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

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  • Yanbin Sang

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.

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  • Yanbin Sang, 2013. "Some New Existence Results of Positive Solutions to an Even-Order Boundary Value Problem on Time Scales," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-9, June.
    • Handle: RePEc:hin:jnlaaa:314382
    DOI: 10.1155/2013/314382
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