Characterizations of positive linear Volterra integro-differential systems

被引：11
|
作者：
Naito, Toshiki
Murakami, Satoru
Shin, Jong Son
Ngoc, Pham Huu Anh
机构：
[1] Univ Electrocommun, Dept Math, Tokyo, Japan
[2] Okayama Univ Sci, Dept Appl Math, Okayama, Okaya 700, Japan
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2007年 / 58卷 / 02期
基金：
日本学术振兴会;
关键词：
Volterra integro-differential system; positive system; asymptotic behavior;
D O I：
10.1007/s00020-007-1492-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We first give a criterion for positivity of the solution semigroup of linear Volterra integro-differential systems. Then, we offer some explicit conditions under which the solution of a positive linear Volterra system is exponentially stable or (robustly) lies in L-2 [0, +infinity).
引用
收藏
页码：255 / 272
页数：18
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