New Criteria on Oscillatory and Asymptotic Behavior of Third-Order Nonlinear Dynamic Equations with Nonlinear Neutral Terms

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2021

Authors

Özbekler, Abdullah
Alzabut, Jehad
Ozbekler, Abdullah

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Mdpi

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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

In the paper, we provide sufficient conditions for the oscillatory and asymptotic behavior of a new type of third-order nonlinear dynamic equations with mixed nonlinear neutral terms. Our theorems not only improve and extend existing theorems in the literature but also provide a new approach as far as the nonlinear neutral terms are concerned. The main results are illustrated by some particular examples.

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Alzabut, Jehad/0000-0002-5262-1138; Ozbekler, Abdullah/0000-0001-5196-4078
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Alzabut, Jehad ORCID logo
Ozbekler, Abdullah ORCID logo

Keywords

oscillation, asymptotic behavior, nonlinear neutral term, third-order dynamic equations

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4

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Q2

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Q2

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23

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2

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https://doi.org/10.3390/e23020227
 https://hdl.handle.net/20.500.14411/1921

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