The test-equation method in investigation of stability of functional differential equations

被引：0

作者：

Malygina, V. V. ^{[1
,2
]}

机构：

[1] Perm Natl Res Polytech Univ, Phys & Math, Komsomolskii Pr 29, Perm 614990, Russia

[2] Perm Natl Res Polytech Univ, Perm 614990, Russia

来源：

IZVESTIYA INSTITUTA MATEMATIKI I INFORMATIKI-UDMURTSKOGO GOSUDARSTVENNOGO UNIVERSITETA | 2012年 / 01期

关键词：

differential equation with aftereffect; exponential stability; uniform stability;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A method is proposed for investigation of stability of solutions to linear scalar functional differential equations. A test equation is put into correspondence to a family of equations of a class being investigated. The study of properties of the test equation makes it possible to obtain an effective description of the stability regions of all equations of the family.

引用

页码：90 / 91

页数：2

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