The Lambert Function on the Solution of a Delay Differential Equation
JOURNAL
YEAR
Sep 21, 2011
TYPE
Articles in journals
AUTHORS
Fabião, F., Brito, P., St.Aubyn, A.
VOL Nº
32
PAGES
10
ABSTRACT
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 special class of polynomials in the delay. In this paper 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.
JEL CLASS
KEYWORDS
Delay Differential Equations,Lambert Function,Polynomials in the Delay,