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

Author:

Huang Hao,Wu Zheng,Su Xiaofeng

Abstract

AbstractWe 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.

Funder

The Key Natural Science Research Project of Universities of Anhui Province

The Support Program for Outstanding Young Talents of Universities in Anhui Province

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

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