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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
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.
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
Linking options:
https://www.mathnet.ru/eng/umj48 https://www.mathnet.ru/eng/umj/v3/i2/p122
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