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Description
  • Prezentujeme charakterizaci pozitivity diskrétního kvadratického funkcionálu s obecnými proměnnými konci. Daný funkcionál transformujeme dvěma různými způsoby na problémy se separovanými konci, na které pak aplikujeme předchozí tvrzení. Výsledkem jsou podmínky, které uvažují izotropické báze ve dvojnásobné dimenzi, implicitní a explicitní Riccatiho rovnice s příslušnými okrajovými podmínkami ve formě rovnosti či nerovnosti. Výsledky v tomto článku rozšiřují a doplňují výsledky dosud známé. (cs)
  • 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.
  • 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)
Title
  • Discrete quadratic functionals with jointly varying endpoints via separable endpoints
  • Discrete quadratic functionals with jointly varying endpoints via separable endpoints (en)
  • Diskrétní kvadratické funkcionály s obecnými proměnnými konci pomocí separovaných konců (cs)
skos:prefLabel
  • Discrete quadratic functionals with jointly varying endpoints via separable endpoints
  • Discrete quadratic functionals with jointly varying endpoints via separable endpoints (en)
  • Diskrétní kvadratické funkcionály s obecnými proměnnými konci pomocí separovaných konců (cs)
skos:notation
  • RIV/00216224:14310/04:00011561!RIV09-GA0-14310___
http://linked.open...avai/riv/aktivita
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  • P(GA201/01/0079)
http://linked.open...vai/riv/dodaniDat
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  • 560744
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  • RIV/00216224:14310/04:00011561
http://linked.open...riv/jazykVysledku
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  • Discrete quadratic functional; Linear Hamiltonian difference system; Discrete quadratic functional; Linear Hamiltonian difference system; Conjoined basis; Riccati difference equation; Focal point (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [0FC4A9151A85]
http://linked.open...v/mistoKonaniAkce
  • Augsburg
http://linked.open...i/riv/mistoVydani
  • Boca Raton
http://linked.open...i/riv/nazevZdroje
  • Proceedings of the Sixth International Conference on Difference Equations
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  • Šimon Hilscher, Roman
  • Zeidan, Vera
http://linked.open...vavai/riv/typAkce
http://linked.open...ain/vavai/riv/wos
  • 000223546400042
http://linked.open.../riv/zahajeniAkce
number of pages
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  • Chapman & Hall/CRC
https://schema.org/isbn
  • 0-415-31675-8
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  • 14310
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