Asymptotic representation of solutions for second-order impulsive differential equations

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2018

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Elsevier Science inc

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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

We obtain sufficient conditions which guarantee the existence of a solution of a class of second order nonlinear impulsive differential equations with fixed moments of impulses possessing a prescribed asymptotic behavior at infinity in terms of principal and nonprincipal solutions. An example is given to illustrate the relevance of the results. (C) 2018 Elsevier Inc. All rights reserved.

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Doğru Akgöl, Sibel/0000-0003-3513-1046; Zafer, Agacik/0000-0001-8446-1223
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Doğru Akgöl, Sibel ORCID logo
Zafer, Agacik ORCID logo

Keywords

Second-order, Impulse, Differential equation, Asymptotic, Principal, Nonprincipal

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3

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Volume

333

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Start Page

53

End Page

60

URI

https://doi.org/10.1016/j.amc.2018.03.086
 https://hdl.handle.net/20.500.14411/2666

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