Heteroclinic solutions in singularly perturbed discontinuous differential equations a non-generic case /
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 solut...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2024
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet - parciális, Differenciálegyenlet - ordinárius, Melnikov-feltételek, Analízis - matematikai |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2024.1.27 |
| Online Access: | http://acta.bibl.u-szeged.hu/88829 |
| Tartalmi kivonat: | 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. |
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| Terjedelem/Fizikai jellemzők: | 30 |
| ISSN: | 1417-3875 |