Existence and multiplicity results for Singular phi-Laplacian BVPs on the positive half-line

This work proves the existence and multiplicity of positive solutions for a second-order nonlinear three-point phi-Laplacian boundary-value problem posed on the positive half-line. The nonlinearity depends on the solution and its derivative and may exhibit a time singularity at the origin. Existence...

Full description

Saved in:
Bibliographic Details
Published in:Electronic journal of differential equations 2009-08, Vol.2009 (103), p.1-13
Main Authors: Smail Djebali, Karima Mebarki
Format: Article
Language:English
Subjects:
fixed point in a cone
phi-Laplacian
positive solutions
singularity
three point BVPs
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This work proves the existence and multiplicity of positive solutions for a second-order nonlinear three-point phi-Laplacian boundary-value problem posed on the positive half-line. The nonlinearity depends on the solution and its derivative and may exhibit a time singularity at the origin. Existence of single and multiple nontrivial positive solutions is proved using fixed point index theory.
ISSN:1072-6691