Title | EXISTENCE THEOREMS FOR SYSTEMS OF THIRD ORDER DIFFERENTIAL EQUATIONS |
Publication Type | Journal Article |
Year of Publication | 2010 |
Authors | FRIGON M., GILBERT H. |
Journal | Dynamic Systems and Applications |
Volume | 19 |
Start Page | 1 |
Pagination | 23 |
Date Published | 2010 |
ISSN | 1056-2176 |
AMS Subject Classification | 34A34, 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. |
https://acadsol.eu/dsa/articles/19/01-DSA-01.pdf | |
Refereed Designation | Refereed |