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一类二阶时滞泛函微分方程的周期解
引用本文:陈新一. 一类二阶时滞泛函微分方程的周期解[J]. 内蒙古大学学报(自然科学版), 2010, 41(1)
作者姓名:陈新一
作者单位:西北民族大学中国民族信息技术研究院,兰州,730030
摘    要:利用重合度理论研究一类二阶时滞泛函微分方程x″(t)+h(x′(t))+f(x(t))x′(t)+g(x(t-τ(t)))=p(t)周期解问题,得到了周期解存在性的若干新的结果,推广了已有的结果.

关 键 词:时滞泛函微分方程  周期解  重合度  

Periodic Solution for a Kind of Second Order Functional Differential Equations with Delay
CHEN Xin-yi. Periodic Solution for a Kind of Second Order Functional Differential Equations with Delay[J]. Acta Scientiarum Naturalium Universitatis Neimongol, 2010, 41(1)
Authors:CHEN Xin-yi
Affiliation:China Minorities Information Technology Institute/a>;Northwest University for Nationalities/a>;Lanzhou 730030/a>;China
Abstract:By employing the coincidence degree theory,a kind of second order functional differential equations with delay as follows x″(t)+h(x'(t))+f(x(t))x'(t)+g(x(t-τ(t)))=p(t) is studied.Some new results on the existence of periodic solutions are obtained.
Keywords:functional differential equation with delay  periodic solution  coincidence degree  
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