Two models of partial differential equations with discrete and distributed state-dependent delays
| dc.creator | Rezounenko, Alexander V. | |
| dc.date | 2005-03-22 | |
| dc.date.accessioned | 2026-07-07T13:05:19Z | |
| dc.date.available | 2026-07-07T13:05:19Z | |
| dc.description | This work is the first attempt to treat partial differential equations with discrete (concentrated) state-dependent delay. The main idea is to approximate the discrete delay term by a sequence of distributed delay terms (all with state-dependent delays). We study local existence and long-time asymptotic behavior of solutions and prove that the model with distributed delay has a global attractor while the one with discrete delay possesses the trajectory attractor. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/0503470 | |
| dc.identifier | http://arxiv.org/abs/math/0503470 | |
| dc.identifier | Journal of Mathematical Analysis and Applications. Volume 326, Issue 2, (15 February 2007), Pages 1031-1045. | |
| dc.identifier | doi:10.1016/j.jmaa.2006.03.049 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/227452 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35R10; 35B41; 35K57 | |
| dc.title | Two models of partial differential equations with discrete and distributed state-dependent delays | |
| dc.type | text |