Periodic solutions for a class of singulary perturbated systems
| dc.creator | Kamenskii, Mikhail | |
| dc.creator | Makarenkov, Oleg | |
| dc.creator | Nistri, Paolo | |
| dc.date | 2007-09-29 | |
| dc.date.accessioned | 2026-07-07T08:33:07Z | |
| dc.date.available | 2026-07-07T08:33:07Z | |
| dc.description | In this paper we provide conditions to ensure the existence, for $e>0$ sufficiently small, of periodic solutions of given period $T>0$ in a prescribed domain $U$ for a class of singularly perturbed first order differential systems. Here $e>0$ is the perturbation parameter. Our approach, based on the topological degree theory and the averaging theory, permits to weaken the conditions in [K.R. Schneider, Vibrational control of singularly perturbed systems, in "Lectures Notes in Control and Information Science", 259, 397-408, Springer, London, 2001, Theorem 2] under which the existence of periodic solutions is proved. | |
| dc.identifier | https://arxiv.org/abs/0710.0055 | |
| dc.identifier | http://arxiv.org/abs/0710.0055 | |
| dc.identifier | Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 11 (2004) 41-55 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/139014 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 34C25; 34C29; 34D15; 47H11 | |
| dc.title | Periodic solutions for a class of singulary perturbated systems | |
| dc.type | text |