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Analytic Solutions for a Functional Differential Equation Related to a Traffic Flow Model
2012
Abstract and Applied Analysis
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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 constantλat resonance, that is, at a root of the unity, but also thoseλnear resonance under the Brjuno condition.
doi:10.1155/2012/180595
fatcat:zxar7i7eo5cvxld7naaunhwxtm