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
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