摘要
本文利用比较原理及两个Lyapunov函数ν(t.x),ω(t.x)研究了非自治系统解的最终有界性,对充分大的‖x‖,只要求ν(t,x)是常负的,ω(t,x)的构造也很简单。文中的定理1.1包含了文(1)的定理1.18。最后,作为本文方法的应用,研究了三阶非线性系统。解的最终有界性。
In this paper,we study the ultimate boundness of solutions of the nonautonomic differential equations by means of comarative theorem and two Lyapunov functions,the theorem 1.1 in the paper in dudes the theorem 1. 18 in the reference [1], As an application of the theorem, we consider the ultimate boundness of solutions of the eguations
关键词
最终有界性
微分方程解
非自治微分方程
F-functions,Lyapunov-functions,uniform boundness,uniformly ultimate bound-ness
