Monotone Iterative Technique for S-Asymptotically Periodic Problem of Evolution Equation with Delay

被引：0

作者：

Li, Qiang ^{[1
,2
]}

Qiao, Hong ^{[1
]}

机构：

[1] Shanxi Normal Univ, Dept Math, Taiyuan 030000, Peoples R China

[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL STUDY | 2022年 / 55卷 / 04期

基金：

中国博士后科学基金;

关键词：

Evolution equation; delay; S-asymptotically periodic mild solutions; monotone iterative technique; positive C-0-semigroup; FUNCTIONAL-DIFFERENTIAL EQUATIONS; EXISTENCE;

D O I：

10.4208/jms.v55n4.22.03

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with S-asymptotically periodic problem of evolution equation with delay in ordered Banach space. Under some weaker assumptions, we construct monotone iterative method in the presence of the lower and upper solutions to the delayed evolution equation, and obtain the existence of maximal and minimal S-asymptotically periodic mild solutions. Finally, we give an example to exhibit the practicability of our abstract results.

引用

页码：381 / 397

页数：17

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