On the global attractor of delay differential equations with unimodal feedback not satisfying the negative Schwarzian derivative condition
We study the size of the global attractor for a delay differential equation with unimodal feedback. We are interested in extending and complementing a dichotomy result by Liz and Röst, which assumed that the Schwarzian derivative of the nonlinear feedback is negative in a certain interval. Using rec...
Elmentve itt :
| Szerzők: | |
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2020
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet - késleltetett |
| doi: | 10.14232/ejqtde.2020.1.76 |
| Online Access: | http://acta.bibl.u-szeged.hu/73637 |
| LEADER | 01493nas a2200241 i 4500 | ||
|---|---|---|---|
| 001 | acta73637 | ||
| 005 | 20211105141835.0 | ||
| 008 | 211105s2020 hu o 0|| eng d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2020.1.76 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Franco Daniel | |
| 245 | 1 | 3 | |a On the global attractor of delay differential equations with unimodal feedback not satisfying the negative Schwarzian derivative condition |h [elektronikus dokumentum] / |c Franco Daniel |
| 260 | |c 2020 | ||
| 300 | |a 15 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a We study the size of the global attractor for a delay differential equation with unimodal feedback. We are interested in extending and complementing a dichotomy result by Liz and Röst, which assumed that the Schwarzian derivative of the nonlinear feedback is negative in a certain interval. Using recent stability results for difference equations, we obtain a stability dichotomy for the original delay differential equation in the situation wherein the Schwarzian derivative of the nonlinear term may change sign. We illustrate the applicability of our results with several examples. | |
| 695 | |a Differenciálegyenlet - késleltetett | ||
| 700 | 0 | 1 | |a Guiver Chris |e aut |
| 700 | 0 | 1 | |a Logemann Hartmut |e aut |
| 700 | 0 | 1 | |a Perán Juan |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/73637/1/ejqtde_2020_076.pdf |z Dokumentum-elérés |