高维Lienard型方程的调和解

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On the Existence of Harmonic Solutions for Higher-Order Lienard Systems

1.
Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, P. P. China;
2.
Department of Mathematics, Beijing Institute of Bussiness, Beijing 100037, P. R. China

摘要: 本文运用重合度理论,在阻尼可负的条件下,得到Lienard型系统存在调和解的若干新判据。
- Lienard系统 /
- 调和解 /
- 重合度
Abstract: In this paper,by using of the theory of coincidence degree,we obtain the new conditions which guarantee the existence of harmonic solutions for Liénard Systems Our resuls do not require that the damping must be positive.
- Liénard systems /
- harmonic solutions /
- coincidence degree

[1]	丁伟岳,On the existeme of periodic solutions for the Liénard systems.数学学报,25,5(1982),626-632.
[2]	Ge Weigao,On the existence of harmonic solutions of Lienard systems,Nonlinear Analysis.TMA.16.2(1991).183-190.
[3]	葛渭高.n维Liénard型方程的调和解.数学年刊.11A(3)(1990),297-307.