一类时滞Liénard型方程周期解的存在与唯一性

数学季刊 ›› 2010, Vol. 25 ›› Issue (1): 74-80.

一类时滞Liénard型方程周期解的存在与唯一性

Department of Mathematics, East China Normal University

收稿日期:2007-09-28 出版日期:2010-03-30 发布日期:2023-06-09
作者简介: WANG Na(1978- ), female, native of Wuhu, Anhui, M.S.D., engages in functional differential equation.
基金资助:
Supported by the Anhui Natural Science Foundation(050460103)； Supported by the NSF of Anhui Educational Bureau(KJ2008B247)； Supported by the RSPYT of Anhui Educational Bureau(2008jq1111)；

The Existence and Uniqueness of Periodic Solutions for a Kind of Lienard Equation with a Deviating Argument

Department of Mathematics, East China Normal University

Received:2007-09-28 Online:2010-03-30 Published:2023-06-09
About author: WANG Na(1978- ), female, native of Wuhu, Anhui, M.S.D., engages in functional differential equation.
Supported by:
Supported by the Anhui Natural Science Foundation(050460103)； Supported by the NSF of Anhui Educational Bureau(KJ2008B247)； Supported by the RSPYT of Anhui Educational Bureau(2008jq1111)；

摘要/Abstract

摘要： By means of Mawhin’s continuation theorem, we study a kind of lienard functional differential equations: x"(t)+f(x(t))x’(t)+g(t,x(t-τ(t)))=e(t). Some new results on the existence and uniqueness of periodic solutions are obtained.

关键词: periodic solution, deviating argument, lienard equations, continuation theorem

Abstract: By means of Mawhin’s continuation theorem, we study a kind of lienard functional differential equations: x"(t)+f(x(t))x’(t)+g(t,x(t-τ(t)))=e(t). Some new results on the existence and uniqueness of periodic solutions are obtained.

Key words: periodic solution, deviating argument, lienard equations, continuation theorem

中图分类号:

O175.6

汪娜 . 一类时滞Liénard型方程周期解的存在与唯一性[J]. 数学季刊, 2010, 25(1): 74-80.

WANG Na. The Existence and Uniqueness of Periodic Solutions for a Kind of Lienard Equation with a Deviating Argument [J]. Chinese Quarterly Journal of Mathematics, 2010, 25(1): 74-80.

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