SUFFICIENT CONDITIONS FOR THE EXISTENCE OF PERIODIC SOLUTIONS OF A AUTONOMOUS DIFFERENTIAL SYSTEM

数学物理学报(英文版) ›› 1995, Vol. 15 ›› Issue (2): 126-135.

SUFFICIENT CONDITIONS FOR THE EXISTENCE OF PERIODIC SOLUTIONS OF A AUTONOMOUS DIFFERENTIAL SYSTEM

黄立宏, 庚建设

Department of Applied Mathematics, Hunan University, Changsha 410082, China

收稿日期:1992-10-17 出版日期:1995-06-25 发布日期:1995-06-25
基金资助:
This research was partially supported by National Natural Science Foundation of China.

SUFFICIENT CONDITIONS FOR THE EXISTENCE OF PERIODIC SOLUTIONS OF A AUTONOMOUS DIFFERENTIAL SYSTEM

Huang Lihong, Yu Jianshe

Department of Applied Mathematics, Hunan University, Changsha 410082, China

Received:1992-10-17 Online:1995-06-25 Published:1995-06-25
Supported by:
This research was partially supported by National Natural Science Foundation of China.

摘要/Abstract

摘要： In this paper, some sufficient conditions on the existence of non-trivial periodic solutions of the system
dx/dt=e(y), dy/dt=-f(x)h(y)-g(x)
are obtained, which not only generalize some known results concerning the Liénard system in this direction, but also relax or eliminate some traditional assumptions.

关键词: autonomous differental system, periodic solution, existence

Abstract: In this paper, some sufficient conditions on the existence of non-trivial periodic solutions of the system
dx/dt=e(y), dy/dt=-f(x)h(y)-g(x)
are obtained, which not only generalize some known results concerning the Liénard system in this direction, but also relax or eliminate some traditional assumptions.

Key words: autonomous differental system, periodic solution, existence

黄立宏, 庚建设. SUFFICIENT CONDITIONS FOR THE EXISTENCE OF PERIODIC SOLUTIONS OF A AUTONOMOUS DIFFERENTIAL SYSTEM[J]. 数学物理学报(英文版), 1995, 15(2): 126-135.

Huang Lihong, Yu Jianshe. SUFFICIENT CONDITIONS FOR THE EXISTENCE OF PERIODIC SOLUTIONS OF A AUTONOMOUS DIFFERENTIAL SYSTEM[J]. Acta mathematica scientia,Series B, 1995, 15(2): 126-135.

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SUFFICIENT CONDITIONS FOR THE EXISTENCE OF PERIODIC SOLUTIONS OF A AUTONOMOUS DIFFERENTIAL SYSTEM

SUFFICIENT CONDITIONS FOR THE EXISTENCE OF PERIODIC SOLUTIONS OF A AUTONOMOUS DIFFERENTIAL SYSTEM

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