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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.

39A23Periodic solutions (difference equations)
39A10Additive difference equations
Full Text: DOI
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