Analytic Solutions for a Functional Differential Equation Related to a Traffic Flow Model
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-21
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We study the existence of analytic solutions of a functional differential equation (z(s)+α)2z'(s)=β(z(s+z(s))-z(s)) which comes from traffic flow model.
By reducing the equation with the Schröder transformation to an auxiliary equation, the author discusses not only that the constant λ at resonance, that is, at a root of the unity, but also those λ near resonance under the Brjuno condition.
American Psychological Association (APA)
Zhao, Houyu. 2012. Analytic Solutions for a Functional Differential Equation Related to a Traffic Flow Model. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-452334
Modern Language Association (MLA)
Zhao, Houyu. Analytic Solutions for a Functional Differential Equation Related to a Traffic Flow Model. Abstract and Applied Analysis No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-452334
American Medical Association (AMA)
Zhao, Houyu. Analytic Solutions for a Functional Differential Equation Related to a Traffic Flow Model. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-452334
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-452334