Sufficient conditions for nonoscillation of neutral equations

Ján Ohriska

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Displaying similar documents to “Sufficient conditions for nonoscillation of neutral equations”

Problems with one quarter

Ján Ohriska (2005)

Czechoslovak Mathematical Journal

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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 $\int^{\infty} \frac{d t}{r (t)} < \infty$ .

Oscillation theorems for certain neutral differential equations

Said R. Grace, Bikkar S. Lalli (1988)

Czechoslovak Mathematical Journal

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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.