Asymptotic equivalence of impulsive dynamic equations on time scales

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Date
2023-03-30
Authors
Akgöl, Sibel Doğru
Journal Title
Journal ISSN
Volume Title
Publisher
Hacettepe Journal of Mathematics and Statistics
Abstract
The asymptotic equivalence of linear and quasilinear impulsive dynamic equations on time scales, as well as two types of linear equations, are proven under mild conditions. To establish the asymptotic equivalence of two impulsive dynamic equations a method has been developed that does not require restrictive conditions, such as the boundedness of the solutions. Not only the time scale extensions of former results have been obtained, but also improved for impulsive differential equations defined on the real line. Some illustrative examples are also provided, including an application to a generalized Duffing equation.
Description
Open Access, Published by Hacettepe Journal of Mathematics and Statistics, https://doi.org/10.15672/hujms.1103384, Sibel DOĞRU AKGÖL, Department of Mathematics, Atılım University, 06830 İncek, Ankara, Turkey.
Keywords
Mathematics Subject Classification: 34N05, 34A37, 34C41 Asymptotic equivalence, dynamic equations, time scales, impulsive, linear/quasilinear
Citation
http://hdl.handle.net/20.500.14411/1904
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