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

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