一类非线性三阶、四阶系统李雅普诺夫函数的构造及类比法

<正> §1 前言R.Reissig,G.Sansone,R.Conti 三人合著的书《高阶非线性微分方程》总结归纳了大量文献对三阶四阶系统的研究成果。文献[2][3][4]用类比法构造三阶非线性系统的 Liapunov 函数,获得成功,从而扩充改进了[1]中对三阶系统的成果。文[5]扩充了[1]中对四阶系统的成果。本文的工作:

The Coustruction of Liapunoy Functions for a Family Third and Fourth Order Systems and Comparatirely method

In this article have been adopted Liopunov—Barbashe linear parallel comparatively method on a family of Third and Fourth Order nonlinear system,Liapunov function was found.Thus we obtain eight theorem of globally asymptotically stable of zero solution Second,make an approach to liapnnov-Barbashe lirear parallel com- pararatively method