一类周期系数的微分方程的周期解

数学季刊 ›› 1997, Vol. 12 ›› Issue (1): 43-46.

一类周期系数的微分方程的周期解

Dept. of Math.,Northern Jiaotong Univ.,Beijing,100044; Auto.Institute,Southeast Univ.,Nanjing,210018

收稿日期:1995-06-23 出版日期:1997-03-30 发布日期:2024-12-11
基金资助:
The project is supported by National Natural Science Foundation of China.

On Periodic Solutions of a Class of Differential Equation with Periodic Coefficients

Dept. of Math.,Northern Jiaotong Univ.,Beijing,100044; Auto.Institute,Southeast Univ.,Nanjing,210018

Received:1995-06-23 Online:1997-03-30 Published:2024-12-11
Supported by:
The project is supported by National Natural Science Foundation of China.

摘要/Abstract

摘要： In the present paper we are concerned with the following differential equation with pcriodic coefficients y' = f(t,y) = A(t)y" + B(t)y + C(t) (m>=2,m ∈N) (1)and obtain the theorems for the existence and the number of equation (1). Our results extend and improve the corresponding ones in [1,4].

关键词: differential , equation;periodic , solution;fixed , point;existence

Abstract: In the present paper we are concerned with the following differential equation with pcriodic coefficients y' = f(t,y) = A(t)y" + B(t)y + C(t) (m>=2,m ∈N) (1)and obtain the theorems for the existence and the number of equation (1). Our results extend and improve the corresponding ones in [1,4].

Key words: differential , equation;periodic , solution;fixed , point;existence

中图分类号:

O175

冯兆生, 费树岷. 一类周期系数的微分方程的周期解[J]. 数学季刊, 1997, 12(1): 43-46.

Feng Zhaosheng, Fei Shumin. On Periodic Solutions of a Class of Differential Equation with Periodic Coefficients[J]. Chinese Quarterly Journal of Mathematics, 1997, 12(1): 43-46.

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