Advances on Asymptotic Stability of Impulsive Stochastic Evolution Equations

被引：0

作者：

Bishop, Sheila A. ^{[1
]}

Eke, Kanayo S. ^{[1
]}

Okagbue, Hilary, I ^{[1
]}

机构：

[1] Covenant Univ, Dept Math, Ota, Ogun State, Nigeria

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE | 2021年 / 16卷 / 01期

关键词：

Asymptotic stability; Evolution operator; Stochastic differential equation; Fixed point; Nonlocal initial condition; Mild solution; Impulse effects; FUNCTIONAL-DIFFERENTIAL EQUATIONS; MOMENT EXPONENTIAL STABILITY; MILD SOLUTIONS; EXISTENCE; SYSTEMS; DRIVEN; CONVERGENCE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Asymptotic stability of impulsive stochastic evolution equations (ISEEs) with nonlocal initial conditions is studied. Stability analysis of impulsive stochastic differential equations with local initial conditions has received substantial attention. While relatively, little has been done on asymptotic stability with nonlocal initial conditions. Considering the advantage nonlocal initial value problems have over local initial value problems, we study the asymptotic stability of ISEEs with nonlocal initial conditions. Using the contraction mapping technique and by perturbing the local initial condition, asymptotic stability of ISEEs is established.

引用

页码：99 / 109

页数：11

共 32 条

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