Interval criteria for the forced oscillation of super-half-linear differential equations under impulse effects

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2009

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Pergamon-elsevier Science Ltd

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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 this paper, we derive new interval oscillation criteria for a forced super-half-linear impulsive differential equation having fixed moments of impulse actions. The results are extended to a more general class of nonlinear impulsive differential equations. Examples are also given to illustrate the relevance of the results. (C) 2009 Elsevier Ltd. All rights reserved.

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Zafer, Agacik/0000-0001-8446-1223; Ozbekler, Abdullah/0000-0001-5196-4078
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Zafer, Agacik ORCID logo
Ozbekler, Abdullah ORCID logo

Keywords

Forced, Super-half-linear, Interval criteria, Oscillation, Impulse

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19

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Volume

50

Issue

1-2

Start Page

59

End Page

65

URI

https://doi.org/10.1016/j.mcm.2008.10.020
 https://hdl.handle.net/20.500.14411/1503

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