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

الملخص EN

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.