Displaying similar documents to “Oscillation of a higher order neutral differential equation with a sub-linear delay term and positive and negative coefficients”

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.

Oscillation theorems for neutral differential equations of higher order

Jozef Džurina (2004)

Czechoslovak Mathematical Journal

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In this paper we present some new oscillatory criteria for the n -th order neutral differential equations of the form ( x ( t ) ± p ( t ) x [ τ ( t ) ] ) ( n ) + q ( t ) x [ σ ( t ) ] = 0 . The results obtained extend and improve a number of existing criteria.