Existence and asymptotic behavior of square-mean S-asymptotically periodic solutions for stochastic evolution equation involving delay

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.7153/jmi-2023-17-26

Qiang Li, Xuan Wu

引用次数: 0

Abstract

. This paper studies the stochastic evolution equations with ﬁ nite delay. By means of the compact semigroup theory and Schauder ﬁ xed point theorem, the existence of square-mean S -asymptotically periodic mild solutions is obtained under certain growth conditions. In addition, using the contraction mapping principle and Gronwall integral inequality, the uniqueness and global asymptotic stability of the square-mean S -asymptotically periodic mild solutions are discussed. Finally, an example is given to illustrate our abstract results.

查看原文本刊更多论文

涉及时滞的随机演化方程s渐近周期均方根解的存在性和渐近性

．本文研究了有限时滞随机演化方程。利用紧半群理论和Schauder不动点定理，在一定的增长条件下，得到了S -渐近周期温和解的均方存在性。此外，利用收缩映射原理和Gronwall积分不等式，讨论了S -渐近周期温和解的唯一性和全局渐近稳定性。最后，给出了一个例子来说明我们的抽象结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

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.