Existence of solutions for second-order three-point integral boundary value problems at resonance

被引:0
作者
Hongliang Liu
Zigen Ouyang
机构
[1] University of South China,School of Nuclear Science and Technology, School of Mathematics and Physics
来源
Boundary Value Problems | / 2013卷
关键词
integral boundary value problem; resonance; fixed point theorem; intermediate value theorem;
D O I
暂无
中图分类号
学科分类号
摘要
A class of second-order three-point integral boundary value problems at resonance is investigated in this paper. Using intermediate value theorems, we obtain a sufficient condition for the existence of the solution for the equation. An example is given to demonstrate our main results.
引用
收藏
相关论文
共 20 条
  • [1] Anderson D(1998)Multiple positive solutions for a three-point boundary value problem Math. Comput. Model 27 49-57
  • [2] Webb JRL(2006)Eigenvalue criteria for existence of multiple positive solutions of nonlinear boundary value problems of local and nonlocal type Topol. Methods Nonlinear Anal 27 91-115
  • [3] Lan KQ(2003)Three positive solutions of a nonlinear three-point boundary value problem J. Math. Anal. Appl 288 708-716
  • [4] Sun JP(2010)Solvability of second-order nonlinear three-point boundary value problems Nonlinear Anal 73 2343-2352
  • [5] Li WT(2001)Positive solutions for second-order three-point boundary value problems Appl. Math. Lett 14 1-5
  • [6] Zhao YH(2007)Positive solutions of a nonlinear three-point boundary value problem at resonance J. Math. Anal. Appl 336 556-568
  • [7] Kwong MK(2007)Optimal existence criteria for symmetric positive solutions to a three-point boundary value problem Nonlinear Anal 66 1051-1063
  • [8] Wong JSW(2003)Solvability of multi-point boundary value problems at resonance - part IV Appl. Math. Comput 143 275-299
  • [9] Ma R(2001)Solvability of a multi-point boundary value problem at resonance J. Math. Anal. Appl 264 253-261
  • [10] Han XL(2008)Multi-point boundary value problems on an unbounded domain at resonance Nonlinear Anal 68 2158-2171