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  • The asymptotic behaviour and stability properties are studied for a real two-dimensional system with a nonconstant delay. The method of investigation is based on the transformation of the considered real system to one equation with complex-valued coefficients. Stability and asymptotic properties of this equation are studied by means of a suitable Lyapunov-Krasovskii functional. The results generalize the great part of the results of J. Kalas and L. Barakova [J. Math. Anal. Appl. 269(1) (2002), 278-300] for two-dimensional systems with a constant delay.
  • The asymptotic behaviour and stability properties are studied for a real two-dimensional system with a nonconstant delay. The method of investigation is based on the transformation of the considered real system to one equation with complex-valued coefficients. Stability and asymptotic properties of this equation are studied by means of a suitable Lyapunov-Krasovskii functional. The results generalize the great part of the results of J. Kalas and L. Barakova [J. Math. Anal. Appl. 269(1) (2002), 278-300] for two-dimensional systems with a constant delay. (en)
Title
  • Asymptotic behaviour of a two-dimensional differential system with nonconstant delay
  • Asymptotic behaviour of a two-dimensional differential system with nonconstant delay (en)
skos:prefLabel
  • Asymptotic behaviour of a two-dimensional differential system with nonconstant delay
  • Asymptotic behaviour of a two-dimensional differential system with nonconstant delay (en)
skos:notation
  • RIV/00216224:14310/10:00040538!RIV11-AV0-14310___
http://linked.open...avai/riv/aktivita
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  • P(IAA1163401)
http://linked.open...iv/cisloPeriodika
  • 6
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
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  • 247999
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14310/10:00040538
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  • Delayed differential system; asymptotic behaviour; stability; boundedness of solutions (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV
  • [91E823FFDCD8]
http://linked.open...i/riv/nazevZdroje
  • Mathematische Nachrichten
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
  • 283/2010
http://linked.open...iv/tvurceVysledku
  • Kalas, Josef
http://linked.open...ain/vavai/riv/wos
  • 000278819600007
issn
  • 0025-584X
number of pages
http://localhost/t...ganizacniJednotka
  • 14310
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