ISSN:
1572-9222
Keywords:
Differential delay equations
;
singular perturbations
;
transition layers
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Transition layers arising from square-wave-like periodic solutions of a singularly perturbed delay differential equation are studied. Such transition layers correspond to heteroclinic orbits connecting a pair of equilibria of an associated system of transition layer equations. Assuming a monotonicity condition in the nonlinearity, we prove these transition layer equations possess a unique heteroclinic orbit, and that this orbit is monotone. The proof involves a global continuation for heteroclinic orbits.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01048789