Periodic solutions of second-order difference problem with potential indefinite in sign (Q370006)
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scientific article; zbMATH DE number 6209330
| Language | Label | Description | Also known as |
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| English | Periodic solutions of second-order difference problem with potential indefinite in sign |
scientific article; zbMATH DE number 6209330 |
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Periodic solutions of second-order difference problem with potential indefinite in sign (English)
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19 September 2013
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Summary: We investigate the periodic solutions of a second-order difference problem with potential indefinite in sign. We consider the compactness condition of a variational functional and local linking at 0 by introducing a new number \(\lambda_\ast\). By using Morse theory, we obtain some new results concerning the existence of a nontrivial periodic solution.
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periodic solution
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second-order difference problem
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potential indefinite in sign
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variational functional
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Morse theory
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