Journal of Applied Mathematics and Computing

, Volume 36, Issue 1, pp 61–87

Nonexistence and existence of positive solutions for second order singular three-point boundary value problems with derivative dependent and sign-changing nonlinearities

  • Caisheng Ji
  • Donal O’Regan
  • Baoqiang Yan
  • Ravi P. Agarwal

DOI: 10.1007/s12190-010-0388-5

Cite this article as:
Ji, C., O’Regan, D., Yan, B. et al. J. Appl. Math. Comput. (2011) 36: 61. doi:10.1007/s12190-010-0388-5


This paper discusses the nonexistence and the existence of positive solutions for second order singular three-point boundary value problems when the nonlinear term f(t,x,y) is sign-changing and may be singular at t=0, x=0, y=0.


Singular three-point boundary value problemsSign-changing nonlinearityPositive solutions

Mathematics Subject Classification (2000)


Copyright information

© Korean Society for Computational and Applied Mathematics 2010

Authors and Affiliations

  • Caisheng Ji
    • 1
  • Donal O’Regan
    • 2
  • Baoqiang Yan
    • 1
  • Ravi P. Agarwal
    • 3
    • 4
  1. 1.Department of MathematicsShandong Normal UniversityJinanP.R. China
  2. 2.Department of MathematicsNational University of IrelandGalwayIreland
  3. 3.Department of Mathematical ScienceFlorida Institute of TechnologyMelbourneUSA
  4. 4.Mathematics and Statistics DepartmentKing Fahd University of Petroleum and MineralsDhahranSaudi Arabia