Displaying similar documents to “Oscillation of the solutions of neutral impulsive differential-difference equations of first order.”

Eventually positive solutions for nonlinear impulsive differential equations with delays

Shao Yuan Huang, Sui Sun Cheng (2012)

Annales Polonici Mathematici

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Several recent oscillation criteria are obtained for nonlinear delay impulsive differential equations by relating them to linear delay impulsive differential equations or inequalities, and then comparison and oscillation criteria for the latter are applied. However, not all nonlinear delay impulsive differential equations can be directly related to linear delay impulsive differential equations or inequalities. Moreover, standard oscillation criteria for linear equations cannot be applied...

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.