Dynamic Properties of First-order Equations with Large Delay

The local dynamic of the first-order differential equation with large delay is studied. The method of research is based on the normal forms theory. In critical cases having infinite dimensions, special evolutional equations playing the role of normal form are built. Different cases of correlation be...

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Bibliographic Details
Main Author: I. S. Kashchenko
Format: Article
Language:English
Published: Yaroslavl State University 2007-06-01
Series:Моделирование и анализ информационных систем
Online Access:https://www.mais-journal.ru/jour/article/view/1128
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Summary:The local dynamic of the first-order differential equation with large delay is studied. The method of research is based on the normal forms theory. In critical cases having infinite dimensions, special evolutional equations playing the role of normal form are built. Different cases of correlation between the order of coefficient variance from critical values and order of delay are studied.
ISSN:1818-1015
2313-5417