| 一类带有非线性阻尼项的二阶周期系统的Lagrangian稳定性 |
| |
| 引用本文： | 江舜君,方芳. 一类带有非线性阻尼项的二阶周期系统的Lagrangian稳定性[J]. 东南大学学报, 2012, 0(1): 130-134 |
| |
| 作者姓名： | 江舜君 方芳 |
| |
| 作者单位： | 东南大学数学系;南京工业大学理学院;南京工程学院基础部 |
| |
| 基金项目： | The National Natural Science Foundation of China(No. 11071038);the Natural Science Foundation of Jiangsu Province(No. BK2010420) |
| |
| 摘 要： | 用KAM迭代方法研究了下列二阶微分方程:(φP(x′))′+F(x,x′,f)+ωpφP(x′)+α∣x∣ ′+e(x,t)=0,其中,φP(s)=∣s ∣P-2s,p＞l,α＞0,ω＞0为正常数,f满足-1＜ω＜p +2.当F(x,x ′,t)与e(x,t)的导数满足一定条件时,利用可逆映射的小扭转定理得到拟周期解的...
|
| 关 键 词： | 可逆系统 KAM定理 解的有界性 |
Lagrangian stability of a class of second-order periodic systems with nonlinear damping term |
| |
| Jiang Shunjun,Fang Fang. Lagrangian stability of a class of second-order periodic systems with nonlinear damping term[J]. Journal of Southeast University(English Edition), 2012, 0(1): 130-134 |
| |
| Authors: | Jiang Shunjun Fang Fang |
| |
| Affiliation: | 1Department of Mathematics,Southeast University,Nanjing 211189,China) (2College of Sciences,Nanjing University of Technology,Nanjing 211816,China) (3Department of Basic Course,Nanjing Institute of Technology,Nanjing 211167,China) |
| |
| Abstract: | By the iteration of the KAM,the following second-order differential equation (Φp(x’))’+F(x,x’,t)+ωpΦp(x’)+αxl+e(x,t)=0 is studied,where Φp(s)=sp-2s,p>1,α>0 and ω>0 are positive constants,and l satisfies-1<ω
|
| |
| Keywords: | reversible system KAM theorem boundedness of solutions |
| 本文献已被 CNKI 等数据库收录！ |
|
