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)+g[x(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.
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)+g[x(t-τ)]=p(t)
and a sufficient theorem is obtained for the existence of a r periodic solution of the equation.
出处
《西北民族大学学报(自然科学版)》
2009年第1期1-3,9,共4页
Journal of Northwest Minzu University(Natural Science)
关键词
非线性方程
周期解
存在性
Nonlinear equation
Periodic solution
Existence