具有时滞的高阶Duffing型方程的2π周期解

数学季刊 ›› 2006, Vol. 21 ›› Issue (1): 85-89.

具有时滞的高阶Duffing型方程的2π周期解

College of Mathematics and Information Technology, Hanshan Teachers College, Chaozhou 521041, China

收稿日期:2003-01-12 出版日期:2006-03-30 发布日期:2023-12-21
作者简介:LIN Wen-xian(1966-),male,native of Chaozhou,Guangdong,a professor of Hanshan Teachers Coliege,engages in functional differential equation theory and its application.

2π-periodic Solution for a Kind High Order Delay Duffing Equation

College of Mathematics and Information Technology, Hanshan Teachers College, Chaozhou 521041, China

Received:2003-01-12 Online:2006-03-30 Published:2023-12-21
About author:LIN Wen-xian(1966-),male,native of Chaozhou,Guangdong,a professor of Hanshan Teachers Coliege,engages in functional differential equation theory and its application.

摘要/Abstract

摘要： In this paper, the high order delay Duffing equation ax⁽²ⁿ⁾+bx+g(x(t-τ)) =p(t) are considered,using the theory of coincidence degree, the sufficient condition for its there being at least a 2π-periodic solution is obtained.

关键词: Duffing , equation;periodic , solution;coincidence , degree

Abstract: In this paper, the high order delay Duffing equation ax⁽²ⁿ⁾+bx+g(x(t-τ)) =p(t) are considered,using the theory of coincidence degree, the sufficient condition for its there being at least a 2π-periodic solution is obtained.

Key words: Duffing , equation;periodic , solution;coincidence , degree

中图分类号:

O175.8

林文贤. 具有时滞的高阶Duffing型方程的2π周期解[J]. 数学季刊, 2006, 21(1): 85-89.

LIN Wen-xian. 2π-periodic Solution for a Kind High Order Delay Duffing Equation[J]. Chinese Quarterly Journal of Mathematics, 2006, 21(1): 85-89.

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