Asymptotic Comparison of the Solutions of Linear Time-Delay Systems with Point and Distributed Lags with Those of Their Limiting Equations
Author
Source
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-37, 37 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-05-28
Country of Publication
Egypt
No. of Pages
37
Main Subjects
Abstract EN
This paper investigates the relations between the particular eigensolutions of a limiting functional differential equation of any order, which is the nominal (unperturbed) linear autonomous differential equations, and the associate ones of the corresponding perturbed functional differential equation.
Both differential equations involve point and distributed delayed dynamics including Volterra class dynamics.
The proofs are based on a Perron-type theorem for functional equations so that the comparison is governed by the real part of a dominant zero of the characteristic equation of the nominal differential equation.
The obtained results are also applied to investigate the global stability of the perturbed equation based on that of its corresponding limiting equation.
American Psychological Association (APA)
de La Sen, Manuel. 2009. Asymptotic Comparison of the Solutions of Linear Time-Delay Systems with Point and Distributed Lags with Those of Their Limiting Equations. Abstract and Applied Analysis،Vol. 2009, no. 2009, pp.1-37.
https://search.emarefa.net/detail/BIM-455336
Modern Language Association (MLA)
de La Sen, Manuel. Asymptotic Comparison of the Solutions of Linear Time-Delay Systems with Point and Distributed Lags with Those of Their Limiting Equations. Abstract and Applied Analysis No. 2009 (2009), pp.1-37.
https://search.emarefa.net/detail/BIM-455336
American Medical Association (AMA)
de La Sen, Manuel. Asymptotic Comparison of the Solutions of Linear Time-Delay Systems with Point and Distributed Lags with Those of Their Limiting Equations. Abstract and Applied Analysis. 2009. Vol. 2009, no. 2009, pp.1-37.
https://search.emarefa.net/detail/BIM-455336
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-455336