J4 ›› 2010, Vol. 07 ›› Issue (4): 533-538.

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Existence of Positive Solutions for Integral Boundary Value Problems of Second Order Differential Equations

XIAO Yu, LIU Xiping, CHEN Jianming   

  1. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China
  • Received:2009-11-03 Online:2010-07-26 Published:2011-06-14
  • Contact: XIAO Yu E-mail:xiaoyu706940@163.com

Abstract:

We studied the existence of multiple positive solutions for the nonlocal boundary value problems of a type of nonlinear second order differential equations with integral boundary conditions. By means of fixedpoint theorem in double cones, the existence of, at least, two positive solutions to the boundary value problem is obtained under the condition of nonlinear term to be allowed to change sign.

Key words: integral boundary value problem, a fixedpoint theorem in double cones; positive solutions; existence

CLC Number: 

  • O175.8