Multiple Positive Solutions of Nonlinear Boundary Value Problem for Finite Fractional Difference
Autor: | Yansheng He, Mingzhe Sun, Chengmin Hou |
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Jazyk: | angličtina |
Rok vydání: | 2014 |
Předmět: | |
Zdroj: | Abstract and Applied Analysis, Vol 2014 (2014) |
Druh dokumentu: | article |
ISSN: | 1085-3375 1687-0409 |
DOI: | 10.1155/2014/147975 |
Popis: | We consider a discrete fractional nonlinear boundary value problem in which nonlinear term f is involved with the fractional order difference. And we transform the fractional boundary value problem into boundary value problem of integer order difference equation. By using a generalization of Leggett-Williams fixed-point theorem due to Avery and Peterson, we provide sufficient conditions for the existence of at least three positive solutions. |
Databáze: | Directory of Open Access Journals |
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