一类Volterra积分微分系统的实用稳定性与Liapunov稳定性  

Practical stability and liapunov′s stability for a volterra integral differential system

作　　者：白红[1] 王洪滨[1] 

机构地区：[1]哈尔滨工业大学数学系,黑龙江哈尔滨150001

出　　处：《哈尔滨工业大学学报》2001年第3期393-394,397,共3页Journal of Harbin Institute of Technology

摘　　要：给出了Volterra积分微分系统可以化为常微分系统的条件 ,利用该条件一类相当普遍的Volterra系统的稳定性可以借助常微分系统来研究 .进一步针对纯量线性Volterra系统给出了其实用稳定性和Liapunov稳定性的判定定理 。Presents the conditions for transforming a Volterra integral-differential system into an ordinary differential system, under which, the stability of a quite universal Volterra system can be discussed by means of the ordinary differential system, and gives the theorems of discriminating the practical stability and Liapunov stability for a scalar linear Volterra system which extend the result of the Burton's theorem.

关 键 词：Volterra积分微分系统 实用稳定性 Liapunov稳定性 

分 类 号：O175.6[理学—数学]