摘要
本文利用Liapunov函数的方法,讨论了一类具有缓变系数的非线性非自治周期系统的周期解的存在唯一性,得到了保证系统存在唯一稳定周期解的充分条件,并对系统的缓变范围作了精确的估计.
In this paper , we study the problem of periodic solutions of a class of nonlinear and nonautonomous periodic systems with slowly changed coefficientsx+ a(t)x + b(t)'x + g(t,x) - f(t,x, x, x)x + a(t)x + g(t,x) + c(t)x= f(t,x, x, x)x + g(t,x) + b(t)x + c(t)x= f(t,x, x, x)and obtain some sufficient conditions which guarantee existence, uniqueness and stability of the periodic solutions of these systems.
