| 具有正负周期系数的差分方程的振动性与线性化振动性 |
| |
| 引用本文： | 李雪梅,黄立宏.具有正负周期系数的差分方程的振动性与线性化振动性[J].应用数学,2001,14(4):26-30. |
| |
| 作者姓名： | 李雪梅 黄立宏 |
| |
| 作者单位： | 湖南大学数学与计量经济学院, |
| |
| 基金项目： | The NNSF of China(1 0 0 71 0 1 6) |
| |
| 摘 要： | 本文得到具有正负周期系数的差分方程振动的一个充分必要条件，并利用此充要条件获得了一个线性化振动性结果。
|
| 关 键 词： | 正负周期系数 振动性 差分方程 线性化振动性 充要条件 |
Oscil I ations and Linearized Oscil I ations for Difference Equations with Positive and Negative Periodic Coefficients |
| |
| LI Xue-mei,HUANG Li-hong.Oscil I ations and Linearized Oscil I ations for Difference Equations with Positive and Negative Periodic Coefficients[J].Mathematica Applicata,2001,14(4):26-30. |
| |
| Authors: | LI Xue-mei HUANG Li-hong |
| |
| Abstract: | It is proved that in certain conditions, oscillation of difference equation with positive and negative periodic coefficients and existence of positive roots of its characteristic equation are equivalent. This result is also applied to obtain a linearized oscillation result. |
| |
| Keywords: | Oscillations Linearized oscillations Difference equations |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
