Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 103, pp. 1-13.

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

Authors: Smail Djebali (Ecole Normale Superieure, Kouba, Algeria)
         Karima Mebarki (U.M.B.B., Boumerdes, Algeria)

Abstract:
 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.
 
Submitted May 14, 2009. Published August 27, 2009.
Math Subject Classifications: 34B10, 34B15, 34B16, 34B18, 34B40.
Key Words: phi-Laplacian; three point BVPs; positive solutions;
           singularity; fixed point in a cone.