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Nirmalkumar, R.
- Approximate Controllability Results for Neutral Stochastic Differential Equations of Sobolev Type with Unbounded Delay in Hilbert Spaces
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Authors
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1 Department of Mathematics, SRMV College of Arts and Science, Coimbatore-641 020, Tamilnadu, IN
1 Department of Mathematics, SRMV College of Arts and Science, Coimbatore-641 020, Tamilnadu, IN
Source
The Journal of the Indian Mathematical Society, Vol 86, No 1-2 (2019), Pagination: 79-94Abstract
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.Keywords
Approximate Controllability, Fixed Point Theorems, Stochastic Differential Equation, Mild Solution.
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