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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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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description 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.
doi_str_mv 10.1080/01630563.2011.589936
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source Taylor and Francis Science and Technology Collection
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
title The Lambert Function on the Solution of a Delay Differential Equation
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