Acta mathematica scientia,Series A ›› 2003, Vol. 23 ›› Issue (5): 583-588.

• Articles • Previous Articles     Next Articles

Positive Solutions of a Singular Nonlinear Three point Boundary Value Problem

 MA Yu-Hong, MA Ru-Yun   

  1. 西北师范大学学报编辑部 兰州 730070
     
    西北师范大学数学与信息科学学院 兰州 730070
  • Online:2003-10-25 Published:2003-10-25
  • Supported by:

    国家自然科学基金资助项目(19801028)

Abstract:

By simple application of the fixed point theorem in cones,an existence theorem  of  positive solutions is established to a singular nonlinear threepoint boundary  value problem(u″(t)+a(t)f(u)=0,0<t<1,αu(0)-βu′(0)=0,u(1)-ku(η)=0.)Where η∈(0,1) is a constant,a∈C((0,1),[0,+∞ )),f∈C([0,+∞),[0,+∞)).

Key words: Singular nonlinear three point boundary value problem, Completely continuous op erator, Fixed point, Existence of positive solutions.

CLC Number: 

  • 34B10
Trendmd