t	8e−t	NOUN
ejpam-4708	295	8	.	.	PUNCT
ejpam-4708	296	1	thus	thus	ADV
ejpam-4708	296	2	,	,	PUNCT
ejpam-4708	296	3	|f1(t	|f1(t	PRON
ejpam-4708	296	4	,	,	PUNCT
ejpam-4708	296	5	x)−	x)−	PROPN
ejpam-4708	296	6	f1(t	f1(t	PROPN
ejpam-4708	296	7	,	,	PUNCT
ejpam-4708	296	8	y)|	y)|	NOUN
ejpam-4708	296	9	=	=	NOUN
ejpam-4708	296	10	|e−t−5x−	|e−t−5x−	PUNCT
ejpam-4708	296	11	e−t−5y|	e−t−5y|	PROPN
ejpam-4708	296	12	=	=	SYM
ejpam-4708	297	1	e−t−5|x−	e−t−5|x−	PROPN
ejpam-4708	297	2	y|	y|	NOUN
ejpam-4708	297	3	,	,	PUNCT
ejpam-4708	297	4	where	where	SCONJ
ejpam-4708	297	5	x	x	X
ejpam-4708	297	6	,	,	PUNCT
ejpam-4708	297	7	y	y	PROPN
ejpam-4708	297	8	∈	∈	PROPN
ejpam-4708	298	1	[	[	X
ejpam-4708	298	2	a	a	X
ejpam-4708	298	3	,	,	PUNCT
ejpam-4708	298	4	b	b	NOUN
ejpam-4708	298	5	]	]	X
ejpam-4708	298	6	,	,	PUNCT
ejpam-4708	298	7	a	a	PRON
ejpam-4708	298	8	>	>	X
ejpam-4708	298	9	0	0	NUM
ejpam-4708	298	10	,	,	PUNCT
ejpam-4708	298	11	|f2(t	|f2(t	PROPN
ejpam-4708	298	12	,	,	PUNCT
ejpam-4708	298	13	x)−	x)−	PROPN
ejpam-4708	298	14	f2(t	f2(t	PROPN
ejpam-4708	298	15	,	,	PUNCT
ejpam-4708	298	16	y)|	y)|	NOUN
ejpam-4708	298	17	=	=	PUNCT
ejpam-4708	298	18	|e−t−6x3	|e−t−6x3	ADJ
ejpam-4708	298	19	−	−	PRON
ejpam-4708	299	1	e−t−6y3|	e−t−6y3|	PROPN
ejpam-4708	299	2	=	=	SYM
ejpam-4708	299	3	e−t−6|x2	e−t−6|x2	PROPN
ejpam-4708	299	4	+	+	CCONJ
ejpam-4708	299	5	xy	xy	PROPN
ejpam-4708	300	1	+	+	CCONJ
ejpam-4708	300	2	y2||x−	y2||x−	X
ejpam-4708	300	3	y|	y|	NOUN
ejpam-4708	300	4	≤	≤	NUM
ejpam-4708	300	5	3b2e−t−6|x−	3b2e−t−6|x−	NUM
ejpam-4708	300	6	y|	y|	NOUN
ejpam-4708	300	7	,	,	PUNCT
ejpam-4708	300	8	where	where	SCONJ
ejpam-4708	300	9	x	x	X
ejpam-4708	300	10	,	,	PUNCT
ejpam-4708	300	11	y	y	PROPN
ejpam-4708	300	12	∈	∈	PROPN
ejpam-4708	301	1	[	[	X
ejpam-4708	301	2	a	a	X
ejpam-4708	301	3	,	,	PUNCT
ejpam-4708	301	4	b	b	NOUN
ejpam-4708	301	5	]	]	X
ejpam-4708	301	6	,	,	PUNCT
ejpam-4708	301	7	a	a	PRON
ejpam-4708	301	8	>	>	X
ejpam-4708	301	9	0	0	X
ejpam-4708	301	10	.	.	PUNCT
ejpam-4708	301	11	letting	let	VERB
ejpam-4708	301	12	q1(t	q1(t	PART
ejpam-4708	301	13	)	)	PUNCT
ejpam-4708	301	14	=	=	SYM
ejpam-4708	301	15	e−t−5	e−t−5	ADJ
ejpam-4708	301	16	and	and	CCONJ
ejpam-4708	301	17	q2(t	q2(t	NOUN
ejpam-4708	301	18	)	)	PUNCT
ejpam-4708	301	19	=	=	SYM
ejpam-4708	301	20	3b2e−t−6	3b2e−t−6	NUM
ejpam-4708	301	21	,	,	PUNCT
ejpam-4708	301	22	then	then	ADV
ejpam-4708	301	23	1	1	NUM
ejpam-4708	301	24	(	(	PUNCT
ejpam-4708	301	25	n−	n−	NOUN
ejpam-4708	301	26	2	2	NUM
ejpam-4708	301	27	)	)	PUNCT
ejpam-4708	301	28	!	!	PUNCT
ejpam-4708	302	1	∫	∫	PROPN
ejpam-4708	303	1	∞	∞	PROPN
ejpam-4708	303	2	t0	t0	PROPN
ejpam-4708	303	3	∫	∫	PROPN
ejpam-4708	303	4	s	s	PART
ejpam-4708	303	5	t0	t0	PROPN
ejpam-4708	303	6	sn−2	sn−2	ADP
ejpam-4708	303	7	r(s	r(s	PROPN
ejpam-4708	303	8	)	)	PUNCT
ejpam-4708	303	9	q1(u)duds	q1(u)duds	PUNCT
ejpam-4708	303	10	=	=	NOUN
ejpam-4708	303	11	1	1	NUM
ejpam-4708	303	12	2	2	NUM
ejpam-4708	303	13	!	!	PUNCT
ejpam-4708	303	14	∫	∫	PROPN
ejpam-4708	304	1	∞	∞	PROPN
ejpam-4708	304	2	t0	t0	PROPN
ejpam-4708	304	3	∫	∫	PROPN
ejpam-4708	304	4	s	s	PART
ejpam-4708	304	5	t0	t0	PROPN
ejpam-4708	304	6	s2	s2	NOUN
ejpam-4708	304	7	es	es	NOUN
ejpam-4708	304	8	e−u−5duds	e−u−5dud	NOUN
ejpam-4708	304	9	<	<	X
ejpam-4708	304	10	∞	∞	NUM
ejpam-4708	304	11	and	and	CCONJ
ejpam-4708	304	12	1	1	NUM
ejpam-4708	304	13	(	(	PUNCT
ejpam-4708	304	14	n−	n−	NOUN
ejpam-4708	304	15	2	2	NUM
ejpam-4708	304	16	)	)	PUNCT
ejpam-4708	304	17	!	!	PUNCT
ejpam-4708	305	1	∫	∫	PROPN
ejpam-4708	306	1	∞	∞	PROPN
ejpam-4708	306	2	t0	t0	PROPN
ejpam-4708	306	3	∫	∫	PROPN
ejpam-4708	306	4	s	s	PART
ejpam-4708	306	5	t0	t0	PROPN
ejpam-4708	306	6	sn−2	sn−2	ADP
ejpam-4708	306	7	r(s	r(s	PROPN
ejpam-4708	306	8	)	)	PUNCT
ejpam-4708	306	9	q2(u)duds	q2(u)dud	NOUN
ejpam-4708	306	10	=	=	SYM
ejpam-4708	306	11	1	1	NUM
ejpam-4708	306	12	2	2	NUM
ejpam-4708	306	13	!	!	PUNCT
ejpam-4708	306	14	∫	∫	PROPN
ejpam-4708	307	1	∞	∞	PROPN
ejpam-4708	307	2	t0	t0	PROPN
ejpam-4708	307	3	∫	∫	PROPN
ejpam-4708	307	4	s	s	PART
ejpam-4708	307	5	t0	t0	PROPN
ejpam-4708	307	6	s2	s2	NOUN
ejpam-4708	307	7	es	es	ADP
ejpam-4708	307	8	3b2e−u−6duds	3b2e−u−6duds	PROPN
ejpam-4708	307	9	<	<	X
ejpam-4708	307	10	∞.	∞.	PROPN
ejpam-4708	307	11	furthermore	furthermore	ADV
ejpam-4708	307	12	,	,	PUNCT
ejpam-4708	307	13	1	1	NUM
ejpam-4708	307	14	(	(	PUNCT
ejpam-4708	307	15	n−	n−	NOUN
ejpam-4708	307	16	2	2	NUM
ejpam-4708	307	17	)	)	PUNCT
ejpam-4708	307	18	!	!	PUNCT
ejpam-4708	308	1	∫	∫	PROPN
ejpam-4708	309	1	∞	∞	PROPN
ejpam-4708	309	2	t0	t0	PROPN
ejpam-4708	309	3	∫	∫	PROPN
ejpam-4708	309	4	s	s	PART
ejpam-4708	309	5	t0	t0	PROPN
ejpam-4708	309	6	sn−2	sn−2	ADP
ejpam-4708	309	7	r(s	r(s	PROPN
ejpam-4708	309	8	)	)	PUNCT
ejpam-4708	309	9	|f1(u	|f1(u	PROPN
ejpam-4708	309	10	,	,	PUNCT
ejpam-4708	309	11	d)|duds	d)|dud	NOUN
ejpam-4708	309	12	=	=	SYM
ejpam-4708	309	13	1	1	NUM
ejpam-4708	309	14	2	2	NUM
ejpam-4708	309	15	!	!	PUNCT
ejpam-4708	309	16	∫	∫	PROPN
ejpam-4708	310	1	∞	∞	PROPN
ejpam-4708	310	2	t0	t0	PROPN
ejpam-4708	310	3	∫	∫	PROPN
ejpam-4708	310	4	s	s	PART
ejpam-4708	310	5	t0	t0	PROPN
ejpam-4708	310	6	s2	s2	PROPN
ejpam-4708	310	7	es	es	X
ejpam-4708	310	8	e−u−5|d|duds	e−u−5|d|dud	NOUN
ejpam-4708	310	9	<	<	X
ejpam-4708	310	10	∞	∞	PROPN
ejpam-4708	310	11	,	,	PUNCT
ejpam-4708	310	12	d	d	PROPN
ejpam-4708	310	13	̸=	̸=	PROPN
ejpam-4708	310	14	0	0	NUM
ejpam-4708	310	15	,	,	PUNCT
ejpam-4708	310	16	1	1	NUM
ejpam-4708	310	17	(	(	PUNCT
ejpam-4708	310	18	n−	n−	NOUN
ejpam-4708	310	19	2	2	NUM
ejpam-4708	310	20	)	)	PUNCT
ejpam-4708	310	21	!	!	PUNCT
ejpam-4708	311	1	∫	∫	PROPN
ejpam-4708	312	1	∞	∞	PROPN
ejpam-4708	312	2	t0	t0	PROPN
ejpam-4708	312	3	∫	∫	PROPN
ejpam-4708	312	4	s	s	PART
ejpam-4708	312	5	t0	t0	PROPN
ejpam-4708	312	6	sn−2	sn−2	ADP
ejpam-4708	312	7	r(s	r(s	PROPN
ejpam-4708	312	8	)	)	PUNCT
ejpam-4708	312	9	|f2(u	|f2(u	NUM
ejpam-4708	312	10	,	,	PUNCT
ejpam-4708	312	11	d)|duds	d)|dud	NOUN
ejpam-4708	312	12	=	=	SYM
ejpam-4708	312	13	1	1	NUM
ejpam-4708	312	14	2	2	NUM
ejpam-4708	312	15	!	!	PUNCT
ejpam-4708	312	16	∫	∫	PROPN
ejpam-4708	313	1	∞	∞	PROPN
ejpam-4708	313	2	t0	t0	PROPN
ejpam-4708	313	3	∫	∫	PROPN
ejpam-4708	313	4	s	s	PART
ejpam-4708	313	5	t0	t0	PROPN
ejpam-4708	313	6	s2	s2	NOUN
ejpam-4708	313	7	es	es	NOUN
ejpam-4708	313	8	e−u−6|d|3duds	e−u−6|d|3duds	ADP
ejpam-4708	313	9	<	<	X
ejpam-4708	313	10	∞	∞	PROPN
ejpam-4708	313	11	,	,	PUNCT
ejpam-4708	313	12	d	d	PROPN
ejpam-4708	313	13	̸=	̸=	PROPN
ejpam-4708	313	14	0	0	NUM
ejpam-4708	313	15	,	,	PUNCT
ejpam-4708	313	16	and	and	CCONJ
ejpam-4708	313	17	1	1	NUM
ejpam-4708	313	18	(	(	PUNCT
ejpam-4708	313	19	n−	n−	NOUN
ejpam-4708	313	20	2	2	NUM
ejpam-4708	313	21	)	)	PUNCT
ejpam-4708	313	22	!	!	PUNCT
ejpam-4708	314	1	∫	∫	PROPN
ejpam-4708	315	1	∞	∞	PROPN
ejpam-4708	315	2	t0	t0	PROPN
ejpam-4708	315	3	∫	∫	PROPN
ejpam-4708	315	4	s	s	PART
ejpam-4708	315	5	t0	t0	PROPN
ejpam-4708	315	6	sn−2	sn−2	ADP
ejpam-4708	315	7	r(s	r(s	PROPN
ejpam-4708	315	8	)	)	PUNCT
ejpam-4708	315	9	|g(u)|duds	|g(u)|duds	PROPN
ejpam-4708	315	10	=	=	SYM
ejpam-4708	315	11	1	1	NUM
ejpam-4708	315	12	2	2	NUM
ejpam-4708	315	13	!	!	PUNCT
ejpam-4708	315	14	∫	∫	PROPN
ejpam-4708	316	1	∞	∞	PROPN
ejpam-4708	316	2	t0	t0	PROPN
ejpam-4708	316	3	∫	∫	PROPN
ejpam-4708	316	4	s	s	PART
ejpam-4708	316	5	t0	t0	PROPN
ejpam-4708	316	6	s2	s2	PROPN
ejpam-4708	316	7	es	es	ADP
ejpam-4708	316	8	e−u−5|e−2u	e−u−5|e−2u	PROPN
ejpam-4708	316	9	−	−	PROPN
ejpam-4708	316	10	e−4u	e−4u	NOUN
ejpam-4708	316	11	−	−	PROPN
ejpam-4708	316	12	8e−u|duds	8e−u|duds	PROPN
ejpam-4708	316	13	<	<	X
ejpam-4708	316	14	∞.	∞.	PROPN
ejpam-4708	316	15	we	we	PRON
ejpam-4708	316	16	see	see	VERB
ejpam-4708	316	17	that	that	SCONJ
ejpam-4708	316	18	all	all	DET
ejpam-4708	316	19	conditions	condition	NOUN
ejpam-4708	316	20	of	of	ADP
ejpam-4708	316	21	theorem	theorem	NOUN
ejpam-4708	316	22	1	1	NUM
ejpam-4708	316	23	are	be	AUX
ejpam-4708	316	24	satisfied	satisfied	ADJ
ejpam-4708	316	25	.	.	PUNCT
ejpam-4708	317	1	in	in	ADP
ejpam-4708	317	2	fact	fact	NOUN
ejpam-4708	317	3	,	,	PUNCT
ejpam-4708	317	4	x(t	x(t	PROPN
ejpam-4708	317	5	)	)	PUNCT
ejpam-4708	317	6	=	=	SYM
ejpam-4708	317	7	e−t	e−t	NOUN
ejpam-4708	317	8	is	be	AUX
ejpam-4708	317	9	a	a	DET
ejpam-4708	317	10	nonoscillatory	nonoscillatory	ADJ
ejpam-4708	317	11	solution	solution	NOUN
ejpam-4708	317	12	of	of	ADP
ejpam-4708	317	13	(	(	PUNCT
ejpam-4708	317	14	20	20	NUM
ejpam-4708	317	15	)	)	PUNCT
ejpam-4708	317	16	.	.	PUNCT
ejpam-4708	318	1	references	reference	NOUN
ejpam-4708	318	2	722	722	NUM
ejpam-4708	318	3	references	reference	NOUN
ejpam-4708	318	4	[	[	X
ejpam-4708	318	5	1	1	NUM
ejpam-4708	318	6	]	]	PUNCT
ejpam-4708	318	7	ravi	ravi	NOUN
ejpam-4708	318	8	p	p	PROPN
ejpam-4708	318	9	agarwal	agarwal	PROPN
ejpam-4708	318	10	,	,	PUNCT
ejpam-4708	318	11	martin	martin	PROPN
ejpam-4708	318	12	bohner	bohner	PROPN
ejpam-4708	318	13	,	,	PUNCT
ejpam-4708	318	14	and	and	CCONJ
ejpam-4708	318	15	wan	wan	PROPN
ejpam-4708	318	16	-	-	PUNCT
ejpam-4708	318	17	tong	tong	PROPN
ejpam-4708	318	18	li	li	PROPN
ejpam-4708	318	19	.	.	PROPN
ejpam-4708	318	20	nonoscillation	nonoscillation	PROPN
ejpam-4708	318	21	and	and	CCONJ
ejpam-4708	318	22	oscillation	oscillation	NOUN
ejpam-4708	318	23	theory	theory	NOUN
ejpam-4708	318	24	for	for	ADP
ejpam-4708	318	25	functional	functional	ADJ
ejpam-4708	318	26	differential	differential	ADJ
ejpam-4708	318	27	equations	equation	NOUN
ejpam-4708	318	28	.	.	PUNCT
ejpam-4708	319	1	crc	crc	PROPN
ejpam-4708	319	2	press	press	PROPN
ejpam-4708	319	3	,	,	PUNCT
ejpam-4708	319	4	2004	2004	NUM
ejpam-4708	319	5	.	.	PUNCT
ejpam-4708	320	1	[	[	X
ejpam-4708	320	2	2	2	X
ejpam-4708	320	3	]	]	PUNCT
ejpam-4708	320	4	ravi	ravi	NOUN
ejpam-4708	320	5	p	p	PROPN
ejpam-4708	320	6	agarwal	agarwal	PROPN
ejpam-4708	320	7	,	,	PUNCT
ejpam-4708	320	8	said	say	VERB
ejpam-4708	320	9	r	r	NOUN
ejpam-4708	320	10	grace	grace	NOUN
ejpam-4708	320	11	,	,	PUNCT
ejpam-4708	320	12	and	and	CCONJ
ejpam-4708	320	13	donal	donal	PROPN
ejpam-4708	320	14	o’regan	o’regan	PROPN
ejpam-4708	320	15	.	.	PUNCT
ejpam-4708	321	1	oscillation	oscillation	NOUN
ejpam-4708	321	2	theory	theory	NOUN
ejpam-4708	321	3	for	for	ADP
ejpam-4708	321	4	difference	difference	NOUN
ejpam-4708	321	5	and	and	CCONJ
ejpam-4708	321	6	functional	functional	ADJ
ejpam-4708	321	7	differential	differential	ADJ
ejpam-4708	321	8	equations	equation	NOUN
ejpam-4708	321	9	.	.	PUNCT
ejpam-4708	322	1	springer	springer	NOUN
ejpam-4708	322	2	science	science	PROPN
ejpam-4708	322	3	&	&	CCONJ
ejpam-4708	322	4	business	business	NOUN
ejpam-4708	322	5	media	medium	NOUN
ejpam-4708	322	6	,	,	PUNCT
ejpam-4708	322	7	2013	2013	NUM
ejpam-4708	322	8	.	.	PUNCT
ejpam-4708	323	1	[	[	X
ejpam-4708	323	2	3	3	X
ejpam-4708	323	3	]	]	X
ejpam-4708	323	4	t	t	X
ejpam-4708	323	5	candan	candan	PROPN
ejpam-4708	323	6	and	and	CCONJ
ejpam-4708	323	7	rs	rs	PROPN
ejpam-4708	323	8	dahiya	dahiya	PROPN
ejpam-4708	323	9	.	.	PUNCT
ejpam-4708	324	1	existence	existence	NOUN
ejpam-4708	324	2	of	of	ADP
ejpam-4708	324	3	nonoscillatory	nonoscillatory	ADJ
ejpam-4708	324	4	solutions	solution	NOUN
ejpam-4708	324	5	of	of	ADP
ejpam-4708	324	6	higher	high	ADJ
ejpam-4708	324	7	order	order	NOUN
ejpam-4708	324	8	neutral	neutral	ADJ
ejpam-4708	324	9	differential	differential	ADJ
ejpam-4708	324	10	equations	equation	NOUN
ejpam-4708	324	11	with	with	ADP
ejpam-4708	324	12	distributed	distribute	VERB
ejpam-4708	324	13	deviating	deviate	VERB
ejpam-4708	324	14	arguments	argument	NOUN
ejpam-4708	324	15	.	.	PUNCT
ejpam-4708	325	1	mathematica	mathematica	PROPN
ejpam-4708	325	2	slovaca	slovaca	PROPN
ejpam-4708	325	3	,	,	PUNCT
ejpam-4708	325	4	63:183–190	63:183–190	PROPN
ejpam-4708	325	5	,	,	PUNCT
ejpam-4708	325	6	2013	2013	NUM
ejpam-4708	325	7	.	.	PUNCT
ejpam-4708	326	1	[	[	X
ejpam-4708	326	2	4	4	NUM
ejpam-4708	326	3	]	]	PUNCT
ejpam-4708	326	4	tuncay	tuncay	NOUN
ejpam-4708	326	5	candan	candan	PROPN
ejpam-4708	326	6	.	.	PUNCT
ejpam-4708	327	1	the	the	DET
ejpam-4708	327	2	existence	existence	NOUN
ejpam-4708	327	3	of	of	ADP
ejpam-4708	327	4	nonoscillatory	nonoscillatory	ADJ
ejpam-4708	327	5	solutions	solution	NOUN
ejpam-4708	327	6	of	of	ADP
ejpam-4708	327	7	higher	high	ADJ
ejpam-4708	327	8	order	order	NOUN
ejpam-4708	327	9	nonlinear	nonlinear	ADJ
ejpam-4708	327	10	neutral	neutral	ADJ
ejpam-4708	327	11	equations	equation	NOUN
ejpam-4708	327	12	.	.	PUNCT
ejpam-4708	328	1	applied	apply	VERB
ejpam-4708	328	2	mathematics	mathematics	NOUN
ejpam-4708	328	3	letters	letter	NOUN
ejpam-4708	328	4	,	,	PUNCT
ejpam-4708	328	5	25(3):412–416	25(3):412–416	NUM
ejpam-4708	328	6	,	,	PUNCT
ejpam-4708	328	7	2012	2012	NUM
ejpam-4708	328	8	.	.	PUNCT
ejpam-4708	329	1	[	[	X
ejpam-4708	329	2	5	5	NUM
ejpam-4708	329	3	]	]	PUNCT
ejpam-4708	329	4	tuncay	tuncay	NOUN
ejpam-4708	329	5	candan	candan	PROPN
ejpam-4708	329	6	.	.	PUNCT
ejpam-4708	330	1	existence	existence	NOUN
ejpam-4708	330	2	of	of	ADP
ejpam-4708	330	3	nonoscillatory	nonoscillatory	ADJ
ejpam-4708	330	4	solutions	solution	NOUN
ejpam-4708	330	5	of	of	ADP
ejpam-4708	330	6	first	first	ADJ
ejpam-4708	330	7	-	-	PUNCT
ejpam-4708	330	8	order	order	NOUN
ejpam-4708	330	9	nonlinear	nonlinear	ADJ
ejpam-4708	330	10	neutral	neutral	ADJ
ejpam-4708	330	11	differential	differential	NOUN
ejpam-4708	330	12	equations	equation	NOUN
ejpam-4708	330	13	.	.	PUNCT
ejpam-4708	331	1	applied	apply	VERB
ejpam-4708	331	2	mathematics	mathematics	NOUN
ejpam-4708	331	3	letters	letter	NOUN
ejpam-4708	331	4	,	,	PUNCT
ejpam-4708	331	5	26(12):1182–1186	26(12):1182–1186	PROPN
ejpam-4708	331	6	,	,	PUNCT
ejpam-4708	331	7	2013	2013	NUM
ejpam-4708	331	8	.	.	PUNCT
ejpam-4708	332	1	[	[	X
ejpam-4708	332	2	6	6	NUM
ejpam-4708	332	3	]	]	PUNCT
ejpam-4708	332	4	tuncay	tuncay	NOUN
ejpam-4708	332	5	candan	candan	PROPN
ejpam-4708	332	6	.	.	PUNCT
ejpam-4708	333	1	nonoscillatory	nonoscillatory	ADJ
ejpam-4708	333	2	solutions	solution	NOUN
ejpam-4708	333	3	of	of	ADP
ejpam-4708	333	4	higher	high	ADJ
ejpam-4708	333	5	order	order	NOUN
ejpam-4708	333	6	differential	differential	NOUN
ejpam-4708	333	7	and	and	CCONJ
ejpam-4708	333	8	delay	delay	VERB
ejpam-4708	333	9	differential	differential	ADJ
ejpam-4708	333	10	equations	equation	NOUN
ejpam-4708	333	11	with	with	ADP
ejpam-4708	333	12	forcing	force	VERB
ejpam-4708	333	13	term	term	NOUN
ejpam-4708	333	14	.	.	PUNCT
ejpam-4708	334	1	applied	apply	VERB
ejpam-4708	334	2	mathematics	mathematics	NOUN
ejpam-4708	334	3	letters	letter	NOUN
ejpam-4708	334	4	,	,	PUNCT
ejpam-4708	334	5	39:67–72	39:67–72	NUM
ejpam-4708	334	6	,	,	PUNCT
ejpam-4708	334	7	2015	2015	NUM
ejpam-4708	334	8	.	.	PUNCT
ejpam-4708	335	1	[	[	X
ejpam-4708	335	2	7	7	NUM
ejpam-4708	335	3	]	]	PUNCT
ejpam-4708	335	4	tuncay	tuncay	NOUN
ejpam-4708	335	5	candan	candan	NOUN
ejpam-4708	335	6	and	and	CCONJ
ejpam-4708	335	7	rajbir	rajbir	PROPN
ejpam-4708	335	8	s	s	PROPN
ejpam-4708	335	9	dahiya	dahiya	NOUN
ejpam-4708	335	10	.	.	PUNCT
ejpam-4708	336	1	existence	existence	NOUN
ejpam-4708	336	2	of	of	ADP
ejpam-4708	336	3	nonoscillatory	nonoscillatory	ADJ
ejpam-4708	336	4	solutions	solution	NOUN
ejpam-4708	336	5	of	of	ADP
ejpam-4708	336	6	first	first	ADJ
ejpam-4708	336	7	and	and	CCONJ
ejpam-4708	336	8	second	second	ADJ
ejpam-4708	336	9	order	order	NOUN
ejpam-4708	336	10	neutral	neutral	ADJ
ejpam-4708	336	11	differential	differential	ADJ
ejpam-4708	336	12	equations	equation	NOUN
ejpam-4708	336	13	with	with	ADP
ejpam-4708	336	14	distributed	distribute	VERB
ejpam-4708	336	15	deviating	deviate	VERB
ejpam-4708	336	16	arguments	argument	NOUN
ejpam-4708	336	17	.	.	PUNCT
ejpam-4708	337	1	journal	journal	NOUN
ejpam-4708	337	2	of	of	ADP
ejpam-4708	337	3	the	the	DET
ejpam-4708	337	4	franklin	franklin	PROPN
ejpam-4708	337	5	institute	institute	PROPN
ejpam-4708	337	6	,	,	PUNCT
ejpam-4708	337	7	347(7):1309–1316	347(7):1309–1316	PROPN
ejpam-4708	337	8	,	,	PUNCT
ejpam-4708	337	9	2010	2010	NUM
ejpam-4708	337	10	.	.	PUNCT
ejpam-4708	338	1	[	[	X
ejpam-4708	338	2	8	8	NUM
ejpam-4708	338	3	]	]	PUNCT
ejpam-4708	338	4	bengü	bengü	PROPN
ejpam-4708	338	5	çına	çına	PROPN
ejpam-4708	338	6	,	,	PUNCT
ejpam-4708	338	7	tuncay	tuncay	NOUN
ejpam-4708	338	8	candan	candan	PROPN
ejpam-4708	338	9	,	,	PUNCT
ejpam-4708	338	10	and	and	CCONJ
ejpam-4708	338	11	mt	mt	PROPN
ejpam-4708	338	12	şenel	şenel	PROPN
ejpam-4708	338	13	.	.	PUNCT
ejpam-4708	339	1	existence	existence	NOUN
ejpam-4708	339	2	of	of	ADP
ejpam-4708	339	3	nonoscillatory	nonoscillatory	ADJ
ejpam-4708	339	4	solutions	solution	NOUN
ejpam-4708	339	5	of	of	ADP
ejpam-4708	339	6	second	second	ADJ
ejpam-4708	339	7	-	-	PUNCT
ejpam-4708	339	8	order	order	NOUN
ejpam-4708	339	9	neutral	neutral	ADJ
ejpam-4708	339	10	differential	differential	NOUN
ejpam-4708	339	11	equations	equation	NOUN
ejpam-4708	339	12	.	.	PUNCT
ejpam-4708	340	1	twms	twms	PROPN
ejpam-4708	340	2	journal	journal	PROPN
ejpam-4708	340	3	of	of	ADP
ejpam-4708	340	4	applied	apply	VERB
ejpam-4708	340	5	and	and	CCONJ
ejpam-4708	340	6	engineering	engineering	NOUN
ejpam-4708	340	7	mathematics	mathematic	NOUN
ejpam-4708	340	8	,	,	PUNCT
ejpam-4708	340	9	9(3):666–674	9(3):666–674	NUM
ejpam-4708	340	10	,	,	PUNCT
ejpam-4708	340	11	2019	2019	NUM
ejpam-4708	340	12	.	.	PUNCT
ejpam-4708	341	1	[	[	X
ejpam-4708	341	2	9	9	NUM
ejpam-4708	341	3	]	]	X
ejpam-4708	341	4	jozef	jozef	PROPN
ejpam-4708	341	5	džurina	džurina	PROPN
ejpam-4708	341	6	,	,	PUNCT
ejpam-4708	341	7	said	say	VERB
ejpam-4708	341	8	r	r	NOUN
ejpam-4708	341	9	grace	grace	NOUN
ejpam-4708	341	10	,	,	PUNCT
ejpam-4708	341	11	irena	irena	NOUN
ejpam-4708	341	12	jadlovská	jadlovská	NOUN
ejpam-4708	341	13	,	,	PUNCT
ejpam-4708	341	14	and	and	CCONJ
ejpam-4708	341	15	tongxing	tongxe	VERB
ejpam-4708	341	16	li	li	PROPN
ejpam-4708	341	17	.	.	PUNCT
ejpam-4708	341	18	oscillation	oscillation	NOUN
ejpam-4708	341	19	criteria	criterion	NOUN
ejpam-4708	341	20	for	for	ADP
ejpam-4708	341	21	second	second	ADJ
ejpam-4708	341	22	-	-	PUNCT
ejpam-4708	341	23	order	order	NOUN
ejpam-4708	341	24	emden	emden	ADJ
ejpam-4708	341	25	–	–	PUNCT
ejpam-4708	341	26	fowler	fowler	PROPN
ejpam-4708	341	27	delay	delay	NOUN
ejpam-4708	341	28	differential	differential	ADJ
ejpam-4708	341	29	equations	equation	NOUN
ejpam-4708	341	30	with	with	ADP
ejpam-4708	341	31	a	a	DET
ejpam-4708	341	32	sublinear	sublinear	ADJ
ejpam-4708	341	33	neutral	neutral	ADJ
ejpam-4708	341	34	term	term	NOUN
ejpam-4708	341	35	.	.	PUNCT
ejpam-4708	342	1	mathematische	mathematische	PROPN
ejpam-4708	342	2	nachrichten	nachrichten	PROPN
ejpam-4708	342	3	,	,	PUNCT
ejpam-4708	342	4	293(5):910–922	293(5):910–922	NUM
ejpam-4708	342	5	,	,	PUNCT
ejpam-4708	342	6	2020	2020	NUM
ejpam-4708	342	7	.	.	PUNCT
ejpam-4708	343	1	[	[	X
ejpam-4708	343	2	10	10	NUM
ejpam-4708	343	3	]	]	X
ejpam-4708	343	4	lynn	lynn	PROPN
ejpam-4708	343	5	h	h	PROPN
ejpam-4708	343	6	erbe	erbe	PROPN
ejpam-4708	343	7	,	,	PUNCT
ejpam-4708	343	8	qingkai	qingkai	PROPN
ejpam-4708	343	9	kong	kong	PROPN
ejpam-4708	343	10	,	,	PUNCT
ejpam-4708	343	11	and	and	CCONJ
ejpam-4708	343	12	bing	bing	NOUN
ejpam-4708	343	13	-	-	PUNCT
ejpam-4708	343	14	gen	gen	PROPN
ejpam-4708	343	15	zhang	zhang	PROPN
ejpam-4708	343	16	.	.	PUNCT
ejpam-4708	344	1	oscillation	oscillation	NOUN
ejpam-4708	344	2	theory	theory	NOUN
ejpam-4708	344	3	for	for	ADP
ejpam-4708	344	4	functional	functional	ADJ
ejpam-4708	344	5	differential	differential	ADJ
ejpam-4708	344	6	equations	equation	NOUN
ejpam-4708	344	7	.	.	PUNCT
ejpam-4708	345	1	routledge	routledge	PROPN
ejpam-4708	345	2	,	,	PUNCT
ejpam-4708	345	3	2017	2017	NUM
ejpam-4708	345	4	.	.	PUNCT
ejpam-4708	346	1	[	[	X
ejpam-4708	346	2	11	11	NUM
ejpam-4708	346	3	]	]	X
ejpam-4708	346	4	silvia	silvia	PROPN
ejpam-4708	346	5	frassu	frassu	PROPN
ejpam-4708	346	6	,	,	PUNCT
ejpam-4708	346	7	rafael	rafael	PROPN
ejpam-4708	346	8	rodŕıguez	rodŕıguez	PROPN
ejpam-4708	346	9	galván	galván	PROPN
ejpam-4708	346	10	,	,	PUNCT
ejpam-4708	346	11	and	and	CCONJ
ejpam-4708	346	12	giuseppe	giuseppe	PROPN
ejpam-4708	346	13	viglialoro	viglialoro	PROPN
ejpam-4708	346	14	.	.	PUNCT
ejpam-4708	347	1	uniform	uniform	NOUN
ejpam-4708	347	2	in	in	ADP
ejpam-4708	347	3	time	time	NOUN
ejpam-4708	347	4	l∞-estimates	l∞-estimate	VERB
ejpam-4708	347	5	for	for	ADP
ejpam-4708	347	6	an	an	DET
ejpam-4708	347	7	attraction	attraction	NOUN
ejpam-4708	347	8	-	-	PUNCT
ejpam-4708	347	9	repulsion	repulsion	NOUN
ejpam-4708	347	10	chemotaxis	chemotaxis	ADJ
ejpam-4708	347	11	model	model	NOUN
ejpam-4708	347	12	with	with	ADP
ejpam-4708	347	13	double	double	ADJ
ejpam-4708	347	14	saturation	saturation	NOUN
ejpam-4708	347	15	.	.	PUNCT
ejpam-4708	348	1	discrete	discrete	ADJ
ejpam-4708	348	2	and	and	CCONJ
ejpam-4708	348	3	continuous	continuous	ADJ
ejpam-4708	348	4	dynamical	dynamical	ADJ
ejpam-4708	348	5	systems	system	NOUN
ejpam-4708	348	6	-	-	PUNCT
ejpam-4708	348	7	b	b	NOUN
ejpam-4708	348	8	,	,	PUNCT
ejpam-4708	348	9	28(3):1886–1904	28(3):1886–1904	NUM
ejpam-4708	348	10	,	,	PUNCT
ejpam-4708	348	11	2023	2023	NUM
ejpam-4708	348	12	.	.	PUNCT
ejpam-4708	349	1	[	[	X
ejpam-4708	349	2	12	12	NUM
ejpam-4708	349	3	]	]	X
ejpam-4708	349	4	silvia	silvia	PROPN
ejpam-4708	349	5	frassu	frassu	PROPN
ejpam-4708	349	6	,	,	PUNCT
ejpam-4708	349	7	tongxing	tongxe	VERB
ejpam-4708	349	8	li	li	NOUN
ejpam-4708	349	9	,	,	PUNCT
ejpam-4708	349	10	and	and	CCONJ
ejpam-4708	349	11	giuseppe	giuseppe	PROPN
ejpam-4708	349	12	viglialoro	viglialoro	PROPN
ejpam-4708	349	13	.	.	PUNCT
ejpam-4708	350	1	improvements	improvement	NOUN
ejpam-4708	350	2	and	and	CCONJ
ejpam-4708	350	3	generalizations	generalization	NOUN
ejpam-4708	350	4	of	of	ADP
ejpam-4708	350	5	results	result	NOUN
ejpam-4708	350	6	concerning	concern	VERB
ejpam-4708	350	7	attraction	attraction	NOUN
ejpam-4708	350	8	-	-	PUNCT
ejpam-4708	350	9	repulsion	repulsion	NOUN
ejpam-4708	350	10	chemotaxis	chemotaxis	ADJ
ejpam-4708	350	11	models	model	NOUN
ejpam-4708	350	12	.	.	PUNCT
ejpam-4708	351	1	mathematical	mathematical	ADJ
ejpam-4708	351	2	methods	method	NOUN
ejpam-4708	351	3	in	in	ADP
ejpam-4708	351	4	the	the	DET
ejpam-4708	351	5	applied	apply	VERB
ejpam-4708	351	6	sciences	science	NOUN
ejpam-4708	351	7	,	,	PUNCT
ejpam-4708	351	8	45(17):11067–11078	45(17):11067–11078	NUM
ejpam-4708	351	9	,	,	PUNCT
ejpam-4708	351	10	2022	2022	NUM
ejpam-4708	351	11	.	.	PUNCT
ejpam-4708	352	1	[	[	X
ejpam-4708	352	2	13	13	NUM
ejpam-4708	352	3	]	]	X
ejpam-4708	352	4	istván	istván	NOUN
ejpam-4708	352	5	győri	győri	PROPN
ejpam-4708	352	6	,	,	PUNCT
ejpam-4708	352	7	i	i	PRON
ejpam-4708	352	8	gyori	gyori	VERB
ejpam-4708	352	9	,	,	PUNCT
ejpam-4708	352	10	and	and	CCONJ
ejpam-4708	352	11	ge	ge	PROPN
ejpam-4708	352	12	ladas	ladas	PROPN
ejpam-4708	352	13	.	.	PUNCT
ejpam-4708	353	1	oscillation	oscillation	NOUN
ejpam-4708	353	2	theory	theory	NOUN
ejpam-4708	353	3	of	of	ADP
ejpam-4708	353	4	delay	delay	NOUN
ejpam-4708	353	5	differential	differential	ADJ
ejpam-4708	353	6	equations	equation	NOUN
ejpam-4708	353	7	:	:	PUNCT
ejpam-4708	353	8	with	with	ADP
ejpam-4708	353	9	applications	application	NOUN
ejpam-4708	353	10	.	.	PUNCT
ejpam-4708	354	1	clarendon	clarendon	PROPN
ejpam-4708	354	2	press	press	PROPN
ejpam-4708	354	3	,	,	PUNCT
ejpam-4708	354	4	1991	1991	NUM
ejpam-4708	354	5	.	.	PUNCT
ejpam-4708	355	1	references	reference	NOUN
ejpam-4708	355	2	723	723	NUM
ejpam-4708	355	3	[	[	X
ejpam-4708	355	4	14	14	NUM
ejpam-4708	355	5	]	]	PUNCT
ejpam-4708	355	6	tongxing	tongxe	VERB
ejpam-4708	355	7	li	li	PROPN
ejpam-4708	355	8	and	and	CCONJ
ejpam-4708	355	9	yuriy	yuriy	PROPN
ejpam-4708	355	10	v	v	PROPN
ejpam-4708	355	11	rogovchenko	rogovchenko	PROPN
ejpam-4708	355	12	.	.	PUNCT
ejpam-4708	356	1	oscillation	oscillation	NOUN
ejpam-4708	356	2	criteria	criterion	NOUN
ejpam-4708	356	3	for	for	ADP
ejpam-4708	356	4	second	second	ADJ
ejpam-4708	356	5	-	-	PUNCT
ejpam-4708	356	6	order	order	NOUN
ejpam-4708	356	7	superlinear	superlinear	NOUN
ejpam-4708	356	8	emden	emden	NOUN
ejpam-4708	356	9	–	–	PUNCT
ejpam-4708	356	10	fowler	fowler	PROPN
ejpam-4708	356	11	neutral	neutral	ADJ
ejpam-4708	356	12	differential	differential	PROPN
ejpam-4708	356	13	equations	equation	NOUN
ejpam-4708	356	14	.	.	PUNCT
ejpam-4708	357	1	monatshefte	monatshefte	PROPN
ejpam-4708	357	2	für	für	PROPN
ejpam-4708	357	3	mathematik	mathematik	PROPN
ejpam-4708	357	4	,	,	PUNCT
ejpam-4708	357	5	184:489–500	184:489–500	NUM
ejpam-4708	357	6	,	,	PUNCT
ejpam-4708	357	7	2017	2017	NUM
ejpam-4708	357	8	.	.	PUNCT
ejpam-4708	358	1	[	[	X
ejpam-4708	358	2	15	15	NUM
ejpam-4708	358	3	]	]	X
ejpam-4708	358	4	tongxing	tongxe	VERB
ejpam-4708	358	5	li	li	PROPN
ejpam-4708	358	6	and	and	CCONJ
ejpam-4708	358	7	yuriy	yuriy	PROPN
ejpam-4708	358	8	v	v	PROPN
ejpam-4708	358	9	rogovchenko	rogovchenko	PROPN
ejpam-4708	358	10	.	.	PUNCT
ejpam-4708	359	1	on	on	ADP
ejpam-4708	359	2	the	the	DET
ejpam-4708	359	3	asymptotic	asymptotic	ADJ
ejpam-4708	359	4	behavior	behavior	NOUN
ejpam-4708	359	5	of	of	ADP
ejpam-4708	359	6	solutions	solution	NOUN
ejpam-4708	359	7	to	to	ADP
ejpam-4708	359	8	a	a	DET
ejpam-4708	359	9	class	class	NOUN
ejpam-4708	359	10	of	of	ADP
ejpam-4708	359	11	third	third	ADJ
ejpam-4708	359	12	-	-	PUNCT
ejpam-4708	359	13	order	order	NOUN
ejpam-4708	359	14	nonlinear	nonlinear	ADJ
ejpam-4708	359	15	neutral	neutral	ADJ
ejpam-4708	359	16	differential	differential	NOUN
ejpam-4708	359	17	equations	equation	NOUN
ejpam-4708	359	18	.	.	PUNCT
ejpam-4708	360	1	applied	apply	VERB
ejpam-4708	360	2	mathematics	mathematics	NOUN
ejpam-4708	360	3	letters	letter	NOUN
ejpam-4708	360	4	,	,	PUNCT
ejpam-4708	360	5	105:106293	105:106293	NUM
ejpam-4708	360	6	,	,	PUNCT
ejpam-4708	360	7	2020	2020	NUM
ejpam-4708	360	8	.	.	PUNCT
ejpam-4708	361	1	[	[	X
ejpam-4708	361	2	16	16	NUM
ejpam-4708	361	3	]	]	X
ejpam-4708	361	4	tongxing	tongxe	VERB
ejpam-4708	361	5	li	li	PROPN
ejpam-4708	361	6	and	and	CCONJ
ejpam-4708	361	7	giuseppe	giuseppe	PROPN
ejpam-4708	361	8	viglialoro	viglialoro	PROPN
ejpam-4708	361	9	.	.	PUNCT
ejpam-4708	362	1	boundedness	boundedness	PROPN
ejpam-4708	362	2	for	for	ADP
ejpam-4708	362	3	a	a	DET
ejpam-4708	362	4	nonlocal	nonlocal	ADJ
ejpam-4708	362	5	reaction	reaction	NOUN
ejpam-4708	362	6	chemotaxis	chemotaxis	ADJ
ejpam-4708	362	7	model	model	NOUN
ejpam-4708	362	8	even	even	ADV
ejpam-4708	362	9	in	in	ADP
ejpam-4708	362	10	the	the	DET
ejpam-4708	362	11	attraction	attraction	NOUN
ejpam-4708	362	12	-	-	PUNCT
ejpam-4708	362	13	dominated	dominate	VERB
ejpam-4708	362	14	regime	regime	NOUN
ejpam-4708	362	15	.	.	PUNCT
ejpam-4708	363	1	2021	2021	NUM
ejpam-4708	363	2	.	.	PUNCT
ejpam-4708	364	1	[	[	X
ejpam-4708	364	2	17	17	NUM
ejpam-4708	364	3	]	]	X
ejpam-4708	364	4	youjun	youjun	PROPN
ejpam-4708	364	5	liu	liu	PROPN
ejpam-4708	364	6	,	,	PUNCT
ejpam-4708	364	7	huanhuan	huanhuan	PROPN
ejpam-4708	364	8	zhao	zhao	PROPN
ejpam-4708	364	9	,	,	PUNCT
ejpam-4708	364	10	and	and	CCONJ
ejpam-4708	364	11	jurang	jurang	PROPN
ejpam-4708	364	12	yan	yan	PROPN
ejpam-4708	364	13	.	.	PUNCT
ejpam-4708	365	1	existence	existence	NOUN
ejpam-4708	365	2	of	of	ADP
ejpam-4708	365	3	nonoscillatory	nonoscillatory	ADJ
ejpam-4708	365	4	solutions	solution	NOUN
ejpam-4708	365	5	of	of	ADP
ejpam-4708	365	6	higher	high	ADJ
ejpam-4708	365	7	-	-	PUNCT
ejpam-4708	365	8	order	order	NOUN
ejpam-4708	365	9	neutral	neutral	ADJ
ejpam-4708	365	10	differential	differential	NOUN
ejpam-4708	365	11	equations	equation	NOUN
ejpam-4708	365	12	with	with	ADP
ejpam-4708	365	13	positive	positive	ADJ
ejpam-4708	365	14	and	and	CCONJ
ejpam-4708	365	15	negative	negative	ADJ
ejpam-4708	365	16	coefficients	coefficient	NOUN
ejpam-4708	365	17	.	.	PUNCT
ejpam-4708	366	1	journal	journal	NOUN
ejpam-4708	366	2	of	of	ADP
ejpam-4708	366	3	inequalities	inequality	NOUN
ejpam-4708	366	4	and	and	CCONJ
ejpam-4708	366	5	applications	application	NOUN
ejpam-4708	366	6	,	,	PUNCT
ejpam-4708	366	7	2016(1):1–8	2016(1):1–8	NUM
ejpam-4708	366	8	,	,	PUNCT
ejpam-4708	366	9	2016	2016	NUM
ejpam-4708	366	10	.	.	PUNCT
ejpam-4708	367	1	[	[	X
ejpam-4708	367	2	18	18	NUM
ejpam-4708	367	3	]	]	X
ejpam-4708	367	4	zeqing	zeqing	PROPN
ejpam-4708	367	5	liu	liu	PROPN
ejpam-4708	367	6	,	,	PUNCT
ejpam-4708	367	7	ming	ming	PROPN
ejpam-4708	367	8	jia	jia	PROPN
ejpam-4708	367	9	,	,	PUNCT
ejpam-4708	367	10	jeong	jeong	PROPN
ejpam-4708	367	11	sheok	sheok	PROPN
ejpam-4708	367	12	ume	ume	PROPN
ejpam-4708	367	13	,	,	PUNCT
ejpam-4708	367	14	and	and	CCONJ
ejpam-4708	367	15	shin	shin	PROPN
ejpam-4708	367	16	min	min	PROPN
ejpam-4708	367	17	kang	kang	PROPN
ejpam-4708	367	18	.	.	PUNCT
ejpam-4708	368	1	nonoscillatory	nonoscillatory	ADJ
ejpam-4708	368	2	solutions	solution	NOUN
ejpam-4708	368	3	for	for	ADP
ejpam-4708	368	4	higher	high	ADJ
ejpam-4708	368	5	-	-	PUNCT
ejpam-4708	368	6	order	order	NOUN
ejpam-4708	368	7	nonlinear	nonlinear	ADJ
ejpam-4708	368	8	neutral	neutral	ADJ
ejpam-4708	368	9	delay	delay	NOUN
ejpam-4708	368	10	differential	differential	PROPN
ejpam-4708	368	11	equations	equation	NOUN
ejpam-4708	368	12	.	.	PUNCT
ejpam-4708	369	1	journal	journal	PROPN
ejpam-4708	369	2	of	of	ADP
ejpam-4708	369	3	inequalities	inequality	NOUN
ejpam-4708	369	4	and	and	CCONJ
ejpam-4708	369	5	applications	application	NOUN
ejpam-4708	369	6	,	,	PUNCT
ejpam-4708	369	7	2014:1–34	2014:1–34	NUM
ejpam-4708	369	8	,	,	PUNCT
ejpam-4708	369	9	2014	2014	NUM
ejpam-4708	369	10	.	.	PUNCT
ejpam-4708	370	1	[	[	X
ejpam-4708	370	2	19	19	NUM
ejpam-4708	370	3	]	]	X
ejpam-4708	370	4	yazhou	yazhou	NOUN
ejpam-4708	370	5	tian	tian	PROPN
ejpam-4708	370	6	,	,	PUNCT
ejpam-4708	370	7	yuanli	yuanli	NOUN
ejpam-4708	370	8	cai	cai	PROPN
ejpam-4708	370	9	,	,	PUNCT
ejpam-4708	370	10	and	and	CCONJ
ejpam-4708	370	11	tongxing	tongxe	VERB
ejpam-4708	370	12	li	li	PROPN
ejpam-4708	370	13	.	.	PROPN
ejpam-4708	370	14	existence	existence	NOUN
ejpam-4708	370	15	of	of	ADP
ejpam-4708	370	16	nonoscillatory	nonoscillatory	ADJ
ejpam-4708	370	17	solutions	solution	NOUN
ejpam-4708	370	18	to	to	ADP
ejpam-4708	370	19	second	second	ADJ
ejpam-4708	370	20	-	-	PUNCT
ejpam-4708	370	21	order	order	NOUN
ejpam-4708	370	22	nonlinear	nonlinear	ADJ
ejpam-4708	370	23	neutral	neutral	ADJ
ejpam-4708	370	24	difference	difference	NOUN
ejpam-4708	370	25	equations	equation	NOUN
ejpam-4708	370	26	.	.	PUNCT
ejpam-4708	371	1	j.	j.	PROPN
ejpam-4708	371	2	nonlinear	nonlinear	PROPN
ejpam-4708	371	3	sci	sci	PROPN
ejpam-4708	371	4	.	.	PUNCT
ejpam-4708	371	5	appl	appl	PROPN
ejpam-4708	371	6	,	,	PUNCT
ejpam-4708	371	7	8:884	8:884	NUM
ejpam-4708	371	8	–	–	PUNCT
ejpam-4708	371	9	892	892	NUM
ejpam-4708	371	10	,	,	PUNCT
ejpam-4708	371	11	2015	2015	NUM
ejpam-4708	371	12	.	.	PUNCT
ejpam-4708	372	1	[	[	X
ejpam-4708	372	2	20	20	NUM
ejpam-4708	372	3	]	]	X
ejpam-4708	372	4	aijun	aijun	PROPN
ejpam-4708	372	5	yang	yang	PROPN
ejpam-4708	372	6	,	,	PUNCT
ejpam-4708	372	7	zhenguo	zhenguo	PROPN
ejpam-4708	372	8	zhang	zhang	PROPN
ejpam-4708	372	9	,	,	PUNCT
ejpam-4708	372	10	and	and	CCONJ
ejpam-4708	372	11	weigao	weigao	ADV
ejpam-4708	372	12	ge	ge	PROPN
ejpam-4708	372	13	.	.	PROPN
ejpam-4708	372	14	existence	existence	NOUN
ejpam-4708	372	15	of	of	ADP
ejpam-4708	372	16	nonoscillatory	nonoscillatory	ADJ
ejpam-4708	372	17	solutions	solution	NOUN
ejpam-4708	372	18	of	of	ADP
ejpam-4708	372	19	second	second	ADJ
ejpam-4708	372	20	-	-	PUNCT
ejpam-4708	372	21	order	order	NOUN
ejpam-4708	372	22	nonlinear	nonlinear	ADJ
ejpam-4708	372	23	neutral	neutral	ADJ
ejpam-4708	372	24	differential	differential	NOUN
ejpam-4708	372	25	equations	equation	NOUN
ejpam-4708	372	26	.	.	PUNCT
ejpam-4708	373	1	indian	indian	PROPN
ejpam-4708	373	2	j.	j.	PROPN
ejpam-4708	373	3	pure	pure	PROPN
ejpam-4708	373	4	appl	appl	PROPN
ejpam-4708	373	5	.	.	PUNCT
ejpam-4708	373	6	math	math	PROPN
ejpam-4708	373	7	,	,	PUNCT
ejpam-4708	373	8	39(3):227–235	39(3):227–235	PROPN
ejpam-4708	373	9	,	,	PUNCT
ejpam-4708	373	10	2008	2008	NUM
ejpam-4708	373	11	.	.	PUNCT
ejpam-4708	374	1	[	[	X
ejpam-4708	374	2	21	21	NUM
ejpam-4708	374	3	]	]	X
ejpam-4708	374	4	yong	yong	PROPN
ejpam-4708	374	5	zhou	zhou	PROPN
ejpam-4708	374	6	and	and	CCONJ
ejpam-4708	374	7	bg	bg	PROPN
ejpam-4708	374	8	zhang	zhang	PROPN
ejpam-4708	374	9	.	.	PUNCT
ejpam-4708	375	1	existence	existence	NOUN
ejpam-4708	375	2	of	of	ADP
ejpam-4708	375	3	nonoscillatory	nonoscillatory	ADJ
ejpam-4708	375	4	solutions	solution	NOUN
ejpam-4708	375	5	of	of	ADP
ejpam-4708	375	6	higher	high	ADJ
ejpam-4708	375	7	-	-	PUNCT
ejpam-4708	375	8	order	order	NOUN
ejpam-4708	375	9	neutral	neutral	ADJ
ejpam-4708	375	10	differential	differential	NOUN
ejpam-4708	375	11	equations	equation	NOUN
ejpam-4708	375	12	with	with	ADP
ejpam-4708	375	13	positive	positive	ADJ
ejpam-4708	375	14	and	and	CCONJ
ejpam-4708	375	15	negative	negative	ADJ
ejpam-4708	375	16	coefficients	coefficient	NOUN
ejpam-4708	375	17	.	.	PUNCT
ejpam-4708	376	1	applied	apply	VERB
ejpam-4708	376	2	mathematics	mathematics	NOUN
ejpam-4708	376	3	letters	letter	NOUN
ejpam-4708	376	4	,	,	PUNCT
ejpam-4708	376	5	15(7):867–874	15(7):867–874	PROPN
ejpam-4708	376	6	,	,	PUNCT
ejpam-4708	376	7	2002	2002	NUM
ejpam-4708	376	8	.	.	PUNCT