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  • The aim of this paper is to show that dynamic equations on time scales can be treated in the framework of generalized ordinary differential equations as introduced by J. Kurzweil. We also use some known results for generalized ordinary differential equations to obtain new theorems related to stability and continuous dependence on parameters for dynamic equations on time scales.
  • The aim of this paper is to show that dynamic equations on time scales can be treated in the framework of generalized ordinary differential equations as introduced by J. Kurzweil. We also use some known results for generalized ordinary differential equations to obtain new theorems related to stability and continuous dependence on parameters for dynamic equations on time scales. (en)
Title
  • Dynamic equations on time scales and generalized ordinary differential equations
  • Dynamic equations on time scales and generalized ordinary differential equations (en)
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  • Dynamic equations on time scales and generalized ordinary differential equations
  • Dynamic equations on time scales and generalized ordinary differential equations (en)
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  • RIV/00216208:11320/12:10103490!RIV13-AV0-11320___
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  • I, P(KJB101120802), Z(MSM0021620839)
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  • 1
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  • 132491
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  • RIV/00216208:11320/12:10103490
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  • Kurzweil-Stieltjes integral; integration on time scales; linear equations; continuous dependence on parameters; stability with respect to perturbations; variational stability (en)
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  • US - Spojené státy americké
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  • [0AC6E1AB9CE9]
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  • Journal of Mathematical Analysis and Applications
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  • 385
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  • Slavík, Antonín
http://linked.open...ain/vavai/riv/wos
  • 000294979100051
http://linked.open...n/vavai/riv/zamer
issn
  • 0022-247X
number of pages
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  • 10.1016/j.jmaa.2011.06.068
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  • 11320
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