| bibtype |
J -
Journal Article
|
| ARLID |
0377979 |
| utime |
20240103201015.4 |
| mtime |
20120828235959.9 |
| title
(primary) (eng) |
Local Properties of Solutions to Non-Autonomous Parabolic PDEs with State-Dependent Delays |
| specification |
|
| serial |
| ARLID |
cav_un_epca*0377978 |
| ISSN |
2158-611X |
| title
|
Journal of Abstract Differential Equations and Applications |
| volume_id |
2 |
| volume |
2 (2012) |
| page_num |
56-71 |
|
| keyword |
partial differential equations |
| keyword |
state-dependent delay |
| keyword |
invariance principle |
| 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. |
|
| source |
|
| cas_special |
| project |
| project_id |
GAP103/12/2431 |
| agency |
GA ČR |
| country |
CZ |
| ARLID |
cav_un_auth*0284932 |
|
| abstract
(eng) |
A wide class of non-autonomous nonlinear parabolic partial differential equations with delay is studied. We allow in our investigations different types of delays such as constant, time- dependent, state-dependent (both discrete and distributed) to be presented simultaneously. The main difficulties arise due to the presence of discrete state-dependent delays since the nonlinear delay term is not Lipschitz on the space of continuous functions. We find conditions for the local existence, uniqueness and study the invariance principle. |
| reportyear |
2013 |
| RIV |
BC |
| num_of_auth |
1 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0209980 |
| arlyear |
2012 |
| mrcbU63 |
cav_un_epca*0377978 Journal of Abstract Differential Equations and Applications 2158-611X Roč. 2 č. 2 2012 56 71 |
|