Stability analysis for neutral stochastic differential equation of second order driven by Poisson jumps

被引：11

作者：

Chadha, Alka ^{[1
]}

Bora, Swaroop Nandan ^{[1
]}

机构：

[1] Indian Inst Technol Guwahati, Dept Math, Gauhati 781039, India

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2017年 / 58卷 / 11期

关键词：

SURE EXPONENTIAL STABILITY; EVOLUTION EQUATIONS; APPROXIMATE CONTROLLABILITY; INFINITE DELAYS; MILD SOLUTIONS; EXISTENCE;

D O I：

10.1063/1.5010614

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper studies the existence, uniqueness, and exponential stability in mean square for the mild solution of neutral second order stochastic partial differential equations with infinite delay and Poisson jumps. By utilizing the Banach fixed point theorem, first the existence and uniqueness of the mild solution of neutral second order stochastic differential equations is established. Then, the mean square exponential stability for the mild solution of the stochastic system with Poisson jumps is obtained with the help of an established integral inequality. Published by AIP Publishing.

引用

页数：13

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