Existence and Hyers-Ulam stability of random impulsive stochastic functional integrodifferential equations with finite delays

被引：3

作者：

Annamalai, Anguraj ^{[1
]}

Ramkumar, Kasinathan ^{[1
]}

Ravikumar, Kasinathan ^{[1
]}

机构：

[1] PSG Coll Arts & Sci, Dept Math, Coimbatore 641014, Tamil Nadu, India

来源：

COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2022年 / 10卷 / 01期

关键词：

Existence; Random impulsive; Hyers-Ulam stability; Integrodifferential equations; DIFFERENTIAL-EQUATIONS; UNIQUENESS;

D O I：

10.22034/cmde.2020.32591.1512

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the existence and Hyers-Ulam stability of random impulsive stochastic functional integrodifferential equations with finite delays. Firstly, we prove the existence of mild solutions to the equations by using Banach fixed point theorem. In the later case we explore the Hyers Ulam stability results under the Lipschitz condition on a bounded and closed interval.

引用

页码：191 / 199

页数：9

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