Positive solutions of nonlinear second-order periodic boundary value problems

被引：29

作者：

Yao, Qingliu ^{[1
]}

机构：

[1] Nanjing Univ Finance & Econ, Dept Appl Math, Nanjing 210003, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2007年 / 20卷 / 05期

关键词：

nonlinear ordinary differential equation; periodic boundary value problem; positive solution; existence; multiplicity;

D O I：

10.1016/j.aml.2006.08.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the nonlinear second-order periodic boundary value problem u"(t) = f(t, u (t)), a.e. t is an element of [0, 2 pi]; u(0) = u(2 pi), u'(0) = u'(2 pi), where the nonlinear term f is a Caratheodory function. By introducing two height functions concerned with f and considering the integrals of height functions on some bounded sets, we prove the existence and multiplicity of positive solutions for the problem. (C) 2006 Elsevier Ltd. All rights reserved.

引用

页码：583 / 590

页数：8

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