Nonlinear periodic boundary value problems with sign-changing Green's function

被引：29

作者：

Ma, Ruyun ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 05期

关键词：

Positive periodic solutions; Sign-changing Green's function; Schauder fixed point theorem; Existence; Nonexistence; 2ND-ORDER DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTIONS; EXISTENCE; MULTIPLICITY;

D O I：

10.1016/j.na.2010.10.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence and nonexistence of positive solutions of nonlinear periodic boundary value problems u '' + a(t)u = lambda b(t)f(u), a.e. t is an element of [0, T], u(0) = u(T), u'(0) = u'(T), where b>0, a>0 and the Green's function G(t, s) of the linear problem u '' + a(t)u = 0, a.e. t is an element of [0, T], u(0) = u(T), u'(0) = u'(T) may change sign on [0, T] x [0, T]. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：1714 / 1720

页数：7

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