非lipschitz系数中立型随机泛函微分方程的不变测度

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-11-11 DOI:10.3934/eect.2022005

A. Stanzhytskyi, Oleksandr Stanzhytskyi, Oleksandr Misiats

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引用次数: 3

摘要

本文研究了具有非lipschitz非线性的Hilbert空间中中性型非线性随机泛函微分方程的长时间行为。我们建立了这类方程位移空间中不变测度的存在性。我们的方法是基于测度族紧密性的Krylov-Bogoliubov定理。

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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Invariant measure for neutral stochastic functional differential equations with non-Lipschitz coefficients

In this work we study the long time behavior of nonlinear stochastic functional-differential equations of neutral type in Hilbert spaces with non-Lipschitz nonlinearities. We establish the existence of invariant measures in the shift spaces for such equations. Our approach is based on Krylov-Bogoliubov theorem on the tightness of the family of measures.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.