Oscillation of third-order functional differential equations.

Baculikova, B.; Dzurina, J.

Displaying similar documents to “Oscillation of third-order functional differential equations.”

Oscillation criteria for a certain second-order nonlinear differential equations with deviating arguments.

Tiryaki, Aydin (2009)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Similarity:

Oscillation theorems for certain even order neutral differential equations

Qi Gui Yang, Sui-Sun Cheng (2007)

Archivum Mathematicum

Similarity:

This paper is concerned with a class of even order nonlinear differential equations of the form $\frac{d}{d t} (| {(x (t) + p (t) x (τ (t)))}^{(n - 1)} |^{α - 1} {(x (t) + p (t) x (τ (t)))}^{(n - 1)}) + F (t, x (g (t))) = 0,$ where $n$ is even and $t \geq t_{0}$ . By using the generalized Riccati transformation and the averaging technique, new oscillation criteria are obtained which are either extensions of or complementary to a number of existing results. Our results are more general and sharper than some previous results even for second order equations.

A necessary and sufficient condition for the oscillation in a class of even order neutral differential equations.

Tanaka, Satoshi (2000)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Similarity:

Oscillation criteria of third-order nonlinear delay differential equations

Samir H. Saker (2006)

Mathematica Slovaca

Similarity:

Oscillation of second order neutral delay differential equations

J. Džurina, D. Hudáková (2009)

Mathematica Bohemica

Similarity:

We establish some new oscillation criteria for the second order neutral delay differential equation ${[r (t) | [x (t) + p (t) x [τ (t)]]}^{'} {|^{α - 1} {[x (t) + p (t) x [τ (t)]]}^{'}]}^{'} + q (t) f (x [σ (t)]) = 0 .$ The obtained results supplement those of Dzurina and Stavroulakis, Sun and Meng, Xu and Meng, Baculíková and Lacková. We also make a slight improvement of one assumption in the paper of Xu and Meng.