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

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3 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)61-87
Number of pages27
JournalJournal of Applied Mathematics and Computing
Volume36
Issue number1-2
DOIs
Publication statusPublished - Aug 2011

Keywords

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

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