Existence, Uniqueness And Stability Results Of Impulsive Stochastic Semilinear Neutral Functional Partial Integrodifferential Equations With Infinite Delay And Poisson Jumps

被引：0

作者：

Annamalai, Anguraj ^{[1
]}

Kasinathan, Ravikumar ^{[1
]}

Kasinathan, Ramkumar ^{[1
]}

Elsayed, Elsayed Mohammed ^{[2
]}

机构：

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

[2] King Abdulaziz Univ, Fac Sci, IJDept Math, Jeddah 21589, Saudi Arabia

来源：

APPLIED MATHEMATICS E-NOTES | 2021年 / 21卷

关键词：

PARTIAL-DIFFERENTIAL-EQUATIONS; EXPONENTIAL STABILITY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this manuscript, we present results on existence, uniqueness and stability of mild solution of impulsive stochastic semilinear neutral functional partial integrodifferential equations with Poisson jumps under non-Lipschitz condition and Lipschitz condition. The theory of resolvent operator is utilized to exhibit the existence of these mild solutions. The results are obtained by using the method of successive approximation and Bihari's inequality.

引用

页码：467 / 477

页数：11

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