高阶拟线性变时滞差分方程解的振动性和渐近性  

Oscillatory and Asymptotic Properties of Higher Order Quasi-linear Difference Equations with Variable Delay

作　　者：周效良[1] 刘昌东[1] 

机构地区：[1]广东海洋大学数学系

出　　处：《数学的实践与认识》2007年第12期179-183,共5页Mathematics in Practice and Theory

基　　金：广东海洋大学科研基金资助项目(0512147)

摘　　要：对一类高阶拟线性变时滞差分方程进行了研究,给出了解振动或者单调趋近了0的一些充分性结论,同时给出例子验证其有效性.所得结果推广了已有结果.Oscillatory and asymptotic properties of higher order quasi-linear difference equations with variable delay are studied, Some sufficient conditions for the solutions to be oscillatory or tend to zero are given. An example is presented to illustrate the effects of our theorems. Results obtained here extend some known results.

关 键 词：振动性 渐近性 高阶差分方程 拟线性 

分 类 号：O175.7[理学—数学]