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  • The aim of this paper is to generalize the classical theorems on averaging of differential equations. We focus on dynamic equations on time scales and prove both periodic and nonperiodic version of the averaging theorem, as well as a related theorem on the existence of periodic solutions.
  • The aim of this paper is to generalize the classical theorems on averaging of differential equations. We focus on dynamic equations on time scales and prove both periodic and nonperiodic version of the averaging theorem, as well as a related theorem on the existence of periodic solutions. (en)
Title
  • Averaging dynamic equations on time scales
  • Averaging dynamic equations on time scales (en)
skos:prefLabel
  • Averaging dynamic equations on time scales
  • Averaging dynamic equations on time scales (en)
skos:notation
  • RIV/00216208:11320/12:10103532!RIV13-AV0-11320___
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  • I, P(KJB101120802), Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika
  • 2
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  • 124314
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  • RIV/00216208:11320/12:10103532
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  • generalized ordinary differential equations; nonperiodic averaging; periodic solutions; periodic time scales; periodic averaging; averaging method (en)
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  • US - Spojené státy americké
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  • [16CDC5AA7A3A]
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  • Journal of Mathematical Analysis and Applications
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  • 388
http://linked.open...iv/tvurceVysledku
  • Slavík, Antonín
http://linked.open...ain/vavai/riv/wos
  • 000299127900029
http://linked.open...n/vavai/riv/zamer
issn
  • 0022-247X
number of pages
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  • 10.1016/j.jmaa.2011.10.043
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  • 11320
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