| bibtype |
J -
Journal Article
|
| ARLID |
0381969 |
| utime |
20240103201350.9 |
| mtime |
20121029235959.9 |
| WOS |
000309289900019 |
| DOI |
10.3934/dcds.2013.33.819 |
| title
(primary) (eng) |
Non-local PDEs with discrete state-dependent delays: Well-posedness in a metric space |
| specification |
|
| serial |
| ARLID |
cav_un_epca*0255898 |
| ISSN |
1078-0947 |
| title
|
Discrete and Continuous Dynamical Systems |
| volume_id |
33 |
| volume |
2 (2013) |
| page_num |
819-835 |
| publisher |
|
|
| keyword |
Partial differential equations with delays |
| keyword |
well-posedness |
| keyword |
metric space |
| author
(primary) |
| ARLID |
cav_un_auth*0282033 |
| name1 |
Rezunenko |
| name2 |
Oleksandr |
| full_dept (cz) |
Adaptivní systémy |
| full_dept (eng) |
Department of Adaptive Systems |
| department (cz) |
AS |
| department (eng) |
AS |
| institution |
UTIA-B |
| full_dept |
Department of Adaptive Systems |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0101234 |
| name1 |
Zagalak |
| name2 |
Petr |
| full_dept (cz) |
Adaptivní systémy |
| full_dept |
Department of Adaptive Systems |
| department (cz) |
AS |
| department |
AS |
| institution |
UTIA-B |
| full_dept |
Department of Adaptive Systems |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| cas_special |
| project |
| project_id |
GAP103/12/2431 |
| agency |
GA ČR |
| country |
CZ |
| ARLID |
cav_un_auth*0284932 |
|
| abstract
(eng) |
Partial differential equations with discrete (concentrated) state-dependent delays are studied. The existence and uniqueness of solutions with initial data from a wider linear space is proven first and then a subset of the space of continuously differentiable (with respect to an appropriate norm) functions is used to construct a dynamical system. This subset is an analogue of the solution manifold proposed for ordinary equations in [H.-O. Walther, The solution manifold and C 1-smoothness for differential equations with state- dependent delay, J. Differential Equations, 195(1), (2003) 46–65]. The exis- tence of a compact global attractor is proven. As applications, we consider the well known Mackey-Glass-type equations with diffusion, the Lasota-Wazewska- Czyzewska model, and the delayed diffusive Nicholson’s blowflies equation, all with state-dependent delays. |
| reportyear |
2013 |
| RIV |
BC |
| mrcbC52 |
4 A 4a 20231122135241.3 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0212323 |
| mrcbT16-e |
MATHEMATICS|MATHEMATICSAPPLIED |
| mrcbT16-f |
1.076 |
| mrcbT16-g |
0.280 |
| mrcbT16-h |
5.0 |
| mrcbT16-i |
0.01767 |
| mrcbT16-j |
1.059 |
| mrcbT16-k |
2048 |
| mrcbT16-l |
357 |
| mrcbT16-s |
1.375 |
| mrcbT16-z |
ScienceCitationIndex |
| mrcbT16-4 |
Q1 |
| mrcbT16-B |
82.469 |
| mrcbT16-C |
73.246 |
| mrcbT16-D |
Q1 |
| mrcbT16-E |
Q1 |
| arlyear |
2013 |
| mrcbTft |
\nSoubory v repozitáři: zagalak-0381969.pdf |
| mrcbU34 |
000309289900019 WOS |
| mrcbU63 |
cav_un_epca*0255898 Discrete and Continuous Dynamical Systems 1078-0947 1553-5231 Roč. 33 č. 2 2013 819 835 AIMS Press |
|