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

页码：255 / 272

页数：18

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