Multiple Solutions for a Fractional Difference Boundary Value Problem via Variational Approach. (17th December 2012)

• Record Type: Journal Article
• Authors: Xie, Zuoshi; Jin, Yuanfeng; Hou, Chengmin
• Other Names: Liu Lishan Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2012(2012)
• Publication Date: 2012-12-17
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2012/143914
• Languages: English
• ISSNs: 1085-3375

Abstract

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.