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.
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页码：90 / 91
页数：2
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