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  • In this paper we derive a new sufficient condition for the nonnegativity of time scale quadratic functionals associated to time scale symplectic systems. To establish this result, a new global Picone formula is derived. Another proof of a special case of the result is shown to be obtained via a Sturmian comparison technique. Furthermore, we derive several new Picone type identities which, in particular, do not impose a certain delta-differentiability assumption, and we survey known ones from the literature. The results in this paper complete our earlier work on the definiteness of a time scale quadratic functional in terms of its corresponding time scale symplectic system.
  • In this paper we derive a new sufficient condition for the nonnegativity of time scale quadratic functionals associated to time scale symplectic systems. To establish this result, a new global Picone formula is derived. Another proof of a special case of the result is shown to be obtained via a Sturmian comparison technique. Furthermore, we derive several new Picone type identities which, in particular, do not impose a certain delta-differentiability assumption, and we survey known ones from the literature. The results in this paper complete our earlier work on the definiteness of a time scale quadratic functional in terms of its corresponding time scale symplectic system. (en)
Title
  • Picone type identities and definiteness of quadratic functionals on time scales
  • Picone type identities and definiteness of quadratic functionals on time scales (en)
skos:prefLabel
  • Picone type identities and definiteness of quadratic functionals on time scales
  • Picone type identities and definiteness of quadratic functionals on time scales (en)
skos:notation
  • RIV/00216224:14310/09:00028640!RIV10-MSM-14310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/07/0145), P(KJB100190701), P(ME 891), Z(MSM0021622409)
http://linked.open...iv/cisloPeriodika
  • 7
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
  • 333456
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14310/09:00028640
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Time scale; Time scale symplectic system; Linear Hamiltonian system; Discrete symplectic system; Picone identity; Quadratic functional; Nonnegativity; Positivity; Conjoined basis; Controllability; Normality (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [65A26BA5C227]
http://linked.open...i/riv/nazevZdroje
  • Applied Mathematics and Computation
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
  • 215
http://linked.open...iv/tvurceVysledku
  • Zeidan, Vera Michel
  • Šimon Hilscher, Roman
http://linked.open...ain/vavai/riv/wos
  • 000271640200004
http://linked.open...n/vavai/riv/zamer
issn
  • 0096-3003
number of pages
http://localhost/t...ganizacniJednotka
  • 14310
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