"000223546400042" . . "A characterization of the positivity of a discrete quadratic functional with mixed state endpoints is presented. The functional is transformed in two different ways into problems with separable endpoints to which previous results are applied. The outcome are conditions that include augmented conjoined bases and implicit and explicit Riccati equations with corresponding augmented equality or inequality boundary conditions. The results of this paper extend and complete known ones."@en . "A characterization of the positivity of a discrete quadratic functional with mixed state endpoints is presented. The functional is transformed in two different ways into problems with separable endpoints to which previous results are applied. The outcome are conditions that include augmented conjoined bases and implicit and explicit Riccati equations with corresponding augmented equality or inequality boundary conditions. The results of this paper extend and complete known ones." . . "Discrete quadratic functionals with jointly varying endpoints via separable endpoints" . "Chapman & Hall/CRC" . "0-415-31675-8" . "Prezentujeme charakterizaci pozitivity diskr\u00E9tn\u00EDho kvadratick\u00E9ho funkcion\u00E1lu s obecn\u00FDmi prom\u011Bnn\u00FDmi konci. Dan\u00FD funkcion\u00E1l transformujeme dv\u011Bma r\u016Fzn\u00FDmi zp\u016Fsoby na probl\u00E9my se separovan\u00FDmi konci, na kter\u00E9 pak aplikujeme p\u0159edchoz\u00ED tvrzen\u00ED. V\u00FDsledkem jsou podm\u00EDnky, kter\u00E9 uva\u017Euj\u00ED izotropick\u00E9 b\u00E1ze ve dvojn\u00E1sobn\u00E9 dimenzi, implicitn\u00ED a explicitn\u00ED Riccatiho rovnice s p\u0159\u00EDslu\u0161n\u00FDmi okrajov\u00FDmi podm\u00EDnkami ve form\u011B rovnosti \u010Di nerovnosti. V\u00FDsledky v tomto \u010Dl\u00E1nku roz\u0161i\u0159uj\u00ED a dopl\u0148uj\u00ED v\u00FDsledky dosud zn\u00E1m\u00E9."@cs . . . "Augsburg" . . "10"^^ . . "Proceedings of the Sixth International Conference on Difference Equations" . . "Diskr\u00E9tn\u00ED kvadratick\u00E9 funkcion\u00E1ly s obecn\u00FDmi prom\u011Bnn\u00FDmi konci pomoc\u00ED separovan\u00FDch konc\u016F"@cs . . . "RIV/00216224:14310/04:00011561" . . "Diskr\u00E9tn\u00ED kvadratick\u00E9 funkcion\u00E1ly s obecn\u00FDmi prom\u011Bnn\u00FDmi konci pomoc\u00ED separovan\u00FDch konc\u016F"@cs . "14310" . . "2001-01-01+01:00"^^ . . "1"^^ . . . . "RIV/00216224:14310/04:00011561!RIV09-GA0-14310___" . "2"^^ . "\u0160imon Hilscher, Roman" . "560744" . "[0FC4A9151A85]" . "Discrete quadratic functionals with jointly varying endpoints via separable endpoints" . "Boca Raton" . . "P(GA201/01/0079)" . . "Discrete quadratic functional; Linear Hamiltonian difference system; Discrete quadratic functional; Linear Hamiltonian difference system; Conjoined basis; Riccati difference equation; Focal point"@en . "Zeidan, Vera" . "Discrete quadratic functionals with jointly varying endpoints via separable endpoints"@en . . "Discrete quadratic functionals with jointly varying endpoints via separable endpoints"@en .