On the solution manifold of a differential equation with a delay which has a zero
For a differential equation with a state-dependent delay we show that the associated solution manifold Xf of codimension 1 in the space C 1 ([−r, 0], R) is an almost graph over a hyperplane, which implies that Xf is diffeomorphic to the hyperplane. For the case considered previous results only provi...
Elmentve itt :
| Szerző: | |
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2022
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2022.1.31 |
| Online Access: | http://acta.bibl.u-szeged.hu/76532 |
| LEADER | 01138nas a2200229 i 4500 | ||
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| 005 | 20221108083732.0 | ||
| 008 | 220908s2022 hu o 0|| eng d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2022.1.31 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Walther Hans-Otto | |
| 245 | 1 | 3 | |a On the solution manifold of a differential equation with a delay which has a zero |h [elektronikus dokumentum] / |c Walther Hans-Otto |
| 260 | |c 2022 | ||
| 300 | |a 10 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a For a differential equation with a state-dependent delay we show that the associated solution manifold Xf of codimension 1 in the space C 1 ([−r, 0], R) is an almost graph over a hyperplane, which implies that Xf is diffeomorphic to the hyperplane. For the case considered previous results only provide a covering by 2 almost graphs. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Differenciálegyenlet | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/76532/1/ejqtde_2022_031.pdf |z Dokumentum-elérés |