PERIODIC SOLUTIONS TO NON-AUTONOMOUS EVOLUTION EQUATIONS WITH MULTI-DELAYS

被引：4

作者：

Chen, Pengyu ^{[1
]}

机构：

[1] Northwest Normal Univ, Dept Math, Lanzhou 730070, Gansu, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2021年 / 26卷 / 06期

关键词：

Non-autonomous evolution equation with multi-delays; Periodic solution; Existence and uniqueness; Asymptotic stability; Evolution family; ASYMPTOTIC STABILITY; DIFFERENTIAL-EQUATIONS; CAUCHY-PROBLEMS; EXISTENCE; DISCRETE; SYSTEMS;

D O I：

10.3934/dcdsb.2020211

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we provide some sufficient conditions for the existence, uniqueness and asymptotic stability of time omega-periodic mild solutions for a class of non-autonomous evolution equation with multi-delays. This work not only extend the autonomous evolution equation with multi-delays studied in [37] to non-autonomous cases, but also greatly weaken the condition presented in [37] even for the case a(t) equivalent to a by establishing a general abstract framework to find time omega-periodic mild solutions for non-autonomous evolution equation with multi-delays. Finally, one illustrating example is supplied.

引用

页码：2921 / 2939

页数：19

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