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
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
Journal title :
Journal of Mathematical Analysis and Applications