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  • Recently, the authors obtained new characterizations of the positivity and nonnegativity of a time scale quadratic functional F with separable endpoints related to a time scale symplectic system (S). In these results, the assumption of normality is absent. In this paper we present applications of such results. Namely, without assuming normality we derive Sturmian comparison theorems, results for general jointly varying endpoints, and characterizations of the positivity of F via the corresponding time scale Riccati equation, a certain perturbed quadratic functional, and a time scale Riccati inequality. These results generalize and unify many recent as well as classical ones.
  • Recently, the authors obtained new characterizations of the positivity and nonnegativity of a time scale quadratic functional F with separable endpoints related to a time scale symplectic system (S). In these results, the assumption of normality is absent. In this paper we present applications of such results. Namely, without assuming normality we derive Sturmian comparison theorems, results for general jointly varying endpoints, and characterizations of the positivity of F via the corresponding time scale Riccati equation, a certain perturbed quadratic functional, and a time scale Riccati inequality. These results generalize and unify many recent as well as classical ones. (en)
Title
  • Applications of time scale symplectic systems without normality
  • Applications of time scale symplectic systems without normality (en)
skos:prefLabel
  • Applications of time scale symplectic systems without normality
  • Applications of time scale symplectic systems without normality (en)
skos:notation
  • RIV/00216224:14310/08:00024141!RIV10-MSM-14310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(1K04001), P(GA201/04/0580), P(KJB1019407), Z(MSM0021622409)
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 356836
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14310/08:00024141
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Time scale; Time scale symplectic system; Linear Hamiltonian system; Quadratic functional; Nonnegativity; Positivity; Conjoined (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [0C2FBC2659DC]
http://linked.open...i/riv/nazevZdroje
  • Journal of Mathematical Analysis and Applications
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 340
http://linked.open...iv/tvurceVysledku
  • Šimon Hilscher, Roman
  • Zeidan, Vera
http://linked.open...ain/vavai/riv/wos
  • 000252860500036
http://linked.open...n/vavai/riv/zamer
issn
  • 0022-247X
number of pages
http://localhost/t...ganizacniJednotka
  • 14310
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