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

共 50 条

[21] Existence of Almost Periodic Solutions to a Class of Non-autonomous Functional Integro-differential Stochastic Equations
Li, Lijie
Feng, Yu
Pan, Weiquan
INFORMATION COMPUTING AND APPLICATIONS, ICICA 2013, PT II, 2013, 392 : 605 - +
[22] Measure Theory and Square-Mean Pseudo Almost Periodic and Automorphic Process: Application to Stochastic Evolution Equations
Diop, Mamadou Abdoul
Ezzinbi, Khalil
Mbaye, Mamadou Moustapha
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2018, 41 (01) : 287 - 310
[23] Measure Theory and Square-Mean Pseudo Almost Periodic and Automorphic Process: Application to Stochastic Evolution Equations
Mamadou Abdoul Diop
Khalil Ezzinbi
Mamadou Moustapha Mbaye
Bulletin of the Malaysian Mathematical Sciences Society, 2018, 41 : 287 - 310
[24] Pseudo asymptotically periodic solutions for fractional integro-differential neutral equations
Min Yang
Qiru Wang
Science China(Mathematics), 2019, 62 (09) : 1705 - 1718
[25] EXISTENCE OF GENERALIZED ALMOST PERIODIC AND ASYMPTOTIC ALMOST PERIODIC SOLUTIONS TO ABSTRACT VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS
Kostic, Marko
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
[26] Pseudo asymptotically periodic solutions for fractional integro-differential neutral equations
Min Yang
Qiru Wang
Science China Mathematics, 2019, 62 : 1705 - 1718
[27] Pseudo asymptotically periodic solutions for fractional integro-differential neutral equations
Yang, Min
Wang, Qiru
SCIENCE CHINA-MATHEMATICS, 2019, 62 (09) : 1705 - 1718
[28] Existence and Exponential Stability of Weighted Pseudo Almost Periodic Classical Solutions of Integro-Differential Equations with Analytic Semigroups
Cao J.
Huang Z.
Differential Equations and Dynamical Systems, 2015, 23 (3) : 241 - 256
[29] Optimal mild solutions and weighted pseudo-almost periodic classical solutions of fractional integro-differential equations
Cao, Junfei
Yang, Qigui
Huang, Zaitang
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (01) : 224 - 234
[30] Weighted pseudo almost automorphic solutions of hyperbolic semilinear integro-differential equations
Xia, Zhinan
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2014, 95 : 50 - 65

← 1 2 3 4 5 →