一类随机偏泛函积分微分方程α-范数的稳定性

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of the Korean Mathematical Society Pub Date : 2019-01-01 DOI:10.4134/JKMS.J180116

M. Diop, K. Ezzinbi, Modou Lo

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引用次数: 0

摘要

本文研究了一类随机偏泛函积分微分方程解α-范数的存在性、唯一性和稳定性。我们假设线性部分具有在Grimmer[8]中给出的意义上的解析解算符，并且非线性部分对与线性部分相关的α-范数满足Hölder型条件。首先，我们研究了温和解的存在性。其次，我们研究了pth时刻(p > 2)的指数稳定性，并通过一个例子说明了我们的结果。这项工作扩展了许多先前关于随机偏泛函微分方程的结果。

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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STABILITY IN THE α-NORM FOR SOME STOCHASTIC PARTIAL FUNCTIONAL INTEGRODIFFERENTIAL EQUATIONS

In this work, we study the existence, uniqueness and stability in the α-norm of solutions for some stochastic partial functional integrodifferential equations. We suppose that the linear part has an analytic resolvent operator in the sense given in Grimmer [8] and the nonlinear part satisfies a Hölder type condition with respect to the α-norm associated to the linear part. Firstly, we study the existence of the mild solutions. Secondly, we study the exponential stability in pth moment (p > 2). Our results are illustrated by an example. This work extends many previous results on stochastic partial functional differential equations.

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来源期刊

Journal of the Korean Mathematical Society 数学-数学

CiteScore

1.20

自引率

16.70%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).