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On the oscillation of a third order nonlinear differential equations with neutral type. (English) Zbl 1452.34073

Summary: 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.

MSC:

34K11 Oscillation theory of functional-differential equations
34K40 Neutral functional-differential equations
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References:

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