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Periodic Solutions of Second‐Order Difference Problem with Potential Indefinite in Sign

Honghua Bin

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We investigate the periodic solutions of second‐order difference problem with potential indefinite in sign. We consider the compactness condition of variational functional and local linking at 0 by introducing new number λ∗. By using Morse theory, we obtain some new results concerning the existence of nontrivial periodic solution.

Date: 2013
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https://doi.org/10.1155/2013/517036

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