Some New Existence Results of Positive Solutions to an Even-Order Boundary Value Problem on Time Scales

Yanbin Sang

Abstract and Applied Analysis, 2013, vol. 2013, 1-9

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:314382

DOI: 10.1155/2013/314382

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