Oscillation criteria for certain second order superlinear differential equations

In this paper, a class of second-order superlinear equations is studied. New oscillations criteria are established by using a general class of the parameter functions in the averaging techniques. We extend and improve the oscillation criteria of several authors. One of our results is based on the in...

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Bibliographic Details
Date:2014
Main Authors: Tiryaki, A., Oinarov, R.
Format: Article
Language:English
Published: Інститут математики НАН України 2014
Series:Нелінійні коливання
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/177106
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Oscillation criteria for certain second order superlinear differential equations / A. Tiryaki, R. Oinarov // Нелінійні коливання. — 2014. — Т. 17, № 4. — С. 533-545 — Бібліогр.: 21 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:In this paper, a class of second-order superlinear equations is studied. New oscillations criteria are established by using a general class of the parameter functions in the averaging techniques. We extend and improve the oscillation criteria of several authors. One of our results is based on the information of the whole half-line and the other is based on the information on a sequence subintervals of the whole half-line.