Ramkumar Kasinathan and Ravikumar Kasinathan (2022) Existence, uniqueness and Hyers-Ulam stability of random impulsive stochastic integro-di erential equations with nonlocal conditions. Existence, uniqueness and Hyers-Ulam stability of random impulsive stochastic integro-di erential equations with nonlocal conditions, 8 (2). pp. 2556-2575. ISSN 2556-2575

[thumbnail of Existence, uniqueness and Hyers-Ulam stability of random impulsive stochastic integro-differential equations with nonlocal conditions.pdf] Text
Existence, uniqueness and Hyers-Ulam stability of random impulsive stochastic integro-differential equations with nonlocal conditions.pdf - Published Version
Download (297kB)

Abstract

In this article, we study the existence and stability results of mild solutions for
random impulsive stochastic integro-di erential equations (RISIDEs) with noncompact semigroups
and resolvent operators in Hilbert spaces. Initially, we prove the existence of mild solutions using
Hausdor measures of noncompactness and M¨onch fixed point theorem. Then, we explore the
stability results which includes continuous dependence of initial conditions, Hyers-Ulam stability and
mean-square stability of the system by developing some new analysis techniques and establishing an
improved inequality. Finally, we propose an example to validate the obtained results.

Item Type: Article
Uncontrolled Keywords: stochastic differential equations, random impulse, Hyers-Ulam stability, mean-square exponential stability
Divisions: PSG College of Arts and Science > Department of Mathematics
Depositing User: Dr. B Sivakumar
Date Deposited: 10 Nov 2025 09:58
Last Modified: 17 Nov 2025 05:48
URI: https://ir.psgcas.ac.in/id/eprint/2521

Actions (login required)

View Item
View Item