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

Kikina, L.K.; Stavroulakis, I.P.

Displaying similar documents to “Oscillation criteria for second-order delay, difference, and functional equations.”

Unbounded oscillation of the second-order neutral differential equations

Jozef Džurina (2001)

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.

Oscillation criteria for second-order superlinear neutral differential equations.

Li, Tongxing, Han, Zhenlai, Zhang, Chenghui, Li, Hua (2011)

Abstract and Applied Analysis

Similarity:

Oscillation of even-order neutral delay differential equations.

Li, Tongxing, Han, Zhenlai, Zhao, Ping, Sun, Shurong (2010)

Advances in Difference Equations [electronic only]

Similarity:

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

Baculíková, B., Džurina, J. (2010)

Advances in Difference Equations [electronic only]

Similarity:

On the oscillation of second-order neutral delay differential equations.

Han, Zhenlai, Li, Tongxing, Sun, Shurong, Chen, Weisong (2010)

Advances in Difference Equations [electronic only]

Similarity:

Oscillation criteria for certain second-order nonlinear neutral differential equations of mixed type.

Han, Zhenlai, Li, Tongxing, Zhang, Chenghui, Sun, Ying (2011)

Abstract and Applied Analysis

Similarity:

Oscillation of second-order neutral functional differential equations with mixed nonlinearities.

Sun, Shurong, Li, Tongxing, Han, Zhenlai, Sun, Yibing (2011)

Abstract and Applied Analysis

Similarity:

Oscillation of higher-order neutral-type periodic differential equations with distributed arguments.

Dahiya, R.S., Zafer, A. (2007)

Journal of Inequalities and Applications [electronic only]

Similarity:

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.