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

Afrika Matematika 2026 Open access

Read full text
Authors: Abdelhamid Bensalem, Abdelkrim Salim, Mouffak Benchohra, Gaston M. N‘Guérékata
DOI: 10.1007/s13370-026-01411-3
Cited by: 1
References: 27

Abstract

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.

Fields of Study & Subjects

Stochastic processes and financial applications Nonlinear Differential Equations Analysis Fuzzy Systems and Optimization

Publication details

Journal / source
Afrika Matematika
Publisher
Springer Science and Business Media LLC
Volume
37
Issue
1
Publication date
21 February 2026
Language
EN