The generalized Bohl-Perron principle for the neutral type vector functional differential equations

被引：1
作者：
Gil, Michael [1 ]
机构：
[1] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel
来源：
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 2013年 / 25卷 / 01期
关键词：
Neutral type functional differential equation; Linear equation; Exponential stability;
D O I：
10.1007/s00498-012-0100-4
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We consider a vector homogeneous neutral type functional differential vector equation of a certain class. It is proved that, if the corresponding nonhomogeneous equation with the zero initial conditions and an arbitrary free term bounded on the positive half-line, has a bounded solution, then the considered homogeneous equation is exponentially stable.
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收藏
页码：133 / 146
页数：14
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