id	sid	tid	token	lemma	pos
ejpam-2456	1	1	european	european	PROPN
ejpam-2456	1	2	journal	journal	PROPN
ejpam-2456	1	3	of	of	ADP
ejpam-2456	1	4	pure	pure	ADJ
ejpam-2456	1	5	and	and	CCONJ
ejpam-2456	1	6	applied	apply	VERB
ejpam-2456	1	7	mathematics	mathematic	NOUN
ejpam-2456	1	8	vol	vol	NOUN
ejpam-2456	1	9	.	.	PROPN
ejpam-2456	2	1	9	9	NUM
ejpam-2456	2	2	,	,	PUNCT
ejpam-2456	2	3	no	no	INTJ
ejpam-2456	2	4	.	.	NOUN
ejpam-2456	2	5	4	4	NUM
ejpam-2456	2	6	,	,	PUNCT
ejpam-2456	2	7	2016	2016	NUM
ejpam-2456	2	8	,	,	PUNCT
ejpam-2456	2	9	383	383	NUM
ejpam-2456	2	10	-	-	SYM
ejpam-2456	2	11	401	401	NUM
ejpam-2456	2	12	issn	issn	PROPN
ejpam-2456	2	13	1307	1307	NUM
ejpam-2456	2	14	-	-	SYM
ejpam-2456	2	15	5543	5543	NUM
ejpam-2456	2	16	–	–	PUNCT
ejpam-2456	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-2456	2	18	controllability	controllability	NOUN
ejpam-2456	2	19	of	of	ADP
ejpam-2456	2	20	mild	mild	ADJ
ejpam-2456	2	21	solutions	solution	NOUN
ejpam-2456	2	22	for	for	ADP
ejpam-2456	2	23	evolution	evolution	NOUN
ejpam-2456	2	24	equations	equation	NOUN
ejpam-2456	2	25	with	with	ADP
ejpam-2456	2	26	infinite	infinite	ADJ
ejpam-2456	2	27	state	state	NOUN
ejpam-2456	2	28	-	-	PUNCT
ejpam-2456	2	29	dependent	dependent	ADJ
ejpam-2456	2	30	delay	delay	NOUN
ejpam-2456	2	31	djillali	djillali	VERB
ejpam-2456	2	32	aoued	aoued	PROPN
ejpam-2456	2	33	,	,	PUNCT
ejpam-2456	2	34	selma	selma	PROPN
ejpam-2456	2	35	baghli	baghli	PROPN
ejpam-2456	2	36	-	-	PUNCT
ejpam-2456	2	37	bendimerad∗	bendimerad∗	PROPN
ejpam-2456	2	38	department	department	NOUN
ejpam-2456	2	39	of	of	ADP
ejpam-2456	2	40	mathematics	mathematic	NOUN
ejpam-2456	2	41	,	,	PUNCT
ejpam-2456	2	42	exact	exact	ADJ
ejpam-2456	2	43	sciences	science	NOUN
ejpam-2456	2	44	faculty	faculty	NOUN
ejpam-2456	2	45	,	,	PUNCT
ejpam-2456	2	46	djillali	djillali	PROPN
ejpam-2456	2	47	liabes	liabes	PROPN
ejpam-2456	2	48	university	university	PROPN
ejpam-2456	2	49	,	,	PUNCT
ejpam-2456	2	50	b.	b.	PROPN
ejpam-2456	3	1	p.	p.	NOUN
ejpam-2456	3	2	89	89	NUM
ejpam-2456	3	3	,	,	PUNCT
ejpam-2456	3	4	sidi	sidi	NOUN
ejpam-2456	3	5	bel	bel	NOUN
ejpam-2456	3	6	-	-	PUNCT
ejpam-2456	3	7	abbes	abbe	NOUN
ejpam-2456	3	8	22000	22000	NUM
ejpam-2456	3	9	,	,	PUNCT
ejpam-2456	3	10	algeria	algeria	PROPN
ejpam-2456	3	11	abstract	abstract	NOUN
ejpam-2456	3	12	.	.	PUNCT
ejpam-2456	4	1	we	we	PRON
ejpam-2456	4	2	consider	consider	VERB
ejpam-2456	4	3	in	in	ADP
ejpam-2456	4	4	this	this	DET
ejpam-2456	4	5	paper	paper	NOUN
ejpam-2456	4	6	the	the	DET
ejpam-2456	4	7	controllability	controllability	NOUN
ejpam-2456	4	8	of	of	ADP
ejpam-2456	4	9	mild	mild	ADJ
ejpam-2456	4	10	solutions	solution	NOUN
ejpam-2456	4	11	defined	define	VERB
ejpam-2456	4	12	on	on	ADP
ejpam-2456	4	13	the	the	DET
ejpam-2456	4	14	semi	semi	ADJ
ejpam-2456	4	15	-	-	ADJ
ejpam-2456	4	16	infinite	infinite	ADJ
ejpam-2456	4	17	positive	positive	ADJ
ejpam-2456	4	18	real	real	ADJ
ejpam-2456	4	19	interval	interval	NOUN
ejpam-2456	4	20	for	for	ADP
ejpam-2456	4	21	two	two	NUM
ejpam-2456	4	22	classes	class	NOUN
ejpam-2456	4	23	of	of	ADP
ejpam-2456	4	24	first	first	ADJ
ejpam-2456	4	25	order	order	NOUN
ejpam-2456	4	26	partial	partial	ADJ
ejpam-2456	4	27	functional	functional	ADJ
ejpam-2456	4	28	and	and	CCONJ
ejpam-2456	4	29	neutral	neutral	ADJ
ejpam-2456	4	30	functional	functional	ADJ
ejpam-2456	4	31	evolution	evolution	NOUN
ejpam-2456	4	32	equations	equation	NOUN
ejpam-2456	4	33	with	with	ADP
ejpam-2456	4	34	infinite	infinite	ADJ
ejpam-2456	4	35	state	state	NOUN
ejpam-2456	4	36	-	-	PUNCT
ejpam-2456	4	37	dependent	dependent	ADJ
ejpam-2456	4	38	delay	delay	NOUN
ejpam-2456	4	39	using	use	VERB
ejpam-2456	4	40	a	a	DET
ejpam-2456	4	41	nonlinear	nonlinear	ADJ
ejpam-2456	4	42	alternative	alternative	NOUN
ejpam-2456	4	43	due	due	ADP
ejpam-2456	4	44	to	to	ADP
ejpam-2456	4	45	avramescu	avramescu	PROPN
ejpam-2456	4	46	for	for	ADP
ejpam-2456	4	47	sum	sum	NOUN
ejpam-2456	4	48	of	of	ADP
ejpam-2456	4	49	compact	compact	ADJ
ejpam-2456	4	50	and	and	CCONJ
ejpam-2456	4	51	contraction	contraction	NOUN
ejpam-2456	4	52	operators	operator	NOUN
ejpam-2456	4	53	in	in	ADP
ejpam-2456	4	54	fréchet	fréchet	NOUN
ejpam-2456	4	55	spaces	space	NOUN
ejpam-2456	4	56	,	,	PUNCT
ejpam-2456	4	57	combined	combine	VERB
ejpam-2456	4	58	with	with	ADP
ejpam-2456	4	59	the	the	DET
ejpam-2456	4	60	semigroup	semigroup	PROPN
ejpam-2456	4	61	theory	theory	NOUN
ejpam-2456	4	62	.	.	PUNCT
ejpam-2456	5	1	2010	2010	NUM
ejpam-2456	5	2	mathematics	mathematic	NOUN
ejpam-2456	5	3	subject	subject	NOUN
ejpam-2456	5	4	classifications	classification	NOUN
ejpam-2456	5	5	:	:	PUNCT
ejpam-2456	5	6	93b05	93b05	NUM
ejpam-2456	5	7	,	,	PUNCT
ejpam-2456	5	8	34g20	34g20	NUM
ejpam-2456	5	9	,	,	PUNCT
ejpam-2456	5	10	34g25	34g25	NUM
ejpam-2456	5	11	,	,	PUNCT
ejpam-2456	5	12	34k40	34k40	NUM
ejpam-2456	5	13	key	key	ADJ
ejpam-2456	5	14	words	word	NOUN
ejpam-2456	5	15	and	and	CCONJ
ejpam-2456	5	16	phrases	phrase	NOUN
ejpam-2456	5	17	:	:	PUNCT
ejpam-2456	5	18	controllability	controllability	NOUN
ejpam-2456	5	19	,	,	PUNCT
ejpam-2456	5	20	mild	mild	ADJ
ejpam-2456	5	21	solution	solution	NOUN
ejpam-2456	5	22	,	,	PUNCT
ejpam-2456	5	23	evolution	evolution	NOUN
ejpam-2456	5	24	equations	equation	NOUN
ejpam-2456	5	25	,	,	PUNCT
ejpam-2456	5	26	neutral	neutral	ADJ
ejpam-2456	5	27	problems	problem	NOUN
ejpam-2456	5	28	,	,	PUNCT
ejpam-2456	5	29	infinite	infinite	ADJ
ejpam-2456	5	30	delay	delay	NOUN
ejpam-2456	5	31	,	,	PUNCT
ejpam-2456	5	32	state	state	NOUN
ejpam-2456	5	33	-	-	PUNCT
ejpam-2456	5	34	dependent	dependent	ADJ
ejpam-2456	5	35	delay	delay	NOUN
ejpam-2456	5	36	,	,	PUNCT
ejpam-2456	5	37	fixed	fix	VERB
ejpam-2456	5	38	point	point	NOUN
ejpam-2456	5	39	,	,	PUNCT
ejpam-2456	5	40	nonlinear	nonlinear	ADJ
ejpam-2456	5	41	alternative	alternative	NOUN
ejpam-2456	5	42	,	,	PUNCT
ejpam-2456	5	43	semigroup	semigroup	PROPN
ejpam-2456	5	44	theory	theory	NOUN
ejpam-2456	5	45	,	,	PUNCT
ejpam-2456	5	46	fréchet	fréchet	NOUN
ejpam-2456	5	47	spaces	space	VERB
ejpam-2456	5	48	1	1	NUM
ejpam-2456	5	49	.	.	PUNCT
ejpam-2456	6	1	introduction	introduction	NOUN
ejpam-2456	6	2	controllability	controllability	NOUN
ejpam-2456	6	3	of	of	ADP
ejpam-2456	6	4	mild	mild	ADJ
ejpam-2456	6	5	solutions	solution	NOUN
ejpam-2456	6	6	is	be	AUX
ejpam-2456	6	7	given	give	VERB
ejpam-2456	6	8	in	in	ADP
ejpam-2456	6	9	this	this	DET
ejpam-2456	6	10	paper	paper	NOUN
ejpam-2456	6	11	over	over	ADP
ejpam-2456	6	12	the	the	DET
ejpam-2456	6	13	semi	semi	ADJ
ejpam-2456	6	14	-	-	ADJ
ejpam-2456	6	15	infinite	infinite	ADJ
ejpam-2456	6	16	real	real	ADJ
ejpam-2456	6	17	interval	interval	NOUN
ejpam-2456	6	18	j	j	PROPN
ejpam-2456	6	19	:	:	PUNCT
ejpam-2456	6	20	=	=	PUNCT
ejpam-2456	7	1	[	[	X
ejpam-2456	7	2	0,+∞	0,+∞	NUM
ejpam-2456	7	3	)	)	PUNCT
ejpam-2456	7	4	for	for	ADP
ejpam-2456	7	5	two	two	NUM
ejpam-2456	7	6	classes	class	NOUN
ejpam-2456	7	7	of	of	ADP
ejpam-2456	7	8	first	first	ADJ
ejpam-2456	7	9	order	order	NOUN
ejpam-2456	7	10	partial	partial	ADJ
ejpam-2456	7	11	and	and	CCONJ
ejpam-2456	7	12	neutral	neutral	ADJ
ejpam-2456	7	13	functional	functional	ADJ
ejpam-2456	7	14	evolution	evolution	NOUN
ejpam-2456	7	15	equations	equation	NOUN
ejpam-2456	7	16	with	with	ADP
ejpam-2456	7	17	infinite	infinite	ADJ
ejpam-2456	7	18	state	state	NOUN
ejpam-2456	7	19	-	-	PUNCT
ejpam-2456	7	20	dependent	dependent	ADJ
ejpam-2456	7	21	delay	delay	NOUN
ejpam-2456	7	22	in	in	ADP
ejpam-2456	7	23	a	a	DET
ejpam-2456	7	24	real	real	ADJ
ejpam-2456	7	25	separable	separable	ADJ
ejpam-2456	7	26	banach	banach	NOUN
ejpam-2456	7	27	space	space	NOUN
ejpam-2456	7	28	(	(	PUNCT
ejpam-2456	7	29	e	e	NOUN
ejpam-2456	7	30	,	,	PUNCT
ejpam-2456	7	31	|	|	ADV
ejpam-2456	7	32	·	·	PUNCT
ejpam-2456	8	1	|	|	NOUN
ejpam-2456	8	2	)	)	PUNCT
ejpam-2456	8	3	.	.	PUNCT
ejpam-2456	9	1	in	in	ADP
ejpam-2456	9	2	section	section	NOUN
ejpam-2456	9	3	3	3	NUM
ejpam-2456	9	4	,	,	PUNCT
ejpam-2456	9	5	we	we	PRON
ejpam-2456	9	6	study	study	VERB
ejpam-2456	9	7	the	the	DET
ejpam-2456	9	8	following	follow	VERB
ejpam-2456	9	9	evolution	evolution	NOUN
ejpam-2456	9	10	equation	equation	NOUN
ejpam-2456	9	11	y	y	PROPN
ejpam-2456	9	12	′(t	′(t	PROPN
ejpam-2456	9	13	)	)	PUNCT
ejpam-2456	10	1	=	=	NOUN
ejpam-2456	10	2	a(t)y(t	a(t)y(t	X
ejpam-2456	10	3	)	)	PUNCT
ejpam-2456	11	1	+	+	CCONJ
ejpam-2456	11	2	cu(t	cu(t	PUNCT
ejpam-2456	11	3	)	)	PUNCT
ejpam-2456	12	1	+	+	CCONJ
ejpam-2456	12	2	f	f	X
ejpam-2456	12	3	(	(	PUNCT
ejpam-2456	12	4	t	t	PROPN
ejpam-2456	12	5	,	,	PUNCT
ejpam-2456	12	6	yρ(t	yρ(t	NUM
ejpam-2456	12	7	,	,	PUNCT
ejpam-2456	12	8	yt	yt	NOUN
ejpam-2456	12	9	)	)	PUNCT
ejpam-2456	12	10	)	)	PUNCT
ejpam-2456	12	11	,	,	PUNCT
ejpam-2456	12	12	a.e	a.e	PROPN
ejpam-2456	12	13	.	.	PROPN
ejpam-2456	12	14	t	t	PROPN
ejpam-2456	12	15	∈	∈	PROPN
ejpam-2456	12	16	j	j	PROPN
ejpam-2456	12	17	,	,	PUNCT
ejpam-2456	12	18	y0	y0	PROPN
ejpam-2456	12	19	=	=	SYM
ejpam-2456	12	20	φ	φ	X
ejpam-2456	12	21	∈b	∈b	PROPN
ejpam-2456	12	22	(	(	PUNCT
ejpam-2456	12	23	1	1	NUM
ejpam-2456	12	24	)	)	PUNCT
ejpam-2456	12	25	and	and	CCONJ
ejpam-2456	12	26	in	in	ADP
ejpam-2456	12	27	section	section	NOUN
ejpam-2456	12	28	4	4	NUM
ejpam-2456	12	29	,	,	PUNCT
ejpam-2456	12	30	we	we	PRON
ejpam-2456	12	31	study	study	VERB
ejpam-2456	12	32	the	the	DET
ejpam-2456	12	33	following	follow	VERB
ejpam-2456	12	34	neutral	neutral	ADJ
ejpam-2456	12	35	evolution	evolution	NOUN
ejpam-2456	12	36	equation	equation	NOUN
ejpam-2456	12	37	d	d	PROPN
ejpam-2456	12	38	d	d	X
ejpam-2456	12	39	t	t	PROPN
ejpam-2456	13	1	[	[	X
ejpam-2456	13	2	y(t)−	y(t)−	PROPN
ejpam-2456	13	3	g(t	g(t	PROPN
ejpam-2456	13	4	,	,	PUNCT
ejpam-2456	13	5	yρ(t	yρ(t	NUM
ejpam-2456	13	6	,	,	PUNCT
ejpam-2456	13	7	yt	yt	NOUN
ejpam-2456	13	8	)	)	PUNCT
ejpam-2456	13	9	)	)	PUNCT
ejpam-2456	13	10	]	]	PUNCT
ejpam-2456	14	1	=	=	X
ejpam-2456	14	2	a(t)y(t	a(t)y(t	X
ejpam-2456	14	3	)	)	PUNCT
ejpam-2456	14	4	+	+	CCONJ
ejpam-2456	14	5	cu(t	cu(t	PUNCT
ejpam-2456	14	6	)	)	PUNCT
ejpam-2456	15	1	+	+	CCONJ
ejpam-2456	15	2	f	f	X
ejpam-2456	15	3	(	(	PUNCT
ejpam-2456	15	4	t	t	PROPN
ejpam-2456	15	5	,	,	PUNCT
ejpam-2456	15	6	yρ(t	yρ(t	NUM
ejpam-2456	15	7	,	,	PUNCT
ejpam-2456	15	8	yt	yt	NOUN
ejpam-2456	15	9	)	)	PUNCT
ejpam-2456	15	10	)	)	PUNCT
ejpam-2456	15	11	,	,	PUNCT
ejpam-2456	15	12	a.e	a.e	PROPN
ejpam-2456	15	13	.	.	PROPN
ejpam-2456	15	14	t	t	PROPN
ejpam-2456	15	15	∈	∈	PROPN
ejpam-2456	15	16	j	j	PROPN
ejpam-2456	15	17	,	,	PUNCT
ejpam-2456	15	18	y0	y0	PROPN
ejpam-2456	15	19	=	=	SYM
ejpam-2456	15	20	φ	φ	X
ejpam-2456	15	21	∈b	∈b	PROPN
ejpam-2456	15	22	,	,	PUNCT
ejpam-2456	15	23	(	(	PUNCT
ejpam-2456	15	24	2	2	X
ejpam-2456	15	25	)	)	PUNCT
ejpam-2456	15	26	whereb	whereb	NOUN
ejpam-2456	15	27	is	be	AUX
ejpam-2456	15	28	an	an	DET
ejpam-2456	15	29	abstract	abstract	ADJ
ejpam-2456	15	30	phase	phase	NOUN
ejpam-2456	15	31	space	space	NOUN
ejpam-2456	15	32	to	to	PART
ejpam-2456	15	33	be	be	AUX
ejpam-2456	15	34	specified	specify	VERB
ejpam-2456	15	35	later	later	ADV
ejpam-2456	15	36	,	,	PUNCT
ejpam-2456	15	37	f	f	PROPN
ejpam-2456	15	38	,	,	PUNCT
ejpam-2456	15	39	g	g	PROPN
ejpam-2456	15	40	:	:	PUNCT
ejpam-2456	15	41	j	j	PROPN
ejpam-2456	15	42	×b	×b	X
ejpam-2456	15	43	→	→	SYM
ejpam-2456	15	44	e	e	PROPN
ejpam-2456	15	45	,	,	PUNCT
ejpam-2456	15	46	ρ	ρ	PROPN
ejpam-2456	15	47	:	:	PUNCT
ejpam-2456	15	48	j	j	X
ejpam-2456	15	49	×b	×b	NOUN
ejpam-2456	15	50	→	→	SYM
ejpam-2456	15	51	r	r	NOUN
ejpam-2456	15	52	and	and	CCONJ
ejpam-2456	15	53	φ	φ	NUM
ejpam-2456	15	54	∈	∈	PROPN
ejpam-2456	15	55	b	b	PROPN
ejpam-2456	15	56	are	be	AUX
ejpam-2456	15	57	given	give	VERB
ejpam-2456	15	58	functions	function	NOUN
ejpam-2456	15	59	,	,	PUNCT
ejpam-2456	15	60	the	the	DET
ejpam-2456	15	61	control	control	NOUN
ejpam-2456	15	62	function	function	PROPN
ejpam-2456	15	63	u	u	PROPN
ejpam-2456	15	64	(	(	PUNCT
ejpam-2456	15	65	·	·	PUNCT
ejpam-2456	15	66	)	)	PUNCT
ejpam-2456	15	67	is	be	AUX
ejpam-2456	15	68	given	give	VERB
ejpam-2456	15	69	in	in	ADP
ejpam-2456	15	70	l2(r+	l2(r+	PROPN
ejpam-2456	15	71	;	;	PUNCT
ejpam-2456	15	72	e	e	X
ejpam-2456	15	73	)	)	PUNCT
ejpam-2456	15	74	,	,	PUNCT
ejpam-2456	15	75	the	the	DET
ejpam-2456	15	76	banach	banach	NOUN
ejpam-2456	15	77	space	space	NOUN
ejpam-2456	15	78	∗corresponding	∗corresponde	VERB
ejpam-2456	15	79	author	author	NOUN
ejpam-2456	15	80	.	.	PUNCT
ejpam-2456	16	1	email	email	NOUN
ejpam-2456	16	2	addresses	address	NOUN
ejpam-2456	16	3	:	:	PUNCT
ejpam-2456	16	4	ouadjillali@yahoo.fr	ouadjillali@yahoo.fr	PROPN
ejpam-2456	16	5	(	(	PUNCT
ejpam-2456	16	6	d.	d.	PROPN
ejpam-2456	16	7	aoued	aoued	PROPN
ejpam-2456	16	8	)	)	PUNCT
ejpam-2456	16	9	,	,	PUNCT
ejpam-2456	16	10	selma_baghli@yahoo.fr	selma_baghli@yahoo.fr	NOUN
ejpam-2456	16	11	(	(	PUNCT
ejpam-2456	16	12	s.	s.	PROPN
ejpam-2456	16	13	baghli	baghli	PROPN
ejpam-2456	16	14	-	-	PUNCT
ejpam-2456	16	15	bendimerad	bendimerad	PROPN
ejpam-2456	16	16	)	)	PUNCT
ejpam-2456	16	17	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-2456	17	1	383	383	NUM
ejpam-2456	17	2	c	c	NOUN
ejpam-2456	17	3	©	©	PROPN
ejpam-2456	17	4	2016	2016	NUM
ejpam-2456	17	5	ejpam	ejpam	VERB
ejpam-2456	17	6	all	all	DET
ejpam-2456	17	7	rights	right	NOUN
ejpam-2456	17	8	reserved	reserve	VERB
ejpam-2456	17	9	.	.	PUNCT
ejpam-2456	18	1	d.	d.	PROPN
ejpam-2456	18	2	aoued	aoued	PROPN
ejpam-2456	18	3	,	,	PUNCT
ejpam-2456	18	4	s.	s.	PROPN
ejpam-2456	18	5	baghli	baghli	PROPN
ejpam-2456	18	6	-	-	PUNCT
ejpam-2456	18	7	bendimerad	bendimerad	PROPN
ejpam-2456	18	8	/	/	SYM
ejpam-2456	18	9	eur	eur	PROPN
ejpam-2456	18	10	.	.	PUNCT
ejpam-2456	19	1	j.	j.	PROPN
ejpam-2456	19	2	pure	pure	PROPN
ejpam-2456	19	3	appl	appl	PROPN
ejpam-2456	19	4	.	.	PROPN
ejpam-2456	19	5	math	math	PROPN
ejpam-2456	19	6	,	,	PUNCT
ejpam-2456	19	7	9	9	NUM
ejpam-2456	19	8	(	(	PUNCT
ejpam-2456	19	9	2016	2016	NUM
ejpam-2456	19	10	)	)	PUNCT
ejpam-2456	19	11	,	,	PUNCT
ejpam-2456	19	12	383	383	NUM
ejpam-2456	19	13	-	-	SYM
ejpam-2456	19	14	401	401	NUM
ejpam-2456	19	15	384	384	NUM
ejpam-2456	19	16	of	of	ADP
ejpam-2456	19	17	admissible	admissible	ADJ
ejpam-2456	19	18	control	control	NOUN
ejpam-2456	19	19	function	function	NOUN
ejpam-2456	19	20	with	with	ADP
ejpam-2456	19	21	e	e	PROPN
ejpam-2456	19	22	is	be	AUX
ejpam-2456	19	23	a	a	DET
ejpam-2456	19	24	real	real	ADJ
ejpam-2456	19	25	separable	separable	ADJ
ejpam-2456	19	26	banach	banach	NOUN
ejpam-2456	19	27	space	space	NOUN
ejpam-2456	19	28	with	with	ADP
ejpam-2456	19	29	the	the	DET
ejpam-2456	19	30	norm	norm	NOUN
ejpam-2456	19	31	|	|	ADV
ejpam-2456	19	32	·	·	PUNCT
ejpam-2456	19	33	|	|	ADV
ejpam-2456	19	34	,	,	PUNCT
ejpam-2456	19	35	c	c	PROPN
ejpam-2456	19	36	is	be	AUX
ejpam-2456	19	37	a	a	DET
ejpam-2456	19	38	bounded	bounded	ADJ
ejpam-2456	19	39	linear	linear	ADJ
ejpam-2456	19	40	operator	operator	NOUN
ejpam-2456	19	41	from	from	ADP
ejpam-2456	19	42	e	e	NOUN
ejpam-2456	19	43	into	into	ADP
ejpam-2456	19	44	e	e	NOUN
ejpam-2456	19	45	and	and	CCONJ
ejpam-2456	19	46	{	{	PUNCT
ejpam-2456	19	47	a(t)}0≤t<+∞	a(t)}0≤t<+∞	NOUN
ejpam-2456	19	48	is	be	AUX
ejpam-2456	19	49	a	a	DET
ejpam-2456	19	50	family	family	NOUN
ejpam-2456	19	51	of	of	ADP
ejpam-2456	19	52	linear	linear	PROPN
ejpam-2456	19	53	closed	closed	ADJ
ejpam-2456	19	54	(	(	PUNCT
ejpam-2456	19	55	not	not	PART
ejpam-2456	19	56	necessarily	necessarily	ADV
ejpam-2456	19	57	bounded	bound	VERB
ejpam-2456	19	58	)	)	PUNCT
ejpam-2456	19	59	operators	operator	NOUN
ejpam-2456	19	60	from	from	ADP
ejpam-2456	19	61	e	e	NOUN
ejpam-2456	19	62	into	into	ADP
ejpam-2456	19	63	e	e	NOUN
ejpam-2456	19	64	that	that	PRON
ejpam-2456	19	65	generates	generate	VERB
ejpam-2456	19	66	an	an	DET
ejpam-2456	19	67	evolution	evolution	NOUN
ejpam-2456	19	68	system	system	NOUN
ejpam-2456	19	69	of	of	ADP
ejpam-2456	19	70	operators	operator	NOUN
ejpam-2456	19	71	{	{	PUNCT
ejpam-2456	19	72	u(t	u(t	PROPN
ejpam-2456	19	73	,	,	PUNCT
ejpam-2456	19	74	s)}(t	s)}(t	NOUN
ejpam-2456	19	75	,	,	PUNCT
ejpam-2456	19	76	s)∈j×j	s)∈j×j	VERB
ejpam-2456	19	77	for	for	ADP
ejpam-2456	19	78	s	s	PROPN
ejpam-2456	19	79	≤	≤	NOUN
ejpam-2456	19	80	t.	t.	NOUN
ejpam-2456	19	81	for	for	ADP
ejpam-2456	19	82	any	any	DET
ejpam-2456	19	83	continuous	continuous	ADJ
ejpam-2456	19	84	function	function	NOUN
ejpam-2456	19	85	y	y	PROPN
ejpam-2456	19	86	and	and	CCONJ
ejpam-2456	19	87	any	any	DET
ejpam-2456	19	88	t	t	NOUN
ejpam-2456	19	89	≤	≤	NUM
ejpam-2456	19	90	0	0	NUM
ejpam-2456	19	91	,	,	PUNCT
ejpam-2456	19	92	we	we	PRON
ejpam-2456	19	93	denote	denote	VERB
ejpam-2456	19	94	by	by	ADP
ejpam-2456	19	95	yt	yt	PRON
ejpam-2456	19	96	the	the	DET
ejpam-2456	19	97	element	element	NOUN
ejpam-2456	19	98	of	of	ADP
ejpam-2456	19	99	b	b	NOUN
ejpam-2456	19	100	defined	define	VERB
ejpam-2456	19	101	by	by	ADP
ejpam-2456	19	102	yt(θ	yt(θ	X
ejpam-2456	19	103	)	)	PUNCT
ejpam-2456	20	1	=	=	PUNCT
ejpam-2456	21	1	y(t	y(t	NOUN
ejpam-2456	21	2	+	+	NUM
ejpam-2456	21	3	θ	θ	NOUN
ejpam-2456	21	4	)	)	PUNCT
ejpam-2456	22	1	for	for	ADP
ejpam-2456	22	2	θ	θ	PROPN
ejpam-2456	22	3	≤	≤	NUM
ejpam-2456	22	4	0	0	NUM
ejpam-2456	22	5	:	:	PUNCT
ejpam-2456	22	6	here	here	ADV
ejpam-2456	22	7	yt	yt	PROPN
ejpam-2456	22	8	(	(	PUNCT
ejpam-2456	22	9	·	·	PUNCT
ejpam-2456	22	10	)	)	PUNCT
ejpam-2456	22	11	represents	represent	VERB
ejpam-2456	22	12	the	the	DET
ejpam-2456	22	13	history	history	NOUN
ejpam-2456	22	14	of	of	ADP
ejpam-2456	22	15	the	the	DET
ejpam-2456	22	16	state	state	NOUN
ejpam-2456	22	17	from	from	ADP
ejpam-2456	22	18	time	time	NOUN
ejpam-2456	22	19	t	t	PROPN
ejpam-2456	22	20	≤	≤	NOUN
ejpam-2456	22	21	0	0	NUM
ejpam-2456	22	22	up	up	ADP
ejpam-2456	22	23	to	to	ADP
ejpam-2456	22	24	the	the	DET
ejpam-2456	22	25	present	present	ADJ
ejpam-2456	22	26	time	time	NOUN
ejpam-2456	22	27	t.	t.	PROPN
ejpam-2456	22	28	finally	finally	ADV
ejpam-2456	22	29	in	in	ADP
ejpam-2456	22	30	section	section	NOUN
ejpam-2456	22	31	5	5	NUM
ejpam-2456	22	32	,	,	PUNCT
ejpam-2456	22	33	we	we	PRON
ejpam-2456	22	34	illustrate	illustrate	VERB
ejpam-2456	22	35	by	by	ADP
ejpam-2456	22	36	examples	example	NOUN
ejpam-2456	22	37	the	the	DET
ejpam-2456	22	38	previous	previous	ADJ
ejpam-2456	22	39	abstract	abstract	ADJ
ejpam-2456	22	40	theory	theory	NOUN
ejpam-2456	22	41	obtained	obtain	VERB
ejpam-2456	22	42	.	.	PUNCT
ejpam-2456	23	1	controllability	controllability	NOUN
ejpam-2456	23	2	problem	problem	NOUN
ejpam-2456	23	3	of	of	ADP
ejpam-2456	23	4	linear	linear	PROPN
ejpam-2456	23	5	and	and	CCONJ
ejpam-2456	23	6	nonlinear	nonlinear	ADJ
ejpam-2456	23	7	systems	system	NOUN
ejpam-2456	23	8	represented	represent	VERB
ejpam-2456	23	9	by	by	ADP
ejpam-2456	23	10	odes	ode	NOUN
ejpam-2456	23	11	in	in	ADP
ejpam-2456	23	12	finite	finite	ADJ
ejpam-2456	23	13	dimensional	dimensional	ADJ
ejpam-2456	23	14	space	space	NOUN
ejpam-2456	23	15	has	have	AUX
ejpam-2456	23	16	been	be	AUX
ejpam-2456	23	17	extensively	extensively	ADV
ejpam-2456	23	18	studied	study	VERB
ejpam-2456	23	19	.	.	PUNCT
ejpam-2456	24	1	several	several	ADJ
ejpam-2456	24	2	authors	author	NOUN
ejpam-2456	24	3	have	have	AUX
ejpam-2456	24	4	extended	extend	VERB
ejpam-2456	24	5	the	the	DET
ejpam-2456	24	6	controllability	controllability	NOUN
ejpam-2456	24	7	concept	concept	NOUN
ejpam-2456	24	8	to	to	PART
ejpam-2456	24	9	infinite	infinite	VERB
ejpam-2456	24	10	dimensional	dimensional	ADJ
ejpam-2456	24	11	systems	system	NOUN
ejpam-2456	24	12	in	in	ADP
ejpam-2456	24	13	banach	banach	NOUN
ejpam-2456	24	14	space	space	NOUN
ejpam-2456	24	15	with	with	ADP
ejpam-2456	24	16	unbounded	unbounded	ADJ
ejpam-2456	24	17	operators	operator	NOUN
ejpam-2456	24	18	(	(	PUNCT
ejpam-2456	24	19	see	see	VERB
ejpam-2456	24	20	[	[	X
ejpam-2456	24	21	13	13	NUM
ejpam-2456	24	22	,	,	PUNCT
ejpam-2456	24	23	28	28	NUM
ejpam-2456	24	24	]	]	PUNCT
ejpam-2456	24	25	)	)	PUNCT
ejpam-2456	24	26	and	and	CCONJ
ejpam-2456	24	27	developed	develop	VERB
ejpam-2456	24	28	more	more	ADJ
ejpam-2456	24	29	results	result	NOUN
ejpam-2456	24	30	in	in	ADP
ejpam-2456	24	31	[	[	X
ejpam-2456	24	32	26	26	NUM
ejpam-2456	24	33	,	,	PUNCT
ejpam-2456	24	34	30	30	NUM
ejpam-2456	24	35	,	,	PUNCT
ejpam-2456	24	36	34	34	NUM
ejpam-2456	24	37	]	]	PUNCT
ejpam-2456	24	38	.	.	PUNCT
ejpam-2456	25	1	carmichael	carmichael	PROPN
ejpam-2456	25	2	and	and	CCONJ
ejpam-2456	25	3	quinn	quinn	NOUN
ejpam-2456	26	1	[	[	X
ejpam-2456	26	2	12	12	NUM
ejpam-2456	26	3	]	]	PUNCT
ejpam-2456	26	4	have	have	AUX
ejpam-2456	26	5	shown	show	VERB
ejpam-2456	26	6	that	that	SCONJ
ejpam-2456	26	7	the	the	DET
ejpam-2456	26	8	controllability	controllability	NOUN
ejpam-2456	26	9	problem	problem	NOUN
ejpam-2456	26	10	can	can	AUX
ejpam-2456	26	11	be	be	AUX
ejpam-2456	26	12	converted	convert	VERB
ejpam-2456	26	13	into	into	ADP
ejpam-2456	26	14	a	a	DET
ejpam-2456	26	15	fixed	fix	VERB
ejpam-2456	26	16	point	point	NOUN
ejpam-2456	26	17	problem	problem	NOUN
ejpam-2456	26	18	.	.	PUNCT
ejpam-2456	27	1	then	then	ADV
ejpam-2456	27	2	,	,	PUNCT
ejpam-2456	27	3	interesting	interesting	ADJ
ejpam-2456	27	4	controllability	controllability	NOUN
ejpam-2456	27	5	results	result	NOUN
ejpam-2456	27	6	are	be	AUX
ejpam-2456	27	7	given	give	VERB
ejpam-2456	27	8	for	for	ADP
ejpam-2456	27	9	neutral	neutral	ADJ
ejpam-2456	27	10	problems	problem	NOUN
ejpam-2456	27	11	with	with	ADP
ejpam-2456	27	12	impulses	impulse	NOUN
ejpam-2456	27	13	by	by	ADP
ejpam-2456	27	14	balachandran	balachandran	PROPN
ejpam-2456	27	15	et	et	PROPN
ejpam-2456	27	16	al	al	PROPN
ejpam-2456	27	17	.	.	PUNCT
ejpam-2456	28	1	in	in	ADP
ejpam-2456	28	2	[	[	X
ejpam-2456	28	3	4	4	NUM
ejpam-2456	28	4	]	]	PUNCT
ejpam-2456	28	5	and	and	CCONJ
ejpam-2456	28	6	for	for	ADP
ejpam-2456	28	7	integrodifferential	integrodifferential	ADJ
ejpam-2456	28	8	equations	equation	NOUN
ejpam-2456	28	9	by	by	ADP
ejpam-2456	28	10	machado	machado	PROPN
ejpam-2456	28	11	et	et	PROPN
ejpam-2456	28	12	al	al	PROPN
ejpam-2456	28	13	.	.	PUNCT
ejpam-2456	29	1	in	in	ADP
ejpam-2456	29	2	[	[	X
ejpam-2456	29	3	27	27	NUM
ejpam-2456	29	4	]	]	PUNCT
ejpam-2456	29	5	and	and	CCONJ
ejpam-2456	29	6	for	for	ADP
ejpam-2456	29	7	inclusions	inclusion	NOUN
ejpam-2456	29	8	by	by	ADP
ejpam-2456	29	9	gunasekar	gunasekar	PROPN
ejpam-2456	29	10	et	et	PROPN
ejpam-2456	29	11	al	al	PROPN
ejpam-2456	29	12	.	.	PUNCT
ejpam-2456	30	1	in	in	ADP
ejpam-2456	30	2	[	[	X
ejpam-2456	30	3	18	18	NUM
ejpam-2456	30	4	,	,	PUNCT
ejpam-2456	30	5	19	19	NUM
ejpam-2456	30	6	,	,	PUNCT
ejpam-2456	30	7	31	31	NUM
ejpam-2456	30	8	]	]	PUNCT
ejpam-2456	30	9	.	.	PUNCT
ejpam-2456	31	1	recently	recently	ADV
ejpam-2456	31	2	baghli	baghli	PROPN
ejpam-2456	31	3	et	et	PROPN
ejpam-2456	31	4	al	al	PROPN
ejpam-2456	31	5	.	.	PROPN
ejpam-2456	31	6	have	have	AUX
ejpam-2456	31	7	studied	study	VERB
ejpam-2456	31	8	many	many	ADJ
ejpam-2456	31	9	classes	class	NOUN
ejpam-2456	31	10	of	of	ADP
ejpam-2456	31	11	functional	functional	ADJ
ejpam-2456	31	12	evolution	evolution	NOUN
ejpam-2456	31	13	equations	equation	NOUN
ejpam-2456	31	14	and	and	CCONJ
ejpam-2456	31	15	inclusions	inclusion	NOUN
ejpam-2456	31	16	in	in	ADP
ejpam-2456	31	17	[	[	X
ejpam-2456	31	18	6	6	NUM
ejpam-2456	31	19	,	,	PUNCT
ejpam-2456	31	20	7	7	NUM
ejpam-2456	31	21	]	]	PUNCT
ejpam-2456	31	22	and	and	CCONJ
ejpam-2456	31	23	proposed	propose	VERB
ejpam-2456	31	24	some	some	DET
ejpam-2456	31	25	controllability	controllability	NOUN
ejpam-2456	31	26	results	result	NOUN
ejpam-2456	31	27	in	in	ADP
ejpam-2456	31	28	[	[	X
ejpam-2456	31	29	1	1	NUM
ejpam-2456	31	30	]	]	PUNCT
ejpam-2456	31	31	and	and	CCONJ
ejpam-2456	31	32	[	[	X
ejpam-2456	31	33	8	8	NUM
ejpam-2456	31	34	]	]	PUNCT
ejpam-2456	31	35	when	when	SCONJ
ejpam-2456	31	36	the	the	DET
ejpam-2456	31	37	delay	delay	NOUN
ejpam-2456	31	38	is	be	AUX
ejpam-2456	31	39	finite	finite	ADJ
ejpam-2456	31	40	and	and	CCONJ
ejpam-2456	31	41	infinite	infinite	ADJ
ejpam-2456	31	42	.	.	PUNCT
ejpam-2456	32	1	however	however	ADV
ejpam-2456	32	2	,	,	PUNCT
ejpam-2456	32	3	complicated	complicated	ADJ
ejpam-2456	32	4	situations	situation	NOUN
ejpam-2456	32	5	in	in	ADP
ejpam-2456	32	6	which	which	PRON
ejpam-2456	32	7	the	the	DET
ejpam-2456	32	8	delay	delay	NOUN
ejpam-2456	32	9	depends	depend	VERB
ejpam-2456	32	10	on	on	ADP
ejpam-2456	32	11	the	the	DET
ejpam-2456	32	12	unknown	unknown	ADJ
ejpam-2456	32	13	functions	function	NOUN
ejpam-2456	32	14	have	have	AUX
ejpam-2456	32	15	been	be	AUX
ejpam-2456	32	16	proposed	propose	VERB
ejpam-2456	32	17	in	in	ADP
ejpam-2456	32	18	modelling	modelling	NOUN
ejpam-2456	32	19	in	in	ADP
ejpam-2456	32	20	recent	recent	ADJ
ejpam-2456	32	21	years	year	NOUN
ejpam-2456	32	22	.	.	PUNCT
ejpam-2456	33	1	these	these	DET
ejpam-2456	33	2	equations	equation	NOUN
ejpam-2456	33	3	are	be	AUX
ejpam-2456	33	4	frequently	frequently	ADV
ejpam-2456	33	5	called	call	VERB
ejpam-2456	33	6	equations	equation	NOUN
ejpam-2456	33	7	with	with	ADP
ejpam-2456	33	8	state	state	NOUN
ejpam-2456	33	9	-	-	PUNCT
ejpam-2456	33	10	dependent	dependent	ADJ
ejpam-2456	33	11	delay	delay	NOUN
ejpam-2456	33	12	.	.	PUNCT
ejpam-2456	34	1	often	often	ADV
ejpam-2456	34	2	,	,	PUNCT
ejpam-2456	34	3	it	it	PRON
ejpam-2456	34	4	has	have	AUX
ejpam-2456	34	5	been	be	AUX
ejpam-2456	34	6	assumed	assume	VERB
ejpam-2456	34	7	that	that	SCONJ
ejpam-2456	34	8	the	the	DET
ejpam-2456	34	9	delay	delay	NOUN
ejpam-2456	34	10	is	be	AUX
ejpam-2456	34	11	either	either	CCONJ
ejpam-2456	34	12	a	a	DET
ejpam-2456	34	13	fixed	fix	VERB
ejpam-2456	34	14	constant	constant	ADJ
ejpam-2456	34	15	or	or	CCONJ
ejpam-2456	34	16	is	be	AUX
ejpam-2456	34	17	given	give	VERB
ejpam-2456	34	18	as	as	ADP
ejpam-2456	34	19	an	an	DET
ejpam-2456	34	20	integral	integral	ADJ
ejpam-2456	34	21	in	in	ADP
ejpam-2456	34	22	which	which	DET
ejpam-2456	34	23	case	case	NOUN
ejpam-2456	34	24	is	be	AUX
ejpam-2456	34	25	called	call	VERB
ejpam-2456	34	26	distributed	distribute	VERB
ejpam-2456	34	27	delay	delay	NOUN
ejpam-2456	34	28	;	;	PUNCT
ejpam-2456	34	29	see	see	VERB
ejpam-2456	34	30	for	for	ADP
ejpam-2456	34	31	instance	instance	NOUN
ejpam-2456	34	32	the	the	DET
ejpam-2456	34	33	books	book	NOUN
ejpam-2456	35	1	[	[	X
ejpam-2456	35	2	21	21	NUM
ejpam-2456	35	3	,	,	PUNCT
ejpam-2456	35	4	24	24	NUM
ejpam-2456	35	5	,	,	PUNCT
ejpam-2456	35	6	32	32	NUM
ejpam-2456	35	7	]	]	PUNCT
ejpam-2456	35	8	,	,	PUNCT
ejpam-2456	35	9	and	and	CCONJ
ejpam-2456	35	10	the	the	DET
ejpam-2456	35	11	papers	paper	NOUN
ejpam-2456	35	12	[	[	X
ejpam-2456	35	13	14	14	NUM
ejpam-2456	35	14	,	,	PUNCT
ejpam-2456	35	15	20	20	NUM
ejpam-2456	35	16	]	]	PUNCT
ejpam-2456	35	17	.	.	PUNCT
ejpam-2456	36	1	existence	existence	NOUN
ejpam-2456	36	2	results	result	NOUN
ejpam-2456	36	3	and	and	CCONJ
ejpam-2456	36	4	among	among	ADP
ejpam-2456	36	5	other	other	ADJ
ejpam-2456	36	6	things	thing	NOUN
ejpam-2456	36	7	were	be	AUX
ejpam-2456	36	8	derived	derive	VERB
ejpam-2456	36	9	recently	recently	ADV
ejpam-2456	36	10	for	for	ADP
ejpam-2456	36	11	functional	functional	ADJ
ejpam-2456	36	12	differential	differential	ADJ
ejpam-2456	36	13	equations	equation	NOUN
ejpam-2456	36	14	when	when	SCONJ
ejpam-2456	36	15	the	the	DET
ejpam-2456	36	16	solution	solution	NOUN
ejpam-2456	36	17	is	be	AUX
ejpam-2456	36	18	depending	depend	VERB
ejpam-2456	36	19	on	on	ADP
ejpam-2456	36	20	the	the	DET
ejpam-2456	36	21	delay	delay	NOUN
ejpam-2456	36	22	on	on	ADP
ejpam-2456	36	23	a	a	DET
ejpam-2456	36	24	bounded	bounded	ADJ
ejpam-2456	36	25	interval	interval	NOUN
ejpam-2456	36	26	for	for	ADP
ejpam-2456	36	27	impulsive	impulsive	ADJ
ejpam-2456	36	28	problems	problem	NOUN
ejpam-2456	36	29	.	.	PUNCT
ejpam-2456	37	1	we	we	PRON
ejpam-2456	37	2	refer	refer	VERB
ejpam-2456	37	3	the	the	DET
ejpam-2456	37	4	reader	reader	NOUN
ejpam-2456	37	5	to	to	ADP
ejpam-2456	37	6	the	the	DET
ejpam-2456	37	7	papers	paper	NOUN
ejpam-2456	37	8	by	by	ADP
ejpam-2456	37	9	hernandez	hernandez	PROPN
ejpam-2456	37	10	et	et	PROPN
ejpam-2456	37	11	al	al	PROPN
ejpam-2456	37	12	.	.	PUNCT
ejpam-2456	38	1	[	[	X
ejpam-2456	38	2	22	22	NUM
ejpam-2456	38	3	]	]	PUNCT
ejpam-2456	38	4	and	and	CCONJ
ejpam-2456	38	5	li	li	PROPN
ejpam-2456	38	6	et	et	PROPN
ejpam-2456	38	7	al	al	PROPN
ejpam-2456	38	8	.	.	PUNCT
ejpam-2456	39	1	[	[	X
ejpam-2456	39	2	25	25	NUM
ejpam-2456	39	3	]	]	PUNCT
ejpam-2456	39	4	.	.	PUNCT
ejpam-2456	40	1	very	very	ADV
ejpam-2456	40	2	recently	recently	ADV
ejpam-2456	40	3	,	,	PUNCT
ejpam-2456	40	4	baghli	baghli	PROPN
ejpam-2456	40	5	et	et	PROPN
ejpam-2456	40	6	al	al	PROPN
ejpam-2456	40	7	.	.	PROPN
ejpam-2456	40	8	considered	consider	VERB
ejpam-2456	40	9	when	when	SCONJ
ejpam-2456	40	10	the	the	DET
ejpam-2456	40	11	solution	solution	NOUN
ejpam-2456	40	12	is	be	AUX
ejpam-2456	40	13	depending	depend	VERB
ejpam-2456	40	14	in	in	ADP
ejpam-2456	40	15	the	the	DET
ejpam-2456	40	16	delay	delay	NOUN
ejpam-2456	40	17	for	for	ADP
ejpam-2456	40	18	evolution	evolution	NOUN
ejpam-2456	40	19	equations	equation	NOUN
ejpam-2456	40	20	in	in	ADP
ejpam-2456	40	21	[	[	X
ejpam-2456	40	22	9	9	NUM
ejpam-2456	40	23	]	]	PUNCT
ejpam-2456	40	24	,	,	PUNCT
ejpam-2456	40	25	for	for	ADP
ejpam-2456	40	26	multivalued	multivalued	ADJ
ejpam-2456	40	27	problems	problem	NOUN
ejpam-2456	40	28	in	in	ADP
ejpam-2456	40	29	[	[	X
ejpam-2456	40	30	10	10	NUM
ejpam-2456	40	31	]	]	PUNCT
ejpam-2456	40	32	and	and	CCONJ
ejpam-2456	40	33	for	for	ADP
ejpam-2456	40	34	perturbed	perturb	VERB
ejpam-2456	40	35	evolution	evolution	NOUN
ejpam-2456	40	36	equations	equation	NOUN
ejpam-2456	40	37	in	in	ADP
ejpam-2456	40	38	[	[	X
ejpam-2456	40	39	3	3	NUM
ejpam-2456	40	40	]	]	PUNCT
ejpam-2456	40	41	.	.	PUNCT
ejpam-2456	41	1	our	our	PRON
ejpam-2456	41	2	main	main	ADJ
ejpam-2456	41	3	purpose	purpose	NOUN
ejpam-2456	41	4	in	in	ADP
ejpam-2456	41	5	this	this	DET
ejpam-2456	41	6	paper	paper	NOUN
ejpam-2456	41	7	is	be	AUX
ejpam-2456	41	8	to	to	PART
ejpam-2456	41	9	extend	extend	VERB
ejpam-2456	41	10	the	the	DET
ejpam-2456	41	11	controllability	controllability	NOUN
ejpam-2456	41	12	results	result	NOUN
ejpam-2456	41	13	obtained	obtain	VERB
ejpam-2456	41	14	by	by	ADP
ejpam-2456	41	15	baghli	baghli	PROPN
ejpam-2456	41	16	et	et	PROPN
ejpam-2456	41	17	al	al	PROPN
ejpam-2456	41	18	.	.	PUNCT
ejpam-2456	42	1	in	in	ADP
ejpam-2456	42	2	[	[	X
ejpam-2456	42	3	1	1	NUM
ejpam-2456	42	4	]	]	PUNCT
ejpam-2456	42	5	and	and	CCONJ
ejpam-2456	42	6	[	[	X
ejpam-2456	42	7	8	8	NUM
ejpam-2456	42	8	]	]	PUNCT
ejpam-2456	42	9	when	when	SCONJ
ejpam-2456	42	10	ρ(t	ρ(t	NUM
ejpam-2456	42	11	,	,	PUNCT
ejpam-2456	42	12	yt	yt	NOUN
ejpam-2456	42	13	)	)	PUNCT
ejpam-2456	42	14	=	=	SYM
ejpam-2456	42	15	t	t	NOUN
ejpam-2456	42	16	to	to	ADP
ejpam-2456	42	17	the	the	DET
ejpam-2456	42	18	control	control	NOUN
ejpam-2456	42	19	problems	problem	NOUN
ejpam-2456	42	20	(	(	PUNCT
ejpam-2456	42	21	1	1	NUM
ejpam-2456	42	22	)	)	PUNCT
ejpam-2456	42	23	and	and	CCONJ
ejpam-2456	42	24	(	(	PUNCT
ejpam-2456	42	25	2	2	X
ejpam-2456	42	26	)	)	PUNCT
ejpam-2456	42	27	with	with	ADP
ejpam-2456	42	28	infinite	infinite	ADJ
ejpam-2456	42	29	statedependent	statedependent	NOUN
ejpam-2456	42	30	delay	delay	NOUN
ejpam-2456	42	31	as	as	ADP
ejpam-2456	42	32	in	in	ADP
ejpam-2456	42	33	[	[	PUNCT
ejpam-2456	42	34	9	9	NUM
ejpam-2456	42	35	]	]	PUNCT
ejpam-2456	42	36	.	.	PUNCT
ejpam-2456	43	1	we	we	PRON
ejpam-2456	43	2	provide	provide	VERB
ejpam-2456	43	3	sufficient	sufficient	ADJ
ejpam-2456	43	4	conditions	condition	NOUN
ejpam-2456	43	5	for	for	ADP
ejpam-2456	43	6	the	the	DET
ejpam-2456	43	7	existence	existence	NOUN
ejpam-2456	43	8	of	of	ADP
ejpam-2456	43	9	mild	mild	ADJ
ejpam-2456	43	10	solutions	solution	NOUN
ejpam-2456	43	11	using	use	VERB
ejpam-2456	43	12	the	the	DET
ejpam-2456	43	13	nonlinear	nonlinear	ADJ
ejpam-2456	43	14	alternative	alternative	NOUN
ejpam-2456	43	15	of	of	ADP
ejpam-2456	43	16	avramescu	avramescu	NOUN
ejpam-2456	43	17	[	[	X
ejpam-2456	43	18	5	5	NUM
ejpam-2456	43	19	]	]	PUNCT
ejpam-2456	43	20	due	due	ADP
ejpam-2456	43	21	to	to	ADP
ejpam-2456	43	22	burton	burton	PROPN
ejpam-2456	43	23	and	and	CCONJ
ejpam-2456	43	24	kirk	kirk	PROPN
ejpam-2456	44	1	[	[	X
ejpam-2456	44	2	11	11	NUM
ejpam-2456	44	3	]	]	PUNCT
ejpam-2456	44	4	for	for	ADP
ejpam-2456	44	5	contractions	contraction	NOUN
ejpam-2456	44	6	maps	map	NOUN
ejpam-2456	44	7	in	in	ADP
ejpam-2456	44	8	fréchet	fréchet	NOUN
ejpam-2456	44	9	spaces	space	NOUN
ejpam-2456	44	10	,	,	PUNCT
ejpam-2456	44	11	combined	combine	VERB
ejpam-2456	44	12	with	with	ADP
ejpam-2456	44	13	semigroup	semigroup	PROPN
ejpam-2456	44	14	theory	theory	NOUN
ejpam-2456	44	15	[	[	X
ejpam-2456	44	16	2	2	NUM
ejpam-2456	44	17	,	,	PUNCT
ejpam-2456	44	18	29	29	NUM
ejpam-2456	44	19	]	]	PUNCT
ejpam-2456	44	20	.	.	PUNCT
ejpam-2456	45	1	2	2	X
ejpam-2456	45	2	.	.	X
ejpam-2456	45	3	preliminaries	preliminary	NOUN
ejpam-2456	45	4	we	we	PRON
ejpam-2456	45	5	introduce	introduce	VERB
ejpam-2456	45	6	notations	notation	NOUN
ejpam-2456	45	7	,	,	PUNCT
ejpam-2456	45	8	definitions	definition	NOUN
ejpam-2456	45	9	and	and	CCONJ
ejpam-2456	45	10	theorems	theorem	NOUN
ejpam-2456	45	11	which	which	PRON
ejpam-2456	45	12	are	be	AUX
ejpam-2456	45	13	used	use	VERB
ejpam-2456	45	14	in	in	ADP
ejpam-2456	45	15	this	this	DET
ejpam-2456	45	16	paper	paper	NOUN
ejpam-2456	45	17	.	.	PUNCT
ejpam-2456	46	1	let	let	VERB
ejpam-2456	46	2	c(r+	c(r+	NOUN
ejpam-2456	46	3	;	;	PUNCT
ejpam-2456	46	4	e	e	X
ejpam-2456	46	5	)	)	PUNCT
ejpam-2456	46	6	be	be	AUX
ejpam-2456	46	7	the	the	DET
ejpam-2456	46	8	space	space	NOUN
ejpam-2456	46	9	of	of	ADP
ejpam-2456	46	10	continuous	continuous	ADJ
ejpam-2456	46	11	functions	function	NOUN
ejpam-2456	46	12	from	from	ADP
ejpam-2456	46	13	r+	r+	NOUN
ejpam-2456	46	14	into	into	ADP
ejpam-2456	46	15	e	e	NOUN
ejpam-2456	46	16	and	and	CCONJ
ejpam-2456	46	17	b(e	b(e	PROPN
ejpam-2456	46	18	)	)	PUNCT
ejpam-2456	46	19	be	be	AUX
ejpam-2456	46	20	the	the	DET
ejpam-2456	46	21	space	space	NOUN
ejpam-2456	46	22	of	of	ADP
ejpam-2456	46	23	all	all	DET
ejpam-2456	46	24	bounded	bound	VERB
ejpam-2456	46	25	linearoperators	linearoperator	NOUN
ejpam-2456	46	26	from	from	ADP
ejpam-2456	46	27	e	e	PROPN
ejpam-2456	46	28	into	into	ADP
ejpam-2456	46	29	e	e	NOUN
ejpam-2456	46	30	,	,	PUNCT
ejpam-2456	46	31	with	with	ADP
ejpam-2456	46	32	the	the	DET
ejpam-2456	46	33	usual	usual	ADJ
ejpam-2456	46	34	supremum	supremum	ADJ
ejpam-2456	46	35	norm	norm	NOUN
ejpam-2456	46	36	‖n‖b(e	‖n‖b(e	NOUN
ejpam-2456	46	37	)	)	PUNCT
ejpam-2456	46	38	=	=	SYM
ejpam-2456	46	39	sup	sup	NOUN
ejpam-2456	46	40	{	{	PUNCT
ejpam-2456	46	41	|n(y)|	|n(y)|	PROPN
ejpam-2456	46	42	:	:	PUNCT
ejpam-2456	46	43	|y|=	|y|=	NOUN
ejpam-2456	46	44	1	1	NUM
ejpam-2456	46	45	}	}	PUNCT
ejpam-2456	46	46	for	for	ADP
ejpam-2456	46	47	all	all	DET
ejpam-2456	46	48	n	n	PRON
ejpam-2456	46	49	∈	∈	PROPN
ejpam-2456	46	50	b(e	b(e	PROPN
ejpam-2456	46	51	)	)	PUNCT
ejpam-2456	46	52	.	.	PUNCT
ejpam-2456	47	1	a	a	DET
ejpam-2456	47	2	measurable	measurable	ADJ
ejpam-2456	47	3	function	function	NOUN
ejpam-2456	47	4	y	y	PROPN
ejpam-2456	47	5	:	:	PUNCT
ejpam-2456	47	6	r+	r+	X
ejpam-2456	47	7	→	→	PUNCT
ejpam-2456	47	8	e	e	X
ejpam-2456	47	9	is	be	AUX
ejpam-2456	47	10	bochner	bochner	ADV
ejpam-2456	47	11	integrable	integrable	ADJ
ejpam-2456	47	12	if	if	SCONJ
ejpam-2456	47	13	and	and	CCONJ
ejpam-2456	47	14	only	only	ADV
ejpam-2456	47	15	if	if	SCONJ
ejpam-2456	47	16	|y|	|y|	PROPN
ejpam-2456	47	17	is	be	AUX
ejpam-2456	47	18	lebesgue	lebesgue	ADV
ejpam-2456	47	19	integrable	integrable	ADJ
ejpam-2456	47	20	(	(	PUNCT
ejpam-2456	47	21	see	see	VERB
ejpam-2456	47	22	the	the	DET
ejpam-2456	47	23	bochner	bochner	NOUN
ejpam-2456	47	24	integral	integral	ADJ
ejpam-2456	47	25	properties	property	NOUN
ejpam-2456	47	26	in	in	ADP
ejpam-2456	47	27	yosida	yosida	PROPN
ejpam-2456	48	1	[	[	X
ejpam-2456	48	2	33	33	NUM
ejpam-2456	48	3	]	]	PUNCT
ejpam-2456	48	4	)	)	PUNCT
ejpam-2456	48	5	.	.	PUNCT
ejpam-2456	49	1	d.	d.	PROPN
ejpam-2456	49	2	aoued	aoued	PROPN
ejpam-2456	49	3	,	,	PUNCT
ejpam-2456	49	4	s.	s.	PROPN
ejpam-2456	49	5	baghli	baghli	PROPN
ejpam-2456	49	6	-	-	PUNCT
ejpam-2456	49	7	bendimerad	bendimerad	PROPN
ejpam-2456	49	8	/	/	SYM
ejpam-2456	49	9	eur	eur	PROPN
ejpam-2456	49	10	.	.	PUNCT
ejpam-2456	50	1	j.	j.	PROPN
ejpam-2456	50	2	pure	pure	PROPN
ejpam-2456	50	3	appl	appl	PROPN
ejpam-2456	50	4	.	.	PROPN
ejpam-2456	50	5	math	math	PROPN
ejpam-2456	50	6	,	,	PUNCT
ejpam-2456	50	7	9	9	NUM
ejpam-2456	50	8	(	(	PUNCT
ejpam-2456	50	9	2016	2016	NUM
ejpam-2456	50	10	)	)	PUNCT
ejpam-2456	50	11	,	,	PUNCT
ejpam-2456	50	12	383	383	NUM
ejpam-2456	50	13	-	-	SYM
ejpam-2456	50	14	401	401	NUM
ejpam-2456	50	15	385	385	NUM
ejpam-2456	50	16	let	let	VERB
ejpam-2456	50	17	l1(r+	l1(r+	PROPN
ejpam-2456	50	18	,	,	PUNCT
ejpam-2456	50	19	e	e	NOUN
ejpam-2456	50	20	)	)	PUNCT
ejpam-2456	50	21	be	be	AUX
ejpam-2456	50	22	the	the	DET
ejpam-2456	50	23	banach	banach	NOUN
ejpam-2456	50	24	space	space	NOUN
ejpam-2456	50	25	of	of	ADP
ejpam-2456	50	26	measurable	measurable	ADJ
ejpam-2456	50	27	functions	function	NOUN
ejpam-2456	51	1	y	y	NOUN
ejpam-2456	51	2	:	:	PUNCT
ejpam-2456	51	3	r+→	r+→	PROPN
ejpam-2456	51	4	e	e	X
ejpam-2456	51	5	which	which	PRON
ejpam-2456	51	6	are	be	AUX
ejpam-2456	51	7	bochner	bochner	ADV
ejpam-2456	51	8	integrable	integrable	ADJ
ejpam-2456	51	9	normed	norme	VERB
ejpam-2456	51	10	by	by	ADP
ejpam-2456	51	11	‖y‖l1	‖y‖l1	NUM
ejpam-2456	51	12	=	=	SYM
ejpam-2456	51	13	∫	∫	PROPN
ejpam-2456	52	1	+	+	NUM
ejpam-2456	52	2	∞	∞	NOUN
ejpam-2456	52	3	0	0	PUNCT
ejpam-2456	53	1	|y(t)|	|y(t)|	NOUN
ejpam-2456	53	2	d	d	NOUN
ejpam-2456	53	3	t.	t.	NOUN
ejpam-2456	53	4	in	in	ADP
ejpam-2456	53	5	this	this	DET
ejpam-2456	53	6	paper	paper	NOUN
ejpam-2456	53	7	,	,	PUNCT
ejpam-2456	53	8	we	we	PRON
ejpam-2456	53	9	will	will	AUX
ejpam-2456	53	10	employ	employ	VERB
ejpam-2456	53	11	an	an	DET
ejpam-2456	53	12	axiomatic	axiomatic	ADJ
ejpam-2456	53	13	definition	definition	NOUN
ejpam-2456	53	14	of	of	ADP
ejpam-2456	53	15	the	the	DET
ejpam-2456	53	16	phase	phase	NOUN
ejpam-2456	53	17	spaceb	spaceb	NOUN
ejpam-2456	53	18	introduced	introduce	VERB
ejpam-2456	53	19	by	by	ADP
ejpam-2456	53	20	hale	hale	PROPN
ejpam-2456	53	21	and	and	CCONJ
ejpam-2456	53	22	kato	kato	PROPN
ejpam-2456	53	23	in	in	ADP
ejpam-2456	53	24	[	[	X
ejpam-2456	53	25	20	20	NUM
ejpam-2456	53	26	]	]	PUNCT
ejpam-2456	53	27	and	and	CCONJ
ejpam-2456	53	28	follow	follow	VERB
ejpam-2456	53	29	the	the	DET
ejpam-2456	53	30	terminology	terminology	NOUN
ejpam-2456	53	31	used	use	VERB
ejpam-2456	53	32	by	by	ADP
ejpam-2456	53	33	hino	hino	PROPN
ejpam-2456	53	34	et	et	PROPN
ejpam-2456	53	35	al	al	PROPN
ejpam-2456	53	36	.	.	PUNCT
ejpam-2456	54	1	in	in	ADP
ejpam-2456	54	2	[	[	X
ejpam-2456	54	3	23	23	NUM
ejpam-2456	54	4	]	]	PUNCT
ejpam-2456	54	5	(	(	PUNCT
ejpam-2456	54	6	more	more	ADJ
ejpam-2456	54	7	details	detail	NOUN
ejpam-2456	54	8	and	and	CCONJ
ejpam-2456	54	9	some	some	DET
ejpam-2456	54	10	examples	example	NOUN
ejpam-2456	54	11	of	of	ADP
ejpam-2456	54	12	phase	phase	NOUN
ejpam-2456	54	13	spaces	space	NOUN
ejpam-2456	54	14	could	could	AUX
ejpam-2456	54	15	be	be	AUX
ejpam-2456	54	16	found	find	VERB
ejpam-2456	54	17	in	in	ADP
ejpam-2456	54	18	[	[	X
ejpam-2456	54	19	23	23	NUM
ejpam-2456	54	20	]	]	NUM
ejpam-2456	54	21	)	)	PUNCT
ejpam-2456	54	22	.	.	PUNCT
ejpam-2456	55	1	thus	thus	ADV
ejpam-2456	55	2	,	,	PUNCT
ejpam-2456	55	3	(	(	PUNCT
ejpam-2456	55	4	b	b	NOUN
ejpam-2456	55	5	,	,	PUNCT
ejpam-2456	55	6	‖·‖b)will	‖·‖b)will	CCONJ
ejpam-2456	55	7	be	be	AUX
ejpam-2456	55	8	a	a	DET
ejpam-2456	55	9	seminormed	seminormed	ADJ
ejpam-2456	55	10	linear	linear	ADJ
ejpam-2456	55	11	space	space	NOUN
ejpam-2456	55	12	of	of	ADP
ejpam-2456	55	13	functions	function	NOUN
ejpam-2456	55	14	mapping	mapping	NOUN
ejpam-2456	55	15	(	(	PUNCT
ejpam-2456	55	16	−∞	−∞	NOUN
ejpam-2456	55	17	,	,	PUNCT
ejpam-2456	55	18	0	0	NUM
ejpam-2456	55	19	]	]	PUNCT
ejpam-2456	55	20	into	into	ADP
ejpam-2456	55	21	e	e	NOUN
ejpam-2456	55	22	,	,	PUNCT
ejpam-2456	55	23	and	and	CCONJ
ejpam-2456	55	24	satisfying	satisfy	VERB
ejpam-2456	55	25	the	the	DET
ejpam-2456	55	26	following	follow	VERB
ejpam-2456	55	27	axioms	axiom	NOUN
ejpam-2456	55	28	:	:	PUNCT
ejpam-2456	55	29	(	(	PUNCT
ejpam-2456	55	30	a1	a1	NOUN
ejpam-2456	55	31	)	)	PUNCT
ejpam-2456	55	32	if	if	SCONJ
ejpam-2456	55	33	y	y	PROPN
ejpam-2456	55	34	:	:	PUNCT
ejpam-2456	55	35	(	(	PUNCT
ejpam-2456	55	36	−∞	−∞	NOUN
ejpam-2456	55	37	,	,	PUNCT
ejpam-2456	55	38	b)→	b)→	PROPN
ejpam-2456	55	39	e	e	PROPN
ejpam-2456	55	40	,	,	PUNCT
ejpam-2456	55	41	b	b	PROPN
ejpam-2456	55	42	>	>	X
ejpam-2456	55	43	0	0	NUM
ejpam-2456	55	44	,	,	PUNCT
ejpam-2456	55	45	is	be	AUX
ejpam-2456	55	46	continuous	continuous	ADJ
ejpam-2456	55	47	on	on	ADP
ejpam-2456	55	48	[	[	X
ejpam-2456	55	49	0	0	NUM
ejpam-2456	55	50	,	,	PUNCT
ejpam-2456	55	51	b	b	NOUN
ejpam-2456	55	52	]	]	PUNCT
ejpam-2456	55	53	and	and	CCONJ
ejpam-2456	55	54	y0	y0	PROPN
ejpam-2456	55	55	∈b	∈b	NOUN
ejpam-2456	55	56	,	,	PUNCT
ejpam-2456	55	57	then	then	ADV
ejpam-2456	55	58	for	for	ADP
ejpam-2456	55	59	every	every	DET
ejpam-2456	55	60	t	t	NOUN
ejpam-2456	55	61	∈	∈	PROPN
ejpam-2456	56	1	[	[	X
ejpam-2456	56	2	0	0	NUM
ejpam-2456	56	3	,	,	PUNCT
ejpam-2456	56	4	b	b	NOUN
ejpam-2456	56	5	)	)	PUNCT
ejpam-2456	56	6	the	the	DET
ejpam-2456	56	7	following	follow	VERB
ejpam-2456	56	8	conditions	condition	NOUN
ejpam-2456	56	9	hold	hold	VERB
ejpam-2456	56	10	:	:	PUNCT
ejpam-2456	56	11	(	(	PUNCT
ejpam-2456	56	12	i	i	NOUN
ejpam-2456	56	13	)	)	PUNCT
ejpam-2456	56	14	yt	yt	PROPN
ejpam-2456	56	15	∈b	∈b	PROPN
ejpam-2456	56	16	;	;	PUNCT
ejpam-2456	56	17	(	(	PUNCT
ejpam-2456	56	18	ii	ii	NOUN
ejpam-2456	56	19	)	)	PUNCT
ejpam-2456	56	20	there	there	PRON
ejpam-2456	56	21	exists	exist	VERB
ejpam-2456	56	22	a	a	DET
ejpam-2456	56	23	positive	positive	ADJ
ejpam-2456	56	24	constant	constant	ADJ
ejpam-2456	56	25	h	h	NOUN
ejpam-2456	56	26	such	such	ADJ
ejpam-2456	56	27	that	that	PRON
ejpam-2456	56	28	|y(t)|	|y(t)|	VERB
ejpam-2456	56	29	≤	≤	ADJ
ejpam-2456	56	30	h‖yt‖b	h‖yt‖b	NOUN
ejpam-2456	56	31	;	;	PUNCT
ejpam-2456	56	32	(	(	PUNCT
ejpam-2456	56	33	iii	iii	X
ejpam-2456	56	34	)	)	PUNCT
ejpam-2456	56	35	there	there	PRON
ejpam-2456	56	36	exist	exist	VERB
ejpam-2456	56	37	two	two	NUM
ejpam-2456	56	38	functions	function	NOUN
ejpam-2456	56	39	k	k	X
ejpam-2456	56	40	(	(	PUNCT
ejpam-2456	56	41	·	·	PUNCT
ejpam-2456	56	42	)	)	PUNCT
ejpam-2456	56	43	,	,	PUNCT
ejpam-2456	56	44	m	m	PROPN
ejpam-2456	56	45	(	(	PUNCT
ejpam-2456	56	46	·	·	PUNCT
ejpam-2456	56	47	)	)	PUNCT
ejpam-2456	56	48	:	:	PUNCT
ejpam-2456	57	1	r+→	r+→	INTJ
ejpam-2456	57	2	r+	r+	NOUN
ejpam-2456	57	3	independent	independent	ADJ
ejpam-2456	57	4	of	of	ADP
ejpam-2456	57	5	y	y	PROPN
ejpam-2456	57	6	with	with	ADP
ejpam-2456	57	7	k	k	PROPN
ejpam-2456	57	8	continuous	continuous	ADJ
ejpam-2456	57	9	and	and	CCONJ
ejpam-2456	57	10	m	m	AUX
ejpam-2456	57	11	locally	locally	ADV
ejpam-2456	57	12	bounded	bound	VERB
ejpam-2456	57	13	such	such	ADJ
ejpam-2456	57	14	that	that	SCONJ
ejpam-2456	57	15	:	:	PUNCT
ejpam-2456	57	16	‖yt‖b	‖yt‖b	PROPN
ejpam-2456	57	17	≤	≤	NUM
ejpam-2456	57	18	k(t	k(t	PROPN
ejpam-2456	57	19	)	)	PUNCT
ejpam-2456	57	20	sup	sup	PROPN
ejpam-2456	57	21	s∈[0,t	s∈[0,t	PROPN
ejpam-2456	57	22	]	]	PUNCT
ejpam-2456	57	23	|y(s)|+m(t)‖y0‖b	|y(s)|+m(t)‖y0‖b	X
ejpam-2456	57	24	.	.	PUNCT
ejpam-2456	58	1	(	(	PUNCT
ejpam-2456	58	2	a2	a2	PROPN
ejpam-2456	58	3	)	)	PUNCT
ejpam-2456	58	4	for	for	ADP
ejpam-2456	58	5	the	the	DET
ejpam-2456	58	6	function	function	NOUN
ejpam-2456	58	7	y	y	PROPN
ejpam-2456	58	8	in	in	ADP
ejpam-2456	58	9	(	(	PUNCT
ejpam-2456	58	10	a1	a1	NOUN
ejpam-2456	58	11	)	)	PUNCT
ejpam-2456	58	12	,	,	PUNCT
ejpam-2456	58	13	yt	yt	PROPN
ejpam-2456	58	14	is	be	AUX
ejpam-2456	58	15	ab−valued	ab−value	VERB
ejpam-2456	58	16	continuous	continuous	ADJ
ejpam-2456	58	17	function	function	NOUN
ejpam-2456	58	18	on	on	ADP
ejpam-2456	58	19	[	[	X
ejpam-2456	58	20	0	0	NUM
ejpam-2456	58	21	,	,	PUNCT
ejpam-2456	58	22	b	b	NOUN
ejpam-2456	58	23	]	]	PUNCT
ejpam-2456	58	24	.	.	PUNCT
ejpam-2456	59	1	(	(	PUNCT
ejpam-2456	59	2	a3	a3	NOUN
ejpam-2456	59	3	)	)	PUNCT
ejpam-2456	59	4	the	the	DET
ejpam-2456	59	5	spaceb	spaceb	NOUN
ejpam-2456	59	6	is	be	AUX
ejpam-2456	59	7	complete	complete	ADJ
ejpam-2456	59	8	.	.	PUNCT
ejpam-2456	60	1	denote	denote	VERB
ejpam-2456	60	2	kb	kb	PROPN
ejpam-2456	60	3	=	=	PUNCT
ejpam-2456	60	4	supt∈[0,b	supt∈[0,b	X
ejpam-2456	60	5	]	]	X
ejpam-2456	60	6	k(t	k(t	X
ejpam-2456	60	7	)	)	PUNCT
ejpam-2456	60	8	and	and	CCONJ
ejpam-2456	60	9	mb	mb	NOUN
ejpam-2456	60	10	=	=	SYM
ejpam-2456	60	11	supt∈[0,b]m(t	supt∈[0,b]m(t	NOUN
ejpam-2456	60	12	)	)	PUNCT
ejpam-2456	60	13	.	.	PUNCT
ejpam-2456	61	1	definition	definition	NOUN
ejpam-2456	61	2	1	1	NUM
ejpam-2456	61	3	.	.	PUNCT
ejpam-2456	62	1	a	a	DET
ejpam-2456	62	2	function	function	NOUN
ejpam-2456	62	3	f	f	NOUN
ejpam-2456	62	4	:	:	PUNCT
ejpam-2456	62	5	j	j	X
ejpam-2456	62	6	×b	×b	NOUN
ejpam-2456	62	7	→	→	SYM
ejpam-2456	62	8	e	e	NOUN
ejpam-2456	62	9	is	be	AUX
ejpam-2456	62	10	said	say	VERB
ejpam-2456	62	11	to	to	PART
ejpam-2456	62	12	be	be	AUX
ejpam-2456	62	13	an	an	DET
ejpam-2456	62	14	l1	l1	NOUN
ejpam-2456	62	15	-	-	PUNCT
ejpam-2456	62	16	carathéodory	carathéodory	ADJ
ejpam-2456	62	17	function	function	NOUN
ejpam-2456	62	18	if	if	SCONJ
ejpam-2456	62	19	it	it	PRON
ejpam-2456	62	20	satisfies	satisfy	VERB
ejpam-2456	62	21	:	:	PUNCT
ejpam-2456	62	22	(	(	PUNCT
ejpam-2456	62	23	i	i	NOUN
ejpam-2456	62	24	)	)	PUNCT
ejpam-2456	62	25	for	for	ADP
ejpam-2456	62	26	each	each	DET
ejpam-2456	62	27	t	t	PROPN
ejpam-2456	62	28	∈	∈	PROPN
ejpam-2456	62	29	j	j	PROPN
ejpam-2456	62	30	the	the	DET
ejpam-2456	62	31	function	function	NOUN
ejpam-2456	62	32	f	f	PROPN
ejpam-2456	62	33	(	(	PUNCT
ejpam-2456	62	34	t	t	PROPN
ejpam-2456	62	35	,	,	PUNCT
ejpam-2456	62	36	·	·	PUNCT
ejpam-2456	62	37	)	)	PUNCT
ejpam-2456	62	38	:	:	PUNCT
ejpam-2456	62	39	b	b	X
ejpam-2456	62	40	→	→	SYM
ejpam-2456	62	41	e	e	X
ejpam-2456	62	42	is	be	AUX
ejpam-2456	62	43	continuous	continuous	ADJ
ejpam-2456	62	44	;	;	PUNCT
ejpam-2456	62	45	(	(	PUNCT
ejpam-2456	62	46	ii	ii	NOUN
ejpam-2456	62	47	)	)	PUNCT
ejpam-2456	62	48	for	for	ADP
ejpam-2456	62	49	each	each	DET
ejpam-2456	62	50	y	y	PROPN
ejpam-2456	62	51	∈b	∈b	PROPN
ejpam-2456	62	52	the	the	DET
ejpam-2456	62	53	function	function	NOUN
ejpam-2456	62	54	f	f	PROPN
ejpam-2456	62	55	(	(	PUNCT
ejpam-2456	62	56	·	·	PUNCT
ejpam-2456	62	57	,	,	PUNCT
ejpam-2456	62	58	y	y	PROPN
ejpam-2456	62	59	)	)	PUNCT
ejpam-2456	62	60	:	:	PUNCT
ejpam-2456	63	1	j	j	X
ejpam-2456	63	2	→	→	PUNCT
ejpam-2456	63	3	e	e	PROPN
ejpam-2456	63	4	is	be	AUX
ejpam-2456	63	5	measurable	measurable	ADJ
ejpam-2456	63	6	;	;	PUNCT
ejpam-2456	63	7	(	(	PUNCT
ejpam-2456	63	8	iii	iii	X
ejpam-2456	63	9	)	)	PUNCT
ejpam-2456	63	10	for	for	ADP
ejpam-2456	63	11	every	every	DET
ejpam-2456	63	12	positive	positive	ADJ
ejpam-2456	63	13	integer	integer	NOUN
ejpam-2456	63	14	k	k	PROPN
ejpam-2456	63	15	there	there	PRON
ejpam-2456	63	16	exists	exist	VERB
ejpam-2456	63	17	hk	hk	PROPN
ejpam-2456	63	18	∈	∈	PROPN
ejpam-2456	63	19	l1(j	l1(j	X
ejpam-2456	63	20	;	;	PUNCT
ejpam-2456	64	1	r+	r+	X
ejpam-2456	64	2	)	)	PUNCT
ejpam-2456	64	3	such	such	ADJ
ejpam-2456	64	4	that	that	SCONJ
ejpam-2456	64	5	|	|	ADV
ejpam-2456	64	6	f	f	X
ejpam-2456	64	7	(	(	PUNCT
ejpam-2456	64	8	t	t	PROPN
ejpam-2456	64	9	,	,	PUNCT
ejpam-2456	64	10	y)|	y)|	PROPN
ejpam-2456	64	11	≤	≤	PROPN
ejpam-2456	64	12	hk(t	hk(t	CCONJ
ejpam-2456	64	13	)	)	PUNCT
ejpam-2456	64	14	for	for	ADP
ejpam-2456	64	15	all	all	DET
ejpam-2456	64	16	‖y‖b	‖y‖b	NOUN
ejpam-2456	64	17	≤	≤	ADJ
ejpam-2456	64	18	k	k	NOUN
ejpam-2456	64	19	and	and	CCONJ
ejpam-2456	64	20	almost	almost	ADV
ejpam-2456	64	21	every	every	PRON
ejpam-2456	64	22	t	t	NOUN
ejpam-2456	64	23	∈	∈	PROPN
ejpam-2456	64	24	j	j	PROPN
ejpam-2456	64	25	in	in	ADP
ejpam-2456	64	26	what	what	PRON
ejpam-2456	64	27	follows	follow	VERB
ejpam-2456	64	28	,	,	PUNCT
ejpam-2456	64	29	for	for	ADP
ejpam-2456	64	30	the	the	DET
ejpam-2456	64	31	family	family	NOUN
ejpam-2456	64	32	{	{	PUNCT
ejpam-2456	64	33	a(t	a(t	PROPN
ejpam-2456	64	34	)	)	PUNCT
ejpam-2456	64	35	,	,	PUNCT
ejpam-2456	64	36	t	t	PROPN
ejpam-2456	64	37	≥	≥	NUM
ejpam-2456	64	38	0	0	NUM
ejpam-2456	64	39	}	}	PUNCT
ejpam-2456	64	40	of	of	ADP
ejpam-2456	64	41	closed	closed	ADJ
ejpam-2456	64	42	densely	densely	ADV
ejpam-2456	64	43	defined	define	VERB
ejpam-2456	64	44	linear	linear	ADJ
ejpam-2456	64	45	unbounded	unbounded	ADJ
ejpam-2456	64	46	operators	operator	NOUN
ejpam-2456	64	47	on	on	ADP
ejpam-2456	64	48	the	the	DET
ejpam-2456	64	49	banach	banach	NOUN
ejpam-2456	64	50	space	space	NOUN
ejpam-2456	64	51	e	e	NOUN
ejpam-2456	64	52	we	we	PRON
ejpam-2456	64	53	assume	assume	VERB
ejpam-2456	64	54	that	that	SCONJ
ejpam-2456	64	55	it	it	PRON
ejpam-2456	64	56	satisfies	satisfy	VERB
ejpam-2456	64	57	the	the	DET
ejpam-2456	64	58	following	follow	VERB
ejpam-2456	64	59	assumptions	assumption	NOUN
ejpam-2456	64	60	(	(	PUNCT
ejpam-2456	64	61	see	see	VERB
ejpam-2456	64	62	[	[	X
ejpam-2456	64	63	2	2	NUM
ejpam-2456	64	64	]	]	NUM
ejpam-2456	64	65	)	)	PUNCT
ejpam-2456	64	66	.	.	PUNCT
ejpam-2456	65	1	(	(	PUNCT
ejpam-2456	65	2	p1	p1	PROPN
ejpam-2456	65	3	)	)	PUNCT
ejpam-2456	65	4	the	the	DET
ejpam-2456	65	5	domain	domain	NOUN
ejpam-2456	65	6	d(a(t	d(a(t	PROPN
ejpam-2456	65	7	)	)	PUNCT
ejpam-2456	65	8	)	)	PUNCT
ejpam-2456	65	9	is	be	AUX
ejpam-2456	65	10	independent	independent	ADJ
ejpam-2456	65	11	of	of	ADP
ejpam-2456	65	12	t	t	PROPN
ejpam-2456	65	13	and	and	CCONJ
ejpam-2456	65	14	is	be	AUX
ejpam-2456	65	15	dense	dense	ADJ
ejpam-2456	65	16	in	in	ADP
ejpam-2456	65	17	e.	e.	PROPN
ejpam-2456	65	18	(	(	PUNCT
ejpam-2456	65	19	p2	p2	PROPN
ejpam-2456	65	20	)	)	PUNCT
ejpam-2456	65	21	for	for	ADP
ejpam-2456	65	22	t	t	PROPN
ejpam-2456	65	23	≥	≥	PROPN
ejpam-2456	65	24	0	0	NUM
ejpam-2456	65	25	,	,	PUNCT
ejpam-2456	65	26	the	the	DET
ejpam-2456	65	27	resolvent	resolvent	ADJ
ejpam-2456	65	28	r(λ	r(λ	NOUN
ejpam-2456	65	29	,	,	PUNCT
ejpam-2456	65	30	a(t	a(t	NOUN
ejpam-2456	65	31	)	)	PUNCT
ejpam-2456	65	32	)	)	PUNCT
ejpam-2456	66	1	=	=	SYM
ejpam-2456	66	2	(	(	PUNCT
ejpam-2456	66	3	λi−a(t))−1	λi−a(t))−1	NOUN
ejpam-2456	66	4	exists	exist	VERB
ejpam-2456	66	5	for	for	ADP
ejpam-2456	66	6	all	all	DET
ejpam-2456	66	7	λ	λ	NOUN
ejpam-2456	66	8	with	with	ADP
ejpam-2456	66	9	reλ≤	reλ≤	PROPN
ejpam-2456	66	10	0	0	PUNCT
ejpam-2456	67	1	and	and	CCONJ
ejpam-2456	67	2	there	there	PRON
ejpam-2456	67	3	is	be	VERB
ejpam-2456	67	4	a	a	DET
ejpam-2456	67	5	constant	constant	ADJ
ejpam-2456	67	6	m	m	NOUN
ejpam-2456	67	7	independent	independent	ADJ
ejpam-2456	67	8	of	of	ADP
ejpam-2456	67	9	λ	λ	PROPN
ejpam-2456	67	10	and	and	CCONJ
ejpam-2456	67	11	t	t	PROPN
ejpam-2456	67	12	such	such	ADJ
ejpam-2456	67	13	that	that	SCONJ
ejpam-2456	67	14	‖r(t	‖r(t	NOUN
ejpam-2456	67	15	,	,	PUNCT
ejpam-2456	68	1	a(t))‖	a(t))‖	PROPN
ejpam-2456	68	2	≤	≤	PRON
ejpam-2456	68	3	m(1	m(1	PROPN
ejpam-2456	68	4	+	+	SYM
ejpam-2456	68	5	|λ|)−1	|λ|)−1	PROPN
ejpam-2456	68	6	,	,	PUNCT
ejpam-2456	68	7	for	for	ADP
ejpam-2456	68	8	reλ≤	reλ≤	PROPN
ejpam-2456	68	9	0	0	NUM
ejpam-2456	68	10	.	.	PUNCT
ejpam-2456	68	11	(	(	PUNCT
ejpam-2456	68	12	p3	p3	PROPN
ejpam-2456	68	13	)	)	PUNCT
ejpam-2456	68	14	there	there	PRON
ejpam-2456	68	15	exist	exist	VERB
ejpam-2456	68	16	constants	constant	NOUN
ejpam-2456	68	17	l	l	NOUN
ejpam-2456	68	18	>	>	X
ejpam-2456	68	19	0	0	PUNCT
ejpam-2456	69	1	and	and	CCONJ
ejpam-2456	69	2	0	0	NUM
ejpam-2456	69	3	<	<	X
ejpam-2456	69	4	α≤	α≤	NUM
ejpam-2456	69	5	1	1	NUM
ejpam-2456	69	6	such	such	ADJ
ejpam-2456	69	7	that	that	PRON
ejpam-2456	69	8	‖(a(t)−	‖(a(t)−	PROPN
ejpam-2456	69	9	a(θ	a(θ	PROPN
ejpam-2456	69	10	)	)	PUNCT
ejpam-2456	69	11	)	)	PUNCT
ejpam-2456	69	12	a−1(τ)‖	a−1(τ)‖	PROPN
ejpam-2456	69	13	≤	≤	NUM
ejpam-2456	69	14	l|t	l|t	NOUN
ejpam-2456	69	15	−τ|α	−τ|α	PROPN
ejpam-2456	69	16	,	,	PUNCT
ejpam-2456	69	17	for	for	ADP
ejpam-2456	69	18	t	t	PROPN
ejpam-2456	69	19	,	,	PUNCT
ejpam-2456	69	20	θ	θ	PROPN
ejpam-2456	69	21	,	,	PUNCT
ejpam-2456	69	22	τ	τ	PROPN
ejpam-2456	69	23	∈	∈	PROPN
ejpam-2456	69	24	j	j	PROPN
ejpam-2456	69	25	.	.	PUNCT
ejpam-2456	70	1	d.	d.	PROPN
ejpam-2456	70	2	aoued	aoued	PROPN
ejpam-2456	70	3	,	,	PUNCT
ejpam-2456	70	4	s.	s.	PROPN
ejpam-2456	70	5	baghli	baghli	PROPN
ejpam-2456	70	6	-	-	PUNCT
ejpam-2456	70	7	bendimerad	bendimerad	PROPN
ejpam-2456	70	8	/	/	SYM
ejpam-2456	70	9	eur	eur	PROPN
ejpam-2456	70	10	.	.	PUNCT
ejpam-2456	71	1	j.	j.	PROPN
ejpam-2456	71	2	pure	pure	PROPN
ejpam-2456	71	3	appl	appl	PROPN
ejpam-2456	71	4	.	.	PROPN
ejpam-2456	71	5	math	math	PROPN
ejpam-2456	71	6	,	,	PUNCT
ejpam-2456	71	7	9	9	NUM
ejpam-2456	71	8	(	(	PUNCT
ejpam-2456	71	9	2016	2016	NUM
ejpam-2456	71	10	)	)	PUNCT
ejpam-2456	71	11	,	,	PUNCT
ejpam-2456	71	12	383	383	NUM
ejpam-2456	71	13	-	-	SYM
ejpam-2456	71	14	401	401	NUM
ejpam-2456	71	15	386	386	NUM
ejpam-2456	71	16	lemma	lemma	PROPN
ejpam-2456	71	17	1	1	NUM
ejpam-2456	71	18	(	(	PUNCT
ejpam-2456	71	19	[	[	X
ejpam-2456	71	20	2	2	NUM
ejpam-2456	71	21	]	]	PUNCT
ejpam-2456	71	22	)	)	PUNCT
ejpam-2456	71	23	.	.	PUNCT
ejpam-2456	72	1	under	under	ADP
ejpam-2456	72	2	assumptions	assumption	NOUN
ejpam-2456	72	3	(	(	PUNCT
ejpam-2456	72	4	p1)-(p3	p1)-(p3	NUM
ejpam-2456	72	5	)	)	PUNCT
ejpam-2456	72	6	,	,	PUNCT
ejpam-2456	72	7	the	the	DET
ejpam-2456	72	8	cauchy	cauchy	PROPN
ejpam-2456	72	9	problem	problem	NOUN
ejpam-2456	72	10	y	y	PROPN
ejpam-2456	72	11	′(t)−	′(t)−	PROPN
ejpam-2456	72	12	a(t)y(t	a(t)y(t	PROPN
ejpam-2456	72	13	)	)	PUNCT
ejpam-2456	73	1	=	=	SYM
ejpam-2456	73	2	0	0	NUM
ejpam-2456	73	3	,	,	PUNCT
ejpam-2456	73	4	t	t	PROPN
ejpam-2456	73	5	∈	∈	PROPN
ejpam-2456	73	6	j	j	PROPN
ejpam-2456	73	7	and	and	CCONJ
ejpam-2456	73	8	y(0	y(0	PROPN
ejpam-2456	73	9	)	)	PUNCT
ejpam-2456	73	10	=	=	SYM
ejpam-2456	73	11	y0	y0	NOUN
ejpam-2456	73	12	,	,	PUNCT
ejpam-2456	73	13	has	have	VERB
ejpam-2456	73	14	a	a	DET
ejpam-2456	73	15	unique	unique	ADJ
ejpam-2456	73	16	evolution	evolution	NOUN
ejpam-2456	73	17	system	system	NOUN
ejpam-2456	73	18	u(t	u(t	NOUN
ejpam-2456	73	19	,	,	PUNCT
ejpam-2456	73	20	s	s	NOUN
ejpam-2456	73	21	)	)	PUNCT
ejpam-2456	73	22	,	,	PUNCT
ejpam-2456	73	23	(	(	PUNCT
ejpam-2456	73	24	t	t	PROPN
ejpam-2456	73	25	,	,	PUNCT
ejpam-2456	73	26	s	s	PART
ejpam-2456	73	27	)	)	PUNCT
ejpam-2456	73	28	∈∆	∈∆	ADJ
ejpam-2456	73	29	:	:	PUNCT
ejpam-2456	74	1	=	=	SYM
ejpam-2456	74	2	{	{	PUNCT
ejpam-2456	74	3	(	(	PUNCT
ejpam-2456	74	4	t	t	PROPN
ejpam-2456	74	5	,	,	PUNCT
ejpam-2456	74	6	s	s	PART
ejpam-2456	74	7	)	)	PUNCT
ejpam-2456	74	8	∈	∈	PROPN
ejpam-2456	74	9	j	j	PROPN
ejpam-2456	74	10	×	×	PROPN
ejpam-2456	74	11	j	j	PROPN
ejpam-2456	74	12	:	:	PUNCT
ejpam-2456	74	13	0≤	0≤	NUM
ejpam-2456	74	14	s	s	AUX
ejpam-2456	74	15	≤	≤	NUM
ejpam-2456	74	16	t	t	NOUN
ejpam-2456	74	17	<	<	X
ejpam-2456	74	18	+	+	NOUN
ejpam-2456	74	19	∞	∞	NOUN
ejpam-2456	74	20	}	}	PUNCT
ejpam-2456	74	21	satisfying	satisfy	VERB
ejpam-2456	74	22	the	the	DET
ejpam-2456	74	23	following	follow	VERB
ejpam-2456	74	24	properties	property	NOUN
ejpam-2456	74	25	:	:	PUNCT
ejpam-2456	74	26	(	(	PUNCT
ejpam-2456	74	27	i	i	NOUN
ejpam-2456	74	28	)	)	PUNCT
ejpam-2456	74	29	u(t	u(t	PROPN
ejpam-2456	74	30	,	,	PUNCT
ejpam-2456	74	31	t	t	PROPN
ejpam-2456	74	32	)	)	PUNCT
ejpam-2456	74	33	=	=	PUNCT
ejpam-2456	75	1	i	i	PRON
ejpam-2456	75	2	where	where	SCONJ
ejpam-2456	75	3	i	i	PRON
ejpam-2456	75	4	is	be	AUX
ejpam-2456	75	5	the	the	DET
ejpam-2456	75	6	identity	identity	NOUN
ejpam-2456	75	7	operator	operator	NOUN
ejpam-2456	75	8	in	in	ADP
ejpam-2456	75	9	e	e	PROPN
ejpam-2456	75	10	,	,	PUNCT
ejpam-2456	75	11	(	(	PUNCT
ejpam-2456	75	12	ii	ii	NOUN
ejpam-2456	75	13	)	)	PUNCT
ejpam-2456	75	14	u(t	u(t	NOUN
ejpam-2456	75	15	,	,	PUNCT
ejpam-2456	75	16	s)u(s	s)u(s	NUM
ejpam-2456	75	17	,	,	PUNCT
ejpam-2456	75	18	τ	τ	X
ejpam-2456	75	19	)	)	PUNCT
ejpam-2456	75	20	=	=	SYM
ejpam-2456	75	21	u(t	u(t	NOUN
ejpam-2456	75	22	,	,	PUNCT
ejpam-2456	75	23	τ	τ	PROPN
ejpam-2456	75	24	)	)	PUNCT
ejpam-2456	75	25	for	for	ADP
ejpam-2456	75	26	0≤	0≤	NUM
ejpam-2456	75	27	τ≤	τ≤	NUM
ejpam-2456	75	28	s	s	PART
ejpam-2456	75	29	≤	≤	NOUN
ejpam-2456	75	30	t	t	NOUN
ejpam-2456	75	31	<	<	X
ejpam-2456	75	32	+	+	PROPN
ejpam-2456	75	33	∞	∞	PROPN
ejpam-2456	75	34	,	,	PUNCT
ejpam-2456	75	35	(	(	PUNCT
ejpam-2456	75	36	iii	iii	NOUN
ejpam-2456	75	37	)	)	PUNCT
ejpam-2456	75	38	u(t	u(t	NOUN
ejpam-2456	75	39	,	,	PUNCT
ejpam-2456	75	40	s	s	X
ejpam-2456	75	41	)	)	PUNCT
ejpam-2456	75	42	∈	∈	PROPN
ejpam-2456	75	43	b(e	b(e	PROPN
ejpam-2456	75	44	)	)	PUNCT
ejpam-2456	75	45	the	the	DET
ejpam-2456	75	46	space	space	NOUN
ejpam-2456	75	47	of	of	ADP
ejpam-2456	75	48	bounded	bounded	ADJ
ejpam-2456	75	49	linear	linear	PROPN
ejpam-2456	75	50	operators	operator	NOUN
ejpam-2456	75	51	on	on	ADP
ejpam-2456	75	52	e	e	X
ejpam-2456	75	53	where	where	SCONJ
ejpam-2456	75	54	for	for	ADP
ejpam-2456	75	55	every	every	DET
ejpam-2456	75	56	(	(	PUNCT
ejpam-2456	75	57	t	t	PROPN
ejpam-2456	75	58	,	,	PUNCT
ejpam-2456	75	59	s	s	X
ejpam-2456	75	60	)	)	PUNCT
ejpam-2456	75	61	∈	∈	NOUN
ejpam-2456	75	62	∆	∆	PROPN
ejpam-2456	75	63	and	and	CCONJ
ejpam-2456	75	64	for	for	ADP
ejpam-2456	75	65	each	each	DET
ejpam-2456	75	66	y	y	PROPN
ejpam-2456	75	67	∈	∈	PROPN
ejpam-2456	75	68	e	e	PROPN
ejpam-2456	75	69	,	,	PUNCT
ejpam-2456	75	70	the	the	DET
ejpam-2456	75	71	mapping	mapping	NOUN
ejpam-2456	75	72	(	(	PUNCT
ejpam-2456	75	73	t	t	PROPN
ejpam-2456	75	74	,	,	PUNCT
ejpam-2456	75	75	s)→	s)→	NOUN
ejpam-2456	75	76	u(t	u(t	NOUN
ejpam-2456	75	77	,	,	PUNCT
ejpam-2456	75	78	s	s	X
ejpam-2456	75	79	)	)	PUNCT
ejpam-2456	75	80	y	y	PROPN
ejpam-2456	75	81	is	be	AUX
ejpam-2456	75	82	continuous	continuous	ADJ
ejpam-2456	75	83	.	.	PUNCT
ejpam-2456	76	1	for	for	ADP
ejpam-2456	76	2	more	more	ADJ
ejpam-2456	76	3	details	detail	NOUN
ejpam-2456	76	4	on	on	ADP
ejpam-2456	76	5	evolution	evolution	NOUN
ejpam-2456	76	6	systems	system	NOUN
ejpam-2456	76	7	and	and	CCONJ
ejpam-2456	76	8	their	their	PRON
ejpam-2456	76	9	properties	property	NOUN
ejpam-2456	76	10	,	,	PUNCT
ejpam-2456	76	11	see	see	VERB
ejpam-2456	76	12	[	[	X
ejpam-2456	76	13	2	2	NUM
ejpam-2456	76	14	,	,	PUNCT
ejpam-2456	76	15	15	15	NUM
ejpam-2456	76	16	,	,	PUNCT
ejpam-2456	76	17	16	16	NUM
ejpam-2456	76	18	,	,	PUNCT
ejpam-2456	76	19	29	29	NUM
ejpam-2456	76	20	]	]	PUNCT
ejpam-2456	76	21	.	.	PUNCT
ejpam-2456	77	1	let	let	VERB
ejpam-2456	77	2	x	x	PRON
ejpam-2456	77	3	be	be	AUX
ejpam-2456	77	4	a	a	DET
ejpam-2456	77	5	fréchet	fréchet	NOUN
ejpam-2456	77	6	space	space	NOUN
ejpam-2456	77	7	with	with	ADP
ejpam-2456	77	8	a	a	DET
ejpam-2456	77	9	family	family	NOUN
ejpam-2456	77	10	of	of	ADP
ejpam-2456	77	11	semi	semi	NOUN
ejpam-2456	77	12	-	-	NOUN
ejpam-2456	77	13	norms	norm	NOUN
ejpam-2456	77	14	{	{	PUNCT
ejpam-2456	77	15	‖	‖	PROPN
ejpam-2456	77	16	·	·	PUNCT
ejpam-2456	78	1	‖n}n∈n	‖n}n∈n	X
ejpam-2456	78	2	.	.	PUNCT
ejpam-2456	79	1	we	we	PRON
ejpam-2456	79	2	assume	assume	VERB
ejpam-2456	79	3	that	that	SCONJ
ejpam-2456	79	4	the	the	DET
ejpam-2456	79	5	family	family	NOUN
ejpam-2456	79	6	of	of	ADP
ejpam-2456	79	7	semi	semi	NOUN
ejpam-2456	79	8	-	-	NOUN
ejpam-2456	79	9	norms	norm	NOUN
ejpam-2456	79	10	{	{	PUNCT
ejpam-2456	79	11	‖	‖	PROPN
ejpam-2456	79	12	·	·	PUNCT
ejpam-2456	79	13	‖n	‖n	NOUN
ejpam-2456	79	14	}	}	PUNCT
ejpam-2456	79	15	verifies	verifie	NOUN
ejpam-2456	79	16	:	:	PUNCT
ejpam-2456	79	17	‖x‖1	‖x‖1	PROPN
ejpam-2456	79	18	≤	≤	NUM
ejpam-2456	79	19	‖x‖2	‖x‖2	VERB
ejpam-2456	79	20	≤	≤	NOUN
ejpam-2456	79	21	‖x‖3	‖x‖3	ADP
ejpam-2456	79	22	≤	≤	NUM
ejpam-2456	79	23	.	.	PUNCT
ejpam-2456	79	24	.	.	PUNCT
ejpam-2456	79	25	.	.	PUNCT
ejpam-2456	80	1	for	for	ADP
ejpam-2456	80	2	every	every	DET
ejpam-2456	80	3	x	x	SYM
ejpam-2456	80	4	∈	∈	PROPN
ejpam-2456	80	5	x	x	X
ejpam-2456	80	6	.	.	PUNCT
ejpam-2456	81	1	let	let	VERB
ejpam-2456	81	2	y	y	PROPN
ejpam-2456	81	3	⊂	⊂	PROPN
ejpam-2456	81	4	x	x	X
ejpam-2456	81	5	,	,	PUNCT
ejpam-2456	81	6	we	we	PRON
ejpam-2456	81	7	say	say	VERB
ejpam-2456	81	8	that	that	SCONJ
ejpam-2456	81	9	y	y	PROPN
ejpam-2456	81	10	is	be	AUX
ejpam-2456	81	11	bounded	bound	VERB
ejpam-2456	81	12	if	if	SCONJ
ejpam-2456	81	13	for	for	ADP
ejpam-2456	81	14	every	every	DET
ejpam-2456	81	15	n	n	PRON
ejpam-2456	81	16	∈	∈	PROPN
ejpam-2456	81	17	n	n	CCONJ
ejpam-2456	81	18	,	,	PUNCT
ejpam-2456	81	19	there	there	PRON
ejpam-2456	81	20	exists	exist	VERB
ejpam-2456	81	21	m	m	VERB
ejpam-2456	81	22	n	n	ADV
ejpam-2456	81	23	>	>	X
ejpam-2456	81	24	0	0	NUM
ejpam-2456	82	1	such	such	ADJ
ejpam-2456	82	2	that	that	DET
ejpam-2456	82	3	‖y‖n	‖y‖n	PROPN
ejpam-2456	82	4	≤	≤	X
ejpam-2456	82	5	m	m	VERB
ejpam-2456	82	6	n	n	ADJ
ejpam-2456	82	7	for	for	ADP
ejpam-2456	82	8	all	all	DET
ejpam-2456	82	9	y	y	PROPN
ejpam-2456	82	10	∈	∈	PROPN
ejpam-2456	82	11	y	y	PROPN
ejpam-2456	82	12	.	.	PUNCT
ejpam-2456	83	1	to	to	PART
ejpam-2456	83	2	x	x	SYM
ejpam-2456	83	3	we	we	PRON
ejpam-2456	83	4	associate	associate	VERB
ejpam-2456	83	5	a	a	DET
ejpam-2456	83	6	sequence	sequence	NOUN
ejpam-2456	83	7	of	of	ADP
ejpam-2456	83	8	banach	banach	NOUN
ejpam-2456	83	9	spaces	space	NOUN
ejpam-2456	83	10	{	{	PUNCT
ejpam-2456	83	11	(	(	PUNCT
ejpam-2456	83	12	x	x	NOUN
ejpam-2456	83	13	n,‖	n,‖	NOUN
ejpam-2456	83	14	·	·	PUNCT
ejpam-2456	83	15	‖n	‖n	NOUN
ejpam-2456	83	16	)	)	PUNCT
ejpam-2456	83	17	}	}	PUNCT
ejpam-2456	83	18	as	as	SCONJ
ejpam-2456	83	19	follows	follow	VERB
ejpam-2456	83	20	:	:	PUNCT
ejpam-2456	83	21	for	for	ADP
ejpam-2456	83	22	every	every	DET
ejpam-2456	83	23	n	n	PRON
ejpam-2456	83	24	∈	∈	PROPN
ejpam-2456	83	25	n	n	CCONJ
ejpam-2456	83	26	,	,	PUNCT
ejpam-2456	83	27	we	we	PRON
ejpam-2456	83	28	consider	consider	VERB
ejpam-2456	83	29	the	the	DET
ejpam-2456	83	30	equivalence	equivalence	NOUN
ejpam-2456	83	31	relation	relation	NOUN
ejpam-2456	83	32	∼n	∼n	NOUN
ejpam-2456	83	33	defined	define	VERB
ejpam-2456	83	34	by	by	ADP
ejpam-2456	83	35	:	:	PUNCT
ejpam-2456	83	36	x	x	PART
ejpam-2456	83	37	∼n	∼n	NOUN
ejpam-2456	83	38	y	y	NOUN
ejpam-2456	83	39	if	if	SCONJ
ejpam-2456	83	40	and	and	CCONJ
ejpam-2456	83	41	only	only	ADV
ejpam-2456	83	42	if	if	SCONJ
ejpam-2456	83	43	‖x	‖x	PRON
ejpam-2456	83	44	−	−	NOUN
ejpam-2456	84	1	y‖n	y‖n	X
ejpam-2456	84	2	=	=	NOUN
ejpam-2456	84	3	0	0	NUM
ejpam-2456	84	4	for	for	ADP
ejpam-2456	84	5	x	x	X
ejpam-2456	84	6	,	,	PUNCT
ejpam-2456	84	7	y	y	PROPN
ejpam-2456	84	8	∈	∈	PROPN
ejpam-2456	85	1	x	x	X
ejpam-2456	85	2	.	.	PUNCT
ejpam-2456	86	1	we	we	PRON
ejpam-2456	86	2	denote	denote	VERB
ejpam-2456	86	3	x	x	PUNCT
ejpam-2456	86	4	n	n	NOUN
ejpam-2456	86	5	=	=	SYM
ejpam-2456	86	6	(	(	PUNCT
ejpam-2456	86	7	x	x	PROPN
ejpam-2456	86	8	|∼n	|∼n	PROPN
ejpam-2456	86	9	,	,	PUNCT
ejpam-2456	86	10	‖	‖	PROPN
ejpam-2456	86	11	·	·	PUNCT
ejpam-2456	86	12	‖n	‖n	NUM
ejpam-2456	86	13	)	)	PUNCT
ejpam-2456	86	14	the	the	DET
ejpam-2456	86	15	quotient	quotient	NOUN
ejpam-2456	86	16	space	space	NOUN
ejpam-2456	86	17	,	,	PUNCT
ejpam-2456	86	18	the	the	DET
ejpam-2456	86	19	completion	completion	NOUN
ejpam-2456	86	20	of	of	ADP
ejpam-2456	86	21	x	x	PUNCT
ejpam-2456	86	22	n	n	X
ejpam-2456	86	23	with	with	ADP
ejpam-2456	86	24	respect	respect	NOUN
ejpam-2456	86	25	to	to	ADP
ejpam-2456	86	26	‖	‖	PROPN
ejpam-2456	86	27	·	·	PUNCT
ejpam-2456	86	28	‖n	‖n	NOUN
ejpam-2456	86	29	.	.	PUNCT
ejpam-2456	87	1	to	to	ADP
ejpam-2456	87	2	every	every	DET
ejpam-2456	87	3	y	y	PROPN
ejpam-2456	87	4	⊂	⊂	PROPN
ejpam-2456	87	5	x	x	X
ejpam-2456	87	6	,	,	PUNCT
ejpam-2456	87	7	we	we	PRON
ejpam-2456	87	8	associate	associate	VERB
ejpam-2456	87	9	a	a	DET
ejpam-2456	87	10	sequence	sequence	NOUN
ejpam-2456	87	11	{	{	PUNCT
ejpam-2456	87	12	y	y	NOUN
ejpam-2456	87	13	n	n	CCONJ
ejpam-2456	87	14	}	}	PUNCT
ejpam-2456	87	15	of	of	ADP
ejpam-2456	87	16	subsets	subset	NOUN
ejpam-2456	87	17	y	y	PROPN
ejpam-2456	87	18	n	n	PROPN
ejpam-2456	87	19	⊂	⊂	NOUN
ejpam-2456	87	20	x	x	PUNCT
ejpam-2456	87	21	n	n	CCONJ
ejpam-2456	87	22	as	as	SCONJ
ejpam-2456	87	23	follows	follow	VERB
ejpam-2456	87	24	:	:	PUNCT
ejpam-2456	87	25	for	for	ADP
ejpam-2456	87	26	every	every	DET
ejpam-2456	87	27	x	x	SYM
ejpam-2456	87	28	∈	∈	PROPN
ejpam-2456	87	29	x	x	X
ejpam-2456	87	30	,	,	PUNCT
ejpam-2456	87	31	we	we	PRON
ejpam-2456	87	32	denote	denote	VERB
ejpam-2456	87	33	[	[	X
ejpam-2456	87	34	x]n	x]n	NOUN
ejpam-2456	87	35	the	the	DET
ejpam-2456	87	36	equivalence	equivalence	NOUN
ejpam-2456	87	37	class	class	NOUN
ejpam-2456	87	38	of	of	ADP
ejpam-2456	87	39	x	x	PUNCT
ejpam-2456	87	40	of	of	ADP
ejpam-2456	87	41	subset	subset	NOUN
ejpam-2456	87	42	x	x	PUNCT
ejpam-2456	87	43	n	n	CCONJ
ejpam-2456	88	1	and	and	CCONJ
ejpam-2456	88	2	we	we	PRON
ejpam-2456	88	3	defined	define	VERB
ejpam-2456	88	4	y	y	PROPN
ejpam-2456	88	5	n	n	NOUN
ejpam-2456	88	6	=	=	PRON
ejpam-2456	88	7	{	{	PUNCT
ejpam-2456	89	1	[	[	X
ejpam-2456	89	2	x]n	x]n	NOUN
ejpam-2456	89	3	:	:	PUNCT
ejpam-2456	89	4	x	x	PUNCT
ejpam-2456	89	5	∈	∈	NOUN
ejpam-2456	89	6	y	y	PROPN
ejpam-2456	89	7	}	}	PUNCT
ejpam-2456	89	8	.	.	PUNCT
ejpam-2456	90	1	we	we	PRON
ejpam-2456	90	2	denote	denote	VERB
ejpam-2456	90	3	y	y	PROPN
ejpam-2456	90	4	n	n	PROPN
ejpam-2456	90	5	,	,	PUNCT
ejpam-2456	90	6	intn(y	intn(y	PRON
ejpam-2456	90	7	n	n	CCONJ
ejpam-2456	90	8	)	)	PUNCT
ejpam-2456	90	9	and	and	CCONJ
ejpam-2456	90	10	∂ny	∂ny	NOUN
ejpam-2456	90	11	n	n	CCONJ
ejpam-2456	90	12	,	,	PUNCT
ejpam-2456	90	13	respectively	respectively	ADV
ejpam-2456	90	14	,	,	PUNCT
ejpam-2456	90	15	the	the	DET
ejpam-2456	90	16	closure	closure	NOUN
ejpam-2456	90	17	,	,	PUNCT
ejpam-2456	90	18	the	the	DET
ejpam-2456	90	19	interior	interior	NOUN
ejpam-2456	90	20	and	and	CCONJ
ejpam-2456	90	21	the	the	DET
ejpam-2456	90	22	boundary	boundary	NOUN
ejpam-2456	90	23	of	of	ADP
ejpam-2456	90	24	y	y	PROPN
ejpam-2456	90	25	n	n	PROPN
ejpam-2456	90	26	with	with	ADP
ejpam-2456	90	27	respect	respect	NOUN
ejpam-2456	90	28	to	to	ADP
ejpam-2456	90	29	‖	‖	PROPN
ejpam-2456	90	30	·	·	PUNCT
ejpam-2456	90	31	‖n	‖n	NOUN
ejpam-2456	90	32	in	in	ADP
ejpam-2456	90	33	x	x	PROPN
ejpam-2456	90	34	n.	n.	NOUN
ejpam-2456	90	35	we	we	PRON
ejpam-2456	90	36	give	give	VERB
ejpam-2456	90	37	now	now	ADV
ejpam-2456	90	38	the	the	DET
ejpam-2456	90	39	definition	definition	NOUN
ejpam-2456	90	40	of	of	ADP
ejpam-2456	90	41	the	the	DET
ejpam-2456	90	42	appropriate	appropriate	ADJ
ejpam-2456	90	43	concept	concept	NOUN
ejpam-2456	90	44	of	of	ADP
ejpam-2456	90	45	contraction	contraction	NOUN
ejpam-2456	90	46	in	in	ADP
ejpam-2456	90	47	x	x	SYM
ejpam-2456	90	48	then	then	ADV
ejpam-2456	90	49	we	we	PRON
ejpam-2456	90	50	state	state	VERB
ejpam-2456	90	51	the	the	DET
ejpam-2456	90	52	corresponding	corresponding	ADJ
ejpam-2456	90	53	nonlinear	nonlinear	ADJ
ejpam-2456	90	54	alternative	alternative	ADJ
ejpam-2456	90	55	result	result	NOUN
ejpam-2456	90	56	.	.	PUNCT
ejpam-2456	91	1	definition	definition	NOUN
ejpam-2456	91	2	2	2	NUM
ejpam-2456	91	3	.	.	PUNCT
ejpam-2456	92	1	[	[	X
ejpam-2456	92	2	17	17	NUM
ejpam-2456	92	3	]	]	PUNCT
ejpam-2456	92	4	a	a	DET
ejpam-2456	92	5	function	function	NOUN
ejpam-2456	92	6	f	f	NOUN
ejpam-2456	92	7	:	:	PUNCT
ejpam-2456	92	8	x	x	X
ejpam-2456	92	9	→	→	PUNCT
ejpam-2456	92	10	x	x	X
ejpam-2456	92	11	is	be	AUX
ejpam-2456	92	12	said	say	VERB
ejpam-2456	92	13	to	to	PART
ejpam-2456	92	14	be	be	AUX
ejpam-2456	92	15	a	a	DET
ejpam-2456	92	16	contraction	contraction	NOUN
ejpam-2456	92	17	if	if	SCONJ
ejpam-2456	92	18	for	for	ADP
ejpam-2456	92	19	each	each	DET
ejpam-2456	92	20	n	n	PRON
ejpam-2456	92	21	∈	∈	PROPN
ejpam-2456	92	22	n	n	CCONJ
ejpam-2456	92	23	there	there	ADV
ejpam-2456	92	24	exists	exist	VERB
ejpam-2456	92	25	kn	kn	PROPN
ejpam-2456	92	26	∈	∈	PROPN
ejpam-2456	92	27	(	(	PUNCT
ejpam-2456	92	28	0	0	NUM
ejpam-2456	92	29	,	,	PUNCT
ejpam-2456	92	30	1	1	NUM
ejpam-2456	92	31	)	)	PUNCT
ejpam-2456	92	32	such	such	ADJ
ejpam-2456	92	33	that	that	SCONJ
ejpam-2456	92	34	:	:	PUNCT
ejpam-2456	92	35	‖	‖	PROPN
ejpam-2456	92	36	f	f	X
ejpam-2456	92	37	(	(	PUNCT
ejpam-2456	92	38	x)−	x)−	PROPN
ejpam-2456	92	39	f	f	PROPN
ejpam-2456	92	40	(	(	PUNCT
ejpam-2456	92	41	y)‖n	y)‖n	NOUN
ejpam-2456	92	42	≤	≤	NUM
ejpam-2456	93	1	kn	kn	PROPN
ejpam-2456	93	2	‖x	‖x	NOUN
ejpam-2456	94	1	−	−	PROPN
ejpam-2456	94	2	y‖n	y‖n	NOUN
ejpam-2456	94	3	for	for	ADP
ejpam-2456	94	4	all	all	DET
ejpam-2456	94	5	x	x	SYM
ejpam-2456	94	6	,	,	PUNCT
ejpam-2456	94	7	y	y	PROPN
ejpam-2456	94	8	∈	∈	PROPN
ejpam-2456	94	9	x	x	X
ejpam-2456	94	10	.	.	PUNCT
ejpam-2456	95	1	theorem	theorem	NOUN
ejpam-2456	95	2	1	1	NUM
ejpam-2456	95	3	(	(	PUNCT
ejpam-2456	95	4	avramescu	avramescu	PROPN
ejpam-2456	95	5	’s	’s	PART
ejpam-2456	95	6	nonlinear	nonlinear	ADJ
ejpam-2456	95	7	alternative	alternative	NOUN
ejpam-2456	95	8	[	[	X
ejpam-2456	95	9	5	5	NUM
ejpam-2456	95	10	]	]	PUNCT
ejpam-2456	95	11	)	)	PUNCT
ejpam-2456	95	12	.	.	PUNCT
ejpam-2456	96	1	let	let	VERB
ejpam-2456	96	2	x	x	PRON
ejpam-2456	96	3	be	be	AUX
ejpam-2456	96	4	a	a	DET
ejpam-2456	96	5	fréchet	fréchet	NOUN
ejpam-2456	96	6	space	space	NOUN
ejpam-2456	96	7	and	and	CCONJ
ejpam-2456	96	8	let	let	VERB
ejpam-2456	96	9	a	a	DET
ejpam-2456	96	10	,	,	PUNCT
ejpam-2456	96	11	b	b	NOUN
ejpam-2456	96	12	:	:	PUNCT
ejpam-2456	96	13	x	x	SYM
ejpam-2456	96	14	→	→	PUNCT
ejpam-2456	96	15	x	x	PUNCT
ejpam-2456	96	16	be	be	AUX
ejpam-2456	96	17	two	two	NUM
ejpam-2456	96	18	operators	operator	NOUN
ejpam-2456	96	19	satisfying	satisfy	VERB
ejpam-2456	96	20	:	:	PUNCT
ejpam-2456	96	21	(	(	PUNCT
ejpam-2456	96	22	i	i	NOUN
ejpam-2456	96	23	)	)	PUNCT
ejpam-2456	96	24	a	a	PRON
ejpam-2456	96	25	is	be	AUX
ejpam-2456	96	26	a	a	DET
ejpam-2456	96	27	compact	compact	ADJ
ejpam-2456	96	28	operator	operator	NOUN
ejpam-2456	96	29	,	,	PUNCT
ejpam-2456	96	30	(	(	PUNCT
ejpam-2456	96	31	ii	ii	NOUN
ejpam-2456	96	32	)	)	PUNCT
ejpam-2456	96	33	b	b	PROPN
ejpam-2456	96	34	is	be	AUX
ejpam-2456	96	35	a	a	DET
ejpam-2456	96	36	contraction	contraction	NOUN
ejpam-2456	96	37	.	.	PUNCT
ejpam-2456	97	1	then	then	ADV
ejpam-2456	97	2	either	either	DET
ejpam-2456	97	3	one	one	NUM
ejpam-2456	97	4	of	of	ADP
ejpam-2456	97	5	the	the	DET
ejpam-2456	97	6	following	following	ADJ
ejpam-2456	97	7	statements	statement	NOUN
ejpam-2456	97	8	holds	hold	VERB
ejpam-2456	97	9	:	:	PUNCT
ejpam-2456	97	10	(	(	PUNCT
ejpam-2456	97	11	c1	c1	NOUN
ejpam-2456	97	12	)	)	PUNCT
ejpam-2456	97	13	the	the	DET
ejpam-2456	97	14	operator	operator	NOUN
ejpam-2456	97	15	a+	a+	PUNCT
ejpam-2456	97	16	b	b	NOUN
ejpam-2456	97	17	has	have	VERB
ejpam-2456	97	18	a	a	DET
ejpam-2456	97	19	fixed	fix	VERB
ejpam-2456	97	20	point	point	NOUN
ejpam-2456	97	21	;	;	PUNCT
ejpam-2456	97	22	(	(	PUNCT
ejpam-2456	97	23	c2	c2	PROPN
ejpam-2456	97	24	)	)	PUNCT
ejpam-2456	97	25	the	the	DET
ejpam-2456	97	26	set	set	VERB
ejpam-2456	97	27	�	�	PROPN
ejpam-2456	97	28	x	x	SYM
ejpam-2456	97	29	∈	∈	PROPN
ejpam-2456	97	30	x	x	X
ejpam-2456	97	31	,	,	PUNCT
ejpam-2456	97	32	x	x	SYM
ejpam-2456	97	33	=	=	NOUN
ejpam-2456	97	34	λa(x	λa(x	NOUN
ejpam-2456	97	35	)	)	PUNCT
ejpam-2456	98	1	+	+	PROPN
ejpam-2456	98	2	λb	λb	PROPN
ejpam-2456	98	3	�	�	PROPN
ejpam-2456	98	4	x	x	SYM
ejpam-2456	98	5	λ	λ	X
ejpam-2456	98	6	�	�	PROPN
ejpam-2456	98	7	is	be	AUX
ejpam-2456	98	8	unbounded	unbounded	ADJ
ejpam-2456	98	9	for	for	ADP
ejpam-2456	98	10	some	some	DET
ejpam-2456	98	11	λ	λ	NOUN
ejpam-2456	98	12	∈	∈	PROPN
ejpam-2456	98	13	(	(	PUNCT
ejpam-2456	98	14	0	0	NUM
ejpam-2456	98	15	,	,	PUNCT
ejpam-2456	98	16	1	1	NUM
ejpam-2456	98	17	)	)	PUNCT
ejpam-2456	98	18	.	.	PUNCT
ejpam-2456	99	1	d.	d.	PROPN
ejpam-2456	99	2	aoued	aoued	PROPN
ejpam-2456	99	3	,	,	PUNCT
ejpam-2456	99	4	s.	s.	PROPN
ejpam-2456	99	5	baghli	baghli	PROPN
ejpam-2456	99	6	-	-	PUNCT
ejpam-2456	99	7	bendimerad	bendimerad	PROPN
ejpam-2456	99	8	/	/	SYM
ejpam-2456	99	9	eur	eur	PROPN
ejpam-2456	99	10	.	.	PUNCT
ejpam-2456	100	1	j.	j.	PROPN
ejpam-2456	100	2	pure	pure	PROPN
ejpam-2456	100	3	appl	appl	PROPN
ejpam-2456	100	4	.	.	PROPN
ejpam-2456	100	5	math	math	PROPN
ejpam-2456	100	6	,	,	PUNCT
ejpam-2456	100	7	9	9	NUM
ejpam-2456	100	8	(	(	PUNCT
ejpam-2456	100	9	2016	2016	NUM
ejpam-2456	100	10	)	)	PUNCT
ejpam-2456	100	11	,	,	PUNCT
ejpam-2456	100	12	383	383	NUM
ejpam-2456	100	13	-	-	SYM
ejpam-2456	100	14	401	401	NUM
ejpam-2456	100	15	387	387	NUM
ejpam-2456	100	16	3	3	NUM
ejpam-2456	100	17	.	.	PUNCT
ejpam-2456	100	18	semilinear	semilinear	PROPN
ejpam-2456	100	19	evolution	evolution	PROPN
ejpam-2456	100	20	equations	equation	NOUN
ejpam-2456	100	21	before	before	ADP
ejpam-2456	100	22	stating	state	VERB
ejpam-2456	100	23	and	and	CCONJ
ejpam-2456	100	24	proving	prove	VERB
ejpam-2456	100	25	our	our	PRON
ejpam-2456	100	26	first	first	ADJ
ejpam-2456	100	27	main	main	ADJ
ejpam-2456	100	28	result	result	NOUN
ejpam-2456	100	29	,	,	PUNCT
ejpam-2456	100	30	we	we	PRON
ejpam-2456	100	31	define	define	VERB
ejpam-2456	100	32	firstly	firstly	ADV
ejpam-2456	100	33	the	the	DET
ejpam-2456	100	34	corresponding	corresponding	ADJ
ejpam-2456	100	35	mild	mild	ADJ
ejpam-2456	100	36	solution	solution	NOUN
ejpam-2456	100	37	then	then	ADV
ejpam-2456	100	38	we	we	PRON
ejpam-2456	100	39	define	define	VERB
ejpam-2456	100	40	the	the	DET
ejpam-2456	100	41	concept	concept	NOUN
ejpam-2456	100	42	of	of	ADP
ejpam-2456	100	43	controllability	controllability	NOUN
ejpam-2456	100	44	for	for	ADP
ejpam-2456	100	45	that	that	DET
ejpam-2456	100	46	problem	problem	NOUN
ejpam-2456	100	47	and	and	CCONJ
ejpam-2456	100	48	finally	finally	ADV
ejpam-2456	100	49	we	we	PRON
ejpam-2456	100	50	expose	expose	VERB
ejpam-2456	100	51	the	the	DET
ejpam-2456	100	52	properties	property	NOUN
ejpam-2456	100	53	of	of	ADP
ejpam-2456	100	54	state	state	NOUN
ejpam-2456	100	55	-	-	PUNCT
ejpam-2456	100	56	dependent	dependent	ADJ
ejpam-2456	100	57	delay	delay	NOUN
ejpam-2456	100	58	.	.	PUNCT
ejpam-2456	101	1	definition	definition	NOUN
ejpam-2456	101	2	3	3	NUM
ejpam-2456	101	3	.	.	PUNCT
ejpam-2456	102	1	we	we	PRON
ejpam-2456	102	2	say	say	VERB
ejpam-2456	102	3	that	that	SCONJ
ejpam-2456	102	4	the	the	DET
ejpam-2456	102	5	function	function	NOUN
ejpam-2456	102	6	y	y	NOUN
ejpam-2456	102	7	:	:	PUNCT
ejpam-2456	102	8	r→	r→	PROPN
ejpam-2456	102	9	e	e	PROPN
ejpam-2456	102	10	is	be	AUX
ejpam-2456	102	11	a	a	DET
ejpam-2456	102	12	mild	mild	ADJ
ejpam-2456	102	13	solution	solution	NOUN
ejpam-2456	102	14	of	of	ADP
ejpam-2456	102	15	(	(	PUNCT
ejpam-2456	102	16	1	1	X
ejpam-2456	102	17	)	)	PUNCT
ejpam-2456	102	18	if	if	SCONJ
ejpam-2456	102	19	y(t	y(t	NUM
ejpam-2456	102	20	)	)	PUNCT
ejpam-2456	102	21	=	=	SYM
ejpam-2456	102	22	φ(t	φ(t	PROPN
ejpam-2456	102	23	)	)	PUNCT
ejpam-2456	102	24	for	for	ADP
ejpam-2456	102	25	all	all	DET
ejpam-2456	102	26	t	t	NOUN
ejpam-2456	102	27	≤	≤	NOUN
ejpam-2456	102	28	0	0	PUNCT
ejpam-2456	102	29	and	and	CCONJ
ejpam-2456	102	30	y	y	PROPN
ejpam-2456	102	31	satisfies	satisfie	NOUN
ejpam-2456	102	32	for	for	ADP
ejpam-2456	102	33	each	each	DET
ejpam-2456	102	34	t	t	PROPN
ejpam-2456	102	35	≥	≥	NOUN
ejpam-2456	102	36	0	0	NUM
ejpam-2456	103	1	the	the	DET
ejpam-2456	103	2	following	follow	VERB
ejpam-2456	103	3	integral	integral	ADJ
ejpam-2456	103	4	equation	equation	NOUN
ejpam-2456	103	5	y(t	y(t	NUM
ejpam-2456	103	6	)	)	PUNCT
ejpam-2456	104	1	=	=	SYM
ejpam-2456	104	2	u(t	u(t	NOUN
ejpam-2456	104	3	,	,	PUNCT
ejpam-2456	104	4	0)φ(0	0)φ(0	NOUN
ejpam-2456	104	5	)	)	PUNCT
ejpam-2456	105	1	+	+	CCONJ
ejpam-2456	105	2	∫	∫	PROPN
ejpam-2456	105	3	t	t	NOUN
ejpam-2456	105	4	0	0	NUM
ejpam-2456	105	5	u(t	u(t	NOUN
ejpam-2456	105	6	,	,	PUNCT
ejpam-2456	105	7	s)cu(s)ds+	s)cu(s)ds+	X
ejpam-2456	106	1	∫	∫	PROPN
ejpam-2456	106	2	t	t	NOUN
ejpam-2456	106	3	0	0	NUM
ejpam-2456	106	4	u(t	u(t	PROPN
ejpam-2456	106	5	,	,	PUNCT
ejpam-2456	106	6	s	s	NOUN
ejpam-2456	106	7	)	)	PUNCT
ejpam-2456	106	8	f	f	NOUN
ejpam-2456	106	9	(	(	PUNCT
ejpam-2456	106	10	s	s	PROPN
ejpam-2456	106	11	,	,	PUNCT
ejpam-2456	106	12	yρ(s	yρ(s	NOUN
ejpam-2456	106	13	,	,	PUNCT
ejpam-2456	106	14	ys))ds	ys))ds	PROPN
ejpam-2456	106	15	.	.	PROPN
ejpam-2456	107	1	(	(	PUNCT
ejpam-2456	107	2	3	3	X
ejpam-2456	107	3	)	)	PUNCT
ejpam-2456	107	4	definition	definition	NOUN
ejpam-2456	107	5	4	4	NUM
ejpam-2456	107	6	.	.	PUNCT
ejpam-2456	108	1	the	the	DET
ejpam-2456	108	2	evolution	evolution	NOUN
ejpam-2456	108	3	problem	problem	NOUN
ejpam-2456	108	4	(	(	PUNCT
ejpam-2456	108	5	1	1	X
ejpam-2456	108	6	)	)	PUNCT
ejpam-2456	108	7	is	be	AUX
ejpam-2456	108	8	said	say	VERB
ejpam-2456	108	9	to	to	PART
ejpam-2456	108	10	be	be	AUX
ejpam-2456	108	11	controllable	controllable	ADJ
ejpam-2456	108	12	if	if	SCONJ
ejpam-2456	108	13	for	for	ADP
ejpam-2456	108	14	every	every	DET
ejpam-2456	108	15	initial	initial	ADJ
ejpam-2456	108	16	function	function	NOUN
ejpam-2456	108	17	φ	φ	PROPN
ejpam-2456	108	18	∈	∈	PROPN
ejpam-2456	108	19	b	b	PROPN
ejpam-2456	108	20	,	,	PUNCT
ejpam-2456	108	21	y∗	y∗	PROPN
ejpam-2456	108	22	∈	∈	NOUN
ejpam-2456	108	23	e	e	NOUN
ejpam-2456	108	24	and	and	CCONJ
ejpam-2456	108	25	for	for	ADP
ejpam-2456	108	26	some	some	DET
ejpam-2456	108	27	n	n	PRON
ejpam-2456	108	28	∈	∈	PROPN
ejpam-2456	108	29	n	n	CCONJ
ejpam-2456	108	30	,	,	PUNCT
ejpam-2456	108	31	there	there	PRON
ejpam-2456	108	32	is	be	VERB
ejpam-2456	108	33	some	some	DET
ejpam-2456	108	34	control	control	NOUN
ejpam-2456	108	35	u	u	NOUN
ejpam-2456	108	36	∈	∈	PROPN
ejpam-2456	108	37	l2([0	l2([0	PROPN
ejpam-2456	108	38	,	,	PUNCT
ejpam-2456	108	39	n	n	CCONJ
ejpam-2456	108	40	]	]	PUNCT
ejpam-2456	108	41	;	;	PUNCT
ejpam-2456	108	42	e	e	X
ejpam-2456	108	43	)	)	PUNCT
ejpam-2456	108	44	such	such	ADJ
ejpam-2456	108	45	that	that	SCONJ
ejpam-2456	108	46	the	the	DET
ejpam-2456	108	47	mild	mild	ADJ
ejpam-2456	108	48	solution	solution	NOUN
ejpam-2456	108	49	y	y	PROPN
ejpam-2456	108	50	(	(	PUNCT
ejpam-2456	108	51	·	·	PUNCT
ejpam-2456	108	52	)	)	PUNCT
ejpam-2456	108	53	of	of	ADP
ejpam-2456	108	54	(	(	PUNCT
ejpam-2456	108	55	1	1	X
ejpam-2456	108	56	)	)	PUNCT
ejpam-2456	108	57	satisfies	satisfy	VERB
ejpam-2456	108	58	the	the	DET
ejpam-2456	108	59	terminal	terminal	ADJ
ejpam-2456	108	60	condition	condition	NOUN
ejpam-2456	108	61	y(n	y(n	PRON
ejpam-2456	108	62	)	)	PUNCT
ejpam-2456	109	1	=	=	SYM
ejpam-2456	109	2	y∗.	y∗.	NUM
ejpam-2456	109	3	setr(ρ−	setr(ρ−	PROPN
ejpam-2456	109	4	)	)	PUNCT
ejpam-2456	110	1	=	=	PRON
ejpam-2456	110	2	{	{	PUNCT
ejpam-2456	110	3	ρ(s	ρ(s	PROPN
ejpam-2456	110	4	,	,	PUNCT
ejpam-2456	110	5	φ	φ	NUM
ejpam-2456	110	6	)	)	PUNCT
ejpam-2456	110	7	:	:	PUNCT
ejpam-2456	110	8	(	(	PUNCT
ejpam-2456	110	9	s	s	X
ejpam-2456	110	10	,	,	PUNCT
ejpam-2456	110	11	φ	φ	NOUN
ejpam-2456	110	12	)	)	PUNCT
ejpam-2456	110	13	∈	∈	PROPN
ejpam-2456	110	14	j×b	j×b	PROPN
ejpam-2456	110	15	,	,	PUNCT
ejpam-2456	110	16	ρ(s	ρ(s	PROPN
ejpam-2456	110	17	,	,	PUNCT
ejpam-2456	110	18	φ)≤	φ)≤	NOUN
ejpam-2456	110	19	0	0	NUM
ejpam-2456	110	20	}	}	PUNCT
ejpam-2456	110	21	.	.	PUNCT
ejpam-2456	111	1	we	we	PRON
ejpam-2456	111	2	always	always	ADV
ejpam-2456	111	3	assume	assume	VERB
ejpam-2456	111	4	that	that	SCONJ
ejpam-2456	111	5	ρ	ρ	X
ejpam-2456	111	6	:	:	PUNCT
ejpam-2456	111	7	j×b	j×b	NOUN
ejpam-2456	111	8	→	→	SYM
ejpam-2456	111	9	r	r	NOUN
ejpam-2456	111	10	is	be	AUX
ejpam-2456	111	11	continuous	continuous	ADJ
ejpam-2456	111	12	.	.	PUNCT
ejpam-2456	112	1	additionally	additionally	ADV
ejpam-2456	112	2	,	,	PUNCT
ejpam-2456	112	3	we	we	PRON
ejpam-2456	112	4	introduce	introduce	VERB
ejpam-2456	112	5	the	the	DET
ejpam-2456	112	6	following	following	ADJ
ejpam-2456	112	7	hypothesis	hypothesis	NOUN
ejpam-2456	112	8	:	:	PUNCT
ejpam-2456	112	9	(	(	PUNCT
ejpam-2456	112	10	hφ	hφ	PROPN
ejpam-2456	112	11	)	)	PUNCT
ejpam-2456	112	12	the	the	DET
ejpam-2456	112	13	function	function	NOUN
ejpam-2456	112	14	t	t	PROPN
ejpam-2456	112	15	→	→	SYM
ejpam-2456	112	16	φt	φt	NOUN
ejpam-2456	112	17	is	be	AUX
ejpam-2456	112	18	continuous	continuous	ADJ
ejpam-2456	112	19	from	from	ADP
ejpam-2456	112	20	r(ρ−	r(ρ−	ADJ
ejpam-2456	112	21	)	)	PUNCT
ejpam-2456	112	22	into	into	ADP
ejpam-2456	112	23	b	b	NOUN
ejpam-2456	112	24	and	and	CCONJ
ejpam-2456	112	25	there	there	PRON
ejpam-2456	112	26	exists	exist	VERB
ejpam-2456	112	27	a	a	DET
ejpam-2456	112	28	continuous	continuous	ADJ
ejpam-2456	112	29	and	and	CCONJ
ejpam-2456	112	30	bounded	bounded	ADJ
ejpam-2456	112	31	function	function	NOUN
ejpam-2456	112	32	lφ	lφ	NOUN
ejpam-2456	112	33	:	:	PUNCT
ejpam-2456	112	34	r(ρ−)→	r(ρ−)→	X
ejpam-2456	112	35	(	(	PUNCT
ejpam-2456	112	36	0,+∞	0,+∞	NUM
ejpam-2456	112	37	)	)	PUNCT
ejpam-2456	112	38	such	such	ADJ
ejpam-2456	112	39	that	that	SCONJ
ejpam-2456	112	40	‖φt‖b	‖φt‖b	PROPN
ejpam-2456	112	41	≤	≤	X
ejpam-2456	112	42	lφ(t)‖φ‖b	lφ(t)‖φ‖b	X
ejpam-2456	112	43	for	for	ADP
ejpam-2456	112	44	every	every	DET
ejpam-2456	112	45	t	t	PROPN
ejpam-2456	112	46	∈	∈	PROPN
ejpam-2456	112	47	r(ρ−	r(ρ−	PROPN
ejpam-2456	112	48	)	)	PUNCT
ejpam-2456	112	49	.	.	PUNCT
ejpam-2456	113	1	remark	remark	NOUN
ejpam-2456	113	2	1	1	NUM
ejpam-2456	113	3	.	.	ADP
ejpam-2456	113	4	continuous	continuous	ADJ
ejpam-2456	113	5	and	and	CCONJ
ejpam-2456	113	6	bounded	bounded	ADJ
ejpam-2456	113	7	functions	function	NOUN
ejpam-2456	113	8	verified	verify	VERB
ejpam-2456	113	9	frequently	frequently	ADV
ejpam-2456	113	10	the	the	DET
ejpam-2456	113	11	condition	condition	NOUN
ejpam-2456	113	12	(	(	PUNCT
ejpam-2456	113	13	hφ	hφ	PROPN
ejpam-2456	113	14	)	)	PUNCT
ejpam-2456	113	15	,	,	PUNCT
ejpam-2456	113	16	for	for	ADP
ejpam-2456	113	17	more	more	ADJ
ejpam-2456	113	18	details	detail	NOUN
ejpam-2456	113	19	,	,	PUNCT
ejpam-2456	113	20	see	see	VERB
ejpam-2456	113	21	for	for	ADP
ejpam-2456	113	22	instance	instance	NOUN
ejpam-2456	113	23	[	[	X
ejpam-2456	113	24	23	23	NUM
ejpam-2456	113	25	]	]	PUNCT
ejpam-2456	113	26	.	.	PUNCT
ejpam-2456	114	1	lemma	lemma	PROPN
ejpam-2456	114	2	2	2	NUM
ejpam-2456	114	3	(	(	PUNCT
ejpam-2456	114	4	[	[	X
ejpam-2456	114	5	22	22	NUM
ejpam-2456	114	6	]	]	PUNCT
ejpam-2456	114	7	)	)	PUNCT
ejpam-2456	114	8	.	.	PUNCT
ejpam-2456	115	1	if	if	SCONJ
ejpam-2456	115	2	y	y	PROPN
ejpam-2456	115	3	:	:	PUNCT
ejpam-2456	115	4	(	(	PUNCT
ejpam-2456	115	5	−∞	−∞	NOUN
ejpam-2456	115	6	,	,	PUNCT
ejpam-2456	115	7	b]→	b]→	X
ejpam-2456	115	8	e	e	NOUN
ejpam-2456	115	9	is	be	AUX
ejpam-2456	115	10	a	a	DET
ejpam-2456	115	11	function	function	NOUN
ejpam-2456	115	12	such	such	ADJ
ejpam-2456	115	13	that	that	SCONJ
ejpam-2456	115	14	y0	y0	PROPN
ejpam-2456	115	15	=	=	SYM
ejpam-2456	115	16	φ	φ	PROPN
ejpam-2456	115	17	,	,	PUNCT
ejpam-2456	115	18	then	then	ADV
ejpam-2456	115	19	‖ys‖b	‖ys‖b	PROPN
ejpam-2456	115	20	≤	≤	PROPN
ejpam-2456	115	21	(	(	PUNCT
ejpam-2456	115	22	mb	mb	ADP
ejpam-2456	115	23	+	+	CCONJ
ejpam-2456	115	24	lφ)‖φ‖b	lφ)‖φ‖b	PROPN
ejpam-2456	116	1	+	+	CCONJ
ejpam-2456	116	2	kb	kb	PROPN
ejpam-2456	116	3	sup{|y(θ	sup{|y(θ	PUNCT
ejpam-2456	116	4	)	)	PUNCT
ejpam-2456	117	1	|;θ	|;θ	PROPN
ejpam-2456	117	2	∈	∈	PROPN
ejpam-2456	118	1	[	[	X
ejpam-2456	118	2	0	0	NUM
ejpam-2456	118	3	,	,	PUNCT
ejpam-2456	118	4	max{0	max{0	PROPN
ejpam-2456	118	5	,	,	PUNCT
ejpam-2456	118	6	s	s	PART
ejpam-2456	118	7	}	}	PUNCT
ejpam-2456	118	8	]	]	PUNCT
ejpam-2456	118	9	}	}	PUNCT
ejpam-2456	118	10	,	,	PUNCT
ejpam-2456	118	11	s	s	NOUN
ejpam-2456	118	12	∈	∈	PROPN
ejpam-2456	118	13	r(ρ−)∪	r(ρ−)∪	PROPN
ejpam-2456	118	14	j	j	PROPN
ejpam-2456	118	15	where	where	SCONJ
ejpam-2456	118	16	lφ	lφ	PROPN
ejpam-2456	118	17	=	=	SYM
ejpam-2456	118	18	supt∈r(ρ−	supt∈r(ρ−	PROPN
ejpam-2456	118	19	)	)	PUNCT
ejpam-2456	118	20	lφ(t	lφ(t	PROPN
ejpam-2456	118	21	)	)	PUNCT
ejpam-2456	118	22	.	.	PUNCT
ejpam-2456	119	1	proposition	proposition	NOUN
ejpam-2456	119	2	1	1	NUM
ejpam-2456	119	3	.	.	PUNCT
ejpam-2456	119	4	from	from	ADP
ejpam-2456	119	5	(	(	PUNCT
ejpam-2456	119	6	hφ	hφ	PROPN
ejpam-2456	119	7	)	)	PUNCT
ejpam-2456	119	8	,	,	PUNCT
ejpam-2456	119	9	(	(	PUNCT
ejpam-2456	119	10	a1	a1	NOUN
ejpam-2456	119	11	)	)	PUNCT
ejpam-2456	119	12	and	and	CCONJ
ejpam-2456	119	13	lemma	lemma	PROPN
ejpam-2456	119	14	2	2	NUM
ejpam-2456	119	15	,	,	PUNCT
ejpam-2456	119	16	for	for	ADP
ejpam-2456	119	17	all	all	DET
ejpam-2456	119	18	t	t	NOUN
ejpam-2456	119	19	∈	∈	PROPN
ejpam-2456	120	1	[	[	X
ejpam-2456	120	2	0	0	NUM
ejpam-2456	120	3	,	,	PUNCT
ejpam-2456	120	4	n	n	CCONJ
ejpam-2456	120	5	]	]	PUNCT
ejpam-2456	120	6	and	and	CCONJ
ejpam-2456	120	7	n	n	PRON
ejpam-2456	120	8	∈	∈	NOUN
ejpam-2456	120	9	n	n	CCONJ
ejpam-2456	120	10	we	we	PRON
ejpam-2456	120	11	have	have	AUX
ejpam-2456	120	12	‖yρ(t	‖yρ(t	PUNCT
ejpam-2456	120	13	,	,	PUNCT
ejpam-2456	120	14	yt	yt	NOUN
ejpam-2456	120	15	)	)	PUNCT
ejpam-2456	120	16	‖b	‖b	PROPN
ejpam-2456	121	1	≤	≤	NUM
ejpam-2456	121	2	kn|y(t)|+	kn|y(t)|+	NOUN
ejpam-2456	122	1	(	(	PUNCT
ejpam-2456	122	2	mn	mn	PROPN
ejpam-2456	122	3	+	+	CCONJ
ejpam-2456	123	1	lφ)‖φ‖b	lφ)‖φ‖b	PROPN
ejpam-2456	123	2	.	.	PUNCT
ejpam-2456	124	1	we	we	PRON
ejpam-2456	124	2	will	will	AUX
ejpam-2456	124	3	need	need	VERB
ejpam-2456	124	4	to	to	PART
ejpam-2456	124	5	introduce	introduce	VERB
ejpam-2456	124	6	the	the	DET
ejpam-2456	124	7	following	following	ADJ
ejpam-2456	124	8	hypothesis	hypothesis	NOUN
ejpam-2456	124	9	which	which	PRON
ejpam-2456	124	10	are	be	AUX
ejpam-2456	124	11	assumed	assume	VERB
ejpam-2456	124	12	thereafter	thereafter	ADV
ejpam-2456	124	13	:	:	PUNCT
ejpam-2456	124	14	(	(	PUNCT
ejpam-2456	124	15	h0	h0	NOUN
ejpam-2456	124	16	)	)	PUNCT
ejpam-2456	124	17	u(t	u(t	PROPN
ejpam-2456	124	18	,	,	PUNCT
ejpam-2456	124	19	s	s	PART
ejpam-2456	124	20	)	)	PUNCT
ejpam-2456	124	21	is	be	AUX
ejpam-2456	124	22	compact	compact	ADJ
ejpam-2456	124	23	for	for	ADP
ejpam-2456	124	24	t	t	PROPN
ejpam-2456	125	1	−	−	PROPN
ejpam-2456	125	2	s	s	X
ejpam-2456	125	3	>	>	X
ejpam-2456	125	4	0	0	NUM
ejpam-2456	125	5	.	.	PUNCT
ejpam-2456	126	1	(	(	PUNCT
ejpam-2456	126	2	h1	h1	PROPN
ejpam-2456	126	3	)	)	PUNCT
ejpam-2456	126	4	there	there	PRON
ejpam-2456	126	5	exists	exist	VERB
ejpam-2456	126	6	a	a	DET
ejpam-2456	126	7	constant	constant	ADJ
ejpam-2456	126	8	òm	òm	X
ejpam-2456	126	9	≥	≥	NOUN
ejpam-2456	126	10	1	1	NUM
ejpam-2456	126	11	such	such	ADJ
ejpam-2456	126	12	that	that	SCONJ
ejpam-2456	126	13	‖u(t	‖u(t	NOUN
ejpam-2456	126	14	,	,	PUNCT
ejpam-2456	126	15	s)‖b(e	s)‖b(e	ADJ
ejpam-2456	126	16	)	)	PUNCT
ejpam-2456	126	17	≤	≤	NOUN
ejpam-2456	126	18	òm	òm	INTJ
ejpam-2456	126	19	for	for	ADP
ejpam-2456	126	20	every	every	DET
ejpam-2456	126	21	(	(	PUNCT
ejpam-2456	126	22	t	t	PROPN
ejpam-2456	126	23	,	,	PUNCT
ejpam-2456	126	24	s	s	PART
ejpam-2456	126	25	)	)	PUNCT
ejpam-2456	126	26	∈∆.	∈∆.	PROPN
ejpam-2456	126	27	(	(	PUNCT
ejpam-2456	126	28	h2	h2	PROPN
ejpam-2456	126	29	)	)	PUNCT
ejpam-2456	126	30	there	there	PRON
ejpam-2456	126	31	exists	exist	VERB
ejpam-2456	126	32	a	a	DET
ejpam-2456	126	33	function	function	NOUN
ejpam-2456	126	34	p	p	PROPN
ejpam-2456	126	35	∈	∈	PROPN
ejpam-2456	126	36	l1	l1	PROPN
ejpam-2456	126	37	loc(j	loc(j	PROPN
ejpam-2456	126	38	;	;	PUNCT
ejpam-2456	126	39	r+	r+	X
ejpam-2456	126	40	)	)	PUNCT
ejpam-2456	126	41	and	and	CCONJ
ejpam-2456	126	42	a	a	DET
ejpam-2456	126	43	continuous	continuous	ADJ
ejpam-2456	126	44	nondecreasing	nondecreasing	ADJ
ejpam-2456	126	45	function	function	NOUN
ejpam-2456	126	46	ψ	ψ	NOUN
ejpam-2456	126	47	:	:	PUNCT
ejpam-2456	126	48	r+→	r+→	PROPN
ejpam-2456	126	49	(	(	PUNCT
ejpam-2456	126	50	0,+∞	0,+∞	NUM
ejpam-2456	126	51	)	)	PUNCT
ejpam-2456	126	52	and	and	CCONJ
ejpam-2456	126	53	such	such	ADJ
ejpam-2456	126	54	that	that	PRON
ejpam-2456	126	55	:	:	PUNCT
ejpam-2456	127	1	|	|	ADV
ejpam-2456	127	2	f	f	X
ejpam-2456	127	3	(	(	PUNCT
ejpam-2456	127	4	t	t	PROPN
ejpam-2456	127	5	,	,	PUNCT
ejpam-2456	127	6	u)|	u)|	ADJ
ejpam-2456	127	7	≤	≤	ADJ
ejpam-2456	127	8	p(t	p(t	NOUN
ejpam-2456	127	9	)	)	PUNCT
ejpam-2456	127	10	ψ(‖u‖b	ψ(‖u‖b	NUM
ejpam-2456	127	11	)	)	PUNCT
ejpam-2456	127	12	for	for	ADP
ejpam-2456	127	13	a.e	a.e	PROPN
ejpam-2456	127	14	.	.	PROPN
ejpam-2456	127	15	t	t	PROPN
ejpam-2456	127	16	∈	∈	PROPN
ejpam-2456	127	17	j	j	PROPN
ejpam-2456	127	18	and	and	CCONJ
ejpam-2456	127	19	each	each	DET
ejpam-2456	127	20	u	u	PROPN
ejpam-2456	127	21	∈b	∈b	PROPN
ejpam-2456	127	22	.	.	PUNCT
ejpam-2456	128	1	d.	d.	PROPN
ejpam-2456	128	2	aoued	aoued	PROPN
ejpam-2456	128	3	,	,	PUNCT
ejpam-2456	128	4	s.	s.	PROPN
ejpam-2456	128	5	baghli	baghli	PROPN
ejpam-2456	128	6	-	-	PUNCT
ejpam-2456	128	7	bendimerad	bendimerad	PROPN
ejpam-2456	128	8	/	/	SYM
ejpam-2456	128	9	eur	eur	PROPN
ejpam-2456	128	10	.	.	PUNCT
ejpam-2456	129	1	j.	j.	PROPN
ejpam-2456	129	2	pure	pure	PROPN
ejpam-2456	129	3	appl	appl	PROPN
ejpam-2456	129	4	.	.	PROPN
ejpam-2456	129	5	math	math	PROPN
ejpam-2456	129	6	,	,	PUNCT
ejpam-2456	129	7	9	9	NUM
ejpam-2456	129	8	(	(	PUNCT
ejpam-2456	129	9	2016	2016	NUM
ejpam-2456	129	10	)	)	PUNCT
ejpam-2456	129	11	,	,	PUNCT
ejpam-2456	129	12	383	383	NUM
ejpam-2456	129	13	-	-	SYM
ejpam-2456	129	14	401	401	NUM
ejpam-2456	129	15	388	388	NUM
ejpam-2456	129	16	(	(	PUNCT
ejpam-2456	129	17	h3	h3	NOUN
ejpam-2456	129	18	)	)	PUNCT
ejpam-2456	129	19	for	for	ADP
ejpam-2456	129	20	all	all	DET
ejpam-2456	129	21	r	r	NOUN
ejpam-2456	129	22	>	>	X
ejpam-2456	129	23	0	0	NUM
ejpam-2456	129	24	,	,	PUNCT
ejpam-2456	129	25	there	there	PRON
ejpam-2456	129	26	exists	exist	VERB
ejpam-2456	129	27	lr	lr	PROPN
ejpam-2456	129	28	∈	∈	PROPN
ejpam-2456	129	29	l1	l1	PROPN
ejpam-2456	129	30	loc(j	loc(j	PROPN
ejpam-2456	129	31	;	;	PUNCT
ejpam-2456	129	32	r+	r+	X
ejpam-2456	129	33	)	)	PUNCT
ejpam-2456	130	1	such	such	ADJ
ejpam-2456	130	2	that	that	SCONJ
ejpam-2456	130	3	:	:	PUNCT
ejpam-2456	130	4	|	|	ADV
ejpam-2456	130	5	f	f	X
ejpam-2456	130	6	(	(	PUNCT
ejpam-2456	130	7	t	t	PROPN
ejpam-2456	130	8	,	,	PUNCT
ejpam-2456	130	9	u)−	u)−	PROPN
ejpam-2456	130	10	f	f	PROPN
ejpam-2456	130	11	(	(	PUNCT
ejpam-2456	130	12	t	t	PROPN
ejpam-2456	130	13	,	,	PUNCT
ejpam-2456	130	14	v)|	v)|	ADJ
ejpam-2456	130	15	≤	≤	NUM
ejpam-2456	130	16	lr(t	lr(t	NOUN
ejpam-2456	130	17	)	)	PUNCT
ejpam-2456	130	18	‖u−	‖u−	ADV
ejpam-2456	130	19	v‖b	v‖b	ADJ
ejpam-2456	130	20	for	for	ADP
ejpam-2456	130	21	all	all	DET
ejpam-2456	130	22	u	u	NOUN
ejpam-2456	130	23	,	,	PUNCT
ejpam-2456	130	24	v	v	ADP
ejpam-2456	130	25	∈b	∈b	PROPN
ejpam-2456	130	26	with	with	ADP
ejpam-2456	130	27	‖u‖b	‖u‖b	ADJ
ejpam-2456	130	28	≤	≤	NUM
ejpam-2456	130	29	r	r	NOUN
ejpam-2456	130	30	and	and	CCONJ
ejpam-2456	130	31	‖v‖b	‖v‖b	ADJ
ejpam-2456	130	32	≤	≤	PROPN
ejpam-2456	130	33	r.	r.	PROPN
ejpam-2456	130	34	(	(	PUNCT
ejpam-2456	130	35	h4	h4	PROPN
ejpam-2456	130	36	)	)	PUNCT
ejpam-2456	130	37	for	for	ADP
ejpam-2456	130	38	each	each	DET
ejpam-2456	130	39	n	n	PRON
ejpam-2456	130	40	∈	∈	PROPN
ejpam-2456	130	41	n	n	CCONJ
ejpam-2456	130	42	,	,	PUNCT
ejpam-2456	130	43	the	the	DET
ejpam-2456	130	44	linear	linear	ADJ
ejpam-2456	130	45	operator	operator	NOUN
ejpam-2456	130	46	w	w	PROPN
ejpam-2456	130	47	:	:	PUNCT
ejpam-2456	130	48	l2([0	l2([0	PROPN
ejpam-2456	130	49	,	,	PUNCT
ejpam-2456	130	50	n	n	CCONJ
ejpam-2456	130	51	]	]	PUNCT
ejpam-2456	130	52	;	;	PUNCT
ejpam-2456	130	53	e)→	e)→	ADJ
ejpam-2456	130	54	e	e	NOUN
ejpam-2456	130	55	is	be	AUX
ejpam-2456	130	56	defined	define	VERB
ejpam-2456	130	57	by	by	ADP
ejpam-2456	130	58	wu=	wu=	PROPN
ejpam-2456	130	59	∫	∫	PROPN
ejpam-2456	130	60	n	n	CCONJ
ejpam-2456	130	61	0	0	NUM
ejpam-2456	130	62	u(n	u(n	PROPN
ejpam-2456	130	63	,	,	PUNCT
ejpam-2456	130	64	s)cu(s)ds	s)cu(s)ds	PROPN
ejpam-2456	130	65	,	,	PUNCT
ejpam-2456	130	66	has	have	VERB
ejpam-2456	130	67	a	a	DET
ejpam-2456	130	68	pseudo	pseudo	NOUN
ejpam-2456	130	69	invertible	invertible	ADJ
ejpam-2456	130	70	operator	operator	NOUN
ejpam-2456	130	71	w̃−1	w̃−1	PROPN
ejpam-2456	130	72	which	which	PRON
ejpam-2456	130	73	takes	take	VERB
ejpam-2456	130	74	values	value	NOUN
ejpam-2456	130	75	n	n	X
ejpam-2456	130	76	l2([0	l2([0	X
ejpam-2456	130	77	,	,	PUNCT
ejpam-2456	130	78	n	n	CCONJ
ejpam-2456	130	79	]	]	X
ejpam-2456	130	80	;	;	PUNCT
ejpam-2456	130	81	e)/ker	e)/ker	PROPN
ejpam-2456	130	82	w	w	NOUN
ejpam-2456	130	83	and	and	CCONJ
ejpam-2456	130	84	there	there	PRON
ejpam-2456	130	85	exists	exist	VERB
ejpam-2456	130	86	positive	positive	ADJ
ejpam-2456	130	87	constants	constant	NOUN
ejpam-2456	130	88	em	em	PRON
ejpam-2456	130	89	and	and	CCONJ
ejpam-2456	130	90	em1	em1	PRON
ejpam-2456	130	91	such	such	ADJ
ejpam-2456	130	92	that	that	PRON
ejpam-2456	130	93	:	:	PUNCT
ejpam-2456	130	94	‖c‖	‖c‖	PROPN
ejpam-2456	130	95	≤	≤	VERB
ejpam-2456	130	96	em	em	PRON
ejpam-2456	130	97	and	and	CCONJ
ejpam-2456	130	98	‖w̃−1‖	‖w̃−1‖	PROPN
ejpam-2456	130	99	≤	≤	X
ejpam-2456	130	100	em1	em1	PROPN
ejpam-2456	130	101	.	.	PUNCT
ejpam-2456	131	1	for	for	ADP
ejpam-2456	131	2	the	the	DET
ejpam-2456	131	3	construction	construction	NOUN
ejpam-2456	131	4	of	of	ADP
ejpam-2456	131	5	w̃−1	w̃−1	NOUN
ejpam-2456	131	6	see	see	VERB
ejpam-2456	131	7	the	the	DET
ejpam-2456	131	8	paper	paper	NOUN
ejpam-2456	131	9	of	of	ADP
ejpam-2456	131	10	carmichael	carmichael	PROPN
ejpam-2456	131	11	et	et	PROPN
ejpam-2456	131	12	al	al	PROPN
ejpam-2456	131	13	.	.	PUNCT
ejpam-2456	132	1	[	[	X
ejpam-2456	132	2	12	12	NUM
ejpam-2456	132	3	]	]	PUNCT
ejpam-2456	132	4	.	.	PUNCT
ejpam-2456	133	1	consider	consider	VERB
ejpam-2456	133	2	the	the	DET
ejpam-2456	133	3	following	follow	VERB
ejpam-2456	133	4	space	space	NOUN
ejpam-2456	133	5	b+∞	b+∞	PROPN
ejpam-2456	133	6	=	=	SYM
ejpam-2456	133	7	�	�	PROPN
ejpam-2456	134	1	y	y	NOUN
ejpam-2456	134	2	:	:	PUNCT
ejpam-2456	134	3	r→	r→	PROPN
ejpam-2456	134	4	e	e	NOUN
ejpam-2456	134	5	:	:	PUNCT
ejpam-2456	134	6	y|[0,t	y|[0,t	X
ejpam-2456	134	7	]	]	X
ejpam-2456	134	8	continuous	continuous	ADJ
ejpam-2456	134	9	for	for	ADP
ejpam-2456	134	10	t	t	PROPN
ejpam-2456	134	11	>	>	X
ejpam-2456	134	12	0	0	PUNCT
ejpam-2456	134	13	and	and	CCONJ
ejpam-2456	134	14	y0	y0	PROPN
ejpam-2456	134	15	∈b	∈b	NOUN
ejpam-2456	134	16	where	where	SCONJ
ejpam-2456	134	17	y|[0,t	y|[0,t	NOUN
ejpam-2456	134	18	]	]	X
ejpam-2456	134	19	is	be	AUX
ejpam-2456	134	20	the	the	DET
ejpam-2456	134	21	restriction	restriction	NOUN
ejpam-2456	134	22	of	of	ADP
ejpam-2456	134	23	y	y	PROPN
ejpam-2456	134	24	to	to	ADP
ejpam-2456	134	25	the	the	DET
ejpam-2456	134	26	real	real	ADJ
ejpam-2456	134	27	compact	compact	ADJ
ejpam-2456	134	28	interval	interval	NOUN
ejpam-2456	134	29	[	[	X
ejpam-2456	134	30	0	0	NUM
ejpam-2456	134	31	,	,	PUNCT
ejpam-2456	134	32	t	t	PROPN
ejpam-2456	134	33	]	]	PUNCT
ejpam-2456	134	34	.	.	PUNCT
ejpam-2456	135	1	let	let	VERB
ejpam-2456	135	2	us	we	PRON
ejpam-2456	135	3	fix	fix	VERB
ejpam-2456	135	4	τ	τ	PROPN
ejpam-2456	135	5	>	>	X
ejpam-2456	135	6	1	1	X
ejpam-2456	135	7	.	.	PUNCT
ejpam-2456	136	1	for	for	ADP
ejpam-2456	136	2	every	every	DET
ejpam-2456	136	3	n	n	PRON
ejpam-2456	136	4	∈	∈	PROPN
ejpam-2456	136	5	n	n	CCONJ
ejpam-2456	136	6	,	,	PUNCT
ejpam-2456	136	7	we	we	PRON
ejpam-2456	136	8	define	define	VERB
ejpam-2456	136	9	in	in	ADP
ejpam-2456	136	10	b+∞	b+∞	PROPN
ejpam-2456	136	11	the	the	DET
ejpam-2456	136	12	semi	semi	NOUN
ejpam-2456	136	13	-	-	NOUN
ejpam-2456	136	14	norms	norm	NOUN
ejpam-2456	136	15	by	by	ADP
ejpam-2456	136	16	:	:	PUNCT
ejpam-2456	136	17	‖y‖n	‖y‖n	NOUN
ejpam-2456	136	18	:	:	PUNCT
ejpam-2456	136	19	=	=	SYM
ejpam-2456	136	20	sup	sup	NOUN
ejpam-2456	136	21	t∈[0,n	t∈[0,n	NOUN
ejpam-2456	136	22	]	]	X
ejpam-2456	136	23	e−τ	e−τ	NOUN
ejpam-2456	136	24	l∗n(t	l∗n(t	X
ejpam-2456	136	25	)	)	PUNCT
ejpam-2456	136	26	|y(t)|	|y(t)|	VERB
ejpam-2456	136	27	where	where	SCONJ
ejpam-2456	136	28	l∗n(t	l∗n(t	PROPN
ejpam-2456	136	29	)	)	PUNCT
ejpam-2456	137	1	=	=	SYM
ejpam-2456	137	2	∫	∫	PROPN
ejpam-2456	137	3	t	t	PROPN
ejpam-2456	137	4	0	0	NUM
ejpam-2456	137	5	ln(s	ln(s	NOUN
ejpam-2456	137	6	)	)	PUNCT
ejpam-2456	137	7	ds	ds	NOUN
ejpam-2456	137	8	,	,	PUNCT
ejpam-2456	137	9	ln(t	ln(t	NUM
ejpam-2456	137	10	)	)	PUNCT
ejpam-2456	137	11	=	=	SYM
ejpam-2456	137	12	knòmln(t	knòmln(t	PROPN
ejpam-2456	137	13	)	)	PUNCT
ejpam-2456	137	14	and	and	CCONJ
ejpam-2456	137	15	ln	ln	ADV
ejpam-2456	137	16	is	be	AUX
ejpam-2456	137	17	the	the	DET
ejpam-2456	137	18	function	function	NOUN
ejpam-2456	137	19	from	from	ADP
ejpam-2456	137	20	(	(	PUNCT
ejpam-2456	137	21	h3	h3	NOUN
ejpam-2456	137	22	)	)	PUNCT
ejpam-2456	137	23	.	.	PUNCT
ejpam-2456	138	1	then	then	ADV
ejpam-2456	138	2	b+∞	b+∞	PROPN
ejpam-2456	138	3	is	be	AUX
ejpam-2456	138	4	a	a	DET
ejpam-2456	138	5	fréchet	fréchet	NOUN
ejpam-2456	138	6	space	space	NOUN
ejpam-2456	138	7	with	with	ADP
ejpam-2456	138	8	those	those	DET
ejpam-2456	138	9	family	family	NOUN
ejpam-2456	138	10	of	of	ADP
ejpam-2456	138	11	semi	semi	NOUN
ejpam-2456	138	12	-	-	ADJ
ejpam-2456	138	13	norms	norms	ADJ
ejpam-2456	138	14	‖	‖	ADJ
ejpam-2456	138	15	·	·	SYM
ejpam-2456	138	16	‖n∈n	‖n∈n	PROPN
ejpam-2456	138	17	.	.	PUNCT
ejpam-2456	139	1	theorem	theorem	NOUN
ejpam-2456	139	2	2	2	NUM
ejpam-2456	139	3	.	.	X
ejpam-2456	139	4	assume	assume	VERB
ejpam-2456	139	5	that	that	SCONJ
ejpam-2456	139	6	(	(	PUNCT
ejpam-2456	139	7	hφ	hφ	PROPN
ejpam-2456	139	8	)	)	PUNCT
ejpam-2456	139	9	and	and	CCONJ
ejpam-2456	139	10	(	(	PUNCT
ejpam-2456	139	11	h0)-(h4	h0)-(h4	PROPN
ejpam-2456	139	12	)	)	PUNCT
ejpam-2456	139	13	hold	hold	VERB
ejpam-2456	139	14	and	and	CCONJ
ejpam-2456	139	15	moreover	moreover	ADV
ejpam-2456	139	16	for	for	ADP
ejpam-2456	139	17	each	each	DET
ejpam-2456	139	18	n	n	PRON
ejpam-2456	139	19	∈	∈	PROPN
ejpam-2456	139	20	n	n	CCONJ
ejpam-2456	139	21	,	,	PUNCT
ejpam-2456	139	22	there	there	PRON
ejpam-2456	139	23	exists	exist	VERB
ejpam-2456	139	24	a	a	DET
ejpam-2456	139	25	constant	constant	ADJ
ejpam-2456	139	26	m	m	NOUN
ejpam-2456	139	27	n	n	NUM
ejpam-2456	139	28	?	?	PUNCT
ejpam-2456	140	1	>	>	X
ejpam-2456	140	2	0	0	PUNCT
ejpam-2456	141	1	such	such	ADJ
ejpam-2456	141	2	that	that	SCONJ
ejpam-2456	141	3	m	m	VERB
ejpam-2456	141	4	n	n	ADJ
ejpam-2456	141	5	?	?	PUNCT
ejpam-2456	142	1	αn	αn	INTJ
ejpam-2456	143	1	+	+	CCONJ
ejpam-2456	143	2	knòm(òm	knòm(òm	VERB
ejpam-2456	143	3	em	em	PRON
ejpam-2456	143	4	em1n+	em1n+	PROPN
ejpam-2456	143	5	1)ψ(m	1)ψ(m	NUM
ejpam-2456	143	6	n	n	NUM
ejpam-2456	143	7	?	?	PUNCT
ejpam-2456	143	8	)	)	PUNCT
ejpam-2456	144	1	‖p‖l1	‖p‖l1	VERB
ejpam-2456	144	2	>	>	X
ejpam-2456	145	1	1	1	NUM
ejpam-2456	145	2	,	,	PUNCT
ejpam-2456	145	3	(	(	PUNCT
ejpam-2456	145	4	4	4	NUM
ejpam-2456	145	5	)	)	PUNCT
ejpam-2456	145	6	with	with	ADP
ejpam-2456	145	7	αn	αn	NOUN
ejpam-2456	145	8	=	=	SYM
ejpam-2456	145	9	knòm	knòm	VERB
ejpam-2456	145	10	em	em	PRON
ejpam-2456	146	1	em1n|y∗|	em1n|y∗|	PROPN
ejpam-2456	146	2	+	+	CCONJ
ejpam-2456	146	3	�	�	PROPN
ejpam-2456	146	4	mn	mn	PROPN
ejpam-2456	146	5	+	+	CCONJ
ejpam-2456	146	6	lφ	lφ	PROPN
ejpam-2456	146	7	+	+	NUM
ejpam-2456	146	8	knòmh	knòmh	NOUN
ejpam-2456	146	9	�	�	PROPN
ejpam-2456	146	10	òm	òm	ADP
ejpam-2456	146	11	em	em	PRON
ejpam-2456	146	12	em1n+	em1n+	PROPN
ejpam-2456	146	13	1	1	NUM
ejpam-2456	146	14	�	�	NOUN
ejpam-2456	146	15	�	�	PROPN
ejpam-2456	146	16	‖φ‖b	‖φ‖b	NOUN
ejpam-2456	146	17	.	.	PUNCT
ejpam-2456	147	1	then	then	ADV
ejpam-2456	147	2	the	the	DET
ejpam-2456	147	3	evolution	evolution	NOUN
ejpam-2456	147	4	problem	problem	NOUN
ejpam-2456	147	5	(	(	PUNCT
ejpam-2456	147	6	1	1	X
ejpam-2456	147	7	)	)	PUNCT
ejpam-2456	147	8	is	be	AUX
ejpam-2456	147	9	controllable	controllable	ADJ
ejpam-2456	147	10	on	on	ADP
ejpam-2456	147	11	r.	r.	NOUN
ejpam-2456	147	12	proof	proof	NOUN
ejpam-2456	147	13	.	.	PUNCT
ejpam-2456	148	1	we	we	PRON
ejpam-2456	148	2	transform	transform	VERB
ejpam-2456	148	3	the	the	DET
ejpam-2456	148	4	problem	problem	NOUN
ejpam-2456	148	5	(	(	PUNCT
ejpam-2456	148	6	1	1	NUM
ejpam-2456	148	7	)	)	PUNCT
ejpam-2456	148	8	into	into	ADP
ejpam-2456	148	9	a	a	DET
ejpam-2456	148	10	fixed	fix	VERB
ejpam-2456	148	11	-	-	PUNCT
ejpam-2456	148	12	point	point	NOUN
ejpam-2456	148	13	problem	problem	NOUN
ejpam-2456	148	14	.	.	PUNCT
ejpam-2456	149	1	consider	consider	VERB
ejpam-2456	149	2	the	the	DET
ejpam-2456	149	3	operator	operator	NOUN
ejpam-2456	149	4	n	n	NOUN
ejpam-2456	149	5	:	:	PUNCT
ejpam-2456	149	6	b+∞→	b+∞→	PROPN
ejpam-2456	149	7	b+∞	b+∞	PROPN
ejpam-2456	149	8	defined	define	VERB
ejpam-2456	149	9	by	by	ADP
ejpam-2456	149	10	:	:	PUNCT
ejpam-2456	149	11	n(y)(t	n(y)(t	NUM
ejpam-2456	149	12	)	)	PUNCT
ejpam-2456	149	13	=	=	SYM
ejpam-2456	149	14	¨	¨	X
ejpam-2456	149	15	φ(t	φ(t	PROPN
ejpam-2456	149	16	)	)	PUNCT
ejpam-2456	149	17	if	if	SCONJ
ejpam-2456	149	18	t	t	PRON
ejpam-2456	149	19	≤	≤	NUM
ejpam-2456	149	20	0	0	NUM
ejpam-2456	149	21	;	;	PUNCT
ejpam-2456	149	22	u(t	u(t	NOUN
ejpam-2456	149	23	,	,	PUNCT
ejpam-2456	149	24	0)φ(0	0)φ(0	NOUN
ejpam-2456	149	25	)	)	PUNCT
ejpam-2456	150	1	+	+	CCONJ
ejpam-2456	150	2	∫	∫	PROPN
ejpam-2456	150	3	t	t	NOUN
ejpam-2456	150	4	0	0	NUM
ejpam-2456	150	5	u(t	u(t	PROPN
ejpam-2456	150	6	,	,	PUNCT
ejpam-2456	150	7	s	s	PART
ejpam-2456	150	8	)	)	PUNCT
ejpam-2456	150	9	c	c	VERB
ejpam-2456	151	1	uy(s)ds+	uy(s)ds+	PROPN
ejpam-2456	151	2	∫	∫	PROPN
ejpam-2456	151	3	t	t	NOUN
ejpam-2456	151	4	0	0	NUM
ejpam-2456	151	5	u(t	u(t	PROPN
ejpam-2456	151	6	,	,	PUNCT
ejpam-2456	151	7	s	s	NOUN
ejpam-2456	151	8	)	)	PUNCT
ejpam-2456	151	9	f	f	NOUN
ejpam-2456	151	10	(	(	PUNCT
ejpam-2456	151	11	s	s	PROPN
ejpam-2456	151	12	,	,	PUNCT
ejpam-2456	151	13	yρ(s	yρ(s	PROPN
ejpam-2456	151	14	,	,	PUNCT
ejpam-2456	151	15	ys))ds	ys))ds	PROPN
ejpam-2456	151	16	if	if	SCONJ
ejpam-2456	151	17	t	t	PROPN
ejpam-2456	151	18	∈	∈	PROPN
ejpam-2456	151	19	j	j	PROPN
ejpam-2456	151	20	.	.	PUNCT
ejpam-2456	152	1	clearly	clearly	ADV
ejpam-2456	152	2	,	,	PUNCT
ejpam-2456	152	3	fixed	fix	VERB
ejpam-2456	152	4	points	point	NOUN
ejpam-2456	152	5	of	of	ADP
ejpam-2456	152	6	the	the	DET
ejpam-2456	152	7	operator	operator	NOUN
ejpam-2456	152	8	n	n	PRON
ejpam-2456	152	9	are	be	AUX
ejpam-2456	152	10	mild	mild	ADJ
ejpam-2456	152	11	solutions	solution	NOUN
ejpam-2456	152	12	of	of	ADP
ejpam-2456	152	13	the	the	DET
ejpam-2456	152	14	problem	problem	NOUN
ejpam-2456	152	15	(	(	PUNCT
ejpam-2456	152	16	1	1	NUM
ejpam-2456	152	17	)	)	PUNCT
ejpam-2456	152	18	.	.	PUNCT
ejpam-2456	153	1	using	use	VERB
ejpam-2456	153	2	assumption	assumption	NOUN
ejpam-2456	153	3	(	(	PUNCT
ejpam-2456	153	4	h4	h4	PROPN
ejpam-2456	153	5	)	)	PUNCT
ejpam-2456	153	6	,	,	PUNCT
ejpam-2456	153	7	for	for	ADP
ejpam-2456	153	8	arbitrary	arbitrary	ADJ
ejpam-2456	153	9	function	function	NOUN
ejpam-2456	153	10	y	y	PROPN
ejpam-2456	153	11	(	(	PUNCT
ejpam-2456	153	12	·	·	PUNCT
ejpam-2456	153	13	)	)	PUNCT
ejpam-2456	153	14	,	,	PUNCT
ejpam-2456	153	15	we	we	PRON
ejpam-2456	153	16	define	define	VERB
ejpam-2456	153	17	the	the	DET
ejpam-2456	153	18	control	control	NOUN
ejpam-2456	153	19	uy(t	uy(t	PUNCT
ejpam-2456	153	20	)	)	PUNCT
ejpam-2456	153	21	=	=	PUNCT
ejpam-2456	153	22	w̃−1	w̃−1	PROPN
ejpam-2456	153	23	�	�	PROPN
ejpam-2456	153	24	y∗	y∗	ADV
ejpam-2456	153	25	−	−	PROPN
ejpam-2456	153	26	u(n	u(n	PROPN
ejpam-2456	153	27	,	,	PUNCT
ejpam-2456	153	28	0	0	NUM
ejpam-2456	153	29	)	)	PUNCT
ejpam-2456	153	30	φ(0)−	φ(0)−	PROPN
ejpam-2456	153	31	∫	∫	PROPN
ejpam-2456	153	32	n	n	CCONJ
ejpam-2456	153	33	0	0	NUM
ejpam-2456	153	34	u(n	u(n	PROPN
ejpam-2456	153	35	,	,	PUNCT
ejpam-2456	153	36	τ	τ	PROPN
ejpam-2456	153	37	)	)	PUNCT
ejpam-2456	153	38	f	f	PROPN
ejpam-2456	153	39	(	(	PUNCT
ejpam-2456	153	40	τ	τ	PROPN
ejpam-2456	153	41	,	,	PUNCT
ejpam-2456	153	42	yρ(τ	yρ(τ	PROPN
ejpam-2456	153	43	,	,	PUNCT
ejpam-2456	153	44	yτ	yτ	PROPN
ejpam-2456	153	45	)	)	PUNCT
ejpam-2456	153	46	)	)	PUNCT
ejpam-2456	153	47	dτ	dτ	PROPN
ejpam-2456	153	48	�	�	PROPN
ejpam-2456	153	49	(	(	PUNCT
ejpam-2456	153	50	t	t	PROPN
ejpam-2456	153	51	)	)	PUNCT
ejpam-2456	153	52	.	.	PUNCT
ejpam-2456	154	1	d.	d.	PROPN
ejpam-2456	154	2	aoued	aoued	PROPN
ejpam-2456	154	3	,	,	PUNCT
ejpam-2456	154	4	s.	s.	PROPN
ejpam-2456	154	5	baghli	baghli	PROPN
ejpam-2456	154	6	-	-	PUNCT
ejpam-2456	154	7	bendimerad	bendimerad	PROPN
ejpam-2456	154	8	/	/	SYM
ejpam-2456	154	9	eur	eur	PROPN
ejpam-2456	154	10	.	.	PUNCT
ejpam-2456	155	1	j.	j.	PROPN
ejpam-2456	155	2	pure	pure	PROPN
ejpam-2456	155	3	appl	appl	PROPN
ejpam-2456	155	4	.	.	PROPN
ejpam-2456	155	5	math	math	PROPN
ejpam-2456	155	6	,	,	PUNCT
ejpam-2456	155	7	9	9	NUM
ejpam-2456	155	8	(	(	PUNCT
ejpam-2456	155	9	2016	2016	NUM
ejpam-2456	155	10	)	)	PUNCT
ejpam-2456	155	11	,	,	PUNCT
ejpam-2456	155	12	383	383	NUM
ejpam-2456	155	13	-	-	SYM
ejpam-2456	155	14	401	401	NUM
ejpam-2456	155	15	389	389	NUM
ejpam-2456	155	16	applying	apply	VERB
ejpam-2456	155	17	(	(	PUNCT
ejpam-2456	155	18	h2	h2	NOUN
ejpam-2456	155	19	)	)	PUNCT
ejpam-2456	155	20	,	,	PUNCT
ejpam-2456	155	21	we	we	PRON
ejpam-2456	155	22	get	get	VERB
ejpam-2456	155	23	|uy(t)|	|uy(t)|	ADJ
ejpam-2456	155	24	≤	≤	NUM
ejpam-2456	155	25	em1	em1	PROPN
ejpam-2456	155	26	�	�	PROPN
ejpam-2456	155	27	|y∗|+	|y∗|+	NOUN
ejpam-2456	155	28	òmh‖φ‖b	òmh‖φ‖b	ADJ
ejpam-2456	155	29	+	+	CCONJ
ejpam-2456	156	1	òm	òm	INTJ
ejpam-2456	156	2	∫	∫	PROPN
ejpam-2456	156	3	n	n	CCONJ
ejpam-2456	156	4	0	0	NUM
ejpam-2456	156	5	p(τ	p(τ	ADJ
ejpam-2456	156	6	)	)	PUNCT
ejpam-2456	156	7	ψ(‖yρ(τ	ψ(‖yρ(τ	NOUN
ejpam-2456	156	8	,	,	PUNCT
ejpam-2456	156	9	yτ)‖b)dτ	yτ)‖b)dτ	PROPN
ejpam-2456	156	10	�	�	PROPN
ejpam-2456	156	11	.	.	PUNCT
ejpam-2456	157	1	(	(	PUNCT
ejpam-2456	157	2	5	5	X
ejpam-2456	157	3	)	)	PUNCT
ejpam-2456	157	4	we	we	PRON
ejpam-2456	157	5	shall	shall	AUX
ejpam-2456	157	6	show	show	VERB
ejpam-2456	157	7	that	that	SCONJ
ejpam-2456	157	8	using	use	VERB
ejpam-2456	157	9	this	this	DET
ejpam-2456	157	10	control	control	NOUN
ejpam-2456	157	11	the	the	DET
ejpam-2456	157	12	operator	operator	NOUN
ejpam-2456	157	13	n	n	PRON
ejpam-2456	157	14	has	have	VERB
ejpam-2456	157	15	a	a	DET
ejpam-2456	157	16	fixed	fix	VERB
ejpam-2456	157	17	point	point	NOUN
ejpam-2456	157	18	y	y	PROPN
ejpam-2456	157	19	(	(	PUNCT
ejpam-2456	157	20	·	·	PUNCT
ejpam-2456	157	21	)	)	PUNCT
ejpam-2456	157	22	.	.	PUNCT
ejpam-2456	158	1	then	then	ADV
ejpam-2456	158	2	y	y	PROPN
ejpam-2456	158	3	(	(	PUNCT
ejpam-2456	158	4	·	·	PUNCT
ejpam-2456	158	5	)	)	PUNCT
ejpam-2456	158	6	is	be	AUX
ejpam-2456	158	7	a	a	DET
ejpam-2456	158	8	mild	mild	ADJ
ejpam-2456	158	9	solution	solution	NOUN
ejpam-2456	158	10	of	of	ADP
ejpam-2456	158	11	the	the	DET
ejpam-2456	158	12	evolution	evolution	NOUN
ejpam-2456	158	13	system	system	NOUN
ejpam-2456	158	14	(	(	PUNCT
ejpam-2456	158	15	1	1	NUM
ejpam-2456	158	16	)	)	PUNCT
ejpam-2456	158	17	.	.	PUNCT
ejpam-2456	159	1	for	for	ADP
ejpam-2456	159	2	φ	φ	PROPN
ejpam-2456	159	3	∈	∈	PROPN
ejpam-2456	159	4	b	b	PROPN
ejpam-2456	159	5	,	,	PUNCT
ejpam-2456	159	6	we	we	PRON
ejpam-2456	159	7	will	will	AUX
ejpam-2456	159	8	define	define	VERB
ejpam-2456	159	9	the	the	DET
ejpam-2456	159	10	function	function	NOUN
ejpam-2456	159	11	x	x	X
ejpam-2456	159	12	(	(	PUNCT
ejpam-2456	159	13	·	·	PUNCT
ejpam-2456	159	14	)	)	PUNCT
ejpam-2456	159	15	:	:	PUNCT
ejpam-2456	160	1	r	r	NOUN
ejpam-2456	160	2	→	→	SYM
ejpam-2456	160	3	e	e	NOUN
ejpam-2456	160	4	by	by	ADP
ejpam-2456	160	5	x(t	x(t	PROPN
ejpam-2456	160	6	)	)	PUNCT
ejpam-2456	160	7	=	=	SYM
ejpam-2456	160	8	φ(t	φ(t	PROPN
ejpam-2456	160	9	)	)	PUNCT
ejpam-2456	160	10	for	for	ADP
ejpam-2456	160	11	t	t	NOUN
ejpam-2456	160	12	≤	≤	NUM
ejpam-2456	160	13	0	0	NUM
ejpam-2456	160	14	and	and	CCONJ
ejpam-2456	160	15	x(t	x(t	PROPN
ejpam-2456	160	16	)	)	PUNCT
ejpam-2456	160	17	=	=	SYM
ejpam-2456	160	18	u(t	u(t	NOUN
ejpam-2456	160	19	,	,	PUNCT
ejpam-2456	160	20	0)φ(0	0)φ(0	NOUN
ejpam-2456	160	21	)	)	PUNCT
ejpam-2456	160	22	for	for	ADP
ejpam-2456	160	23	t	t	PROPN
ejpam-2456	160	24	∈	∈	PROPN
ejpam-2456	160	25	j	j	PROPN
ejpam-2456	160	26	.	.	PUNCT
ejpam-2456	161	1	then	then	ADV
ejpam-2456	161	2	x0	x0	PROPN
ejpam-2456	161	3	=	=	SYM
ejpam-2456	161	4	φ	φ	PROPN
ejpam-2456	161	5	.	.	PUNCT
ejpam-2456	162	1	for	for	ADP
ejpam-2456	162	2	each	each	DET
ejpam-2456	162	3	function	function	NOUN
ejpam-2456	162	4	z	z	PROPN
ejpam-2456	162	5	∈	∈	PROPN
ejpam-2456	162	6	b+∞	b+∞	PROPN
ejpam-2456	162	7	with	with	ADP
ejpam-2456	162	8	z(0	z(0	ADV
ejpam-2456	162	9	)	)	PUNCT
ejpam-2456	162	10	=	=	SYM
ejpam-2456	162	11	0	0	NUM
ejpam-2456	162	12	,	,	PUNCT
ejpam-2456	162	13	we	we	PRON
ejpam-2456	162	14	denote	denote	VERB
ejpam-2456	162	15	by	by	ADP
ejpam-2456	162	16	z	z	PROPN
ejpam-2456	162	17	the	the	DET
ejpam-2456	162	18	function	function	NOUN
ejpam-2456	162	19	defined	define	VERB
ejpam-2456	162	20	by	by	ADP
ejpam-2456	162	21	z(t	z(t	NOUN
ejpam-2456	162	22	)	)	PUNCT
ejpam-2456	162	23	=	=	SYM
ejpam-2456	162	24	0	0	NUM
ejpam-2456	163	1	for	for	ADP
ejpam-2456	163	2	t	t	NOUN
ejpam-2456	163	3	≤	≤	NOUN
ejpam-2456	163	4	0	0	NUM
ejpam-2456	163	5	and	and	CCONJ
ejpam-2456	163	6	z(t	z(t	NOUN
ejpam-2456	163	7	)	)	PUNCT
ejpam-2456	163	8	=	=	SYM
ejpam-2456	163	9	z(t	z(t	NOUN
ejpam-2456	163	10	)	)	PUNCT
ejpam-2456	163	11	for	for	ADP
ejpam-2456	163	12	t	t	PROPN
ejpam-2456	163	13	∈	∈	PROPN
ejpam-2456	163	14	j	j	PROPN
ejpam-2456	163	15	.	.	PUNCT
ejpam-2456	164	1	if	if	SCONJ
ejpam-2456	164	2	y	y	PROPN
ejpam-2456	164	3	(	(	PUNCT
ejpam-2456	164	4	·	·	PUNCT
ejpam-2456	164	5	)	)	PUNCT
ejpam-2456	164	6	satisfies	satisfie	NOUN
ejpam-2456	164	7	(	(	PUNCT
ejpam-2456	164	8	3	3	NUM
ejpam-2456	164	9	)	)	PUNCT
ejpam-2456	164	10	,	,	PUNCT
ejpam-2456	164	11	we	we	PRON
ejpam-2456	164	12	can	can	AUX
ejpam-2456	164	13	decompose	decompose	VERB
ejpam-2456	164	14	it	it	PRON
ejpam-2456	164	15	as	as	ADP
ejpam-2456	164	16	y(t	y(t	PROPN
ejpam-2456	164	17	)	)	PUNCT
ejpam-2456	164	18	=	=	PUNCT
ejpam-2456	164	19	z(t	z(t	NOUN
ejpam-2456	164	20	)	)	PUNCT
ejpam-2456	164	21	+	+	CCONJ
ejpam-2456	165	1	x(t	x(t	PROPN
ejpam-2456	165	2	)	)	PUNCT
ejpam-2456	165	3	,	,	PUNCT
ejpam-2456	165	4	t	t	PROPN
ejpam-2456	165	5	≥	≥	NUM
ejpam-2456	165	6	0	0	NUM
ejpam-2456	165	7	,	,	PUNCT
ejpam-2456	165	8	which	which	PRON
ejpam-2456	165	9	implies	imply	VERB
ejpam-2456	165	10	yt	yt	X
ejpam-2456	165	11	=	=	PUNCT
ejpam-2456	165	12	zt	zt	PROPN
ejpam-2456	165	13	+	+	CCONJ
ejpam-2456	165	14	x	x	PROPN
ejpam-2456	165	15	t	t	NOUN
ejpam-2456	165	16	,	,	PUNCT
ejpam-2456	165	17	for	for	ADP
ejpam-2456	165	18	every	every	DET
ejpam-2456	165	19	t	t	PROPN
ejpam-2456	165	20	∈	∈	PROPN
ejpam-2456	165	21	j	j	PROPN
ejpam-2456	165	22	and	and	CCONJ
ejpam-2456	165	23	the	the	DET
ejpam-2456	165	24	function	function	NOUN
ejpam-2456	165	25	z	z	PROPN
ejpam-2456	165	26	(	(	PUNCT
ejpam-2456	165	27	·	·	PUNCT
ejpam-2456	165	28	)	)	PUNCT
ejpam-2456	165	29	satisfies	satisfie	NOUN
ejpam-2456	165	30	for	for	ADP
ejpam-2456	165	31	t	t	PROPN
ejpam-2456	165	32	∈	∈	PROPN
ejpam-2456	165	33	j	j	PROPN
ejpam-2456	165	34	z(t	z(t	PROPN
ejpam-2456	165	35	)	)	PUNCT
ejpam-2456	165	36	=	=	SYM
ejpam-2456	166	1	∫	∫	PROPN
ejpam-2456	166	2	t	t	NOUN
ejpam-2456	166	3	0	0	NUM
ejpam-2456	167	1	u(t	u(t	PROPN
ejpam-2456	167	2	,	,	PUNCT
ejpam-2456	167	3	s	s	NOUN
ejpam-2456	167	4	)	)	PUNCT
ejpam-2456	167	5	c	c	VERB
ejpam-2456	167	6	uz+x(s)ds+	uz+x(s)ds+	PRON
ejpam-2456	168	1	∫	∫	PROPN
ejpam-2456	168	2	t	t	NOUN
ejpam-2456	168	3	0	0	NUM
ejpam-2456	168	4	u(t	u(t	PROPN
ejpam-2456	168	5	,	,	PUNCT
ejpam-2456	168	6	s	s	NOUN
ejpam-2456	168	7	)	)	PUNCT
ejpam-2456	168	8	f	f	NOUN
ejpam-2456	168	9	(	(	PUNCT
ejpam-2456	168	10	s	s	PROPN
ejpam-2456	168	11	,	,	PUNCT
ejpam-2456	168	12	zρ(s	zρ(s	NUM
ejpam-2456	168	13	,	,	PUNCT
ejpam-2456	168	14	zs+xs	zs+x	NOUN
ejpam-2456	168	15	)	)	PUNCT
ejpam-2456	169	1	+	+	CCONJ
ejpam-2456	169	2	xρ(s	xρ(s	NUM
ejpam-2456	169	3	,	,	PUNCT
ejpam-2456	169	4	zs+xs))ds	zs+xs))ds	X
ejpam-2456	169	5	.	.	PUNCT
ejpam-2456	170	1	let	let	VERB
ejpam-2456	170	2	b0	b0	VERB
ejpam-2456	170	3	+	+	NOUN
ejpam-2456	170	4	∞	∞	PROPN
ejpam-2456	170	5	=	=	SYM
ejpam-2456	170	6	�	�	PROPN
ejpam-2456	170	7	z	z	PROPN
ejpam-2456	170	8	∈	∈	PROPN
ejpam-2456	171	1	b+∞	b+∞	PROPN
ejpam-2456	171	2	:	:	PUNCT
ejpam-2456	171	3	z0	z0	PROPN
ejpam-2456	171	4	=	=	SYM
ejpam-2456	171	5	0	0	NUM
ejpam-2456	171	6	∈b	∈b	PROPN
ejpam-2456	171	7	.	.	PUNCT
ejpam-2456	172	1	for	for	ADP
ejpam-2456	172	2	any	any	DET
ejpam-2456	172	3	z	z	PROPN
ejpam-2456	172	4	∈	∈	PROPN
ejpam-2456	172	5	b0	b0	NOUN
ejpam-2456	172	6	+	+	NOUN
ejpam-2456	172	7	∞	∞	PROPN
ejpam-2456	172	8	we	we	PRON
ejpam-2456	172	9	have	have	VERB
ejpam-2456	172	10	‖z‖+∞	‖z‖+∞	NOUN
ejpam-2456	173	1	=	=	PUNCT
ejpam-2456	173	2	sups≥0	sups≥0	PROPN
ejpam-2456	173	3	|z(s)|	|z(s)|	PRON
ejpam-2456	173	4	.	.	PUNCT
ejpam-2456	174	1	thus	thus	ADV
ejpam-2456	174	2	(	(	PUNCT
ejpam-2456	174	3	b0	b0	VERB
ejpam-2456	174	4	+	+	NOUN
ejpam-2456	174	5	∞,‖	∞,‖	NOUN
ejpam-2456	174	6	·	·	SYM
ejpam-2456	174	7	‖+∞	‖+∞	NOUN
ejpam-2456	174	8	)	)	PUNCT
ejpam-2456	174	9	is	be	AUX
ejpam-2456	174	10	a	a	DET
ejpam-2456	174	11	banach	banach	NOUN
ejpam-2456	174	12	space	space	NOUN
ejpam-2456	174	13	.	.	PUNCT
ejpam-2456	175	1	we	we	PRON
ejpam-2456	175	2	define	define	VERB
ejpam-2456	175	3	the	the	DET
ejpam-2456	175	4	operators	operator	NOUN
ejpam-2456	175	5	f	f	X
ejpam-2456	175	6	,	,	PUNCT
ejpam-2456	175	7	g	g	NOUN
ejpam-2456	175	8	:	:	PUNCT
ejpam-2456	175	9	b0	b0	VERB
ejpam-2456	175	10	+	+	PROPN
ejpam-2456	175	11	∞	∞	PROPN
ejpam-2456	175	12	→	→	SYM
ejpam-2456	175	13	b0	b0	NOUN
ejpam-2456	175	14	+	+	NOUN
ejpam-2456	175	15	∞	∞	NUM
ejpam-2456	175	16	by	by	ADP
ejpam-2456	175	17	f(z)(t	f(z)(t	NOUN
ejpam-2456	175	18	)	)	PUNCT
ejpam-2456	175	19	=	=	SYM
ejpam-2456	175	20	∫	∫	PROPN
ejpam-2456	175	21	t	t	NOUN
ejpam-2456	175	22	0	0	NUM
ejpam-2456	175	23	u(t	u(t	PROPN
ejpam-2456	175	24	,	,	PUNCT
ejpam-2456	175	25	s	s	X
ejpam-2456	175	26	)	)	PUNCT
ejpam-2456	175	27	c	c	PROPN
ejpam-2456	175	28	uz+x(s)ds	uz+x(s)ds	PROPN
ejpam-2456	175	29	and	and	CCONJ
ejpam-2456	175	30	g(z)(t	g(z)(t	NUM
ejpam-2456	175	31	)	)	PUNCT
ejpam-2456	176	1	=	=	SYM
ejpam-2456	176	2	∫	∫	PROPN
ejpam-2456	176	3	t	t	NOUN
ejpam-2456	176	4	0	0	NUM
ejpam-2456	176	5	u(t	u(t	PROPN
ejpam-2456	176	6	,	,	PUNCT
ejpam-2456	176	7	s	s	NOUN
ejpam-2456	176	8	)	)	PUNCT
ejpam-2456	176	9	f	f	NOUN
ejpam-2456	176	10	(	(	PUNCT
ejpam-2456	176	11	s	s	PROPN
ejpam-2456	176	12	,	,	PUNCT
ejpam-2456	176	13	zρ(s	zρ(s	NUM
ejpam-2456	176	14	,	,	PUNCT
ejpam-2456	176	15	zs+xs	zs+x	NOUN
ejpam-2456	176	16	)	)	PUNCT
ejpam-2456	176	17	+	+	CCONJ
ejpam-2456	176	18	xρ(s	xρ(s	NUM
ejpam-2456	176	19	,	,	PUNCT
ejpam-2456	176	20	zs+xs))ds	zs+xs))ds	NUM
ejpam-2456	176	21	.	.	PUNCT
ejpam-2456	177	1	obviously	obviously	ADV
ejpam-2456	177	2	the	the	DET
ejpam-2456	177	3	operator	operator	NOUN
ejpam-2456	177	4	n	n	PRON
ejpam-2456	177	5	has	have	AUX
ejpam-2456	177	6	a	a	DET
ejpam-2456	177	7	fixed	fix	VERB
ejpam-2456	177	8	point	point	NOUN
ejpam-2456	177	9	is	be	AUX
ejpam-2456	177	10	equivalent	equivalent	ADJ
ejpam-2456	177	11	to	to	ADP
ejpam-2456	177	12	f	f	PROPN
ejpam-2456	177	13	+	+	CCONJ
ejpam-2456	177	14	g	g	PROPN
ejpam-2456	177	15	has	have	VERB
ejpam-2456	177	16	one	one	NUM
ejpam-2456	177	17	,	,	PUNCT
ejpam-2456	177	18	so	so	SCONJ
ejpam-2456	177	19	it	it	PRON
ejpam-2456	177	20	turns	turn	VERB
ejpam-2456	177	21	to	to	PART
ejpam-2456	177	22	prove	prove	VERB
ejpam-2456	177	23	that	that	SCONJ
ejpam-2456	177	24	f	f	PROPN
ejpam-2456	177	25	+	+	NOUN
ejpam-2456	177	26	g	g	PROPN
ejpam-2456	177	27	has	have	VERB
ejpam-2456	177	28	a	a	DET
ejpam-2456	177	29	fixed	fix	VERB
ejpam-2456	177	30	point	point	NOUN
ejpam-2456	177	31	.	.	PUNCT
ejpam-2456	178	1	the	the	DET
ejpam-2456	178	2	proof	proof	NOUN
ejpam-2456	178	3	will	will	AUX
ejpam-2456	178	4	be	be	AUX
ejpam-2456	178	5	given	give	VERB
ejpam-2456	178	6	in	in	ADP
ejpam-2456	178	7	several	several	ADJ
ejpam-2456	178	8	steps	step	NOUN
ejpam-2456	178	9	.	.	PUNCT
ejpam-2456	179	1	first	first	ADV
ejpam-2456	179	2	we	we	PRON
ejpam-2456	179	3	show	show	VERB
ejpam-2456	179	4	that	that	SCONJ
ejpam-2456	179	5	f	f	PROPN
ejpam-2456	179	6	is	be	AUX
ejpam-2456	179	7	continuous	continuous	ADJ
ejpam-2456	179	8	and	and	CCONJ
ejpam-2456	179	9	compact	compact	ADJ
ejpam-2456	179	10	.	.	PUNCT
ejpam-2456	180	1	step	step	NOUN
ejpam-2456	180	2	1	1	NUM
ejpam-2456	180	3	:	:	PUNCT
ejpam-2456	180	4	f	f	PROPN
ejpam-2456	180	5	is	be	AUX
ejpam-2456	180	6	continuous	continuous	ADJ
ejpam-2456	180	7	.	.	PUNCT
ejpam-2456	181	1	let	let	VERB
ejpam-2456	181	2	(	(	PUNCT
ejpam-2456	181	3	zn)n∈n	zn)n∈n	NUM
ejpam-2456	181	4	be	be	AUX
ejpam-2456	181	5	a	a	DET
ejpam-2456	181	6	sequence	sequence	NOUN
ejpam-2456	181	7	in	in	ADP
ejpam-2456	181	8	b0	b0	NOUN
ejpam-2456	181	9	+	+	NOUN
ejpam-2456	181	10	∞	∞	PROPN
ejpam-2456	181	11	such	such	ADJ
ejpam-2456	181	12	that	that	SCONJ
ejpam-2456	181	13	zn	zn	PROPN
ejpam-2456	181	14	→	→	SYM
ejpam-2456	181	15	z	z	NOUN
ejpam-2456	181	16	in	in	ADP
ejpam-2456	181	17	b0	b0	NOUN
ejpam-2456	181	18	+	+	ADP
ejpam-2456	181	19	∞.	∞.	PROPN
ejpam-2456	181	20	by	by	ADP
ejpam-2456	181	21	(	(	PUNCT
ejpam-2456	181	22	h1	h1	PROPN
ejpam-2456	181	23	)	)	PUNCT
ejpam-2456	181	24	,	,	PUNCT
ejpam-2456	181	25	(	(	PUNCT
ejpam-2456	181	26	h4	h4	PROPN
ejpam-2456	181	27	)	)	PUNCT
ejpam-2456	181	28	and	and	CCONJ
ejpam-2456	181	29	(	(	PUNCT
ejpam-2456	181	30	5	5	NUM
ejpam-2456	181	31	)	)	PUNCT
ejpam-2456	181	32	,	,	PUNCT
ejpam-2456	181	33	we	we	PRON
ejpam-2456	181	34	get	get	VERB
ejpam-2456	181	35	for	for	ADP
ejpam-2456	181	36	every	every	DET
ejpam-2456	181	37	t	t	NOUN
ejpam-2456	181	38	∈	∈	PROPN
ejpam-2456	182	1	[	[	X
ejpam-2456	182	2	0	0	NUM
ejpam-2456	182	3	,	,	PUNCT
ejpam-2456	182	4	n	n	CCONJ
ejpam-2456	182	5	]	]	X
ejpam-2456	182	6	|f(zn)(t)−	|f(zn)(t)−	PROPN
ejpam-2456	182	7	f(z)(t)|	f(z)(t)|	VERB
ejpam-2456	182	8	≤òm	≤òm	VERB
ejpam-2456	182	9	em	em	PRON
ejpam-2456	182	10	∫	∫	PROPN
ejpam-2456	182	11	t	t	PROPN
ejpam-2456	182	12	0	0	NUM
ejpam-2456	182	13	|uzn+x(s)−	|uzn+x(s)−	ADP
ejpam-2456	182	14	uz+x(s)|ds	uz+x(s)|ds	ADJ
ejpam-2456	182	15	≤òm2	≤òm2	PROPN
ejpam-2456	182	16	em	em	PRON
ejpam-2456	182	17	em1	em1	PROPN
ejpam-2456	183	1	∫	∫	PROPN
ejpam-2456	183	2	t	t	PROPN
ejpam-2456	183	3	0	0	NUM
ejpam-2456	183	4	∫	∫	PROPN
ejpam-2456	183	5	n	n	CCONJ
ejpam-2456	183	6	0	0	NUM
ejpam-2456	184	1	|	|	CCONJ
ejpam-2456	184	2	f	f	X
ejpam-2456	184	3	(	(	PUNCT
ejpam-2456	184	4	τ	τ	PROPN
ejpam-2456	184	5	,	,	PUNCT
ejpam-2456	184	6	znρ(τ	znρ(τ	PROPN
ejpam-2456	184	7	,	,	PUNCT
ejpam-2456	184	8	znτ+xτ	znτ+xτ	NOUN
ejpam-2456	184	9	)	)	PUNCT
ejpam-2456	184	10	+	+	NUM
ejpam-2456	184	11	xρ(τ	xρ(τ	NOUN
ejpam-2456	184	12	,	,	PUNCT
ejpam-2456	184	13	znτ+xτ	znτ+xτ	NOUN
ejpam-2456	184	14	)	)	PUNCT
ejpam-2456	184	15	)	)	PUNCT
ejpam-2456	185	1	−	−	PROPN
ejpam-2456	185	2	f	f	X
ejpam-2456	185	3	(	(	PUNCT
ejpam-2456	185	4	τ	τ	PROPN
ejpam-2456	185	5	,	,	PUNCT
ejpam-2456	185	6	zρ(τ	zρ(τ	PRON
ejpam-2456	185	7	,	,	PUNCT
ejpam-2456	185	8	zτ+xτ	zτ+xτ	NUM
ejpam-2456	185	9	)	)	PUNCT
ejpam-2456	185	10	+	+	NUM
ejpam-2456	185	11	xρ(τ	xρ(τ	NOUN
ejpam-2456	185	12	,	,	PUNCT
ejpam-2456	185	13	zτ+xτ))|dτds	zτ+xτ))|dτd	NOUN
ejpam-2456	185	14	≤òm2	≤òm2	PROPN
ejpam-2456	185	15	em	em	PRON
ejpam-2456	185	16	em1n	em1n	PROPN
ejpam-2456	185	17	∫	∫	PROPN
ejpam-2456	185	18	n	n	CCONJ
ejpam-2456	185	19	0	0	NUM
ejpam-2456	186	1	|	|	CCONJ
ejpam-2456	186	2	f	f	X
ejpam-2456	186	3	(	(	PUNCT
ejpam-2456	186	4	s	s	PROPN
ejpam-2456	186	5	,	,	PUNCT
ejpam-2456	186	6	znρ(s	znρ(s	PROPN
ejpam-2456	186	7	,	,	PUNCT
ejpam-2456	186	8	zns+xs	zns+xs	PROPN
ejpam-2456	186	9	)	)	PUNCT
ejpam-2456	187	1	+	+	CCONJ
ejpam-2456	187	2	xρ(s	xρ(s	ADP
ejpam-2456	187	3	,	,	PUNCT
ejpam-2456	187	4	zns+xs))−	zns+xs))−	PROPN
ejpam-2456	187	5	f	f	X
ejpam-2456	187	6	(	(	PUNCT
ejpam-2456	187	7	s	s	PROPN
ejpam-2456	187	8	,	,	PUNCT
ejpam-2456	187	9	zρ(s	zρ(s	NUM
ejpam-2456	187	10	,	,	PUNCT
ejpam-2456	187	11	zs+xs	zs+x	NOUN
ejpam-2456	187	12	)	)	PUNCT
ejpam-2456	188	1	+	+	CCONJ
ejpam-2456	188	2	xρ(s	xρ(s	NUM
ejpam-2456	188	3	,	,	PUNCT
ejpam-2456	188	4	zs+xs))|ds	zs+xs))|ds	X
ejpam-2456	188	5	.	.	PUNCT
ejpam-2456	189	1	since	since	SCONJ
ejpam-2456	189	2	f	f	PROPN
ejpam-2456	189	3	is	be	AUX
ejpam-2456	189	4	continuous	continuous	ADJ
ejpam-2456	189	5	,	,	PUNCT
ejpam-2456	189	6	we	we	PRON
ejpam-2456	189	7	obtain	obtain	VERB
ejpam-2456	189	8	by	by	ADP
ejpam-2456	189	9	the	the	DET
ejpam-2456	189	10	lebesgue	lebesgue	NOUN
ejpam-2456	189	11	dominated	dominate	VERB
ejpam-2456	189	12	convergence	convergence	NOUN
ejpam-2456	189	13	theorem	theorem	VERB
ejpam-2456	189	14	|f(zn)(t)−	|f(zn)(t)−	NOUN
ejpam-2456	189	15	f(z)(t)|	f(z)(t)|	PROPN
ejpam-2456	189	16	→	→	SYM
ejpam-2456	189	17	0	0	PUNCT
ejpam-2456	189	18	as	as	ADP
ejpam-2456	189	19	n→	n→	ADV
ejpam-2456	190	1	+	+	PROPN
ejpam-2456	190	2	∞.	∞.	PROPN
ejpam-2456	190	3	thus	thus	ADV
ejpam-2456	190	4	f	f	PROPN
ejpam-2456	190	5	is	be	AUX
ejpam-2456	190	6	continuous	continuous	ADJ
ejpam-2456	190	7	.	.	PUNCT
ejpam-2456	191	1	step	step	NOUN
ejpam-2456	191	2	2	2	NUM
ejpam-2456	191	3	:	:	PUNCT
ejpam-2456	191	4	f	f	PROPN
ejpam-2456	191	5	maps	map	NOUN
ejpam-2456	191	6	bounded	bound	VERB
ejpam-2456	191	7	sets	set	NOUN
ejpam-2456	191	8	of	of	ADP
ejpam-2456	191	9	b0	b0	NOUN
ejpam-2456	191	10	+	+	NOUN
ejpam-2456	191	11	∞	∞	PROPN
ejpam-2456	191	12	into	into	ADP
ejpam-2456	191	13	bounded	bounded	ADJ
ejpam-2456	191	14	sets	set	NOUN
ejpam-2456	191	15	.	.	PUNCT
ejpam-2456	192	1	for	for	ADP
ejpam-2456	192	2	any	any	DET
ejpam-2456	192	3	d	d	PROPN
ejpam-2456	192	4	>	>	X
ejpam-2456	192	5	0	0	PROPN
ejpam-2456	192	6	,	,	PUNCT
ejpam-2456	192	7	there	there	PRON
ejpam-2456	192	8	exists	exist	VERB
ejpam-2456	192	9	a	a	DET
ejpam-2456	192	10	positive	positive	ADJ
ejpam-2456	192	11	constant	constant	ADJ
ejpam-2456	192	12	`	`	PUNCT
ejpam-2456	192	13	such	such	ADJ
ejpam-2456	192	14	that	that	PRON
ejpam-2456	192	15	for	for	ADP
ejpam-2456	192	16	each	each	DET
ejpam-2456	192	17	z	z	NOUN
ejpam-2456	192	18	∈	∈	PROPN
ejpam-2456	192	19	bd	bd	PROPN
ejpam-2456	192	20	=	=	NOUN
ejpam-2456	192	21	{	{	PUNCT
ejpam-2456	192	22	z	z	NOUN
ejpam-2456	192	23	∈	∈	PROPN
ejpam-2456	192	24	b0	b0	NOUN
ejpam-2456	192	25	+	+	NOUN
ejpam-2456	192	26	∞	∞	PROPN
ejpam-2456	192	27	:	:	PUNCT
ejpam-2456	192	28	‖z‖n	‖z‖n	PROPN
ejpam-2456	192	29	≤	≤	NUM
ejpam-2456	193	1	d	d	ADP
ejpam-2456	193	2	}	}	PUNCT
ejpam-2456	193	3	one	one	NOUN
ejpam-2456	193	4	has	have	VERB
ejpam-2456	193	5	‖f(z)‖n	‖f(z)‖n	PROPN
ejpam-2456	193	6	≤	≤	NUM
ejpam-2456	193	7	`	`	PUNCT
ejpam-2456	193	8	.	.	PUNCT
ejpam-2456	194	1	let	let	VERB
ejpam-2456	194	2	z	z	NOUN
ejpam-2456	194	3	∈	∈	PROPN
ejpam-2456	194	4	bd	bd	PROPN
ejpam-2456	194	5	.	.	PUNCT
ejpam-2456	195	1	by	by	ADP
ejpam-2456	195	2	(	(	PUNCT
ejpam-2456	195	3	h1	h1	PROPN
ejpam-2456	195	4	)	)	PUNCT
ejpam-2456	195	5	,	,	PUNCT
ejpam-2456	195	6	(	(	PUNCT
ejpam-2456	195	7	h2	h2	NOUN
ejpam-2456	195	8	)	)	PUNCT
ejpam-2456	195	9	and	and	CCONJ
ejpam-2456	195	10	(	(	PUNCT
ejpam-2456	195	11	5	5	NUM
ejpam-2456	195	12	)	)	PUNCT
ejpam-2456	195	13	,	,	PUNCT
ejpam-2456	195	14	we	we	PRON
ejpam-2456	195	15	have	have	VERB
ejpam-2456	195	16	for	for	ADP
ejpam-2456	195	17	each	each	DET
ejpam-2456	195	18	t	t	NOUN
ejpam-2456	195	19	∈	∈	PROPN
ejpam-2456	196	1	[	[	X
ejpam-2456	196	2	0	0	NUM
ejpam-2456	196	3	,	,	PUNCT
ejpam-2456	196	4	n	n	CCONJ
ejpam-2456	196	5	]	]	PUNCT
ejpam-2456	196	6	|f(z)(t)|	|f(z)(t)|	NUM
ejpam-2456	196	7	≤òm	≤òm	NOUN
ejpam-2456	197	1	em	em	PRON
ejpam-2456	197	2	∫	∫	PROPN
ejpam-2456	197	3	t	t	PROPN
ejpam-2456	197	4	0	0	NUM
ejpam-2456	198	1	em1	em1	PROPN
ejpam-2456	198	2	�	�	PROPN
ejpam-2456	198	3	|by|+	|by|+	PROPN
ejpam-2456	198	4	òmh‖φ‖b	òmh‖φ‖b	PROPN
ejpam-2456	198	5	d.	d.	PROPN
ejpam-2456	198	6	aoued	aoued	PROPN
ejpam-2456	198	7	,	,	PUNCT
ejpam-2456	198	8	s.	s.	PROPN
ejpam-2456	198	9	baghli	baghli	PROPN
ejpam-2456	198	10	-	-	PUNCT
ejpam-2456	198	11	bendimerad	bendimerad	PROPN
ejpam-2456	198	12	/	/	SYM
ejpam-2456	198	13	eur	eur	PROPN
ejpam-2456	198	14	.	.	PUNCT
ejpam-2456	199	1	j.	j.	PROPN
ejpam-2456	199	2	pure	pure	PROPN
ejpam-2456	199	3	appl	appl	PROPN
ejpam-2456	199	4	.	.	PROPN
ejpam-2456	199	5	math	math	PROPN
ejpam-2456	199	6	,	,	PUNCT
ejpam-2456	199	7	9	9	NUM
ejpam-2456	199	8	(	(	PUNCT
ejpam-2456	199	9	2016	2016	NUM
ejpam-2456	199	10	)	)	PUNCT
ejpam-2456	199	11	,	,	PUNCT
ejpam-2456	199	12	383	383	NUM
ejpam-2456	199	13	-	-	SYM
ejpam-2456	199	14	401	401	NUM
ejpam-2456	199	15	390	390	NUM
ejpam-2456	200	1	+	+	NOUN
ejpam-2456	200	2	òm	òm	INTJ
ejpam-2456	200	3	∫	∫	PROPN
ejpam-2456	200	4	n	n	CCONJ
ejpam-2456	200	5	0	0	NUM
ejpam-2456	200	6	p(τ	p(τ	ADJ
ejpam-2456	200	7	)	)	PUNCT
ejpam-2456	200	8	ψ(‖zρ(τ	ψ(‖zρ(τ	NOUN
ejpam-2456	200	9	,	,	PUNCT
ejpam-2456	200	10	zτ+xτ	zτ+xτ	NUM
ejpam-2456	200	11	)	)	PUNCT
ejpam-2456	201	1	+	+	NUM
ejpam-2456	201	2	xρ(τ	xρ(τ	NOUN
ejpam-2456	201	3	,	,	PUNCT
ejpam-2456	201	4	zτ+xτ)‖b	zτ+xτ)‖b	NUM
ejpam-2456	201	5	)	)	PUNCT
ejpam-2456	201	6	dτ	dτ	NOUN
ejpam-2456	201	7	�	�	PROPN
ejpam-2456	201	8	ds	ds	ADJ
ejpam-2456	201	9	≤òm	≤òm	PROPN
ejpam-2456	201	10	em	em	PROPN
ejpam-2456	201	11	em1n	em1n	PROPN
ejpam-2456	201	12	�	�	PROPN
ejpam-2456	201	13	|by|+	|by|+	PROPN
ejpam-2456	201	14	òmh‖φ‖b	òmh‖φ‖b	NOUN
ejpam-2456	201	15	+	+	CCONJ
ejpam-2456	201	16	òm	òm	INTJ
ejpam-2456	201	17	∫	∫	PROPN
ejpam-2456	201	18	n	n	CCONJ
ejpam-2456	201	19	0	0	NUM
ejpam-2456	201	20	p(s	p(s	NOUN
ejpam-2456	201	21	)	)	PUNCT
ejpam-2456	201	22	ψ(‖zρ(s	ψ(‖zρ(s	NOUN
ejpam-2456	201	23	,	,	PUNCT
ejpam-2456	201	24	zs+xs	zs+xs	X
ejpam-2456	201	25	)	)	PUNCT
ejpam-2456	202	1	+	+	CCONJ
ejpam-2456	202	2	xρ(s	xρ(s	ADP
ejpam-2456	202	3	,	,	PUNCT
ejpam-2456	202	4	zs+xs)‖b)ds	zs+xs)‖b)ds	PROPN
ejpam-2456	202	5	�	�	PROPN
ejpam-2456	202	6	.	.	PUNCT
ejpam-2456	203	1	using	use	VERB
ejpam-2456	203	2	proposition	proposition	NOUN
ejpam-2456	203	3	1	1	NUM
ejpam-2456	203	4	,	,	PUNCT
ejpam-2456	203	5	we	we	PRON
ejpam-2456	203	6	get	get	VERB
ejpam-2456	203	7	‖zρ(s	‖zρ(s	PROPN
ejpam-2456	203	8	,	,	PUNCT
ejpam-2456	203	9	zs+xs	zs+xs	NOUN
ejpam-2456	203	10	)	)	PUNCT
ejpam-2456	204	1	+	+	CCONJ
ejpam-2456	204	2	xρ(s	xρ(s	ADP
ejpam-2456	204	3	,	,	PUNCT
ejpam-2456	204	4	zs+xs)‖b	zs+xs)‖b	PROPN
ejpam-2456	204	5	≤kn|z(s)|+	≤kn|z(s)|+	PROPN
ejpam-2456	204	6	(	(	PUNCT
ejpam-2456	204	7	mn	mn	PROPN
ejpam-2456	204	8	+	+	PROPN
ejpam-2456	204	9	l	l	NOUN
ejpam-2456	204	10	φ)‖z0‖b	φ)‖z0‖b	NOUN
ejpam-2456	204	11	+	+	X
ejpam-2456	204	12	kn|x(s)|+	kn|x(s)|+	PROPN
ejpam-2456	204	13	(	(	PUNCT
ejpam-2456	204	14	mn	mn	PROPN
ejpam-2456	204	15	+	+	PROPN
ejpam-2456	204	16	l	l	NOUN
ejpam-2456	204	17	φ)‖x0‖b	φ)‖x0‖b	ADJ
ejpam-2456	204	18	≤kn|z(s)|+	≤kn|z(s)|+	PROPN
ejpam-2456	204	19	kn‖u(s	kn‖u(s	PROPN
ejpam-2456	204	20	,	,	PUNCT
ejpam-2456	204	21	0)‖b(e)|φ(0)|+	0)‖b(e)|φ(0)|+	PROPN
ejpam-2456	204	22	(	(	PUNCT
ejpam-2456	204	23	mn	mn	PROPN
ejpam-2456	204	24	+	+	PROPN
ejpam-2456	204	25	l	l	NOUN
ejpam-2456	204	26	φ)‖φ‖b	φ)‖φ‖b	NOUN
ejpam-2456	204	27	≤kn|z(s)|+	≤kn|z(s)|+	PROPN
ejpam-2456	204	28	(	(	PUNCT
ejpam-2456	204	29	mn	mn	PROPN
ejpam-2456	204	30	+	+	PROPN
ejpam-2456	204	31	l	l	X
ejpam-2456	204	32	φ	φ	NOUN
ejpam-2456	204	33	+	+	X
ejpam-2456	204	34	knòmh)‖φ‖b	knòmh)‖φ‖b	NOUN
ejpam-2456	204	35	.	.	PUNCT
ejpam-2456	205	1	set	set	VERB
ejpam-2456	205	2	cn	cn	PROPN
ejpam-2456	206	1	:	:	PUNCT
ejpam-2456	206	2	=	=	SYM
ejpam-2456	206	3	(	(	PUNCT
ejpam-2456	206	4	mn	mn	PROPN
ejpam-2456	206	5	+	+	PROPN
ejpam-2456	206	6	l	l	X
ejpam-2456	206	7	φ	φ	NOUN
ejpam-2456	206	8	+	+	CCONJ
ejpam-2456	206	9	knòmh)‖φ‖b	knòmh)‖φ‖b	NOUN
ejpam-2456	206	10	,	,	PUNCT
ejpam-2456	206	11	then	then	ADV
ejpam-2456	206	12	we	we	PRON
ejpam-2456	206	13	obtain	obtain	VERB
ejpam-2456	206	14	‖zρ(s	‖zρ(s	PROPN
ejpam-2456	206	15	,	,	PUNCT
ejpam-2456	206	16	zs+xs	zs+xs	NOUN
ejpam-2456	206	17	)	)	PUNCT
ejpam-2456	207	1	+	+	CCONJ
ejpam-2456	207	2	xρ(s	xρ(s	ADP
ejpam-2456	207	3	,	,	PUNCT
ejpam-2456	207	4	zs+xs)‖b	zs+xs)‖b	PROPN
ejpam-2456	207	5	≤	≤	PUNCT
ejpam-2456	207	6	kn|z(s)|+	kn|z(s)|+	VERB
ejpam-2456	208	1	cn	cn	PROPN
ejpam-2456	208	2	.	.	PUNCT
ejpam-2456	209	1	(	(	PUNCT
ejpam-2456	209	2	6	6	NUM
ejpam-2456	209	3	)	)	PUNCT
ejpam-2456	209	4	since	since	SCONJ
ejpam-2456	209	5	z	z	PROPN
ejpam-2456	209	6	∈	∈	PROPN
ejpam-2456	210	1	bd	bd	PROPN
ejpam-2456	210	2	,	,	PUNCT
ejpam-2456	210	3	then	then	ADV
ejpam-2456	210	4	we	we	PRON
ejpam-2456	210	5	have	have	VERB
ejpam-2456	210	6	for	for	ADP
ejpam-2456	210	7	δn	δn	NOUN
ejpam-2456	210	8	:	:	PUNCT
ejpam-2456	210	9	=	=	SYM
ejpam-2456	210	10	knd	knd	X
ejpam-2456	210	11	+	+	CCONJ
ejpam-2456	210	12	cn	cn	PROPN
ejpam-2456	210	13	‖zρ(s	‖zρ(s	PROPN
ejpam-2456	210	14	,	,	PUNCT
ejpam-2456	210	15	zs+xs	zs+xs	NOUN
ejpam-2456	210	16	)	)	PUNCT
ejpam-2456	211	1	+	+	CCONJ
ejpam-2456	211	2	xρ(s	xρ(s	ADP
ejpam-2456	211	3	,	,	PUNCT
ejpam-2456	211	4	zs+xs)‖b	zs+xs)‖b	PROPN
ejpam-2456	211	5	≤	≤	PUNCT
ejpam-2456	211	6	kn|z(s)|+	kn|z(s)|+	VERB
ejpam-2456	211	7	cn	cn	PROPN
ejpam-2456	211	8	≤	≤	PROPN
ejpam-2456	211	9	δn	δn	NOUN
ejpam-2456	211	10	.	.	PUNCT
ejpam-2456	212	1	(	(	PUNCT
ejpam-2456	212	2	7	7	X
ejpam-2456	212	3	)	)	PUNCT
ejpam-2456	212	4	using	use	VERB
ejpam-2456	212	5	the	the	DET
ejpam-2456	212	6	nondecreasing	nondecreasing	ADJ
ejpam-2456	212	7	character	character	NOUN
ejpam-2456	212	8	of	of	ADP
ejpam-2456	212	9	ψ	ψ	PROPN
ejpam-2456	212	10	,	,	PUNCT
ejpam-2456	212	11	we	we	PRON
ejpam-2456	212	12	get	get	VERB
ejpam-2456	212	13	for	for	ADP
ejpam-2456	212	14	each	each	DET
ejpam-2456	212	15	t	t	NOUN
ejpam-2456	212	16	∈	∈	PROPN
ejpam-2456	213	1	[	[	X
ejpam-2456	213	2	0	0	NUM
ejpam-2456	213	3	,	,	PUNCT
ejpam-2456	213	4	n	n	CCONJ
ejpam-2456	213	5	]	]	PUNCT
ejpam-2456	213	6	|f(z)(t)|	|f(z)(t)|	NUM
ejpam-2456	213	7	≤	≤	NUM
ejpam-2456	214	1	òm	òm	INTJ
ejpam-2456	214	2	em	em	PROPN
ejpam-2456	214	3	em1n	em1n	PROPN
ejpam-2456	214	4	�	�	PROPN
ejpam-2456	214	5	|by|+	|by|+	PROPN
ejpam-2456	214	6	òmh‖φ‖b	òmh‖φ‖b	ADP
ejpam-2456	214	7	+	+	NUM
ejpam-2456	214	8	òmψ(δn)‖p‖l1	òmψ(δn)‖p‖l1	NOUN
ejpam-2456	214	9	�	�	NOUN
ejpam-2456	214	10	:	:	PUNCT
ejpam-2456	215	1	=	=	SYM
ejpam-2456	215	2	%	%	INTJ
ejpam-2456	215	3	.	.	PUNCT
ejpam-2456	216	1	thus	thus	ADV
ejpam-2456	216	2	there	there	PRON
ejpam-2456	216	3	exists	exist	VERB
ejpam-2456	216	4	a	a	DET
ejpam-2456	216	5	positive	positive	ADJ
ejpam-2456	216	6	number	number	NOUN
ejpam-2456	216	7	%	%	NOUN
ejpam-2456	216	8	such	such	ADJ
ejpam-2456	216	9	that	that	SCONJ
ejpam-2456	216	10	‖f(z)‖n	‖f(z)‖n	PROPN
ejpam-2456	216	11	≤	≤	NUM
ejpam-2456	216	12	%	%	NOUN
ejpam-2456	216	13	.	.	PUNCT
ejpam-2456	217	1	hence	hence	ADV
ejpam-2456	217	2	f(bd	f(bd	PROPN
ejpam-2456	217	3	)	)	PUNCT
ejpam-2456	217	4	⊂	⊂	PROPN
ejpam-2456	217	5	b%	b%	PROPN
ejpam-2456	217	6	.	.	PUNCT
ejpam-2456	218	1	step	step	NOUN
ejpam-2456	218	2	3	3	NUM
ejpam-2456	218	3	:	:	PUNCT
ejpam-2456	218	4	f	f	PROPN
ejpam-2456	218	5	maps	map	NOUN
ejpam-2456	218	6	bounded	bound	VERB
ejpam-2456	218	7	sets	set	NOUN
ejpam-2456	218	8	into	into	ADP
ejpam-2456	218	9	equicontinuous	equicontinuous	ADJ
ejpam-2456	218	10	sets	set	NOUN
ejpam-2456	218	11	of	of	ADP
ejpam-2456	218	12	b0	b0	NOUN
ejpam-2456	218	13	+	+	NOUN
ejpam-2456	218	14	∞.	∞.	PROPN
ejpam-2456	218	15	we	we	PRON
ejpam-2456	218	16	consider	consider	VERB
ejpam-2456	218	17	bd	bd	NOUN
ejpam-2456	218	18	as	as	ADP
ejpam-2456	218	19	in	in	ADP
ejpam-2456	218	20	step	step	NOUN
ejpam-2456	218	21	2	2	NUM
ejpam-2456	218	22	and	and	CCONJ
ejpam-2456	218	23	we	we	PRON
ejpam-2456	218	24	show	show	VERB
ejpam-2456	218	25	that	that	SCONJ
ejpam-2456	218	26	f(bd	f(bd	NOUN
ejpam-2456	218	27	)	)	PUNCT
ejpam-2456	218	28	is	be	AUX
ejpam-2456	218	29	equicontinuous	equicontinuous	ADJ
ejpam-2456	218	30	.	.	PUNCT
ejpam-2456	219	1	let	let	VERB
ejpam-2456	219	2	τ1,τ2	τ1,τ2	PROPN
ejpam-2456	219	3	∈	∈	PROPN
ejpam-2456	219	4	j	j	PROPN
ejpam-2456	219	5	with	with	ADP
ejpam-2456	219	6	τ2	τ2	PROPN
ejpam-2456	219	7	>	>	X
ejpam-2456	219	8	τ1	τ1	NOUN
ejpam-2456	219	9	and	and	CCONJ
ejpam-2456	219	10	z	z	NOUN
ejpam-2456	219	11	∈	∈	PROPN
ejpam-2456	220	1	bd	bd	PROPN
ejpam-2456	220	2	.	.	PUNCT
ejpam-2456	221	1	then	then	ADV
ejpam-2456	221	2	|f(z)(τ2)−	|f(z)(τ2)−	PUNCT
ejpam-2456	221	3	f(z)(τ1)|	f(z)(τ1)|	PROPN
ejpam-2456	221	4	≤	≤	ADJ
ejpam-2456	221	5	∫	∫	PROPN
ejpam-2456	221	6	τ1	τ1	NOUN
ejpam-2456	221	7	0	0	NUM
ejpam-2456	221	8	‖u(τ2	‖u(τ2	PROPN
ejpam-2456	221	9	,	,	PUNCT
ejpam-2456	221	10	s)−	s)−	PROPN
ejpam-2456	221	11	u(τ1	u(τ1	NOUN
ejpam-2456	221	12	,	,	PUNCT
ejpam-2456	221	13	s)‖b(e	s)‖b(e	ADJ
ejpam-2456	221	14	)	)	PUNCT
ejpam-2456	221	15	‖c‖|uz+x(s)|	‖c‖|uz+x(s)|	PROPN
ejpam-2456	221	16	ds	ds	PROPN
ejpam-2456	221	17	+	+	CCONJ
ejpam-2456	221	18	∫	∫	X
ejpam-2456	221	19	τ2	τ2	PROPN
ejpam-2456	221	20	τ1	τ1	PROPN
ejpam-2456	221	21	‖u(τ2	‖u(τ2	PROPN
ejpam-2456	221	22	,	,	PUNCT
ejpam-2456	221	23	s)‖b(e	s)‖b(e	ADJ
ejpam-2456	221	24	)	)	PUNCT
ejpam-2456	221	25	‖c‖|uz+x(s)|	‖c‖|uz+x(s)|	PROPN
ejpam-2456	221	26	ds	ds	PROPN
ejpam-2456	221	27	.	.	PUNCT
ejpam-2456	221	28	by	by	ADP
ejpam-2456	221	29	the	the	DET
ejpam-2456	221	30	inequalities	inequality	NOUN
ejpam-2456	221	31	(	(	PUNCT
ejpam-2456	221	32	5	5	NUM
ejpam-2456	221	33	)	)	PUNCT
ejpam-2456	221	34	and	and	CCONJ
ejpam-2456	221	35	(	(	PUNCT
ejpam-2456	221	36	6	6	NUM
ejpam-2456	221	37	)	)	PUNCT
ejpam-2456	221	38	and	and	CCONJ
ejpam-2456	221	39	using	use	VERB
ejpam-2456	221	40	the	the	DET
ejpam-2456	221	41	nondecreasing	nondecrease	VERB
ejpam-2456	221	42	character	character	NOUN
ejpam-2456	221	43	of	of	ADP
ejpam-2456	221	44	ψ	ψ	PROPN
ejpam-2456	221	45	,	,	PUNCT
ejpam-2456	221	46	we	we	PRON
ejpam-2456	221	47	get	get	VERB
ejpam-2456	221	48	|uz+x(t)|	|uz+x(t)|	ADJ
ejpam-2456	221	49	≤	≤	NUM
ejpam-2456	221	50	em1	em1	PROPN
ejpam-2456	221	51	�	�	PROPN
ejpam-2456	221	52	|y∗|+	|y∗|+	NOUN
ejpam-2456	221	53	òmh‖φ‖b	òmh‖φ‖b	ADP
ejpam-2456	221	54	+	+	CCONJ
ejpam-2456	221	55	òm	òm	X
ejpam-2456	221	56	ψ(δn	ψ(δn	PROPN
ejpam-2456	221	57	)	)	PUNCT
ejpam-2456	221	58	‖p‖l1	‖p‖l1	PROPN
ejpam-2456	221	59	�	�	NOUN
ejpam-2456	221	60	:	:	PUNCT
ejpam-2456	221	61	=	=	NOUN
ejpam-2456	221	62	ω	ω	PROPN
ejpam-2456	221	63	.	.	PUNCT
ejpam-2456	222	1	(	(	PUNCT
ejpam-2456	222	2	8)	8)	NUM
ejpam-2456	222	3	then	then	ADV
ejpam-2456	222	4	|f(z)(τ2)−	|f(z)(τ2)−	PUNCT
ejpam-2456	222	5	f(z)(τ1)|	f(z)(τ1)|	VERB
ejpam-2456	222	6	≤‖c‖b(e	≤‖c‖b(e	NOUN
ejpam-2456	222	7	)	)	PUNCT
ejpam-2456	222	8	ω	ω	NUM
ejpam-2456	222	9	∫	∫	PROPN
ejpam-2456	222	10	τ1	τ1	NOUN
ejpam-2456	222	11	0	0	NUM
ejpam-2456	222	12	‖u(τ2	‖u(τ2	PROPN
ejpam-2456	222	13	,	,	PUNCT
ejpam-2456	222	14	s)−	s)−	PROPN
ejpam-2456	222	15	u(τ1	u(τ1	NOUN
ejpam-2456	222	16	,	,	PUNCT
ejpam-2456	222	17	s)‖b(e	s)‖b(e	ADJ
ejpam-2456	222	18	)	)	PUNCT
ejpam-2456	222	19	ds	ds	ADJ
ejpam-2456	222	20	+	+	CCONJ
ejpam-2456	222	21	‖c‖b(e	‖c‖b(e	PROPN
ejpam-2456	222	22	)	)	PUNCT
ejpam-2456	222	23	ω	ω	NUM
ejpam-2456	222	24	∫	∫	PROPN
ejpam-2456	222	25	τ2	τ2	PROPN
ejpam-2456	222	26	τ1	τ1	PROPN
ejpam-2456	222	27	‖u(τ2	‖u(τ2	PROPN
ejpam-2456	222	28	,	,	PUNCT
ejpam-2456	222	29	s)‖b(e	s)‖b(e	ADJ
ejpam-2456	222	30	)	)	PUNCT
ejpam-2456	222	31	ds	ds	AUX
ejpam-2456	222	32	.	.	PUNCT
ejpam-2456	222	33	noting	note	VERB
ejpam-2456	222	34	that	that	SCONJ
ejpam-2456	222	35	|f(z)(τ2)−	|f(z)(τ2)−	ADP
ejpam-2456	222	36	f(z)(τ1)|	f(z)(τ1)|	PROPN
ejpam-2456	222	37	tends	tend	VERB
ejpam-2456	222	38	to	to	ADP
ejpam-2456	222	39	zero	zero	NUM
ejpam-2456	222	40	as	as	ADP
ejpam-2456	222	41	τ2	τ2	NOUN
ejpam-2456	222	42	−	−	NOUN
ejpam-2456	222	43	τ1	τ1	NOUN
ejpam-2456	222	44	→	→	SYM
ejpam-2456	222	45	0	0	NUM
ejpam-2456	222	46	independently	independently	ADV
ejpam-2456	222	47	of	of	ADP
ejpam-2456	222	48	z	z	PROPN
ejpam-2456	222	49	∈	∈	PROPN
ejpam-2456	223	1	bd	bd	PROPN
ejpam-2456	223	2	.	.	PUNCT
ejpam-2456	224	1	the	the	DET
ejpam-2456	224	2	right	right	ADJ
ejpam-2456	224	3	-	-	PUNCT
ejpam-2456	224	4	hand	hand	NOUN
ejpam-2456	224	5	side	side	NOUN
ejpam-2456	224	6	of	of	ADP
ejpam-2456	224	7	the	the	DET
ejpam-2456	224	8	above	above	ADJ
ejpam-2456	224	9	inequality	inequality	NOUN
ejpam-2456	224	10	tends	tend	VERB
ejpam-2456	224	11	to	to	ADP
ejpam-2456	224	12	zero	zero	NUM
ejpam-2456	224	13	as	as	ADP
ejpam-2456	224	14	τ2	τ2	NOUN
ejpam-2456	224	15	−	−	NOUN
ejpam-2456	224	16	τ1	τ1	NOUN
ejpam-2456	224	17	→	→	SYM
ejpam-2456	224	18	0	0	NUM
ejpam-2456	224	19	.	.	PUNCT
ejpam-2456	225	1	since	since	SCONJ
ejpam-2456	225	2	u(t	u(t	NOUN
ejpam-2456	225	3	,	,	PUNCT
ejpam-2456	225	4	s	s	PART
ejpam-2456	225	5	)	)	PUNCT
ejpam-2456	225	6	is	be	AUX
ejpam-2456	225	7	a	a	DET
ejpam-2456	225	8	d.	d.	PROPN
ejpam-2456	225	9	aoued	aoued	PROPN
ejpam-2456	225	10	,	,	PUNCT
ejpam-2456	225	11	s.	s.	PROPN
ejpam-2456	225	12	baghli	baghli	PROPN
ejpam-2456	225	13	-	-	PUNCT
ejpam-2456	225	14	bendimerad	bendimerad	PROPN
ejpam-2456	225	15	/	/	SYM
ejpam-2456	225	16	eur	eur	PROPN
ejpam-2456	225	17	.	.	PUNCT
ejpam-2456	226	1	j.	j.	PROPN
ejpam-2456	226	2	pure	pure	PROPN
ejpam-2456	226	3	appl	appl	PROPN
ejpam-2456	226	4	.	.	PROPN
ejpam-2456	226	5	math	math	PROPN
ejpam-2456	226	6	,	,	PUNCT
ejpam-2456	226	7	9	9	NUM
ejpam-2456	226	8	(	(	PUNCT
ejpam-2456	226	9	2016	2016	NUM
ejpam-2456	226	10	)	)	PUNCT
ejpam-2456	226	11	,	,	PUNCT
ejpam-2456	226	12	383	383	NUM
ejpam-2456	226	13	-	-	SYM
ejpam-2456	226	14	401	401	NUM
ejpam-2456	226	15	391	391	NUM
ejpam-2456	226	16	strongly	strongly	ADV
ejpam-2456	226	17	continuous	continuous	ADJ
ejpam-2456	226	18	operator	operator	NOUN
ejpam-2456	226	19	and	and	CCONJ
ejpam-2456	226	20	the	the	DET
ejpam-2456	226	21	compactness	compactness	NOUN
ejpam-2456	226	22	of	of	ADP
ejpam-2456	226	23	u(t	u(t	NOUN
ejpam-2456	226	24	,	,	PUNCT
ejpam-2456	226	25	s	s	NOUN
ejpam-2456	226	26	)	)	PUNCT
ejpam-2456	226	27	for	for	ADP
ejpam-2456	226	28	t	t	PROPN
ejpam-2456	226	29	>	>	X
ejpam-2456	226	30	s	s	PROPN
ejpam-2456	226	31	implies	imply	VERB
ejpam-2456	226	32	the	the	DET
ejpam-2456	226	33	continuity	continuity	NOUN
ejpam-2456	226	34	in	in	ADP
ejpam-2456	226	35	the	the	DET
ejpam-2456	226	36	uniform	uniform	ADJ
ejpam-2456	226	37	operator	operator	NOUN
ejpam-2456	226	38	topology	topology	NOUN
ejpam-2456	226	39	(	(	PUNCT
ejpam-2456	226	40	see	see	VERB
ejpam-2456	226	41	[	[	X
ejpam-2456	226	42	2	2	NUM
ejpam-2456	226	43	,	,	PUNCT
ejpam-2456	226	44	29	29	NUM
ejpam-2456	226	45	]	]	PUNCT
ejpam-2456	226	46	)	)	PUNCT
ejpam-2456	226	47	.	.	PUNCT
ejpam-2456	227	1	as	as	ADP
ejpam-2456	227	2	a	a	DET
ejpam-2456	227	3	consequence	consequence	NOUN
ejpam-2456	227	4	of	of	ADP
ejpam-2456	227	5	steps	step	NOUN
ejpam-2456	227	6	1	1	NUM
ejpam-2456	227	7	to	to	PART
ejpam-2456	227	8	3	3	NUM
ejpam-2456	227	9	together	together	ADV
ejpam-2456	227	10	with	with	ADP
ejpam-2456	227	11	the	the	DET
ejpam-2456	227	12	arzelá	arzelá	PROPN
ejpam-2456	227	13	-	-	PUNCT
ejpam-2456	227	14	ascoli	ascoli	NOUN
ejpam-2456	227	15	theorem	theorem	VERB
ejpam-2456	227	16	it	it	PRON
ejpam-2456	227	17	suffices	suffice	VERB
ejpam-2456	227	18	to	to	PART
ejpam-2456	227	19	show	show	VERB
ejpam-2456	227	20	that	that	SCONJ
ejpam-2456	227	21	the	the	DET
ejpam-2456	227	22	operator	operator	NOUN
ejpam-2456	227	23	f	f	PROPN
ejpam-2456	227	24	maps	maps	PROPN
ejpam-2456	227	25	bd	bd	PROPN
ejpam-2456	227	26	into	into	ADP
ejpam-2456	227	27	a	a	DET
ejpam-2456	227	28	precompact	precompact	ADJ
ejpam-2456	227	29	set	set	VERB
ejpam-2456	227	30	in	in	ADP
ejpam-2456	227	31	e.	e.	PROPN
ejpam-2456	227	32	let	let	VERB
ejpam-2456	227	33	t	t	PROPN
ejpam-2456	227	34	∈	∈	PROPN
ejpam-2456	227	35	j	j	PROPN
ejpam-2456	227	36	be	be	AUX
ejpam-2456	227	37	fixed	fix	VERB
ejpam-2456	227	38	and	and	CCONJ
ejpam-2456	227	39	let	let	VERB
ejpam-2456	227	40	ε	ε	PROPN
ejpam-2456	227	41	be	be	AUX
ejpam-2456	227	42	such	such	ADJ
ejpam-2456	227	43	that	that	SCONJ
ejpam-2456	227	44	0	0	NUM
ejpam-2456	227	45	<	<	X
ejpam-2456	227	46	ε	ε	X
ejpam-2456	227	47	<	<	X
ejpam-2456	227	48	t.	t.	PROPN
ejpam-2456	227	49	for	for	ADP
ejpam-2456	227	50	z	z	PROPN
ejpam-2456	227	51	∈	∈	PROPN
ejpam-2456	227	52	bd	bd	AUX
ejpam-2456	227	53	we	we	PRON
ejpam-2456	227	54	define	define	VERB
ejpam-2456	227	55	fε(z)(t	fε(z)(t	NUM
ejpam-2456	227	56	)	)	PUNCT
ejpam-2456	228	1	=	=	SYM
ejpam-2456	228	2	u(t	u(t	NOUN
ejpam-2456	228	3	,	,	PUNCT
ejpam-2456	228	4	t	t	NOUN
ejpam-2456	228	5	−	−	PROPN
ejpam-2456	228	6	ε	ε	PROPN
ejpam-2456	228	7	)	)	PUNCT
ejpam-2456	228	8	∫	∫	PROPN
ejpam-2456	229	1	t−ε	t−ε	PROPN
ejpam-2456	229	2	0	0	NUM
ejpam-2456	230	1	u(t	u(t	PROPN
ejpam-2456	230	2	−	−	PROPN
ejpam-2456	230	3	ε	ε	PROPN
ejpam-2456	230	4	,	,	PUNCT
ejpam-2456	230	5	s	s	PART
ejpam-2456	230	6	)	)	PUNCT
ejpam-2456	230	7	c	c	PROPN
ejpam-2456	230	8	uz+x(s	uz+x(s	PROPN
ejpam-2456	230	9	)	)	PUNCT
ejpam-2456	230	10	ds	ds	NOUN
ejpam-2456	230	11	.	.	NOUN
ejpam-2456	230	12	since	since	SCONJ
ejpam-2456	230	13	u(t	u(t	NOUN
ejpam-2456	230	14	,	,	PUNCT
ejpam-2456	230	15	s	s	PART
ejpam-2456	230	16	)	)	PUNCT
ejpam-2456	230	17	is	be	AUX
ejpam-2456	230	18	a	a	DET
ejpam-2456	230	19	compact	compact	ADJ
ejpam-2456	230	20	operator	operator	NOUN
ejpam-2456	230	21	,	,	PUNCT
ejpam-2456	230	22	the	the	DET
ejpam-2456	230	23	set	set	NOUN
ejpam-2456	230	24	zε(t	zε(t	NUM
ejpam-2456	230	25	)	)	PUNCT
ejpam-2456	230	26	=	=	PRON
ejpam-2456	230	27	{	{	PUNCT
ejpam-2456	230	28	fε(z)(t	fε(z)(t	PROPN
ejpam-2456	230	29	)	)	PUNCT
ejpam-2456	230	30	:	:	PUNCT
ejpam-2456	230	31	z	z	PROPN
ejpam-2456	230	32	∈	∈	PROPN
ejpam-2456	230	33	bd	bd	PROPN
ejpam-2456	230	34	}	}	PUNCT
ejpam-2456	230	35	is	be	AUX
ejpam-2456	230	36	pre	pre	ADJ
ejpam-2456	230	37	-	-	ADJ
ejpam-2456	230	38	compact	compact	ADJ
ejpam-2456	230	39	in	in	ADP
ejpam-2456	230	40	e	e	NOUN
ejpam-2456	230	41	for	for	SCONJ
ejpam-2456	230	42	every	every	DET
ejpam-2456	230	43	ε	ε	PROPN
ejpam-2456	230	44	sufficiently	sufficiently	ADV
ejpam-2456	230	45	small	small	ADJ
ejpam-2456	230	46	,	,	PUNCT
ejpam-2456	230	47	0	0	NUM
ejpam-2456	230	48	<	<	X
ejpam-2456	230	49	ε	ε	X
ejpam-2456	230	50	<	<	X
ejpam-2456	230	51	t.	t.	PROPN
ejpam-2456	230	52	moreover	moreover	ADV
ejpam-2456	230	53	using	use	VERB
ejpam-2456	230	54	(	(	PUNCT
ejpam-2456	230	55	8)	8)	NUM
ejpam-2456	230	56	,	,	PUNCT
ejpam-2456	230	57	we	we	PRON
ejpam-2456	230	58	have	have	VERB
ejpam-2456	230	59	|f(z)(t)−	|f(z)(t)−	PROPN
ejpam-2456	230	60	fε(z)(t)|	fε(z)(t)|	PROPN
ejpam-2456	230	61	≤	≤	PROPN
ejpam-2456	230	62	∫	∫	PROPN
ejpam-2456	230	63	t	t	PROPN
ejpam-2456	230	64	t−ε	t−ε	PROPN
ejpam-2456	230	65	‖u(t	‖u(t	PUNCT
ejpam-2456	230	66	,	,	PUNCT
ejpam-2456	230	67	s)‖b(e	s)‖b(e	ADJ
ejpam-2456	230	68	)	)	PUNCT
ejpam-2456	230	69	‖c‖	‖c‖	PROPN
ejpam-2456	230	70	|uz+x(s)|	|uz+x(s)|	PROPN
ejpam-2456	230	71	ds	ds	ADJ
ejpam-2456	230	72	≤‖c‖b(e	≤‖c‖b(e	NOUN
ejpam-2456	230	73	)	)	PUNCT
ejpam-2456	231	1	ω	ω	NUM
ejpam-2456	231	2	∫	∫	PROPN
ejpam-2456	231	3	t	t	PROPN
ejpam-2456	231	4	t−ε	t−ε	PROPN
ejpam-2456	231	5	‖u(t	‖u(t	PUNCT
ejpam-2456	231	6	,	,	PUNCT
ejpam-2456	231	7	s)‖b(e	s)‖b(e	ADJ
ejpam-2456	231	8	)	)	PUNCT
ejpam-2456	231	9	ds	ds	PROPN
ejpam-2456	231	10	.	.	PUNCT
ejpam-2456	231	11	therefore	therefore	ADV
ejpam-2456	231	12	there	there	PRON
ejpam-2456	231	13	are	be	VERB
ejpam-2456	231	14	precompact	precompact	ADJ
ejpam-2456	231	15	sets	set	NOUN
ejpam-2456	231	16	arbitrary	arbitrary	ADJ
ejpam-2456	231	17	close	close	ADV
ejpam-2456	231	18	to	to	ADP
ejpam-2456	231	19	the	the	DET
ejpam-2456	231	20	set	set	NOUN
ejpam-2456	231	21	{	{	PUNCT
ejpam-2456	231	22	f(z)(t	f(z)(t	PROPN
ejpam-2456	231	23	)	)	PUNCT
ejpam-2456	231	24	:	:	PUNCT
ejpam-2456	232	1	z	z	PROPN
ejpam-2456	232	2	∈	∈	PROPN
ejpam-2456	232	3	bd	bd	PROPN
ejpam-2456	232	4	}	}	PUNCT
ejpam-2456	232	5	.	.	PUNCT
ejpam-2456	233	1	hence	hence	ADV
ejpam-2456	233	2	the	the	DET
ejpam-2456	233	3	set	set	NOUN
ejpam-2456	233	4	{	{	PUNCT
ejpam-2456	233	5	f(z)(t	f(z)(t	PROPN
ejpam-2456	233	6	)	)	PUNCT
ejpam-2456	233	7	:	:	PUNCT
ejpam-2456	233	8	z	z	PROPN
ejpam-2456	233	9	∈	∈	PROPN
ejpam-2456	233	10	bd	bd	PROPN
ejpam-2456	233	11	}	}	PUNCT
ejpam-2456	233	12	is	be	AUX
ejpam-2456	233	13	precompact	precompact	ADJ
ejpam-2456	233	14	in	in	ADP
ejpam-2456	233	15	e.	e.	PROPN
ejpam-2456	234	1	so	so	SCONJ
ejpam-2456	234	2	we	we	PRON
ejpam-2456	234	3	deduce	deduce	VERB
ejpam-2456	234	4	from	from	ADP
ejpam-2456	234	5	steps	step	NOUN
ejpam-2456	234	6	1	1	NUM
ejpam-2456	234	7	,	,	PUNCT
ejpam-2456	234	8	2	2	NUM
ejpam-2456	234	9	and	and	CCONJ
ejpam-2456	234	10	3	3	NUM
ejpam-2456	234	11	that	that	PRON
ejpam-2456	234	12	f	f	PROPN
ejpam-2456	234	13	is	be	AUX
ejpam-2456	234	14	a	a	DET
ejpam-2456	234	15	continuous	continuous	ADJ
ejpam-2456	234	16	compact	compact	ADJ
ejpam-2456	234	17	operator	operator	NOUN
ejpam-2456	234	18	.	.	PUNCT
ejpam-2456	235	1	step	step	NOUN
ejpam-2456	235	2	4	4	NUM
ejpam-2456	235	3	:	:	PUNCT
ejpam-2456	235	4	we	we	PRON
ejpam-2456	235	5	shall	shall	AUX
ejpam-2456	235	6	show	show	VERB
ejpam-2456	235	7	now	now	ADV
ejpam-2456	235	8	that	that	SCONJ
ejpam-2456	235	9	the	the	DET
ejpam-2456	235	10	operator	operator	NOUN
ejpam-2456	235	11	g	g	NOUN
ejpam-2456	235	12	is	be	AUX
ejpam-2456	235	13	a	a	DET
ejpam-2456	235	14	contraction	contraction	NOUN
ejpam-2456	235	15	.	.	PUNCT
ejpam-2456	236	1	indeed	indeed	ADV
ejpam-2456	236	2	,	,	PUNCT
ejpam-2456	236	3	consider	consider	VERB
ejpam-2456	236	4	z	z	NOUN
ejpam-2456	236	5	,	,	PUNCT
ejpam-2456	236	6	z	z	PROPN
ejpam-2456	236	7	∈	∈	PROPN
ejpam-2456	236	8	b0	b0	NOUN
ejpam-2456	236	9	+	+	PROPN
ejpam-2456	236	10	∞.	∞.	PROPN
ejpam-2456	236	11	by	by	ADP
ejpam-2456	236	12	(	(	PUNCT
ejpam-2456	236	13	h1	h1	PROPN
ejpam-2456	236	14	)	)	PUNCT
ejpam-2456	236	15	,	,	PUNCT
ejpam-2456	236	16	(	(	PUNCT
ejpam-2456	236	17	h3	h3	NOUN
ejpam-2456	236	18	)	)	PUNCT
ejpam-2456	236	19	and	and	CCONJ
ejpam-2456	236	20	(	(	PUNCT
ejpam-2456	236	21	7	7	NUM
ejpam-2456	236	22	)	)	PUNCT
ejpam-2456	236	23	,	,	PUNCT
ejpam-2456	236	24	we	we	PRON
ejpam-2456	236	25	get	get	VERB
ejpam-2456	236	26	for	for	ADP
ejpam-2456	236	27	each	each	DET
ejpam-2456	236	28	t	t	NOUN
ejpam-2456	236	29	∈	∈	PROPN
ejpam-2456	237	1	[	[	X
ejpam-2456	237	2	0	0	NUM
ejpam-2456	237	3	,	,	PUNCT
ejpam-2456	237	4	n	n	CCONJ
ejpam-2456	237	5	]	]	PUNCT
ejpam-2456	237	6	and	and	CCONJ
ejpam-2456	237	7	n	n	PRON
ejpam-2456	237	8	∈	∈	PROPN
ejpam-2456	237	9	n	n	PROPN
ejpam-2456	237	10	|g(z)(t)−	|g(z)(t)−	PROPN
ejpam-2456	237	11	g(z)(t)|	g(z)(t)|	PROPN
ejpam-2456	237	12	≤	≤	ADJ
ejpam-2456	238	1	∫	∫	PROPN
ejpam-2456	238	2	t	t	NOUN
ejpam-2456	238	3	0	0	NUM
ejpam-2456	238	4	òm	òm	X
ejpam-2456	238	5	ln(s	ln(s	X
ejpam-2456	238	6	)	)	PUNCT
ejpam-2456	238	7	‖zρ(s	‖zρ(s	NUM
ejpam-2456	238	8	,	,	PUNCT
ejpam-2456	238	9	zs+xs	zs+xs	NOUN
ejpam-2456	238	10	)	)	PUNCT
ejpam-2456	238	11	−	−	NOUN
ejpam-2456	238	12	zρ(s	zρ(s	PROPN
ejpam-2456	238	13	,	,	PUNCT
ejpam-2456	238	14	zs+xs)‖bds	zs+xs)‖bds	PROPN
ejpam-2456	238	15	≤	≤	NUM
ejpam-2456	238	16	∫	∫	PROPN
ejpam-2456	239	1	t	t	PROPN
ejpam-2456	239	2	0	0	NUM
ejpam-2456	240	1	òm	òm	PROPN
ejpam-2456	240	2	kn	kn	PROPN
ejpam-2456	240	3	ln(s	ln(s	X
ejpam-2456	240	4	)	)	PUNCT
ejpam-2456	240	5	|z(s)−	|z(s)−	NOUN
ejpam-2456	240	6	z(s)|ds	z(s)|ds	VERB
ejpam-2456	240	7	≤	≤	NUM
ejpam-2456	241	1	∫	∫	PROPN
ejpam-2456	241	2	t	t	PROPN
ejpam-2456	241	3	0	0	NUM
ejpam-2456	241	4	�	�	PROPN
ejpam-2456	241	5	ln(s	ln(s	NOUN
ejpam-2456	241	6	)	)	PUNCT
ejpam-2456	241	7	eτl∗n(s	eτl∗n(s	NOUN
ejpam-2456	241	8	)	)	PUNCT
ejpam-2456	241	9	�	�	PROPN
ejpam-2456	241	10	�	�	PROPN
ejpam-2456	241	11	e−τl∗n(s	e−τl∗n(s	PROPN
ejpam-2456	241	12	)	)	PUNCT
ejpam-2456	241	13	|z(s)−	|z(s)−	NOUN
ejpam-2456	241	14	z(s)|	z(s)|	PROPN
ejpam-2456	241	15	�	�	PROPN
ejpam-2456	241	16	ds	ds	VERB
ejpam-2456	241	17	≤	≤	NUM
ejpam-2456	241	18	∫	∫	PROPN
ejpam-2456	241	19	t	t	PROPN
ejpam-2456	241	20	0	0	NUM
ejpam-2456	241	21	�	�	PROPN
ejpam-2456	241	22	eτ	eτ	ADP
ejpam-2456	241	23	l∗n(s	l∗n(s	PROPN
ejpam-2456	241	24	)	)	PUNCT
ejpam-2456	241	25	τ	τ	PROPN
ejpam-2456	241	26	�	�	PROPN
ejpam-2456	241	27	′	′	NOUN
ejpam-2456	241	28	ds	ds	ADJ
ejpam-2456	241	29	‖z	‖z	NOUN
ejpam-2456	242	1	−	−	PROPN
ejpam-2456	242	2	z‖n	z‖n	NOUN
ejpam-2456	242	3	≤	≤	NUM
ejpam-2456	242	4	1	1	NUM
ejpam-2456	242	5	τ	τ	NOUN
ejpam-2456	242	6	eτ	eτ	ADP
ejpam-2456	242	7	l∗n(t	l∗n(t	PROPN
ejpam-2456	242	8	)	)	PUNCT
ejpam-2456	242	9	‖z	‖z	NOUN
ejpam-2456	242	10	−	−	NOUN
ejpam-2456	242	11	z‖n	z‖n	NOUN
ejpam-2456	242	12	.	.	PUNCT
ejpam-2456	243	1	therefore	therefore	ADV
ejpam-2456	243	2	,	,	PUNCT
ejpam-2456	243	3	‖g(z)−	‖g(z)−	X
ejpam-2456	243	4	g(z)‖n	g(z)‖n	X
ejpam-2456	243	5	≤	≤	NUM
ejpam-2456	243	6	1	1	NUM
ejpam-2456	243	7	τ	τ	NOUN
ejpam-2456	243	8	‖z	‖z	NOUN
ejpam-2456	243	9	−	−	PROPN
ejpam-2456	243	10	z‖n	z‖n	NOUN
ejpam-2456	243	11	.	.	PUNCT
ejpam-2456	244	1	so	so	ADV
ejpam-2456	244	2	,	,	PUNCT
ejpam-2456	244	3	the	the	DET
ejpam-2456	244	4	operator	operator	NOUN
ejpam-2456	244	5	g	g	NOUN
ejpam-2456	244	6	is	be	AUX
ejpam-2456	244	7	a	a	DET
ejpam-2456	244	8	contraction	contraction	NOUN
ejpam-2456	244	9	for	for	ADP
ejpam-2456	244	10	all	all	DET
ejpam-2456	244	11	n	n	PRON
ejpam-2456	244	12	∈	∈	PROPN
ejpam-2456	244	13	n.	n.	NOUN
ejpam-2456	244	14	step	step	NOUN
ejpam-2456	244	15	5	5	NUM
ejpam-2456	244	16	:	:	PUNCT
ejpam-2456	244	17	to	to	PART
ejpam-2456	244	18	apply	apply	VERB
ejpam-2456	244	19	theorem	theorem	NOUN
ejpam-2456	244	20	1	1	NUM
ejpam-2456	244	21	,	,	PUNCT
ejpam-2456	244	22	we	we	PRON
ejpam-2456	244	23	must	must	AUX
ejpam-2456	244	24	check	check	VERB
ejpam-2456	244	25	(	(	PUNCT
ejpam-2456	244	26	c2	c2	PROPN
ejpam-2456	244	27	):	):	PUNCT
ejpam-2456	244	28	i.e.	i.e.	X
ejpam-2456	244	29	it	it	PRON
ejpam-2456	244	30	remains	remain	VERB
ejpam-2456	244	31	to	to	PART
ejpam-2456	244	32	show	show	VERB
ejpam-2456	244	33	that	that	SCONJ
ejpam-2456	244	34	the	the	DET
ejpam-2456	244	35	following	follow	VERB
ejpam-2456	244	36	set	set	NOUN
ejpam-2456	244	37	is	be	AUX
ejpam-2456	244	38	bounded	bound	VERB
ejpam-2456	244	39	e	e	X
ejpam-2456	244	40	=	=	SYM
ejpam-2456	244	41	�	�	PROPN
ejpam-2456	244	42	z	z	PROPN
ejpam-2456	244	43	∈	∈	PROPN
ejpam-2456	244	44	b0	b0	NOUN
ejpam-2456	244	45	+	+	NOUN
ejpam-2456	244	46	∞	∞	PROPN
ejpam-2456	244	47	:	:	PUNCT
ejpam-2456	245	1	z	z	X
ejpam-2456	245	2	=	=	SYM
ejpam-2456	245	3	λ	λ	SYM
ejpam-2456	245	4	f(z	f(z	PROPN
ejpam-2456	245	5	)	)	PUNCT
ejpam-2456	246	1	+	+	NOUN
ejpam-2456	246	2	λ	λ	X
ejpam-2456	246	3	g	g	PROPN
ejpam-2456	246	4	�	�	PROPN
ejpam-2456	246	5	z	z	PROPN
ejpam-2456	246	6	λ	λ	PROPN
ejpam-2456	246	7	�	�	PROPN
ejpam-2456	246	8	for	for	ADP
ejpam-2456	246	9	some	some	DET
ejpam-2456	246	10	0	0	NUM
ejpam-2456	246	11	<	<	X
ejpam-2456	246	12	λ	λ	X
ejpam-2456	246	13	<	<	X
ejpam-2456	246	14	1	1	NUM
ejpam-2456	246	15	.	.	PUNCT
ejpam-2456	247	1	let	let	VERB
ejpam-2456	247	2	z	z	NOUN
ejpam-2456	247	3	∈	∈	PROPN
ejpam-2456	247	4	e	e	X
ejpam-2456	247	5	.	.	PUNCT
ejpam-2456	248	1	by	by	ADP
ejpam-2456	248	2	(	(	PUNCT
ejpam-2456	248	3	5	5	NUM
ejpam-2456	248	4	)	)	PUNCT
ejpam-2456	248	5	,	,	PUNCT
ejpam-2456	248	6	we	we	PRON
ejpam-2456	248	7	have	have	VERB
ejpam-2456	248	8	for	for	ADP
ejpam-2456	248	9	each	each	DET
ejpam-2456	248	10	t	t	NOUN
ejpam-2456	248	11	∈	∈	PROPN
ejpam-2456	249	1	[	[	X
ejpam-2456	249	2	0	0	NUM
ejpam-2456	249	3	,	,	PUNCT
ejpam-2456	249	4	n	n	CCONJ
ejpam-2456	249	5	]	]	PUNCT
ejpam-2456	249	6	|z(t)|	|z(t)|	PROPN
ejpam-2456	249	7	λ	λ	X
ejpam-2456	249	8	≤òm	≤òm	PUNCT
ejpam-2456	249	9	em	em	PRON
ejpam-2456	249	10	em1n	em1n	PROPN
ejpam-2456	249	11	�	�	PROPN
ejpam-2456	249	12	|by|+	|by|+	PROPN
ejpam-2456	249	13	òmh‖φ‖b	òmh‖φ‖b	PROPN
ejpam-2456	249	14	�	�	PROPN
ejpam-2456	249	15	d.	d.	PROPN
ejpam-2456	249	16	aoued	aoued	PROPN
ejpam-2456	249	17	,	,	PUNCT
ejpam-2456	249	18	s.	s.	PROPN
ejpam-2456	249	19	baghli	baghli	PROPN
ejpam-2456	249	20	-	-	PUNCT
ejpam-2456	249	21	bendimerad	bendimerad	PROPN
ejpam-2456	249	22	/	/	SYM
ejpam-2456	249	23	eur	eur	PROPN
ejpam-2456	249	24	.	.	PUNCT
ejpam-2456	250	1	j.	j.	PROPN
ejpam-2456	250	2	pure	pure	PROPN
ejpam-2456	250	3	appl	appl	PROPN
ejpam-2456	250	4	.	.	PROPN
ejpam-2456	250	5	math	math	PROPN
ejpam-2456	250	6	,	,	PUNCT
ejpam-2456	250	7	9	9	NUM
ejpam-2456	250	8	(	(	PUNCT
ejpam-2456	250	9	2016	2016	NUM
ejpam-2456	250	10	)	)	PUNCT
ejpam-2456	250	11	,	,	PUNCT
ejpam-2456	250	12	383	383	NUM
ejpam-2456	250	13	-	-	SYM
ejpam-2456	250	14	401	401	NUM
ejpam-2456	250	15	392	392	NUM
ejpam-2456	250	16	+	+	CCONJ
ejpam-2456	250	17	òm2	òm2	PROPN
ejpam-2456	250	18	em	em	PROPN
ejpam-2456	250	19	em1n	em1n	PROPN
ejpam-2456	250	20	∫	∫	PROPN
ejpam-2456	250	21	n	n	CCONJ
ejpam-2456	250	22	0	0	NUM
ejpam-2456	250	23	p(s	p(s	NUM
ejpam-2456	250	24	)	)	PUNCT
ejpam-2456	250	25	ψ	ψ	PROPN
ejpam-2456	250	26	�	�	PROPN
ejpam-2456	250	27	‖zρ(s	‖zρ(s	PROPN
ejpam-2456	250	28	,	,	PUNCT
ejpam-2456	250	29	zs+xs	zs+xs	NOUN
ejpam-2456	250	30	)	)	PUNCT
ejpam-2456	251	1	+	+	CCONJ
ejpam-2456	251	2	xρ(s	xρ(s	ADP
ejpam-2456	251	3	,	,	PUNCT
ejpam-2456	251	4	zs+xs)‖b	zs+xs)‖b	PROPN
ejpam-2456	251	5	�	�	PROPN
ejpam-2456	251	6	ds	ds	PROPN
ejpam-2456	251	7	+	+	CCONJ
ejpam-2456	251	8	òm	òm	INTJ
ejpam-2456	251	9	∫	∫	PROPN
ejpam-2456	251	10	t	t	PROPN
ejpam-2456	251	11	0	0	NUM
ejpam-2456	251	12	p(s	p(s	PROPN
ejpam-2456	251	13	)	)	PUNCT
ejpam-2456	251	14	ψ	ψ	ADP
ejpam-2456	251	15	�	�	PROPN
ejpam-2456	251	16	zρ(s	zρ(s	PROPN
ejpam-2456	251	17	,	,	PUNCT
ejpam-2456	251	18	zs	zs	PROPN
ejpam-2456	251	19	λ	λ	PROPN
ejpam-2456	251	20	+	+	PROPN
ejpam-2456	251	21	xs	xs	X
ejpam-2456	251	22	)	)	PUNCT
ejpam-2456	251	23	λ	λ	PROPN
ejpam-2456	252	1	+	+	CCONJ
ejpam-2456	252	2	xρ(s	xρ(s	PUNCT
ejpam-2456	252	3	,	,	PUNCT
ejpam-2456	252	4	zs	zs	PROPN
ejpam-2456	252	5	λ	λ	PROPN
ejpam-2456	252	6	+	+	PROPN
ejpam-2456	252	7	xs	xs	PROPN
ejpam-2456	252	8	)	)	PUNCT
ejpam-2456	252	9	b	b	PROPN
ejpam-2456	252	10	�	�	PROPN
ejpam-2456	252	11	ds	ds	PROPN
ejpam-2456	252	12	.	.	PUNCT
ejpam-2456	252	13	using	use	VERB
ejpam-2456	252	14	the	the	DET
ejpam-2456	252	15	first	first	ADJ
ejpam-2456	252	16	inequality	inequality	NOUN
ejpam-2456	252	17	in	in	ADP
ejpam-2456	252	18	(	(	PUNCT
ejpam-2456	252	19	6	6	NUM
ejpam-2456	252	20	)	)	PUNCT
ejpam-2456	252	21	,	,	PUNCT
ejpam-2456	252	22	we	we	PRON
ejpam-2456	252	23	get	get	VERB
ejpam-2456	252	24	zρ(s	zρ(s	PROPN
ejpam-2456	252	25	,	,	PUNCT
ejpam-2456	253	1	zs	zs	PROPN
ejpam-2456	253	2	λ	λ	PROPN
ejpam-2456	253	3	+	+	PROPN
ejpam-2456	253	4	xs	xs	X
ejpam-2456	253	5	)	)	PUNCT
ejpam-2456	253	6	λ	λ	PROPN
ejpam-2456	254	1	+	+	CCONJ
ejpam-2456	254	2	xρ(s	xρ(s	PUNCT
ejpam-2456	254	3	,	,	PUNCT
ejpam-2456	254	4	zs	zs	PROPN
ejpam-2456	254	5	λ	λ	PROPN
ejpam-2456	254	6	+	+	PROPN
ejpam-2456	254	7	xs	xs	PROPN
ejpam-2456	254	8	)	)	PUNCT
ejpam-2456	254	9	b	b	PROPN
ejpam-2456	255	1	≤	≤	ADV
ejpam-2456	255	2	kn|z(s)|	kn|z(s)|	PROPN
ejpam-2456	255	3	λ	λ	PROPN
ejpam-2456	256	1	+	+	NUM
ejpam-2456	257	1	mn	mn	PROPN
ejpam-2456	258	1	+	+	PROPN
ejpam-2456	258	2	l	l	X
ejpam-2456	258	3	φ	φ	X
ejpam-2456	258	4	λ	λ	PROPN
ejpam-2456	258	5	‖z0‖b	‖z0‖b	PUNCT
ejpam-2456	258	6	+	+	CCONJ
ejpam-2456	258	7	kn|x(s)|+	kn|x(s)|+	PROPN
ejpam-2456	258	8	�	�	PROPN
ejpam-2456	258	9	mn	mn	PROPN
ejpam-2456	259	1	+	+	PROPN
ejpam-2456	259	2	l	l	PROPN
ejpam-2456	259	3	φ	φ	PROPN
ejpam-2456	259	4	�	�	PROPN
ejpam-2456	259	5	‖x0‖b	‖x0‖b	PUNCT
ejpam-2456	259	6	≤	≤	ADV
ejpam-2456	260	1	kn|z(s)|	kn|z(s)|	PROPN
ejpam-2456	260	2	λ	λ	PROPN
ejpam-2456	261	1	+	+	CCONJ
ejpam-2456	261	2	kn‖u(s	kn‖u(s	ADJ
ejpam-2456	261	3	,	,	PUNCT
ejpam-2456	261	4	0)‖b(e)|φ(0)|+	0)‖b(e)|φ(0)|+	PROPN
ejpam-2456	261	5	�	�	PROPN
ejpam-2456	261	6	mn	mn	PROPN
ejpam-2456	261	7	+	+	PROPN
ejpam-2456	261	8	l	l	PROPN
ejpam-2456	261	9	φ	φ	PROPN
ejpam-2456	261	10	�	�	PROPN
ejpam-2456	261	11	‖φ‖b	‖φ‖b	VERB
ejpam-2456	261	12	≤	≤	NOUN
ejpam-2456	262	1	kn|z(s)|	kn|z(s)|	PROPN
ejpam-2456	262	2	λ	λ	PROPN
ejpam-2456	262	3	+	+	NUM
ejpam-2456	262	4	�	�	PROPN
ejpam-2456	262	5	knòmh	knòmh	PROPN
ejpam-2456	262	6	+	+	PROPN
ejpam-2456	262	7	mn	mn	PROPN
ejpam-2456	262	8	+	+	PROPN
ejpam-2456	262	9	l	l	PROPN
ejpam-2456	262	10	φ	φ	PROPN
ejpam-2456	262	11	�	�	PROPN
ejpam-2456	262	12	‖φ‖b	‖φ‖b	PROPN
ejpam-2456	262	13	.	.	PUNCT
ejpam-2456	263	1	then	then	ADV
ejpam-2456	263	2	,	,	PUNCT
ejpam-2456	263	3	we	we	PRON
ejpam-2456	263	4	get	get	VERB
ejpam-2456	263	5	zρ(s	zρ(s	PROPN
ejpam-2456	263	6	,	,	PUNCT
ejpam-2456	263	7	zs	zs	PROPN
ejpam-2456	263	8	λ	λ	PROPN
ejpam-2456	263	9	+	+	PROPN
ejpam-2456	263	10	xs	xs	X
ejpam-2456	263	11	)	)	PUNCT
ejpam-2456	263	12	λ	λ	PROPN
ejpam-2456	264	1	+	+	CCONJ
ejpam-2456	264	2	xρ(s	xρ(s	PUNCT
ejpam-2456	264	3	,	,	PUNCT
ejpam-2456	264	4	zs	zs	PROPN
ejpam-2456	264	5	λ	λ	PROPN
ejpam-2456	264	6	+	+	PROPN
ejpam-2456	264	7	xs	xs	PROPN
ejpam-2456	264	8	)	)	PUNCT
ejpam-2456	264	9	b	b	PROPN
ejpam-2456	265	1	≤	≤	ADV
ejpam-2456	265	2	kn|z(s)|	kn|z(s)|	PROPN
ejpam-2456	265	3	λ	λ	PROPN
ejpam-2456	266	1	+	+	CCONJ
ejpam-2456	267	1	cn	cn	PROPN
ejpam-2456	267	2	.	.	PUNCT
ejpam-2456	268	1	(	(	PUNCT
ejpam-2456	268	2	9	9	NUM
ejpam-2456	268	3	)	)	PUNCT
ejpam-2456	268	4	by	by	ADP
ejpam-2456	268	5	the	the	DET
ejpam-2456	268	6	previous	previous	ADJ
ejpam-2456	268	7	inequality	inequality	NOUN
ejpam-2456	268	8	and	and	CCONJ
ejpam-2456	268	9	the	the	DET
ejpam-2456	268	10	nondecreasing	nondecreasing	ADJ
ejpam-2456	268	11	character	character	NOUN
ejpam-2456	268	12	of	of	ADP
ejpam-2456	268	13	ψ	ψ	PROPN
ejpam-2456	268	14	,	,	PUNCT
ejpam-2456	268	15	we	we	PRON
ejpam-2456	268	16	obtain	obtain	VERB
ejpam-2456	268	17	|z(t)|	|z(t)|	PROPN
ejpam-2456	268	18	λ	λ	X
ejpam-2456	268	19	≤òm	≤òm	NOUN
ejpam-2456	268	20	em	em	PRON
ejpam-2456	268	21	em1n	em1n	PROPN
ejpam-2456	268	22	�	�	PROPN
ejpam-2456	268	23	|by|+	|by|+	PROPN
ejpam-2456	268	24	òmh‖φ‖b	òmh‖φ‖b	PROPN
ejpam-2456	268	25	�	�	PROPN
ejpam-2456	268	26	+	+	CCONJ
ejpam-2456	268	27	òm2	òm2	PROPN
ejpam-2456	268	28	em	em	PROPN
ejpam-2456	268	29	em1n	em1n	PROPN
ejpam-2456	268	30	∫	∫	PROPN
ejpam-2456	268	31	n	n	CCONJ
ejpam-2456	268	32	0	0	NUM
ejpam-2456	268	33	p(s	p(s	NOUN
ejpam-2456	268	34	)	)	PUNCT
ejpam-2456	268	35	ψ(kn|z(s)|+	ψ(kn|z(s)|+	VERB
ejpam-2456	268	36	cn)ds	cn)ds	PUNCT
ejpam-2456	269	1	+	+	CCONJ
ejpam-2456	269	2	òm	òm	INTJ
ejpam-2456	269	3	∫	∫	PROPN
ejpam-2456	269	4	t	t	PROPN
ejpam-2456	269	5	0	0	NUM
ejpam-2456	269	6	p(s	p(s	PROPN
ejpam-2456	269	7	)	)	PUNCT
ejpam-2456	269	8	ψ	ψ	NOUN
ejpam-2456	269	9	�	�	PROPN
ejpam-2456	269	10	kn|z(s)|	kn|z(s)|	PROPN
ejpam-2456	269	11	λ	λ	PROPN
ejpam-2456	269	12	+	+	CCONJ
ejpam-2456	269	13	cn	cn	PROPN
ejpam-2456	269	14	�	�	PROPN
ejpam-2456	269	15	ds	ds	PROPN
ejpam-2456	269	16	.	.	PROPN
ejpam-2456	270	1	consider	consider	VERB
ejpam-2456	270	2	the	the	DET
ejpam-2456	270	3	function	function	NOUN
ejpam-2456	270	4	eu(t	eu(t	PUNCT
ejpam-2456	270	5	)	)	PUNCT
ejpam-2456	271	1	:	:	PUNCT
ejpam-2456	271	2	=	=	SYM
ejpam-2456	271	3	supθ∈[0,t	supθ∈[0,t	NOUN
ejpam-2456	271	4	]	]	X
ejpam-2456	271	5	|z(θ	|z(θ	NOUN
ejpam-2456	271	6	)	)	PUNCT
ejpam-2456	271	7	|	|	ADV
ejpam-2456	271	8	.	.	PUNCT
ejpam-2456	272	1	then	then	ADV
ejpam-2456	272	2	by	by	ADP
ejpam-2456	272	3	the	the	DET
ejpam-2456	272	4	nondecreasing	nondecreasing	ADJ
ejpam-2456	272	5	character	character	NOUN
ejpam-2456	272	6	of	of	ADP
ejpam-2456	272	7	ψ	ψ	PROPN
ejpam-2456	272	8	,	,	PUNCT
ejpam-2456	272	9	we	we	PRON
ejpam-2456	272	10	get	get	VERB
ejpam-2456	272	11	for	for	ADP
ejpam-2456	272	12	λ	λ	NOUN
ejpam-2456	272	13	<	<	X
ejpam-2456	272	14	1	1	NUM
ejpam-2456	272	15	and	and	CCONJ
ejpam-2456	272	16	for	for	ADP
ejpam-2456	272	17	t	t	PROPN
ejpam-2456	272	18	∈	∈	PROPN
ejpam-2456	273	1	[	[	X
ejpam-2456	273	2	0	0	NUM
ejpam-2456	273	3	,	,	PUNCT
ejpam-2456	273	4	n	n	CCONJ
ejpam-2456	273	5	]	]	PUNCT
ejpam-2456	273	6	eu(t	eu(t	PUNCT
ejpam-2456	273	7	)	)	PUNCT
ejpam-2456	273	8	λ	λ	NOUN
ejpam-2456	273	9	≤	≤	NOUN
ejpam-2456	274	1	òm	òm	INTJ
ejpam-2456	274	2	em	em	PROPN
ejpam-2456	274	3	em1n	em1n	PROPN
ejpam-2456	274	4	�	�	PROPN
ejpam-2456	274	5	|by|+	|by|+	PROPN
ejpam-2456	274	6	òmh‖φ‖b	òmh‖φ‖b	PROPN
ejpam-2456	274	7	�	�	PROPN
ejpam-2456	274	8	+	+	CCONJ
ejpam-2456	274	9	òm	òm	PRON
ejpam-2456	274	10	�	�	PROPN
ejpam-2456	274	11	òm	òm	INTJ
ejpam-2456	274	12	em	em	PRON
ejpam-2456	274	13	em1n+	em1n+	PROPN
ejpam-2456	274	14	1	1	NUM
ejpam-2456	274	15	�	�	PROPN
ejpam-2456	274	16	∫	∫	PROPN
ejpam-2456	274	17	n	n	CCONJ
ejpam-2456	274	18	0	0	NUM
ejpam-2456	274	19	p(s	p(s	NUM
ejpam-2456	274	20	)	)	PUNCT
ejpam-2456	274	21	ψ	ψ	X
ejpam-2456	274	22	�	�	PROPN
ejpam-2456	274	23	kneu(s	kneu(s	PROPN
ejpam-2456	274	24	)	)	PUNCT
ejpam-2456	274	25	λ	λ	PROPN
ejpam-2456	274	26	+	+	CCONJ
ejpam-2456	274	27	cn	cn	PROPN
ejpam-2456	274	28	�	�	PROPN
ejpam-2456	274	29	ds	ds	PROPN
ejpam-2456	274	30	.	.	PUNCT
ejpam-2456	275	1	we	we	PRON
ejpam-2456	275	2	consider	consider	VERB
ejpam-2456	275	3	the	the	DET
ejpam-2456	275	4	function	function	NOUN
ejpam-2456	275	5	µ	µ	PRON
ejpam-2456	275	6	defined	define	VERB
ejpam-2456	275	7	by	by	ADP
ejpam-2456	275	8	µ(t	µ(t	ADJ
ejpam-2456	275	9	)	)	PUNCT
ejpam-2456	275	10	=	=	SYM
ejpam-2456	275	11	sups∈[0,t	sups∈[0,t	ADJ
ejpam-2456	275	12	]	]	X
ejpam-2456	275	13	kneu(s	kneu(s	NOUN
ejpam-2456	275	14	)	)	PUNCT
ejpam-2456	275	15	λ	λ	PROPN
ejpam-2456	275	16	+	+	CCONJ
ejpam-2456	275	17	cn	cn	PROPN
ejpam-2456	275	18	for	for	ADP
ejpam-2456	275	19	t	t	PROPN
ejpam-2456	275	20	∈	∈	PROPN
ejpam-2456	275	21	j	j	PROPN
ejpam-2456	275	22	.	.	PUNCT
ejpam-2456	276	1	let	let	VERB
ejpam-2456	276	2	t	t	X
ejpam-2456	276	3	?	?	PUNCT
ejpam-2456	277	1	∈	∈	PROPN
ejpam-2456	278	1	[	[	X
ejpam-2456	278	2	0	0	NUM
ejpam-2456	278	3	,	,	PUNCT
ejpam-2456	278	4	t	t	PROPN
ejpam-2456	278	5	]	]	PUNCT
ejpam-2456	278	6	be	be	AUX
ejpam-2456	278	7	such	such	ADJ
ejpam-2456	278	8	that	that	SCONJ
ejpam-2456	278	9	µ(t	µ(t	ADJ
ejpam-2456	278	10	)	)	PUNCT
ejpam-2456	278	11	=	=	SYM
ejpam-2456	278	12	knu(t	knu(t	PROPN
ejpam-2456	278	13	?	?	PUNCT
ejpam-2456	278	14	)	)	PUNCT
ejpam-2456	279	1	λ	λ	PROPN
ejpam-2456	280	1	+	+	PROPN
ejpam-2456	281	1	cn	cn	PROPN
ejpam-2456	281	2	.	.	PUNCT
ejpam-2456	282	1	if	if	SCONJ
ejpam-2456	282	2	t	t	PROPN
ejpam-2456	282	3	?	?	PUNCT
ejpam-2456	282	4	∈	∈	PROPN
ejpam-2456	283	1	[	[	X
ejpam-2456	283	2	0	0	NUM
ejpam-2456	283	3	,	,	PUNCT
ejpam-2456	283	4	n	n	CCONJ
ejpam-2456	283	5	]	]	PUNCT
ejpam-2456	283	6	,	,	PUNCT
ejpam-2456	283	7	by	by	ADP
ejpam-2456	283	8	the	the	DET
ejpam-2456	283	9	previous	previous	ADJ
ejpam-2456	283	10	inequality	inequality	NOUN
ejpam-2456	283	11	and	and	CCONJ
ejpam-2456	283	12	the	the	DET
ejpam-2456	283	13	nondecreasing	nondecreasing	ADJ
ejpam-2456	283	14	character	character	NOUN
ejpam-2456	283	15	of	of	ADP
ejpam-2456	283	16	ψ	ψ	PROPN
ejpam-2456	283	17	,	,	PUNCT
ejpam-2456	283	18	we	we	PRON
ejpam-2456	283	19	have	have	VERB
ejpam-2456	283	20	for	for	ADP
ejpam-2456	283	21	αn	αn	NOUN
ejpam-2456	283	22	:	:	PUNCT
ejpam-2456	284	1	=	=	SYM
ejpam-2456	284	2	cn	cn	PROPN
ejpam-2456	285	1	+	+	CCONJ
ejpam-2456	285	2	knòm	knòm	VERB
ejpam-2456	285	3	em	em	PROPN
ejpam-2456	285	4	em1n	em1n	PROPN
ejpam-2456	285	5	�	�	PROPN
ejpam-2456	285	6	|by|+	|by|+	PROPN
ejpam-2456	285	7	òmh‖φ‖b	òmh‖φ‖b	PROPN
ejpam-2456	285	8	�	�	PROPN
ejpam-2456	285	9	µ(t)≤	µ(t)≤	NOUN
ejpam-2456	285	10	αn	αn	NOUN
ejpam-2456	286	1	+	+	CCONJ
ejpam-2456	286	2	knòm	knòm	PROPN
ejpam-2456	286	3	�	�	PROPN
ejpam-2456	286	4	òm	òm	ADP
ejpam-2456	286	5	em	em	PRON
ejpam-2456	286	6	em1n+	em1n+	PROPN
ejpam-2456	286	7	1	1	NUM
ejpam-2456	286	8	�	�	PROPN
ejpam-2456	286	9	∫	∫	PROPN
ejpam-2456	286	10	n	n	CCONJ
ejpam-2456	286	11	0	0	NUM
ejpam-2456	286	12	p(s	p(s	PROPN
ejpam-2456	286	13	)	)	PUNCT
ejpam-2456	286	14	ψ(µ(s	ψ(µ(s	PROPN
ejpam-2456	286	15	)	)	PUNCT
ejpam-2456	286	16	)	)	PUNCT
ejpam-2456	287	1	ds	ds	PROPN
ejpam-2456	287	2	.	.	PROPN
ejpam-2456	287	3	consequently	consequently	ADV
ejpam-2456	287	4	,	,	PUNCT
ejpam-2456	287	5	‖z‖n	‖z‖n	PROPN
ejpam-2456	287	6	αn	αn	NOUN
ejpam-2456	287	7	+	+	CCONJ
ejpam-2456	287	8	knòm	knòm	PROPN
ejpam-2456	287	9	�	�	PROPN
ejpam-2456	287	10	òm	òm	ADP
ejpam-2456	287	11	em	em	PRON
ejpam-2456	287	12	em1n+	em1n+	PROPN
ejpam-2456	287	13	1	1	NUM
ejpam-2456	287	14	�	�	PROPN
ejpam-2456	287	15	ψ(‖z‖n)‖p‖l1	ψ(‖z‖n)‖p‖l1	PUNCT
ejpam-2456	287	16	≤	≤	NUM
ejpam-2456	287	17	1	1	NUM
ejpam-2456	287	18	.	.	PUNCT
ejpam-2456	287	19	then	then	ADV
ejpam-2456	287	20	by	by	ADP
ejpam-2456	287	21	the	the	DET
ejpam-2456	287	22	condition	condition	NOUN
ejpam-2456	287	23	(	(	PUNCT
ejpam-2456	287	24	4	4	NUM
ejpam-2456	287	25	)	)	PUNCT
ejpam-2456	287	26	,	,	PUNCT
ejpam-2456	287	27	there	there	PRON
ejpam-2456	287	28	exists	exist	VERB
ejpam-2456	287	29	a	a	DET
ejpam-2456	287	30	constant	constant	ADJ
ejpam-2456	287	31	m	m	NOUN
ejpam-2456	287	32	n	n	NUM
ejpam-2456	287	33	?	?	PUNCT
ejpam-2456	288	1	such	such	ADJ
ejpam-2456	288	2	that	that	DET
ejpam-2456	288	3	µ(t)≤	µ(t)≤	NOUN
ejpam-2456	288	4	m	m	VERB
ejpam-2456	288	5	n	n	PRON
ejpam-2456	288	6	?	?	PUNCT
ejpam-2456	288	7	.	.	PUNCT
ejpam-2456	289	1	since	since	SCONJ
ejpam-2456	289	2	‖z‖n	‖z‖n	NOUN
ejpam-2456	289	3	≤	≤	NOUN
ejpam-2456	289	4	µ(t	µ(t	ADJ
ejpam-2456	289	5	)	)	PUNCT
ejpam-2456	289	6	,	,	PUNCT
ejpam-2456	289	7	we	we	PRON
ejpam-2456	289	8	have	have	AUX
ejpam-2456	289	9	‖z‖n	‖z‖n	VERB
ejpam-2456	289	10	≤	≤	NUM
ejpam-2456	289	11	m	m	NOUN
ejpam-2456	289	12	n	n	NUM
ejpam-2456	289	13	?	?	PUNCT
ejpam-2456	289	14	.	.	PUNCT
ejpam-2456	290	1	this	this	PRON
ejpam-2456	290	2	shows	show	VERB
ejpam-2456	290	3	that	that	SCONJ
ejpam-2456	290	4	the	the	DET
ejpam-2456	290	5	set	set	NOUN
ejpam-2456	290	6	e	e	NOUN
ejpam-2456	290	7	is	be	AUX
ejpam-2456	290	8	bounded	bound	VERB
ejpam-2456	290	9	,	,	PUNCT
ejpam-2456	290	10	i.e.	i.e.	X
ejpam-2456	290	11	the	the	DET
ejpam-2456	290	12	statement	statement	NOUN
ejpam-2456	290	13	d.	d.	PROPN
ejpam-2456	290	14	aoued	aoued	PROPN
ejpam-2456	290	15	,	,	PUNCT
ejpam-2456	290	16	s.	s.	PROPN
ejpam-2456	290	17	baghli	baghli	PROPN
ejpam-2456	290	18	-	-	PUNCT
ejpam-2456	290	19	bendimerad	bendimerad	PROPN
ejpam-2456	290	20	/	/	SYM
ejpam-2456	290	21	eur	eur	PROPN
ejpam-2456	290	22	.	.	PUNCT
ejpam-2456	291	1	j.	j.	PROPN
ejpam-2456	291	2	pure	pure	PROPN
ejpam-2456	291	3	appl	appl	PROPN
ejpam-2456	291	4	.	.	PROPN
ejpam-2456	291	5	math	math	PROPN
ejpam-2456	291	6	,	,	PUNCT
ejpam-2456	291	7	9	9	NUM
ejpam-2456	291	8	(	(	PUNCT
ejpam-2456	291	9	2016	2016	NUM
ejpam-2456	291	10	)	)	PUNCT
ejpam-2456	291	11	,	,	PUNCT
ejpam-2456	291	12	383	383	NUM
ejpam-2456	291	13	-	-	SYM
ejpam-2456	291	14	401	401	NUM
ejpam-2456	291	15	393	393	NUM
ejpam-2456	291	16	(	(	PUNCT
ejpam-2456	291	17	c2	c2	PROPN
ejpam-2456	291	18	)	)	PUNCT
ejpam-2456	291	19	in	in	ADP
ejpam-2456	291	20	theorem	theorem	NOUN
ejpam-2456	291	21	1	1	NUM
ejpam-2456	291	22	does	do	AUX
ejpam-2456	291	23	not	not	PART
ejpam-2456	291	24	hold	hold	VERB
ejpam-2456	291	25	.	.	PUNCT
ejpam-2456	292	1	then	then	ADV
ejpam-2456	292	2	the	the	DET
ejpam-2456	292	3	avramescu	avramescu	PROPN
ejpam-2456	292	4	’s	’s	PART
ejpam-2456	292	5	nonlinear	nonlinear	ADJ
ejpam-2456	292	6	alternative	alternative	NOUN
ejpam-2456	292	7	[	[	X
ejpam-2456	292	8	5	5	NUM
ejpam-2456	292	9	]	]	PUNCT
ejpam-2456	292	10	implies	imply	VERB
ejpam-2456	292	11	that	that	SCONJ
ejpam-2456	292	12	(	(	PUNCT
ejpam-2456	292	13	c1	c1	NOUN
ejpam-2456	292	14	)	)	PUNCT
ejpam-2456	292	15	holds	hold	VERB
ejpam-2456	292	16	:	:	PUNCT
ejpam-2456	292	17	i.e.	i.e.	X
ejpam-2456	292	18	the	the	DET
ejpam-2456	292	19	operator	operator	NOUN
ejpam-2456	292	20	f	f	NOUN
ejpam-2456	292	21	+	+	CCONJ
ejpam-2456	292	22	g	g	PROPN
ejpam-2456	292	23	has	have	VERB
ejpam-2456	292	24	a	a	DET
ejpam-2456	292	25	fixed	fix	VERB
ejpam-2456	292	26	-	-	PUNCT
ejpam-2456	292	27	point	point	NOUN
ejpam-2456	292	28	z	z	NOUN
ejpam-2456	292	29	?	?	PUNCT
ejpam-2456	292	30	.	.	PUNCT
ejpam-2456	293	1	then	then	ADV
ejpam-2456	293	2	,	,	PUNCT
ejpam-2456	293	3	there	there	PRON
ejpam-2456	293	4	exists	exist	VERB
ejpam-2456	293	5	at	at	ADP
ejpam-2456	293	6	least	least	ADJ
ejpam-2456	293	7	y?(t	y?(t	NUM
ejpam-2456	293	8	)	)	PUNCT
ejpam-2456	294	1	=	=	SYM
ejpam-2456	294	2	z?(t	z?(t	X
ejpam-2456	294	3	)	)	PUNCT
ejpam-2456	295	1	+	+	CCONJ
ejpam-2456	295	2	x(t	x(t	PROPN
ejpam-2456	295	3	)	)	PUNCT
ejpam-2456	295	4	,	,	PUNCT
ejpam-2456	295	5	t	t	PROPN
ejpam-2456	295	6	∈	∈	PROPN
ejpam-2456	295	7	r	r	NOUN
ejpam-2456	295	8	which	which	PRON
ejpam-2456	295	9	is	be	AUX
ejpam-2456	295	10	a	a	DET
ejpam-2456	295	11	fixed	fixed	ADJ
ejpam-2456	295	12	point	point	NOUN
ejpam-2456	295	13	of	of	ADP
ejpam-2456	295	14	the	the	DET
ejpam-2456	295	15	operator	operator	NOUN
ejpam-2456	295	16	n	n	NOUN
ejpam-2456	295	17	,	,	PUNCT
ejpam-2456	295	18	which	which	PRON
ejpam-2456	295	19	is	be	AUX
ejpam-2456	295	20	a	a	DET
ejpam-2456	295	21	mild	mild	ADJ
ejpam-2456	295	22	solution	solution	NOUN
ejpam-2456	295	23	of	of	ADP
ejpam-2456	295	24	the	the	DET
ejpam-2456	295	25	problem	problem	NOUN
ejpam-2456	295	26	(	(	PUNCT
ejpam-2456	295	27	1	1	NUM
ejpam-2456	295	28	)	)	PUNCT
ejpam-2456	295	29	.	.	PUNCT
ejpam-2456	296	1	thus	thus	ADV
ejpam-2456	296	2	the	the	DET
ejpam-2456	296	3	evolution	evolution	NOUN
ejpam-2456	296	4	system	system	NOUN
ejpam-2456	296	5	(	(	PUNCT
ejpam-2456	296	6	1	1	X
ejpam-2456	296	7	)	)	PUNCT
ejpam-2456	296	8	is	be	AUX
ejpam-2456	296	9	controllable	controllable	ADJ
ejpam-2456	296	10	on	on	ADP
ejpam-2456	296	11	r.	r.	PROPN
ejpam-2456	296	12	then	then	ADV
ejpam-2456	296	13	,	,	PUNCT
ejpam-2456	296	14	the	the	DET
ejpam-2456	296	15	proof	proof	NOUN
ejpam-2456	296	16	is	be	AUX
ejpam-2456	296	17	complete	complete	ADJ
ejpam-2456	296	18	.	.	PUNCT
ejpam-2456	297	1	4	4	X
ejpam-2456	297	2	.	.	X
ejpam-2456	297	3	semilinear	semilinear	ADJ
ejpam-2456	297	4	neutral	neutral	ADJ
ejpam-2456	297	5	evolution	evolution	NOUN
ejpam-2456	297	6	equations	equation	NOUN
ejpam-2456	297	7	before	before	ADP
ejpam-2456	297	8	stating	state	VERB
ejpam-2456	297	9	and	and	CCONJ
ejpam-2456	297	10	proving	prove	VERB
ejpam-2456	297	11	our	our	PRON
ejpam-2456	297	12	second	second	ADJ
ejpam-2456	297	13	main	main	ADJ
ejpam-2456	297	14	result	result	NOUN
ejpam-2456	297	15	,	,	PUNCT
ejpam-2456	297	16	we	we	PRON
ejpam-2456	297	17	define	define	VERB
ejpam-2456	297	18	firstly	firstly	ADV
ejpam-2456	297	19	the	the	DET
ejpam-2456	297	20	corresponding	corresponding	ADJ
ejpam-2456	297	21	mild	mild	ADJ
ejpam-2456	297	22	solution	solution	NOUN
ejpam-2456	297	23	then	then	ADV
ejpam-2456	297	24	we	we	PRON
ejpam-2456	297	25	define	define	VERB
ejpam-2456	297	26	the	the	DET
ejpam-2456	297	27	concept	concept	NOUN
ejpam-2456	297	28	of	of	ADP
ejpam-2456	297	29	controllability	controllability	NOUN
ejpam-2456	297	30	for	for	ADP
ejpam-2456	297	31	that	that	DET
ejpam-2456	297	32	problem	problem	NOUN
ejpam-2456	297	33	.	.	PUNCT
ejpam-2456	298	1	definition	definition	NOUN
ejpam-2456	298	2	5	5	NUM
ejpam-2456	298	3	.	.	PUNCT
ejpam-2456	299	1	we	we	PRON
ejpam-2456	299	2	say	say	VERB
ejpam-2456	299	3	that	that	SCONJ
ejpam-2456	299	4	the	the	DET
ejpam-2456	299	5	function	function	NOUN
ejpam-2456	299	6	y	y	PROPN
ejpam-2456	299	7	(	(	PUNCT
ejpam-2456	299	8	·	·	PUNCT
ejpam-2456	299	9	)	)	PUNCT
ejpam-2456	299	10	:	:	PUNCT
ejpam-2456	300	1	r→	r→	PROPN
ejpam-2456	300	2	e	e	PROPN
ejpam-2456	300	3	is	be	AUX
ejpam-2456	300	4	a	a	DET
ejpam-2456	300	5	mild	mild	ADJ
ejpam-2456	300	6	solution	solution	NOUN
ejpam-2456	300	7	of	of	ADP
ejpam-2456	300	8	(	(	PUNCT
ejpam-2456	300	9	2	2	X
ejpam-2456	300	10	)	)	PUNCT
ejpam-2456	300	11	if	if	SCONJ
ejpam-2456	300	12	y(t	y(t	NUM
ejpam-2456	300	13	)	)	PUNCT
ejpam-2456	300	14	=	=	SYM
ejpam-2456	300	15	φ(t	φ(t	PROPN
ejpam-2456	300	16	)	)	PUNCT
ejpam-2456	300	17	for	for	ADP
ejpam-2456	300	18	all	all	DET
ejpam-2456	300	19	t	t	NOUN
ejpam-2456	300	20	≤	≤	NOUN
ejpam-2456	300	21	0	0	PUNCT
ejpam-2456	300	22	and	and	CCONJ
ejpam-2456	300	23	y	y	PROPN
ejpam-2456	300	24	satisfies	satisfy	VERB
ejpam-2456	300	25	the	the	DET
ejpam-2456	300	26	following	follow	VERB
ejpam-2456	300	27	integral	integral	ADJ
ejpam-2456	300	28	equation	equation	NOUN
ejpam-2456	300	29	y(t	y(t	NUM
ejpam-2456	300	30	)	)	PUNCT
ejpam-2456	301	1	=	=	SYM
ejpam-2456	301	2	u(t	u(t	NOUN
ejpam-2456	301	3	,	,	PUNCT
ejpam-2456	301	4	0)[φ(0)−	0)[φ(0)−	NUM
ejpam-2456	301	5	g(0,φ	g(0,φ	NOUN
ejpam-2456	301	6	)	)	PUNCT
ejpam-2456	301	7	]	]	PUNCT
ejpam-2456	302	1	+	+	CCONJ
ejpam-2456	302	2	g(t	g(t	PROPN
ejpam-2456	302	3	,	,	PUNCT
ejpam-2456	302	4	yρ(t	yρ(t	NUM
ejpam-2456	302	5	,	,	PUNCT
ejpam-2456	302	6	yt	yt	NOUN
ejpam-2456	302	7	)	)	PUNCT
ejpam-2456	302	8	)	)	PUNCT
ejpam-2456	303	1	+	+	CCONJ
ejpam-2456	303	2	∫	∫	PROPN
ejpam-2456	303	3	t	t	NOUN
ejpam-2456	303	4	0	0	NUM
ejpam-2456	303	5	u(t	u(t	NOUN
ejpam-2456	303	6	,	,	PUNCT
ejpam-2456	303	7	s)a(s)g(s	s)a(s)g(s	NOUN
ejpam-2456	303	8	,	,	PUNCT
ejpam-2456	303	9	yρ(s	yρ(s	NOUN
ejpam-2456	303	10	,	,	PUNCT
ejpam-2456	303	11	ys))ds	ys))ds	PROPN
ejpam-2456	303	12	+	+	CCONJ
ejpam-2456	303	13	∫	∫	PROPN
ejpam-2456	303	14	t	t	PROPN
ejpam-2456	303	15	0	0	NUM
ejpam-2456	303	16	u(t	u(t	NOUN
ejpam-2456	303	17	,	,	PUNCT
ejpam-2456	303	18	s)cu(s)ds+	s)cu(s)ds+	X
ejpam-2456	304	1	∫	∫	PROPN
ejpam-2456	304	2	t	t	NOUN
ejpam-2456	304	3	0	0	NUM
ejpam-2456	304	4	u(t	u(t	PROPN
ejpam-2456	304	5	,	,	PUNCT
ejpam-2456	304	6	s	s	NOUN
ejpam-2456	304	7	)	)	PUNCT
ejpam-2456	304	8	f	f	NOUN
ejpam-2456	304	9	(	(	PUNCT
ejpam-2456	304	10	s	s	PROPN
ejpam-2456	304	11	,	,	PUNCT
ejpam-2456	304	12	yρ(s	yρ(s	NOUN
ejpam-2456	304	13	,	,	PUNCT
ejpam-2456	304	14	ys))ds	ys))ds	PROPN
ejpam-2456	304	15	,	,	PUNCT
ejpam-2456	304	16	(	(	PUNCT
ejpam-2456	304	17	10	10	NUM
ejpam-2456	304	18	)	)	PUNCT
ejpam-2456	304	19	for	for	ADP
ejpam-2456	304	20	each	each	DET
ejpam-2456	304	21	t	t	PROPN
ejpam-2456	304	22	≥	≥	NOUN
ejpam-2456	304	23	0	0	NUM
ejpam-2456	304	24	.	.	PUNCT
ejpam-2456	305	1	definition	definition	NOUN
ejpam-2456	305	2	6	6	NUM
ejpam-2456	305	3	.	.	PUNCT
ejpam-2456	306	1	the	the	DET
ejpam-2456	306	2	neutral	neutral	ADJ
ejpam-2456	306	3	evolution	evolution	NOUN
ejpam-2456	306	4	problem	problem	NOUN
ejpam-2456	306	5	(	(	PUNCT
ejpam-2456	306	6	2	2	X
ejpam-2456	306	7	)	)	PUNCT
ejpam-2456	306	8	is	be	AUX
ejpam-2456	306	9	said	say	VERB
ejpam-2456	306	10	to	to	PART
ejpam-2456	306	11	be	be	AUX
ejpam-2456	306	12	controllable	controllable	ADJ
ejpam-2456	306	13	if	if	SCONJ
ejpam-2456	306	14	for	for	ADP
ejpam-2456	306	15	every	every	DET
ejpam-2456	306	16	initial	initial	ADJ
ejpam-2456	306	17	function	function	NOUN
ejpam-2456	306	18	φ	φ	PROPN
ejpam-2456	306	19	∈	∈	PROPN
ejpam-2456	306	20	b	b	PROPN
ejpam-2456	306	21	,	,	PUNCT
ejpam-2456	306	22	y∗	y∗	PROPN
ejpam-2456	306	23	∈	∈	PROPN
ejpam-2456	306	24	e	e	X
ejpam-2456	306	25	and	and	CCONJ
ejpam-2456	306	26	n	n	CCONJ
ejpam-2456	306	27	∈	∈	PROPN
ejpam-2456	306	28	n	n	CCONJ
ejpam-2456	306	29	,	,	PUNCT
ejpam-2456	306	30	there	there	PRON
ejpam-2456	306	31	is	be	VERB
ejpam-2456	306	32	some	some	DET
ejpam-2456	306	33	control	control	NOUN
ejpam-2456	306	34	u	u	NOUN
ejpam-2456	306	35	∈	∈	PROPN
ejpam-2456	306	36	l2([0	l2([0	PROPN
ejpam-2456	306	37	,	,	PUNCT
ejpam-2456	306	38	n	n	CCONJ
ejpam-2456	306	39	]	]	PUNCT
ejpam-2456	306	40	;	;	PUNCT
ejpam-2456	307	1	e	e	X
ejpam-2456	307	2	)	)	PUNCT
ejpam-2456	307	3	such	such	ADJ
ejpam-2456	307	4	that	that	SCONJ
ejpam-2456	307	5	the	the	DET
ejpam-2456	307	6	mild	mild	ADJ
ejpam-2456	307	7	solution	solution	NOUN
ejpam-2456	307	8	y	y	PROPN
ejpam-2456	307	9	(	(	PUNCT
ejpam-2456	307	10	·	·	PUNCT
ejpam-2456	307	11	)	)	PUNCT
ejpam-2456	307	12	of	of	ADP
ejpam-2456	307	13	(	(	PUNCT
ejpam-2456	307	14	2	2	X
ejpam-2456	307	15	)	)	PUNCT
ejpam-2456	307	16	satisfies	satisfy	VERB
ejpam-2456	307	17	y(n	y(n	PRON
ejpam-2456	307	18	)	)	PUNCT
ejpam-2456	308	1	=	=	SYM
ejpam-2456	308	2	y∗.	y∗.	NUM
ejpam-2456	308	3	we	we	PRON
ejpam-2456	308	4	consider	consider	VERB
ejpam-2456	308	5	the	the	DET
ejpam-2456	308	6	function	function	NOUN
ejpam-2456	308	7	ρ	ρ	NOUN
ejpam-2456	308	8	:	:	PUNCT
ejpam-2456	308	9	j	j	X
ejpam-2456	308	10	×b	×b	NOUN
ejpam-2456	308	11	−→	−→	NOUN
ejpam-2456	308	12	r	r	NOUN
ejpam-2456	308	13	satisfies	satisfy	VERB
ejpam-2456	308	14	the	the	DET
ejpam-2456	308	15	hypothesis	hypothesis	NOUN
ejpam-2456	308	16	(	(	PUNCT
ejpam-2456	308	17	hφ	hφ	PROPN
ejpam-2456	308	18	)	)	PUNCT
ejpam-2456	308	19	and	and	CCONJ
ejpam-2456	308	20	the	the	DET
ejpam-2456	308	21	lemma	lemma	PROPN
ejpam-2456	308	22	1	1	NUM
ejpam-2456	308	23	.	.	PUNCT
ejpam-2456	309	1	we	we	PRON
ejpam-2456	309	2	assume	assume	VERB
ejpam-2456	309	3	here	here	ADV
ejpam-2456	309	4	that	that	SCONJ
ejpam-2456	309	5	the	the	DET
ejpam-2456	309	6	hypotheses	hypothesis	NOUN
ejpam-2456	309	7	(	(	PUNCT
ejpam-2456	309	8	h0)-(h4	h0)-(h4	NOUN
ejpam-2456	309	9	)	)	PUNCT
ejpam-2456	309	10	hold	hold	VERB
ejpam-2456	309	11	and	and	CCONJ
ejpam-2456	309	12	we	we	PRON
ejpam-2456	309	13	will	will	AUX
ejpam-2456	309	14	need	need	VERB
ejpam-2456	309	15	the	the	DET
ejpam-2456	309	16	following	follow	VERB
ejpam-2456	309	17	assumptions	assumption	NOUN
ejpam-2456	309	18	:	:	PUNCT
ejpam-2456	309	19	(	(	PUNCT
ejpam-2456	309	20	h5	h5	PROPN
ejpam-2456	309	21	)	)	PUNCT
ejpam-2456	309	22	there	there	PRON
ejpam-2456	309	23	exists	exist	VERB
ejpam-2456	309	24	a	a	DET
ejpam-2456	309	25	constant	constant	ADJ
ejpam-2456	309	26	m0	m0	NOUN
ejpam-2456	309	27	>	>	X
ejpam-2456	309	28	0	0	NUM
ejpam-2456	309	29	such	such	ADJ
ejpam-2456	309	30	that	that	DET
ejpam-2456	309	31	‖a−1(t)‖b(e	‖a−1(t)‖b(e	NOUN
ejpam-2456	309	32	)	)	PUNCT
ejpam-2456	309	33	≤	≤	NUM
ejpam-2456	309	34	m0	m0	NOUN
ejpam-2456	309	35	for	for	ADP
ejpam-2456	309	36	all	all	PRON
ejpam-2456	309	37	t	t	NOUN
ejpam-2456	309	38	∈	∈	PROPN
ejpam-2456	310	1	j	j	PROPN
ejpam-2456	310	2	.	.	PUNCT
ejpam-2456	311	1	(	(	PUNCT
ejpam-2456	311	2	h6	h6	PROPN
ejpam-2456	311	3	)	)	PUNCT
ejpam-2456	311	4	there	there	PRON
ejpam-2456	311	5	exists	exist	VERB
ejpam-2456	311	6	a	a	DET
ejpam-2456	311	7	constant	constant	ADJ
ejpam-2456	311	8	0	0	NUM
ejpam-2456	311	9	<	<	X
ejpam-2456	311	10	l	l	X
ejpam-2456	311	11	<	<	X
ejpam-2456	311	12	1	1	NUM
ejpam-2456	311	13	m0kn	m0kn	NOUN
ejpam-2456	311	14	,	,	PUNCT
ejpam-2456	311	15	such	such	ADJ
ejpam-2456	311	16	that	that	PRON
ejpam-2456	311	17	|a(t	|a(t	NOUN
ejpam-2456	311	18	)	)	PUNCT
ejpam-2456	311	19	g(t	g(t	PROPN
ejpam-2456	311	20	,	,	PUNCT
ejpam-2456	311	21	φ)|	φ)|	VERB
ejpam-2456	311	22	≤	≤	ADJ
ejpam-2456	311	23	l	l	NOUN
ejpam-2456	311	24	(	(	PUNCT
ejpam-2456	311	25	‖φ‖b	‖φ‖b	VERB
ejpam-2456	311	26	+	+	NOUN
ejpam-2456	311	27	1	1	X
ejpam-2456	311	28	)	)	PUNCT
ejpam-2456	311	29	for	for	ADP
ejpam-2456	311	30	all	all	DET
ejpam-2456	311	31	t	t	NOUN
ejpam-2456	311	32	∈	∈	PROPN
ejpam-2456	311	33	j	j	PROPN
ejpam-2456	311	34	and	and	CCONJ
ejpam-2456	311	35	φ	φ	PROPN
ejpam-2456	311	36	∈b	∈b	PROPN
ejpam-2456	311	37	.	.	PUNCT
ejpam-2456	312	1	(	(	PUNCT
ejpam-2456	312	2	h7	h7	PROPN
ejpam-2456	312	3	)	)	PUNCT
ejpam-2456	312	4	there	there	PRON
ejpam-2456	312	5	exists	exist	VERB
ejpam-2456	312	6	a	a	DET
ejpam-2456	312	7	constant	constant	ADJ
ejpam-2456	312	8	l∗	l∗	NOUN
ejpam-2456	312	9	>	>	X
ejpam-2456	312	10	0	0	NUM
ejpam-2456	313	1	such	such	ADJ
ejpam-2456	313	2	that	that	SCONJ
ejpam-2456	313	3	|a(s	|a(s	PROPN
ejpam-2456	313	4	)	)	PUNCT
ejpam-2456	313	5	g(s	g(s	PROPN
ejpam-2456	313	6	,	,	PUNCT
ejpam-2456	313	7	φ)−	φ)−	PROPN
ejpam-2456	313	8	a(s	a(s	PROPN
ejpam-2456	313	9	)	)	PUNCT
ejpam-2456	313	10	g(s	g(s	PROPN
ejpam-2456	313	11	,	,	PUNCT
ejpam-2456	313	12	φ)|	φ)|	VERB
ejpam-2456	313	13	≤	≤	ADJ
ejpam-2456	313	14	l∗	l∗	PROPN
ejpam-2456	313	15	(	(	PUNCT
ejpam-2456	313	16	|s−	|s−	ADJ
ejpam-2456	313	17	s|+	s|+	NOUN
ejpam-2456	313	18	‖φ	‖φ	NOUN
ejpam-2456	313	19	−φ‖b	−φ‖b	NOUN
ejpam-2456	313	20	)	)	PUNCT
ejpam-2456	313	21	for	for	ADP
ejpam-2456	313	22	all	all	DET
ejpam-2456	313	23	s	s	PROPN
ejpam-2456	313	24	,	,	PUNCT
ejpam-2456	313	25	s	s	VERB
ejpam-2456	313	26	∈	∈	PROPN
ejpam-2456	313	27	j	j	PROPN
ejpam-2456	313	28	and	and	CCONJ
ejpam-2456	313	29	φ	φ	PROPN
ejpam-2456	313	30	,	,	PUNCT
ejpam-2456	313	31	φ	φ	PROPN
ejpam-2456	313	32	∈b	∈b	PROPN
ejpam-2456	313	33	.	.	PUNCT
ejpam-2456	314	1	(	(	PUNCT
ejpam-2456	314	2	h8	h8	PROPN
ejpam-2456	314	3	)	)	PUNCT
ejpam-2456	314	4	the	the	DET
ejpam-2456	314	5	function	function	NOUN
ejpam-2456	314	6	g	g	PROPN
ejpam-2456	314	7	is	be	AUX
ejpam-2456	314	8	completely	completely	ADV
ejpam-2456	314	9	continuous	continuous	ADJ
ejpam-2456	314	10	and	and	CCONJ
ejpam-2456	314	11	for	for	ADP
ejpam-2456	314	12	each	each	DET
ejpam-2456	314	13	bounded	bound	VERB
ejpam-2456	314	14	sub	sub	ADJ
ejpam-2456	314	15	-	-	ADJ
ejpam-2456	314	16	set	set	ADJ
ejpam-2456	314	17	q	q	PROPN
ejpam-2456	314	18	⊂	⊂	PROPN
ejpam-2456	314	19	b	b	PROPN
ejpam-2456	314	20	,	,	PUNCT
ejpam-2456	314	21	the	the	DET
ejpam-2456	314	22	mapping	mapping	NOUN
ejpam-2456	314	23	{	{	PUNCT
ejpam-2456	314	24	t	t	PROPN
ejpam-2456	314	25	−→	−→	PROPN
ejpam-2456	314	26	g(t	g(t	PROPN
ejpam-2456	314	27	,	,	PUNCT
ejpam-2456	314	28	xρ(s	xρ(s	NUM
ejpam-2456	314	29	,	,	PUNCT
ejpam-2456	314	30	ys	ys	NOUN
ejpam-2456	314	31	)	)	PUNCT
ejpam-2456	314	32	)	)	PUNCT
ejpam-2456	314	33	}	}	PUNCT
ejpam-2456	314	34	is	be	AUX
ejpam-2456	314	35	equicontinous	equicontinous	ADJ
ejpam-2456	314	36	in	in	ADP
ejpam-2456	314	37	c(j	c(j	PROPN
ejpam-2456	314	38	,	,	PUNCT
ejpam-2456	314	39	e	e	NOUN
ejpam-2456	314	40	)	)	PUNCT
ejpam-2456	314	41	.	.	PUNCT
ejpam-2456	315	1	d.	d.	PROPN
ejpam-2456	315	2	aoued	aoued	PROPN
ejpam-2456	315	3	,	,	PUNCT
ejpam-2456	315	4	s.	s.	PROPN
ejpam-2456	315	5	baghli	baghli	PROPN
ejpam-2456	315	6	-	-	PUNCT
ejpam-2456	315	7	bendimerad	bendimerad	PROPN
ejpam-2456	315	8	/	/	SYM
ejpam-2456	315	9	eur	eur	PROPN
ejpam-2456	315	10	.	.	PUNCT
ejpam-2456	316	1	j.	j.	PROPN
ejpam-2456	316	2	pure	pure	PROPN
ejpam-2456	316	3	appl	appl	PROPN
ejpam-2456	316	4	.	.	PROPN
ejpam-2456	316	5	math	math	PROPN
ejpam-2456	316	6	,	,	PUNCT
ejpam-2456	316	7	9	9	NUM
ejpam-2456	316	8	(	(	PUNCT
ejpam-2456	316	9	2016	2016	NUM
ejpam-2456	316	10	)	)	PUNCT
ejpam-2456	316	11	,	,	PUNCT
ejpam-2456	316	12	383	383	NUM
ejpam-2456	316	13	-	-	SYM
ejpam-2456	316	14	401	401	NUM
ejpam-2456	316	15	394	394	NUM
ejpam-2456	316	16	theorem	theorem	NOUN
ejpam-2456	316	17	3	3	NUM
ejpam-2456	316	18	.	.	PUNCT
ejpam-2456	316	19	suppose	suppose	VERB
ejpam-2456	316	20	that	that	SCONJ
ejpam-2456	316	21	hypotheses	hypothesis	NOUN
ejpam-2456	316	22	(	(	PUNCT
ejpam-2456	316	23	h0)-(h8	h0)-(h8	ADV
ejpam-2456	316	24	)	)	PUNCT
ejpam-2456	316	25	are	be	AUX
ejpam-2456	316	26	satisfied	satisfied	ADJ
ejpam-2456	316	27	and	and	CCONJ
ejpam-2456	316	28	moreover	moreover	ADV
ejpam-2456	316	29	m	m	ADJ
ejpam-2456	316	30	?	?	PUNCT
ejpam-2456	316	31	?	?	PUNCT
ejpam-2456	317	1	γn	γn	PRON
ejpam-2456	317	2	+	+	CCONJ
ejpam-2456	317	3	knòm	knòm	PROPN
ejpam-2456	317	4	1−m0	1−m0	NUM
ejpam-2456	317	5	lkn	lkn	PROPN
ejpam-2456	317	6	�	�	PROPN
ejpam-2456	318	1	òm	òm	ADP
ejpam-2456	318	2	em	em	PRON
ejpam-2456	318	3	em1n+	em1n+	PROPN
ejpam-2456	318	4	1	1	NUM
ejpam-2456	318	5	�	�	PROPN
ejpam-2456	318	6	�	�	PROPN
ejpam-2456	318	7	m	m	PROPN
ejpam-2456	318	8	?	?	PUNCT
ejpam-2456	318	9	?	?	PUNCT
ejpam-2456	319	1	+	+	PUNCT
ejpam-2456	319	2	ψ(m	ψ(m	NOUN
ejpam-2456	319	3	?	?	PUNCT
ejpam-2456	319	4	?	?	PUNCT
ejpam-2456	319	5	)	)	PUNCT
ejpam-2456	319	6	�	�	PROPN
ejpam-2456	319	7	ψ(‖z‖n)‖ζ‖l1	ψ(‖z‖n)‖ζ‖l1	PUNCT
ejpam-2456	319	8	>	>	X
ejpam-2456	319	9	1	1	NUM
ejpam-2456	319	10	,	,	PUNCT
ejpam-2456	319	11	(	(	PUNCT
ejpam-2456	319	12	11	11	NUM
ejpam-2456	319	13	)	)	PUNCT
ejpam-2456	319	14	where	where	SCONJ
ejpam-2456	319	15	ζ(t	ζ(t	VERB
ejpam-2456	319	16	)	)	PUNCT
ejpam-2456	319	17	=	=	SYM
ejpam-2456	319	18	max(l	max(l	PROPN
ejpam-2456	319	19	;	;	PUNCT
ejpam-2456	319	20	p(t	p(t	NOUN
ejpam-2456	319	21	)	)	PUNCT
ejpam-2456	319	22	)	)	PUNCT
ejpam-2456	319	23	and	and	CCONJ
ejpam-2456	319	24	γn	γn	X
ejpam-2456	319	25	=	=	SYM
ejpam-2456	319	26	(	(	PUNCT
ejpam-2456	319	27	mn	mn	PROPN
ejpam-2456	319	28	+	+	PROPN
ejpam-2456	319	29	l	l	X
ejpam-2456	319	30	φ	φ	NOUN
ejpam-2456	319	31	+	+	CCONJ
ejpam-2456	319	32	knòmh)‖φ‖b	knòmh)‖φ‖b	NOUN
ejpam-2456	319	33	+	+	CCONJ
ejpam-2456	319	34	knβn	knβn	NOUN
ejpam-2456	319	35	1−m0	1−m0	NUM
ejpam-2456	319	36	lkn	lkn	VERB
ejpam-2456	319	37	with	with	ADP
ejpam-2456	319	38	βn	βn	NOUN
ejpam-2456	319	39	=	=	SYM
ejpam-2456	319	40	�	�	PROPN
ejpam-2456	319	41	(	(	PUNCT
ejpam-2456	319	42	òm	òm	INTJ
ejpam-2456	320	1	+	+	NUM
ejpam-2456	320	2	1)m0	1)m0	NUM
ejpam-2456	320	3	l	l	NOUN
ejpam-2456	320	4	+	+	CCONJ
ejpam-2456	320	5	òm	òm	PRON
ejpam-2456	320	6	ln	ln	ADJ
ejpam-2456	320	7	�	�	PROPN
ejpam-2456	320	8	�	�	PROPN
ejpam-2456	320	9	òm	òm	ADP
ejpam-2456	320	10	em	em	PRON
ejpam-2456	320	11	em1n+	em1n+	PROPN
ejpam-2456	320	12	1	1	NUM
ejpam-2456	320	13	�	�	NOUN
ejpam-2456	320	14	+	+	CCONJ
ejpam-2456	320	15	òm	òm	INTJ
ejpam-2456	320	16	em	em	PROPN
ejpam-2456	320	17	em1n	em1n	PROPN
ejpam-2456	320	18	�	�	PROPN
ejpam-2456	320	19	1	1	NUM
ejpam-2456	320	20	+	+	PROPN
ejpam-2456	320	21	knm0	knm0	PROPN
ejpam-2456	320	22	l	l	PROPN
ejpam-2456	320	23	�	�	PROPN
ejpam-2456	320	24	|by|	|by|	PROPN
ejpam-2456	320	25	+	+	PROPN
ejpam-2456	320	26	�	�	PROPN
ejpam-2456	320	27	�	�	PROPN
ejpam-2456	320	28	òm	òm	ADP
ejpam-2456	320	29	em	em	PRON
ejpam-2456	320	30	em1n+	em1n+	PROPN
ejpam-2456	320	31	1	1	NUM
ejpam-2456	320	32	�	�	PROPN
ejpam-2456	320	33	m0	m0	PROPN
ejpam-2456	320	34	l	l	PROPN
ejpam-2456	320	35	�	�	PROPN
ejpam-2456	321	1	òm	òm	PROPN
ejpam-2456	321	2	+	+	PROPN
ejpam-2456	321	3	mn	mn	PROPN
ejpam-2456	321	4	+	+	PROPN
ejpam-2456	321	5	l	l	PROPN
ejpam-2456	321	6	φ	φ	PROPN
ejpam-2456	321	7	�	�	PROPN
ejpam-2456	321	8	+	+	NUM
ejpam-2456	321	9	òmh	òmh	PROPN
ejpam-2456	321	10	�	�	PROPN
ejpam-2456	321	11	òm	òm	ADP
ejpam-2456	321	12	em	em	PROPN
ejpam-2456	321	13	em1n+m0	em1n+m0	PROPN
ejpam-2456	321	14	lkn	lkn	PROPN
ejpam-2456	321	15	�	�	PROPN
ejpam-2456	321	16	�	�	PROPN
ejpam-2456	321	17	‖φ‖b	‖φ‖b	NOUN
ejpam-2456	321	18	.	.	PUNCT
ejpam-2456	322	1	then	then	ADV
ejpam-2456	322	2	the	the	DET
ejpam-2456	322	3	neutral	neutral	ADJ
ejpam-2456	322	4	evolution	evolution	NOUN
ejpam-2456	322	5	problem	problem	NOUN
ejpam-2456	322	6	(	(	PUNCT
ejpam-2456	322	7	2	2	X
ejpam-2456	322	8	)	)	PUNCT
ejpam-2456	322	9	is	be	AUX
ejpam-2456	322	10	controllable	controllable	ADJ
ejpam-2456	322	11	on	on	ADP
ejpam-2456	322	12	r.	r.	PROPN
ejpam-2456	322	13	proof	proof	NOUN
ejpam-2456	322	14	.	.	PUNCT
ejpam-2456	323	1	consider	consider	VERB
ejpam-2456	323	2	the	the	DET
ejpam-2456	323	3	operator	operator	NOUN
ejpam-2456	323	4	en	en	X
ejpam-2456	323	5	:	:	PUNCT
ejpam-2456	323	6	b+∞→	b+∞→	PROPN
ejpam-2456	323	7	b+∞	b+∞	PROPN
ejpam-2456	323	8	defined	define	VERB
ejpam-2456	323	9	by	by	ADP
ejpam-2456	323	10	:	:	PUNCT
ejpam-2456	323	11	en(y)(t	en(y)(t	NUM
ejpam-2456	323	12	)	)	PUNCT
ejpam-2456	323	13	=	=	PUNCT
ejpam-2456	323	14			PROPN
ejpam-2456	323	15			VERB
ejpam-2456	323	16			PRON
ejpam-2456	323	17			PROPN
ejpam-2456	323	18			PROPN
ejpam-2456	323	19	φ(t	φ(t	PROPN
ejpam-2456	323	20	)	)	PUNCT
ejpam-2456	323	21	if	if	SCONJ
ejpam-2456	323	22	t	t	PRON
ejpam-2456	323	23	≤	≤	NUM
ejpam-2456	323	24	0	0	NUM
ejpam-2456	323	25	;	;	PUNCT
ejpam-2456	323	26	u(t	u(t	NOUN
ejpam-2456	323	27	,	,	PUNCT
ejpam-2456	323	28	0	0	NUM
ejpam-2456	323	29	)	)	PUNCT
ejpam-2456	324	1	[	[	X
ejpam-2456	324	2	φ(0)−	φ(0)−	NUM
ejpam-2456	324	3	g(0,φ	g(0,φ	NOUN
ejpam-2456	324	4	)	)	PUNCT
ejpam-2456	324	5	]	]	PUNCT
ejpam-2456	325	1	+	+	CCONJ
ejpam-2456	325	2	g(t	g(t	PROPN
ejpam-2456	325	3	,	,	PUNCT
ejpam-2456	325	4	yρ(t	yρ(t	NUM
ejpam-2456	325	5	,	,	PUNCT
ejpam-2456	325	6	yt	yt	NOUN
ejpam-2456	325	7	)	)	PUNCT
ejpam-2456	325	8	)	)	PUNCT
ejpam-2456	326	1	+	+	CCONJ
ejpam-2456	326	2	∫	∫	PROPN
ejpam-2456	326	3	t	t	NOUN
ejpam-2456	326	4	0	0	NUM
ejpam-2456	326	5	u(t	u(t	NOUN
ejpam-2456	326	6	,	,	PUNCT
ejpam-2456	326	7	s)a(s)g(s	s)a(s)g(s	NOUN
ejpam-2456	326	8	,	,	PUNCT
ejpam-2456	326	9	yρ(s	yρ(s	NOUN
ejpam-2456	326	10	,	,	PUNCT
ejpam-2456	326	11	ys))ds	ys))ds	PROPN
ejpam-2456	326	12	+	+	CCONJ
ejpam-2456	326	13	∫	∫	PROPN
ejpam-2456	326	14	t	t	PROPN
ejpam-2456	326	15	0	0	NUM
ejpam-2456	326	16	u(t	u(t	NOUN
ejpam-2456	326	17	,	,	PUNCT
ejpam-2456	326	18	s)cu(s)ds+	s)cu(s)ds+	X
ejpam-2456	327	1	∫	∫	PROPN
ejpam-2456	327	2	t	t	NOUN
ejpam-2456	327	3	0	0	NUM
ejpam-2456	327	4	u(t	u(t	PROPN
ejpam-2456	327	5	,	,	PUNCT
ejpam-2456	327	6	s	s	NOUN
ejpam-2456	327	7	)	)	PUNCT
ejpam-2456	327	8	f	f	NOUN
ejpam-2456	327	9	(	(	PUNCT
ejpam-2456	327	10	s	s	PROPN
ejpam-2456	327	11	,	,	PUNCT
ejpam-2456	327	12	yρ(s	yρ(s	PROPN
ejpam-2456	327	13	,	,	PUNCT
ejpam-2456	327	14	ys))ds	ys))ds	PROPN
ejpam-2456	327	15	if	if	SCONJ
ejpam-2456	327	16	t	t	PROPN
ejpam-2456	327	17	∈	∈	PROPN
ejpam-2456	327	18	j	j	PROPN
ejpam-2456	327	19	.	.	PUNCT
ejpam-2456	328	1	then	then	ADV
ejpam-2456	328	2	,	,	PUNCT
ejpam-2456	328	3	fixed	fix	VERB
ejpam-2456	328	4	points	point	NOUN
ejpam-2456	328	5	of	of	ADP
ejpam-2456	328	6	the	the	DET
ejpam-2456	328	7	operator	operator	NOUN
ejpam-2456	328	8	en	en	X
ejpam-2456	328	9	are	be	AUX
ejpam-2456	328	10	mild	mild	ADJ
ejpam-2456	328	11	solutions	solution	NOUN
ejpam-2456	328	12	of	of	ADP
ejpam-2456	328	13	the	the	DET
ejpam-2456	328	14	problem	problem	NOUN
ejpam-2456	328	15	(	(	PUNCT
ejpam-2456	328	16	2	2	NUM
ejpam-2456	328	17	)	)	PUNCT
ejpam-2456	328	18	.	.	PUNCT
ejpam-2456	329	1	using	use	VERB
ejpam-2456	329	2	assumption	assumption	NOUN
ejpam-2456	329	3	(	(	PUNCT
ejpam-2456	329	4	h4	h4	PROPN
ejpam-2456	329	5	)	)	PUNCT
ejpam-2456	329	6	,	,	PUNCT
ejpam-2456	329	7	for	for	ADP
ejpam-2456	329	8	arbitrary	arbitrary	ADJ
ejpam-2456	329	9	function	function	NOUN
ejpam-2456	329	10	y	y	PROPN
ejpam-2456	329	11	(	(	PUNCT
ejpam-2456	329	12	·	·	PUNCT
ejpam-2456	329	13	)	)	PUNCT
ejpam-2456	329	14	,	,	PUNCT
ejpam-2456	329	15	we	we	PRON
ejpam-2456	329	16	define	define	VERB
ejpam-2456	329	17	the	the	DET
ejpam-2456	329	18	control	control	NOUN
ejpam-2456	329	19	uy(t	uy(t	PUNCT
ejpam-2456	329	20	)	)	PUNCT
ejpam-2456	330	1	=	=	SYM
ejpam-2456	330	2	w̃−1	w̃−1	PROPN
ejpam-2456	330	3	�	�	PROPN
ejpam-2456	330	4	y∗	y∗	ADV
ejpam-2456	330	5	−	−	PROPN
ejpam-2456	330	6	u(n	u(n	PROPN
ejpam-2456	330	7	,	,	PUNCT
ejpam-2456	330	8	0	0	NUM
ejpam-2456	330	9	)	)	PUNCT
ejpam-2456	330	10	�	�	PROPN
ejpam-2456	330	11	φ(0)−	φ(0)−	PROPN
ejpam-2456	330	12	g(0,φ	g(0,φ	PROPN
ejpam-2456	330	13	)	)	PUNCT
ejpam-2456	330	14	�	�	PROPN
ejpam-2456	330	15	−	−	PROPN
ejpam-2456	330	16	g(n	g(n	PROPN
ejpam-2456	330	17	,	,	PUNCT
ejpam-2456	330	18	yρ(n	yρ(n	NUM
ejpam-2456	330	19	,	,	PUNCT
ejpam-2456	330	20	yn	yn	PROPN
ejpam-2456	330	21	)	)	PUNCT
ejpam-2456	330	22	)	)	PUNCT
ejpam-2456	331	1	−	−	NUM
ejpam-2456	331	2	∫	∫	PROPN
ejpam-2456	331	3	n	n	CCONJ
ejpam-2456	331	4	0	0	NUM
ejpam-2456	331	5	u(n	u(n	PROPN
ejpam-2456	331	6	,	,	PUNCT
ejpam-2456	331	7	τ)a(τ)g(τ	τ)a(τ)g(τ	NUM
ejpam-2456	331	8	,	,	PUNCT
ejpam-2456	331	9	yρ(τ	yρ(τ	NOUN
ejpam-2456	331	10	,	,	PUNCT
ejpam-2456	331	11	yτ))dτ−	yτ))dτ−	NOUN
ejpam-2456	331	12	∫	∫	PROPN
ejpam-2456	331	13	n	n	CCONJ
ejpam-2456	331	14	0	0	NUM
ejpam-2456	331	15	u(n	u(n	PROPN
ejpam-2456	331	16	,	,	PUNCT
ejpam-2456	331	17	τ	τ	PROPN
ejpam-2456	331	18	)	)	PUNCT
ejpam-2456	331	19	f	f	PROPN
ejpam-2456	331	20	(	(	PUNCT
ejpam-2456	331	21	τ	τ	PROPN
ejpam-2456	331	22	,	,	PUNCT
ejpam-2456	331	23	yρ(τ	yρ(τ	NOUN
ejpam-2456	331	24	,	,	PUNCT
ejpam-2456	331	25	yτ))dτ	yτ))dτ	PROPN
ejpam-2456	331	26	�	�	PROPN
ejpam-2456	331	27	(	(	PUNCT
ejpam-2456	331	28	t	t	PROPN
ejpam-2456	331	29	)	)	PUNCT
ejpam-2456	331	30	.	.	PUNCT
ejpam-2456	332	1	noting	note	VERB
ejpam-2456	332	2	that	that	SCONJ
ejpam-2456	332	3	by	by	ADP
ejpam-2456	332	4	(	(	PUNCT
ejpam-2456	332	5	h1	h1	PROPN
ejpam-2456	332	6	)	)	PUNCT
ejpam-2456	332	7	,	,	PUNCT
ejpam-2456	332	8	(	(	PUNCT
ejpam-2456	332	9	h2	h2	NOUN
ejpam-2456	332	10	)	)	PUNCT
ejpam-2456	332	11	,	,	PUNCT
ejpam-2456	332	12	(	(	PUNCT
ejpam-2456	332	13	h4	h4	PROPN
ejpam-2456	332	14	)	)	PUNCT
ejpam-2456	332	15	,	,	PUNCT
ejpam-2456	332	16	(	(	PUNCT
ejpam-2456	332	17	h5	h5	PROPN
ejpam-2456	332	18	)	)	PUNCT
ejpam-2456	332	19	and	and	CCONJ
ejpam-2456	332	20	(	(	PUNCT
ejpam-2456	332	21	h7	h7	PROPN
ejpam-2456	332	22	)	)	PUNCT
ejpam-2456	332	23	we	we	PRON
ejpam-2456	332	24	get	get	VERB
ejpam-2456	332	25	|uy(t)|	|uy(t)|	ADJ
ejpam-2456	332	26	≤	≤	NUM
ejpam-2456	332	27	em1	em1	PROPN
ejpam-2456	332	28	�	�	PROPN
ejpam-2456	332	29	|y∗|+	|y∗|+	PROPN
ejpam-2456	332	30	òm	òm	INTJ
ejpam-2456	332	31	�	�	PROPN
ejpam-2456	332	32	h	h	PROPN
ejpam-2456	332	33	+	+	PROPN
ejpam-2456	332	34	m0	m0	PROPN
ejpam-2456	332	35	l	l	PROPN
ejpam-2456	332	36	�	�	PROPN
ejpam-2456	332	37	‖φ‖b	‖φ‖b	PROPN
ejpam-2456	332	38	+	+	CCONJ
ejpam-2456	332	39	�	�	PROPN
ejpam-2456	332	40	òm	òm	INTJ
ejpam-2456	332	41	+	+	CCONJ
ejpam-2456	332	42	1	1	NUM
ejpam-2456	332	43	�	�	PROPN
ejpam-2456	332	44	m0	m0	NOUN
ejpam-2456	332	45	l	l	PROPN
ejpam-2456	333	1	+	+	CCONJ
ejpam-2456	333	2	òm	òm	PRON
ejpam-2456	333	3	ln	ln	ADJ
ejpam-2456	333	4	�	�	PROPN
ejpam-2456	333	5	+	+	CCONJ
ejpam-2456	333	6	em1m0	em1m0	PROPN
ejpam-2456	333	7	l‖yρ(n	l‖yρ(n	PROPN
ejpam-2456	333	8	,	,	PUNCT
ejpam-2456	333	9	yn)‖b	yn)‖b	PROPN
ejpam-2456	333	10	+	+	CCONJ
ejpam-2456	333	11	em1òm	em1òm	PROPN
ejpam-2456	333	12	l	l	NOUN
ejpam-2456	333	13	∫	∫	NOUN
ejpam-2456	333	14	n	n	CCONJ
ejpam-2456	333	15	0	0	NUM
ejpam-2456	333	16	‖yρ(τ	‖yρ(τ	SYM
ejpam-2456	333	17	,	,	PUNCT
ejpam-2456	333	18	yτ)‖bdτ	yτ)‖bdτ	PROPN
ejpam-2456	333	19	+	+	NUM
ejpam-2456	333	20	em1òm	em1òm	PROPN
ejpam-2456	333	21	∫	∫	PROPN
ejpam-2456	333	22	n	n	CCONJ
ejpam-2456	333	23	0	0	NUM
ejpam-2456	333	24	p(τ)ψ(‖yρ(τ	p(τ)ψ(‖yρ(τ	NOUN
ejpam-2456	333	25	,	,	PUNCT
ejpam-2456	333	26	yτ)‖b)dτ	yτ)‖b)dτ	PROPN
ejpam-2456	333	27	.	.	PROPN
ejpam-2456	334	1	(	(	PUNCT
ejpam-2456	334	2	12	12	NUM
ejpam-2456	334	3	)	)	PUNCT
ejpam-2456	334	4	using	use	VERB
ejpam-2456	334	5	this	this	DET
ejpam-2456	334	6	control	control	NOUN
ejpam-2456	334	7	the	the	DET
ejpam-2456	334	8	operator	operator	NOUN
ejpam-2456	334	9	en	en	ADV
ejpam-2456	334	10	has	have	VERB
ejpam-2456	334	11	a	a	DET
ejpam-2456	334	12	fixed	fix	VERB
ejpam-2456	334	13	point	point	NOUN
ejpam-2456	334	14	y	y	PROPN
ejpam-2456	334	15	(	(	PUNCT
ejpam-2456	334	16	·	·	PUNCT
ejpam-2456	334	17	)	)	PUNCT
ejpam-2456	334	18	.	.	PUNCT
ejpam-2456	335	1	then	then	ADV
ejpam-2456	335	2	y	y	PROPN
ejpam-2456	335	3	(	(	PUNCT
ejpam-2456	335	4	·	·	PUNCT
ejpam-2456	335	5	)	)	PUNCT
ejpam-2456	335	6	is	be	AUX
ejpam-2456	335	7	a	a	DET
ejpam-2456	335	8	mild	mild	ADJ
ejpam-2456	335	9	solution	solution	NOUN
ejpam-2456	335	10	of	of	ADP
ejpam-2456	335	11	the	the	DET
ejpam-2456	335	12	neutral	neutral	ADJ
ejpam-2456	335	13	evolution	evolution	NOUN
ejpam-2456	335	14	system	system	NOUN
ejpam-2456	335	15	(	(	PUNCT
ejpam-2456	335	16	2	2	NUM
ejpam-2456	335	17	)	)	PUNCT
ejpam-2456	335	18	.	.	PUNCT
ejpam-2456	336	1	for	for	ADP
ejpam-2456	336	2	φ	φ	PROPN
ejpam-2456	336	3	∈	∈	PROPN
ejpam-2456	336	4	b	b	PROPN
ejpam-2456	336	5	,	,	PUNCT
ejpam-2456	336	6	we	we	PRON
ejpam-2456	336	7	will	will	AUX
ejpam-2456	336	8	define	define	VERB
ejpam-2456	336	9	the	the	DET
ejpam-2456	336	10	function	function	NOUN
ejpam-2456	336	11	x	x	X
ejpam-2456	336	12	(	(	PUNCT
ejpam-2456	336	13	·	·	PUNCT
ejpam-2456	336	14	)	)	PUNCT
ejpam-2456	336	15	:	:	PUNCT
ejpam-2456	337	1	r	r	NOUN
ejpam-2456	337	2	→	→	SYM
ejpam-2456	337	3	e	e	NOUN
ejpam-2456	337	4	by	by	ADP
ejpam-2456	337	5	x(t	x(t	PROPN
ejpam-2456	337	6	)	)	PUNCT
ejpam-2456	337	7	=	=	SYM
ejpam-2456	337	8	φ(t	φ(t	PROPN
ejpam-2456	337	9	)	)	PUNCT
ejpam-2456	337	10	for	for	ADP
ejpam-2456	337	11	t	t	NOUN
ejpam-2456	337	12	≤	≤	NUM
ejpam-2456	337	13	0	0	NUM
ejpam-2456	337	14	and	and	CCONJ
ejpam-2456	337	15	x(t	x(t	PROPN
ejpam-2456	337	16	)	)	PUNCT
ejpam-2456	337	17	=	=	SYM
ejpam-2456	337	18	u(t	u(t	NOUN
ejpam-2456	337	19	,	,	PUNCT
ejpam-2456	337	20	0	0	NUM
ejpam-2456	337	21	)	)	PUNCT
ejpam-2456	337	22	φ(0	φ(0	ADJ
ejpam-2456	337	23	)	)	PUNCT
ejpam-2456	337	24	for	for	ADP
ejpam-2456	337	25	t	t	PROPN
ejpam-2456	337	26	∈	∈	PROPN
ejpam-2456	337	27	j	j	PROPN
ejpam-2456	337	28	.	.	PUNCT
ejpam-2456	338	1	then	then	ADV
ejpam-2456	338	2	x0	x0	PROPN
ejpam-2456	338	3	=	=	SYM
ejpam-2456	338	4	φ	φ	PROPN
ejpam-2456	338	5	.	.	PUNCT
ejpam-2456	339	1	for	for	ADP
ejpam-2456	339	2	each	each	DET
ejpam-2456	339	3	function	function	NOUN
ejpam-2456	339	4	z	z	PROPN
ejpam-2456	339	5	∈	∈	PROPN
ejpam-2456	339	6	b+∞	b+∞	PROPN
ejpam-2456	339	7	with	with	ADP
ejpam-2456	339	8	z(0	z(0	ADV
ejpam-2456	339	9	)	)	PUNCT
ejpam-2456	339	10	=	=	SYM
ejpam-2456	339	11	0	0	NUM
ejpam-2456	339	12	,	,	PUNCT
ejpam-2456	339	13	we	we	PRON
ejpam-2456	339	14	denote	denote	VERB
ejpam-2456	339	15	by	by	ADP
ejpam-2456	339	16	z	z	PROPN
ejpam-2456	339	17	the	the	DET
ejpam-2456	339	18	function	function	NOUN
ejpam-2456	339	19	defined	define	VERB
ejpam-2456	339	20	by	by	ADP
ejpam-2456	339	21	z(t	z(t	NOUN
ejpam-2456	339	22	)	)	PUNCT
ejpam-2456	339	23	=	=	SYM
ejpam-2456	339	24	0	0	NUM
ejpam-2456	340	1	for	for	ADP
ejpam-2456	340	2	t	t	NOUN
ejpam-2456	340	3	≤	≤	NOUN
ejpam-2456	340	4	0	0	NUM
ejpam-2456	340	5	and	and	CCONJ
ejpam-2456	340	6	z(t	z(t	NOUN
ejpam-2456	340	7	)	)	PUNCT
ejpam-2456	340	8	=	=	SYM
ejpam-2456	340	9	z(t	z(t	NOUN
ejpam-2456	340	10	)	)	PUNCT
ejpam-2456	340	11	for	for	ADP
ejpam-2456	340	12	t	t	PROPN
ejpam-2456	340	13	∈	∈	PROPN
ejpam-2456	340	14	j	j	PROPN
ejpam-2456	340	15	.	.	PUNCT
ejpam-2456	341	1	if	if	SCONJ
ejpam-2456	341	2	y	y	PROPN
ejpam-2456	341	3	(	(	PUNCT
ejpam-2456	341	4	·	·	PUNCT
ejpam-2456	341	5	)	)	PUNCT
ejpam-2456	341	6	satisfies	satisfie	NOUN
ejpam-2456	341	7	(	(	PUNCT
ejpam-2456	341	8	10	10	NUM
ejpam-2456	341	9	)	)	PUNCT
ejpam-2456	341	10	,	,	PUNCT
ejpam-2456	341	11	we	we	PRON
ejpam-2456	341	12	decompose	decompose	VERB
ejpam-2456	341	13	it	it	PRON
ejpam-2456	341	14	as	as	ADP
ejpam-2456	341	15	y(t	y(t	PROPN
ejpam-2456	341	16	)	)	PUNCT
ejpam-2456	341	17	=	=	PUNCT
ejpam-2456	341	18	z(t	z(t	NOUN
ejpam-2456	341	19	)	)	PUNCT
ejpam-2456	341	20	+	+	CCONJ
ejpam-2456	342	1	x(t	x(t	PROPN
ejpam-2456	342	2	)	)	PUNCT
ejpam-2456	342	3	,	,	PUNCT
ejpam-2456	342	4	t	t	PROPN
ejpam-2456	342	5	≥	≥	NUM
ejpam-2456	342	6	0	0	NUM
ejpam-2456	342	7	,	,	PUNCT
ejpam-2456	342	8	which	which	PRON
ejpam-2456	342	9	implies	imply	VERB
ejpam-2456	342	10	yt	yt	X
ejpam-2456	342	11	=	=	PUNCT
ejpam-2456	342	12	zt	zt	PROPN
ejpam-2456	342	13	+	+	CCONJ
ejpam-2456	342	14	x	x	PROPN
ejpam-2456	342	15	t	t	NOUN
ejpam-2456	342	16	,	,	PUNCT
ejpam-2456	342	17	for	for	ADP
ejpam-2456	342	18	every	every	DET
ejpam-2456	342	19	t	t	PROPN
ejpam-2456	342	20	∈	∈	PROPN
ejpam-2456	342	21	j	j	PROPN
ejpam-2456	342	22	and	and	CCONJ
ejpam-2456	342	23	the	the	DET
ejpam-2456	342	24	function	function	NOUN
ejpam-2456	342	25	z	z	PROPN
ejpam-2456	342	26	(	(	PUNCT
ejpam-2456	342	27	·	·	PUNCT
ejpam-2456	342	28	)	)	PUNCT
ejpam-2456	342	29	satisfies	satisfy	VERB
ejpam-2456	342	30	z0	z0	PROPN
ejpam-2456	342	31	=	=	SYM
ejpam-2456	342	32	0	0	PROPN
ejpam-2456	342	33	and	and	CCONJ
ejpam-2456	342	34	for	for	ADP
ejpam-2456	342	35	t	t	PROPN
ejpam-2456	342	36	∈	∈	PROPN
ejpam-2456	342	37	j	j	PROPN
ejpam-2456	342	38	,	,	PUNCT
ejpam-2456	342	39	we	we	PRON
ejpam-2456	342	40	get	get	VERB
ejpam-2456	342	41	z(t	z(t	NOUN
ejpam-2456	342	42	)	)	PUNCT
ejpam-2456	343	1	=	=	SYM
ejpam-2456	343	2	g(t	g(t	PROPN
ejpam-2456	343	3	,	,	PUNCT
ejpam-2456	343	4	zρ(t	zρ(t	NUM
ejpam-2456	343	5	,	,	PUNCT
ejpam-2456	343	6	zt+x	zt+x	PROPN
ejpam-2456	343	7	t	t	PROPN
ejpam-2456	343	8	)	)	PUNCT
ejpam-2456	344	1	+	+	CCONJ
ejpam-2456	344	2	xρ(t	xρ(t	ADV
ejpam-2456	344	3	,	,	PUNCT
ejpam-2456	344	4	zt+x	zt+x	PROPN
ejpam-2456	344	5	t	t	PROPN
ejpam-2456	344	6	)	)	PUNCT
ejpam-2456	344	7	)	)	PUNCT
ejpam-2456	345	1	−	−	PROPN
ejpam-2456	345	2	u(t	u(t	PROPN
ejpam-2456	345	3	,	,	PUNCT
ejpam-2456	345	4	0)g(0,φ	0)g(0,φ	NUM
ejpam-2456	345	5	d.	d.	PROPN
ejpam-2456	345	6	aoued	aoued	PROPN
ejpam-2456	345	7	,	,	PUNCT
ejpam-2456	345	8	s.	s.	PROPN
ejpam-2456	345	9	baghli	baghli	PROPN
ejpam-2456	345	10	-	-	PUNCT
ejpam-2456	345	11	bendimerad	bendimerad	PROPN
ejpam-2456	345	12	/	/	SYM
ejpam-2456	345	13	eur	eur	PROPN
ejpam-2456	345	14	.	.	PUNCT
ejpam-2456	346	1	j.	j.	PROPN
ejpam-2456	346	2	pure	pure	PROPN
ejpam-2456	346	3	appl	appl	PROPN
ejpam-2456	346	4	.	.	PROPN
ejpam-2456	346	5	math	math	PROPN
ejpam-2456	346	6	,	,	PUNCT
ejpam-2456	346	7	9	9	NUM
ejpam-2456	346	8	(	(	PUNCT
ejpam-2456	346	9	2016	2016	NUM
ejpam-2456	346	10	)	)	PUNCT
ejpam-2456	346	11	,	,	PUNCT
ejpam-2456	346	12	383	383	NUM
ejpam-2456	346	13	-	-	SYM
ejpam-2456	346	14	401	401	NUM
ejpam-2456	346	15	395	395	NUM
ejpam-2456	346	16	+	+	NUM
ejpam-2456	346	17	∫	∫	PROPN
ejpam-2456	346	18	t	t	PROPN
ejpam-2456	346	19	0	0	NUM
ejpam-2456	346	20	u(t	u(t	NOUN
ejpam-2456	346	21	,	,	PUNCT
ejpam-2456	346	22	s)a(s)g(s	s)a(s)g(s	NOUN
ejpam-2456	346	23	,	,	PUNCT
ejpam-2456	346	24	zρ(s	zρ(s	PRON
ejpam-2456	346	25	,	,	PUNCT
ejpam-2456	346	26	zs+xs	zs+x	NOUN
ejpam-2456	346	27	)	)	PUNCT
ejpam-2456	347	1	+	+	CCONJ
ejpam-2456	347	2	xρ(s	xρ(s	SYM
ejpam-2456	347	3	,	,	PUNCT
ejpam-2456	347	4	zs+xs))ds+	zs+xs))ds+	PROPN
ejpam-2456	347	5	∫	∫	NOUN
ejpam-2456	347	6	t	t	PROPN
ejpam-2456	347	7	0	0	NUM
ejpam-2456	347	8	u(t	u(t	PROPN
ejpam-2456	347	9	,	,	PUNCT
ejpam-2456	347	10	s)cuz+x(s)ds	s)cuz+x(s)ds	PROPN
ejpam-2456	347	11	+	+	X
ejpam-2456	347	12	∫	∫	PROPN
ejpam-2456	347	13	t	t	PROPN
ejpam-2456	347	14	0	0	NUM
ejpam-2456	347	15	u(t	u(t	PROPN
ejpam-2456	347	16	,	,	PUNCT
ejpam-2456	347	17	s	s	NOUN
ejpam-2456	347	18	)	)	PUNCT
ejpam-2456	347	19	f	f	NOUN
ejpam-2456	347	20	(	(	PUNCT
ejpam-2456	347	21	s	s	PROPN
ejpam-2456	347	22	,	,	PUNCT
ejpam-2456	347	23	zρ(s	zρ(s	NUM
ejpam-2456	347	24	,	,	PUNCT
ejpam-2456	347	25	zs+xs	zs+x	NOUN
ejpam-2456	347	26	)	)	PUNCT
ejpam-2456	348	1	+	+	CCONJ
ejpam-2456	348	2	xρ(s	xρ(s	NUM
ejpam-2456	348	3	,	,	PUNCT
ejpam-2456	348	4	zs+xs))ds	zs+xs))ds	PROPN
ejpam-2456	348	5	.	.	PUNCT
ejpam-2456	348	6	let	let	VERB
ejpam-2456	348	7	us	we	PRON
ejpam-2456	348	8	define	define	VERB
ejpam-2456	348	9	the	the	DET
ejpam-2456	348	10	operators	operator	NOUN
ejpam-2456	348	11	ef	ef	VERB
ejpam-2456	348	12	,	,	PUNCT
ejpam-2456	348	13	g	g	PROPN
ejpam-2456	348	14	:	:	PUNCT
ejpam-2456	348	15	b0	b0	VERB
ejpam-2456	348	16	+	+	PROPN
ejpam-2456	348	17	∞	∞	NOUN
ejpam-2456	348	18	−→	−→	NOUN
ejpam-2456	348	19	b0	b0	NOUN
ejpam-2456	348	20	+	+	NOUN
ejpam-2456	348	21	∞	∞	NUM
ejpam-2456	348	22	by	by	ADP
ejpam-2456	348	23	ef(z)(t	ef(z)(t	NUM
ejpam-2456	348	24	)	)	PUNCT
ejpam-2456	349	1	=	=	SYM
ejpam-2456	349	2	g(t	g(t	PROPN
ejpam-2456	349	3	,	,	PUNCT
ejpam-2456	349	4	zρ(t	zρ(t	NUM
ejpam-2456	349	5	,	,	PUNCT
ejpam-2456	349	6	zt+x	zt+x	PROPN
ejpam-2456	349	7	t	t	PROPN
ejpam-2456	349	8	)	)	PUNCT
ejpam-2456	350	1	+	+	CCONJ
ejpam-2456	350	2	xρ(t	xρ(t	ADV
ejpam-2456	350	3	,	,	PUNCT
ejpam-2456	350	4	zt+x	zt+x	PROPN
ejpam-2456	350	5	t	t	PROPN
ejpam-2456	350	6	)	)	PUNCT
ejpam-2456	350	7	)	)	PUNCT
ejpam-2456	351	1	−	−	PROPN
ejpam-2456	351	2	u(t	u(t	NOUN
ejpam-2456	351	3	,	,	PUNCT
ejpam-2456	351	4	0)g(0,φ	0)g(0,φ	NUM
ejpam-2456	351	5	)	)	PUNCT
ejpam-2456	352	1	+	+	CCONJ
ejpam-2456	352	2	∫	∫	PROPN
ejpam-2456	352	3	t	t	NOUN
ejpam-2456	352	4	0	0	NUM
ejpam-2456	352	5	u(t	u(t	NOUN
ejpam-2456	352	6	,	,	PUNCT
ejpam-2456	352	7	s)a(s)g(s	s)a(s)g(s	NOUN
ejpam-2456	352	8	,	,	PUNCT
ejpam-2456	352	9	zρ(s	zρ(s	PRON
ejpam-2456	352	10	,	,	PUNCT
ejpam-2456	352	11	zs+xs	zs+x	NOUN
ejpam-2456	352	12	)	)	PUNCT
ejpam-2456	353	1	+	+	CCONJ
ejpam-2456	353	2	xρ(s	xρ(s	SYM
ejpam-2456	353	3	,	,	PUNCT
ejpam-2456	353	4	zs+xs))ds+	zs+xs))ds+	PROPN
ejpam-2456	353	5	∫	∫	NOUN
ejpam-2456	353	6	t	t	PROPN
ejpam-2456	353	7	0	0	NUM
ejpam-2456	353	8	u(t	u(t	PROPN
ejpam-2456	353	9	,	,	PUNCT
ejpam-2456	353	10	s)cuz+x(s)ds	s)cuz+x(s)ds	ADJ
ejpam-2456	353	11	and	and	CCONJ
ejpam-2456	353	12	g(z)(t	g(z)(t	NUM
ejpam-2456	353	13	)	)	PUNCT
ejpam-2456	353	14	=	=	SYM
ejpam-2456	354	1	∫	∫	PROPN
ejpam-2456	354	2	t	t	NOUN
ejpam-2456	354	3	0	0	NUM
ejpam-2456	354	4	u(t	u(t	PROPN
ejpam-2456	354	5	,	,	PUNCT
ejpam-2456	354	6	s	s	NOUN
ejpam-2456	354	7	)	)	PUNCT
ejpam-2456	354	8	f	f	NOUN
ejpam-2456	354	9	(	(	PUNCT
ejpam-2456	354	10	s	s	PROPN
ejpam-2456	354	11	,	,	PUNCT
ejpam-2456	354	12	zρ(s	zρ(s	NUM
ejpam-2456	354	13	,	,	PUNCT
ejpam-2456	354	14	zs+xs	zs+x	NOUN
ejpam-2456	354	15	)	)	PUNCT
ejpam-2456	355	1	+	+	CCONJ
ejpam-2456	355	2	xρ(s	xρ(s	NUM
ejpam-2456	355	3	,	,	PUNCT
ejpam-2456	355	4	zs+xs))ds	zs+xs))ds	NUM
ejpam-2456	355	5	.	.	PUNCT
ejpam-2456	356	1	obviously	obviously	ADV
ejpam-2456	356	2	the	the	DET
ejpam-2456	356	3	operator	operator	NOUN
ejpam-2456	356	4	en	en	ADV
ejpam-2456	356	5	has	have	AUX
ejpam-2456	356	6	a	a	DET
ejpam-2456	356	7	fixed	fix	VERB
ejpam-2456	356	8	point	point	NOUN
ejpam-2456	356	9	is	be	AUX
ejpam-2456	356	10	equivalent	equivalent	ADJ
ejpam-2456	356	11	to	to	PART
ejpam-2456	356	12	ef	ef	VERB
ejpam-2456	356	13	+	+	CCONJ
ejpam-2456	356	14	g	g	PROPN
ejpam-2456	356	15	has	have	VERB
ejpam-2456	356	16	one	one	NUM
ejpam-2456	356	17	,	,	PUNCT
ejpam-2456	356	18	so	so	SCONJ
ejpam-2456	356	19	it	it	PRON
ejpam-2456	356	20	turns	turn	VERB
ejpam-2456	356	21	to	to	PART
ejpam-2456	356	22	prove	prove	VERB
ejpam-2456	356	23	that	that	SCONJ
ejpam-2456	356	24	ef	ef	PROPN
ejpam-2456	356	25	+	+	CCONJ
ejpam-2456	356	26	g	g	PROPN
ejpam-2456	356	27	has	have	VERB
ejpam-2456	356	28	a	a	DET
ejpam-2456	356	29	fixed	fix	VERB
ejpam-2456	356	30	point	point	NOUN
ejpam-2456	356	31	.	.	PUNCT
ejpam-2456	357	1	we	we	PRON
ejpam-2456	357	2	can	can	AUX
ejpam-2456	357	3	show	show	VERB
ejpam-2456	357	4	as	as	ADP
ejpam-2456	357	5	in	in	ADP
ejpam-2456	357	6	section	section	NOUN
ejpam-2456	357	7	3	3	NUM
ejpam-2456	357	8	that	that	SCONJ
ejpam-2456	357	9	the	the	DET
ejpam-2456	357	10	operator	operator	NOUN
ejpam-2456	357	11	ef	ef	NOUN
ejpam-2456	357	12	is	be	AUX
ejpam-2456	357	13	continuous	continuous	ADJ
ejpam-2456	357	14	and	and	CCONJ
ejpam-2456	357	15	compact	compact	ADJ
ejpam-2456	357	16	and	and	CCONJ
ejpam-2456	357	17	the	the	DET
ejpam-2456	357	18	operator	operator	NOUN
ejpam-2456	357	19	g	g	NOUN
ejpam-2456	357	20	is	be	AUX
ejpam-2456	357	21	a	a	DET
ejpam-2456	357	22	contraction	contraction	NOUN
ejpam-2456	357	23	.	.	PUNCT
ejpam-2456	358	1	for	for	ADP
ejpam-2456	358	2	applying	apply	VERB
ejpam-2456	358	3	avramescu	avramescu	PROPN
ejpam-2456	358	4	’s	’s	PART
ejpam-2456	358	5	nonlinear	nonlinear	ADJ
ejpam-2456	358	6	alternative	alternative	NOUN
ejpam-2456	358	7	,	,	PUNCT
ejpam-2456	358	8	we	we	PRON
ejpam-2456	358	9	must	must	AUX
ejpam-2456	358	10	check	check	VERB
ejpam-2456	358	11	(	(	PUNCT
ejpam-2456	358	12	c2	c2	PROPN
ejpam-2456	358	13	)	)	PUNCT
ejpam-2456	358	14	in	in	ADP
ejpam-2456	358	15	theorem	theorem	NOUN
ejpam-2456	358	16	1	1	NUM
ejpam-2456	358	17	:	:	PUNCT
ejpam-2456	358	18	i.e.	i.e.	X
ejpam-2456	358	19	it	it	PRON
ejpam-2456	358	20	remains	remain	VERB
ejpam-2456	358	21	to	to	PART
ejpam-2456	358	22	show	show	VERB
ejpam-2456	358	23	that	that	SCONJ
ejpam-2456	358	24	the	the	DET
ejpam-2456	358	25	following	follow	VERB
ejpam-2456	358	26	set	set	VERB
ejpam-2456	358	27	ee	ee	ADP
ejpam-2456	358	28	=	=	PUNCT
ejpam-2456	358	29	§	§	PROPN
ejpam-2456	358	30	z	z	PROPN
ejpam-2456	358	31	∈	∈	PROPN
ejpam-2456	358	32	b0	b0	NOUN
ejpam-2456	358	33	+	+	NOUN
ejpam-2456	358	34	∞	∞	PROPN
ejpam-2456	358	35	:	:	PUNCT
ejpam-2456	358	36	z	z	X
ejpam-2456	358	37	=	=	SYM
ejpam-2456	358	38	λef(z	λef(z	PROPN
ejpam-2456	358	39	)	)	PUNCT
ejpam-2456	359	1	+	+	PROPN
ejpam-2456	359	2	λg	λg	X
ejpam-2456	359	3	�	�	PROPN
ejpam-2456	359	4	z	z	PROPN
ejpam-2456	359	5	λ	λ	PROPN
ejpam-2456	359	6	�	�	PROPN
ejpam-2456	359	7	for	for	ADP
ejpam-2456	359	8	some	some	DET
ejpam-2456	359	9	0	0	NUM
ejpam-2456	359	10	<	<	X
ejpam-2456	359	11	λ	λ	X
ejpam-2456	359	12	<	<	X
ejpam-2456	359	13	1	1	NUM
ejpam-2456	359	14	ª	ª	NOUN
ejpam-2456	359	15	is	be	AUX
ejpam-2456	359	16	bounded	bound	VERB
ejpam-2456	359	17	.	.	PUNCT
ejpam-2456	360	1	let	let	VERB
ejpam-2456	360	2	z	z	NOUN
ejpam-2456	360	3	∈	∈	PROPN
ejpam-2456	360	4	ee	ee	PROPN
ejpam-2456	360	5	.	.	PUNCT
ejpam-2456	361	1	then	then	ADV
ejpam-2456	361	2	,	,	PUNCT
ejpam-2456	361	3	using	use	VERB
ejpam-2456	361	4	(	(	PUNCT
ejpam-2456	361	5	h1)-(h6	h1)-(h6	NUM
ejpam-2456	361	6	)	)	PUNCT
ejpam-2456	361	7	and	and	CCONJ
ejpam-2456	361	8	(	(	PUNCT
ejpam-2456	361	9	12	12	NUM
ejpam-2456	361	10	)	)	PUNCT
ejpam-2456	361	11	,	,	PUNCT
ejpam-2456	361	12	we	we	PRON
ejpam-2456	361	13	have	have	VERB
ejpam-2456	361	14	for	for	ADP
ejpam-2456	361	15	each	each	DET
ejpam-2456	361	16	t	t	NOUN
ejpam-2456	361	17	∈	∈	PROPN
ejpam-2456	362	1	[	[	X
ejpam-2456	362	2	0	0	NUM
ejpam-2456	362	3	,	,	PUNCT
ejpam-2456	362	4	n	n	CCONJ
ejpam-2456	362	5	]	]	PUNCT
ejpam-2456	362	6	|z(t)|	|z(t)|	PROPN
ejpam-2456	362	7	λ	λ	PROPN
ejpam-2456	362	8	≤	≤	ADJ
ejpam-2456	362	9	�	�	PROPN
ejpam-2456	362	10	(	(	PUNCT
ejpam-2456	362	11	òm	òm	INTJ
ejpam-2456	362	12	+	+	NUM
ejpam-2456	362	13	1)m0	1)m0	NUM
ejpam-2456	362	14	l	l	NOUN
ejpam-2456	362	15	+	+	CCONJ
ejpam-2456	362	16	òm	òm	PRON
ejpam-2456	362	17	ln	ln	ADJ
ejpam-2456	362	18	�	�	PROPN
ejpam-2456	362	19	�	�	PROPN
ejpam-2456	362	20	òm	òm	ADP
ejpam-2456	362	21	em	em	PRON
ejpam-2456	362	22	em1n+	em1n+	PROPN
ejpam-2456	362	23	1	1	NUM
ejpam-2456	362	24	�	�	NOUN
ejpam-2456	362	25	+	+	CCONJ
ejpam-2456	362	26	òm	òm	X
ejpam-2456	362	27	em	em	PRON
ejpam-2456	362	28	em1n|by|	em1n|by|	PROPN
ejpam-2456	362	29	+	+	NUM
ejpam-2456	362	30	òm	òm	PRON
ejpam-2456	362	31	�	�	PROPN
ejpam-2456	362	32	m0	m0	PROPN
ejpam-2456	362	33	l	l	PROPN
ejpam-2456	362	34	�	�	PROPN
ejpam-2456	363	1	òm	òm	ADP
ejpam-2456	363	2	em	em	PRON
ejpam-2456	363	3	em1n+	em1n+	PROPN
ejpam-2456	363	4	1	1	NUM
ejpam-2456	363	5	�	�	NOUN
ejpam-2456	363	6	+	+	CCONJ
ejpam-2456	363	7	òm	òm	INTJ
ejpam-2456	363	8	em	em	PROPN
ejpam-2456	363	9	em1nh	em1nh	NOUN
ejpam-2456	363	10	�	�	PROPN
ejpam-2456	363	11	‖φ‖b	‖φ‖b	PROPN
ejpam-2456	364	1	+	+	CCONJ
ejpam-2456	364	2	òm	òm	INTJ
ejpam-2456	364	3	em	em	PROPN
ejpam-2456	364	4	em1m0	em1m0	PROPN
ejpam-2456	364	5	ln‖zρ(n	ln‖zρ(n	PROPN
ejpam-2456	364	6	,	,	PUNCT
ejpam-2456	364	7	zn+xn	zn+xn	NUM
ejpam-2456	364	8	)	)	PUNCT
ejpam-2456	365	1	+	+	CCONJ
ejpam-2456	365	2	xρ(n	xρ(n	PUNCT
ejpam-2456	365	3	,	,	PUNCT
ejpam-2456	365	4	zn+xn)‖b	zn+xn)‖b	PROPN
ejpam-2456	365	5	+	+	PUNCT
ejpam-2456	365	6	m0	m0	PROPN
ejpam-2456	365	7	l‖zρ(t	l‖zρ(t	NOUN
ejpam-2456	365	8	,	,	PUNCT
ejpam-2456	365	9	zt+x	zt+x	PROPN
ejpam-2456	365	10	t	t	PROPN
ejpam-2456	365	11	)	)	PUNCT
ejpam-2456	366	1	+	+	CCONJ
ejpam-2456	366	2	xρ(t	xρ(t	ADV
ejpam-2456	366	3	,	,	PUNCT
ejpam-2456	366	4	zt+x	zt+x	PROPN
ejpam-2456	366	5	t	t	PROPN
ejpam-2456	366	6	)	)	PUNCT
ejpam-2456	366	7	‖b	‖b	PUNCT
ejpam-2456	367	1	+	+	CCONJ
ejpam-2456	367	2	òm	òm	INTJ
ejpam-2456	367	3	l	l	NOUN
ejpam-2456	367	4	∫	∫	PROPN
ejpam-2456	367	5	t	t	PROPN
ejpam-2456	367	6	0	0	NUM
ejpam-2456	367	7	‖zρ(s	‖zρ(s	NUM
ejpam-2456	367	8	,	,	PUNCT
ejpam-2456	367	9	zs+xs	zs+xs	NOUN
ejpam-2456	367	10	)	)	PUNCT
ejpam-2456	368	1	+	+	CCONJ
ejpam-2456	368	2	xρ(s	xρ(s	ADP
ejpam-2456	368	3	,	,	PUNCT
ejpam-2456	368	4	zs+xs)‖b	zs+xs)‖b	PROPN
ejpam-2456	368	5	ds	ds	PROPN
ejpam-2456	369	1	+	+	CCONJ
ejpam-2456	369	2	òm2	òm2	NOUN
ejpam-2456	369	3	em	em	PRON
ejpam-2456	369	4	em1	em1	PROPN
ejpam-2456	369	5	ln	ln	PROPN
ejpam-2456	369	6	∫	∫	PROPN
ejpam-2456	369	7	n	n	CCONJ
ejpam-2456	369	8	0	0	NUM
ejpam-2456	369	9	‖	‖	PROPN
ejpam-2456	369	10	�	�	PROPN
ejpam-2456	369	11	zρ(τ	zρ(τ	NUM
ejpam-2456	369	12	,	,	PUNCT
ejpam-2456	369	13	zτ+xτ	zτ+xτ	NUM
ejpam-2456	369	14	)	)	PUNCT
ejpam-2456	369	15	�	�	PROPN
ejpam-2456	369	16	+	+	CCONJ
ejpam-2456	369	17	xρ(τ	xρ(τ	NOUN
ejpam-2456	369	18	,	,	PUNCT
ejpam-2456	369	19	zτ+xτ)‖b	zτ+xτ)‖b	PROPN
ejpam-2456	369	20	dτ	dτ	PROPN
ejpam-2456	370	1	+	+	CCONJ
ejpam-2456	370	2	òm2	òm2	PROPN
ejpam-2456	370	3	em	em	PROPN
ejpam-2456	370	4	em1n	em1n	PROPN
ejpam-2456	370	5	∫	∫	PROPN
ejpam-2456	370	6	n	n	CCONJ
ejpam-2456	370	7	0	0	NUM
ejpam-2456	370	8	p(τ	p(τ	PROPN
ejpam-2456	370	9	)	)	PUNCT
ejpam-2456	370	10	ψ(‖	ψ(‖	PUNCT
ejpam-2456	370	11	�	�	PROPN
ejpam-2456	370	12	zρ(τ	zρ(τ	PRON
ejpam-2456	370	13	,	,	PUNCT
ejpam-2456	370	14	zτ+xτ	zτ+xτ	NUM
ejpam-2456	370	15	)	)	PUNCT
ejpam-2456	370	16	�	�	PROPN
ejpam-2456	370	17	+	+	CCONJ
ejpam-2456	370	18	xρ(τ	xρ(τ	NOUN
ejpam-2456	370	19	,	,	PUNCT
ejpam-2456	370	20	zτ+xτ)‖b	zτ+xτ)‖b	NUM
ejpam-2456	370	21	)	)	PUNCT
ejpam-2456	370	22	dτ	dτ	NOUN
ejpam-2456	371	1	+	+	CCONJ
ejpam-2456	371	2	òm	òm	INTJ
ejpam-2456	371	3	∫	∫	PROPN
ejpam-2456	371	4	t	t	PROPN
ejpam-2456	371	5	0	0	NUM
ejpam-2456	371	6	p(s	p(s	PROPN
ejpam-2456	371	7	)	)	PUNCT
ejpam-2456	371	8	ψ	ψ	ADP
ejpam-2456	371	9	�	�	PROPN
ejpam-2456	371	10	zρ(s	zρ(s	PROPN
ejpam-2456	371	11	,	,	PUNCT
ejpam-2456	371	12	zτ	zτ	X
ejpam-2456	371	13	λ	λ	PROPN
ejpam-2456	371	14	+	+	NOUN
ejpam-2456	371	15	xs	xs	X
ejpam-2456	371	16	)	)	PUNCT
ejpam-2456	371	17	λ	λ	PROPN
ejpam-2456	372	1	+	+	CCONJ
ejpam-2456	372	2	xρ(s	xρ(s	PUNCT
ejpam-2456	372	3	,	,	PUNCT
ejpam-2456	372	4	zs	zs	PROPN
ejpam-2456	372	5	λ	λ	PROPN
ejpam-2456	372	6	+	+	PROPN
ejpam-2456	372	7	xs	xs	PROPN
ejpam-2456	372	8	)	)	PUNCT
ejpam-2456	372	9	b	b	PROPN
ejpam-2456	372	10	�	�	PROPN
ejpam-2456	372	11	ds	ds	PROPN
ejpam-2456	372	12	.	.	PROPN
ejpam-2456	372	13	by	by	ADP
ejpam-2456	372	14	proposition	proposition	NOUN
ejpam-2456	372	15	1	1	NUM
ejpam-2456	372	16	,	,	PUNCT
ejpam-2456	372	17	we	we	PRON
ejpam-2456	372	18	obtain	obtain	VERB
ejpam-2456	372	19	‖zρ(n	‖zρ(n	NUM
ejpam-2456	372	20	,	,	PUNCT
ejpam-2456	372	21	zn+xn)+	zn+xn)+	NOUN
ejpam-2456	372	22	xρ(n	xρ(n	NUM
ejpam-2456	372	23	,	,	PUNCT
ejpam-2456	372	24	zn+xn)‖b	zn+xn)‖b	PROPN
ejpam-2456	372	25	≤	≤	NOUN
ejpam-2456	372	26	kn|by|+(mn+l	kn|by|+(mn+l	NOUN
ejpam-2456	372	27	φ)‖φ‖b	φ)‖φ‖b	NOUN
ejpam-2456	372	28	.	.	PUNCT
ejpam-2456	373	1	using	use	VERB
ejpam-2456	373	2	the	the	DET
ejpam-2456	373	3	inequalities	inequality	NOUN
ejpam-2456	373	4	(	(	PUNCT
ejpam-2456	373	5	6	6	NUM
ejpam-2456	373	6	)	)	PUNCT
ejpam-2456	373	7	and	and	CCONJ
ejpam-2456	373	8	(	(	PUNCT
ejpam-2456	373	9	9	9	NUM
ejpam-2456	373	10	)	)	PUNCT
ejpam-2456	373	11	,	,	PUNCT
ejpam-2456	373	12	we	we	PRON
ejpam-2456	373	13	have	have	VERB
ejpam-2456	373	14	|z(t)|	|z(t)|	PROPN
ejpam-2456	373	15	λ	λ	PROPN
ejpam-2456	373	16	≤	≤	ADJ
ejpam-2456	373	17	�	�	PROPN
ejpam-2456	373	18	(	(	PUNCT
ejpam-2456	373	19	òm	òm	INTJ
ejpam-2456	374	1	+	+	NUM
ejpam-2456	374	2	1)m0	1)m0	NUM
ejpam-2456	374	3	l	l	NOUN
ejpam-2456	374	4	+	+	CCONJ
ejpam-2456	374	5	òm	òm	PRON
ejpam-2456	374	6	ln	ln	ADJ
ejpam-2456	374	7	�	�	PROPN
ejpam-2456	374	8	�	�	PROPN
ejpam-2456	374	9	òm	òm	ADP
ejpam-2456	374	10	em	em	PRON
ejpam-2456	374	11	em1n+	em1n+	PROPN
ejpam-2456	374	12	1	1	NUM
ejpam-2456	374	13	�	�	NOUN
ejpam-2456	374	14	+	+	CCONJ
ejpam-2456	374	15	òm	òm	INTJ
ejpam-2456	374	16	em	em	PRON
ejpam-2456	374	17	em1n|by|	em1n|by|	PROPN
ejpam-2456	374	18	d.	d.	PROPN
ejpam-2456	374	19	aoued	aoued	PROPN
ejpam-2456	374	20	,	,	PUNCT
ejpam-2456	374	21	s.	s.	PROPN
ejpam-2456	374	22	baghli	baghli	PROPN
ejpam-2456	374	23	-	-	PUNCT
ejpam-2456	374	24	bendimerad	bendimerad	PROPN
ejpam-2456	374	25	/	/	SYM
ejpam-2456	374	26	eur	eur	PROPN
ejpam-2456	374	27	.	.	PUNCT
ejpam-2456	375	1	j.	j.	PROPN
ejpam-2456	375	2	pure	pure	PROPN
ejpam-2456	375	3	appl	appl	PROPN
ejpam-2456	375	4	.	.	PROPN
ejpam-2456	375	5	math	math	PROPN
ejpam-2456	375	6	,	,	PUNCT
ejpam-2456	375	7	9	9	NUM
ejpam-2456	375	8	(	(	PUNCT
ejpam-2456	375	9	2016	2016	NUM
ejpam-2456	375	10	)	)	PUNCT
ejpam-2456	375	11	,	,	PUNCT
ejpam-2456	375	12	383	383	NUM
ejpam-2456	375	13	-	-	SYM
ejpam-2456	375	14	401	401	NUM
ejpam-2456	375	15	396	396	NUM
ejpam-2456	375	16	+	+	CCONJ
ejpam-2456	375	17	òm	òm	PRON
ejpam-2456	375	18	�	�	PROPN
ejpam-2456	375	19	m0	m0	PROPN
ejpam-2456	375	20	l	l	PROPN
ejpam-2456	375	21	�	�	PROPN
ejpam-2456	376	1	òm	òm	ADP
ejpam-2456	376	2	em	em	PRON
ejpam-2456	376	3	em1n+	em1n+	PROPN
ejpam-2456	376	4	1	1	NUM
ejpam-2456	376	5	�	�	NOUN
ejpam-2456	376	6	+	+	CCONJ
ejpam-2456	376	7	òm	òm	INTJ
ejpam-2456	376	8	em	em	PROPN
ejpam-2456	376	9	em1nh	em1nh	NOUN
ejpam-2456	376	10	�	�	PROPN
ejpam-2456	376	11	‖φ‖b	‖φ‖b	PROPN
ejpam-2456	377	1	+	+	CCONJ
ejpam-2456	377	2	òm	òm	INTJ
ejpam-2456	377	3	em	em	PROPN
ejpam-2456	377	4	em1m0	em1m0	PROPN
ejpam-2456	377	5	ln	ln	ADJ
ejpam-2456	377	6	�	�	PROPN
ejpam-2456	377	7	kn|by|+	kn|by|+	PROPN
ejpam-2456	377	8	(	(	PUNCT
ejpam-2456	377	9	mn	mn	NOUN
ejpam-2456	377	10	+	+	PROPN
ejpam-2456	377	11	l	l	NOUN
ejpam-2456	377	12	φ)‖φ‖b	φ)‖φ‖b	NOUN
ejpam-2456	377	13	�	�	PROPN
ejpam-2456	378	1	+	+	PROPN
ejpam-2456	378	2	m0	m0	PROPN
ejpam-2456	378	3	l	l	PROPN
ejpam-2456	378	4	�	�	PROPN
ejpam-2456	378	5	kn|z(t)|+	kn|z(t)|+	PROPN
ejpam-2456	378	6	(	(	PUNCT
ejpam-2456	378	7	mn	mn	PROPN
ejpam-2456	379	1	+	+	PROPN
ejpam-2456	379	2	l	l	X
ejpam-2456	379	3	φ	φ	NOUN
ejpam-2456	379	4	+	+	CCONJ
ejpam-2456	379	5	knòmh)‖φ‖b	knòmh)‖φ‖b	ADJ
ejpam-2456	379	6	�	�	NOUN
ejpam-2456	379	7	+	+	CCONJ
ejpam-2456	379	8	òm	òm	X
ejpam-2456	379	9	l	l	NOUN
ejpam-2456	379	10	∫	∫	PROPN
ejpam-2456	379	11	t	t	PROPN
ejpam-2456	379	12	0	0	NUM
ejpam-2456	379	13	�	�	PROPN
ejpam-2456	379	14	kn|z(s)|+	kn|z(s)|+	PROPN
ejpam-2456	379	15	cn	cn	PROPN
ejpam-2456	379	16	�	�	PROPN
ejpam-2456	379	17	ds+	ds+	PROPN
ejpam-2456	379	18	òm2	òm2	PROPN
ejpam-2456	379	19	em	em	PRON
ejpam-2456	379	20	em1	em1	PROPN
ejpam-2456	379	21	ln	ln	PROPN
ejpam-2456	379	22	∫	∫	PROPN
ejpam-2456	379	23	n	n	CCONJ
ejpam-2456	379	24	0	0	NUM
ejpam-2456	379	25	�	�	PROPN
ejpam-2456	379	26	kn|z(τ)|+	kn|z(τ)|+	PROPN
ejpam-2456	379	27	cn	cn	PROPN
ejpam-2456	379	28	�	�	PROPN
ejpam-2456	379	29	dτ	dτ	PROPN
ejpam-2456	379	30	+	+	X
ejpam-2456	379	31	òm2	òm2	PROPN
ejpam-2456	379	32	em	em	PROPN
ejpam-2456	379	33	em1n	em1n	PROPN
ejpam-2456	379	34	∫	∫	PROPN
ejpam-2456	379	35	n	n	CCONJ
ejpam-2456	379	36	0	0	NUM
ejpam-2456	379	37	p(τ	p(τ	PROPN
ejpam-2456	379	38	)	)	PUNCT
ejpam-2456	379	39	ψ	ψ	X
ejpam-2456	379	40	�	�	PROPN
ejpam-2456	379	41	kn|z(τ)|+	kn|z(τ)|+	PROPN
ejpam-2456	379	42	cn	cn	PROPN
ejpam-2456	379	43	�	�	PROPN
ejpam-2456	379	44	dτ	dτ	PROPN
ejpam-2456	379	45	+	+	CCONJ
ejpam-2456	379	46	òm	òm	INTJ
ejpam-2456	379	47	∫	∫	PROPN
ejpam-2456	379	48	t	t	PROPN
ejpam-2456	379	49	0	0	NUM
ejpam-2456	379	50	p(s	p(s	PROPN
ejpam-2456	379	51	)	)	PUNCT
ejpam-2456	379	52	ψ	ψ	NOUN
ejpam-2456	379	53	�	�	PROPN
ejpam-2456	379	54	kn|z(s)|	kn|z(s)|	PROPN
ejpam-2456	379	55	λ	λ	PROPN
ejpam-2456	379	56	+	+	CCONJ
ejpam-2456	379	57	cn	cn	PROPN
ejpam-2456	379	58	�	�	PROPN
ejpam-2456	379	59	ds	ds	PROPN
ejpam-2456	379	60	.	.	PUNCT
ejpam-2456	380	1	we	we	PRON
ejpam-2456	380	2	consider	consider	VERB
ejpam-2456	380	3	the	the	DET
ejpam-2456	380	4	function	function	NOUN
ejpam-2456	380	5	eu(t	eu(t	PUNCT
ejpam-2456	380	6	)	)	PUNCT
ejpam-2456	380	7	:	:	PUNCT
ejpam-2456	380	8	=	=	SYM
ejpam-2456	380	9	supθ∈[0,t	supθ∈[0,t	NOUN
ejpam-2456	380	10	]	]	X
ejpam-2456	380	11	|z(θ	|z(θ	NOUN
ejpam-2456	380	12	)	)	PUNCT
ejpam-2456	380	13	|	|	ADV
ejpam-2456	380	14	then	then	ADV
ejpam-2456	380	15	by	by	ADP
ejpam-2456	380	16	the	the	DET
ejpam-2456	380	17	nondecreasing	nondecreasing	ADJ
ejpam-2456	380	18	character	character	NOUN
ejpam-2456	380	19	of	of	ADP
ejpam-2456	380	20	ψ	ψ	PROPN
ejpam-2456	380	21	,	,	PUNCT
ejpam-2456	380	22	we	we	PRON
ejpam-2456	380	23	obtain	obtain	VERB
ejpam-2456	380	24	for	for	ADP
ejpam-2456	380	25	βn	βn	NOUN
ejpam-2456	380	26	:	:	PUNCT
ejpam-2456	380	27	=	=	SYM
ejpam-2456	380	28	�	�	PROPN
ejpam-2456	380	29	(	(	PUNCT
ejpam-2456	380	30	òm	òm	INTJ
ejpam-2456	380	31	+	+	NUM
ejpam-2456	380	32	1)m0	1)m0	NUM
ejpam-2456	380	33	l	l	NOUN
ejpam-2456	380	34	+	+	CCONJ
ejpam-2456	380	35	òm	òm	PRON
ejpam-2456	380	36	ln	ln	ADJ
ejpam-2456	380	37	�	�	PROPN
ejpam-2456	380	38	�	�	PROPN
ejpam-2456	380	39	òm	òm	ADP
ejpam-2456	380	40	em	em	PRON
ejpam-2456	380	41	em1n+	em1n+	PROPN
ejpam-2456	380	42	1	1	NUM
ejpam-2456	380	43	�	�	NOUN
ejpam-2456	380	44	+	+	CCONJ
ejpam-2456	380	45	òm	òm	INTJ
ejpam-2456	380	46	em	em	PROPN
ejpam-2456	380	47	em1n	em1n	PROPN
ejpam-2456	380	48	�	�	PROPN
ejpam-2456	380	49	1	1	NUM
ejpam-2456	380	50	+	+	PROPN
ejpam-2456	380	51	knm0	knm0	PROPN
ejpam-2456	380	52	l	l	PROPN
ejpam-2456	380	53	�	�	PROPN
ejpam-2456	380	54	|by|	|by|	PROPN
ejpam-2456	380	55	+	+	PROPN
ejpam-2456	380	56	�	�	PROPN
ejpam-2456	380	57	�	�	PROPN
ejpam-2456	380	58	òm	òm	ADP
ejpam-2456	380	59	em	em	PRON
ejpam-2456	380	60	em1n+	em1n+	PROPN
ejpam-2456	380	61	1	1	NUM
ejpam-2456	380	62	�	�	PROPN
ejpam-2456	380	63	m0	m0	PROPN
ejpam-2456	380	64	l	l	PROPN
ejpam-2456	380	65	�	�	PROPN
ejpam-2456	381	1	òm	òm	PROPN
ejpam-2456	381	2	+	+	PROPN
ejpam-2456	381	3	mn	mn	PROPN
ejpam-2456	381	4	+	+	PROPN
ejpam-2456	381	5	l	l	PROPN
ejpam-2456	381	6	φ	φ	PROPN
ejpam-2456	381	7	�	�	PROPN
ejpam-2456	381	8	+	+	NUM
ejpam-2456	381	9	òmh	òmh	PROPN
ejpam-2456	381	10	�	�	PROPN
ejpam-2456	381	11	òm	òm	INTJ
ejpam-2456	381	12	em	em	PRON
ejpam-2456	381	13	em1nm0	em1nm0	PROPN
ejpam-2456	381	14	lkn	lkn	PROPN
ejpam-2456	381	15	�	�	PROPN
ejpam-2456	381	16	�	�	PROPN
ejpam-2456	381	17	‖φ‖b	‖φ‖b	PROPN
ejpam-2456	381	18	and	and	CCONJ
ejpam-2456	381	19	for	for	ADP
ejpam-2456	381	20	λ	λ	PROPN
ejpam-2456	381	21	<	<	X
ejpam-2456	381	22	1	1	NUM
ejpam-2456	381	23	,	,	PUNCT
ejpam-2456	381	24	eu(t	eu(t	PUNCT
ejpam-2456	381	25	)	)	PUNCT
ejpam-2456	381	26	λ	λ	PROPN
ejpam-2456	381	27	�	�	PROPN
ejpam-2456	381	28	1−m0	1−m0	NUM
ejpam-2456	381	29	lkn	lkn	PROPN
ejpam-2456	381	30	�	�	PROPN
ejpam-2456	381	31	≤βn	≤βn	PROPN
ejpam-2456	381	32	+	+	CCONJ
ejpam-2456	381	33	òm	òm	PROPN
ejpam-2456	381	34	l	l	NOUN
ejpam-2456	381	35	�	�	PROPN
ejpam-2456	382	1	òm	òm	ADP
ejpam-2456	382	2	em	em	PRON
ejpam-2456	382	3	em1n+	em1n+	PROPN
ejpam-2456	382	4	1	1	NUM
ejpam-2456	382	5	�	�	PROPN
ejpam-2456	382	6	∫	∫	PROPN
ejpam-2456	382	7	n	n	CCONJ
ejpam-2456	382	8	0	0	NUM
ejpam-2456	382	9	�	�	PROPN
ejpam-2456	382	10	kneu(s	kneu(s	PROPN
ejpam-2456	382	11	)	)	PUNCT
ejpam-2456	382	12	λ	λ	PROPN
ejpam-2456	382	13	+	+	CCONJ
ejpam-2456	382	14	cn	cn	X
ejpam-2456	382	15	�	�	PROPN
ejpam-2456	382	16	ds	ds	PROPN
ejpam-2456	382	17	+	+	CCONJ
ejpam-2456	382	18	òm	òm	PRON
ejpam-2456	382	19	�	�	PROPN
ejpam-2456	382	20	òm	òm	INTJ
ejpam-2456	382	21	em	em	PRON
ejpam-2456	382	22	em1n+	em1n+	PROPN
ejpam-2456	382	23	1	1	NUM
ejpam-2456	382	24	�	�	PROPN
ejpam-2456	382	25	∫	∫	PROPN
ejpam-2456	382	26	n	n	CCONJ
ejpam-2456	382	27	0	0	NUM
ejpam-2456	382	28	p(s	p(s	NUM
ejpam-2456	382	29	)	)	PUNCT
ejpam-2456	382	30	ψ	ψ	X
ejpam-2456	382	31	�	�	PROPN
ejpam-2456	382	32	kneu(s	kneu(s	PROPN
ejpam-2456	382	33	)	)	PUNCT
ejpam-2456	382	34	λ	λ	PROPN
ejpam-2456	382	35	+	+	CCONJ
ejpam-2456	382	36	cn	cn	PROPN
ejpam-2456	382	37	�	�	PROPN
ejpam-2456	382	38	ds	ds	PROPN
ejpam-2456	382	39	.	.	PUNCT
ejpam-2456	383	1	we	we	PRON
ejpam-2456	383	2	consider	consider	VERB
ejpam-2456	383	3	the	the	DET
ejpam-2456	383	4	function	function	NOUN
ejpam-2456	383	5	µ	µ	PRON
ejpam-2456	383	6	defined	define	VERB
ejpam-2456	383	7	by	by	ADP
ejpam-2456	383	8	µ(t	µ(t	ADJ
ejpam-2456	383	9	)	)	PUNCT
ejpam-2456	383	10	=	=	SYM
ejpam-2456	383	11	sups∈[0,t	sups∈[0,t	ADJ
ejpam-2456	383	12	]	]	X
ejpam-2456	383	13	kneu(s	kneu(s	NOUN
ejpam-2456	383	14	)	)	PUNCT
ejpam-2456	383	15	λ	λ	PROPN
ejpam-2456	383	16	+	+	CCONJ
ejpam-2456	383	17	cn	cn	PROPN
ejpam-2456	383	18	for	for	ADP
ejpam-2456	383	19	t	t	PROPN
ejpam-2456	383	20	∈	∈	PROPN
ejpam-2456	383	21	j	j	PROPN
ejpam-2456	383	22	.	.	PUNCT
ejpam-2456	384	1	let	let	VERB
ejpam-2456	384	2	t	t	X
ejpam-2456	384	3	?	?	PUNCT
ejpam-2456	385	1	∈	∈	PROPN
ejpam-2456	386	1	[	[	X
ejpam-2456	386	2	0	0	NUM
ejpam-2456	386	3	,	,	PUNCT
ejpam-2456	386	4	t	t	PROPN
ejpam-2456	386	5	]	]	PUNCT
ejpam-2456	386	6	be	be	AUX
ejpam-2456	386	7	such	such	ADJ
ejpam-2456	386	8	that	that	SCONJ
ejpam-2456	386	9	µ(t	µ(t	ADJ
ejpam-2456	386	10	)	)	PUNCT
ejpam-2456	386	11	=	=	SYM
ejpam-2456	386	12	knu(t	knu(t	PROPN
ejpam-2456	386	13	?	?	PUNCT
ejpam-2456	386	14	)	)	PUNCT
ejpam-2456	387	1	λ	λ	PROPN
ejpam-2456	387	2	+	+	CCONJ
ejpam-2456	388	1	cn	cn	PROPN
ejpam-2456	388	2	.	.	PUNCT
ejpam-2456	389	1	by	by	ADP
ejpam-2456	389	2	the	the	DET
ejpam-2456	389	3	previous	previous	ADJ
ejpam-2456	389	4	inequality	inequality	NOUN
ejpam-2456	389	5	,	,	PUNCT
ejpam-2456	389	6	we	we	PRON
ejpam-2456	389	7	have	have	VERB
ejpam-2456	389	8	for	for	ADP
ejpam-2456	389	9	γn	γn	NOUN
ejpam-2456	389	10	:	:	PUNCT
ejpam-2456	389	11	=	=	SYM
ejpam-2456	389	12	cn	cn	PROPN
ejpam-2456	389	13	+	+	CCONJ
ejpam-2456	389	14	knβn	knβn	PROPN
ejpam-2456	389	15	1−m0	1−m0	NUM
ejpam-2456	389	16	lkn	lkn	PROPN
ejpam-2456	389	17	,	,	PUNCT
ejpam-2456	389	18	then	then	ADV
ejpam-2456	389	19	we	we	PRON
ejpam-2456	389	20	obtain	obtain	VERB
ejpam-2456	389	21	for	for	ADP
ejpam-2456	389	22	t	t	PROPN
ejpam-2456	389	23	∈	∈	PROPN
ejpam-2456	390	1	[	[	X
ejpam-2456	390	2	0	0	NUM
ejpam-2456	390	3	,	,	PUNCT
ejpam-2456	390	4	n	n	CCONJ
ejpam-2456	390	5	]	]	PUNCT
ejpam-2456	390	6	µ(t)≤	µ(t)≤	NOUN
ejpam-2456	390	7	γn	γn	NOUN
ejpam-2456	390	8	+	+	CCONJ
ejpam-2456	390	9	knòm	knòm	PROPN
ejpam-2456	390	10	1−m0	1−m0	NUM
ejpam-2456	390	11	lkn	lkn	PROPN
ejpam-2456	390	12	�	�	PROPN
ejpam-2456	391	1	òm	òm	ADP
ejpam-2456	391	2	em	em	PRON
ejpam-2456	391	3	em1n+	em1n+	PROPN
ejpam-2456	391	4	1	1	NUM
ejpam-2456	391	5	�	�	PROPN
ejpam-2456	391	6	∫	∫	PROPN
ejpam-2456	391	7	n	n	CCONJ
ejpam-2456	391	8	0	0	NUM
ejpam-2456	391	9	�	�	PROPN
ejpam-2456	391	10	lµ(s	lµ(s	PROPN
ejpam-2456	391	11	)	)	PUNCT
ejpam-2456	392	1	+	+	CCONJ
ejpam-2456	392	2	p(s	p(s	X
ejpam-2456	392	3	)	)	PUNCT
ejpam-2456	392	4	ψ(µ(s	ψ(µ(s	PROPN
ejpam-2456	392	5	)	)	PUNCT
ejpam-2456	392	6	)	)	PUNCT
ejpam-2456	392	7	�	�	PROPN
ejpam-2456	392	8	ds	ds	AUX
ejpam-2456	392	9	.	.	PROPN
ejpam-2456	392	10	set	set	VERB
ejpam-2456	392	11	ζ(t	ζ(t	PROPN
ejpam-2456	392	12	)	)	PUNCT
ejpam-2456	392	13	:	:	PUNCT
ejpam-2456	392	14	=	=	SYM
ejpam-2456	392	15	max(l	max(l	PROPN
ejpam-2456	392	16	;	;	PUNCT
ejpam-2456	392	17	p(t	p(t	NOUN
ejpam-2456	392	18	)	)	PUNCT
ejpam-2456	392	19	)	)	PUNCT
ejpam-2456	392	20	for	for	ADP
ejpam-2456	392	21	t	t	PROPN
ejpam-2456	392	22	∈	∈	PROPN
ejpam-2456	393	1	[	[	X
ejpam-2456	393	2	0	0	NUM
ejpam-2456	393	3	,	,	PUNCT
ejpam-2456	393	4	n	n	CCONJ
ejpam-2456	393	5	]	]	PUNCT
ejpam-2456	393	6	.	.	PUNCT
ejpam-2456	394	1	consequently	consequently	ADV
ejpam-2456	394	2	,	,	PUNCT
ejpam-2456	394	3	we	we	PRON
ejpam-2456	394	4	get	get	VERB
ejpam-2456	394	5	‖z‖n	‖z‖n	NOUN
ejpam-2456	394	6	γn	γn	ADP
ejpam-2456	394	7	+	+	CCONJ
ejpam-2456	394	8	knòm	knòm	PROPN
ejpam-2456	394	9	1−m0	1−m0	NUM
ejpam-2456	394	10	lkn	lkn	PROPN
ejpam-2456	394	11	�	�	PROPN
ejpam-2456	395	1	òm	òm	ADP
ejpam-2456	395	2	em	em	PRON
ejpam-2456	395	3	em1n+	em1n+	PROPN
ejpam-2456	395	4	1	1	NUM
ejpam-2456	395	5	�	�	PROPN
ejpam-2456	395	6	�	�	PROPN
ejpam-2456	395	7	‖z‖n	‖z‖n	PROPN
ejpam-2456	395	8	+	+	PROPN
ejpam-2456	395	9	ψ(‖z‖n	ψ(‖z‖n	PROPN
ejpam-2456	395	10	)	)	PUNCT
ejpam-2456	395	11	�	�	PROPN
ejpam-2456	395	12	ψ(‖z‖n)‖ζ‖l1	ψ(‖z‖n)‖ζ‖l1	PUNCT
ejpam-2456	395	13	≤	≤	NOUN
ejpam-2456	395	14	1	1	NUM
ejpam-2456	395	15	.	.	PUNCT
ejpam-2456	396	1	then	then	ADV
ejpam-2456	396	2	by	by	ADP
ejpam-2456	396	3	the	the	DET
ejpam-2456	396	4	condition	condition	NOUN
ejpam-2456	396	5	(	(	PUNCT
ejpam-2456	396	6	11	11	NUM
ejpam-2456	396	7	)	)	PUNCT
ejpam-2456	396	8	,	,	PUNCT
ejpam-2456	396	9	there	there	PRON
ejpam-2456	396	10	exists	exist	VERB
ejpam-2456	396	11	a	a	DET
ejpam-2456	396	12	constant	constant	ADJ
ejpam-2456	396	13	m	m	NOUN
ejpam-2456	396	14	n	n	NUM
ejpam-2456	396	15	?	?	PUNCT
ejpam-2456	396	16	?	?	PUNCT
ejpam-2456	397	1	such	such	ADJ
ejpam-2456	397	2	that	that	PRON
ejpam-2456	397	3	µ(t	µ(t	ADJ
ejpam-2456	397	4	)	)	PUNCT
ejpam-2456	397	5	≤	≤	NUM
ejpam-2456	397	6	m	m	VERB
ejpam-2456	397	7	n	n	NOUN
ejpam-2456	397	8	?	?	PUNCT
ejpam-2456	397	9	?	?	PUNCT
ejpam-2456	397	10	.	.	PUNCT
ejpam-2456	398	1	since	since	SCONJ
ejpam-2456	398	2	‖z‖n	‖z‖n	NOUN
ejpam-2456	398	3	≤	≤	NOUN
ejpam-2456	398	4	µ(t	µ(t	ADJ
ejpam-2456	398	5	)	)	PUNCT
ejpam-2456	398	6	,	,	PUNCT
ejpam-2456	398	7	we	we	PRON
ejpam-2456	398	8	have	have	AUX
ejpam-2456	398	9	‖z‖n	‖z‖n	VERB
ejpam-2456	398	10	≤	≤	NUM
ejpam-2456	398	11	m	m	PROPN
ejpam-2456	398	12	n	n	NOUN
ejpam-2456	398	13	?	?	PUNCT
ejpam-2456	398	14	?	?	PUNCT
ejpam-2456	398	15	.	.	PUNCT
ejpam-2456	399	1	this	this	PRON
ejpam-2456	399	2	shows	show	VERB
ejpam-2456	399	3	that	that	SCONJ
ejpam-2456	399	4	the	the	DET
ejpam-2456	399	5	set	set	NOUN
ejpam-2456	399	6	ee	ee	PROPN
ejpam-2456	399	7	is	be	AUX
ejpam-2456	399	8	bounded	bound	VERB
ejpam-2456	399	9	,	,	PUNCT
ejpam-2456	399	10	i.e.	i.e.	X
ejpam-2456	399	11	the	the	DET
ejpam-2456	399	12	statement	statement	NOUN
ejpam-2456	399	13	(	(	PUNCT
ejpam-2456	399	14	c2	c2	PROPN
ejpam-2456	399	15	)	)	PUNCT
ejpam-2456	399	16	in	in	ADP
ejpam-2456	399	17	theorem	theorem	NOUN
ejpam-2456	399	18	1	1	NUM
ejpam-2456	399	19	does	do	AUX
ejpam-2456	399	20	not	not	PART
ejpam-2456	399	21	hold	hold	VERB
ejpam-2456	399	22	.	.	PUNCT
ejpam-2456	400	1	then	then	ADV
ejpam-2456	400	2	the	the	DET
ejpam-2456	400	3	nonlinear	nonlinear	ADJ
ejpam-2456	400	4	alternative	alternative	NOUN
ejpam-2456	400	5	due	due	ADP
ejpam-2456	400	6	to	to	ADP
ejpam-2456	400	7	avramescu	avramescu	NOUN
ejpam-2456	400	8	[	[	X
ejpam-2456	400	9	5	5	NUM
ejpam-2456	400	10	]	]	PUNCT
ejpam-2456	400	11	implies	imply	VERB
ejpam-2456	400	12	that	that	SCONJ
ejpam-2456	400	13	(	(	PUNCT
ejpam-2456	400	14	c1	c1	NOUN
ejpam-2456	400	15	)	)	PUNCT
ejpam-2456	400	16	holds	hold	VERB
ejpam-2456	400	17	:	:	PUNCT
ejpam-2456	400	18	i.e.	i.e.	X
ejpam-2456	400	19	the	the	DET
ejpam-2456	400	20	operator	operator	NOUN
ejpam-2456	400	21	ef	ef	NOUN
ejpam-2456	400	22	+	+	CCONJ
ejpam-2456	400	23	g	g	PROPN
ejpam-2456	400	24	has	have	VERB
ejpam-2456	400	25	a	a	DET
ejpam-2456	400	26	fixed	fix	VERB
ejpam-2456	400	27	-	-	PUNCT
ejpam-2456	400	28	point	point	NOUN
ejpam-2456	400	29	z	z	NOUN
ejpam-2456	400	30	?	?	PUNCT
ejpam-2456	400	31	?	?	PUNCT
ejpam-2456	400	32	.	.	PUNCT
ejpam-2456	401	1	then	then	ADV
ejpam-2456	401	2	,	,	PUNCT
ejpam-2456	401	3	there	there	PRON
ejpam-2456	401	4	exists	exist	VERB
ejpam-2456	401	5	at	at	ADP
ejpam-2456	401	6	least	least	ADJ
ejpam-2456	401	7	y??(t	y??(t	ADJ
ejpam-2456	401	8	)	)	PUNCT
ejpam-2456	401	9	=	=	SYM
ejpam-2456	401	10	z??(t)+	z??(t)+	PROPN
ejpam-2456	401	11	x(t	x(t	PROPN
ejpam-2456	401	12	)	)	PUNCT
ejpam-2456	401	13	,	,	PUNCT
ejpam-2456	401	14	t	t	PROPN
ejpam-2456	401	15	∈	∈	PROPN
ejpam-2456	401	16	r	r	NOUN
ejpam-2456	401	17	which	which	PRON
ejpam-2456	401	18	is	be	AUX
ejpam-2456	401	19	a	a	DET
ejpam-2456	401	20	fixed	fixed	ADJ
ejpam-2456	401	21	point	point	NOUN
ejpam-2456	401	22	of	of	ADP
ejpam-2456	401	23	the	the	DET
ejpam-2456	401	24	operator	operator	NOUN
ejpam-2456	401	25	en	en	ADV
ejpam-2456	401	26	,	,	PUNCT
ejpam-2456	401	27	which	which	PRON
ejpam-2456	401	28	is	be	AUX
ejpam-2456	401	29	a	a	DET
ejpam-2456	401	30	mild	mild	ADJ
ejpam-2456	401	31	solution	solution	NOUN
ejpam-2456	401	32	of	of	ADP
ejpam-2456	401	33	the	the	DET
ejpam-2456	401	34	problem	problem	NOUN
ejpam-2456	401	35	(	(	PUNCT
ejpam-2456	401	36	2	2	NUM
ejpam-2456	401	37	)	)	PUNCT
ejpam-2456	401	38	.	.	PUNCT
ejpam-2456	402	1	thus	thus	ADV
ejpam-2456	402	2	the	the	DET
ejpam-2456	402	3	neutral	neutral	ADJ
ejpam-2456	402	4	evolution	evolution	NOUN
ejpam-2456	402	5	system	system	NOUN
ejpam-2456	402	6	(	(	PUNCT
ejpam-2456	402	7	2	2	X
ejpam-2456	402	8	)	)	PUNCT
ejpam-2456	402	9	is	be	AUX
ejpam-2456	402	10	controllable	controllable	ADJ
ejpam-2456	402	11	on	on	ADP
ejpam-2456	402	12	r.	r.	PROPN
ejpam-2456	402	13	then	then	ADV
ejpam-2456	402	14	,	,	PUNCT
ejpam-2456	402	15	the	the	DET
ejpam-2456	402	16	proof	proof	NOUN
ejpam-2456	402	17	is	be	AUX
ejpam-2456	402	18	complete	complete	ADJ
ejpam-2456	402	19	.	.	PUNCT
ejpam-2456	403	1	d.	d.	PROPN
ejpam-2456	403	2	aoued	aoued	PROPN
ejpam-2456	403	3	,	,	PUNCT
ejpam-2456	403	4	s.	s.	PROPN
ejpam-2456	403	5	baghli	baghli	PROPN
ejpam-2456	403	6	-	-	PUNCT
ejpam-2456	403	7	bendimerad	bendimerad	PROPN
ejpam-2456	403	8	/	/	SYM
ejpam-2456	403	9	eur	eur	PROPN
ejpam-2456	403	10	.	.	PUNCT
ejpam-2456	404	1	j.	j.	PROPN
ejpam-2456	404	2	pure	pure	PROPN
ejpam-2456	404	3	appl	appl	PROPN
ejpam-2456	404	4	.	.	PROPN
ejpam-2456	404	5	math	math	PROPN
ejpam-2456	404	6	,	,	PUNCT
ejpam-2456	404	7	9	9	NUM
ejpam-2456	404	8	(	(	PUNCT
ejpam-2456	404	9	2016	2016	NUM
ejpam-2456	404	10	)	)	PUNCT
ejpam-2456	404	11	,	,	PUNCT
ejpam-2456	404	12	383	383	NUM
ejpam-2456	404	13	-	-	SYM
ejpam-2456	404	14	401	401	NUM
ejpam-2456	404	15	397	397	NUM
ejpam-2456	404	16	5	5	NUM
ejpam-2456	404	17	.	.	PUNCT
ejpam-2456	405	1	examples	example	NOUN
ejpam-2456	405	2	to	to	PART
ejpam-2456	405	3	illustrate	illustrate	VERB
ejpam-2456	405	4	the	the	DET
ejpam-2456	405	5	previous	previous	ADJ
ejpam-2456	405	6	results	result	NOUN
ejpam-2456	405	7	,	,	PUNCT
ejpam-2456	405	8	we	we	PRON
ejpam-2456	405	9	give	give	VERB
ejpam-2456	405	10	in	in	ADP
ejpam-2456	405	11	this	this	DET
ejpam-2456	405	12	section	section	NOUN
ejpam-2456	405	13	two	two	NUM
ejpam-2456	405	14	examples	example	NOUN
ejpam-2456	405	15	.	.	PUNCT
ejpam-2456	406	1	example	example	NOUN
ejpam-2456	406	2	1	1	NUM
ejpam-2456	406	3	consider	consider	VERB
ejpam-2456	406	4	the	the	DET
ejpam-2456	406	5	partial	partial	ADJ
ejpam-2456	406	6	functional	functional	ADJ
ejpam-2456	406	7	differential	differential	NOUN
ejpam-2456	406	8	equation	equation	NOUN
ejpam-2456	406	9	∂	∂	NUM
ejpam-2456	406	10	z	z	NOUN
ejpam-2456	406	11	∂	∂	NOUN
ejpam-2456	406	12	t	t	PROPN
ejpam-2456	406	13	(	(	PUNCT
ejpam-2456	406	14	t	t	PROPN
ejpam-2456	406	15	,	,	PUNCT
ejpam-2456	406	16	ξ	ξ	NOUN
ejpam-2456	406	17	)	)	PUNCT
ejpam-2456	406	18	=	=	SYM
ejpam-2456	406	19	∂	∂	NUM
ejpam-2456	406	20	2z(t	2z(t	NUM
ejpam-2456	406	21	,	,	PUNCT
ejpam-2456	406	22	ξ	ξ	NOUN
ejpam-2456	406	23	)	)	PUNCT
ejpam-2456	406	24	∂	∂	NUM
ejpam-2456	407	1	ξ2	ξ2	NOUN
ejpam-2456	408	1	+	+	CCONJ
ejpam-2456	408	2	d(ξ)u(t	d(ξ)u(t	NUM
ejpam-2456	408	3	)	)	PUNCT
ejpam-2456	409	1	+	+	CCONJ
ejpam-2456	409	2	a0(t	a0(t	PROPN
ejpam-2456	409	3	,	,	PUNCT
ejpam-2456	409	4	ξ)z(t	ξ)z(t	NOUN
ejpam-2456	409	5	,	,	PUNCT
ejpam-2456	409	6	ξ	ξ	X
ejpam-2456	409	7	)	)	PUNCT
ejpam-2456	409	8	+	+	CCONJ
ejpam-2456	409	9	∫	∫	PROPN
ejpam-2456	409	10	0	0	NUM
ejpam-2456	410	1	−∞	−∞	ADP
ejpam-2456	410	2	a1(s−	a1(s−	NOUN
ejpam-2456	410	3	t)z	t)z	NOUN
ejpam-2456	410	4	�	�	PROPN
ejpam-2456	410	5	s−ρ1(t)ρ2	s−ρ1(t)ρ2	NUM
ejpam-2456	410	6	�	�	PROPN
ejpam-2456	410	7	∫	∫	PROPN
ejpam-2456	410	8	π	π	PROPN
ejpam-2456	410	9	0	0	PUNCT
ejpam-2456	410	10	a2(θ	a2(θ	PROPN
ejpam-2456	410	11	)	)	PUNCT
ejpam-2456	410	12	|z(t	|z(t	PROPN
ejpam-2456	410	13	,	,	PUNCT
ejpam-2456	410	14	θ	θ	NOUN
ejpam-2456	410	15	)	)	PUNCT
ejpam-2456	410	16	|2dθ	|2dθ	NOUN
ejpam-2456	410	17	�	�	PROPN
ejpam-2456	410	18	,	,	PUNCT
ejpam-2456	410	19	ξ	ξ	PROPN
ejpam-2456	410	20	�	�	PROPN
ejpam-2456	410	21	ds	ds	PROPN
ejpam-2456	410	22	,	,	PUNCT
ejpam-2456	410	23	for	for	ADP
ejpam-2456	410	24	t	t	PROPN
ejpam-2456	410	25	≥	≥	NUM
ejpam-2456	410	26	0	0	NUM
ejpam-2456	410	27	,	,	PUNCT
ejpam-2456	410	28	ξ	ξ	PROPN
ejpam-2456	410	29	∈	∈	PROPN
ejpam-2456	411	1	[	[	X
ejpam-2456	411	2	0,π	0,π	X
ejpam-2456	411	3	]	]	X
ejpam-2456	411	4	,	,	PUNCT
ejpam-2456	411	5	z(t	z(t	NOUN
ejpam-2456	411	6	,	,	PUNCT
ejpam-2456	411	7	0	0	NUM
ejpam-2456	411	8	)	)	PUNCT
ejpam-2456	411	9	=	=	PUNCT
ejpam-2456	412	1	z(t	z(t	NOUN
ejpam-2456	412	2	,	,	PUNCT
ejpam-2456	412	3	π	π	X
ejpam-2456	412	4	)	)	PUNCT
ejpam-2456	412	5	=	=	SYM
ejpam-2456	412	6	0	0	NUM
ejpam-2456	412	7	,	,	PUNCT
ejpam-2456	412	8	for	for	ADP
ejpam-2456	412	9	t	t	PROPN
ejpam-2456	412	10	≥	≥	NUM
ejpam-2456	412	11	0	0	NUM
ejpam-2456	412	12	,	,	PUNCT
ejpam-2456	412	13	z(θ	z(θ	PROPN
ejpam-2456	412	14	,	,	PUNCT
ejpam-2456	412	15	ξ	ξ	X
ejpam-2456	412	16	)	)	PUNCT
ejpam-2456	412	17	=	=	SYM
ejpam-2456	412	18	z0(θ	z0(θ	PROPN
ejpam-2456	412	19	,	,	PUNCT
ejpam-2456	412	20	ξ	ξ	PROPN
ejpam-2456	412	21	)	)	PUNCT
ejpam-2456	412	22	,	,	PUNCT
ejpam-2456	412	23	for	for	ADP
ejpam-2456	412	24	−∞	−∞	X
ejpam-2456	412	25	<	<	X
ejpam-2456	412	26	θ	θ	PROPN
ejpam-2456	412	27	≤	≤	NUM
ejpam-2456	412	28	0	0	NUM
ejpam-2456	412	29	,	,	PUNCT
ejpam-2456	412	30	ξ	ξ	PROPN
ejpam-2456	412	31	∈	∈	PROPN
ejpam-2456	413	1	[	[	X
ejpam-2456	413	2	0,π	0,π	X
ejpam-2456	413	3	]	]	X
ejpam-2456	413	4	,	,	PUNCT
ejpam-2456	413	5	(	(	PUNCT
ejpam-2456	413	6	13	13	NUM
ejpam-2456	413	7	)	)	PUNCT
ejpam-2456	413	8	where	where	SCONJ
ejpam-2456	413	9	a	a	DET
ejpam-2456	413	10	:	:	PUNCT
ejpam-2456	413	11	r+	r+	NOUN
ejpam-2456	413	12	×	×	NOUN
ejpam-2456	413	13	[	[	X
ejpam-2456	413	14	0,π]→	0,π]→	X
ejpam-2456	413	15	r	r	NOUN
ejpam-2456	413	16	is	be	AUX
ejpam-2456	413	17	a	a	DET
ejpam-2456	413	18	continuous	continuous	ADJ
ejpam-2456	413	19	function	function	NOUN
ejpam-2456	413	20	and	and	CCONJ
ejpam-2456	413	21	is	be	AUX
ejpam-2456	413	22	uniformly	uniformly	ADV
ejpam-2456	413	23	hölder	hölder	NOUN
ejpam-2456	413	24	continuous	continuous	ADJ
ejpam-2456	413	25	in	in	ADP
ejpam-2456	413	26	t	t	PROPN
ejpam-2456	413	27	;	;	PUNCT
ejpam-2456	413	28	a0	a0	PROPN
ejpam-2456	413	29	:	:	PUNCT
ejpam-2456	413	30	r+	r+	NOUN
ejpam-2456	413	31	×	×	PROPN
ejpam-2456	413	32	[	[	X
ejpam-2456	413	33	0,π]→	0,π]→	X
ejpam-2456	413	34	r	r	NOUN
ejpam-2456	413	35	;	;	PUNCT
ejpam-2456	413	36	a1	a1	NOUN
ejpam-2456	413	37	:	:	PUNCT
ejpam-2456	413	38	r−→	r−→	PROPN
ejpam-2456	413	39	r	r	NOUN
ejpam-2456	413	40	;	;	PUNCT
ejpam-2456	413	41	a2	a2	NOUN
ejpam-2456	413	42	:	:	PUNCT
ejpam-2456	414	1	[	[	X
ejpam-2456	414	2	0,π]→	0,π]→	X
ejpam-2456	414	3	r	r	NOUN
ejpam-2456	414	4	;	;	PUNCT
ejpam-2456	414	5	ρi	ρi	NOUN
ejpam-2456	414	6	:	:	PUNCT
ejpam-2456	414	7	r+→	r+→	ADJ
ejpam-2456	414	8	r	r	NOUN
ejpam-2456	414	9	for	for	ADP
ejpam-2456	414	10	i	i	PRON
ejpam-2456	414	11	=	=	NOUN
ejpam-2456	414	12	1	1	NUM
ejpam-2456	414	13	,	,	PUNCT
ejpam-2456	414	14	2	2	NUM
ejpam-2456	414	15	;	;	PUNCT
ejpam-2456	414	16	z0	z0	PROPN
ejpam-2456	414	17	:	:	PUNCT
ejpam-2456	414	18	r−	r−	PROPN
ejpam-2456	414	19	×	×	NOUN
ejpam-2456	414	20	[	[	X
ejpam-2456	414	21	0,π	0,π	X
ejpam-2456	414	22	]	]	X
ejpam-2456	414	23	→	→	SYM
ejpam-2456	414	24	r	r	NOUN
ejpam-2456	414	25	and	and	CCONJ
ejpam-2456	414	26	d	d	NOUN
ejpam-2456	414	27	:	:	PUNCT
ejpam-2456	414	28	r+	r+	X
ejpam-2456	414	29	→	→	SYM
ejpam-2456	414	30	e	e	X
ejpam-2456	414	31	are	be	AUX
ejpam-2456	414	32	continuous	continuous	ADJ
ejpam-2456	414	33	functions	function	NOUN
ejpam-2456	414	34	.	.	PUNCT
ejpam-2456	415	1	u	u	NOUN
ejpam-2456	415	2	(	(	PUNCT
ejpam-2456	415	3	·	·	PUNCT
ejpam-2456	415	4	)	)	PUNCT
ejpam-2456	415	5	:	:	PUNCT
ejpam-2456	415	6	r+	r+	X
ejpam-2456	415	7	→	→	PUNCT
ejpam-2456	415	8	e	e	X
ejpam-2456	415	9	is	be	AUX
ejpam-2456	415	10	a	a	DET
ejpam-2456	415	11	given	give	VERB
ejpam-2456	415	12	control	control	NOUN
ejpam-2456	415	13	.	.	PUNCT
ejpam-2456	416	1	to	to	PART
ejpam-2456	416	2	study	study	VERB
ejpam-2456	416	3	this	this	DET
ejpam-2456	416	4	system	system	NOUN
ejpam-2456	416	5	,	,	PUNCT
ejpam-2456	416	6	we	we	PRON
ejpam-2456	416	7	consider	consider	VERB
ejpam-2456	416	8	the	the	DET
ejpam-2456	416	9	space	space	NOUN
ejpam-2456	416	10	e	e	NOUN
ejpam-2456	416	11	=	=	SYM
ejpam-2456	416	12	l2([0,π],r	l2([0,π],r	PROPN
ejpam-2456	416	13	)	)	PUNCT
ejpam-2456	416	14	and	and	CCONJ
ejpam-2456	416	15	the	the	DET
ejpam-2456	416	16	operator	operator	NOUN
ejpam-2456	416	17	a	a	PRON
ejpam-2456	416	18	:	:	PUNCT
ejpam-2456	416	19	d(a	d(a	PROPN
ejpam-2456	416	20	)	)	PUNCT
ejpam-2456	416	21	⊂	⊂	PROPN
ejpam-2456	417	1	e	e	X
ejpam-2456	417	2	→	→	SYM
ejpam-2456	417	3	e	e	X
ejpam-2456	417	4	given	give	VERB
ejpam-2456	417	5	by	by	ADP
ejpam-2456	417	6	aw	aw	INTJ
ejpam-2456	417	7	=	=	NOUN
ejpam-2456	417	8	w′′	w′′	NOUN
ejpam-2456	417	9	with	with	ADP
ejpam-2456	417	10	d(a	d(a	PROPN
ejpam-2456	417	11	)	)	PUNCT
ejpam-2456	417	12	:	:	PUNCT
ejpam-2456	417	13	=	=	PUNCT
ejpam-2456	417	14	{	{	PUNCT
ejpam-2456	417	15	w	w	NOUN
ejpam-2456	417	16	∈	∈	PROPN
ejpam-2456	417	17	e	e	NOUN
ejpam-2456	417	18	:	:	PUNCT
ejpam-2456	417	19	w′′	w′′	PROPN
ejpam-2456	417	20	∈	∈	PROPN
ejpam-2456	417	21	e	e	PROPN
ejpam-2456	417	22	,	,	PUNCT
ejpam-2456	417	23	w(0	w(0	PROPN
ejpam-2456	417	24	)	)	PUNCT
ejpam-2456	417	25	=	=	SYM
ejpam-2456	417	26	w(π	w(π	PROPN
ejpam-2456	417	27	)	)	PUNCT
ejpam-2456	417	28	=	=	PUNCT
ejpam-2456	418	1	0	0	NUM
ejpam-2456	418	2	}	}	PUNCT
ejpam-2456	418	3	.	.	PUNCT
ejpam-2456	419	1	it	it	PRON
ejpam-2456	419	2	is	be	AUX
ejpam-2456	419	3	well	well	ADV
ejpam-2456	419	4	known	know	VERB
ejpam-2456	419	5	that	that	SCONJ
ejpam-2456	419	6	a	a	PRON
ejpam-2456	419	7	is	be	AUX
ejpam-2456	419	8	the	the	DET
ejpam-2456	419	9	infinitesimal	infinitesimal	ADJ
ejpam-2456	419	10	generator	generator	NOUN
ejpam-2456	419	11	of	of	ADP
ejpam-2456	419	12	an	an	DET
ejpam-2456	419	13	analytic	analytic	ADJ
ejpam-2456	419	14	semigroup	semigroup	NOUN
ejpam-2456	419	15	{	{	PUNCT
ejpam-2456	419	16	t	t	NOUN
ejpam-2456	419	17	(	(	PUNCT
ejpam-2456	419	18	t)}t≥0	t)}t≥0	NOUN
ejpam-2456	419	19	on	on	ADP
ejpam-2456	419	20	e.	e.	PROPN
ejpam-2456	419	21	furthermore	furthermore	PROPN
ejpam-2456	419	22	,	,	PUNCT
ejpam-2456	419	23	a	a	PRON
ejpam-2456	419	24	has	have	VERB
ejpam-2456	419	25	discrete	discrete	ADJ
ejpam-2456	419	26	spectrum	spectrum	NOUN
ejpam-2456	419	27	with	with	ADP
ejpam-2456	419	28	eigenvalues	eigenvalues	PROPN
ejpam-2456	419	29	−n2	−n2	PROPN
ejpam-2456	419	30	,	,	PUNCT
ejpam-2456	419	31	n	n	PROPN
ejpam-2456	419	32	∈	∈	PROPN
ejpam-2456	419	33	n	n	CCONJ
ejpam-2456	419	34	,	,	PUNCT
ejpam-2456	419	35	and	and	CCONJ
ejpam-2456	419	36	corresponding	correspond	VERB
ejpam-2456	419	37	normalized	normalize	VERB
ejpam-2456	419	38	eigenfunctions	eigenfunction	NOUN
ejpam-2456	419	39	given	give	VERB
ejpam-2456	419	40	by	by	ADP
ejpam-2456	419	41	zn(ξ	zn(ξ	NOUN
ejpam-2456	419	42	)	)	PUNCT
ejpam-2456	419	43	=	=	SYM
ejpam-2456	419	44	sin(nξ	sin(nξ	NOUN
ejpam-2456	419	45	)	)	PUNCT
ejpam-2456	419	46	p	p	NOUN
ejpam-2456	419	47	2p	2p	NUM
ejpam-2456	419	48	π	π	NOUN
ejpam-2456	419	49	.	.	PUNCT
ejpam-2456	420	1	in	in	ADP
ejpam-2456	420	2	addition	addition	NOUN
ejpam-2456	420	3	,	,	PUNCT
ejpam-2456	420	4	{	{	PUNCT
ejpam-2456	420	5	zn	zn	NOUN
ejpam-2456	420	6	:	:	PUNCT
ejpam-2456	420	7	n	n	CCONJ
ejpam-2456	420	8	∈	∈	PROPN
ejpam-2456	420	9	n	n	CCONJ
ejpam-2456	420	10	}	}	PUNCT
ejpam-2456	420	11	is	be	AUX
ejpam-2456	420	12	an	an	DET
ejpam-2456	420	13	orthonormal	orthonormal	ADJ
ejpam-2456	420	14	basis	basis	NOUN
ejpam-2456	420	15	of	of	ADP
ejpam-2456	420	16	e	e	PROPN
ejpam-2456	420	17	and	and	CCONJ
ejpam-2456	420	18	t	t	PROPN
ejpam-2456	420	19	(	(	PUNCT
ejpam-2456	420	20	t)x	t)x	X
ejpam-2456	420	21	=	=	PUNCT
ejpam-2456	420	22	∑+∞	∑+∞	ADJ
ejpam-2456	420	23	n=1	n=1	PROPN
ejpam-2456	420	24	e−n2	e−n2	ADP
ejpam-2456	420	25	t(x	t(x	PROPN
ejpam-2456	420	26	,	,	PUNCT
ejpam-2456	420	27	zn)zn	zn)zn	NUM
ejpam-2456	420	28	for	for	ADP
ejpam-2456	420	29	x	x	SYM
ejpam-2456	420	30	∈	∈	PROPN
ejpam-2456	420	31	e	e	PROPN
ejpam-2456	420	32	and	and	CCONJ
ejpam-2456	420	33	t	t	PROPN
ejpam-2456	420	34	≥	≥	NUM
ejpam-2456	420	35	0	0	NUM
ejpam-2456	420	36	.	.	PUNCT
ejpam-2456	421	1	it	it	PRON
ejpam-2456	421	2	follows	follow	VERB
ejpam-2456	421	3	from	from	ADP
ejpam-2456	421	4	this	this	DET
ejpam-2456	421	5	representation	representation	NOUN
ejpam-2456	421	6	that	that	SCONJ
ejpam-2456	421	7	t	t	PROPN
ejpam-2456	421	8	(	(	PUNCT
ejpam-2456	421	9	t	t	PROPN
ejpam-2456	421	10	)	)	PUNCT
ejpam-2456	421	11	is	be	AUX
ejpam-2456	421	12	compact	compact	ADJ
ejpam-2456	421	13	for	for	ADP
ejpam-2456	421	14	every	every	DET
ejpam-2456	421	15	t	t	NOUN
ejpam-2456	421	16	>	>	X
ejpam-2456	421	17	0	0	PUNCT
ejpam-2456	421	18	and	and	CCONJ
ejpam-2456	421	19	that	that	DET
ejpam-2456	421	20	‖t	‖t	NOUN
ejpam-2456	421	21	(	(	PUNCT
ejpam-2456	421	22	t)‖	t)‖	NOUN
ejpam-2456	421	23	≤	≤	NOUN
ejpam-2456	421	24	e−t	e−t	NOUN
ejpam-2456	421	25	for	for	ADP
ejpam-2456	421	26	every	every	DET
ejpam-2456	421	27	t	t	PROPN
ejpam-2456	421	28	≥	≥	NOUN
ejpam-2456	421	29	0	0	NUM
ejpam-2456	421	30	.	.	PUNCT
ejpam-2456	422	1	on	on	ADP
ejpam-2456	422	2	the	the	DET
ejpam-2456	422	3	domain	domain	NOUN
ejpam-2456	422	4	d(a	d(a	PROPN
ejpam-2456	422	5	)	)	PUNCT
ejpam-2456	422	6	,	,	PUNCT
ejpam-2456	422	7	we	we	PRON
ejpam-2456	422	8	define	define	VERB
ejpam-2456	422	9	the	the	DET
ejpam-2456	422	10	operators	operator	NOUN
ejpam-2456	422	11	a(t	a(t	VERB
ejpam-2456	422	12	)	)	PUNCT
ejpam-2456	422	13	:	:	PUNCT
ejpam-2456	423	1	d(a	d(a	PROPN
ejpam-2456	423	2	)	)	PUNCT
ejpam-2456	424	1	⊂	⊂	PROPN
ejpam-2456	424	2	e→	e→	NOUN
ejpam-2456	424	3	e	e	NOUN
ejpam-2456	424	4	by	by	ADP
ejpam-2456	424	5	a(t)x(ξ	a(t)x(ξ	VERB
ejpam-2456	424	6	)	)	PUNCT
ejpam-2456	424	7	=	=	PRON
ejpam-2456	424	8	ax(ξ	ax(ξ	X
ejpam-2456	424	9	)	)	PUNCT
ejpam-2456	425	1	+	+	CCONJ
ejpam-2456	425	2	a0(t	a0(t	PROPN
ejpam-2456	425	3	,	,	PUNCT
ejpam-2456	425	4	ξ)x(ξ	ξ)x(ξ	NOUN
ejpam-2456	425	5	)	)	PUNCT
ejpam-2456	425	6	.	.	PUNCT
ejpam-2456	426	1	by	by	ADP
ejpam-2456	426	2	assuming	assume	VERB
ejpam-2456	426	3	that	that	SCONJ
ejpam-2456	426	4	a0	a0	PROPN
ejpam-2456	426	5	(	(	PUNCT
ejpam-2456	426	6	·	·	PUNCT
ejpam-2456	426	7	)	)	PUNCT
ejpam-2456	426	8	is	be	AUX
ejpam-2456	426	9	continuous	continuous	ADJ
ejpam-2456	426	10	and	and	CCONJ
ejpam-2456	426	11	that	that	SCONJ
ejpam-2456	426	12	a0(t	a0(t	PROPN
ejpam-2456	426	13	,	,	PUNCT
ejpam-2456	426	14	ξ	ξ	NOUN
ejpam-2456	426	15	)	)	PUNCT
ejpam-2456	426	16	≤	≤	NOUN
ejpam-2456	426	17	−δ0	−δ0	ADP
ejpam-2456	426	18	(	(	PUNCT
ejpam-2456	426	19	δ0	δ0	NOUN
ejpam-2456	426	20	>	>	X
ejpam-2456	426	21	0	0	NUM
ejpam-2456	426	22	)	)	PUNCT
ejpam-2456	426	23	for	for	ADP
ejpam-2456	426	24	every	every	DET
ejpam-2456	426	25	t	t	NOUN
ejpam-2456	426	26	∈	∈	PROPN
ejpam-2456	426	27	r	r	PROPN
ejpam-2456	426	28	,	,	PUNCT
ejpam-2456	426	29	ξ	ξ	PROPN
ejpam-2456	426	30	∈	∈	PROPN
ejpam-2456	426	31	[	[	X
ejpam-2456	426	32	0,π	0,π	X
ejpam-2456	426	33	]	]	X
ejpam-2456	426	34	,	,	PUNCT
ejpam-2456	426	35	it	it	PRON
ejpam-2456	426	36	follows	follow	VERB
ejpam-2456	426	37	that	that	SCONJ
ejpam-2456	426	38	the	the	DET
ejpam-2456	426	39	system	system	NOUN
ejpam-2456	426	40	u′(t	u′(t	NOUN
ejpam-2456	426	41	)	)	PUNCT
ejpam-2456	426	42	=	=	SYM
ejpam-2456	426	43	a(t)u(t	a(t)u(t	X
ejpam-2456	426	44	)	)	PUNCT
ejpam-2456	426	45	t	t	PROPN
ejpam-2456	426	46	≥	≥	NUM
ejpam-2456	426	47	s	s	PROPN
ejpam-2456	426	48	,	,	PUNCT
ejpam-2456	426	49	and	and	CCONJ
ejpam-2456	426	50	u(s	u(s	X
ejpam-2456	426	51	)	)	PUNCT
ejpam-2456	426	52	=	=	PUNCT
ejpam-2456	427	1	x	x	SYM
ejpam-2456	427	2	∈	∈	PROPN
ejpam-2456	427	3	e	e	NOUN
ejpam-2456	427	4	,	,	PUNCT
ejpam-2456	427	5	has	have	VERB
ejpam-2456	427	6	an	an	DET
ejpam-2456	427	7	associated	associated	ADJ
ejpam-2456	427	8	evolution	evolution	NOUN
ejpam-2456	427	9	family	family	NOUN
ejpam-2456	427	10	given	give	VERB
ejpam-2456	427	11	by	by	ADP
ejpam-2456	427	12	u(t	u(t	NOUN
ejpam-2456	427	13	,	,	PUNCT
ejpam-2456	427	14	s)x(ξ	s)x(ξ	PROPN
ejpam-2456	427	15	)	)	PUNCT
ejpam-2456	427	16	=	=	SYM
ejpam-2456	427	17	�	�	PROPN
ejpam-2456	427	18	t	t	PROPN
ejpam-2456	427	19	(	(	PUNCT
ejpam-2456	427	20	t	t	PROPN
ejpam-2456	427	21	−	−	PROPN
ejpam-2456	428	1	s)ex	s)ex	PROPN
ejpam-2456	428	2	p	p	PROPN
ejpam-2456	428	3	�	�	PROPN
ejpam-2456	428	4	∫	∫	PROPN
ejpam-2456	428	5	t	t	PROPN
ejpam-2456	428	6	s	s	PROPN
ejpam-2456	428	7	a0(τ	a0(τ	PROPN
ejpam-2456	428	8	,	,	PUNCT
ejpam-2456	428	9	ξ)dτ	ξ)dτ	PROPN
ejpam-2456	428	10	�	�	PROPN
ejpam-2456	428	11	x	x	SYM
ejpam-2456	428	12	�	�	PROPN
ejpam-2456	428	13	(	(	PUNCT
ejpam-2456	428	14	ξ	ξ	NOUN
ejpam-2456	428	15	)	)	PUNCT
ejpam-2456	428	16	.	.	PUNCT
ejpam-2456	429	1	from	from	ADP
ejpam-2456	429	2	this	this	DET
ejpam-2456	429	3	expression	expression	NOUN
ejpam-2456	429	4	,	,	PUNCT
ejpam-2456	429	5	it	it	PRON
ejpam-2456	429	6	follows	follow	VERB
ejpam-2456	429	7	that	that	SCONJ
ejpam-2456	429	8	u(t	u(t	NOUN
ejpam-2456	429	9	,	,	PUNCT
ejpam-2456	429	10	s	s	PART
ejpam-2456	429	11	)	)	PUNCT
ejpam-2456	429	12	is	be	AUX
ejpam-2456	429	13	a	a	DET
ejpam-2456	429	14	compact	compact	ADJ
ejpam-2456	429	15	linear	linear	NOUN
ejpam-2456	429	16	operator	operator	NOUN
ejpam-2456	429	17	and	and	CCONJ
ejpam-2456	429	18	that	that	SCONJ
ejpam-2456	429	19	‖u(t	‖u(t	NOUN
ejpam-2456	429	20	,	,	PUNCT
ejpam-2456	429	21	s)‖	s)‖	VERB
ejpam-2456	429	22	≤	≤	NUM
ejpam-2456	429	23	e−(1+δ0)(t−s	e−(1+δ0)(t−	NOUN
ejpam-2456	429	24	)	)	PUNCT
ejpam-2456	429	25	for	for	ADP
ejpam-2456	429	26	every	every	DET
ejpam-2456	429	27	(	(	PUNCT
ejpam-2456	429	28	t	t	PROPN
ejpam-2456	429	29	,	,	PUNCT
ejpam-2456	429	30	s	s	PART
ejpam-2456	429	31	)	)	PUNCT
ejpam-2456	429	32	∈∆.	∈∆.	PROPN
ejpam-2456	429	33	let	let	VERB
ejpam-2456	429	34	b	b	NOUN
ejpam-2456	429	35	=	=	SYM
ejpam-2456	429	36	buc(r−	buc(r−	PROPN
ejpam-2456	429	37	;	;	PUNCT
ejpam-2456	429	38	e	e	X
ejpam-2456	429	39	)	)	PUNCT
ejpam-2456	429	40	the	the	DET
ejpam-2456	429	41	space	space	NOUN
ejpam-2456	429	42	of	of	ADP
ejpam-2456	429	43	bounded	bound	VERB
ejpam-2456	429	44	uniformly	uniformly	ADV
ejpam-2456	429	45	continuous	continuous	ADJ
ejpam-2456	429	46	functions	function	NOUN
ejpam-2456	429	47	defined	define	VERB
ejpam-2456	429	48	from	from	ADP
ejpam-2456	429	49	r−	r−	PROPN
ejpam-2456	429	50	to	to	AUX
ejpam-2456	429	51	e	e	NOUN
ejpam-2456	429	52	endowed	endow	VERB
ejpam-2456	429	53	with	with	ADP
ejpam-2456	429	54	the	the	DET
ejpam-2456	429	55	uniform	uniform	ADJ
ejpam-2456	429	56	norm	norm	NOUN
ejpam-2456	429	57	‖φ‖=	‖φ‖=	ADJ
ejpam-2456	429	58	supθ∈r−	supθ∈r−	VERB
ejpam-2456	429	59	|φ(θ	|φ(θ	PROPN
ejpam-2456	429	60	)	)	PUNCT
ejpam-2456	429	61	|	|	ADV
ejpam-2456	429	62	.	.	PUNCT
ejpam-2456	430	1	theorem	theorem	NOUN
ejpam-2456	430	2	4	4	NUM
ejpam-2456	430	3	.	.	PUNCT
ejpam-2456	431	1	let	let	VERB
ejpam-2456	431	2	φ	φ	PROPN
ejpam-2456	431	3	∈	∈	PROPN
ejpam-2456	431	4	b	b	PROPN
ejpam-2456	431	5	.	.	PUNCT
ejpam-2456	431	6	assume	assume	VERB
ejpam-2456	431	7	that	that	SCONJ
ejpam-2456	431	8	the	the	DET
ejpam-2456	431	9	condition	condition	NOUN
ejpam-2456	431	10	(	(	PUNCT
ejpam-2456	431	11	hφ	hφ	PROPN
ejpam-2456	431	12	)	)	PUNCT
ejpam-2456	431	13	holds	hold	NOUN
ejpam-2456	431	14	and	and	CCONJ
ejpam-2456	431	15	the	the	DET
ejpam-2456	431	16	functions	function	NOUN
ejpam-2456	431	17	d	d	NOUN
ejpam-2456	431	18	:	:	PUNCT
ejpam-2456	431	19	r+	r+	X
ejpam-2456	431	20	→	→	SYM
ejpam-2456	431	21	e	e	X
ejpam-2456	431	22	,	,	PUNCT
ejpam-2456	431	23	ρi	ρi	NOUN
ejpam-2456	431	24	:	:	PUNCT
ejpam-2456	431	25	r+	r+	NOUN
ejpam-2456	431	26	→	→	SYM
ejpam-2456	432	1	r+	r+	X
ejpam-2456	432	2	,	,	PUNCT
ejpam-2456	432	3	i	i	PRON
ejpam-2456	432	4	=	=	NOUN
ejpam-2456	432	5	1	1	NUM
ejpam-2456	432	6	,	,	PUNCT
ejpam-2456	432	7	2	2	NUM
ejpam-2456	432	8	,	,	PUNCT
ejpam-2456	432	9	a1	a1	NOUN
ejpam-2456	432	10	:	:	PUNCT
ejpam-2456	432	11	r−	r−	PROPN
ejpam-2456	432	12	→	→	SYM
ejpam-2456	432	13	r	r	NOUN
ejpam-2456	432	14	and	and	CCONJ
ejpam-2456	432	15	a2	a2	PROPN
ejpam-2456	432	16	:	:	PUNCT
ejpam-2456	433	1	[	[	X
ejpam-2456	433	2	0,π	0,π	X
ejpam-2456	433	3	]	]	X
ejpam-2456	433	4	→	→	PUNCT
ejpam-2456	433	5	r	r	NOUN
ejpam-2456	433	6	are	be	AUX
ejpam-2456	433	7	continuous	continuous	ADJ
ejpam-2456	433	8	.	.	PUNCT
ejpam-2456	434	1	then	then	ADV
ejpam-2456	434	2	the	the	DET
ejpam-2456	434	3	evolution	evolution	NOUN
ejpam-2456	434	4	system	system	NOUN
ejpam-2456	434	5	(	(	PUNCT
ejpam-2456	434	6	13	13	NUM
ejpam-2456	434	7	)	)	PUNCT
ejpam-2456	434	8	is	be	AUX
ejpam-2456	434	9	controllable	controllable	ADJ
ejpam-2456	434	10	on	on	ADP
ejpam-2456	434	11	(	(	PUNCT
ejpam-2456	434	12	−∞,+∞	−∞,+∞	NUM
ejpam-2456	434	13	)	)	PUNCT
ejpam-2456	434	14	.	.	PUNCT
ejpam-2456	435	1	d.	d.	PROPN
ejpam-2456	435	2	aoued	aoued	PROPN
ejpam-2456	435	3	,	,	PUNCT
ejpam-2456	435	4	s.	s.	PROPN
ejpam-2456	435	5	baghli	baghli	PROPN
ejpam-2456	435	6	-	-	PUNCT
ejpam-2456	435	7	bendimerad	bendimerad	PROPN
ejpam-2456	435	8	/	/	SYM
ejpam-2456	435	9	eur	eur	PROPN
ejpam-2456	435	10	.	.	PUNCT
ejpam-2456	436	1	j.	j.	PROPN
ejpam-2456	436	2	pure	pure	PROPN
ejpam-2456	436	3	appl	appl	PROPN
ejpam-2456	436	4	.	.	PROPN
ejpam-2456	436	5	math	math	PROPN
ejpam-2456	436	6	,	,	PUNCT
ejpam-2456	436	7	9	9	NUM
ejpam-2456	436	8	(	(	PUNCT
ejpam-2456	436	9	2016	2016	NUM
ejpam-2456	436	10	)	)	PUNCT
ejpam-2456	436	11	,	,	PUNCT
ejpam-2456	436	12	383	383	NUM
ejpam-2456	436	13	-	-	SYM
ejpam-2456	436	14	401	401	NUM
ejpam-2456	436	15	398	398	NUM
ejpam-2456	436	16	proof	proof	NOUN
ejpam-2456	436	17	.	.	PUNCT
ejpam-2456	437	1	from	from	ADP
ejpam-2456	437	2	the	the	DET
ejpam-2456	437	3	assumptions	assumption	NOUN
ejpam-2456	437	4	,	,	PUNCT
ejpam-2456	437	5	we	we	PRON
ejpam-2456	437	6	have	have	VERB
ejpam-2456	437	7	that	that	DET
ejpam-2456	437	8	f	f	PROPN
ejpam-2456	437	9	(	(	PUNCT
ejpam-2456	437	10	t	t	PROPN
ejpam-2456	437	11	,	,	PUNCT
ejpam-2456	437	12	ψ)(ξ	ψ)(ξ	NUM
ejpam-2456	437	13	)	)	PUNCT
ejpam-2456	437	14	=	=	SYM
ejpam-2456	438	1	∫	∫	PROPN
ejpam-2456	438	2	0	0	PUNCT
ejpam-2456	439	1	−∞	−∞	ADP
ejpam-2456	439	2	a1(s)ψ(s	a1(s)ψ(s	NOUN
ejpam-2456	439	3	,	,	PUNCT
ejpam-2456	439	4	ξ)ds	ξ)ds	PROPN
ejpam-2456	439	5	and	and	CCONJ
ejpam-2456	439	6	ρ(s	ρ(s	PROPN
ejpam-2456	439	7	,	,	PUNCT
ejpam-2456	439	8	ψ	ψ	NOUN
ejpam-2456	439	9	)	)	PUNCT
ejpam-2456	440	1	=	=	SYM
ejpam-2456	440	2	s−ρ1(s)ρ2	s−ρ1(s)ρ2	PUNCT
ejpam-2456	440	3	�	�	PROPN
ejpam-2456	440	4	∫	∫	PROPN
ejpam-2456	440	5	π	π	PROPN
ejpam-2456	440	6	0	0	PUNCT
ejpam-2456	440	7	a2(θ	a2(θ	NOUN
ejpam-2456	440	8	)	)	PUNCT
ejpam-2456	440	9	|ψ(0,ξ)|2dθ	|ψ(0,ξ)|2dθ	NOUN
ejpam-2456	440	10	�	�	PROPN
ejpam-2456	440	11	,	,	PUNCT
ejpam-2456	440	12	are	be	AUX
ejpam-2456	440	13	well	well	ADV
ejpam-2456	440	14	defined	define	VERB
ejpam-2456	440	15	functions	function	NOUN
ejpam-2456	440	16	and	and	CCONJ
ejpam-2456	440	17	let	let	VERB
ejpam-2456	440	18	c	c	PROPN
ejpam-2456	440	19	∈	∈	VERB
ejpam-2456	440	20	l(r	l(r	PROPN
ejpam-2456	440	21	;	;	PUNCT
ejpam-2456	440	22	e	e	X
ejpam-2456	440	23	)	)	PUNCT
ejpam-2456	440	24	be	be	AUX
ejpam-2456	440	25	defined	define	VERB
ejpam-2456	440	26	as	as	ADP
ejpam-2456	440	27	:	:	PUNCT
ejpam-2456	440	28	cu(t)(ξ	cu(t)(ξ	NOUN
ejpam-2456	440	29	)	)	PUNCT
ejpam-2456	440	30	=	=	NOUN
ejpam-2456	440	31	d(ξ)u(t	d(ξ)u(t	NOUN
ejpam-2456	440	32	)	)	PUNCT
ejpam-2456	440	33	,	,	PUNCT
ejpam-2456	440	34	t	t	PROPN
ejpam-2456	440	35	≥	≥	NUM
ejpam-2456	440	36	0	0	NUM
ejpam-2456	440	37	,	,	PUNCT
ejpam-2456	440	38	ξ	ξ	X
ejpam-2456	440	39	≥	≥	NOUN
ejpam-2456	440	40	0	0	NUM
ejpam-2456	440	41	,	,	PUNCT
ejpam-2456	440	42	u	u	PROPN
ejpam-2456	440	43	∈	∈	PROPN
ejpam-2456	440	44	r	r	PROPN
ejpam-2456	440	45	,	,	PUNCT
ejpam-2456	440	46	d(ξ	d(ξ	PROPN
ejpam-2456	440	47	)	)	PUNCT
ejpam-2456	440	48	∈	∈	PROPN
ejpam-2456	440	49	e	e	NOUN
ejpam-2456	440	50	,	,	PUNCT
ejpam-2456	440	51	which	which	PRON
ejpam-2456	440	52	permit	permit	VERB
ejpam-2456	440	53	to	to	PART
ejpam-2456	440	54	transform	transform	VERB
ejpam-2456	440	55	system	system	NOUN
ejpam-2456	440	56	(	(	PUNCT
ejpam-2456	440	57	13	13	NUM
ejpam-2456	440	58	)	)	PUNCT
ejpam-2456	440	59	into	into	ADP
ejpam-2456	440	60	the	the	DET
ejpam-2456	440	61	abstract	abstract	ADJ
ejpam-2456	440	62	system	system	NOUN
ejpam-2456	440	63	(	(	PUNCT
ejpam-2456	440	64	1	1	NUM
ejpam-2456	440	65	)	)	PUNCT
ejpam-2456	440	66	.	.	PUNCT
ejpam-2456	441	1	moreover	moreover	ADV
ejpam-2456	441	2	,	,	PUNCT
ejpam-2456	441	3	the	the	DET
ejpam-2456	441	4	function	function	NOUN
ejpam-2456	441	5	f	f	PROPN
ejpam-2456	441	6	is	be	AUX
ejpam-2456	441	7	a	a	DET
ejpam-2456	441	8	bounded	bounded	ADJ
ejpam-2456	441	9	linear	linear	ADJ
ejpam-2456	441	10	operator	operator	NOUN
ejpam-2456	441	11	.	.	PUNCT
ejpam-2456	442	1	now	now	ADV
ejpam-2456	442	2	,	,	PUNCT
ejpam-2456	442	3	the	the	DET
ejpam-2456	442	4	controllability	controllability	NOUN
ejpam-2456	442	5	of	of	ADP
ejpam-2456	442	6	mild	mild	ADJ
ejpam-2456	442	7	solutions	solution	NOUN
ejpam-2456	442	8	can	can	AUX
ejpam-2456	442	9	be	be	AUX
ejpam-2456	442	10	deduced	deduce	VERB
ejpam-2456	442	11	from	from	ADP
ejpam-2456	442	12	a	a	DET
ejpam-2456	442	13	direct	direct	ADJ
ejpam-2456	442	14	application	application	NOUN
ejpam-2456	442	15	of	of	ADP
ejpam-2456	442	16	theorem	theorem	NOUN
ejpam-2456	442	17	2	2	NUM
ejpam-2456	442	18	.	.	PUNCT
ejpam-2456	443	1	thus	thus	ADV
ejpam-2456	443	2	,	,	PUNCT
ejpam-2456	443	3	the	the	DET
ejpam-2456	443	4	conclusion	conclusion	NOUN
ejpam-2456	443	5	of	of	ADP
ejpam-2456	443	6	our	our	PRON
ejpam-2456	443	7	theorem	theorem	NOUN
ejpam-2456	443	8	hold	hold	NOUN
ejpam-2456	443	9	.	.	PUNCT
ejpam-2456	444	1	from	from	ADP
ejpam-2456	444	2	remark	remark	NOUN
ejpam-2456	444	3	1	1	NUM
ejpam-2456	444	4	,	,	PUNCT
ejpam-2456	444	5	we	we	PRON
ejpam-2456	444	6	have	have	VERB
ejpam-2456	444	7	the	the	DET
ejpam-2456	444	8	following	follow	VERB
ejpam-2456	444	9	result	result	NOUN
ejpam-2456	444	10	.	.	PUNCT
ejpam-2456	445	1	corollary	corollary	ADJ
ejpam-2456	445	2	1	1	NUM
ejpam-2456	445	3	.	.	PUNCT
ejpam-2456	446	1	let	let	VERB
ejpam-2456	446	2	φ	φ	PROPN
ejpam-2456	446	3	∈	∈	PROPN
ejpam-2456	446	4	b	b	AUX
ejpam-2456	446	5	be	be	AUX
ejpam-2456	446	6	continuous	continuous	ADJ
ejpam-2456	446	7	and	and	CCONJ
ejpam-2456	446	8	bounded	bound	VERB
ejpam-2456	446	9	.	.	PUNCT
ejpam-2456	447	1	then	then	ADV
ejpam-2456	447	2	the	the	DET
ejpam-2456	447	3	evolution	evolution	NOUN
ejpam-2456	447	4	problem	problem	NOUN
ejpam-2456	447	5	(	(	PUNCT
ejpam-2456	447	6	13	13	NUM
ejpam-2456	447	7	)	)	PUNCT
ejpam-2456	447	8	is	be	AUX
ejpam-2456	447	9	controllable	controllable	ADJ
ejpam-2456	447	10	on	on	ADP
ejpam-2456	447	11	r.	r.	PROPN
ejpam-2456	447	12	example	example	NOUN
ejpam-2456	447	13	2	2	NUM
ejpam-2456	447	14	consider	consider	VERB
ejpam-2456	447	15	the	the	DET
ejpam-2456	447	16	semilinear	semilinear	ADJ
ejpam-2456	447	17	neutral	neutral	ADJ
ejpam-2456	447	18	evolution	evolution	PROPN
ejpam-2456	447	19	equation	equation	NOUN
ejpam-2456	447	20	∂	∂	NOUN
ejpam-2456	447	21	∂	∂	NUM
ejpam-2456	447	22	t	t	PROPN
ejpam-2456	447	23	�	�	PROPN
ejpam-2456	447	24	u(t	u(t	PROPN
ejpam-2456	447	25	,	,	PUNCT
ejpam-2456	447	26	ξ)−	ξ)−	PROPN
ejpam-2456	447	27	∫	∫	PROPN
ejpam-2456	447	28	0	0	NUM
ejpam-2456	448	1	−∞	−∞	X
ejpam-2456	448	2	a3(s−	a3(s−	X
ejpam-2456	448	3	t)u	t)u	PROPN
ejpam-2456	448	4	�	�	PROPN
ejpam-2456	448	5	s−ρ1(t)ρ2	s−ρ1(t)ρ2	NUM
ejpam-2456	448	6	�	�	PROPN
ejpam-2456	448	7	∫	∫	PROPN
ejpam-2456	448	8	π	π	PROPN
ejpam-2456	448	9	0	0	PUNCT
ejpam-2456	448	10	a2(θ	a2(θ	NOUN
ejpam-2456	448	11	)	)	PUNCT
ejpam-2456	448	12	|u(t	|u(t	PROPN
ejpam-2456	448	13	,	,	PUNCT
ejpam-2456	448	14	θ	θ	NOUN
ejpam-2456	448	15	)	)	PUNCT
ejpam-2456	448	16	|2dθ	|2dθ	NOUN
ejpam-2456	448	17	�	�	PROPN
ejpam-2456	448	18	,	,	PUNCT
ejpam-2456	448	19	ξ	ξ	X
ejpam-2456	448	20	�	�	PROPN
ejpam-2456	448	21	ds	ds	PROPN
ejpam-2456	448	22	�	�	PROPN
ejpam-2456	448	23	=	=	SYM
ejpam-2456	448	24	∂	∂	NUM
ejpam-2456	448	25	2u(t	2u(t	NUM
ejpam-2456	448	26	,	,	PUNCT
ejpam-2456	448	27	ξ	ξ	NOUN
ejpam-2456	448	28	)	)	PUNCT
ejpam-2456	448	29	∂	∂	NOUN
ejpam-2456	449	1	ξ2	ξ2	NOUN
ejpam-2456	450	1	+	+	CCONJ
ejpam-2456	451	1	a0(t	a0(t	PROPN
ejpam-2456	451	2	,	,	PUNCT
ejpam-2456	451	3	ξ)u(t	ξ)u(t	NOUN
ejpam-2456	451	4	,	,	PUNCT
ejpam-2456	451	5	ξ	ξ	NOUN
ejpam-2456	451	6	)	)	PUNCT
ejpam-2456	452	1	+	+	CCONJ
ejpam-2456	452	2	∫	∫	PROPN
ejpam-2456	452	3	0	0	NUM
ejpam-2456	453	1	−∞	−∞	ADP
ejpam-2456	453	2	a1(s−	a1(s−	NOUN
ejpam-2456	453	3	t)u	t)u	PROPN
ejpam-2456	453	4	�	�	PROPN
ejpam-2456	453	5	s−ρ1(t)ρ2	s−ρ1(t)ρ2	NUM
ejpam-2456	453	6	�	�	PROPN
ejpam-2456	453	7	∫	∫	PROPN
ejpam-2456	453	8	π	π	PROPN
ejpam-2456	453	9	0	0	PUNCT
ejpam-2456	453	10	a2(θ	a2(θ	NOUN
ejpam-2456	453	11	)	)	PUNCT
ejpam-2456	453	12	|u(t	|u(t	PROPN
ejpam-2456	453	13	,	,	PUNCT
ejpam-2456	453	14	θ	θ	NOUN
ejpam-2456	453	15	)	)	PUNCT
ejpam-2456	453	16	|2dθ	|2dθ	NOUN
ejpam-2456	453	17	�	�	PROPN
ejpam-2456	453	18	,	,	PUNCT
ejpam-2456	453	19	ξ	ξ	PROPN
ejpam-2456	453	20	�	�	PROPN
ejpam-2456	453	21	ds	ds	PROPN
ejpam-2456	453	22	,	,	PUNCT
ejpam-2456	453	23	for	for	ADP
ejpam-2456	453	24	t	t	PROPN
ejpam-2456	453	25	≥	≥	NUM
ejpam-2456	453	26	0	0	NUM
ejpam-2456	453	27	,	,	PUNCT
ejpam-2456	453	28	ξ	ξ	PROPN
ejpam-2456	453	29	∈	∈	PROPN
ejpam-2456	454	1	[	[	X
ejpam-2456	454	2	0,π	0,π	X
ejpam-2456	454	3	]	]	X
ejpam-2456	454	4	,	,	PUNCT
ejpam-2456	454	5	v(t	v(t	NOUN
ejpam-2456	454	6	,	,	PUNCT
ejpam-2456	454	7	0	0	NUM
ejpam-2456	454	8	)	)	PUNCT
ejpam-2456	454	9	=	=	SYM
ejpam-2456	455	1	v(t	v(t	ADJ
ejpam-2456	455	2	,	,	PUNCT
ejpam-2456	455	3	π	π	X
ejpam-2456	455	4	)	)	PUNCT
ejpam-2456	455	5	=	=	SYM
ejpam-2456	455	6	0	0	NUM
ejpam-2456	455	7	,	,	PUNCT
ejpam-2456	455	8	for	for	ADP
ejpam-2456	455	9	t	t	PROPN
ejpam-2456	455	10	≥	≥	PROPN
ejpam-2456	455	11	0	0	NUM
ejpam-2456	455	12	,	,	PUNCT
ejpam-2456	455	13	v(θ	v(θ	PROPN
ejpam-2456	455	14	,	,	PUNCT
ejpam-2456	455	15	ξ	ξ	PROPN
ejpam-2456	455	16	)	)	PUNCT
ejpam-2456	455	17	=	=	SYM
ejpam-2456	456	1	v0(θ	v0(θ	PROPN
ejpam-2456	456	2	,	,	PUNCT
ejpam-2456	456	3	ξ	ξ	PROPN
ejpam-2456	456	4	)	)	PUNCT
ejpam-2456	456	5	,	,	PUNCT
ejpam-2456	456	6	for	for	ADP
ejpam-2456	456	7	−∞	−∞	X
ejpam-2456	456	8	<	<	X
ejpam-2456	456	9	θ	θ	PROPN
ejpam-2456	456	10	≤	≤	NUM
ejpam-2456	456	11	0	0	NUM
ejpam-2456	456	12	,	,	PUNCT
ejpam-2456	456	13	ξ	ξ	PROPN
ejpam-2456	456	14	∈	∈	PROPN
ejpam-2456	457	1	[	[	X
ejpam-2456	457	2	0,π	0,π	X
ejpam-2456	457	3	]	]	X
ejpam-2456	457	4	,	,	PUNCT
ejpam-2456	457	5	(	(	PUNCT
ejpam-2456	457	6	14	14	NUM
ejpam-2456	457	7	)	)	PUNCT
ejpam-2456	457	8	where	where	SCONJ
ejpam-2456	457	9	a3	a3	NOUN
ejpam-2456	457	10	:	:	PUNCT
ejpam-2456	457	11	r−	r−	PROPN
ejpam-2456	457	12	→	→	SYM
ejpam-2456	457	13	r	r	NOUN
ejpam-2456	457	14	is	be	AUX
ejpam-2456	457	15	a	a	DET
ejpam-2456	457	16	continuous	continuous	ADJ
ejpam-2456	457	17	function	function	NOUN
ejpam-2456	457	18	and	and	CCONJ
ejpam-2456	457	19	a	a	PRON
ejpam-2456	457	20	,	,	PUNCT
ejpam-2456	457	21	ai	ai	VERB
ejpam-2456	457	22	for	for	ADP
ejpam-2456	457	23	i	i	PROPN
ejpam-2456	457	24	=	=	SYM
ejpam-2456	457	25	0,1	0,1	NUM
ejpam-2456	457	26	,	,	PUNCT
ejpam-2456	457	27	2	2	NUM
ejpam-2456	457	28	,	,	PUNCT
ejpam-2456	457	29	ρi	ρi	NOUN
ejpam-2456	457	30	for	for	ADP
ejpam-2456	457	31	i	i	PROPN
ejpam-2456	457	32	=	=	SYM
ejpam-2456	457	33	1,2	1,2	NUM
ejpam-2456	457	34	,	,	PUNCT
ejpam-2456	457	35	z0	z0	NOUN
ejpam-2456	457	36	,	,	PUNCT
ejpam-2456	457	37	d	d	NOUN
ejpam-2456	457	38	and	and	CCONJ
ejpam-2456	457	39	u	u	NOUN
ejpam-2456	457	40	(	(	PUNCT
ejpam-2456	457	41	·	·	PUNCT
ejpam-2456	457	42	)	)	PUNCT
ejpam-2456	457	43	are	be	AUX
ejpam-2456	457	44	defined	define	VERB
ejpam-2456	457	45	as	as	ADP
ejpam-2456	457	46	in	in	ADP
ejpam-2456	457	47	(	(	PUNCT
ejpam-2456	457	48	13	13	NUM
ejpam-2456	457	49	)	)	PUNCT
ejpam-2456	457	50	.	.	PUNCT
ejpam-2456	458	1	theorem	theorem	ADJ
ejpam-2456	458	2	5	5	NUM
ejpam-2456	458	3	.	.	PUNCT
ejpam-2456	459	1	let	let	VERB
ejpam-2456	459	2	b	b	NOUN
ejpam-2456	459	3	=	=	SYM
ejpam-2456	459	4	buc(r−	buc(r−	PROPN
ejpam-2456	459	5	;	;	PUNCT
ejpam-2456	459	6	e	e	X
ejpam-2456	459	7	)	)	PUNCT
ejpam-2456	459	8	and	and	CCONJ
ejpam-2456	460	1	φ	φ	NUM
ejpam-2456	460	2	∈	∈	PROPN
ejpam-2456	460	3	b	b	X
ejpam-2456	460	4	.	.	PUNCT
ejpam-2456	460	5	assume	assume	VERB
ejpam-2456	460	6	that	that	SCONJ
ejpam-2456	460	7	the	the	DET
ejpam-2456	460	8	condition	condition	NOUN
ejpam-2456	460	9	(	(	PUNCT
ejpam-2456	460	10	hφ	hφ	PROPN
ejpam-2456	460	11	)	)	PUNCT
ejpam-2456	460	12	holds	hold	NOUN
ejpam-2456	460	13	and	and	CCONJ
ejpam-2456	460	14	the	the	DET
ejpam-2456	460	15	functions	function	NOUN
ejpam-2456	460	16	d	d	NOUN
ejpam-2456	460	17	:	:	PUNCT
ejpam-2456	460	18	r+	r+	X
ejpam-2456	460	19	→	→	SYM
ejpam-2456	460	20	e	e	X
ejpam-2456	460	21	,	,	PUNCT
ejpam-2456	460	22	ρi	ρi	NOUN
ejpam-2456	460	23	:	:	PUNCT
ejpam-2456	460	24	r+	r+	NOUN
ejpam-2456	460	25	→	→	SYM
ejpam-2456	460	26	r+	r+	X
ejpam-2456	460	27	,	,	PUNCT
ejpam-2456	460	28	i	i	PRON
ejpam-2456	460	29	=	=	NOUN
ejpam-2456	460	30	1	1	NUM
ejpam-2456	460	31	,	,	PUNCT
ejpam-2456	460	32	2	2	NUM
ejpam-2456	460	33	,	,	PUNCT
ejpam-2456	460	34	a1	a1	NOUN
ejpam-2456	460	35	,	,	PUNCT
ejpam-2456	460	36	a3	a3	NOUN
ejpam-2456	460	37	:	:	PUNCT
ejpam-2456	460	38	r−	r−	PROPN
ejpam-2456	460	39	→	→	SYM
ejpam-2456	460	40	r	r	NOUN
ejpam-2456	460	41	and	and	CCONJ
ejpam-2456	460	42	a2	a2	PROPN
ejpam-2456	460	43	:	:	PUNCT
ejpam-2456	461	1	[	[	X
ejpam-2456	461	2	0,π	0,π	X
ejpam-2456	461	3	]	]	X
ejpam-2456	461	4	→	→	PUNCT
ejpam-2456	461	5	r	r	NOUN
ejpam-2456	461	6	are	be	AUX
ejpam-2456	461	7	continuous	continuous	ADJ
ejpam-2456	461	8	.	.	PUNCT
ejpam-2456	462	1	then	then	ADV
ejpam-2456	462	2	the	the	DET
ejpam-2456	462	3	evolution	evolution	NOUN
ejpam-2456	462	4	system	system	NOUN
ejpam-2456	462	5	(	(	PUNCT
ejpam-2456	462	6	14	14	NUM
ejpam-2456	462	7	)	)	PUNCT
ejpam-2456	462	8	is	be	AUX
ejpam-2456	462	9	controllable	controllable	ADJ
ejpam-2456	462	10	on	on	ADP
ejpam-2456	462	11	(	(	PUNCT
ejpam-2456	462	12	−∞,+∞	−∞,+∞	NUM
ejpam-2456	462	13	)	)	PUNCT
ejpam-2456	462	14	.	.	PUNCT
ejpam-2456	463	1	proof	proof	NOUN
ejpam-2456	463	2	.	.	PUNCT
ejpam-2456	464	1	from	from	ADP
ejpam-2456	464	2	the	the	DET
ejpam-2456	464	3	assumptions	assumption	NOUN
ejpam-2456	464	4	,	,	PUNCT
ejpam-2456	464	5	we	we	PRON
ejpam-2456	464	6	have	have	VERB
ejpam-2456	464	7	that	that	DET
ejpam-2456	464	8	f	f	PROPN
ejpam-2456	464	9	(	(	PUNCT
ejpam-2456	464	10	t	t	PROPN
ejpam-2456	464	11	,	,	PUNCT
ejpam-2456	464	12	ψ)(ξ	ψ)(ξ	NUM
ejpam-2456	464	13	)	)	PUNCT
ejpam-2456	464	14	=	=	SYM
ejpam-2456	465	1	∫	∫	PROPN
ejpam-2456	465	2	0	0	PUNCT
ejpam-2456	466	1	−∞	−∞	ADP
ejpam-2456	466	2	a1(s)ψ(s	a1(s)ψ(s	PROPN
ejpam-2456	466	3	,	,	PUNCT
ejpam-2456	466	4	ξ)ds	ξ)ds	PROPN
ejpam-2456	466	5	,	,	PUNCT
ejpam-2456	466	6	g(t	g(t	PROPN
ejpam-2456	466	7	,	,	PUNCT
ejpam-2456	466	8	ψ)(ξ	ψ)(ξ	NUM
ejpam-2456	466	9	)	)	PUNCT
ejpam-2456	467	1	=	=	SYM
ejpam-2456	467	2	∫	∫	PROPN
ejpam-2456	467	3	0	0	NUM
ejpam-2456	468	1	−∞	−∞	ADP
ejpam-2456	468	2	a3(s)ψ(s	a3(s)ψ(s	PROPN
ejpam-2456	468	3	,	,	PUNCT
ejpam-2456	468	4	ξ)ds	ξ)ds	PROPN
ejpam-2456	468	5	,	,	PUNCT
ejpam-2456	468	6	ρ(s	ρ(s	PROPN
ejpam-2456	468	7	,	,	PUNCT
ejpam-2456	468	8	ψ	ψ	NOUN
ejpam-2456	468	9	)	)	PUNCT
ejpam-2456	469	1	=	=	SYM
ejpam-2456	469	2	s−ρ1(s)ρ2	s−ρ1(s)ρ2	NOUN
ejpam-2456	469	3	�	�	PROPN
ejpam-2456	469	4	∫	∫	PROPN
ejpam-2456	469	5	π	π	PROPN
ejpam-2456	469	6	0	0	PUNCT
ejpam-2456	469	7	a2(θ	a2(θ	NOUN
ejpam-2456	469	8	)	)	PUNCT
ejpam-2456	469	9	|ψ(0,ξ)|2dθ	|ψ(0,ξ)|2dθ	NOUN
ejpam-2456	469	10	�	�	PROPN
ejpam-2456	469	11	references	reference	VERB
ejpam-2456	469	12	399	399	NUM
ejpam-2456	469	13	are	be	AUX
ejpam-2456	469	14	well	well	ADV
ejpam-2456	469	15	defined	define	VERB
ejpam-2456	469	16	functions	function	NOUN
ejpam-2456	469	17	and	and	CCONJ
ejpam-2456	469	18	let	let	VERB
ejpam-2456	469	19	c	c	PROPN
ejpam-2456	469	20	∈	∈	VERB
ejpam-2456	469	21	l(r	l(r	PROPN
ejpam-2456	469	22	;	;	PUNCT
ejpam-2456	469	23	e	e	X
ejpam-2456	469	24	)	)	PUNCT
ejpam-2456	469	25	be	be	AUX
ejpam-2456	469	26	defined	define	VERB
ejpam-2456	469	27	as	as	ADP
ejpam-2456	469	28	:	:	PUNCT
ejpam-2456	469	29	cu(t)(ξ	cu(t)(ξ	NOUN
ejpam-2456	469	30	)	)	PUNCT
ejpam-2456	469	31	=	=	NOUN
ejpam-2456	469	32	d(ξ)u(t	d(ξ)u(t	NOUN
ejpam-2456	469	33	)	)	PUNCT
ejpam-2456	469	34	,	,	PUNCT
ejpam-2456	469	35	t	t	PROPN
ejpam-2456	469	36	≥	≥	NUM
ejpam-2456	469	37	0	0	NUM
ejpam-2456	469	38	,	,	PUNCT
ejpam-2456	469	39	ξ	ξ	X
ejpam-2456	469	40	≥	≥	NOUN
ejpam-2456	469	41	0	0	NUM
ejpam-2456	469	42	,	,	PUNCT
ejpam-2456	469	43	u	u	PROPN
ejpam-2456	469	44	∈	∈	PROPN
ejpam-2456	469	45	r	r	PROPN
ejpam-2456	469	46	,	,	PUNCT
ejpam-2456	469	47	d(ξ	d(ξ	PROPN
ejpam-2456	469	48	)	)	PUNCT
ejpam-2456	469	49	∈	∈	PROPN
ejpam-2456	469	50	e	e	NOUN
ejpam-2456	469	51	,	,	PUNCT
ejpam-2456	469	52	which	which	PRON
ejpam-2456	469	53	permit	permit	VERB
ejpam-2456	469	54	to	to	PART
ejpam-2456	469	55	transform	transform	VERB
ejpam-2456	469	56	system	system	NOUN
ejpam-2456	469	57	(	(	PUNCT
ejpam-2456	469	58	14	14	NUM
ejpam-2456	469	59	)	)	PUNCT
ejpam-2456	469	60	into	into	ADP
ejpam-2456	469	61	the	the	DET
ejpam-2456	469	62	abstract	abstract	ADJ
ejpam-2456	469	63	system	system	NOUN
ejpam-2456	469	64	(	(	PUNCT
ejpam-2456	469	65	2	2	NUM
ejpam-2456	469	66	)	)	PUNCT
ejpam-2456	469	67	.	.	PUNCT
ejpam-2456	470	1	moreover	moreover	ADV
ejpam-2456	470	2	,	,	PUNCT
ejpam-2456	470	3	the	the	DET
ejpam-2456	470	4	function	function	NOUN
ejpam-2456	470	5	f	f	PROPN
ejpam-2456	470	6	is	be	AUX
ejpam-2456	470	7	a	a	DET
ejpam-2456	470	8	bounded	bounded	ADJ
ejpam-2456	470	9	linear	linear	ADJ
ejpam-2456	470	10	operator	operator	NOUN
ejpam-2456	470	11	.	.	PUNCT
ejpam-2456	471	1	now	now	ADV
ejpam-2456	471	2	,	,	PUNCT
ejpam-2456	471	3	the	the	DET
ejpam-2456	471	4	controllability	controllability	NOUN
ejpam-2456	471	5	of	of	ADP
ejpam-2456	471	6	mild	mild	ADJ
ejpam-2456	471	7	solutions	solution	NOUN
ejpam-2456	471	8	can	can	AUX
ejpam-2456	471	9	be	be	AUX
ejpam-2456	471	10	deduced	deduce	VERB
ejpam-2456	471	11	from	from	ADP
ejpam-2456	471	12	a	a	DET
ejpam-2456	471	13	direct	direct	ADJ
ejpam-2456	471	14	application	application	NOUN
ejpam-2456	471	15	of	of	ADP
ejpam-2456	471	16	theorem	theorem	NOUN
ejpam-2456	471	17	3	3	NUM
ejpam-2456	471	18	.	.	PUNCT
ejpam-2456	472	1	thus	thus	ADV
ejpam-2456	472	2	,	,	PUNCT
ejpam-2456	472	3	the	the	DET
ejpam-2456	472	4	conclusion	conclusion	NOUN
ejpam-2456	472	5	of	of	ADP
ejpam-2456	472	6	our	our	PRON
ejpam-2456	472	7	theorem	theorem	NOUN
ejpam-2456	472	8	hold	hold	NOUN
ejpam-2456	472	9	.	.	PUNCT
ejpam-2456	473	1	from	from	ADP
ejpam-2456	473	2	remark	remark	NOUN
ejpam-2456	473	3	1	1	NUM
ejpam-2456	473	4	,	,	PUNCT
ejpam-2456	473	5	we	we	PRON
ejpam-2456	473	6	have	have	VERB
ejpam-2456	473	7	the	the	DET
ejpam-2456	473	8	following	follow	VERB
ejpam-2456	473	9	result	result	NOUN
ejpam-2456	473	10	.	.	PUNCT
ejpam-2456	474	1	corollary	corollary	ADJ
ejpam-2456	474	2	2	2	NUM
ejpam-2456	474	3	.	.	PUNCT
ejpam-2456	475	1	let	let	VERB
ejpam-2456	475	2	φ	φ	PROPN
ejpam-2456	475	3	∈b	∈b	PROPN
ejpam-2456	475	4	be	be	AUX
ejpam-2456	475	5	continuous	continuous	ADJ
ejpam-2456	475	6	and	and	CCONJ
ejpam-2456	475	7	bounded	bound	VERB
ejpam-2456	475	8	.	.	PUNCT
ejpam-2456	476	1	then	then	ADV
ejpam-2456	476	2	there	there	PRON
ejpam-2456	476	3	exists	exist	VERB
ejpam-2456	476	4	a	a	DET
ejpam-2456	476	5	unique	unique	ADJ
ejpam-2456	476	6	mild	mild	ADJ
ejpam-2456	476	7	solution	solution	NOUN
ejpam-2456	476	8	of	of	ADP
ejpam-2456	476	9	(	(	PUNCT
ejpam-2456	476	10	14	14	NUM
ejpam-2456	476	11	)	)	PUNCT
ejpam-2456	476	12	on	on	ADP
ejpam-2456	476	13	r.	r.	PROPN
ejpam-2456	476	14	acknowledgements	acknowledgement	NOUN
ejpam-2456	476	15	the	the	DET
ejpam-2456	476	16	authors	author	NOUN
ejpam-2456	476	17	thank	thank	VERB
ejpam-2456	476	18	the	the	DET
ejpam-2456	476	19	reviewers	reviewer	NOUN
ejpam-2456	476	20	of	of	ADP
ejpam-2456	476	21	european	european	ADJ
ejpam-2456	476	22	journal	journal	PROPN
ejpam-2456	476	23	of	of	ADP
ejpam-2456	476	24	pure	pure	ADJ
ejpam-2456	476	25	and	and	CCONJ
ejpam-2456	476	26	applied	applied	ADJ
ejpam-2456	476	27	mathematics	mathematic	NOUN
ejpam-2456	476	28	,	,	PUNCT
ejpam-2456	476	29	for	for	ADP
ejpam-2456	476	30	their	their	PRON
ejpam-2456	476	31	helpful	helpful	ADJ
ejpam-2456	476	32	remarks	remark	NOUN
ejpam-2456	476	33	.	.	PUNCT
ejpam-2456	477	1	references	reference	NOUN
ejpam-2456	477	2	[	[	X
ejpam-2456	477	3	1	1	NUM
ejpam-2456	477	4	]	]	X
ejpam-2456	477	5	r	r	NOUN
ejpam-2456	477	6	p	p	PROPN
ejpam-2456	477	7	agarwal	agarwal	PROPN
ejpam-2456	477	8	,	,	PUNCT
ejpam-2456	477	9	s	s	PART
ejpam-2456	477	10	baghli	baghli	NOUN
ejpam-2456	477	11	,	,	PUNCT
ejpam-2456	477	12	and	and	CCONJ
ejpam-2456	477	13	m	m	PROPN
ejpam-2456	477	14	benchohra	benchohra	NOUN
ejpam-2456	477	15	.	.	PUNCT
ejpam-2456	478	1	controllability	controllability	NOUN
ejpam-2456	478	2	of	of	ADP
ejpam-2456	478	3	mild	mild	ADJ
ejpam-2456	478	4	solutions	solution	NOUN
ejpam-2456	478	5	on	on	ADP
ejpam-2456	478	6	semiinfinite	semiinfinite	ADJ
ejpam-2456	478	7	interval	interval	NOUN
ejpam-2456	478	8	for	for	ADP
ejpam-2456	478	9	classes	class	NOUN
ejpam-2456	478	10	of	of	ADP
ejpam-2456	478	11	semilinear	semilinear	ADJ
ejpam-2456	478	12	functional	functional	ADJ
ejpam-2456	478	13	and	and	CCONJ
ejpam-2456	478	14	neutral	neutral	ADJ
ejpam-2456	478	15	functional	functional	ADJ
ejpam-2456	478	16	evolution	evolution	NOUN
ejpam-2456	478	17	equations	equation	NOUN
ejpam-2456	478	18	with	with	ADP
ejpam-2456	478	19	infinite	infinite	ADJ
ejpam-2456	478	20	delay	delay	NOUN
ejpam-2456	478	21	.	.	PUNCT
ejpam-2456	479	1	applied	apply	VERB
ejpam-2456	479	2	mathematics	mathematic	NOUN
ejpam-2456	479	3	and	and	CCONJ
ejpam-2456	479	4	computation	computation	NOUN
ejpam-2456	479	5	,	,	PUNCT
ejpam-2456	479	6	60(2):253–274	60(2):253–274	NUM
ejpam-2456	479	7	,	,	PUNCT
ejpam-2456	479	8	2009	2009	NUM
ejpam-2456	479	9	.	.	PUNCT
ejpam-2456	480	1	[	[	X
ejpam-2456	480	2	2	2	NUM
ejpam-2456	480	3	]	]	PUNCT
ejpam-2456	480	4	n	n	PRON
ejpam-2456	480	5	u	u	NOUN
ejpam-2456	480	6	ahmed	ahme	VERB
ejpam-2456	480	7	.	.	PUNCT
ejpam-2456	481	1	semigroup	semigroup	PROPN
ejpam-2456	481	2	theory	theory	NOUN
ejpam-2456	481	3	with	with	ADP
ejpam-2456	481	4	applications	application	NOUN
ejpam-2456	481	5	to	to	ADP
ejpam-2456	481	6	systems	system	NOUN
ejpam-2456	481	7	and	and	CCONJ
ejpam-2456	481	8	control	control	NOUN
ejpam-2456	481	9	.	.	PUNCT
ejpam-2456	482	1	harlow	harlow	PROPN
ejpam-2456	482	2	john	john	PROPN
ejpam-2456	482	3	wiley	wiley	PROPN
ejpam-2456	482	4	&	&	CCONJ
ejpam-2456	482	5	sons	sons	PROPN
ejpam-2456	482	6	,	,	PUNCT
ejpam-2456	482	7	inc	inc	PROPN
ejpam-2456	482	8	.	.	PROPN
ejpam-2456	482	9	,	,	PUNCT
ejpam-2456	482	10	new	new	PROPN
ejpam-2456	482	11	york	york	PROPN
ejpam-2456	482	12	,	,	PUNCT
ejpam-2456	482	13	1991	1991	NUM
ejpam-2456	482	14	.	.	PUNCT
ejpam-2456	483	1	[	[	X
ejpam-2456	483	2	3	3	X
ejpam-2456	483	3	]	]	X
ejpam-2456	483	4	d	d	X
ejpam-2456	483	5	aoued	aoued	ADJ
ejpam-2456	483	6	and	and	CCONJ
ejpam-2456	483	7	s	s	NOUN
ejpam-2456	483	8	baghli	baghli	NOUN
ejpam-2456	483	9	-	-	PUNCT
ejpam-2456	483	10	bendimerad	bendimerad	ADJ
ejpam-2456	483	11	.	.	PUNCT
ejpam-2456	484	1	mild	mild	ADJ
ejpam-2456	484	2	solution	solution	NOUN
ejpam-2456	484	3	for	for	ADP
ejpam-2456	484	4	perturbed	perturb	VERB
ejpam-2456	484	5	evolution	evolution	NOUN
ejpam-2456	484	6	equations	equation	NOUN
ejpam-2456	484	7	with	with	ADP
ejpam-2456	484	8	infinite	infinite	ADJ
ejpam-2456	484	9	state	state	NOUN
ejpam-2456	484	10	-	-	PUNCT
ejpam-2456	484	11	dependent	dependent	ADJ
ejpam-2456	484	12	delay	delay	NOUN
ejpam-2456	484	13	.	.	PUNCT
ejpam-2456	485	1	electronic	electronic	ADJ
ejpam-2456	485	2	journal	journal	NOUN
ejpam-2456	485	3	of	of	ADP
ejpam-2456	485	4	qualitative	qualitative	ADJ
ejpam-2456	485	5	theory	theory	NOUN
ejpam-2456	485	6	of	of	ADP
ejpam-2456	485	7	differential	differential	ADJ
ejpam-2456	485	8	equations	equation	NOUN
ejpam-2456	485	9	,	,	PUNCT
ejpam-2456	485	10	2013(59):1–24	2013(59):1–24	PROPN
ejpam-2456	485	11	,	,	PUNCT
ejpam-2456	485	12	2013	2013	NUM
ejpam-2456	485	13	.	.	PUNCT
ejpam-2456	486	1	[	[	X
ejpam-2456	486	2	4	4	X
ejpam-2456	486	3	]	]	X
ejpam-2456	486	4	g	g	NOUN
ejpam-2456	486	5	arthi	arthi	NOUN
ejpam-2456	486	6	and	and	CCONJ
ejpam-2456	486	7	k	k	PROPN
ejpam-2456	486	8	balachandran	balachandran	PROPN
ejpam-2456	486	9	.	.	PUNCT
ejpam-2456	487	1	controllability	controllability	NOUN
ejpam-2456	487	2	of	of	ADP
ejpam-2456	487	3	damped	damp	VERB
ejpam-2456	487	4	second	second	ADJ
ejpam-2456	487	5	-	-	PUNCT
ejpam-2456	487	6	order	order	NOUN
ejpam-2456	487	7	neutral	neutral	ADJ
ejpam-2456	487	8	functional	functional	ADJ
ejpam-2456	487	9	differential	differential	NOUN
ejpam-2456	487	10	systems	system	NOUN
ejpam-2456	487	11	with	with	ADP
ejpam-2456	487	12	impulses	impulse	NOUN
ejpam-2456	487	13	.	.	PUNCT
ejpam-2456	488	1	taiwanese	taiwanese	ADJ
ejpam-2456	488	2	journal	journal	NOUN
ejpam-2456	488	3	of	of	ADP
ejpam-2456	488	4	mathematics	mathematic	NOUN
ejpam-2456	488	5	,	,	PUNCT
ejpam-2456	488	6	16(1):89–106	16(1):89–106	NUM
ejpam-2456	488	7	,	,	PUNCT
ejpam-2456	488	8	2012	2012	NUM
ejpam-2456	488	9	.	.	PUNCT
ejpam-2456	489	1	[	[	X
ejpam-2456	489	2	5	5	NUM
ejpam-2456	489	3	]	]	PUNCT
ejpam-2456	489	4	c	c	NOUN
ejpam-2456	489	5	avramescu	avramescu	NOUN
ejpam-2456	489	6	.	.	PUNCT
ejpam-2456	490	1	some	some	DET
ejpam-2456	490	2	remarks	remark	NOUN
ejpam-2456	490	3	on	on	ADP
ejpam-2456	490	4	a	a	DET
ejpam-2456	490	5	fixed	fix	VERB
ejpam-2456	490	6	point	point	NOUN
ejpam-2456	490	7	theorem	theorem	NOUN
ejpam-2456	490	8	of	of	ADP
ejpam-2456	490	9	krasnoselskii	krasnoselskii	PROPN
ejpam-2456	490	10	.	.	PUNCT
ejpam-2456	491	1	electronic	electronic	ADJ
ejpam-2456	491	2	journal	journal	NOUN
ejpam-2456	491	3	of	of	ADP
ejpam-2456	491	4	qualitative	qualitative	ADJ
ejpam-2456	491	5	theory	theory	NOUN
ejpam-2456	491	6	of	of	ADP
ejpam-2456	491	7	differential	differential	ADJ
ejpam-2456	491	8	equations	equation	NOUN
ejpam-2456	491	9	,	,	PUNCT
ejpam-2456	491	10	2003(5):1–15	2003(5):1–15	PROPN
ejpam-2456	491	11	,	,	PUNCT
ejpam-2456	491	12	2003	2003	NUM
ejpam-2456	491	13	.	.	PUNCT
ejpam-2456	492	1	[	[	X
ejpam-2456	492	2	6	6	NUM
ejpam-2456	492	3	]	]	SYM
ejpam-2456	492	4	s	s	PART
ejpam-2456	492	5	baghli	baghli	NOUN
ejpam-2456	492	6	and	and	CCONJ
ejpam-2456	492	7	m	m	PROPN
ejpam-2456	492	8	benchohra	benchohra	NOUN
ejpam-2456	492	9	.	.	PUNCT
ejpam-2456	493	1	multivalued	multivalue	VERB
ejpam-2456	493	2	evolution	evolution	NOUN
ejpam-2456	493	3	equations	equation	NOUN
ejpam-2456	493	4	with	with	ADP
ejpam-2456	493	5	infinite	infinite	ADJ
ejpam-2456	493	6	delay	delay	NOUN
ejpam-2456	493	7	in	in	ADP
ejpam-2456	493	8	fréchet	fréchet	NOUN
ejpam-2456	493	9	spaces	space	NOUN
ejpam-2456	493	10	.	.	PUNCT
ejpam-2456	494	1	electronic	electronic	ADJ
ejpam-2456	494	2	journal	journal	NOUN
ejpam-2456	494	3	of	of	ADP
ejpam-2456	494	4	qualitative	qualitative	ADJ
ejpam-2456	494	5	theory	theory	NOUN
ejpam-2456	494	6	of	of	ADP
ejpam-2456	494	7	differential	differential	ADJ
ejpam-2456	494	8	equations	equation	NOUN
ejpam-2456	494	9	,	,	PUNCT
ejpam-2456	494	10	33:1–24	33:1–24	NUM
ejpam-2456	494	11	,	,	PUNCT
ejpam-2456	494	12	2008	2008	NUM
ejpam-2456	494	13	.	.	PUNCT
ejpam-2456	495	1	[	[	X
ejpam-2456	495	2	7	7	NUM
ejpam-2456	495	3	]	]	SYM
ejpam-2456	495	4	s	s	PART
ejpam-2456	495	5	baghli	baghli	NOUN
ejpam-2456	495	6	and	and	CCONJ
ejpam-2456	495	7	m	m	PROPN
ejpam-2456	495	8	benchohra	benchohra	NOUN
ejpam-2456	495	9	.	.	PUNCT
ejpam-2456	496	1	uniqueness	uniqueness	NOUN
ejpam-2456	496	2	results	result	NOUN
ejpam-2456	496	3	for	for	ADP
ejpam-2456	496	4	partial	partial	ADJ
ejpam-2456	496	5	functional	functional	ADJ
ejpam-2456	496	6	differential	differential	NOUN
ejpam-2456	496	7	equations	equation	NOUN
ejpam-2456	496	8	in	in	ADP
ejpam-2456	496	9	fréchet	fréchet	NOUN
ejpam-2456	496	10	spaces	space	NOUN
ejpam-2456	496	11	.	.	PUNCT
ejpam-2456	497	1	fixed	fix	VERB
ejpam-2456	497	2	point	point	NOUN
ejpam-2456	497	3	theory	theory	NOUN
ejpam-2456	497	4	,	,	PUNCT
ejpam-2456	497	5	9(2):395–406	9(2):395–406	NUM
ejpam-2456	497	6	,	,	PUNCT
ejpam-2456	497	7	2008	2008	NUM
ejpam-2456	497	8	.	.	PUNCT
ejpam-2456	498	1	[	[	X
ejpam-2456	498	2	8	8	NUM
ejpam-2456	498	3	]	]	SYM
ejpam-2456	498	4	s	s	PART
ejpam-2456	498	5	baghli	baghli	NOUN
ejpam-2456	498	6	,	,	PUNCT
ejpam-2456	498	7	m	m	NOUN
ejpam-2456	498	8	benchohra	benchohra	NOUN
ejpam-2456	498	9	,	,	PUNCT
ejpam-2456	498	10	and	and	CCONJ
ejpam-2456	498	11	k	k	PROPN
ejpam-2456	498	12	ezzinbi	ezzinbi	NOUN
ejpam-2456	498	13	.	.	PUNCT
ejpam-2456	499	1	controllability	controllability	NOUN
ejpam-2456	499	2	results	result	NOUN
ejpam-2456	499	3	for	for	ADP
ejpam-2456	499	4	semilinear	semilinear	ADJ
ejpam-2456	499	5	functional	functional	ADJ
ejpam-2456	499	6	and	and	CCONJ
ejpam-2456	499	7	neutral	neutral	ADJ
ejpam-2456	499	8	functional	functional	ADJ
ejpam-2456	499	9	evolution	evolution	NOUN
ejpam-2456	499	10	equations	equation	NOUN
ejpam-2456	499	11	with	with	ADP
ejpam-2456	499	12	infinite	infinite	ADJ
ejpam-2456	499	13	delay	delay	NOUN
ejpam-2456	499	14	.	.	PUNCT
ejpam-2456	500	1	surveys	survey	NOUN
ejpam-2456	500	2	in	in	ADP
ejpam-2456	500	3	mathematics	mathematic	NOUN
ejpam-2456	500	4	and	and	CCONJ
ejpam-2456	500	5	its	its	PRON
ejpam-2456	500	6	applications	application	NOUN
ejpam-2456	500	7	,	,	PUNCT
ejpam-2456	500	8	4(2):15–39	4(2):15–39	NUM
ejpam-2456	500	9	,	,	PUNCT
ejpam-2456	500	10	2009	2009	NUM
ejpam-2456	500	11	.	.	PUNCT
ejpam-2456	501	1	[	[	X
ejpam-2456	501	2	9	9	NUM
ejpam-2456	501	3	]	]	SYM
ejpam-2456	501	4	s	s	PART
ejpam-2456	501	5	baghli	baghli	NOUN
ejpam-2456	501	6	,	,	PUNCT
ejpam-2456	501	7	m	m	NOUN
ejpam-2456	501	8	benchohra	benchohra	NOUN
ejpam-2456	501	9	,	,	PUNCT
ejpam-2456	501	10	and	and	CCONJ
ejpam-2456	501	11	j	j	PROPN
ejpam-2456	501	12	j	j	PROPN
ejpam-2456	501	13	nieto	nieto	PROPN
ejpam-2456	501	14	.	.	PUNCT
ejpam-2456	502	1	global	global	ADJ
ejpam-2456	502	2	uniqueness	uniqueness	NOUN
ejpam-2456	502	3	results	result	NOUN
ejpam-2456	502	4	for	for	ADP
ejpam-2456	502	5	partial	partial	ADJ
ejpam-2456	502	6	functional	functional	ADJ
ejpam-2456	502	7	and	and	CCONJ
ejpam-2456	502	8	neutral	neutral	ADJ
ejpam-2456	502	9	functional	functional	ADJ
ejpam-2456	502	10	evolution	evolution	NOUN
ejpam-2456	502	11	equations	equation	NOUN
ejpam-2456	502	12	with	with	ADP
ejpam-2456	502	13	state	state	NOUN
ejpam-2456	502	14	-	-	PUNCT
ejpam-2456	502	15	dependent	dependent	ADJ
ejpam-2456	502	16	delay	delay	NOUN
ejpam-2456	502	17	.	.	PUNCT
ejpam-2456	503	1	journal	journal	NOUN
ejpam-2456	503	2	of	of	ADP
ejpam-2456	503	3	advanced	advanced	ADJ
ejpam-2456	503	4	research	research	NOUN
ejpam-2456	503	5	in	in	ADP
ejpam-2456	503	6	differential	differential	ADJ
ejpam-2456	503	7	equations	equation	NOUN
ejpam-2456	503	8	,	,	PUNCT
ejpam-2456	503	9	2(3):35–52	2(3):35–52	NUM
ejpam-2456	503	10	,	,	PUNCT
ejpam-2456	503	11	2010	2010	NUM
ejpam-2456	503	12	.	.	PUNCT
ejpam-2456	504	1	references	reference	NOUN
ejpam-2456	504	2	400	400	NUM
ejpam-2456	504	3	[	[	X
ejpam-2456	504	4	10	10	NUM
ejpam-2456	504	5	]	]	SYM
ejpam-2456	504	6	s	s	PART
ejpam-2456	504	7	baghli	baghli	NOUN
ejpam-2456	504	8	-	-	PUNCT
ejpam-2456	504	9	bendimerad	bendimerad	NOUN
ejpam-2456	504	10	.	.	PUNCT
ejpam-2456	505	1	global	global	ADJ
ejpam-2456	505	2	mild	mild	ADJ
ejpam-2456	505	3	solution	solution	NOUN
ejpam-2456	505	4	for	for	ADP
ejpam-2456	505	5	functional	functional	ADJ
ejpam-2456	505	6	evolution	evolution	NOUN
ejpam-2456	505	7	inclusions	inclusion	NOUN
ejpam-2456	505	8	with	with	ADP
ejpam-2456	505	9	statedependent	statedependent	ADJ
ejpam-2456	505	10	delay	delay	NOUN
ejpam-2456	505	11	.	.	PUNCT
ejpam-2456	506	1	journal	journal	NOUN
ejpam-2456	506	2	of	of	ADP
ejpam-2456	506	3	advanced	advanced	ADJ
ejpam-2456	506	4	research	research	NOUN
ejpam-2456	506	5	in	in	ADP
ejpam-2456	506	6	dynamical	dynamical	ADJ
ejpam-2456	506	7	and	and	CCONJ
ejpam-2456	506	8	control	control	NOUN
ejpam-2456	506	9	systems	system	NOUN
ejpam-2456	506	10	,	,	PUNCT
ejpam-2456	506	11	5(4):1	5(4):1	NUM
ejpam-2456	506	12	–	–	PUNCT
ejpam-2456	506	13	19	19	NUM
ejpam-2456	506	14	,	,	PUNCT
ejpam-2456	506	15	2013	2013	NUM
ejpam-2456	506	16	.	.	PUNCT
ejpam-2456	507	1	[	[	X
ejpam-2456	507	2	11	11	NUM
ejpam-2456	507	3	]	]	X
ejpam-2456	507	4	t	t	PROPN
ejpam-2456	507	5	a	a	DET
ejpam-2456	507	6	burton	burton	PROPN
ejpam-2456	507	7	and	and	CCONJ
ejpam-2456	507	8	c	c	PROPN
ejpam-2456	507	9	kirk	kirk	PROPN
ejpam-2456	507	10	.	.	PUNCT
ejpam-2456	508	1	a	a	DET
ejpam-2456	508	2	fixed	fix	VERB
ejpam-2456	508	3	point	point	NOUN
ejpam-2456	508	4	theorem	theorem	NOUN
ejpam-2456	508	5	of	of	ADP
ejpam-2456	508	6	krasnoselskii	krasnoselskii	PROPN
ejpam-2456	508	7	type	type	NOUN
ejpam-2456	508	8	.	.	PUNCT
ejpam-2456	509	1	mathematische	mathematische	PROPN
ejpam-2456	509	2	nachrichten	nachrichten	PROPN
ejpam-2456	509	3	,	,	PUNCT
ejpam-2456	509	4	189(1):23–31	189(1):23–31	PROPN
ejpam-2456	509	5	,	,	PUNCT
ejpam-2456	509	6	1998	1998	NUM
ejpam-2456	509	7	.	.	PUNCT
ejpam-2456	510	1	[	[	X
ejpam-2456	510	2	12	12	NUM
ejpam-2456	510	3	]	]	PUNCT
ejpam-2456	510	4	n	n	PRON
ejpam-2456	510	5	carmichael	carmichael	PROPN
ejpam-2456	510	6	and	and	CCONJ
ejpam-2456	510	7	m	m	PROPN
ejpam-2456	510	8	d	d	PROPN
ejpam-2456	510	9	quinn	quinn	NOUN
ejpam-2456	510	10	.	.	PUNCT
ejpam-2456	511	1	an	an	DET
ejpam-2456	511	2	approach	approach	NOUN
ejpam-2456	511	3	to	to	ADP
ejpam-2456	511	4	nonlinear	nonlinear	ADJ
ejpam-2456	511	5	control	control	NOUN
ejpam-2456	511	6	problems	problem	NOUN
ejpam-2456	511	7	using	use	VERB
ejpam-2456	511	8	the	the	DET
ejpam-2456	511	9	fixed	fix	VERB
ejpam-2456	511	10	point	point	NOUN
ejpam-2456	511	11	methods	method	NOUN
ejpam-2456	511	12	,	,	PUNCT
ejpam-2456	511	13	degree	degree	NOUN
ejpam-2456	511	14	theory	theory	NOUN
ejpam-2456	511	15	and	and	CCONJ
ejpam-2456	511	16	pseudo	pseudo	NOUN
ejpam-2456	511	17	-	-	NOUN
ejpam-2456	511	18	inverses	inverse	NOUN
ejpam-2456	511	19	.	.	PUNCT
ejpam-2456	512	1	numerical	numerical	ADJ
ejpam-2456	512	2	functional	functional	ADJ
ejpam-2456	512	3	analysis	analysis	NOUN
ejpam-2456	512	4	and	and	CCONJ
ejpam-2456	512	5	optimization	optimization	NOUN
ejpam-2456	512	6	,	,	PUNCT
ejpam-2456	512	7	7(2	7(2	NUM
ejpam-2456	512	8	-	-	PUNCT
ejpam-2456	512	9	3):197–219	3):197–219	NUM
ejpam-2456	512	10	,	,	PUNCT
ejpam-2456	512	11	1984	1984	NUM
ejpam-2456	512	12	-	-	SYM
ejpam-2456	512	13	1985	1985	NUM
ejpam-2456	512	14	.	.	PUNCT
ejpam-2456	513	1	[	[	X
ejpam-2456	513	2	13	13	NUM
ejpam-2456	513	3	]	]	SYM
ejpam-2456	513	4	e	e	NOUN
ejpam-2456	513	5	n	n	CCONJ
ejpam-2456	513	6	chukwu	chukwu	NOUN
ejpam-2456	513	7	and	and	CCONJ
ejpam-2456	513	8	s	s	NOUN
ejpam-2456	513	9	m	m	NOUN
ejpam-2456	513	10	lenhart	lenhart	ADJ
ejpam-2456	513	11	.	.	PUNCT
ejpam-2456	514	1	controllability	controllability	NOUN
ejpam-2456	514	2	questions	question	NOUN
ejpam-2456	514	3	for	for	ADP
ejpam-2456	514	4	nonlinear	nonlinear	ADJ
ejpam-2456	514	5	systems	system	NOUN
ejpam-2456	514	6	in	in	ADP
ejpam-2456	514	7	abstract	abstract	ADJ
ejpam-2456	514	8	spaces	space	NOUN
ejpam-2456	514	9	.	.	PUNCT
ejpam-2456	515	1	journal	journal	NOUN
ejpam-2456	515	2	of	of	ADP
ejpam-2456	515	3	optimization	optimization	NOUN
ejpam-2456	515	4	theory	theory	NOUN
ejpam-2456	515	5	and	and	CCONJ
ejpam-2456	515	6	applications	application	NOUN
ejpam-2456	515	7	,	,	PUNCT
ejpam-2456	515	8	68(3):437–462	68(3):437–462	NOUN
ejpam-2456	515	9	,	,	PUNCT
ejpam-2456	515	10	1991	1991	NUM
ejpam-2456	515	11	.	.	PUNCT
ejpam-2456	516	1	[	[	X
ejpam-2456	516	2	14	14	NUM
ejpam-2456	516	3	]	]	X
ejpam-2456	516	4	c	c	NOUN
ejpam-2456	516	5	corduneanu	corduneanu	NOUN
ejpam-2456	516	6	and	and	CCONJ
ejpam-2456	516	7	v	v	ADP
ejpam-2456	516	8	lakshmikantham	lakshmikantham	NOUN
ejpam-2456	516	9	.	.	PUNCT
ejpam-2456	517	1	equations	equation	NOUN
ejpam-2456	517	2	with	with	ADP
ejpam-2456	517	3	unbounded	unbounded	ADJ
ejpam-2456	517	4	delay	delay	NOUN
ejpam-2456	517	5	.	.	PUNCT
ejpam-2456	518	1	nonlinear	nonlinear	ADJ
ejpam-2456	518	2	analysis	analysis	NOUN
ejpam-2456	518	3	:	:	PUNCT
ejpam-2456	518	4	theory	theory	NOUN
ejpam-2456	518	5	,	,	PUNCT
ejpam-2456	518	6	methods	method	NOUN
ejpam-2456	518	7	&	&	CCONJ
ejpam-2456	518	8	applications	application	NOUN
ejpam-2456	518	9	.	.	PUNCT
ejpam-2456	518	10	,	,	PUNCT
ejpam-2456	518	11	4(5):831–877	4(5):831–877	NUM
ejpam-2456	518	12	,	,	PUNCT
ejpam-2456	518	13	1980	1980	NUM
ejpam-2456	518	14	.	.	PUNCT
ejpam-2456	519	1	[	[	X
ejpam-2456	519	2	15	15	NUM
ejpam-2456	519	3	]	]	X
ejpam-2456	519	4	k	k	PROPN
ejpam-2456	519	5	j	j	PROPN
ejpam-2456	519	6	engel	engel	PROPN
ejpam-2456	519	7	and	and	CCONJ
ejpam-2456	519	8	r	r	PROPN
ejpam-2456	519	9	nagel	nagel	PROPN
ejpam-2456	519	10	.	.	PUNCT
ejpam-2456	520	1	one	one	NUM
ejpam-2456	520	2	-	-	PUNCT
ejpam-2456	520	3	parameter	parameter	NOUN
ejpam-2456	520	4	semigroups	semigroup	NOUN
ejpam-2456	520	5	for	for	ADP
ejpam-2456	520	6	linear	linear	PROPN
ejpam-2456	520	7	evolution	evolution	NOUN
ejpam-2456	520	8	equations	equation	NOUN
ejpam-2456	520	9	.	.	PUNCT
ejpam-2456	521	1	springer	springer	NOUN
ejpam-2456	521	2	-	-	PUNCT
ejpam-2456	521	3	verlag	verlag	PROPN
ejpam-2456	521	4	,	,	PUNCT
ejpam-2456	521	5	new	new	PROPN
ejpam-2456	521	6	york	york	PROPN
ejpam-2456	521	7	,	,	PUNCT
ejpam-2456	521	8	2000	2000	NUM
ejpam-2456	521	9	.	.	PUNCT
ejpam-2456	522	1	[	[	X
ejpam-2456	522	2	16	16	NUM
ejpam-2456	522	3	]	]	PUNCT
ejpam-2456	522	4	a	a	DET
ejpam-2456	522	5	friedman	friedman	PROPN
ejpam-2456	522	6	.	.	PUNCT
ejpam-2456	523	1	partial	partial	ADJ
ejpam-2456	523	2	differential	differential	NOUN
ejpam-2456	523	3	equations	equation	NOUN
ejpam-2456	523	4	.	.	PUNCT
ejpam-2456	524	1	holt	holt	PROPN
ejpam-2456	524	2	,	,	PUNCT
ejpam-2456	524	3	rinehat	rinehat	PROPN
ejpam-2456	524	4	and	and	CCONJ
ejpam-2456	524	5	winston	winston	PROPN
ejpam-2456	524	6	,	,	PUNCT
ejpam-2456	524	7	new	new	PROPN
ejpam-2456	524	8	york	york	PROPN
ejpam-2456	524	9	,	,	PUNCT
ejpam-2456	524	10	1969	1969	NUM
ejpam-2456	524	11	.	.	PUNCT
ejpam-2456	525	1	[	[	X
ejpam-2456	525	2	17	17	NUM
ejpam-2456	525	3	]	]	X
ejpam-2456	525	4	m	m	PROPN
ejpam-2456	525	5	frigon	frigon	NOUN
ejpam-2456	525	6	and	and	CCONJ
ejpam-2456	525	7	a	a	DET
ejpam-2456	525	8	granas	grana	NOUN
ejpam-2456	525	9	.	.	PUNCT
ejpam-2456	526	1	résultats	résultat	NOUN
ejpam-2456	526	2	de	de	ADP
ejpam-2456	526	3	type	type	NOUN
ejpam-2456	526	4	leray	leray	ADJ
ejpam-2456	526	5	-	-	PUNCT
ejpam-2456	526	6	schauder	schauder	NOUN
ejpam-2456	526	7	pour	pour	PROPN
ejpam-2456	526	8	des	des	PROPN
ejpam-2456	526	9	contractions	contractions	PROPN
ejpam-2456	526	10	sur	sur	PROPN
ejpam-2456	526	11	des	des	X
ejpam-2456	526	12	espaces	espaces	X
ejpam-2456	526	13	de	de	X
ejpam-2456	526	14	fréchet	fréchet	NOUN
ejpam-2456	526	15	.	.	PUNCT
ejpam-2456	527	1	annals	annal	NOUN
ejpam-2456	527	2	of	of	ADP
ejpam-2456	527	3	science	science	NOUN
ejpam-2456	527	4	mathematics	mathematic	NOUN
ejpam-2456	527	5	of	of	ADP
ejpam-2456	527	6	québec	québec	PROPN
ejpam-2456	527	7	,	,	PUNCT
ejpam-2456	527	8	22(2):161–168	22(2):161–168	PROPN
ejpam-2456	527	9	,	,	PUNCT
ejpam-2456	527	10	1998	1998	NUM
ejpam-2456	527	11	.	.	PUNCT
ejpam-2456	528	1	[	[	X
ejpam-2456	528	2	18	18	NUM
ejpam-2456	528	3	]	]	PUNCT
ejpam-2456	528	4	t	t	PROPN
ejpam-2456	528	5	gunasekar	gunasekar	PROPN
ejpam-2456	528	6	,	,	PUNCT
ejpam-2456	528	7	f	f	PROPN
ejpam-2456	528	8	paul	paul	PROPN
ejpam-2456	528	9	samuel	samuel	PROPN
ejpam-2456	528	10	,	,	PUNCT
ejpam-2456	528	11	and	and	CCONJ
ejpam-2456	528	12	m	m	NOUN
ejpam-2456	528	13	m	m	VERB
ejpam-2456	528	14	arjunan	arjunan	ADJ
ejpam-2456	528	15	.	.	PUNCT
ejpam-2456	529	1	controllability	controllability	NOUN
ejpam-2456	529	2	results	result	VERB
ejpam-2456	529	3	for	for	ADP
ejpam-2456	529	4	impulsive	impulsive	ADJ
ejpam-2456	529	5	neutral	neutral	ADJ
ejpam-2456	529	6	functional	functional	ADJ
ejpam-2456	529	7	evolution	evolution	NOUN
ejpam-2456	529	8	integrodifferential	integrodifferential	ADJ
ejpam-2456	529	9	inclusions	inclusion	NOUN
ejpam-2456	529	10	with	with	ADP
ejpam-2456	529	11	infinite	infinite	ADJ
ejpam-2456	529	12	delay	delay	NOUN
ejpam-2456	529	13	.	.	PUNCT
ejpam-2456	530	1	european	european	PROPN
ejpam-2456	530	2	international	international	PROPN
ejpam-2456	530	3	journal	journal	PROPN
ejpam-2456	530	4	of	of	ADP
ejpam-2456	530	5	science	science	NOUN
ejpam-2456	530	6	and	and	CCONJ
ejpam-2456	530	7	technology	technology	NOUN
ejpam-2456	530	8	,	,	PUNCT
ejpam-2456	530	9	2(5):196–213	2(5):196–213	NUM
ejpam-2456	530	10	,	,	PUNCT
ejpam-2456	530	11	2013	2013	NUM
ejpam-2456	530	12	.	.	PUNCT
ejpam-2456	531	1	[	[	X
ejpam-2456	531	2	19	19	NUM
ejpam-2456	531	3	]	]	PUNCT
ejpam-2456	531	4	t	t	PROPN
ejpam-2456	531	5	gunasekar	gunasekar	PROPN
ejpam-2456	531	6	,	,	PUNCT
ejpam-2456	531	7	f	f	PROPN
ejpam-2456	531	8	paul	paul	PROPN
ejpam-2456	531	9	samuel	samuel	PROPN
ejpam-2456	531	10	,	,	PUNCT
ejpam-2456	531	11	and	and	CCONJ
ejpam-2456	531	12	m	m	NOUN
ejpam-2456	531	13	m	m	VERB
ejpam-2456	531	14	arjunan	arjunan	ADJ
ejpam-2456	531	15	.	.	PUNCT
ejpam-2456	532	1	controllability	controllability	NOUN
ejpam-2456	532	2	results	result	NOUN
ejpam-2456	532	3	for	for	ADP
ejpam-2456	532	4	second	second	ADJ
ejpam-2456	532	5	order	order	NOUN
ejpam-2456	532	6	impulsive	impulsive	ADJ
ejpam-2456	532	7	neutral	neutral	ADJ
ejpam-2456	532	8	functional	functional	ADJ
ejpam-2456	532	9	integrodifferential	integrodifferential	ADJ
ejpam-2456	532	10	inclusions	inclusion	NOUN
ejpam-2456	532	11	with	with	ADP
ejpam-2456	532	12	infinite	infinite	ADJ
ejpam-2456	532	13	delay	delay	NOUN
ejpam-2456	532	14	.	.	PUNCT
ejpam-2456	533	1	italian	italian	ADJ
ejpam-2456	533	2	journal	journal	NOUN
ejpam-2456	533	3	of	of	ADP
ejpam-2456	533	4	pure	pure	ADJ
ejpam-2456	533	5	and	and	CCONJ
ejpam-2456	533	6	applied	applied	ADJ
ejpam-2456	533	7	mathematics	mathematic	NOUN
ejpam-2456	533	8	,	,	PUNCT
ejpam-2456	533	9	31(27):319–332	31(27):319–332	NUM
ejpam-2456	533	10	,	,	PUNCT
ejpam-2456	533	11	2013	2013	NUM
ejpam-2456	533	12	.	.	PUNCT
ejpam-2456	534	1	[	[	X
ejpam-2456	534	2	20	20	NUM
ejpam-2456	534	3	]	]	X
ejpam-2456	534	4	j	j	PROPN
ejpam-2456	534	5	hale	hale	PROPN
ejpam-2456	534	6	and	and	CCONJ
ejpam-2456	534	7	j	j	PROPN
ejpam-2456	534	8	kato	kato	PROPN
ejpam-2456	534	9	.	.	PROPN
ejpam-2456	534	10	phase	phase	NOUN
ejpam-2456	534	11	space	space	NOUN
ejpam-2456	534	12	for	for	ADP
ejpam-2456	534	13	retarded	retarded	ADJ
ejpam-2456	534	14	equations	equation	NOUN
ejpam-2456	534	15	with	with	ADP
ejpam-2456	534	16	infinite	infinite	ADJ
ejpam-2456	534	17	delay	delay	NOUN
ejpam-2456	534	18	.	.	PUNCT
ejpam-2456	535	1	funkcialaj	funkcialaj	PROPN
ejpam-2456	535	2	ekvacioj	ekvacioj	PROPN
ejpam-2456	535	3	,	,	PUNCT
ejpam-2456	535	4	21(1):11–41	21(1):11–41	NUM
ejpam-2456	535	5	,	,	PUNCT
ejpam-2456	535	6	1978	1978	NUM
ejpam-2456	535	7	.	.	PUNCT
ejpam-2456	536	1	[	[	X
ejpam-2456	536	2	21	21	NUM
ejpam-2456	536	3	]	]	X
ejpam-2456	536	4	j	j	PROPN
ejpam-2456	536	5	k	k	PROPN
ejpam-2456	536	6	hale	hale	PROPN
ejpam-2456	536	7	and	and	CCONJ
ejpam-2456	536	8	s	s	NOUN
ejpam-2456	536	9	m	m	VERB
ejpam-2456	536	10	verduyn	verduyn	ADJ
ejpam-2456	536	11	lunel	lunel	NOUN
ejpam-2456	536	12	.	.	PUNCT
ejpam-2456	537	1	introduction	introduction	NOUN
ejpam-2456	537	2	to	to	ADP
ejpam-2456	537	3	functional	functional	ADJ
ejpam-2456	537	4	differential	differential	ADJ
ejpam-2456	537	5	equations	equation	NOUN
ejpam-2456	537	6	.	.	PUNCT
ejpam-2456	538	1	applied	apply	VERB
ejpam-2456	538	2	mathematical	mathematical	ADJ
ejpam-2456	538	3	sciences	science	NOUN
ejpam-2456	538	4	99	99	NUM
ejpam-2456	538	5	,	,	PUNCT
ejpam-2456	538	6	springer	springer	NOUN
ejpam-2456	538	7	-	-	PUNCT
ejpam-2456	538	8	verlag	verlag	PROPN
ejpam-2456	538	9	,	,	PUNCT
ejpam-2456	538	10	new	new	PROPN
ejpam-2456	538	11	york	york	PROPN
ejpam-2456	538	12	,	,	PUNCT
ejpam-2456	538	13	1993	1993	NUM
ejpam-2456	538	14	.	.	PUNCT
ejpam-2456	539	1	[	[	X
ejpam-2456	539	2	22	22	NUM
ejpam-2456	539	3	]	]	X
ejpam-2456	539	4	e	e	PROPN
ejpam-2456	539	5	hernandez	hernandez	PROPN
ejpam-2456	539	6	,	,	PUNCT
ejpam-2456	539	7	r	r	NOUN
ejpam-2456	539	8	sakthivel	sakthivel	NOUN
ejpam-2456	539	9	,	,	PUNCT
ejpam-2456	539	10	and	and	CCONJ
ejpam-2456	539	11	s	s	PROPN
ejpam-2456	539	12	tanaka	tanaka	PROPN
ejpam-2456	539	13	aki	aki	PROPN
ejpam-2456	539	14	.	.	PROPN
ejpam-2456	540	1	existence	existence	NOUN
ejpam-2456	540	2	results	result	VERB
ejpam-2456	540	3	for	for	ADP
ejpam-2456	540	4	impulsive	impulsive	ADJ
ejpam-2456	540	5	evolution	evolution	NOUN
ejpam-2456	540	6	differential	differential	NOUN
ejpam-2456	540	7	equations	equation	NOUN
ejpam-2456	540	8	with	with	ADP
ejpam-2456	540	9	state	state	NOUN
ejpam-2456	540	10	-	-	PUNCT
ejpam-2456	540	11	dependent	dependent	ADJ
ejpam-2456	540	12	delay	delay	NOUN
ejpam-2456	540	13	.	.	PUNCT
ejpam-2456	541	1	electronic	electronic	ADJ
ejpam-2456	541	2	journal	journal	NOUN
ejpam-2456	541	3	of	of	ADP
ejpam-2456	541	4	differential	differential	ADJ
ejpam-2456	541	5	equations	equation	NOUN
ejpam-2456	541	6	,	,	PUNCT
ejpam-2456	541	7	28(2008):1–11	28(2008):1–11	ADV
ejpam-2456	541	8	,	,	PUNCT
ejpam-2456	541	9	2008	2008	NUM
ejpam-2456	541	10	.	.	PUNCT
ejpam-2456	542	1	[	[	X
ejpam-2456	542	2	23	23	NUM
ejpam-2456	542	3	]	]	X
ejpam-2456	542	4	y	y	PROPN
ejpam-2456	542	5	hino	hino	PROPN
ejpam-2456	542	6	,	,	PUNCT
ejpam-2456	542	7	s	s	VERB
ejpam-2456	542	8	murakami	murakami	NOUN
ejpam-2456	542	9	,	,	PUNCT
ejpam-2456	542	10	and	and	CCONJ
ejpam-2456	542	11	t	t	PROPN
ejpam-2456	542	12	naito	naito	PROPN
ejpam-2456	542	13	.	.	PROPN
ejpam-2456	542	14	functional	functional	ADJ
ejpam-2456	542	15	differential	differential	ADJ
ejpam-2456	542	16	equations	equation	NOUN
ejpam-2456	542	17	with	with	ADP
ejpam-2456	542	18	unbounded	unbounded	ADJ
ejpam-2456	542	19	delay	delay	NOUN
ejpam-2456	542	20	.	.	PUNCT
ejpam-2456	543	1	springer	springer	NOUN
ejpam-2456	543	2	-	-	PUNCT
ejpam-2456	543	3	verlag	verlag	PROPN
ejpam-2456	543	4	,	,	PUNCT
ejpam-2456	543	5	berlin	berlin	PROPN
ejpam-2456	543	6	,	,	PUNCT
ejpam-2456	543	7	1991	1991	NUM
ejpam-2456	543	8	.	.	PUNCT
ejpam-2456	544	1	[	[	X
ejpam-2456	544	2	24	24	NUM
ejpam-2456	544	3	]	]	SYM
ejpam-2456	544	4	v	v	X
ejpam-2456	544	5	kolmanovskii	kolmanovskii	PROPN
ejpam-2456	544	6	and	and	CCONJ
ejpam-2456	544	7	a	a	DET
ejpam-2456	544	8	myshkis	myshki	NOUN
ejpam-2456	544	9	.	.	PUNCT
ejpam-2456	544	10	introduction	introduction	NOUN
ejpam-2456	544	11	to	to	ADP
ejpam-2456	544	12	the	the	DET
ejpam-2456	544	13	theory	theory	NOUN
ejpam-2456	544	14	and	and	CCONJ
ejpam-2456	544	15	applications	application	NOUN
ejpam-2456	544	16	of	of	ADP
ejpam-2456	544	17	functionaldifferential	functionaldifferential	ADJ
ejpam-2456	544	18	equations	equation	NOUN
ejpam-2456	544	19	.	.	PUNCT
ejpam-2456	545	1	kluwer	kluwer	NOUN
ejpam-2456	545	2	academic	academic	ADJ
ejpam-2456	545	3	publishers	publisher	NOUN
ejpam-2456	545	4	,	,	PUNCT
ejpam-2456	545	5	dordrecht	dordrecht	PROPN
ejpam-2456	545	6	,	,	PUNCT
ejpam-2456	545	7	1999	1999	NUM
ejpam-2456	545	8	.	.	PUNCT
ejpam-2456	546	1	references	reference	NOUN
ejpam-2456	546	2	401	401	NUM
ejpam-2456	547	1	[	[	X
ejpam-2456	547	2	25	25	NUM
ejpam-2456	547	3	]	]	X
ejpam-2456	547	4	w	w	PROPN
ejpam-2456	547	5	s	s	PROPN
ejpam-2456	547	6	li	li	PROPN
ejpam-2456	547	7	,	,	PUNCT
ejpam-2456	547	8	y	y	PROPN
ejpam-2456	547	9	k	k	PROPN
ejpam-2456	547	10	chang	chang	PROPN
ejpam-2456	547	11	,	,	PUNCT
ejpam-2456	547	12	and	and	CCONJ
ejpam-2456	547	13	j	j	PROPN
ejpam-2456	547	14	j	j	PROPN
ejpam-2456	547	15	nieto	nieto	PROPN
ejpam-2456	547	16	.	.	PUNCT
ejpam-2456	548	1	solvability	solvability	NOUN
ejpam-2456	548	2	of	of	ADP
ejpam-2456	548	3	impulsive	impulsive	ADJ
ejpam-2456	548	4	neutral	neutral	ADJ
ejpam-2456	548	5	evolution	evolution	NOUN
ejpam-2456	548	6	differential	differential	NOUN
ejpam-2456	548	7	inclusions	inclusion	NOUN
ejpam-2456	548	8	with	with	ADP
ejpam-2456	548	9	state	state	NOUN
ejpam-2456	548	10	-	-	PUNCT
ejpam-2456	548	11	dependent	dependent	ADJ
ejpam-2456	548	12	delay	delay	NOUN
ejpam-2456	548	13	.	.	PUNCT
ejpam-2456	549	1	mathematical	mathematical	ADJ
ejpam-2456	549	2	and	and	CCONJ
ejpam-2456	549	3	computer	computer	NOUN
ejpam-2456	549	4	modelling	modelling	NOUN
ejpam-2456	549	5	,	,	PUNCT
ejpam-2456	549	6	49:1920	49:1920	NUM
ejpam-2456	549	7	–	–	PUNCT
ejpam-2456	549	8	1927	1927	NUM
ejpam-2456	549	9	,	,	PUNCT
ejpam-2456	549	10	2009	2009	NUM
ejpam-2456	549	11	.	.	PUNCT
ejpam-2456	550	1	[	[	X
ejpam-2456	550	2	26	26	NUM
ejpam-2456	550	3	]	]	PUNCT
ejpam-2456	550	4	x	x	X
ejpam-2456	550	5	li	li	PROPN
ejpam-2456	550	6	and	and	CCONJ
ejpam-2456	550	7	j	j	PROPN
ejpam-2456	550	8	yong	yong	PROPN
ejpam-2456	550	9	.	.	PUNCT
ejpam-2456	551	1	optimal	optimal	ADJ
ejpam-2456	551	2	control	control	NOUN
ejpam-2456	551	3	theory	theory	NOUN
ejpam-2456	551	4	for	for	ADP
ejpam-2456	551	5	infinite	infinite	ADJ
ejpam-2456	551	6	dimensional	dimensional	ADJ
ejpam-2456	551	7	systems	system	NOUN
ejpam-2456	551	8	.	.	PUNCT
ejpam-2456	552	1	birkhauser	birkhauser	PROPN
ejpam-2456	552	2	,	,	PUNCT
ejpam-2456	552	3	berlin	berlin	PROPN
ejpam-2456	552	4	,	,	PUNCT
ejpam-2456	552	5	1995	1995	NUM
ejpam-2456	552	6	.	.	PUNCT
ejpam-2456	553	1	[	[	X
ejpam-2456	553	2	27	27	NUM
ejpam-2456	553	3	]	]	X
ejpam-2456	553	4	j	j	PROPN
ejpam-2456	553	5	a	a	DET
ejpam-2456	553	6	machado	machado	PROPN
ejpam-2456	553	7	,	,	PUNCT
ejpam-2456	553	8	c	c	PROPN
ejpam-2456	553	9	ravichandran	ravichandran	NOUN
ejpam-2456	553	10	,	,	PUNCT
ejpam-2456	553	11	m	m	PROPN
ejpam-2456	553	12	rivero	rivero	NOUN
ejpam-2456	553	13	,	,	PUNCT
ejpam-2456	553	14	and	and	CCONJ
ejpam-2456	553	15	j	j	PROPN
ejpam-2456	553	16	j	j	PROPN
ejpam-2456	553	17	trujillo	trujillo	PROPN
ejpam-2456	553	18	.	.	PUNCT
ejpam-2456	554	1	controllability	controllability	NOUN
ejpam-2456	554	2	results	result	NOUN
ejpam-2456	554	3	for	for	ADP
ejpam-2456	554	4	impulsive	impulsive	ADJ
ejpam-2456	554	5	mixed	mixed	ADJ
ejpam-2456	554	6	-	-	PUNCT
ejpam-2456	554	7	type	type	NOUN
ejpam-2456	554	8	functional	functional	ADJ
ejpam-2456	554	9	integro	integro	ADJ
ejpam-2456	554	10	-	-	PUNCT
ejpam-2456	554	11	differential	differential	NOUN
ejpam-2456	554	12	evolution	evolution	NOUN
ejpam-2456	554	13	equations	equation	NOUN
ejpam-2456	554	14	with	with	ADP
ejpam-2456	554	15	nonlocal	nonlocal	ADJ
ejpam-2456	554	16	conditions	condition	NOUN
ejpam-2456	554	17	.	.	PUNCT
ejpam-2456	555	1	fixed	fix	VERB
ejpam-2456	555	2	point	point	NOUN
ejpam-2456	555	3	theory	theory	NOUN
ejpam-2456	555	4	and	and	CCONJ
ejpam-2456	555	5	applications	application	NOUN
ejpam-2456	555	6	,	,	PUNCT
ejpam-2456	555	7	66(2015):1–16	66(2015):1–16	NUM
ejpam-2456	555	8	,	,	PUNCT
ejpam-2456	555	9	2015	2015	NUM
ejpam-2456	555	10	.	.	PUNCT
ejpam-2456	556	1	[	[	X
ejpam-2456	556	2	28	28	NUM
ejpam-2456	556	3	]	]	X
ejpam-2456	556	4	s	s	X
ejpam-2456	556	5	nakagiri	nakagiri	NOUN
ejpam-2456	556	6	and	and	CCONJ
ejpam-2456	556	7	r	r	PROPN
ejpam-2456	556	8	yamamoto	yamamoto	PROPN
ejpam-2456	556	9	.	.	PUNCT
ejpam-2456	557	1	controllability	controllability	NOUN
ejpam-2456	557	2	and	and	CCONJ
ejpam-2456	557	3	observability	observability	NOUN
ejpam-2456	557	4	for	for	ADP
ejpam-2456	557	5	linear	linear	ADJ
ejpam-2456	557	6	retarded	retarded	ADJ
ejpam-2456	557	7	systems	system	NOUN
ejpam-2456	557	8	in	in	ADP
ejpam-2456	557	9	banach	banach	NOUN
ejpam-2456	557	10	space	space	NOUN
ejpam-2456	557	11	.	.	PUNCT
ejpam-2456	558	1	international	international	ADJ
ejpam-2456	558	2	journal	journal	PROPN
ejpam-2456	558	3	of	of	ADP
ejpam-2456	558	4	control	control	NOUN
ejpam-2456	558	5	,	,	PUNCT
ejpam-2456	558	6	49(5):1489–1504	49(5):1489–1504	NUM
ejpam-2456	558	7	,	,	PUNCT
ejpam-2456	558	8	1989	1989	NUM
ejpam-2456	558	9	.	.	PUNCT
ejpam-2456	559	1	[	[	X
ejpam-2456	559	2	29	29	NUM
ejpam-2456	559	3	]	]	X
ejpam-2456	559	4	a	a	DET
ejpam-2456	559	5	pazy	pazy	NOUN
ejpam-2456	559	6	.	.	PUNCT
ejpam-2456	560	1	semigroups	semigroup	NOUN
ejpam-2456	560	2	of	of	ADP
ejpam-2456	560	3	linear	linear	PROPN
ejpam-2456	560	4	operators	operator	NOUN
ejpam-2456	560	5	and	and	CCONJ
ejpam-2456	560	6	applications	application	NOUN
ejpam-2456	560	7	to	to	ADP
ejpam-2456	560	8	partial	partial	ADJ
ejpam-2456	560	9	differential	differential	ADJ
ejpam-2456	560	10	equations	equation	NOUN
ejpam-2456	560	11	.	.	PUNCT
ejpam-2456	561	1	springer	springer	NOUN
ejpam-2456	561	2	-	-	PUNCT
ejpam-2456	561	3	verlag	verlag	PROPN
ejpam-2456	561	4	,	,	PUNCT
ejpam-2456	561	5	new	new	PROPN
ejpam-2456	561	6	york	york	PROPN
ejpam-2456	561	7	,	,	PUNCT
ejpam-2456	561	8	1983	1983	NUM
ejpam-2456	561	9	.	.	PUNCT
ejpam-2456	562	1	[	[	X
ejpam-2456	562	2	30	30	NUM
ejpam-2456	562	3	]	]	SYM
ejpam-2456	562	4	b	b	PROPN
ejpam-2456	562	5	radhakrishnan	radhakrishnan	PROPN
ejpam-2456	562	6	and	and	CCONJ
ejpam-2456	562	7	k	k	PROPN
ejpam-2456	562	8	balachandran	balachandran	PROPN
ejpam-2456	562	9	.	.	PUNCT
ejpam-2456	563	1	controllability	controllability	NOUN
ejpam-2456	563	2	of	of	ADP
ejpam-2456	563	3	nonlinear	nonlinear	ADJ
ejpam-2456	563	4	differential	differential	PROPN
ejpam-2456	563	5	evolution	evolution	NOUN
ejpam-2456	563	6	systems	system	NOUN
ejpam-2456	563	7	in	in	ADP
ejpam-2456	563	8	a	a	DET
ejpam-2456	563	9	separable	separable	ADJ
ejpam-2456	563	10	banach	banach	NOUN
ejpam-2456	563	11	spaces	space	NOUN
ejpam-2456	563	12	.	.	PUNCT
ejpam-2456	564	1	electronic	electronic	ADJ
ejpam-2456	564	2	journal	journal	NOUN
ejpam-2456	564	3	of	of	ADP
ejpam-2456	564	4	differential	differential	ADJ
ejpam-2456	564	5	equations	equation	NOUN
ejpam-2456	564	6	,	,	PUNCT
ejpam-2456	564	7	2012(138):1–13	2012(138):1–13	NUM
ejpam-2456	564	8	,	,	PUNCT
ejpam-2456	564	9	2012	2012	NUM
ejpam-2456	564	10	.	.	PUNCT
ejpam-2456	565	1	[	[	X
ejpam-2456	565	2	31	31	NUM
ejpam-2456	565	3	]	]	SYM
ejpam-2456	565	4	s	s	PART
ejpam-2456	565	5	m	m	NOUN
ejpam-2456	565	6	ramakzishna	ramakzishna	NOUN
ejpam-2456	565	7	,	,	PUNCT
ejpam-2456	565	8	t	t	PROPN
ejpam-2456	565	9	gunasekar	gunasekar	PROPN
ejpam-2456	565	10	,	,	PUNCT
ejpam-2456	565	11	g	g	PROPN
ejpam-2456	565	12	v	v	ADP
ejpam-2456	565	13	subramaniyan	subramaniyan	ADJ
ejpam-2456	565	14	,	,	PUNCT
ejpam-2456	565	15	and	and	CCONJ
ejpam-2456	565	16	m	m	PROPN
ejpam-2456	565	17	suba	suba	PROPN
ejpam-2456	565	18	.	.	PUNCT
ejpam-2456	566	1	controllability	controllability	NOUN
ejpam-2456	566	2	of	of	ADP
ejpam-2456	566	3	impulsive	impulsive	ADJ
ejpam-2456	566	4	neutral	neutral	ADJ
ejpam-2456	566	5	functional	functional	ADJ
ejpam-2456	566	6	integrodifferential	integrodifferential	ADJ
ejpam-2456	566	7	inclusions	inclusion	NOUN
ejpam-2456	566	8	with	with	ADP
ejpam-2456	566	9	an	an	DET
ejpam-2456	566	10	infinite	infinite	ADJ
ejpam-2456	566	11	delay	delay	NOUN
ejpam-2456	566	12	.	.	PUNCT
ejpam-2456	567	1	global	global	ADJ
ejpam-2456	567	2	journal	journal	PROPN
ejpam-2456	567	3	of	of	ADP
ejpam-2456	567	4	pure	pure	ADJ
ejpam-2456	567	5	and	and	CCONJ
ejpam-2456	567	6	applied	applied	ADJ
ejpam-2456	567	7	mathematics	mathematic	NOUN
ejpam-2456	567	8	,	,	PUNCT
ejpam-2456	567	9	10(6):817–834	10(6):817–834	NUM
ejpam-2456	567	10	,	,	PUNCT
ejpam-2456	567	11	2014	2014	NUM
ejpam-2456	567	12	.	.	PUNCT
ejpam-2456	568	1	[	[	X
ejpam-2456	568	2	32	32	NUM
ejpam-2456	568	3	]	]	X
ejpam-2456	568	4	j	j	PROPN
ejpam-2456	568	5	wu	wu	PROPN
ejpam-2456	568	6	.	.	PUNCT
ejpam-2456	568	7	theory	theory	NOUN
ejpam-2456	568	8	and	and	CCONJ
ejpam-2456	568	9	applications	application	NOUN
ejpam-2456	568	10	of	of	ADP
ejpam-2456	568	11	partial	partial	ADJ
ejpam-2456	568	12	functional	functional	ADJ
ejpam-2456	568	13	differential	differential	NOUN
ejpam-2456	568	14	equations	equation	NOUN
ejpam-2456	568	15	.	.	PUNCT
ejpam-2456	569	1	springer	springer	NOUN
ejpam-2456	569	2	-	-	PUNCT
ejpam-2456	569	3	verlag	verlag	PROPN
ejpam-2456	569	4	,	,	PUNCT
ejpam-2456	569	5	new	new	PROPN
ejpam-2456	569	6	york	york	PROPN
ejpam-2456	569	7	,	,	PUNCT
ejpam-2456	569	8	1996	1996	NUM
ejpam-2456	569	9	.	.	PUNCT
ejpam-2456	570	1	[	[	X
ejpam-2456	570	2	33	33	NUM
ejpam-2456	570	3	]	]	X
ejpam-2456	570	4	k	k	PROPN
ejpam-2456	570	5	yosida	yosida	PROPN
ejpam-2456	570	6	.	.	PUNCT
ejpam-2456	571	1	functional	functional	ADJ
ejpam-2456	571	2	analysis	analysis	NOUN
ejpam-2456	571	3	.	.	PUNCT
ejpam-2456	572	1	springer	springer	NOUN
ejpam-2456	572	2	-	-	PUNCT
ejpam-2456	572	3	verlag	verlag	PROPN
ejpam-2456	572	4	,	,	PUNCT
ejpam-2456	572	5	berlin	berlin	PROPN
ejpam-2456	572	6	,	,	PUNCT
ejpam-2456	572	7	6th	6th	ADJ
ejpam-2456	572	8	edition	edition	NOUN
ejpam-2456	572	9	,	,	PUNCT
ejpam-2456	572	10	1980	1980	NUM
ejpam-2456	572	11	.	.	PUNCT
ejpam-2456	573	1	[	[	X
ejpam-2456	573	2	34	34	NUM
ejpam-2456	573	3	]	]	X
ejpam-2456	573	4	j	j	PROPN
ejpam-2456	573	5	zabczyk	zabczyk	PROPN
ejpam-2456	573	6	.	.	PUNCT
ejpam-2456	574	1	mathematical	mathematical	ADJ
ejpam-2456	574	2	control	control	PROPN
ejpam-2456	574	3	theory	theory	PROPN
ejpam-2456	574	4	.	.	PUNCT
ejpam-2456	575	1	birkhauser	birkhauser	PROPN
ejpam-2456	575	2	,	,	PUNCT
ejpam-2456	575	3	berlin	berlin	PROPN
ejpam-2456	575	4	,	,	PUNCT
ejpam-2456	575	5	1992	1992	NUM
ejpam-2456	575	6	.	.	PUNCT