ON THE OSCILLATION OF DISCRETE VOLTERRA EQUATIONS WITH POSITIVE AND NEGATIVE NONLINEARITIES

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2018

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Rocky Mt Math Consortium

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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 give new oscillation criteria for discrete Volterra equations having different nonlinearities such as super-linear and sub-linear cases. We also present some new sufficient conditions for oscillation under the effect of the oscillatory forcing term.

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Oscillation, discrete Volterra equation, super-linear, sub-linear, forcing term

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0

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Volume

30

Issue

4

Start Page

577

End Page

591

URI

https://doi.org/10.1216/JIE-2018-30-4-577
 https://hdl.handle.net/20.500.14411/2806

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