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2012 Analytic Solutions for a Functional Differential Equation Related to a Traffic Flow Model
Houyu Zhao
Abstr. Appl. Anal. 2012: 1-13 (2012). DOI: 10.1155/2012/180595

Abstract

We study the existence of analytic solutions of a functional differential equation ( z ( s ) + α ) 2 z ' ( 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.

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Houyu Zhao. "Analytic Solutions for a Functional Differential Equation Related to a Traffic Flow Model." Abstr. Appl. Anal. 2012 1 - 13, 2012. https://doi.org/10.1155/2012/180595

Information

Published: 2012
First available in Project Euclid: 28 March 2013

zbMATH: 1261.34045
MathSciNet: MR2999889
Digital Object Identifier: 10.1155/2012/180595

Rights: Copyright © 2012 Hindawi

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