id	sid	eid	entity	type
ma-9	1	1	2021	CARDINAL
ma-9	2	1	j. math	PERSON
ma-9	4	1	1 (	CARDINAL
ma-9	4	2	2021	CARDINAL
ma-9	4	3	1-18doi	CARDINAL
ma-9	4	4	10.28924	CARDINAL
ma-9	4	5	second	ORDINAL
ma-9	4	6	poisson	PERSON
ma-9	4	7	k. ravikumar1	PERSON
ma-9	4	8	k. ramkumar1	PERSON
ma-9	4	9	1department	CARDINAL
ma-9	4	10	psg college of arts	ORG
ma-9	4	11	641 046	CARDINAL
ma-9	4	12	india	GPE
ma-9	4	13	ravikumarkpsg@gmail.com,	ORG
ma-9	4	14	mallory hall	ORG
ma-9	4	15	virginia military institute	ORG
ma-9	4	16	lexington	GPE
ma-9	4	17	24450	DATE
ma-9	5	1	second	ORDINAL
ma-9	9	1	1	CARDINAL
ma-9	10	1	12	CARDINAL
ma-9	11	1	7	CARDINAL
ma-9	11	2	12,14,24].impulsive	CARDINAL
ma-9	11	3	4	CARDINAL
ma-9	11	4	11	DATE
ma-9	11	5	13	DATE
ma-9	11	6	21	DATE
ma-9	11	7	22]etc	CARDINAL
ma-9	14	1	1	CARDINAL
ma-9	14	2	9	DATE
ma-9	14	3	16	DATE
ma-9	14	4	23	CARDINAL
ma-9	17	1	guassian	NORP
ma-9	18	1	20	CARDINAL
ma-9	20	1	second	ORDINAL
ma-9	20	2	https://adac.ee	GPE
ma-9	21	1	j. math	PERSON
ma-9	23	1	1 (	CARDINAL
ma-9	23	2	2021	CARDINAL
ma-9	23	3	2	CARDINAL
ma-9	24	1	28	CARDINAL
ma-9	26	1	0	CARDINAL
ma-9	26	2	k = 1	PERSON
ma-9	26	3	2	DATE
ma-9	29	1	∈	ORG
ma-9	30	1	10	CARDINAL
ma-9	30	2	second	ORDINAL
ma-9	31	1	second	ORDINAL
ma-9	31	2	5	CARDINAL
ma-9	31	3	6	DATE
ma-9	31	4	8	DATE
ma-9	31	5	19	CARDINAL
ma-9	33	1	anguraj	PERSON
ma-9	34	1	3	CARDINAL
ma-9	35	1	+ g(t	PERSON
ma-9	37	1	u)ñ(dt	NORP
ma-9	37	2	t0	GPE
ma-9	37	3	x(ζk	ORG
ma-9	38	1	1	CARDINAL
ma-9	38	2	2	DATE
ma-9	38	3	ζ(θ	GPE
ma-9	39	1	poisson	PERSON
ma-9	39	2	pointtheorem	PERSON
ma-9	40	1	anguraj et.al	PERSON
ma-9	41	1	2	CARDINAL
ma-9	41	2	second	ORDINAL
ma-9	41	3	poisson	PERSON
ma-9	45	1	xt)]dt + g(t	PERSON
ma-9	45	2	xt)dω(t	PERSON
ma-9	46	1	u)ñ(dt	NORP
ma-9	46	2	t0	GPE
ma-9	46	3	x(ξk	ORG
ma-9	46	4	′(ξk	GPE
ma-9	46	5	k = 1	PERSON
ma-9	46	6	2	DATE
ma-9	46	7	1.1	CARDINAL
ma-9	49	1	w(t	PERSON
ma-9	49	2	0	CARDINAL
ma-9	50	1	ω	ORG
ma-9	50	2	1	CARDINAL
ma-9	50	3	2	CARDINAL
ma-9	51	1	1	CARDINAL
ma-9	51	2	2	DATE
ma-9	52	1	1	CARDINAL
ma-9	52	2	2	DATE
ma-9	54	1	ξ0	DATE
ma-9	56	1	x(t	PERSON
ma-9	57	1	dk	PERSON
ma-9	58	1	j. math	PERSON
ma-9	60	1	1 (	CARDINAL
ma-9	60	2	2021	CARDINAL
ma-9	62	1	1	CARDINAL
ma-9	62	2	2	DATE
ma-9	63	1	x(t	PERSON
ma-9	63	2	φ	ORG
ma-9	63	3	φ	ORG
ma-9	63	4	second	ORDINAL
ma-9	63	5	poisson	PERSON
ma-9	64	1	summarizedas follows:(1	PERSON
ma-9	64	2	second	ORDINAL
ma-9	64	3	poisson	PERSON
ma-9	64	4	formulated.(2	TIME
ma-9	65	1	section 2	LAW
ma-9	66	1	section 3	LAW
ma-9	66	2	1.1	CARDINAL
ma-9	67	1	section 4	LAW
ma-9	68	1	2	CARDINAL
ma-9	70	1	two	CARDINAL
ma-9	72	1	2	CARDINAL
ma-9	72	2	σ	ORG
ma-9	73	1	∞	CARDINAL
ma-9	73	2	2	CARDINAL
ma-9	73	3	1	CARDINAL
ma-9	73	4	2	CARDINAL
ma-9	73	5	qen = λnen	PERSON
ma-9	73	6	1	CARDINAL
ma-9	73	7	2	DATE
ma-9	74	1	1	CARDINAL
ma-9	74	2	2	CARDINAL
ma-9	74	3	3	CARDINAL
ma-9	74	4	one	CARDINAL
ma-9	77	1	φ ∈ l(k	PERSON
ma-9	80	1	φ	ORG
ma-9	81	1	lq(k	NORP
ma-9	82	1	φ	PERSON
ma-9	83	1	k → h.	ORG
ma-9	83	2	∈	ORG
ma-9	85	1	ξk	CARDINAL
ma-9	85	2	ξk+1	DATE
ma-9	85	3	0	CARDINAL
ma-9	85	4	1	DATE
ma-9	85	5	j̃	GPE
ma-9	85	6	t ∈ j	ORG
ma-9	86	1	1	CARDINAL
ma-9	86	2	2	DATE
ma-9	87	1	∥x∥l2	PERSON
ma-9	88	1	dp.let	ORDINAL
ma-9	90	1	1	CARDINAL
ma-9	90	2	2	DATE
ma-9	92	1	j. math	PERSON
ma-9	94	1	1 (	CARDINAL
ma-9	94	2	2021	CARDINAL
ma-9	94	3	0],h	DATE
ma-9	96	1	12	DATE
ma-9	97	1	1.1	CARDINAL
ma-9	97	2	n(dt	DATE
ma-9	98	1	27].subsequently	CARDINAL
ma-9	99	1	∈	ORG
ma-9	99	2	c(0	GPE
ma-9	101	1	∈	ORG
ma-9	102	1	2c(t)c(s	CARDINAL
ma-9	102	2	∈	ORG
ma-9	102	3	∈	ORG
ma-9	103	1	s(t)x = ∫	ORG
ma-9	103	2	∈	ORG
ma-9	104	1	c(t)− c(t0	ORG
ma-9	105	1	2.1	CARDINAL
ma-9	106	1	18	CARDINAL
ma-9	106	2	∈	ORG
ma-9	106	3	∈	ORG
ma-9	108	1	2s(s)c(t	ORDINAL
ma-9	110	1	2c(s)c(t	CARDINAL
ma-9	111	1	1.1	CARDINAL
ma-9	111	2	second	ORDINAL
ma-9	111	3	g(t, u(t	ORG
ma-9	112	1	φ ∈	PERSON
ma-9	112	2	∈	ORG
ma-9	112	3	2.1	CARDINAL
ma-9	112	4	∈	ORG
ma-9	112	5	f ∈ l1(0	ORG
ma-9	114	1	j. math	PERSON
ma-9	116	1	1 (	CARDINAL
ma-9	116	2	2021	CARDINAL
ma-9	116	3	5	CARDINAL
ma-9	116	4	2.2	CARDINAL
ma-9	117	1	15	CARDINAL
ma-9	118	1	0	CARDINAL
ma-9	118	2	2.1	CARDINAL
ma-9	120	1	us)ds+ ∫	GPE
ma-9	120	2	0	CARDINAL
ma-9	121	1	− s)f(s	PERSON
ma-9	121	2	xs)ds	PRODUCT
ma-9	121	3	t ≥ 0	DATE
ma-9	122	1	12πi	ORDINAL
ma-9	122	2	∫ γ eλtr(λ2;a)dλ	ORG
ma-9	122	3	c(t	ORG
ma-9	122	4	12πi	ORDINAL
ma-9	123	1	second	ORDINAL
ma-9	124	1	0	CARDINAL
ma-9	125	1	1	CARDINAL
ma-9	125	2	2	DATE
ma-9	125	3	2.2	CARDINAL
ma-9	127	1	{tk	PERSON
ma-9	128	1	0	CARDINAL
ma-9	129	1	2.3	CARDINAL
ma-9	131	1	0	CARDINAL
ma-9	131	2	2.2	CARDINAL
ma-9	131	3	x(t	PERSON
ma-9	132	1	i=1 bic(t)u0 +	PERSON
ma-9	132	2	i=1	NORP
ma-9	135	1	− s)f(s)ds	PERSON
ma-9	136	1	tk+1	GPE
ma-9	136	2	0	CARDINAL
ma-9	136	3	1	DATE
ma-9	137	1	2.3	CARDINAL
ma-9	139	1	0	CARDINAL
ma-9	139	2	17	CARDINAL
ma-9	140	1	0	CARDINAL
ma-9	141	1	− s)f(s)ds	PERSON
ma-9	142	1	0	CARDINAL
ma-9	144	1	t1	ORG
ma-9	144	2	u(t	ORG
ma-9	146	1	− s)f(s)ds	PERSON
ma-9	148	1	t1	ORG
ma-9	149	1	2.4	CARDINAL
ma-9	151	1	− s)f(s)ds	PERSON
ma-9	151	2	2.5	CARDINAL
ma-9	153	1	2.6	CARDINAL
ma-9	154	1	j. math	PERSON
ma-9	156	1	1 (	CARDINAL
ma-9	156	2	2021	CARDINAL
ma-9	157	1	6thus	DATE
ma-9	158	1	− s)f(s)ds+ b1s(t −	PERSON
ma-9	159	1	t1)∫	ORDINAL
ma-9	160	1	− s)f(s)ds+ ∫	PERSON
ma-9	160	2	t t1	GPE
ma-9	160	3	− s)f(s)ds	PERSON
ma-9	161	1	t1	ORG
ma-9	162	1	2.1	CARDINAL
ma-9	164	1	− s)f(s)ds+ ∫	PERSON
ma-9	164	2	t t1	GPE
ma-9	164	3	− s)f(s)ds	PERSON
ma-9	165	1	t1	ORG
ma-9	166	1	t3	ORG
ma-9	170	1	2.7	CARDINAL
ma-9	171	1	0	CARDINAL
ma-9	171	2	− s)f(s)ds+ ∫ t2	PERSON
ma-9	171	3	t1	ORG
ma-9	171	4	2.8	CARDINAL
ma-9	173	1	0	CARDINAL
ma-9	173	2	t1	ORG
ma-9	173	3	2.9	CARDINAL
ma-9	173	4	2.7	CARDINAL
ma-9	173	5	2.1	CARDINAL
ma-9	175	1	+ b2b1	GPE
ma-9	175	2	0	CARDINAL
ma-9	176	1	s(t	ORG
ma-9	176	2	− s)f(s)ds+	GPE
ma-9	177	1	− s)f(s)ds	PERSON
ma-9	178	1	t3	ORG
ma-9	179	1	tk−1	ORG
ma-9	180	1	x(t	PERSON
ma-9	182	1	i=1 bic(t)u0 +	PERSON
ma-9	182	2	i=1	NORP
ma-9	184	1	− s)f(s)ds+ ∫	ORG
ma-9	185	1	ξk	CARDINAL
ma-9	186	1	2.2	CARDINAL
ma-9	186	2	2.3	CARDINAL
ma-9	186	3	1.1	CARDINAL
ma-9	186	4	∈	ORG
ma-9	186	5	2.1	CARDINAL
ma-9	187	1	∈	ORG
ma-9	187	2	∈	ORG
ma-9	187	3	t0 − δ	ORG
ma-9	187	4	1.1	CARDINAL
ma-9	187	5	xt0(s	PERSON
ma-9	187	6	φ(s	GPE
ma-9	187	7	∈	ORG
ma-9	187	8	f(s	DATE
ma-9	187	9	g(s	ORG
ma-9	187	10	h(s	ORG
ma-9	187	11	σ	ORG
ma-9	187	12	a.e.	ORG
ma-9	187	13	t ∈ j	DATE
ma-9	188	1	j. math	PERSON
ma-9	190	1	1 (	CARDINAL
ma-9	190	2	2021	CARDINAL
ma-9	192	1	x(t	PERSON
ma-9	193	1	∞∑ k=0	PERSON
ma-9	193	2	i=1 bi(δi)c(t − t0)φ(0	PERSON
ma-9	193	3	i=1 bi(δi)s(t	PERSON
ma-9	194	1	− h(0	PERSON
ma-9	195	1	i=1	NORP
ma-9	197	1	ξi−1 c(t − s)h(s	PERSON
ma-9	199	1	s)h(s, xs)ds+	DATE
ma-9	199	2	i=1	GPE
ma-9	202	1	ξk	CARDINAL
ma-9	202	2	− s)f(s	PERSON
ma-9	202	3	i=1	GPE
ma-9	204	1	ξi−1	ORG
ma-9	204	2	ξk	CARDINAL
ma-9	204	3	i=1	NORP
ma-9	206	1	ξi−1	ORG
ma-9	206	2	u)n(ds	PERSON
ma-9	207	1	u)n(ds	PERSON
ma-9	207	2	ξk+1)(t	GPE
ma-9	208	1	2.10	CARDINAL
ma-9	209	1	i(a	ORG
ma-9	210	1	∈	ORG
ma-9	210	2	t /∈ a. lemma 2.4	ORG
ma-9	211	1	1	CARDINAL
ma-9	212	1	1))p(∫	CARDINAL
ma-9	213	1	1	CARDINAL
ma-9	214	1	∈	ORG
ma-9	214	2	∥∥c(t)∥∥	ORG
ma-9	214	3	3.1	CARDINAL
ma-9	215	1	c→	ORG
ma-9	216	1	c→	ORG
ma-9	216	2	c→	ORG
ma-9	217	1	c× u→ h e ∥∥f(t	GPE
ma-9	217	2	xt)−	ORG
ma-9	218	1	xt)−	ORG
ma-9	218	2	g(t	PRODUCT
ma-9	218	3	xt)− h(t	ORG
ma-9	218	4	u)− σ	PERSON
ma-9	218	5	u)− σ	PERSON
ma-9	218	6	12 ≤ lσ ∥∥x	QUANTITY
ma-9	218	7	u)− σ	PERSON
ma-9	218	8	12 ≤	QUANTITY
ma-9	220	1	j. math	PERSON
ma-9	222	1	1 (	CARDINAL
ma-9	222	2	2021	CARDINAL
ma-9	222	3	8(h3	CARDINAL
ma-9	222	4	∈	ORG
ma-9	222	5	∈	ORG
ma-9	222	6	0)∥∥2	CARDINAL
ma-9	222	7	0)∥∥2 ≤	QUANTITY
ma-9	222	8	0)∥∥2	CARDINAL
ma-9	222	9	e∥∥σ	ORG
ma-9	222	10	0	DATE
ma-9	223	1	h4	ORG
ma-9	223	2	∈	ORG
ma-9	225	1	3.1	CARDINAL
ma-9	226	1	h1)-(h4	ORG
ma-9	226	2	1.1	CARDINAL
ma-9	228	1	φ	PERSON
ma-9	229	1	i=1 bi(δi)c(t − t0)φ(0	PERSON
ma-9	229	2	i=1 bi(δi)s(t −	PERSON
ma-9	229	3	− h(0	PERSON
ma-9	230	1	i=1	NORP
ma-9	232	1	ξi−1 c(t − s)h(s	PERSON
ma-9	234	1	s)h(s, xs)ds+	DATE
ma-9	234	2	i=1	GPE
ma-9	236	1	− s)f(s	PERSON
ma-9	236	2	i=1	GPE
ma-9	238	1	ξi−1	ORG
ma-9	239	1	ξk	CARDINAL
ma-9	240	1	i=1	NORP
ma-9	242	1	ξi−1	ORG
ma-9	242	2	u)n(ds	PERSON
ma-9	243	1	u)n(ds	PERSON
ma-9	243	2	ξk+1)(t	GPE
ma-9	245	1	φ	ORG
ma-9	247	1	i=1 bi(δi)c(t − t0)φ(0	PERSON
ma-9	248	1	i=1 bi(δi)s(t	PERSON
ma-9	249	1	− h(0	PERSON
ma-9	250	1	i=1	NORP
ma-9	253	1	ξi−1 c(t − s)h(s	PERSON
ma-9	254	1	s)h(s	DATE
ma-9	255	1	j. math	PERSON
ma-9	257	1	1 (	CARDINAL
ma-9	257	2	2021	CARDINAL
ma-9	258	1	i=1	NORP
ma-9	260	1	− s)f(s	PERSON
ma-9	261	1	ξk	CARDINAL
ma-9	261	2	− s)f(s	PERSON
ma-9	263	1	i=1	NORP
ma-9	265	1	ξi−1	ORG
ma-9	265	2	ξk	CARDINAL
ma-9	265	3	i=1	NORP
ma-9	267	1	ξi−1	ORG
ma-9	267	2	u)n(ds	PERSON
ma-9	268	1	u)n(ds	PERSON
ma-9	268	2	ξk+1)(t)∥∥∥∥2 ≤	QUANTITY
ma-9	270	1	i=1 ∥∥bi(δi)∥∥∥∥c(t	GPE
ma-9	273	1	xs)∥∥ds]i[ξk	GPE
ma-9	274	1	ξi−1	ORG
ma-9	274	2	xs)∥∥ds+ ∫	GPE
ma-9	274	3	xs)∥∥ds]i[ξk	GPE
ma-9	274	4	ξi−1	ORG
ma-9	275	1	ξk+1)(t	GPE
ma-9	277	1	ξi−1	ORG
ma-9	277	2	− s)∥∥∥∥σ	PERSON
ma-9	277	3	ñ(ds	ORG
ma-9	278	1	ξk ∫ u	ORG
ma-9	278	2	− s)∥∥∥∥σ	PERSON
ma-9	278	3	ñ(ds	ORG
ma-9	278	4	6 6∑	CARDINAL
ma-9	281	1	i=1 ∥∥bi(δi)∥∥∥∥c(t	GPE
ma-9	282	1	2	CARDINAL
ma-9	282	2	2e∥∥φ(0)∥∥2	CARDINAL
ma-9	285	1	− h(0	PERSON
ma-9	286	1	j. math	PERSON
ma-9	288	1	1 (	CARDINAL
ma-9	288	2	2021	CARDINAL
ma-9	288	3	10 ≤	QUANTITY
ma-9	288	4	2	CARDINAL
ma-9	288	5	− h(0	PERSON
ma-9	288	6	− h(0	PERSON
ma-9	288	7	g3	ORG
ma-9	288	8	xs)∥∥ds+ ∫	GPE
ma-9	288	9	xs)∥∥ds]i[ξk	GPE
ma-9	289	1	1	CARDINAL
ma-9	290	1	2	CARDINAL
ma-9	290	2	t0)∫	GPE
ma-9	290	3	2}(t	CARDINAL
ma-9	292	1	h(s	ORG
ma-9	292	2	0)∥∥2	CARDINAL
ma-9	292	3	0)∥∥2 ds	QUANTITY
ma-9	292	4	2}(t	CARDINAL
ma-9	292	5	t0)∫	GPE
ma-9	292	6	2}(t	CARDINAL
ma-9	292	7	t0)∫	GPE
ma-9	292	8	t t0 lhe	DATE
ma-9	292	9	2m2	CARDINAL
ma-9	293	1	2}(t	CARDINAL
ma-9	294	1	ξi−1	ORG
ma-9	294	2	xs)∥∥ds+ ∫	GPE
ma-9	294	3	xs)∥∥ds]i[ξk	GPE
ma-9	294	4	1	CARDINAL
ma-9	295	1	2	CARDINAL
ma-9	295	2	t0)∫	GPE
ma-9	295	3	xs)∥∥2	ORG
ma-9	295	4	2}(t	CARDINAL
ma-9	296	1	f(s	GPE
ma-9	296	2	0)∥∥2	CARDINAL
ma-9	296	3	0)∥∥2 ds] ≤ 2m̃2	QUANTITY
ma-9	297	1	2}(t	CARDINAL
ma-9	297	2	t0)∫	GPE
ma-9	299	1	2}(t	CARDINAL
ma-9	299	2	t0)∫	GPE
ma-9	299	3	2m̃2	CARDINAL
ma-9	300	1	2}(t	CARDINAL
ma-9	301	1	ξi−1	ORG
ma-9	303	1	1	CARDINAL
ma-9	303	2	2	CARDINAL
ma-9	303	3	∫	ORG
ma-9	303	4	xs)∥∥2	ORG
ma-9	303	5	2}t	LANGUAGE
ma-9	305	1	g(s	ORG
ma-9	305	2	0)∥∥2	CARDINAL
ma-9	305	3	0)∥∥2 ds] ≤ 2m̃2 max{1,n 2}t	QUANTITY
ma-9	305	4	2m̃2	CARDINAL
ma-9	306	1	2}(t	CARDINAL
ma-9	308	1	j. math	PERSON
ma-9	310	1	1 (	CARDINAL
ma-9	310	2	2021	CARDINAL
ma-9	311	1	11	CARDINAL
ma-9	311	2	ξi−1	ORG
ma-9	311	3	− s)∥∥∥∥σ	PERSON
ma-9	311	4	ñ(ds	ORG
ma-9	311	5	ξk ∫ u	ORG
ma-9	311	6	− s)∥∥∥∥σ	PERSON
ma-9	311	7	ñ(ds	ORG
ma-9	311	8	2	CARDINAL
ma-9	311	9	0	DATE
ma-9	311	10	0	DATE
ma-9	311	11	2}(∫	CARDINAL
ma-9	312	1	12 ≤	MONEY
ma-9	312	2	2	CARDINAL
ma-9	313	1	2m̃2	CARDINAL
ma-9	314	1	2}(t − t0)κσ	DATE
ma-9	314	2	t ≤ 6m2n	DATE
ma-9	316	1	2}(t	CARDINAL
ma-9	316	2	12m2	CARDINAL
ma-9	316	3	2}(t	CARDINAL
ma-9	318	1	12m̃2	CARDINAL
ma-9	319	1	2}(t	CARDINAL
ma-9	319	2	2}t	LANGUAGE
ma-9	319	3	12m̃2	CARDINAL
ma-9	319	4	2}(t	CARDINAL
ma-9	319	5	2}∫	CARDINAL
ma-9	319	6	12m̃2	CARDINAL
ma-9	319	7	2}(t − t0)κσ	DATE
ma-9	320	1	supremum	ORG
ma-9	320	2	t0≤t≤t	CARDINAL
ma-9	320	3	t ≤ 6m2n	DATE
ma-9	321	1	2}(t	CARDINAL
ma-9	321	2	sup t0≤t≤t	TIME
ma-9	321	3	12m2	CARDINAL
ma-9	321	4	2}(t	CARDINAL
ma-9	322	1	+ 12m̃2max{1,n 2	MONEY
ma-9	322	2	12m̃2	CARDINAL
ma-9	323	1	2}(t	CARDINAL
ma-9	323	2	12m̃2max{1,n	CARDINAL
ma-9	324	1	2	CARDINAL
ma-9	324	2	12m̃2	CARDINAL
ma-9	324	3	2}(t	CARDINAL
ma-9	325	1	j. math	PERSON
ma-9	327	1	1 (	CARDINAL
ma-9	327	2	2021	CARDINAL
ma-9	328	1	12 ≤ 6m2n	QUANTITY
ma-9	328	2	2}(t	CARDINAL
ma-9	328	3	sup t0≤t≤t e ∥x∥2	TIME
ma-9	328	4	t + 12m2	DATE
ma-9	328	5	2}(t −	GPE
ma-9	328	6	2	CARDINAL
ma-9	329	1	2}(t	CARDINAL
ma-9	330	1	2}(t	CARDINAL
ma-9	330	2	24m̃2	CARDINAL
ma-9	331	1	2}(t −	DATE
ma-9	331	2	t0)lσ	ORG
ma-9	331	3	12m̃2	CARDINAL
ma-9	332	1	2}(t	CARDINAL
ma-9	332	2	2	CARDINAL
ma-9	334	1	2	CARDINAL
ma-9	335	1	− t0)lf	PERSON
ma-9	335	2	c1 =	PERSON
ma-9	336	1	2	CARDINAL
ma-9	338	1	12	CARDINAL
ma-9	338	2	2}(t	CARDINAL
ma-9	339	1	− t0)lf	PERSON
ma-9	340	1	c1	PERSON
ma-9	340	2	φ	PERSON
ma-9	340	3	φ	ORG
ma-9	341	1	have,∥∥(φx)(t)−	ORG
ma-9	342	1	i=1	PERSON
ma-9	345	1	ξi−1 c(t − s)h(s	PERSON
ma-9	346	1	s)h(s	DATE
ma-9	348	1	i=1	NORP
ma-9	350	1	− s)f(s	PERSON
ma-9	351	1	ξk	CARDINAL
ma-9	351	2	− s)f(s	PERSON
ma-9	351	3	i=1	GPE
ma-9	353	1	ξi−1	ORG
ma-9	353	2	ξk	CARDINAL
ma-9	353	3	i=1	NORP
ma-9	355	1	ξi−1	ORG
ma-9	355	2	u)ñ(ds	PERSON
ma-9	356	1	ξk+1)(t)∥∥∥∥2	CARDINAL
ma-9	357	1	i=1	PERSON
ma-9	360	1	ξi−1 c(t − s)h(s	PERSON
ma-9	360	2	t ξk c(t − s)h(s	PERSON
ma-9	361	1	j. math	PERSON
ma-9	363	1	1 (	CARDINAL
ma-9	363	2	2021	CARDINAL
ma-9	363	3	13	CARDINAL
ma-9	364	1	i=1	NORP
ma-9	366	1	− s)f(s	PERSON
ma-9	366	2	ξk	CARDINAL
ma-9	366	3	− s)f(s	PERSON
ma-9	366	4	ys)ds+	PERSON
ma-9	367	1	i=1 k∏	PERSON
ma-9	368	1	ξi−1	ORG
ma-9	368	2	ξk	CARDINAL
ma-9	368	3	i=1	NORP
ma-9	370	1	ξi−1	ORG
ma-9	370	2	u)ñ(ds	PERSON
ma-9	371	1	u)ñ(ds	PERSON
ma-9	371	2	ξk+1)(t)∥∥∥∥2	PRODUCT
ma-9	371	3	2}m2(t	CARDINAL
ma-9	373	1	h(t	ORG
ma-9	373	2	ys)∥∥2 ds+	ORG
ma-9	373	3	4	CARDINAL
ma-9	373	4	2	CARDINAL
ma-9	374	1	t t0 ∥∥f(t	DATE
ma-9	375	1	f(t,	ORG
ma-9	375	2	ys)∥∥2 ds+	ORG
ma-9	375	3	4	CARDINAL
ma-9	375	4	2}m̃2	CARDINAL
ma-9	376	1	g(t	GPE
ma-9	376	2	ys)∥∥2	GPE
ma-9	376	3	4	CARDINAL
ma-9	376	4	2}m̃2	CARDINAL
ma-9	376	5	12	CARDINAL
ma-9	376	6	2}m2(t	CARDINAL
ma-9	377	1	4	CARDINAL
ma-9	377	2	2	CARDINAL
ma-9	378	1	4	CARDINAL
ma-9	378	2	2}m̃2	CARDINAL
ma-9	379	1	4	CARDINAL
ma-9	380	1	2}m̃2	CARDINAL
ma-9	380	2	4	CARDINAL
ma-9	380	3	2}m2(t	CARDINAL
ma-9	381	1	φy)∥∥2	ORG
ma-9	385	1	3max{1,n 2}m2(t	CARDINAL
ma-9	389	1	j. math	PERSON
ma-9	391	1	1 (	CARDINAL
ma-9	391	2	2021	CARDINAL
ma-9	392	1	1.hence φ	CARDINAL
ma-9	393	1	∈	ORG
ma-9	393	2	φ	PERSON
ma-9	396	1	4	CARDINAL
ma-9	397	1	4.1	CARDINAL
ma-9	398	1	1.1	CARDINAL
ma-9	398	2	0	CARDINAL
ma-9	398	3	∥∥ξ −	GPE
ma-9	399	1	y(t	GPE
ma-9	399	2	1.1	CARDINAL
ma-9	399	3	4.1	CARDINAL
ma-9	400	1	x(t	PERSON
ma-9	400	2	x(t	PERSON
ma-9	400	3	1.1	CARDINAL
ma-9	401	1	3.1	CARDINAL
ma-9	401	2	1.1	CARDINAL
ma-9	403	1	x(t	PERSON
ma-9	403	2	x(t	PERSON
ma-9	403	3	1.1	CARDINAL
ma-9	404	1	x(t)− x(t	PERSON
ma-9	405	1	∞∑ k=0	PERSON
ma-9	405	2	i=1 bi(δi)c(t −	PERSON
ma-9	406	1	i=1 bi(δi)s(t	PERSON
ma-9	406	2	φ2	GPE
ma-9	413	1	h(s	PERSON
ma-9	413	2	x(s))]ds+ ∫	GPE
ma-9	414	1	t ξk c(t − s	PERSON
ma-9	416	1	h(s	ORG
ma-9	417	1	i=1	NORP
ma-9	420	1	f(s	ORDINAL
ma-9	421	1	f(s	GPE
ma-9	423	1	f(s	ORDINAL
ma-9	424	1	f(s	GPE
ma-9	425	1	i=1	NORP
ma-9	433	1	i=1	NORP
ma-9	435	1	ξi−1	ORG
ma-9	436	1	ñ(ds	PERSON
ma-9	438	1	ñ(ds	PERSON
ma-9	438	2	ξk+1)(t	GPE
ma-9	439	1	j. math	PERSON
ma-9	441	1	1 (	CARDINAL
ma-9	441	2	2021	CARDINAL
ma-9	441	3	15	CARDINAL
ma-9	446	1	2	CARDINAL
ma-9	447	1	h(s	ORG
ma-9	447	2	xs)∥∥2 ds+	ORG
ma-9	447	3	6m̃2	CARDINAL
ma-9	447	4	2	CARDINAL
ma-9	448	1	f(s	GPE
ma-9	448	2	xs)∥∥2 ds+	ORG
ma-9	449	1	6m̃2	CARDINAL
ma-9	449	2	2	CARDINAL
ma-9	450	1	g(s	ORG
ma-9	450	2	+ 6	DATE
ma-9	450	3	2}m̃2	CARDINAL
ma-9	450	4	12	CARDINAL
ma-9	453	1	2	CARDINAL
ma-9	453	2	t t0 lhe ∥∥x	DATE
ma-9	453	3	2	CARDINAL
ma-9	454	1	2	CARDINAL
ma-9	458	1	2}(t	CARDINAL
ma-9	458	2	t0)lh	NORP
ma-9	458	3	2}(t	CARDINAL
ma-9	458	4	t0)lσ	ORG
ma-9	458	5	t sup t0≤t≤t	TIME
ma-9	459	1	6	CARDINAL
ma-9	460	1	+ m̃2	CARDINAL
ma-9	460	2	+ 12n	DATE
ma-9	460	3	1− 6 max{1,n 2}(t	QUANTITY
ma-9	461	1	+ m̃2	CARDINAL
ma-9	463	1	5n 2	DATE
ma-9	464	1	5	CARDINAL
ma-9	465	1	+ m̃2	CARDINAL
ma-9	465	2	10n	CARDINAL
ma-9	466	1	+ m̃2	CARDINAL
ma-9	467	1	j. math	PERSON
ma-9	469	1	1 (	CARDINAL
ma-9	469	2	2021	CARDINAL
ma-9	470	1	16given	CARDINAL
ma-9	470	2	0	CARDINAL
ma-9	470	3	0	CARDINAL
ma-9	472	1	5	CARDINAL
ma-9	480	1	1√2πeinx	CARDINAL
ma-9	480	2	n ∈ z+	ORG
ma-9	481	1	0	CARDINAL
ma-9	482	1	c(t	ORG
ma-9	484	1	zn	ORG
ma-9	485	1	r.	NORP
ma-9	485	2	∈	ORG
ma-9	485	3	second	ORDINAL
ma-9	485	4	z(t	ORG
ma-9	485	5	x)ds	GPE
ma-9	485	6	5.1	CARDINAL
ma-9	486	1	∂2	CARDINAL
ma-9	488	1	0	CARDINAL
ma-9	490	1	∫ u ∫ 0 −r ε4(s)z(t +	ORG
ma-9	490	2	t0	GPE
ma-9	491	1	0	CARDINAL
ma-9	492	1	1	CARDINAL
ma-9	492	2	2	CARDINAL
ma-9	492	3	3	CARDINAL
ma-9	492	4	5.2	CARDINAL
ma-9	493	1	z(ξk	PERSON
ma-9	494	1	z(t0	ORG
ma-9	496	1	0	CARDINAL
ma-9	496	2	0	CARDINAL
ma-9	496	3	z(t0	ORG
ma-9	497	1	0	CARDINAL
ma-9	497	2	z(t	ORG
ma-9	497	3	0	DATE
ma-9	497	4	z(t	ORG
ma-9	498	1	j. math	PERSON
ma-9	500	1	1 (	CARDINAL
ma-9	500	2	2021	CARDINAL
ma-9	500	3	17let	CARDINAL
ma-9	500	4	dk ≡	ORG
ma-9	500	5	1	CARDINAL
ma-9	500	6	2	DATE
ma-9	502	1	1	CARDINAL
ma-9	502	2	2	DATE
ma-9	506	1	1	CARDINAL
ma-9	506	2	2	DATE
ma-9	506	3	3	DATE
ma-9	506	4	4	DATE
ma-9	506	5	∥∥c(t)∥∥	ORG
ma-9	506	6	∥∥c(t)∥∥	ORG
ma-9	507	1	ε(θ	PERSON
ma-9	509	1	1	CARDINAL
ma-9	509	2	2	DATE
ma-9	509	3	3	DATE
ma-9	509	4	4	DATE
ma-9	510	1	0	CARDINAL
ma-9	513	1	0	CARDINAL
ma-9	515	1	5.1	CARDINAL
ma-9	516	1	6	CARDINAL
ma-9	516	2	second	ORDINAL
ma-9	519	1	1	CARDINAL
ma-9	519	2	a. anguraj	PERSON
ma-9	519	3	m. mallika arjunan	PERSON
ma-9	519	4	e. hernández m	PERSON
ma-9	521	1	86	CARDINAL
ma-9	521	2	2007	DATE
ma-9	522	1	861–872	DATE
ma-9	523	1	00036810701354995.[2	DATE
ma-9	523	2	a. anguraj	PERSON
ma-9	523	3	k. ramkumar	PERSON
ma-9	523	4	k. ravikumar	PERSON
ma-9	525	1	2021	CARDINAL
ma-9	527	1	a. anguraj	PERSON
ma-9	527	2	k. ravikumar	PERSON
ma-9	527	3	j.j. nieto	PERSON
ma-9	527	4	drivenby poisson jumps	PERSON
ma-9	528	1	93 (	CARDINAL
ma-9	528	2	2021	CARDINAL
ma-9	529	1	682–696	DATE
ma-9	530	1	a. anguraj	PERSON
ma-9	530	2	s. wu	PERSON
ma-9	530	3	a. vinodkumar	PERSON
ma-9	532	1	74 (2011)	DATE
ma-9	533	1	331–342	DATE
ma-9	534	1	g. arthi	PERSON
ma-9	534	2	j.h. park	PERSON
ma-9	534	3	h.y. jung	PERSON
ma-9	534	4	second	ORDINAL
ma-9	535	1	j. control	PERSON
ma-9	536	1	88	CARDINAL
ma-9	536	2	2015	CARDINAL
ma-9	536	3	1300–1309	CARDINAL
ma-9	538	1	h. chen	PERSON
ma-9	538	2	second	ORDINAL
ma-9	541	1	2011	DATE
ma-9	541	2	584510	DATE
ma-9	542	1	g. da prato	PERSON
ma-9	542	2	j. zabczyk	GPE
ma-9	542	3	cambridge university press	ORG
ma-9	542	4	cambridge	GPE
ma-9	542	5	1992.[8	CARDINAL
ma-9	542	6	f. jiang	PERSON
ma-9	542	7	h. yang	PERSON
ma-9	542	8	y. shen	PERSON
ma-9	542	9	second	ORDINAL
ma-9	543	1	comput	PERSON
ma-9	544	1	287–288	CARDINAL
ma-9	544	2	2016	CARDINAL
ma-9	544	3	125–133	CARDINAL
ma-9	545	1	https	PERSON
ma-9	546	1	//doi.org/10.1016	PERSON
ma-9	548	1	d.d. bainov	PERSON
ma-9	548	2	1989	DATE
ma-9	552	1	j. math	PERSON
ma-9	554	1	1 (	CARDINAL
ma-9	554	2	2021	CARDINAL
ma-9	554	3	18	CARDINAL
ma-9	555	1	10	CARDINAL
ma-9	555	2	s. li	PERSON
ma-9	555	3	l. shu	PERSON
ma-9	555	4	f. xu	PERSON
ma-9	556	1	91	CARDINAL
ma-9	556	2	2019)	DATE
ma-9	557	1	857–872	CARDINAL
ma-9	559	1	s. vijay	PERSON
ma-9	559	2	integro semilinear	ORG
ma-9	561	1	5	CARDINAL
ma-9	561	2	2017	CARDINAL
ma-9	561	3	25	CARDINAL
ma-9	561	4	x. mao	PERSON
ma-9	561	5	m. horwood	PERSON
ma-9	561	6	chichester	GPE
ma-9	561	7	1997.[13	ORG
ma-9	561	8	niu	ORG
ma-9	561	9	x. shu	PERSON
ma-9	561	10	y. li	PERSON
ma-9	561	11	second	ORDINAL
ma-9	561	12	dyn.	ORG
ma-9	562	1	syst	ORG
ma-9	564	1	28	CARDINAL
ma-9	564	2	2019	DATE
ma-9	565	1	673-690.[14	CARDINAL
ma-9	565	2	l. shu	PERSON
ma-9	566	1	q. zhu	PERSON
ma-9	566	2	f. xu	PERSON
ma-9	566	3	second	ORDINAL
ma-9	566	4	j. appl	PERSON
ma-9	568	1	comput	PERSON
ma-9	569	1	11	CARDINAL
ma-9	569	2	2021	CARDINAL
ma-9	570	1	59–80	CARDINAL
ma-9	570	2	https	PERSON
ma-9	572	1	y. lai	PERSON
ma-9	572	2	y. chen	PERSON
ma-9	574	1	74 (2011	DATE
ma-9	574	2	2003–2011	CARDINAL
ma-9	575	1	c. travis	PERSON
ma-9	575	2	g. webb	PERSON
ma-9	576	1	j. math	PERSON
ma-9	577	1	3 (1977	DATE
ma-9	577	2	555-567.[18	CARDINAL
ma-9	577	3	c. travis	PERSON
ma-9	577	4	g. webb	PERSON
ma-9	577	5	second	ORDINAL
ma-9	578	1	1978	DATE
ma-9	578	2	75-96.[19	CARDINAL
ma-9	578	3	r. murugesu	PERSON
ma-9	578	4	r. poongodi	PERSON
ma-9	578	5	s. dhanalakshmi	PERSON
ma-9	578	6	second	ORDINAL
ma-9	579	1	j. math	PERSON
ma-9	580	1	14	CARDINAL
ma-9	580	2	2017	CARDINAL
ma-9	580	3	3	CARDINAL
ma-9	580	4	a. vinodkumar	PERSON
ma-9	581	1	m. gowrisankar	PERSON
ma-9	581	2	mohankumar	GPE
ma-9	581	3	filomat	ORG
ma-9	581	4	32	DATE
ma-9	581	5	2018	DATE
ma-9	581	6	439-455.[21	CARDINAL
ma-9	581	7	s. wu	PERSON
ma-9	581	8	x. guo	PERSON
ma-9	581	9	y. zhou	PERSON
ma-9	583	1	52	CARDINAL
ma-9	584	1	s. wu	PERSON
ma-9	584	2	x. meng	PERSON
ma-9	586	1	sinica	ORG
ma-9	586	2	20 (2004	DATE
ma-9	586	3	147–154	CARDINAL
ma-9	586	4	x. yang	PERSON
ma-9	586	5	x. li	PERSON
ma-9	586	6	q. xi	PERSON
ma-9	586	7	p. duan	PERSON
ma-9	587	1	biosci.eng	PERSON
ma-9	587	2	15 (2018) 1495–1515	DATE
ma-9	587	3	x. yang	PERSON
ma-9	587	4	q. zhu	PERSON
ma-9	587	5	poisson	PERSON
ma-9	587	6	asian	NORP
ma-9	587	7	j. control	PERSON
ma-9	588	1	16	CARDINAL
ma-9	588	2	1482–1491	CARDINAL
ma-9	589	1	https://doi.org/10.1002/asjc.918.[25]	PERSON
ma-9	590	1	s. zhang	PERSON
ma-9	590	2	w. jiang	PERSON
ma-9	591	1	2018	DATE
ma-9	591	2	2018	DATE
ma-9	591	3	404	CARDINAL
ma-9	592	1	y. zhou	PERSON
ma-9	592	2	s. wu	PERSON
ma-9	592	3	chinese	NORP
ma-9	593	1	j. appl	PERSON
ma-9	594	1	probab	PERSON
ma-9	596	1	26	CARDINAL
ma-9	596	2	2010	DATE
ma-9	596	3	347-356.[27	CARDINAL
ma-9	596	4	d. applebaum	PERSON
ma-9	596	5	cambridge university press	ORG
ma-9	596	6	cambridge	GPE
ma-9	596	7	t. wang	PERSON
ma-9	596	8	s wu	PERSON
ma-9	596	9	chinese),shanghai	GPE
ma-9	596	10	2008	DATE
ma-9	597	1	https://doi.org/10.11948/20190089 https://doi.org/10.11948/20190089	PERSON
ma-9	598	1	https://doi.org/10.1016/j.camwa.2006.04.026	NORP
ma-9	599	1	2	CARDINAL
ma-9	599	2	3	CARDINAL
ma-9	600	1	4	CARDINAL
ma-9	601	1	5	CARDINAL
ma-9	601	2	6	CARDINAL