关于Volterra积分微分方程的渐近稳定性  

On Asysmptotic Stability for Volterra Integrodifferential Equations

作　　者：张宗达[1] 

机构地区：[1]哈尔滨工业大学数学系,副教授哈尔滨150006

出　　处：《哈尔滨工业大学学报》1990年第4期11-19,共9页Journal of Harbin Institute of Technology

摘　　要：本文利用V-泛函方法讨论了Volterra积分微分方程x′=A(t)x+integral from n=0 to t c(t,s)x(s)ds零解的渐近稳定性,特别是引入了向量V-泛函方法,得到若干判别法,有的十分简便。In this paper, we discuss asymptotic stability of the zero solution for Volterra integrodifferential equations x′=A(t)x+integral from n=0 to t C(t,s)x(s)ds with the help of V-functional. Particularly, we introduce the method of Vectorial V-functinal to obtain some criteria and some of them are convenient.

关 键 词：积分微分方程 渐近稳定性 V-泛函 

分 类 号：O175.6[理学—数学]