Abstract and Applied Analysis
Volume 2012 (2012), Article ID 647235, 14 pages
http://dx.doi.org/10.1155/2012/647235
Research Article

Upper and Lower Solution Method for Fourth-Order Four-Point Boundary Value Problem on Time Scales

Ilkay Yaslan Karaca

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

Received 17 August 2011; Revised 20 October 2011; Accepted 3 November 2011

Academic Editor: Khalida Inayat Noor

Copyright © 2012 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

We consider a fourth-order four-point boundary value problem for dynamic equations on time scales. By the upper and lower solution method, some results on the existence of solutions of the fourth-order four-point boundary value problem on time scales are obtained. An example is also included to illustrate our results.