一类具偏差变元的二阶微分方程周期解

数学季刊 ›› 2008, Vol. 23 ›› Issue (1): 28-35.

一类具偏差变元的二阶微分方程周期解

1. Department of Applied Mathematics,Beijing Institute of Technology 2. Department of Mathematics and Compute,Anhui Normal University

收稿日期:2005-06-03 出版日期:2008-03-30 发布日期:2023-10-12
作者简介:DU Bo(1973-), male, native of Chaohu, Anhui, Ph.D., engages in ordinary differential equations and functional equations.
基金资助:
Supported by the Natural Science Foundation of Anhui Province(050460103); Supported by the Natural Science Foundation by the Bureau of Education of Anhui Province(2005kj031ZD)

Periodic Solutions for a Kind of Second Order Differential Equation with a Deviating Argument

1. Department of Applied Mathematics,Beijing Institute of Technology 2. Department of Mathematics and Compute,Anhui Normal University

Received:2005-06-03 Online:2008-03-30 Published:2023-10-12
About author:DU Bo(1973-), male, native of Chaohu, Anhui, Ph.D., engages in ordinary differential equations and functional equations.
Supported by:
Supported by the Natural Science Foundation of Anhui Province(050460103); Supported by the Natural Science Foundation by the Bureau of Education of Anhui Province(2005kj031ZD)

摘要/Abstract

摘要： By using the theory of coincidence degree, we study a kind of periodic solutions to second order differential equation with a deviating argument such as x″(t)+f(x′(t))+ h(x(t))x′(t)+g(x(t-τ(t)))=p(t), some sufficient conditions on the existence of periodic solutions are obtained.

关键词: deviating argument, periodic solution, theory of coincidence degree

Abstract: By using the theory of coincidence degree, we study a kind of periodic solutions to second order differential equation with a deviating argument such as x″(t)+f(x′(t))+ h(x(t))x′(t)+g(x(t-τ(t)))=p(t), some sufficient conditions on the existence of periodic solutions are obtained.

Key words: deviating argument, periodic solution, theory of coincidence degree

中图分类号:

O175

杜波, 鲁世平. 一类具偏差变元的二阶微分方程周期解[J]. 数学季刊, 2008, 23(1): 28-35.

DU Bo, LU Shi-ping. Periodic Solutions for a Kind of Second Order Differential Equation with a Deviating Argument [J]. Chinese Quarterly Journal of Mathematics, 2008, 23(1): 28-35.

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