SPIKE LAYER PHENOMENA FOR PAIRS OF 2ND-ORDER EQUATIONS

Authors
KELLEY W
Citation
W. Kelley, SPIKE LAYER PHENOMENA FOR PAIRS OF 2ND-ORDER EQUATIONS, IMA journal of applied mathematics, 60(1), 1998, pp. 91-108
Citations number
11
Categorie Soggetti
Mathematics,Mathematics
Journal title
IMA journal of applied mathematics → ACNP
ISSN journal
02724960
Volume
60
Issue
1
Year of publication
1998
Pages
91 - 108
Database
ISI
SICI code
0272-4960(1998)60:1<91:SLPFPO>2.0.ZU;2-T
Abstract
A system of two second-order ordinary differential equations with a sm all parameter multiplying the second derivative in one of the equation s and Dirichlet boundary conditions is studied. Under appropriate hypo theses, the existence of a solution having a narrow spike at a certain point in the interval is established. Such solutions are of interest in applications that exhibit contrasting spatial structures.