摘要
用重合度理论研究一类时滞微分方程ax″(t)+cx′(t)+bx(t)+g(x(t-(τt)))=p(t)周期解的存在性,得到了该方程存在T(T>0)周期解存在的充分性定理.
In this paper,the theory of coincidence degree is used to study the existence of a periodic solution for the differential equation with delay ax″(t) +cac' (t) + bx (t) + g(ac(t- τ(t))) = p(t)and a sufficient theorem is obtained for the existence of a periodic solution of of the equation.
出处
《甘肃联合大学学报(自然科学版)》
2006年第6期29-31,共3页
Journal of Gansu Lianhe University :Natural Sciences
关键词
DUFFING方程
周期解
重合度理论
Duffing equation
periodic solution
theory of coincidence degree