Existence of positive solutions of a Sturm-Liouville BVP on an unbounded time scale

A fixed point theorem of Guo-Krasnoselskii type is used to establish existence results for the nonlinear Sturm-Liouville dynamic equation with the boundary conditions on an unbounded time scale. Later on the positivity and the boundedness of the solutions are obtained by imposing some conditions on...

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Bibliographic Details
Published in:Journal of difference equations and applications 2008-03, Vol.14 (3), p.287-293
Main Authors: Topal, S. Gulsan, Yantir, Ahmet, Cetin, Erbil
Format: Article
Language:English
Subjects:
Fixed point theorem
Infinite interval
Positive solutions
Sturm-Liouville BVP
Time scales
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Summary:A fixed point theorem of Guo-Krasnoselskii type is used to establish existence results for the nonlinear Sturm-Liouville dynamic equation with the boundary conditions on an unbounded time scale. Later on the positivity and the boundedness of the solutions are obtained by imposing some conditions on f.
ISSN:1023-6198
1563-5120
DOI:10.1080/10236190701596508