"http://www.isvav.cz/projectDetail.do?rowId=1K04001"^^ . . "Time scale" . "0"^^ . . "1"^^ . "Projekt se zab\u00FDval podm\u00EDnkami optimality 2. \u0159\u00E1du pro optimaliza\u010Dn\u00ED \u00FAlohy ve varia\u010Dn\u00EDm po\u010Dtu a optim\u00E1ln\u00EDm \u0159\u00EDzen\u00ED na tzv. \u010Dasov\u00FDch \u0161k\u00E1l\u00E1ch (time scales), zejm\u00E9na v\u00A0souvislosti s\u00A0definitnost\u00ED p\u0159\u00EDslu\u0161n\u00FDch kvadratick\u00FDch funkcion\u00E1l\u016F druh\u00E9 variace."@cs . . . . . "0"^^ . . " Nonnegativity" . "Podm\u00EDnky optimality na %22time scales%22" . " Variable endpoints" . . . " Riccati equation" . "11"^^ . "This project deals with second order optimality conditions for optimization problems in calculus of variations and optimal control on the so-called time scales, in particular in connection with the definiteness of the corresponding quadratic functionals."@en . "11"^^ . . . "The focus of this project is the study of 2nd order optimality conditions in calculus of variations and optimal control problems on time scales. These conditions are based on the nonnegativity (i.e. necessary optimality conditions) and the positivity or coercivity (i.e. sufficient optimality conditions) of the corresponding quadratic functionals of the second variation. In particular, we will study their characterizations in terms of conjugate and coupled points, and the solvability of the associated Jacobi and Riccati dynamic equations."@en . "1K04001" . "Tento projekt se zam\u011B\u0159uje na studium podm\u00EDnek optimality 2. \u0159\u00E1du v \u00FAloh\u00E1ch varia\u010Dn\u00EDho po\u010Dtu a optim\u00E1ln\u00EDho \u0159\u00EDzen\u00ED na %22time scales%22. Tyto podm\u00EDnky se t\u00FDkaj\u00ED nez\u00E1pornosti (tj. nutn\u00E9 podm\u00EDnky optimality) a pozitivity \u010Di koercivity (tj. posta\u010Duj\u00EDc\u00ED podm\u00EDnky optimality) p\u0159\u00EDslu\u0161n\u00FDch kvadratick\u00FDch funkcion\u00E1l\u016F druh\u00E9 variace, zejm\u00E9na pak jejich charakterizace pomoc\u00ED konjugovan\u00FDch a sdru\u017Een\u00FDch bod\u016F a \u0159e\u0161en\u00ED Jacobiho a Riccatiho dynamick\u00FDch rovnic." . " Jacobi equation" . " Quadratic functional" . . . " Positivity" . . . . "2007-06-25+02:00"^^ . " Disconjugacy" . " Coercivity" . " Conjugate and coupled point" . . "Time scale, Quadratic functional, Variable endpoints, Conjugate and coupled point, Jacobi equation, Riccati equation, Nonnegativity, Positivity, Coercivity, Disconjugacy, Optimality conditions"@en . . "Optimality conditions on time scales"@en . .