Fátima Fabião, Paulo B. Brito, and Antóonio St. Aubyn

A Variant of the Method of Step Algorithm for a Delay Differential Equation

In this paper we develop a new method to obtain explicit solutions for a first order linear delay differential equation based upon the generating function concept. The advantage of this new method as regards the traditional Method of Step Algorithm (MSA) is also showed through an example.

Mathematics Subject Classification: 34K05, 34K06

Key words and phrases: Delay differential equation, method of step algorithm (MSA), generating function, polynomials with a single delay