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(t))]=p(t)周期解的存在性,得到了该方程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(t))] = p(t).A sufficient theorem is obtained for the existence of a periodic solution of the equation.
出处
《南通大学学报(自然科学版)》
CAS
2009年第1期66-68,共3页
Journal of Nantong University(Natural Science Edition)
关键词
非线性方程
周期解
存在性
nonlinear equation
periodic solution
existence