BIFURCATION AT MULTIPLE EIGENVALUES FOR SYSTEMS WITH LIPSCHITZ MAPPINGS

TitleBIFURCATION AT MULTIPLE EIGENVALUES FOR SYSTEMS WITH LIPSCHITZ MAPPINGS
Publication TypeJournal Article
Year of Publication2007
AuthorsAMRAOUI S., IGUERNANE M.
JournalDynamic Systems and Applications
Volume16
Start Page187
Pagination16
Date Published2007
ISSN1056-2176
AMS Subject Classification46B99, 47A10, 47A12, 47A30
Abstract

Some results on the existence of bifurcation at multiple eigenvalues for abstract systems concerning Lipschitz continuous mappings in Banach spaces are proved. The obtained results improve some well-known bifurcation results by Crandall and Rabinowitz, McLeod and Sattinger, Tan etc, in the case involving Lipschitz continuous mappings. An application to a system of partial differential equations will be given.

PDFhttps://acadsol.eu/dsa/articles/16/187-202-DSA-25-09-Amraoui.pdf
Refereed DesignationRefereed