摘要
通过构造具体的Ｌｉａｐｕｎｏｖ泛函研究了一类Ｖｏｌｔｅｒｒａ积分微分系统零解的渐近稳定性与一致渐近稳定性，得到的结果不仅减弱了Ｂｕｒｔｏｎ的相应结果的条件，而且能解决己有文献的一些结果所不能解决的无界系统的稳定性问题。
By constructing the Liapunov functionals，the asymptotic stablity of Volterra integro-differential systems is studied．The sufficient conditions obtained not only relax the knownconditions given by Burton but also can apply to some unbounded systems which cannot behandled by some known results.
基金
国家自然科学基金
关键词
VOLTERRA
渐近稳定
积分微分方程
Volterra integro-differential systems；asymptotic stability；Liapunov functional
