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
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
收藏
页码:191 / 199
页数:9
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