Stability of Global Attractors of Impulsive Infinite-Dimensional Systems

被引：5

作者：

Kapustyan, O. V. ^{[1
]}

Perestyuk, M. O. ^{[1
]}

Romanyuk, I. V. ^{[1
]}

机构：

[1] Shevchenko Kyiv Natl Univ, Kiev, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2018年 / 70卷 / 01期

关键词：

SEMIDYNAMICAL SYSTEMS; DYNAMICAL-SYSTEMS; INCLUSIONS;

D O I：

10.1007/s11253-018-1486-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the stability of global attractor for an impulsive infinite-dimensional dynamical system. The obtained abstract results are applied to a weakly nonlinear parabolic equation whose solutions are subjected to impulsive perturbations at the times of crossing a certain surface of the phase space.

引用

页码：30 / 41

页数：12

共 46 条

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