C1-smooth dependence on initial conditions and delay spaces of initial histories of Sobolev type, and differentiability of translation in Lp /
The objective of this paper is to clarify the relationship between the C 1 -smooth dependence of solutions to delay differential equations (DDEs) on initial histories (i.e., initial conditions) and delay parameters. For this purpose, we consider a class of DDEs which include a constant discrete dela...
Elmentve itt :
| Szerző: | |
|---|---|
| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2019
|
| Sorozat: | Electronic journal of qualitative theory of differential equations
|
| Kulcsszavak: | Differenciálegyenlet - késleltetett |
| doi: | 10.14232/ejqtde.2019.1.91 |
| Online Access: | http://acta.bibl.u-szeged.hu/66358 |
| LEADER | 01636nas a2200205 i 4500 | ||
|---|---|---|---|
| 001 | acta66358 | ||
| 005 | 20260224081030.0 | ||
| 008 | 200127s2019 hu o 000 hun d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2019.1.91 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a hun | ||
| 100 | 1 | |a Nishiguchi Junya | |
| 245 | 1 | 0 | |a C1-smooth dependence on initial conditions and delay |h [elektronikus dokumentum] : |b spaces of initial histories of Sobolev type, and differentiability of translation in Lp / |c Nishiguchi Junya |
| 260 | |c 2019 | ||
| 300 | |a 1-32 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a The objective of this paper is to clarify the relationship between the C 1 -smooth dependence of solutions to delay differential equations (DDEs) on initial histories (i.e., initial conditions) and delay parameters. For this purpose, we consider a class of DDEs which include a constant discrete delay. The problem of C 1 -smooth dependence is fundamental from the viewpoint of the theory of differential equations. However, the above mentioned relationship is not obvious because the corresponding functional differential equations have the less regularity with respect to the delay parameter. In this paper, we prove that the C 1 -smooth dependence on initial histories and delay holds by adopting spaces of initial histories of Sobolev type, where the differentiability of translation in L p plays an important role. | |
| 695 | |a Differenciálegyenlet - késleltetett | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/66358/1/ejqtde_2019_091.pdf |z Dokumentum-elérés |