巴氏方程渐近稳定性在超实数域上的扩充

On the Hyper Global Asymptotic Stability on Барбашин Equations

本文用非标准分析的方法，给出方程的超全局渐近稳定性判定定理。其结果是大大削弱了经典理论中的苛刻条件。

Abstract The Hyuper Global Asympotic stability of Барбашин Third order and nonlinear equations are expanded by using non standard analysis method in this paper. The result is that an exacting condition in the classical theory is weaked greatly and attracting field of the eqquation is expanded. The new nonstandard method is different from the classical theory.