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Multiple Solutions for a Fractional Difference Boundary Value Problem via Variational Approach
Joint Authors
Jin, Yuanfeng
Xie, Zuoshi
Hou, Chengmin
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-17
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Xie, Zuoshi& Jin, Yuanfeng& Hou, Chengmin. 2012. Multiple Solutions for a Fractional Difference Boundary Value Problem via Variational Approach. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-449254
Modern Language Association (MLA)
Xie, Zuoshi…[et al.]. Multiple Solutions for a Fractional Difference Boundary Value Problem via Variational Approach. Abstract and Applied Analysis No. 2012 (2012), pp.1-16.
https://search.emarefa.net/detail/BIM-449254
American Medical Association (AMA)
Xie, Zuoshi& Jin, Yuanfeng& Hou, Chengmin. Multiple Solutions for a Fractional Difference Boundary Value Problem via Variational Approach. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-449254
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-449254