• Title of article

    Dynamic equations on time scales and generalized ordinary differential equations

  • Author/Authors

    Michal and Slavيk، نويسنده , , Antonيn، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2012
  • Pages
    17
  • From page
    534
  • To page
    550
  • Abstract
    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.
  • Keywords
    Stability with respect to perturbations , Variational stability , Linear equations , Continuous dependence on parameters , Integration on time scales , Kurzweil–Stieltjes integral
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2012
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    1562251