| 关于非线性微分方程的非振动解及其渐近性 |
| |
| 引用本文： | 冯兆生,费树岷.关于非线性微分方程的非振动解及其渐近性[J].数学物理学报(A辑),1997(Z1). |
| |
| 作者姓名： | 冯兆生 费树岷 |
| |
| 作者单位： | 北京交通大学应用数学系，北京，100044，东南大学自动化所!南京，210018 |
| |
| 摘 要： | 该文主要利用Brouwer不动点定理和解的交差比率法，研究下列非线性微分方程（其中，Ai（t）（i=0，1，2，...，m）均是以ω为周期的连续函数，ω＞0）．解的振动性及其渐近性，得到了几个关于方程（1）的非振动解与其ω周期解之间的渐近关系的定理．
|
| 关 键 词： | 微分方程 振动解 周期解 渐近性 不动点 |
On Non-Oscillation and Asymptotic Behavior of the Solutions of a Class of Nonlinear Equation With Periodic Coefficients |
| |
| Feng Zhaosheng.On Non-Oscillation and Asymptotic Behavior of the Solutions of a Class of Nonlinear Equation With Periodic Coefficients[J].Acta Mathematica Scientia,1997(Z1). |
| |
| Authors: | Feng Zhaosheng |
| |
| Institution: | Feng Zhaosheng (Dept of Math. Northern Jiaotong Univ. Beijing 100044).Fei Shumin (Auto. Institute. Southeast Univ. Nanjing 210018) |
| |
| Abstract: | In the paper, it is investigated the following nonlinear differential equation.with Deriodic coefficients Obtained a few theorens for non-oscillation and by the method of cross-ratio of solutions and the Brouwer fined point theorem and asymptotic of the solutions of equation (1) |
| |
| Keywords: | differential equation oscillation periodic solution asymptotic property fixed Point |
| 本文献已被 CNKI 等数据库收录！ |
