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.
"Multiple Solutions for a Fractional Difference Boundary Value Problem via Variational Approach." Abstr. Appl. Anal. 2012 (SI11) 1 - 16, 2012. https://doi.org/10.1155/2012/143914