Oscillation of second‐order neutral differential equations

T Li, YV Rogovchenko - Mathematische Nachrichten, 2015 - Wiley Online Library
We study oscillatory behavior of a class of second‐order neutral differential equations under
the assumptions that allow applications to differential equations with both delayed and …

[HTML][HTML] Oscillation theorems for second-order nonlinear neutral differential equations

B Baculíková, J Džurina - Computers & Mathematics with Applications, 2011 - Elsevier
The purpose of this paper is to study the oscillation of the second-order neutral differential
equations of the form where z (t)= x (t)+ p (t) x (τ (t)). We explore properties of given …

An improved approach for studying oscillation of second-order neutral delay differential equations

SR Grace, J Džurina, I Jadlovská, T Li - Journal of inequalities and …, 2018 - Springer
The paper is devoted to the study of oscillation of solutions to a class of second-order half-
linear neutral differential equations with delayed arguments. New oscillation criteria are …

Sharp oscillation criteria for second‐order neutral delay differential equations

M Bohner, SR Grace, I Jadlovská - Mathematical Methods in …, 2020 - Wiley Online Library
This paper is a continuation of a recent work by the authors on the oscillatory properties of
second‐order half‐linear neutral delay differential equations. Providing a new apriori bound …

[HTML][HTML] New criteria for sharp oscillation of second-order neutral delay differential equations

I Jadlovská - Mathematics, 2021 - mdpi.com
In this paper, new oscillation criteria for second-order half-linear neutral delay differential
equations are established, using a recently developed method of iteratively improved …

Oscillation results for second-order nonlinear neutral differential equations

T Li, YV Rogovchenko, C Zhang - Advances in difference equations, 2013 - Springer
We obtain several oscillation criteria for a class of second-order nonlinear neutral differential
equations. New theorems extend a number of related results reported in the literature and …

Oscillation criteria for second order Emden-Fowler functional differential equations of neutral type

Y Wu, Y Yu, J Zhang, J **ao - Journal of Inequalities and Applications, 2016 - Springer
In this article, some new oscillation criterion for the second order Emden-Fowler functional
differential equation of neutral type (r (t)| z′(t)| α− 1 z′(t))′+ q (t)| x (σ (t))| β− 1 x (σ (t)) …

[PDF][PDF] Oscillation behavior of second order nonlinear neutral differential equations with deviating arguments

EM Elabbasy, TS Hassan, O Moaaz - Opuscula Mathematica, 2012 - yadda.icm.edu.pl
OSCILLATION BEHAVIOR OF SECOND ORDER NONLINEAR NEUTRAL DIFFERENTIAL
EQUATIONS WITH DEVIATING ARGUMENTS Elmetwally M. Elabbasy, T Page 1 Opuscula …

Oscillatory behaviour of third order nonlinear differential equations with a nonlinear nonpositive neutral term

SR Grace, JR Graef, E Tunç - Journal of Taibah University for …, 2019 - Taylor & Francis
The authors present some new oscillation criteria for third order nonlinear differential
equations with a nonlinear nonpositive neutral term. The results obtained are new and …

[HTML][HTML] Oscillation of solutions to fourth-order delay differential equations with middle term

EM Elabbasy, E Thandpani, O Moaaz, O Bazighifan - Open J. Math. Sci, 2019 - pisrt.org
This work is concerned with the oscillatory behavior of fourth-order delay differential
equation with middle term. By using the generalized Riccati transformations and new …