| Existence of Solutions for Discrete Fractional Boundary Value Problems with p-Laplacian Operator |
| Received:January 16, 2013 Revised:June 04, 2013 |
| Key Words:
fractional difference boundary value problem variational framework critical point theory.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11161049). |
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| Abstract: |
| By establishing the corresponding variational framework, and using the critical points theorem, we give the existence of multiple solutions for a fractional difference boundary value problem with $p$-Laplacian operator. Under some suitable assumptions we obtain the existence of a positive parameter such that the problem admits at least three solutions. Some examples are presented to illustrate the main results. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2014.02.009 |
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