The oscillation of higher-ordernonlinear difference equations期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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The oscillation of higher-ordernonlinear difference equations

Authors:	Wei Wu Binggen Zhang

Institution:	^aDepartment of MathematicsOcean University of China Qingdao, 266071, P.R. China ^bDepartment of Management Qingdao Ocean Shipping Mariners' College Qingdao, 266071, P.R. China Department of MathematicsOcean University of China Qingdao, 266071, P.R. China

Abstract:	The authors discuss the relation of the oscillation of the following two difference equations, where m ≥ 2, τ : N → N, N isthe set of integers, \|n − τ(n)\| ≤ Mfor n N₀, M is a positive integer, is nondecreasing in x, xf(n, x)> 0, as x ≠ 0. Wewill show some relations of the oscillation of the above two equations. Especially, for m to be even, we establish the equivalenceof the oscillation of the above two difference equations.

Keywords:	Oscillation Difference equations Nonlinear
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