Ramkumar Kasinathan and Ravikumar Kasinathan (2024) Existence and exponential stability in p th moment of non-autonomous stochastic integro-differential equations. Existence and exponential stability in pth moment of non-autonomousstochastic integro-differential equations, 96 (8). pp. 1985-2008.
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Existence and exponential stability in pth moment of non-autonomous stochastic integro-differential equations.pdf - Published Version
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Abstract
This study is concerned with the existence and exponential sta
bility of solutions of non-autonomous neutral stochastic integro
differential equations with delay; the linear part of this equation is
dependent on time and generates a linear evolution system. The
obtained results are applied to some neutral stochastic integro
differential equations. These kinds of equations arise in systems
related to couple oscillators in a noisy environment or in viscoelastic
materials under random or stochastic influences. Finally, we provide
an exampletoillustrate the results.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Stochastic integro-differential equations; resolvent operator; mild solutions; stability in the pth moment |
| Divisions: | PSG College of Arts and Science > Department of Mathematics |
| Depositing User: | Dr. B Sivakumar |
| Date Deposited: | 04 Nov 2025 09:30 |
| Last Modified: | 17 Nov 2025 05:37 |
| URI: | https://ir.psgcas.ac.in/id/eprint/2515 |
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