Existence and uniqueness of elliptic periodic solutions of the Brillouin electron beam focusing system

Authors
Torres, PJ
Citation
Pj. Torres, Existence and uniqueness of elliptic periodic solutions of the Brillouin electron beam focusing system, MATH METH A, 23(13), 2000, pp. 1139-1143
Citations number
9
Categorie Soggetti
Mathematics
Journal title
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN journal
01704214 → ACNP
Volume
23
Issue
13
Year of publication
2000
Pages
1139 - 1143
Database
ISI
SICI code
0170-4214(20000910)23:13<1139:EAUOEP>2.0.ZU;2-M
Abstract
We find conditions for the existence of an elliptic periodic solution of a singular equation that governs the motion of a magnetically focused axially symmetric electron beam with Brillouin Row by using a monotone iterative s cheme starting from a couple of upper and lower solutions on the reversed o rder. Also, a uniqueness result is proved by using Brouwer degree and index of solutions. Copyright (C) 2000 John Wiley & Sons, Ltd.