The Lambert Function on the Solution of a Delay Differential Equation

Recently, a new method for computing the analytical solution of a delay differential equation was developed considering a constant initial function. It is based on the existence of a specific class of polynomials in the delay. In this article, we extend this new method to the case of a continuous in...

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Bibliographic Details
Published in:Numerical functional analysis and optimization 2011-01, Vol.32 (11), p.1116-1126
Main Authors: Brito, Paulo B., Fabião, M. Fátima, St. Aubyn, António G.
Format: Article
Language:English
Subjects:
Delay Differential Equation
Exact sciences and technology
Lambert Function
Mathematical analysis
Mathematics
Ordinary differential equations
Polynomials in the Delay
Real functions
Sciences and techniques of general use
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Summary:Recently, a new method for computing the analytical solution of a delay differential equation was developed considering a constant initial function. It is based on the existence of a specific class of polynomials in the delay. In this article, we extend this new method to the case of a continuous initial function. We also show the relationship between the new solution's method and the solution expressed in terms of the Lambert function.
ISSN:0163-0563
1532-2467
DOI:10.1080/01630563.2011.589936