0398123 20240111140836.520131106235959.9 000327909800010 84887317111 10.1016/j.jfranklin.2013.04.007 13 s. E cav_un_epca*02537790016-003235010 (2013)2982-2993Elsevier complex systems linear equation modeling cav_un_auth*0101066 Beran Zdeněk Teorie řízení Department of Control Theory TŘ TR UTIA-B Department of Control Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0101074 Čelikovský Sergej Teorie řízení Department of Control Theory TŘ TR UTIA-B Department of Control Theory Ústav teorie informace a automatizace AV ČR, v. v. i. textový dokument http://library.utia.cas.cz/separaty/2013/TR/beran-0398123.pdf 336 kB GA13-20433S GA ČR cav_un_auth*0292613 The application of the functional derivatives to the mathematica lmodeling of complex systems is studied here. The connection of functional derivatives with total differentials in Banach spaces is shown. Local and global existence theorems for the linear equations in total differentials are proved. Consequently, a total integrability conditions are derived for the case of linear equations with the functional derivatives. Some illustrative examples are included. 2014 BC 2 4 A 4a 20231122135859.7 RVO:67985556 http://hdl.handle.net/11104/0225711 AUTOMATIONCONTROLSYSTEMS|ENGINEERINGELECTRICALELECTRONIC|ENGINEERINGMULTIDISCIPLINARY|MATHEMATICSINTERDISCIPLINARYAPPLICATIONS 2.396 0.254 4.IV 0.00595 0.576 2546 197 1.046 ScienceCitationIndexExpanded Q1 54.215 84.584 Q2 Q2 2013 Soubory v repozitáři: beran-0398123.pdf 84887317111 SCOPUS 000327909800010 WOS textový dokument 336 kB cav_un_epca*0253779 Journal of the Franklin Institute-Engineering and Applied Mathematics 0016-0032 1879-2693 Roč. 350 č. 10 2013 2982 2993 Elsevier