## Abstract and Applied Analysis

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

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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 314382, 9 pages.

Dates
First available in Project Euclid: 27 February 2014

https://projecteuclid.org/euclid.aaa/1393511938

Digital Object Identifier
doi:10.1155/2013/314382

Mathematical Reviews number (MathSciNet)
MR3066625

Zentralblatt MATH identifier
1295.34037

#### Citation

Sang, Yanbin. Some New Existence Results of Positive Solutions to an Even-Order Boundary Value Problem on Time Scales. Abstr. Appl. Anal. 2013 (2013), Article ID 314382, 9 pages. doi:10.1155/2013/314382. https://projecteuclid.org/euclid.aaa/1393511938

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