Multiple Solutions for a Fractional Difference Boundary Value Problem via Variational Approach

Zuoshi Xie, Yuanfeng Jin and Chengmin Hou

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: By establishing the corresponding variational framework and using the mountain pass theorem, linking theorem, and Clark theorem in critical point theory, we give the existence of multiple solutions for a fractional difference boundary value problem with parameter. Under some suitable assumptions, we obtain some results which ensure the existence of a well precise interval of parameter for which the problem admits multiple solutions. Some examples are presented to illustrate the main results.

Date: 2012
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https://doi.org/10.1155/2012/143914

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:143914

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