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Asymptotic behavior of a nonlinear delay difference equation

Authors:	J YanB Liu

Institution:	Department of Mathematics, Shanxi University, Taiyuan, Shanxi 030006, P.R. China Department of Mathematics, Hubei Normal University, Huangshi, Hubei 435002, P.R. China

Abstract:	This paper considers a class of nonlinear difference equations Δ₃y_n + ?(n, y_n, y_n?r) = 0, n N (n₀) . A necessary and sufficient condition for the existence of a bounded nonoscillatory solution is given.

Keywords:	Nonlinear difference equation Bounded solution
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