Oscillation of unstable second order neutral differential equations with mixed argument

Jozef Džurina; Viktor Pirč

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Displaying similar documents to “Oscillation of unstable second order neutral differential equations with mixed argument”

On unstable neutral differential equations of the second order

Jozef Džurina (2002)

Czechoslovak Mathematical Journal

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The aim of this paper is to present sufficient conditions for all bounded solutions of the second order neutral differential equation ${(x (t) - p x (t - τ))}^{''} - q (t) x (σ (t)) = 0$ to be oscillatory and to improve some existing results. The main results are based on the comparison principles.

Oscillatory behaviour of a higher order nonlinear neutral delay type functional differential equation with oscillating coefficients

Yaşar Bolat, Ömer Akin (2005)

Czechoslovak Mathematical Journal

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In this paper we are concerned with the oscillation of solutions of a certain more general higher order nonlinear neutral type functional differential equation with oscillating coefficients. We obtain two sufficient criteria for oscillatory behaviour of its solutions.