| 振动性的显式充要条件 |
| |
| 引用本文： | 徐道义. 振动性的显式充要条件[J]. 四川师范大学学报(自然科学版), 1994, 17(6): 26-29 |
| |
| 作者姓名： | 徐道义 |
| |
| 作者单位： | 四川师范大学数学系 |
| |
| 摘 要： | 本文给出了线性自治微分方程与差分方程所有解振动的显式充要条件。这个条件类似于判定稳定性的Ｒｏｕｔｈ－Ｈｕｒｗｉｔｚ判据。从而回答了Ｌａｄａｓ在１９９０年提出的一个公开问题。
|
| 关 键 词： | 振动性 常微分方程 显式充要条件 |
EXPLICIT NECESSARY AND SUFFICIENT CONDITIONS FOR OSCILLATION |
| |
| Xu Daoyi. EXPLICIT NECESSARY AND SUFFICIENT CONDITIONS FOR OSCILLATION[J]. Journal of Sichuan Normal University(Natural Science), 1994, 17(6): 26-29 |
| |
| Authors: | Xu Daoyi |
| |
| Abstract: | The explicit necessary and sufficient conditions are given for oscillation of linear autonomous ordinary differential equations (ODE) and difference equations,respectively.These conditions are similar to the Routh-Hurwitz's scheme for checking stability of linear autonomous ODE so that it solves Ladas' open problem in 1990. |
| |
| Keywords: | Oscillation ordinary differential equation difference equation |
| 本文献已被 CNKI 维普 等数据库收录！ |
