Electron. J. Diff. Eqns.,
Vol. 2004(2004), No. 68, pp. 112.
Positive solutions for the
Laplacian when
is a sup  multiplicative  like function
George L. Karakostas
Abstract:
We provide sufficient conditions for the existence of positive
solutions of a boundaryvalue problem for a one dimensional
Laplacian
ordinary differential equation with deviating
arguments, where
is a supmultiplicativelike 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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