Periodic solution to nonlinear differential equation at resonance

被引：0

作者：

Weiguo, Li ^{[1
]}

机构：

[1] China Univ Petr, Sch Math & Computat Sci, Dongying 257061, Shandong, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 203卷 / 02期

关键词：

nonlinear Sturm-Liouville problem; resonance; unique existence; periodic solution; max-min principle; non-variational version;

D O I：

10.1016/j.amc.2008.05.073

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a class of nonlinear Sturm-Liouville problems at resonance is discussed. An extended form of a non-variational version of a max-min principle is applied to show that the equation possesses unique 2 pi-periodic solution under a less restrictive condition. This result extends what we have already known. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：698 / 702

页数：5

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