Dergiler / 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
- Sayfa
- 131–142
- DOI
- —
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.
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.