Classification of some first order functional differential equations with constant coefficients to solvable Lie algebras

Abstract

In this paper, we shall apply symmetry analysis to some first order functional differential equations with constant coefficients. The approach used in this paper accounts for obtaining the inverse of the classification. We define the standard Lie bracket and make a complete classification of some first order linear functional differential equations with constant coefficients to solvable Lie algebras. We also classify some nonlinear functional differential equations with constant coefficients to solvable Lie algebras.