Oscillation criteria for certain even order quasi-linear neutral differential equations with deviating arguments

2007 ◽  
Vol 190 (1) ◽  
pp. 458-464 ◽  
Author(s):  
Fanwei Meng ◽  
Run Xu
Keyword(s):  
Differential Equations ◽  
Deviating Arguments ◽  
Oscillation Criteria ◽  
Neutral Differential Equations ◽  
Even Order

scholarly journals Oscillation Criteria of Higher-order Neutral Differential Equations with Several Deviating Arguments

Mathematics ◽  
2020 ◽  
Vol 8 (3) ◽  
pp. 412 ◽  
Author(s):  
Osama Moaaz ◽  
Ioannis Dassios ◽  
Omar Bazighifan
Keyword(s):  
Differential Equations ◽  
Higher Order ◽  
Oscillatory Behavior ◽  
Riccati Transformation ◽  
Deviating Arguments ◽  
Oscillation Criteria ◽  
Neutral Differential Equations ◽  
Second Order Differential Equations ◽  
Type Criterion ◽  
Even Order

This work is concerned with the oscillatory behavior of solutions of even-order neutral differential equations. By using the technique of Riccati transformation and comparison principles with the second-order differential equations, we obtain a new Philos-type criterion. Our results extend and improve some known results in the literature. An example is given to illustrate our main results.

scholarly journals Oscillatory Properties of Solutions of Even-Order Differential Equations

Symmetry ◽  
2020 ◽  
Vol 12 (2) ◽  
pp. 212 ◽  
Author(s):  
Elmetwally M. Elabbasy ◽  
Rami Ahmad El-Nabulsi ◽  
Osama Moaaz ◽  
Omar Bazighifan
Keyword(s):  
Differential Equations ◽  
Oscillatory Behavior ◽  
Riccati Transformation ◽  
Averaging Technique ◽  
Oscillation Criteria ◽  
Neutral Differential Equations ◽  
Integral Averaging Technique ◽  
Even Order ◽  
Oscillatory Properties

This work is concerned with the oscillatory behavior of solutions of even-order neutral differential equations. By using Riccati transformation and the integral averaging technique, we obtain a new oscillation criteria. This new theorem complements and improves some known results from the literature. An example is provided to illustrate the main results.

Improved oscillation criteria for even-order neutral differential equations

Analysis ◽  
2021 ◽  
Vol 0 (0) ◽  
Author(s):  
George E. Chatzarakis ◽  
Irena Jadlovská ◽  
Ercan Tunç
Keyword(s):  
Differential Equations ◽  
Sufficient Conditions ◽  
Future Research ◽  
Oscillation Criteria ◽  
Neutral Differential Equations ◽  
All Solutions ◽  
Even Order ◽  
Appl Math

Abstract New sufficient conditions for the oscillation of all solutions to a class of even-order differential equations with bounded and unbounded neutral coefficients are established, which refine, significantly simplify and generalize those in [T. Li and Y. V. Rogovchenko, Oscillation criteria for even-order neutral differential equations, Appl. Math. Lett. 61 2016, 35–41]. Examples are provided to illustrate the results and suggestions for future research are included.

scholarly journals Improved Oscillation Criteria for 2nd-Order Neutral Differential Equations with Distributed Deviating Arguments

Mathematics ◽  
2020 ◽  
Vol 8 (5) ◽  
pp. 849
Author(s):  
Osama Moaaz ◽  
Rami Ahmad El-Nabulsi ◽  
Waad Muhsin ◽  
Omar Bazighifan
Keyword(s):  
Differential Equations ◽  
Sufficient Conditions ◽  
Second Order ◽  
Deviating Arguments ◽  
Oscillation Criteria ◽  
Comparison Principles ◽  
Neutral Differential Equations ◽  
Distributed Deviating Arguments ◽  
Oscillation Of Solutions

In this study, we establish new sufficient conditions for oscillation of solutions of second-order neutral differential equations with distributed deviating arguments. By employing a refinement of the Riccati transformations and comparison principles, we obtain new oscillation criteria that complement and improve some results reported in the literature. Examples are provided to illustrate the main results.

Oscillation Properties of Even Order Neutral Differential Equations with Deviating Arguments

2000 ◽  
Vol 7 (4) ◽  
pp. 745-752
Author(s):  
Wei Nian Li
Keyword(s):  
Differential Equations ◽  
Sufficient Conditions ◽  
Deviating Arguments ◽  
Neutral Differential Equations ◽  
Even Order ◽  
Oscillation Properties

Abstract Sufficient conditions are established for the oscillation of even order neutral differential equations with deviating arguments of the form where n ≥ 2 is an even integer. These results are illustrated by some examples.

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