Asymptotic equivalence of impulsive dynamic equations on time scales

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ASYMPTOTIC EQUIVALENCEhjms2023Aut.ver..pdf (332.19 KB)

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2023

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Hacettepe Univ, Fac Sci

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Mathematics
(2000)
The Atılım University Department of Mathematics was founded in 2000 and it offers education in English. The Department offers students the opportunity to obtain a certificate in Mathematical Finance or Cryptography, aside from their undergraduate diploma. Our students may obtain a diploma secondary to their diploma in Mathematics with the Double-Major Program; as well as a certificate in their minor alongside their diploma in Mathematics through the Minor Program. Our graduates may pursue a career in academics at universities, as well as be hired in sectors such as finance, education, banking, and informatics. Our Department has been accredited by the evaluation and accreditation organization FEDEK for a duration of 5 years (until September 30th, 2025), the maximum FEDEK accreditation period achievable. Our Department is globally and nationally among the leading Mathematics departments with a program that suits international standards and a qualified academic staff; even more so for the last five years with our rankings in the field rankings of URAP, THE, USNEWS and WEBOFMETRIC.

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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.

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Doğru Akgöl, Sibel/0000-0003-3513-1046
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Doğru Akgöl, Sibel ORCID logo

Keywords

asymptotic equivalence, dynamic equations, time scales, impulsive, linear/quasilinear

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0

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52

Issue

2

Start Page

277

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291

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https://doi.org/10.15672/hujms.1103384
 https://hdl.handle.net/20.500.14411/2549

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