EXISTENCE THEOREMS FOR SYSTEMS OF THIRD ORDER DIFFERENTIAL EQUATIONS

TitleEXISTENCE THEOREMS FOR SYSTEMS OF THIRD ORDER DIFFERENTIAL EQUATIONS
Publication TypeJournal Article
Year of Publication2010
AuthorsFRIGON M., GILBERT H.
JournalDynamic Systems and Applications
Volume19
Start Page1
Pagination23
Date Published2010
ISSN1056-2176
AMS Subject Classification34A34, 34A60, 34B15
Abstract

In this paper, we establish the existence of solutions to systems of third order differential equations. A notion of solution-tube to these problems is introduced. This notion extends to systems the notion of upper and lower solutions of third order differential equations. Our proofs rely on the Leray-Schauder degree and the theory of multivalued mappings.

PDFhttps://acadsol.eu/dsa/articles/19/01-DSA-01.pdf
Refereed DesignationRefereed