Higher order boundary value problems on time scales

Makaleler > Tam Makale · 2007

Yazarlar: Erbil ÇETİN, Fatma Serap TOPAL

Journal of Mathematical Analysis and Applications, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2007, cilt 334, ss 876-888

DOI: 10.1016/j.jmaa.2006.08.078

Özet

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.

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