一类Rosenblatt过程驱动的随机泛函积分微分系统的存在性结果

IF 0.3 Q4 STATISTICS & PROBABILITY

Random Operators and Stochastic Equations Pub Date : 2023-11-15 DOI:10.1515/rose-2023-2020

Amadou Diop, Mamadou Abdoul Diop, Khalil Ezzinbi, Essozimna Kpizim

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引用次数: 0

摘要

摘要研究了一类由Rosenblatt过程驱动的具有不同时滞的随机积分微分方程温和解的存在唯一性。利用Grimmer意义上的解算符、随机分析、不动点方法和非紧测度，我们可以得到保证温和解的替代条件。我们举一个例子来说明这个理论。

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Existence results for some stochastic functional integrodifferential systems driven by Rosenblatt process

Abstract This work investigates the existence and uniqueness of mild solutions to a class of stochastic integral differential equations with various time delay driven by the Rosenblatt process. We can obtain alternative conditions that guarantee mild solutions by using the resolvent operator in the Grimmer sense, stochastic analysis, fixed-point methods, and noncompact measures. We give an example to illustrate the theory.

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来源期刊

Random Operators and Stochastic Equations STATISTICS & PROBABILITY-

CiteScore

0.60

自引率

25.00%

发文量