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.
"Some New Existence Results of Positive Solutions to an Even-Order Boundary Value Problem on Time Scales." Abstr. Appl. Anal. 2013 1 - 9, 2013. https://doi.org/10.1155/2013/314382