Oscillation of Impulsive Linear Differential Equations With Discontinuous Solutions

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OSCILLATION OF IMPULSIVE LINEARbams2023_authorver..pdf (306.74 KB)

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2023

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Cambridge University Press

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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

Sufficient conditions are obtained for the oscillation of a general form of a linear second-order differential equation with discontinuous solutions. The innovations are that the impulse effects are in mixed form and the results obtained are applicable even if the impulses are small. The novelty of the results is demonstrated by presenting an example of an oscillating equation to which previous oscillation theorems fail to apply. © The Author(s), 2022. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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Doğru Akgöl, Sibel/0000-0003-3513-1046
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Keywords

discontinuous solution, impulsive differential equation, oscillation, second-order linear differential equation

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1

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Q3

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Q3

Source

Bulletin of the Australian Mathematical Society

Volume

107

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1

Start Page

112

End Page

124

URI

https://doi.org/10.1017/S0004972722000429

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