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Periodic solutions of a \(2n\)th-order nonlinear difference equation. (English) Zbl 1232.39019

Summary: A \(2n\)th-order nonlinear difference equation is considered. Using the critical point theory, we establish various sets of sufficient conditions of the nonexistence and existence of periodic solutions. Results obtained complement or improve the existing ones.

MSC:

39A23 Periodic solutions of difference equations
39A10 Additive difference equations
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