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Oscillatory property of higher order nonlinear difference equations |
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| 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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