渐近稳定性定理的推广

The Generalization of Theorem of Asymptotic Stability

本文讨论了较一般的非线性微分方程组零解的渐近稳定性，推广了文［１］及文［２］的证明方法和其中的一些结果．特别是去掉了Ｌｉａｐｕｎｏｖ函数具有无穷小上界的条件。最后举例说明作者所得的新结果有效且优于前人的有关结果．

In this paper,we generalozed the method of proof and where several several consequence of the paper [1]and paper [2].and studied the asymptotic stability of a trival solution of nonautonomous system.