Open Access

Existence and nonexistence of positive solutions to a right-focal boundary value problem on time scales

Advances in Difference Equations20062006:043039

DOI: 10.1155/ADE/2006/43039

Received: 10 October 2005

Accepted: 30 January 2006

Published: 25 June 2006

Abstract

We are concerned with proving the existence of one or more than one positive solution of an n-point right-focal boundary value problem for the nonlinear dynamic equation . We will also obtain criteria which lead to nonexistence of positive solutions. Here the independent variable t is in a time scale. We will use fixed point theorems for operators on a Banach space.

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Authors’ Affiliations

(1)
Department of Mathematics, Ege University

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Copyright

© Ilkay Yaslan Karaca. 2006

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.