Oscillatory and Asymptotic Behaviour of Fourth Order Nonlinear Difference Equations

作     者：Yan Jurang (Department of Mathematics,Shanxi University,Taiyuan,030006,China)Liu Bin (Department of Mathematics,Hubei Normal University,Huangshi,435002,China) 

作者机构：山西大学数学系 山西 太原 湖北师范大学数学系 湖北 黄石 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：1997年第13卷第1期

页      面：105-115页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Partially Supported by the National Science Foundation of China 

主　　题：Nonlinear difference equation Oscillation Asymptotic behaviour. 

摘      要：This paper considers a class of fourth order nonlinear difference equations Δ2（rnΔ2yn）+ f（n,yn）=0,n∈N（n0）,where f（n,y）may be classified as superlinear,sublinear,strongly super- linear and strongly *** superlinear and sublinear cases,necessary and sufficient conditions are obtained for the difference equation to admit the existence of nonoscillatory solutions with special asymptotic *** strongly superlinear and strongly sublinear cases,sufficient conditions are given for all solutions to be oscillatory.