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

IF 1.1 3区数学 Q1 MATHEMATICS

Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI:10.7153/jmi-2023-17-26

Qiang Li, Xuan Wu

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引用次数: 0

摘要

．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。

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

. 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.

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来源期刊

Journal of Mathematical Inequalities MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.90

自引率

3.40%

发文量

审稿时长

6-12 weeks

期刊介绍： The ''Journal of Mathematical Inequalities'' (''JMI'') presents carefully selected original research articles from all areas of pure and applied mathematics, provided they are concerned with mathematical inequalities and their numerous applications. ''JMI'' will also periodically publish invited survey articles and short notes with interesting results treating the theory of inequalities, as well as relevant book reviews. Only articles written in the English language and in a lucid, expository style will be considered for publication. ''JMI'' primary audience are pure mathematicians, applied mathemathicians and numerical analysts. ''JMI'' is published quarterly; in March, June, September, and December.