COMPOUND MATRICES AND ORDINARY DIFFERENTIAL-EQUATIONS

被引：291

作者：

MULDOWNEY, JS ^{[1
]}

机构：

[1] UNIV ALBERTA, DEPT MATH, EDMONTON T6G 2G1, ALBERTA, CANADA

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 1990年 / 20卷 / 04期

关键词：

D O I：

10.1216/rmjm/1181073047

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A survey is given of a connection between compound matrices and ordinary differential equations. Some typical linear results are presented. For nonlinear autonomous systems, a criterion for orbital asymptotic stability of a closed trajectory given by Poincare in two dimensions is extended to systems of any finite dimension. A criterion of Bendixson for the nonexistence of periodic solutions of a two dimensional system is also extended to higher dimensional systems.

引用

页码：857 / 872

页数：16

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