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一类二阶微分方程周期解的存在性与唯一性
引用本文:陈应生,陈东晓.一类二阶微分方程周期解的存在性与唯一性[J].莆田高等专科学校学报,2011(5):10-14.
作者姓名:陈应生  陈东晓
作者单位:华侨大学数学科学学院,福建泉州362021
基金项目:国务院侨务办公室科研基金资助项目(09QZR10); 福建省自然科学基金资助项目(Z0511026)
摘    要:研究一类带时滞的二阶微分方程解的存在性与唯一性问题,利用重合度方法与Wrintinger不等式,得出若干新的结果。

关 键 词:微分方程  周期解  重合度  Wrintinger不等式  存在性  唯一性

Existence and Uniqueness of Periodic Solutions for a Kind of Second Order Differential Equation with Deviating Arguments
CHEN Ying-sheng,CHEN Dong-xiao.Existence and Uniqueness of Periodic Solutions for a Kind of Second Order Differential Equation with Deviating Arguments[J].Journal of Putian College,2011(5):10-14.
Authors:CHEN Ying-sheng  CHEN Dong-xiao
Institution:(School of Mathematical Sciences,Huaqiao University,Quanzhou Fujian 362021,China)
Abstract:In this paper,we analyse the problem on the existence and uniqueness of periodic solutions for a kind of second order differential equations with a deviating argument of the form.By means of the coincidence degree theory and Writinger inequalities,a new result is obtained under some conditions.
Keywords:differential equation  periodic solutions  coincidence degree  Writinger inequalities  existence  uniqueness
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