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Article Citation - WoS: 1Citation - Scopus: 2Asymptotic Equivalence of Impulsive Dynamic Equations on Time Scales(Hacettepe Univ, Fac Sci, 2023) Akgol, Sibel DogruThe 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.Article Citation - Scopus: 6The Euler Method for Dynamic Equations on Time Scales(Cambridge Scientific Publishers, 2021) Bohner,M.; Erhan,İ.M.; Georgiev,S.G.In this paper, we generalize the Euler method for dynamic equations on time scales. We give estimates for the local and global truncation errors. We apply the method to specimen examples and provide numerical results to support our theoretical discussion. © 2021. All Rights Reserved.
