EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR STOCHASTIC IMPULSIVE DIFFERENTIAL EQUATIONS-Reference-Cited by-同舟云学术

EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR STOCHASTIC IMPULSIVE DIFFERENTIAL EQUATIONS

Published:2010-09 Issue:03 Volume:10 Page:375-383
ISSN:0219-4937
Container-title:Stochastics and Dynamics
language:en
Short-container-title:Stoch. Dyn.

Author:

SHEN LIJUAN¹²,SUN JITAO¹

Affiliation:

1. Department of Mathematics, Tongji University, Shanghai 200092, P. R. China

2. Department of Mathematics, Luoyang Normal University, Luoyang, Henan 471022, P. R. China

Abstract

This paper is concerned with the existence and uniqueness of solutions for stochastic impulsive differential equations. Some sufficient conditions are obtained by using the notion of measure of noncompactness and the Leray–Schauder type fixed theorem. Since the conditions do not need special requirement of the impulsive function, the results we obtained is more reflexible. An example will illustrate the effectiveness.

Publisher

World Scientific Pub Co Pte Lt

Subject

Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219493710003005

Reference22 articles.

1. Nonlinear Functional Analysis

2. H∞ filtering for a class of stochastic Markovian jump systems with impulsive effects

3. Nonlinear Integral Equations in Abstract Spaces

4. Existence of solutions for nth order impulsive integro-differential equations in a Banach space

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