期刊论文详细信息
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 卷:222
The existence of countably many positive solutions for nonlinear singular m-point boundary value problems on the half-line
Article
Liang, Sihua1,2  Zhang, Jihui1 
[1] Nanjing Normal Univ, Sch Math & Comp Sci, Inst Math, Nanjing 210097, Jiangsu, Peoples R China
[2] Changchun Normal Univ, Coll Math, Changchun 130032, Peoples R China
关键词: Sigularity;    Multiple positive solutions;    Boundary value problems;    Fixed-point theorem;    Half-line;    Cone;   
DOI  :  10.1016/j.cam.2007.10.062
来源: Elsevier
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【 摘 要 】

In this paper, by introducing a new operator, improving and generating a p-Laplace operator for some p > 1, we study the existence of countably many positive solutions for nonlinear boundary value problems on the half-line (phi(u '))' + a(t) f (u(t)) = 0, 0 < t < +infinity. u(0) = Sigma(m-2)(i=1) alpha(i)u(xi(i)). u '(infinity) = 0. where phi : R -> R is the increasing hemeomorphism and positive homomorphism and phi(0) = 0. We show the sufficient conditons for the existence of countably many positive solutions by using the fixed-point index theory and a new fixed-point theorem in cones. (c) 2008 Published by Elsevier B.V.

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