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  • In this paper we discuss trigonometric and hyperbolic systems on time scales. These systems generalize and unify their corresponding continuous-time and discrete-time analogies, namely the systems known in the literature as trigonometric and hyperbolic linear Hamiltonian systems and discrete symplectic systems. We provide time scale matrix definitions of the usual trigonometric and hyperbolic functions and show that many identities known from the basic calculus extend to this general setting, including the time scale differentiation of these functions.
  • In this paper we discuss trigonometric and hyperbolic systems on time scales. These systems generalize and unify their corresponding continuous-time and discrete-time analogies, namely the systems known in the literature as trigonometric and hyperbolic linear Hamiltonian systems and discrete symplectic systems. We provide time scale matrix definitions of the usual trigonometric and hyperbolic functions and show that many identities known from the basic calculus extend to this general setting, including the time scale differentiation of these functions. (en)
Title
  • Trigonometric and hyperbolic systems on time scales
  • Trigonometric and hyperbolic systems on time scales (en)
skos:prefLabel
  • Trigonometric and hyperbolic systems on time scales
  • Trigonometric and hyperbolic systems on time scales (en)
skos:notation
  • RIV/00216224:14310/09:00028575!RIV10-MSM-14310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/07/0145), P(KJB100190701), Z(MSM0021622409)
http://linked.open...iv/cisloPeriodika
  • 3-4
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
  • 346984
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14310/09:00028575
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Time scale; Time scale symplectic system; Linear Hamiltonian system; Discrete symplectic system; Trigonometric system; Hyperbolic system; Trigonometric function; Hyperbolic function (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [07759C714CCB]
http://linked.open...i/riv/nazevZdroje
  • Dynamic Systems 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
  • 18
http://linked.open...iv/tvurceVysledku
  • Zemánek, Petr
  • Šimon Hilscher, Roman
http://linked.open...ain/vavai/riv/wos
  • 000270520600009
http://linked.open...n/vavai/riv/zamer
issn
  • 1056-2176
number of pages
http://localhost/t...ganizacniJednotka
  • 14310
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