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一类二阶非线性微分方程周期解的存在性
引用本文:陈新一.一类二阶非线性微分方程周期解的存在性[J].西北民族学院学报,2009,30(1):1-3.
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,甘肃,兰州,730030  
摘    要:利用重合度理论研究一类时滞微分方程ax′′(t)+f(x(t))x′(t)+h(x′(t))x(t)+gx(t?τ)]=p(t)周期解的存在性,从而得到该方程T(T>0)周期解存在的充分性定理.

关 键 词:非线性方程  周期解  存在性

Existence about Periodic Solution for a Class of Second Order Nonlinear Differential Equations
CHEN Xin-yi.Existence about Periodic Solution for a Class of Second Order Nonlinear Differential Equations[J].Journal of Northwest Minorities University(Natural Science ),2009,30(1):1-3.
Authors:CHEN Xin-yi
Institution:CHEN Xin-yi (China Minorities Information Technology Institute of Northwest University for Nationalities, Lanzhou Gansu 730030, China)
Abstract:The theory of coincidence degree is used to study the existence of a periodic solution for the differential equation with delay as follows
ax″(t)+f(x(t))x′(t)+h(x′(t))x(t)+gx(t-τ)]=p(t)
and a sufficient theorem is obtained for the existence of a r periodic solution of the equation.
Keywords:Nonlinear equation  Periodic solution  Existence
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