George L. Karakostas
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  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
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