Some New Existence Results of Positive Solutions to an Even-Order Boundary Value Problem on Time Scales. (13th June 2013)

• Record Type: Journal Article
• Authors: Sang, Yanbin
• Other Names: Staněk Svatoslav Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2013(2013)
• Publication Date: 2013-06-13
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2013/314382
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We consider a high-order three-point boundary value problem. Firstly, some new existence results of at least one positive solution for a noneigenvalue problem and an eigenvalue problem are established. Our approach is based on the application of three different fixed point theorems, which have extended and improved the famous Guo-Krasnosel'skii fixed point theorem at different aspects. Secondly, some examples are included to illustrate our results.