Approximate controllability of retarded semilinear stochastic system with non local conditions

被引：27
|
作者：
Shukla A. [1 ]
Arora U. [1 ]
Sukavanam N. [1 ]
机构：
[1] Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee
来源：
Journal of Applied Mathematics and Computing | 2015年 / 49卷 / 1-2期
关键词：
Approximate controllability; Nonlocal conditions; Retarded stochastic semilinear systems;
D O I：
10.1007/s12190-014-0851-9
中图分类号：
学科分类号：
摘要：
This paper deals with the approximate controllability of retarded semilinear stochastic system with nonlocal conditions in Hilbert Spaces under the assumption that the corresponding linear system is approximately controllable. The control function for this system is suitably constructed by using the infinite dimensional controllability operator. With this control function, the sufficient conditions for the approximate controllability of the proposed problem in Hilbert Space are established. The results are obtained by using Banach fixed point theorem. Finally, two examples are provided to illustrate the application of the obtained results. © 2014, Korean Society for Computational and Applied Mathematics.
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页码：513 / 527
页数：14
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