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Oscillatory property of higher order nonlinear difference equations
Authors:Xiaoliang Zhou  Jurang Yan
Affiliation:

Department of Mathematics, Taiyuan Institute of Electric Power, Taiyuan, Shanxi 030013, P.R. China

Department of Mathematics, Shanxi University, Taiyuan, Shanxi 030006, P.R. China

Abstract:In this paper, we study the oscillatory and asymptotic behaviour of solutions of higher order nonlinear difference equations of the form

We obtain some necessary and sufficient conditions for all bounded solutions of (*) to be oscillatory and for (*) to have a nonoscillatory solution of a special form.

Keywords:Nonlinear higher order difference equation   Oscillation   Schauder's theorem
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