Approximate Controllability Results for Neutral Stochastic Differential Equations of Sobolev Type with Unbounded Delay in Hilbert Spaces

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Authors

  • ,IN
  • ,IN

DOI:

https://doi.org/10.18311/jims/2019/16122

Keywords:

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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Author Biographies

R. Nirmalkumar

Department of Mathematics

SRMV College of Arts and Science

Coimbatore-641 020, Tamilnadu, India

R. Murugesu

Department of Mathematics

SRMV College of Arts and Science

Coimbatore-641 020, Tamilnadu, India

Published

2018-12-12

How to Cite

Nirmalkumar, R., & Murugesu, R. (2018). Approximate Controllability Results for Neutral Stochastic Differential Equations of Sobolev Type with Unbounded Delay in Hilbert Spaces. The Journal of the Indian Mathematical Society, 86(1-2), 79–94. https://doi.org/10.18311/jims/2019/16122
Received 2017-05-20
Accepted 2018-08-28
Published 2018-12-12

 

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