J4 ›› 2011, Vol. 49 ›› Issue (04): 664-668.

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Existence of Positive Solutions for Singular MultipointBoundary Value Problems with Two Parameters

ZHANG Lijuan1, YAN Li2   

  1. 1. Department of Mathematics, Baicheng Normal College, Baicheng 137000, Jilin Province, China;2. College of Information and Technology, Jilin Agricultural University, Changchun 130118, China
  • Received:2010-12-06 Online:2011-07-26 Published:2011-08-16
  • Contact: ZHANG Lijuan E-mail:lijuanzhang4221@126.com

Abstract:

We studied  singular multi\|point  boundary value problems with two parameters. The existence of the solution was obtained
with the help of a nonlinear alternative of LeraySchauder and the Krasnoselskii fixed point theorem in cones. It was proved that such a problem has positive solutions under our reasonable conditions.

Key words: boundary value problems, positive solution, fixed point theorem in cones

CLC Number: 

  • O175.8