Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 68, pp. 1-12.

Title: Positive solutions for the  $\Phi$-Laplacian when
       $\Phi$ is a sup - multiplicative - like function

Author: George L. Karakostas (Univ. of Ioannina, Greece)

Abstract:
  We provide sufficient conditions for the existence of positive
  solutions  of a boundary-value problem for a one dimensional
  $\Phi$-Laplacian ordinary differential equation with deviating
  arguments, where $\Phi$ is a sup-multiplicative-like function
  (in a sense introduced here) and the boundary conditions include
  nonlinear expressions at the end points. For this end, we use
  the Krasnoselskii fixed point theorem in a cone. The results
  obtained improve and generalize known results in [17] and
  elsewhere.
  
Submitted February 5, 2004. Published May 4, 2004.
Math Subject Classifications: 34B15, 34B18.
Key Words: Boundary value problems; positive solutions; 
           Krasnoselskii's fixed point theorem.