EXISTENCE AND ASYMPTOTIC STABILITY OF PERIODIC SOLUTIONS FOR NEUTRAL EVOLUTION EQUATIONS WITH DELAY

被引：12

作者：

Li, Qiang ^{[1
]}

Wei, Mei ^{[1
]}

机构：

[1] Shanxi Normal Univ, Dept Math, Linfen 041000, Shanxi, Peoples R China

来源：

EVOLUTION EQUATIONS AND CONTROL THEORY | 2020年 / 9卷 / 03期

关键词：

Neutral evolution equation; periodic mild solutions; compact analytic semigroup; existence and uniqueness; asymptotic stability; FUNCTIONAL-DIFFERENTIAL EQUATIONS; INTEGRODIFFERENTIAL EQUATIONS; ALPHA-NORM;

D O I：

10.3934/eect.2020032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are devoted to consider the periodic problem for the neutral evolution equation with delay in Banach space. By using operator semigroups theory and fixed point theorem, we establish some new existence theorems of periodic mild solutions for the equation. In addition, with the aid of a new integral inequality with delay, we present essential conditions on the nonlinear function to guarantee that the equation has an asymptotically stable periodic mild solution.

引用

页码：753 / 772

页数：20

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