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Ural Mathematical Journal, 2017, Volume 3, Issue 2, Pages 122–129
DOI: https://doi.org/10.15826/umj.2017.2.013
(Mi umj48)
 

This article is cited in 8 scientific papers (total in 8 papers)

On the oscillation of a third order nonlinear differential equations with neutral type

V. Ganesana, M. Sathish Kumarb

a Department of Mathematics, Aringar Anna Government Arts College, Namakkal, Tamilnadu, India
b Department of Mathematics, Paavai Engineering College (Autonomous), Namakkal, Tamilnadu, India
Full-text PDF (111 kB) Citations (8)
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Abstract: In this article, we investigate the oscillation behavior of the solutions of the third-order nonlinear differential equation with neural type of the form
$$ \Big(a_{1}(t)\big(a_{2}(t)Z^{\prime}(t)\big)^{\prime}\Big)^{\prime} + q(t) f\big(x(\sigma(t))\big) = 0, \quad t\geq t_0 > 0, $$
where $Z(t) := x(t)+p(t)x^{\alpha}(\tau(t))$. Some new oscillation results are presented that extend those results given in the literature.
Keywords: Oscillation, Non-linear, Neutral differential equation, Third order.
Bibliographic databases:
Document Type: Article
Language: English
Citation: V. Ganesan, M. Sathish Kumar, “On the oscillation of a third order nonlinear differential equations with neutral type”, Ural Math. J., 3:2 (2017), 122–129
Citation in format AMSBIB
\Bibitem{GanKum17}
\by V.~Ganesan, M.~Sathish~Kumar
\paper On the oscillation of a third order nonlinear differential equations with neutral type
\jour Ural Math. J.
\yr 2017
\vol 3
\issue 2
\pages 122--129
\mathnet{http://mi.mathnet.ru/umj48}
\crossref{https://doi.org/10.15826/umj.2017.2.013}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=MR3746957}
\elib{https://elibrary.ru/item.asp?id=32334104}
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  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Ural Mathematical Journal
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