On stability for semilinear generalized Rayleigh-Stokes equation involving delays

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Quarterly of Applied Mathematics Pub Date : 2022-05-16 DOI:10.1090/qam/1624

Do Lan, P. Tuan

引用次数: 1

Abstract

We consider a functional semilinear Rayleigh-Stokes equation involving fractional derivative. Our aim is to analyze some circumstances, in those the global solvability, and asymptotic behavior of solutions are addressed. By establishing a Halanay type inequality, we show the dissipativity and asymptotic stability of solutions to our problem. In addition, we prove the existence of a compact set of decay solutions by using local estimates and fixed point arguments.

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涉及时滞的半线性广义Rayleigh-Stokes方程的稳定性

考虑一个包含分数阶导数的泛函半线性Rayleigh-Stokes方程。我们的目的是分析在某些情况下，解的全局可解性和渐近性。通过建立一个Halanay型不等式，证明了问题解的耗散性和渐近稳定性。此外，我们利用局部估计和不动点参数证明了一个紧集的衰减解的存在性。

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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来源期刊

Quarterly of Applied Mathematics 数学-应用数学

CiteScore

1.90

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： The Quarterly of Applied Mathematics contains original papers in applied mathematics which have a close connection with applications. An author index appears in the last issue of each volume. This journal, published quarterly by Brown University with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.