Higher order boundary value problems on time scales
Articles > Article · 2007
Authors: Erbil ÇETİN, Fatma Serap TOPAL
Journal of Mathematical Analysis and Applications, Journal Indexed in SCI Expanded, International, WoS, 2007, vol 334, pp 876-888
DOI: 10.1016/j.jmaa.2006.08.078
Summary
In this paper we study the existence of solutions for Lidstone boundary value problems on time scale. Firstly, by using Schauder fixed point theorem in a cone, we obtain the existence of solutions to a Lidstone boundary value problem (LBVP). Secondly, existence result for this problem is also given by the monotone method. Finally, by using Krasnosel'skii fixed point theorem, it is proved that the LBVP has a positive solution. (c) 2006 Elsevier Inc. All rights reserved.