Existence for a Second-Order Impulsive Neutral Stochastic Integrodifferential Equations with Nonlocal Conditions and Infinite Delay-Reference-Cited by-同舟云学术

Existence for a Second-Order Impulsive Neutral Stochastic Integrodifferential Equations with Nonlocal Conditions and Infinite Delay

Published:2014-02-27 Issue: Volume:2014 Page:1-13
ISSN:2314-8071
Container-title:Chinese Journal of Mathematics
language:en
Short-container-title:Chinese Journal of Mathematics

Author:

Diem Dang Huan¹²^ORCID

Affiliation:

1. Institute of Mathematics, School of Mathematical Science, Nanjing Normal University, Nanjing 210023, China

2. Faculty of Basic Sciences, Bacgiang Agriculture and Forestry University, Bacgiang 21000, Vietnam

Abstract

The current paper is concerned with the existence of mild solutions for a class of second-order impulsive neutral stochastic integrodifferential equations with nonlocal conditions and infinite delays in a Hilbert space. A sufficient condition for the existence results is obtained by using the Krasnoselskii-Schaefer-type fixed point theorem combined with theories of a strongly continuous cosine family of bounded linear operators. Finally, an application to the stochastic nonlinear wave equation with infinite delay is given.

Publisher

Hindawi Limited

Subject

General Materials Science

Link

http://downloads.hindawi.com/archive/2014/143860.pdf

Reference26 articles.

1. Series in Modern Applied Mathematics,1989

2. Controllability of impulsive functional differential systems with infinite delay in Banach spaces

3. Existence results for impulsive neutral functional differential equations with infinite delay

4. A second-order impulsive Cauchy problem

5. Existence results for impulsive neutral functional integrodifferential equations with infinite delay

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