Advances in Difference Equations
Volume 2009 (2009), Article ID 829735, 21 pages
doi:10.1155/2009/829735
Research Article

Positive Solutions for Boundary Value Problems of Second-Order Functional Dynamic Equations on Time Scales

Ilkay Yaslan Karaca

Department of Mathematics, Ege University, Bornova, 35100 Izmir, Turkey

Received 3 February 2009; Accepted 26 February 2009

Academic Editor: Alberto Cabada

Copyright © 2009 Ilkay Yaslan Karaca. 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.

Abstract

Criteria are established for existence of least one or three positive solutions for boundary value problems of second-order functional dynamic equations on time scales. By this purpose, we use a fixed-point index theorem in cones and Leggett-Williams fixed-point theorem.