Periodic solutions of a 2nth-order nonlinear difference equation
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- Zhou, Z., Yu, J. & Chen, Y. Sci. China Ser. A-Math. (2010) 53: 41. doi:10.1007/s11425-009-0167-7
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In this paper, a 2nth-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.