Measure Pseudo-S-asymptotically Bloch-Type Periodicity of Some Semilinear Stochastic Integrodifferential Equations

被引：2

作者：

Diop, Amadou ^{[1
]}

Mbaye, Mamadou Moustapha ^{[2
]}

Chang, Yong-Kui ^{[3
]}

N'Guerekata, Gaston Mandata ^{[4
]}

机构：

[1] Gaston Berger Univ, Appl Math Sect, Lab Numer Anal & Comp Sci, St Louis, Senegal

[2] Univ Cheikh Anta Diop, Fac Sci & Tech, Dept Math, BP 5005, Dakar, Senegal

[3] Xidian Univ, Sch Math & Stat, Xian 710071, Shaanxi, Peoples R China

[4] Morgan State Univ, NEERLab, Dept Math, Baltimore, MD 21251 USA

来源：

JOURNAL OF THEORETICAL PROBABILITY | 2024年 / 37卷 / 03期

关键词：

Stochastic processes; Integrodifferential equations; Pseudo-S-asymptotically Bloch-type periodic processes; EVOLUTION-EQUATIONS; MILD SOLUTIONS; EXISTENCE;

D O I：

10.1007/s10959-024-01335-3

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

This paper gives a new property for stochastic processes, called square-mean mu-pseudo-S-asymptotically Bloch-type periodicity. We show how this property is preserved under some operations, such as composition and convolution, for stochastic processes. Our main results extend the classical results on S-asymptotically Bloch-type periodic functions. We also apply our results to some problems involving semilinear stochastic integrodifferential equations in abstract spaces

引用

页码：2253 / 2276

页数：24

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