Necessary and sufficient conditions for the oscillation of delay differential equations with a piecewise constant argument.

Agwo, H.A.

Skip to main content (access key 's'), Skip to navigation (access key 'n'), Accessibility information (access key '0')

Displaying similar documents to “Necessary and sufficient conditions for the oscillation of delay differential equations with a piecewise constant argument.”

Oscillation of the third order Euler differential equation with delay

Blanka Baculíková, Jozef Džurina (2014)

Mathematica Bohemica

Similarity:

In the paper we offer criteria for oscillation of the third order Euler differential equation with delay $y^{'''} (t) + \frac{k^{2}}{t^{3}} y (c t) = 0 .$ We provide detail analysis of the properties of this equation, we fill the gap in the oscillation theory and provide necessary and sufficient conditions for oscillation of equation considered.

Unbounded oscillation of the second-order neutral differential equations

Jozef Džurina (2001)

Mathematica Slovaca

Similarity:

Oscillation criteria for second-order delay, difference, and functional equations.

Kikina, L.K., Stavroulakis, I.P. (2010)

International Journal of Differential Equations

Similarity:

Comparison and oscillation results for delay difference equations with oscillating coefficients.

Yan, Weiping, Yan, Jurang (1996)

International Journal of Mathematics and Mathematical Sciences

Similarity:

Comparison theorems for the third-order delay trinomial differential equations.

Baculíková, B., Džurina, J. (2010)

Advances in Difference Equations [electronic only]

Similarity:

Oscillation theorems for certain neutral differential equations

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

Czechoslovak Mathematical Journal

Similarity:

Oscillation criteria in neutral equations of $n$ -order with variable coefficients.

Georgiou, D.A., Qian, C. (1991)

International Journal of Mathematics and Mathematical Sciences

Similarity:

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.