Approximate controllability of second order semilinear stochastic system with nonlocal conditions

被引：41

作者：

Arora, Urvashi ^{[1
]}

Sukavanam, N. ^{[1
]}

机构：

[1] Indian Inst Technol Roorkee, Dept Math, Roorkee 247667, Uttar Pradesh, India

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 258卷

关键词：

Approximate controllability; Semilinear systems; Stochastic control system; Sadovskii's Fixed Point theorem; EVOLUTION EQUATIONS;

D O I：

10.1016/j.amc.2015.01.118

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the approximate controllability of second order semilinear stochastic system involving nonlocal conditions is studied. By using Sadovskii's Fixed Point theorem with stochastic analysis theory, we derive a new set of sufficient conditions for the approximate controllability of second order semilinear stochastic system with nonlocal conditions under the assumption that the corresponding linear system is approximately controllable. Finally, an application to a second order semilinear stochastic system with nonlocal initial condition is provided to illustrate the obtained theory. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：111 / 119

页数：9

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