Article

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 JiAffiliated withDepartment of Mathematics, Shandong Normal University
  • , Donal O’ReganAffiliated withDepartment of Mathematics, National University of Ireland
  • , Baoqiang YanAffiliated withDepartment of Mathematics, Shandong Normal University
  • , Ravi P. AgarwalAffiliated withDepartment of Mathematical Science, Florida Institute of TechnologyMathematics and Statistics Department, King Fahd University of Petroleum and Minerals Email author 

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Abstract

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.

Keywords

Singular three-point boundary value problems Sign-changing nonlinearity Positive solutions

Mathematics Subject Classification (2000)

34B10 34B15