Oscillations of difference equations with general advanced argument

In this paper two sequences of oscillation criteria for the self-adjoint second order differential equation ${(r (t) u^{'} (t))}^{'} + p (t) u (t) = 0$ are derived. One of them deals with the case $\int^{\infty} \frac{d t}{r (t)} = \infty$ , and the other with the case $\int^{\infty} \frac{d t}{r (t)} < \infty$ .

Sufficient conditions for nonoscillation of neutral equations

Ján Ohriska (2000)

Archivum Mathematicum

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On nonoscillatory solutions of a class of nonlinear differential equations

Ján Mikunda, Jozef Rovder (1986)

Mathematica Slovaca

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A comparison theorem for linear delay differential equations

Jozef Džurina (1995)

Archivum Mathematicum

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In this paper property (A) of the linear delay differential equation $L_{n} u (t) + p (t) u (τ (t)) = 0,$ is to deduce from the oscillation of a set of the first order delay differential equations.