Work

Square integrable solutions and stability of a second-order stochastic integro-differential equation

Year: 2026

Type: article

Abstract: This article investigates the stochastic asymptotic stability, boundedness, and square integrability of solutions to a class of second-order nonlinear stochastic integro-differential equations with multiple variable delays. The analysis is conducted through the construction of an appropriate Lyapunov-Krasovskii functional (L-KF), tailored to handle the combined effects of stochastic perturbations, time-varying delays, and integro-differential memory terms. Unlike many existing studies, our framework accommodates all these complexities simultaneously, thereby generalizing and extending recent contributions in the field while relaxing several restrictive assumptions. To validate the theoretical results and illustrate their practical applicability, numerical simulations are provided.

Source: Scientific Reports

DOI: 10.1038/s41598-026-37970-5

Authors: Linda Fatima Oudjedi-Damerdji, Mohammed Meziane, Omar Djidel, Salah Boulaaras, Asma Alharbi

Institutions: Oran Graduate School of Economics, Tissemsilt University, Qassim University

Language: English

Topic: Stability and Control of Uncertain Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,690

OpenAlex ID: W7127346918