The existence of positive solutions for some nonlinear boundary value problems with linear mixed boundary conditions

被引:38
作者
Liu, BF [1 ]
Zhang, JH [1 ]
机构
[1] Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing 210097, Peoples R China
关键词
boundary value problems; positive solutions; fixed point index theorem; cone;
D O I
10.1016/j.jmaa.2004.09.036
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we study the existence of positive solutions of the equation (phi(x'))' + a(t)f(x(t))=0, where phi: R -> R is an increasing homeomorphism and homomorphism and phi(0)=0, subject to linear mixed boundary conditions by a simple application of a fixed point index theorem in cones. (C) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码:505 / 516
页数:12
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