Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4622589 | Journal of Mathematical Analysis and Applications | 2007 | 13 Pages |
Abstract
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.
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