Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Research Article

Variation of constants for hybrid systems of functional differential equations

Jack K. Halea1 and Wenzhang Huanga1

a1 Center for Dynamical Systems and Nonlinear Studies, Georgia Institute of Technology, Atlanta, Georgia 30332-0190, U.S.A.

Abstract

The objective is to derive a variation of constants formula for systems of functional differential equations (or delay differential equations) coupled with functional equations (or difference equations). The difficulties arise because of the constraints imposed by the functional equations.

(Received February 01 1993)

(Revised December 01 1993)