| 三阶非线性微分方程的周期解 |
| |
| 引用本文： | 丛树昆,丛福仲.三阶非线性微分方程的周期解[J].东北师大学报(自然科学版),1997(1):7-9. |
| |
| 作者姓名： | 丛树昆 丛福仲 |
| |
| 作者单位： | ８６００３部队数学室 |
| |
| 摘 要： | 通过把三阶微分方程化成等价的低价微分方程组，给出一类三阶微分方程周期解的存在定理。其中用到二阶线性微分方程的限制共振条件和Ｓｃｈａｕｄｅｒ不动点定理，这一结果简化了Ｎ．Ｎ．Ｇｅｏｒｇｅｅｖ关于同类方程周期解存在定理的条件。
|
| 关 键 词： | 微分方程 周期解 不动点定理 非线性 |
Periodic Solutions of a Third Order Differential Equations |
| |
| Cong Shukun,Cong Fuzhong.Periodic Solutions of a Third Order Differential Equations[J].Journal of Northeast Normal University (Natural Science Edition),1997(1):7-9. |
| |
| Authors: | Cong Shukun Cong Fuzhong |
| |
| Abstract: | This paper gives an existence theorem of periodic solutions for a third order differential equations,using teoknique to reduce the third order equations into two lower order equations.The nonresonance conditions for second order linear differential equations and Schauder fixed point theorem were used.This result weakened N.N. Georgeev's conditions of the existence theorem of periodic sdutions for the same equations. |
| |
| Keywords: | third order differential equation periodic solution schauder fixed theorem |
| 本文献已被 CNKI 维普 等数据库收录！ |
