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ЖУРНАЛЫ // Ural Mathematical Journal // Архив

Ural Math. J., 2017, том 3, выпуск 2, страницы 122–129 (Mi umj48)

Эта публикация цитируется в 8 статьях

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

Аннотация: 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.

Ключевые слова: Oscillation, Non-linear, Neutral differential equation, Third order.

Язык публикации: английский

DOI: 10.15826/umj.2017.2.013



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