Ravikumar, Kasinathan and Ramkumar, Kasinathan (2025) Approximate controllability of nonlocal stochastic integrodifferential system in Hilbert spaces. Approximate controllability of nonlocal stochastic integrodifferential system in Hilbert spaces, 203: 106122. pp. 1-10. ISSN 0167-6911

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Abstract

This project investigates the approximate controllability of a class of stochastic integrodifferential equations in
Hilbert space with non-local beginning conditions. In a departure from the conventional concerns expressed
in the literature, we will not consider compactness or the Lipschitz criteria concerning the nonlocal term. We
use the fact that the resolvent operator is compact. We first prove the controllability of the nonlinear system
using Schauder’s fixed point theorem, a method known for its robustness; as well, we also use Grimmer’s
resolvent operator theory. Subsequently, we employ the reliable approximation methods and the powerful
diagonal argument to determine the approximate controllability of the stochastic system. To conclude, we
present an example that validates our theoretical statement.

Item Type: Article
Uncontrolled Keywords: Approximate controllability Integrodifferential equations Nonlocal conditions Resolvent operator
Divisions: PSG College of Arts and Science > Department of Mathematics
Depositing User: Mr Team Mosys
Date Deposited: 27 Oct 2025 06:05
Last Modified: 27 Oct 2025 06:05
URI: https://ir.psgcas.ac.in/id/eprint/2462

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