Journals / Turkish Journal of Mathematics / 2009 / Cilt: 33 - Sayı: 2

The Existence of Triple Positive Solutions of Nonlinear Four-point Boundary Value Problem with p-Laplacian

Pages
131–142
DOI
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Abstract

This paper deals with the multiplicity results of positive solutions of one-dimensional singular p-Laplace equation (jp(u'(t)))'+a(t)f(t,u(t),u'(t))=0, 01. By using the Avery-Peterson fixed point theorem, sufficient conditions for the existence of at least three positive solutions to the boundary value problem mentioned above are obtained.

Özet

This paper deals with the multiplicity results of positive solutions of one-dimensional singular p-Laplace equation (jp(u'(t)))'+a(t)f(t,u(t),u'(t))=0, 01. By using the Avery-Peterson fixed point theorem, sufficient conditions for the existence of at least three positive solutions to the boundary value problem mentioned above are obtained.

Keywords: p-Laplacian; Avery-Peterson fixed-point theorem; positive solution; boundary value problem