Existence, uniqueness and stability results for neutral stochastic differential equations with random impulses

被引：3

作者：

Varshini, S. ^{[1
]}

Banupriya, K. ^{[1
]}

Ramkumar, K. ^{[1
]}

Ravikumar, K. ^{[1
]}

机构：

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

来源：

FILOMAT | 2023年 / 37卷 / 03期

关键词：

Existence; Stability; Random impulsive; Stochastic differential system; Fixed point method; EXPONENTIAL STABILITY;

D O I：

10.2298/FIL2303979V

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This manuscript is devoted to the study of existence, uniqueness and stability results of neutral stochastic differential equations with random impulses. The existence results are obtained by considering sufficient conditions and applying fixed point theory to the aforementioned system. The stability results are proved via continuous dependence on initial value. Finally an example is provided to show the effectiveness of the obtained result.

引用

页码：979 / 987

页数：9

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