一类 Volterra 积分微分系统的稳定性

ON THE STABILITY OF A CLASS OF VOLTERRA INTEGRO-DIFFERENTIAL SYSTEMS

本文应用大系统的定性分析方法,通过作二次型加积分项的 Liapunov 泛函,讨论了一类 Volterra 积分微分系统平凡解的稳定性与一致渐近稳定性,由于作了一些更为细致的处理,我们得到了比文[1—2]的相应结果适应性更为广泛的充分性准则,并扩充了以往的研究工作。

In this paper,by ultilizing the qualitative analysis method of large-scaledynamical systems,and constructing the liapunov functional,We study a cl-ass of Volterra integro differential systems.The sufficient conditions forthe stability and uniform asymptotic stability of the trivial are obtained.