摘要
利用重合度理论研究一类高阶时滞微分方程ax(n)(t)+cx′(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.
By employing the coincidence degree theory, a class of higher order differential equation with delay such as ax^(n)(t)+f(x(t))x'(t)+h(x'(t))x(t)+g[x(t-τ(t))]=p(t) is studied. A sufficient theorem is obtained for the existence of a T periodic solution to the equation.
出处
《贵州师范大学学报(自然科学版)》
CAS
2009年第4期65-67,共3页
Journal of Guizhou Normal University:Natural Sciences
关键词
时滞非线性方程
周期解
存在性
nonlinear equation with delay
periodic solution
existence