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  • V tomto článku jsou odvozeny asymptotické odhady řešení zpožděné diferenční rovnice \Delta x(t)=-ax(t)+bx(\tau(t)), t\in[t_0,infinity), kde a,b jsou reálné konstanty splňující relace a>0, b\neq 0. Tato rovnice je diskretizací zpožděné diferenciální rovnice a je ukázána souvislost asymptotických odhadů obou rovnic. (cs)
  • In this paper we derive the asymptotic bounds of all solutions of the delay difference equation \Delta x(t)=-ax(t)+bx(\tau(t)), t\in[t_0,infinity) with real constants a>0, b\neq 0. This equation is obtained via the discretization of a delay differentialequation and we show the resemblance in the asymptotic bounds of both equations.
  • In this paper we derive the asymptotic bounds of all solutions of the delay difference equation \Delta x(t)=-ax(t)+bx(\tau(t)), t\in[t_0,infinity) with real constants a>0, b\neq 0. This equation is obtained via the discretization of a delay differentialequation and we show the resemblance in the asymptotic bounds of both equations. (en)
Title
  • Asymptotic properties of solutions of the difference equation \Delta x(t)=-ax(t)+bx(\tau(t))
  • Asymptotické vlastnosti řešení diferenční rovnice \Delta x(t)=-ax(t)+bx(\tau(t)) (cs)
  • Asymptotic properties of solutions of the difference equation \Delta x(t)=-ax(t)+bx(\tau(t)) (en)
skos:prefLabel
  • Asymptotic properties of solutions of the difference equation \Delta x(t)=-ax(t)+bx(\tau(t))
  • Asymptotické vlastnosti řešení diferenční rovnice \Delta x(t)=-ax(t)+bx(\tau(t)) (cs)
  • Asymptotic properties of solutions of the difference equation \Delta x(t)=-ax(t)+bx(\tau(t)) (en)
skos:notation
  • RIV/00216305:26210/05:PU50383!RIV06-GA0-26210___
http://linked.open.../vavai/riv/strany
  • 193-200
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  • P(GA201/01/0079)
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  • 513247
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  • RIV/00216305:26210/05:PU50383
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  • Difference equation, delayed argument, asymptotic behavior (en)
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http://linked.open...ontrolniKodProRIV
  • [52375C136BB3]
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  • Brno
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  • Boca Raton
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  • Proceedings of the Eighth International Conference on Difference Equations and Applications
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  • Kundrát, Petr
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http://linked.open.../riv/zahajeniAkce
number of pages
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  • Chapman & Hall
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  • 1-58488-536-X
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  • 26210
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