Approximate Controllability Results for Neutral Stochastic Differential Equations of Sobolev Type with Unbounded Delay in Hilbert Spaces
Authors
-
,IN
R. Nirmalkumar -
,INR. Murugesu
DOI:
https://doi.org/10.18311/jims/2019/16122Keywords:
Approximate Controllability, Fixed Point Theorems, Stochastic Differential Equation, Mild Solution.Abstract
In this paper, we discuss the approximate controllability of the neutral stochastic differential equations of Sobolev type with unbounded delay in Hilbert Spaces. A set of sufficient conditions are established for the existence and approximate controllability of the mild solutions using Krasnoselskii-Schaefer-type fixed point theorems and stochastic analysis theory. An application involving partial differential equation with unbounded delay is addressed.
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Copyright (c) 2018 R. Nirmalkumar, R. Murugesu
This work is licensed under a Creative Commons Attribution 4.0 International License.
Accepted 2018-08-28
Published 2018-12-12
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