0453412 20240103211534.220160215235959.9 000369464500008 84949503119 10.1016/j.jde.2015.11.007 23 s. P cav_un_epca*02569450022-03962605 (2016)4157-4179Elsevier stochastic partial differential equation stochastic beam equation stochastic wave equation invariant measure cav_un_auth*0202382 Brzezniak Z. GB cav_un_auth*0260292 Ondreját Martin Stochastická informatika Department of Stochastic Informatics SI SI UTIA-B Department of Stochastic Informatics K Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0233028 Seidler Jan Stochastická informatika Department of Stochastic Informatics SI SI UTIA-B Department of Stochastic Informatics Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2016/SI/ondrejat-0453412.pdf GAP201/10/0752 GA ČR cav_un_auth*0263519 Existence of an invariant measure for a stochastic extensible beam equation and for a stochastic damped wave equation with polynomial nonlinearities is proved. It is shown first that the corresponding transition semigroups map the space of all bounded sequentially weakly continuous functions on the state space into itself and then by a Lyapunov functions approach solutions bounded in probability are found. 2016 BA 3 4 A hod 4ah 20231122141417.8 RVO:67985556 http://hdl.handle.net/11104/0257064 1 Department of Stochastic Informatics UTIA-B 10103 STATISTICS & PROBABILITY S 1* Article Mathematics MATHEMATICS 2.222 0.373 9.6 0.04025 1.64 12109 2.548 Q1 1.727 517 Q1 89.67 96 Q1 Q1* 95.981 2016 Soubory v repozitáři: ondrejat-0453412.pdf 84949503119 SCOPUS 000369464500008 WOS cav_un_epca*0256945 Journal of Differential Equations 0022-0396 1090-2732 Roč. 260 č. 5 2016 4157 4179 Elsevier