Solvability of a Higher-Order Three-Point Boundary Value Problem on Time Scales. (30th November 2009)

• Record Type: Journal Article
• Authors: Sang, Yanbin
• Other Names: Atici Ferhan Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2009(2009)
• Publication Date: 2009-11-30
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2009/341679
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We consider a higher-order three-point boundary value problem on time scales. A new existence result is first obtained by using a fixed point theorem due to Krasnoselskii and Zabreiko. Later, under certain growth conditions imposed on the nonlinearity, several sufficient conditions for the existence of a nonnegative and nontrivial solution are obtained by using Leray-Schauder nonlinear alternative. Our conditions imposed on nonlinearity are all very easy to verify; as an application, some examples to demonstrate our results are given.