Title | COMPONENT-WISE CONDITIONS FOR THE ASYMPTOTIC EQUIVALENCE FOR NONLINEAR DIFFERENTIAL SYSTEMS WITH MAXIMA |
Publication Type | Journal Article |
Year of Publication | 2011 |
Authors | GONZÁLEZ PATRICIO, PINTO MANUEL |
Journal | Dynamic Systems and Applications |
Volume | 20 |
Start Page | 439 |
Pagination | 15 |
Date Published | 2011 |
ISSN | 1056-2176 |
AMS Subject Classification | 34A20, 34A30, 34A36, 34C41, 34D05 |
Abstract | We obtain new sufficient component-wise conditions for the asymptotic equivalence between bounded solutions of linear and nonlinear systems of differential equations with maxima. A Lipschitz component-wise and a spectral condition allow us to obtain vectorial asymptotic formulae. Under a spectral dichotomy condition the equivalences take the form of a homeomorphism which is also extended to unbounded solutions. We also obtain a vectorial Levinson’s theorem with maximum about asymptotic integration. |
https://acadsol.eu/dsa/articles/20/29-DSA-30-04.pdf | |
Refereed Designation | Refereed |