Open Access
2014 Multiple Solutions to Fractional Difference Boundary Value Problems
Huiqin Chen, Yaqiong Cui, Xianglan Zhao
Abstr. Appl. Anal. 2014: 1-6 (2014). DOI: 10.1155/2014/879380


The following fractional difference boundary value problems νyt=-ft+ν-1,yt+ν-1, y(ν-2)=y(ν+b+1)=0 are considered, where 1<ν2 is a real number and νy(t) is the standard Riemann-Liouville fractional difference. Based on the Krasnosel’skiǐ theorem and the Schauder fixed point theorem, we establish some conditions on f which are able to guarantee that this FBVP has at least two positive solutions and one solution, respectively. Our results significantly improve and generalize those in the literature. A number of examples are given to illustrate our main results.


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Huiqin Chen. Yaqiong Cui. Xianglan Zhao. "Multiple Solutions to Fractional Difference Boundary Value Problems." Abstr. Appl. Anal. 2014 1 - 6, 2014.


Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07023243
MathSciNet: MR3206824
Digital Object Identifier: 10.1155/2014/879380

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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