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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 647235, 14 pages
doi:10.1155/2012/647235
Upper and Lower Solution Method for Fourth-Order Four-Point Boundary Value Problem on Time Scales
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.