P-MEAN (μ1,μ2)-PSEUDO ALMOST PERIODIC PROCESSES AND APPLICATION TO INTEGRO-DIFFERENTIAL STOCHASTIC EVOLUTION EQUATIONS

被引：1

作者：

Ayachi, Moez ^{[1
]}

Abbas, Syed ^{[2
]}

机构：

[1] Univ Gabes, Fac Sci Gabes, Lab Math & Applicat LR17ES11, Gabes 6072, Tunisia

[2] Indian Inst Technol Mandi, Sch Math & Stat Sci, Mandi 175005, HP, India

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2024年 / 2024卷 / 24期

关键词：

P-mean; (mu(1); mu(2))-pseudo almost periodic process; fixed-point theorem; integro-differential stochastic evolution equation; existence; stability; MU-PSEUDO; EXISTENCE; STABILITY; DRIVEN;

D O I：

10.58997/ejde.2024.24

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we investigate the existence and stability of pmean (mu(1), mu(2)) -pseudo almost periodic solutions for a class of non -autonomous integro-differential stochastic evolution equations in a real separable Hilbert space. Using stochastic analysis techniques and the contraction mapping principle, we prove the existence and uniqueness of p -mean (mu(1), mu(2)) -pseudo almost periodic solutions. We also provide sufficient conditions for the stability of these solutions. Finally, we present three examples with numerical simulations to illustrate the significance of the main findings.

引用

页码：1 / 26

页数：26

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