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 |
|