EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR PARABOLIC EQUATION WITH NONLOCAL DELAY

被引：9

作者：

Li, Qiang ^{[1
]}

Li, Yongxiang ^{[1
]}

Chen, Pengyu ^{[1
]}

机构：

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

来源：

KODAI MATHEMATICAL JOURNAL | 2016年 / 39卷 / 02期

关键词：

Parabolic equation with nonlocal delay; Time periodic mild solutions; Existence and uniqueness; Semigroup of Operator; Lower and upper solutions; Monotone iterative technique; EVOLUTION-EQUATIONS; WAVE-FRONTS; DIFFERENTIAL-EQUATIONS; ASYMPTOTIC STABILITY; DIFFUSION-EQUATIONS; BOUNDARY-CONDITIONS; POPULATION-MODEL; TRAVELING-WAVES; TIME DELAYS; SYSTEMS;

D O I：

10.2996/kmj/1467830137

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with the existence and uniqueness of time periodic solutions for the general periodic parabolic equation boundary problem with nonlocal delay. We apply operator semigroup theory and monotone iterative technique of lower and upper solutions to obtain the existence and uniqueness of omega-periodic mild solutions of some abstract evolution equation under some quasimonotone conditions. In the end, applying our abstract results to parabolic equation with nonlocal delay, we get the existence and uniqueness of omega-periodic solution, which generalize the recent conclusions on this issue.

引用

页码：276 / 289

页数：14

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