0377979 20240103201015.420120828235959.9 16 s. cav_un_epca*03779782158-611X22 (2012)56-71 partial differential equations state-dependent delay invariance principle cav_un_auth*0282033 Rezunenko Oleksandr Adaptivní systémy Department of Adaptive Systems AS AS UTIA-B Department of Adaptive Systems Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2012/AS/rezunenko- local properties of solutions to non-autonomous parabolic PDEs with state-dependent delays.pdf GAP103/12/2431 GA ČR CZ cav_un_auth*0284932 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. 2013 BC 1 RVO:67985556 http://hdl.handle.net/11104/0209980 2012 cav_un_epca*0377978 Journal of Abstract Differential Equations and Applications 2158-611X Roč. 2 č. 2 2012 56 71