Multiple solutions for a fractional difference boundary value problem via variational approach (Q1938120)
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scientific article; zbMATH DE number 6134022
| Language | Label | Description | Also known as |
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| English | Multiple solutions for a fractional difference boundary value problem via variational approach |
scientific article; zbMATH DE number 6134022 |
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Multiple solutions for a fractional difference boundary value problem via variational approach (English)
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4 February 2013
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Summary: 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.
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mountain pass theorem
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linking theorem
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Clark theorem
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critical point theory
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multiple solutions
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fractional difference boundary value problem
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