Volterra and Functional Differential Equations

AN EXAMPLE OF BOUNDARY LAYER IN DELAY EQUATIONS

Jack K. HaleLuis Magalhāes

Lefschetz Center for Dynamical Systems Division of Applied Mathematics Brown University Providence, Rhode Island

DOI: 10.1201/9781003420026-4

Singular perturbation problems for functional differential equations have been studied by a number of authors [1–5]. These investigations were primarily concerned with the nature of convergence of the solutions to the degenerate problem for positive tine. Very little is known about the boundary layer for the general case. The results of Halanay [4] and Klimushev [5] lead to a partial discussion of the boundary layer for a very special class of equations. In this note, we give a result for a special equation concerning necessary ...