| bibtype |
J -
Journal Article
|
| ARLID |
0444708 |
| utime |
20240103210150.9 |
| mtime |
20150617235959.9 |
| WOS |
000355737200007 |
| SCOPUS |
84930663380 |
| DOI |
10.1016/j.na.2015.04.013 |
| title
(primary) (eng) |
Dynamics of second order in time evolution equations with state-dependent delay |
| specification |
| page_count |
24 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0257331 |
| ISSN |
0362-546X |
| title
|
Nonlinear Analysis: Theory, Methods & Applications |
| volume |
1 (2015) |
| page_num |
126-149 |
| publisher |
|
|
| keyword |
Second order evolution equations |
| keyword |
State dependent delay |
| keyword |
Nonlinear plate |
| keyword |
Finite-dimensional attractor |
| author
(primary) |
| ARLID |
cav_un_auth*0317550 |
| name1 |
Chueshov |
| name2 |
I. |
| country |
UA |
|
| author
|
| ARLID |
cav_un_auth*0282033 |
| name1 |
Rezunenko |
| name2 |
Oleksandr |
| 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 |
| ARLID |
cav_un_auth*0284932 |
|
| abstract
(eng) |
We deal with a class of second order in time nonlinear evolution equations with state-dependent delay. This class covers several important PDE models arising in the theory of nonlinear plates. We first prove well-posedness in a certain space of functions which are C1 in time. In contrast with the first order models with discrete state-dependent delay this result does not require any compatibility conditions. The solutions constructed generate a dynamical system in a C1-type space over delay time interval. Our main result shows that this dynamical system possesses compact global and exponential attractors of finite fractal dimension. To obtain this result we adapt the recently developed method of quasi-stability estimates. |
| reportyear |
2016 |
| RIV |
BD |
| num_of_auth |
2 |
| mrcbC52 |
4 A hod 4ah 20231122141012.9 |
| mrcbC55 |
BD |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0247319 |
| cooperation |
| ARLID |
cav_un_auth*0317417 |
| name |
Department of Mechanics and Mathematics, Karazin Kharkov National University, Kharkov |
| country |
UA |
|
| mrcbC64 |
1 Department of Adaptive Systems UTIA-B 10101 MATHEMATICS |
| confidential |
S |
| mrcbT16-e |
MATHEMATICS|MATHEMATICSAPPLIED |
| mrcbT16-j |
0.727 |
| mrcbT16-s |
1.476 |
| mrcbT16-4 |
Q1 |
| mrcbT16-B |
62.508 |
| mrcbT16-C |
78.721 |
| mrcbT16-D |
Q2 |
| mrcbT16-E |
Q1 |
| arlyear |
2015 |
| mrcbTft |
\nSoubory v repozitáři: rezunenko-0444708.pdf |
| mrcbU14 |
84930663380 SCOPUS |
| mrcbU34 |
000355737200007 WOS |
| mrcbU63 |
cav_un_epca*0257331 Nonlinear Analysis: Theory, Methods & Applications 0362-546X 1873-5215 123-124 č. 1 2015 126 149 Elsevier |
|