Approximate controllability of second order semilinear stochastic system with variable delay in control and with nonlocal conditions

作     者：Arora, Urvashi Sukavanam, N. 

作者机构：Indian Inst Technol Roorkee Dept Math Roorkee 247667 Uttar Pradesh India 

出 版 物：《RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO》 (巴勒摩数学会报告)

年 卷 期：2016年第65卷第2期

页      面：307-322页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Ministry of Human Resource Development  MHRD 

主　　题：Approximate controllability Stochastic control system Variable delay Banach fixed point theorem Nonlocal conditions 

摘      要：The present paper is concerned with the study of approximate controllability of a second order semilinear stochastic system with variable delay in control and with nonlocal conditions. The control function for this system has been established with the help of infinite dimensional controllability operator. Using this control function, the sufficient conditions for the approximate controllability of the proposed system have been obtained using Banach Fixed Point theorem. At the end, two examples have been provided to show the effectiveness of the result.