Approximate controllability of second-order impulsive neutral stochastic differential equations with state-dependent delay and Poisson jumps

被引：2

作者：

Huang, Hao ^{[1
]}

Wu, Zheng ^{[2
]}

Su, Xiaofeng ^{[1
]}

机构：

[1] Hefei Normal Univ, Sch Math & Stat, Hefei 230601, Anhui, Peoples R China

[2] Anhui Univ, Sch Math Sci, Hefei 230039, Anhui, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2023年 / 2023卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Approximate controllability; Strongly continuous cosine family; Second order; Impulsive neutral stochastic differential equations; State-dependent delay; Poisson jumps; INTEGRODIFFERENTIAL-SYSTEMS; INFINITE DELAY; MILD SOLUTIONS; EXISTENCE;

D O I：

10.1186/s13660-023-02959-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the approximate controllability for a class of second-order impulsive neutral stochastic differential equations with state-dependent delay and Poisson jumps in a real separable Hilbert space. Under the sufficient conditions, we obtain approximate controllability results by virtue of the theory of a strongly continuous cosine family of bounded linear operators combined with stochastic inequality technique and the Sadovskii fixed point theorem. Finally, we illustrate the main results by an example.

引用

页数：26

共 50 条

[21] Existence of solutions and approximate controllability of second-order stochastic differential systems with Poisson jumps and finite delay [J].

Su, Xiaofeng ;

Yan, Dongxue ;

Fu, Xianlong .

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2024, 26 (04)

[22] A note on the approximate controllability of damped second-order differential inclusions with state-dependent delay [J].

Sasikumar, R. ;

Vijayakumar, V. .

OPTIMIZATION, 2024,

[23] Exponential stability of non-instantaneous impulsive second-order fractional neutral stochastic differential equations with state-dependent delay [J].

Kasinathan, Dhanalakshmi ;

Chalishajar, Dimplekumar ;

Kasinathan, Ramkumar ;

Kasinathan, Ravikumar .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2024, 451

[24] Approximate controllability of neutral stochastic integro-differential equations with state-dependent delay [J].

Li, Meili ;

Huang, Mingcui ;

Liu, Man .

JOURNAL OF COUPLED SYSTEMS AND MULTISCALE DYNAMICS, 2016, 4 (02) :119-128

[25] Approximate Controllability of Second-Order Systems with State-Dependent Delay [J].

Sakthivel, R. ;

Anandhi, E. R. ;

Mahmudov, N. I. .

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2008, 29 (11-12) :1347-1362

[26] APPROXIMATE CONTROLLABILITY FOR SECOND-ORDER STOCHASTIC NEUTRAL EVOLUTION EQUATIONS WITH INFINITE DELAY [J].

Kang, Xiaodong ;

Fan, Hongxia .

EVOLUTION EQUATIONS AND CONTROL THEORY, 2024, 13 (01) :140-159

[27] EXISTENCE OF SOLUTION AND APPROXIMATE CONTROLLABILITY OF A SECOND-ORDER NEUTRAL STOCHASTIC DIFFERENTIAL EQUATION WITH STATE DEPENDENT DELAY [J].

Sanjukta DAS ;

Dwijendra PANDEY ;

N. SUKAVANAM .

Acta Mathematica Scientia, 2016, (05) :1509-1523

[28] EXISTENCE OF SOLUTION AND APPROXIMATE CONTROLLABILITY OF A SECOND-ORDER NEUTRAL STOCHASTIC DIFFERENTIAL EQUATION WITH STATE DEPENDENT DELAY [J].

Das, Sanjukta ;

Pandey, Dwijendra ;

Sukavanam, N. .

ACTA MATHEMATICA SCIENTIA, 2016, 36 (05) :1509-1523

[29] CONTROLLABILITY RESULTS FOR SECOND-ORDER INTEGRO-DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY [J].

Bensalem, Abdelhamid ;

Salim, Abdelkrim ;

Benchohra, Mouffak ;

Nieto, Juan J. .

EVOLUTION EQUATIONS AND CONTROL THEORY, 2023, 12 (06) :1559-1576

[30] APPROXIMATE CONTROLLABILITY OF IMPULSIVE INTEGRODIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY [J].

Fall, M. ;

Dehigbe, B. ;

Ezzinbi, K. ;

Diop, M. A. .

MATEMATICHE, 2024, 79 (01) :51-77

← 1 2 3 4 5 →