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Displaying similar documents to “The asymptotic properties of the solutions of the n -th order neutral differential equations”

On unstable neutral differential equations of the second order

Jozef Džurina (2002)

Czechoslovak Mathematical Journal

Similarity:

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.

Comparison theorems for functional differential equations

Jozef Džurina (1994)

Mathematica Bohemica

Similarity:

In this paper the oscillatory and asymptotic properties of the solutions of the functional differential equation L n u ( t ) + p ( t ) f ( u [ g ( t ) ] ) = 0 are compared with those of the functional differential equation α n u ( t ) + q ( t ) h ( u [ w ( t ) ] ) = 0 .