Anguraj, Annamalai and Ravikumar, Kasinathan (2020) Exponential Stability of Impulsive Neutral Stochastic Integrodifferential Equations Driven by a Poisson Jumps and Time-Varying Delays. Filomat, 34 (6). pp. 1809-1819.

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Abstract

The purpose of this work is to study the impulsive neutral stochastic integrodifferential equations driven by a Poisson jumps and time-varying delays. We use the theory of resolvent operators developed in Grimmer the prove an existence, uniqueness and we establish some conditions ensuring the exponential decay to zero in mean square for the mild solution by means of the Banach fixed point theory. Finally, an illustrative example is given to demonstrate the effectiveness of the results.

Item Type: Article
Uncontrolled Keywords: Resolvent operators, C0-semigroup, Stochastic integrodifferential equations, Mild solutions, Exponential stability.
Divisions: PSG College of Arts and Science > Department of Mathematics
Depositing User: Mr Team Mosys
Date Deposited: 07 Jul 2022 08:12
Last Modified: 07 Jul 2022 08:12
URI: http://ir.psgcas.ac.in/id/eprint/1285

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