On the existence of positive solutions for three-point boundary value problems with alternating coefficients

  • Authors:
  • Ilkay Yaslan Karaca

  • Affiliations:
  • Department of Mathematics, Ege University, 35100 Bornova, Izmir, Turkey

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 2008

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Abstract

In this paper, by using the Krasnosel'skii fixed point theorem, we study the existence of at least one or two positive solutions of the three point boundary value problem, {y^''(x)+h(x)f(y(x))=0,x@?[a,b]@ay(a)-@by^'(a)=0,y(b)-@dy(@h)=0, where @a=0,@b=0,@a+@b0,0