"0"^^ . . "0"^^ . . "Projekt byl teoretick\u00FD, v\u00FDstupem jsou jednozna\u010Dn\u011B pouze publikace. Je uveden\u00FDch 7, ale 3 teprve vyjdou a jedna nem\u00E1 dedikaci na projekt. Bylo realizov\u00E1no n\u011Bkolik zvan\u00FDch p\u0159edn\u00E1\u0161ek a semin\u00E1\u0159\u016F. V\u00FDznam projektu pro jin\u00E9 obory ani vliv na v\u00FDchovu student\u016F nen\u00ED deklarov\u00E1n. V\u00FDsledky projektu odpov\u00EDdaj\u00ED pl\u00E1novan\u00FDm c\u00EDl\u016Fm, tzn. \u0159e\u0161en\u00ED parabolick\u00FDch a hyperbolick\u00FDch rovnic se zpo\u017Ed\u011Bn\u00EDmi. Projekt byl spln\u011Bn."@cs . "2015-05-22+02:00"^^ . "2014-12-31+01:00"^^ . . . "nonlinear systems partial differential equations state delays"@en . . . "6"^^ . "Differential equations form a tool that is frequently used for describing a great variety of dynamical systems. The developed theory of differential equations gives a possibility to study different kinds of processes like those with a finite number of degrees of freedom (ordinary differential equations), systems with distributed parameters (partial differential equations), systems with memory (differential equations with delays),... A lot of attention has recently been paid to a new class of differential equations with delays where the delays can change according to particular states of the system. Using this kind of equations, many systems - found for example in technology, physics, biology and chemistry - that cannot be dealt with other types of differential equations can be described. The main goal of the project is therefore to study basic properties of such systems, namely to describe qualitative properties of solutions and find sufficient conditions for well-posedness."@en . "6"^^ . "The project was theoretical one, so outcomes are publications. Only 3 out of 7 results are acceptable. The others are not published yet and one has no project dedication. Several invited lectures and seminars were realized. The impact on other research areas and on students is not declared. Outcomes comply with the project aims. The project was accomplished."@en . . . . . "http://www.isvav.cz/projectDetail.do?rowId=GAP103/12/2431"^^ . "GAP103/12/2431" . "2012-01-01+01:00"^^ . . "Syst\u00E9my popsan\u00E9 parci\u00E1ln\u00EDmi diferenci\u00E1ln\u00EDmi rovnicemi se zpo\u017Ed\u011Bn\u00EDmi" . . "1"^^ . . "Diferenci\u00E1ln\u00ED rovnice jsou obvykl\u00FDm n\u00E1strojem pro popis dynamick\u00FDch syst\u00E9m\u016F a poskytuj\u00ED mnoho mo\u017Enost\u00ED p\u0159i studiu r\u016Fzn\u00FDch proces\u016F, kter\u00E9 se vyzna\u010Duj\u00ED nap\u0159. kone\u010Dn\u00FDm stup\u011Bm volnosti, rozprost\u0159en\u00FDmi parametry, nebo se jedn\u00E1 o syst\u00E9my s pam\u011Bt\u00ED. V sou\u010Dasn\u00E9 dob\u011B je velk\u00E1 pozornost v\u011Bnov\u00E1na diferenci\u00E1ln\u00EDm rovnic\u00EDm se zpo\u017Ed\u011Bn\u00EDmi, kde tato zpo\u017Ed\u011Bn\u00ED jsou z\u00E1visl\u00E1 na stavu syst\u00E9mu. Pomoc\u00ED takov\u00FDchto rovnic lze modelovat syst\u00E9my, nap\u0159. popula\u010Dn\u00ED modely v biologii, kter\u00E9 nemohou b\u00FDt pops\u00E1ny oby\u010Dejn\u00FDmi diferenci\u00E1ln\u00EDmi rovnicemi se zpo\u017Ed\u011Bn\u00EDmi ve stavu. Hlavn\u00EDm c\u00EDlem projektu je proto studium syst\u00E9m\u016F, kter\u00E9 jsou pops\u00E1ny parci\u00E1ln\u00EDmi deferenci\u00E1ln\u00EDmi rovnicemi se zpo\u017Ed\u011Bn\u00EDmi, kter\u00E1 jsou z\u00E1visl\u00E1 na stavu syst\u00E9mu." . . . . . "2014-04-18+02:00"^^ . "Systems described by partial differential equations with delays"@en . .