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.
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页码：30 / 41
页数：12
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