测量某些半线性随机积分微分方程的伪 S-渐近布洛赫型周期性

Pub Date : 2024-05-03 DOI:10.1007/s10959-024-01335-3

Amadou Diop, Mamadou Moustapha Mbaye, Yong-Kui Chang, Gaston Mandata N’Guérékata

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引用次数: 0

摘要

本文给出了随机过程的一个新特性，称为方均（\mu -\）伪S-渐近布洛赫型周期性。我们展示了随机过程在一些操作（如组合和卷积）下如何保留这一性质。我们的主要结果扩展了关于 S-asymptotically Bloch 型周期函数的经典结果。我们还将我们的结果应用于一些涉及抽象空间中半线性随机积分微分方程的问题

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

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

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