Work

Square mean asymptotically $$\varkappa$$-periodic solution for stochastic integro-differential equations via the degree of nondensifiability

Year: 2026

Type: article

Abstract: In this paper, we explore square-mean asymptotically $$\varkappa$$ -periodic mild solutions from square mean $$\varkappa$$ -periodic limit for a stochastic integro-differential equations driven by Brownian motion, utilizing Grimmer’s resolvent and a version of Darbo’s fixed point theorem based on the degree of nondensifiability. Additionally, an example is given to illustrate our results.

Source: Afrika Matematika

DOI: 10.1007/s13370-026-01411-3

Authors: Abdelhamid Bensalem, Abdelkrim Salim, Mouffak Benchohra, Gaston N’Guérékata

Institutions: Université Djilali de Sidi Bel Abbès, Hassiba Benbouali University of Chlef, Morgan State University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

OpenAlex ID: W7130856202