Bounded Oscillation for Second-order Nonlinear Difference Equation with Variable Delay  

具有可变时滞的二阶非线性差分方程的有界振动性(英文)

作　　者：杨甲山 孙文兵 

机构地区：[1]Department of Science and Information, Shaoyang University

出　　处：《Chinese Quarterly Journal of Mathematics》2011年第4期516-520,共5页数学季刊（英文版）

基　　金：Supported by the Scientific Research Fund of Education Department of Hunan Province(07C680)

摘　　要：In this paper, a class of second order nonlinear neutral difference equations with variable delays are studied. The criteria for existence of bounded eventually positive solution is obtained by using Banach contraction mapping principle and some necessary techniques. Moreover, some sufficient conditions for oscillation of the equations are given. Some results available in documents are extended in this paper. Illustrative examples are given.

关 键 词：neutral difference equation NONLINEAR eventually positive solution OSCILLATION 

分 类 号：O175.7[理学—数学]