"Functional differential equations in Banach spaces"@en . . "Funkcion\u00E1ln\u00ED diferenci\u00E1ln\u00ED rovnice v Banachov\u00FDch prostorech" . . "0"^^ . " initial value problem" . "26"^^ . . . "26"^^ . . "The project was aimed at the study of topics related to various kinds of boundary value problems for functional differential equations in a Banach space X. A particular attention was paid to the cases where X is the space of continuous functions on a bou"@en . . "Projekt byl zam\u011B\u0159en na studium ot\u00E1zek t\u00FDkaj\u00EDc\u00EDch se r\u016Fzn\u00FDch druh\u016F okrajov\u00FDch \u00FAloh pro line\u00E1rn\u00ED funkcion\u00E1ln\u00ED diferenci\u00E1ln\u00ED rovnice, jejich\u017E \u0159e\u0161en\u00ED maj\u00ED hodnoty v obecn\u00E9m Banachov\u011B prostoru. Samostatn\u011B byly studov\u00E1ny speci\u00E1ln\u00ED p\u0159\u00EDpady, kdy tento prostor je"@cs . "1"^^ . "2008-12-31+01:00"^^ . "http://www.isvav.cz/projectDetail.do?rowId=GA201/06/0254"^^ . . "GA201/06/0254" . . . "0"^^ . . . "2008-04-25+02:00"^^ . . . "2006-01-01+01:00"^^ . . "We will investigate qualitative properties of solutions of an initial value problem for linear functional differential equations in\u00A0Banach spaces. We expect that the efficient conditions will be found guaranteeing the existence, uniqueness, and nonnegativity of a solution of the problem considered. The special types of\u00A0studied equation will be investigated in detail, namely the systems of functional differential equations and partial differential equations of\u00A0hyperbolic type."@en . . . "functional differential equation; initial value problem; existence and uniqueness"@en . "2009-10-22+02:00"^^ . "Budou studov\u00E1ny kvalitativn\u00ED vlastnosti \u0159e\u0161en\u00ED Cauchyovy\u00A0\u00FAlohy pro line\u00E1rn\u00ED funkcion\u00E1ln\u00ED diferenci\u00E1ln\u00ED rovnice v Banachov\u00FDch prostorech. P\u0159edpokl\u00E1d\u00E1me, \u017Ee budou nalezeny efektivn\u00ED podm\u00EDnky zaru\u010Duj\u00EDc\u00ED existenci, jednozna\u010Dnost, p\u0159\u00EDpadn\u011B nez\u00E1pornost \u0159e\u0161en\u00ED uva\u017Eovan\u00E9 \u00FAlohy. Podrobn\u011B budou vy\u0161et\u0159ov\u00E1ny tak\u00E9 speci\u00E1ln\u00ED typy studovan\u00E9 rovnice, zejm\u00E9na syst\u00E9my funkcion\u00E1ln\u00EDch diferenci\u00E1ln\u00EDch rovnic a parci\u00E1ln\u00ED diferenci\u00E1ln\u00ED rovnice hyperbolick\u00E9ho typu." . . "functional differential equation" . .