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.