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

Zuoshi Xie | Zendy; Yuanfeng Jin | Zendy; Chengmin Hou | Zendy

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

Author(s) -

Zuoshi Xie,

Yuanfeng Jin,

Chengmin Hou

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/143914

Subject(s) - mathematics , boundary value problem , fixed point theorem , interval (graph theory) , boundary (topology) , mathematical analysis , mountain pass theorem , value (mathematics) , mountain pass , combinatorics , statistics , physics , nonlinear system , quantum mechanics

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 ofparameter for which the problem admits multiple solutions. Some examples are presented to illustrate the main results

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