| Autor: |
Flaviano Battelli, Michal Fečkan, JinRong Wang |
| Jazyk: |
angličtina |
| Rok vydání: |
2024 |
| Předmět: |
|
| Zdroj: |
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2024, Iss 27, Pp 1-30 (2024) |
| Druh dokumentu: |
article |
| ISSN: |
1417-3875 |
| DOI: |
10.14232/ejqtde.2024.1.27 |
| Popis: |
We derive Melnikov type conditions for the persistence of heteroclinic solutions in perturbed slowly varying discontinuous differential equations. Opposite to [J. Differential Equations 400(2024), 314–375] we assume that the unperturbed (frozen) equation has a parametric system of heteroclinic solutions and extend a result in [SIAM J. Math. Anal. 18(1987), 612–629] and [SIAM J. Math. Anal. 19(1988), 1254–1255] to higher dimensional non-Hamiltonian discontinuous singularly perturbed differential equations. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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