New Features of Stability of Linear Systems of Differential Equations with Constant Coefficients

被引：1

作者：

Perov, A. I. ^{[1
]}

机构：

[1] Voronezh State Univ, Univ Skaya Pl 1, Voronezh 394036, Russia

来源：

RUSSIAN MATHEMATICS | 2014年 / 58卷 / 09期

基金：

俄罗斯基础研究基金会;

关键词：

stability by Lyapunov; linear systems of differential equations with constant coefficients; non-negative and off-diagonally non-negative matrices;

D O I：

10.3103/S1066369X14090059

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider stability of linear systems of differential equations with constant real coefficients whose matrices are off-diagonally non-negative. The results are applied to arbitrary linear systems of differential equations with constant complex coefficients.

引用

页码：41 / 48

页数：8