George L. Karakostas
Abstract:
We provide sufficient conditions for the existence of positive
solutions of a boundary-value problem for a one dimensional
-Laplacian
ordinary differential equation with deviating
arguments, where
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.
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George L. Karakostas Department of Mathematics University of Ioannina, 451 10 Ioannina, Greece email: gkarako@cc.uoi.gr |
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