| 具连续变量的变系数偶数阶差分方程的有界振动 |
| |
| 引用本文： | 黄梅.具连续变量的变系数偶数阶差分方程的有界振动[J].应用泛函分析学报,2014(1):54-58. |
| |
| 作者姓名： | 黄梅 |
| |
| 作者单位： | 湖南第一师范学院数学系,长沙410002 |
| |
| 基金项目： | 湖南省教育厅资助科研课题（10C0524） |
| |
| 摘 要： | 研究时滞差分方程解的性质在理论和应用中是非常重要的.本文借助研究离散变量的差分方程振动性的一般方法,研究了一类具有连续变量的变系数偶数阶中立型差分方程的有界解的振动性,给出了有界解振动的几个充分条件.
|
| 关 键 词： | 差分方程 有界解 振动 最终正解 |
Bounded Oscillation for a Class of Even Order Difference Equations with Variable Coefficients and Continuous Arguments |
| |
| HUANG Mei.Bounded Oscillation for a Class of Even Order Difference Equations with Variable Coefficients and Continuous Arguments[J].Acta Analysis Functionalis Applicata,2014(1):54-58. |
| |
| Authors: | HUANG Mei |
| |
| Institution: | HUANG Mei (Department of Mathematics, Hunan First Normal College, Changsha 410002, China) |
| |
| Abstract: | To study the properties of solutions of delay difference equations is very important both in theory and in application. In this paper, we investigated bounded oscillation for a class of even order neutral difference equations with continuous arguments and changed coefficients by technique of discrete arguments. Some sufficient conditions for bounded oscillatio~ of the solutions are obtained. |
| |
| Keywords: | difference equation bounded solution oscillation eventually positive solution |
| 本文献已被 CNKI 维普 等数据库收录！ |
