Hilbert空间上一类随机偏泛函积分微分方程的几乎肯定渐近稳定性

IF 0.1 Q4 MATHEMATICS Cogent mathematics & statistics Pub Date : 2019-01-01 DOI:10.1080/25742558.2019.1602928

M. Dieye, M. Diop, K. Ezzinbi

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引用次数: 2

摘要

摘要在这项工作中，我们研究了Hilbert空间上一类随机偏泛函积分微分方程的温和解的渐近性态。利用发展的随机卷积，我们建立了p≥2的均方指数稳定性。同时，证明了p＞2的路径指数稳定性。我们对一个实例的结果进行了扩展，以供说明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Almost sure asymptotic stability for some stochastic partial functional integrodifferential equations on Hilbert spaces

Abstract In this work, we study the asymptotic behavior of the mild solutions of a class of stochastic partial functional integrodifferential equation on Hilbert spaces. Using the stochastic convolution developed, we establish the exponential stability in mean square with p ≥ 2. Also, pathwise exponential stability is proved for p> 2. We extend the result of an example is provided for illustration.

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