scholarly journals Oscillatory and asymptotic properties of higher-order quasilinear neutral differential equations

2021 ◽  
Vol 6 (10) ◽  
pp. 11124-11138
Author(s):  
Clemente Cesarano ◽  
◽  
Osama Moaaz ◽  
Belgees Qaraad ◽  
Ali Muhib ◽  
...  
Keyword(s):  
Differential Equations ◽  
Asymptotic Properties ◽  
Higher Order ◽  
Riccati Transformation ◽  
Oscillation Criteria ◽  
Neutral Differential Equations ◽  
Odd Order ◽  
Several Delays ◽  
New Criteria

<abstract><p>The objective of this paper is to study the oscillation criteria for odd-order neutral differential equations with several delays. We establish new oscillation criteria by using Riccati transformation. Our new criteria are interested in complementing and extending some results in the literature. An example is considered to illustrate our results.</p></abstract>

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 New oscillation criteria for second-order neutral differential equations with distributed deviating arguments

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Osama Moaaz ◽  
Choonkil Park ◽  
Elmetwally M. Elabbasy ◽  
Waed Muhsin
Keyword(s):  
Differential Equations ◽  
Second Order ◽  
The Other ◽  
Riccati Transformation ◽  
Transformation Technique ◽  
Deviating Arguments ◽  
Neutral Differential Equations ◽  
Second Order Differential Equations ◽  
Continuous Delay ◽  
New Criteria

AbstractIn this work, we create new oscillation conditions for solutions of second-order differential equations with continuous delay. The new criteria were created based on Riccati transformation technique and comparison principles. Furthermore, we obtain iterative criteria that can be applied even when the other criteria fail. The results obtained in this paper improve and extend the relevant previous results as illustrated by examples.

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.

scholarly journals Delay Differential Equations of Fourth-Order: Oscillation and Asymptotic Properties of Solutions

Symmetry ◽  
2021 ◽  
Vol 13 (11) ◽  
pp. 2015
Author(s):  
Omar Bazighifan ◽  
Maryam Al-Kandari ◽  
Khalil S. Al-Ghafri ◽  
F. Ghanim ◽  
Sameh Askar ◽  
...  
Keyword(s):  
Differential Equations ◽  
Canonical Form ◽  
Fourth Order ◽  
Delay Differential Equations ◽  
Essential Role ◽  
Asymptotic Properties ◽  
Comparison Method ◽  
Riccati Transformation ◽  
Oscillation Criteria ◽  
Delay Differential

In this work, by using the comparison method and Riccati transformation, we obtain some oscillation criteria of solutions of delay differential equations of fourth-order in canonical form. These criteria complement those results in the literature. We give two examples to illustrate the main results. Symmetry plays an essential role in determining the correct methods for solutions to differential equations.

scholarly journals New Aspects for Non-Existence of Kneser Solutions of Neutral Differential Equations with Odd-Order

Mathematics ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 494 ◽  
Author(s):  
Osama Moaaz ◽  
Dumitru Baleanu ◽  
Ali Muhib
Keyword(s):  
Differential Equations ◽  
Asymptotic Properties ◽  
Sufficient Conditions ◽  
Neutral Differential Equations ◽  
Odd Order ◽  
All Solutions

Some new oscillatory and asymptotic properties of solutions of neutral differential equations with odd-order are established. Through the new results, we give sufficient conditions for the oscillation of all solutions of the studied equations, and this is an improvement of the relevant results. The efficiency of the obtained criteria is illustrated via example.

scholarly journals Some New Oscillation Criteria for Second Order Neutral Differential Equations with Delayed Arguments

Mathematics ◽  
2019 ◽  
Vol 7 (7) ◽  
pp. 619 ◽  
Author(s):  
Omar Bazighifan ◽  
Clemente Cesarano
Keyword(s):  
Differential Equations ◽  
Second Order ◽  
Riccati Transformation ◽  
Oscillation Criteria ◽  
Neutral Differential Equations ◽  
Delayed Arguments

In this paper, we study the oscillation of second-order neutral differential equations with delayed arguments. Some new oscillatory criteria are obtained by a Riccati transformation. To illustrate the importance of the results, one example is also given.

scholarly journals Neutral Delay Differential Equations: Oscillation Conditions for the Solutions

Symmetry ◽  
2021 ◽  
Vol 13 (1) ◽  
pp. 101
Author(s):  
Omar Bazighifan ◽  
Hammad Alotaibi ◽  
Abd Allaah A. Mousa
Keyword(s):  
Differential Equations ◽  
Fourth Order ◽  
Asymptotic Properties ◽  
Neutral Delay ◽  
Neutral Differential Equations ◽  
First Order ◽  
Theoretical Support ◽  
Neutral Delay Differential Equations ◽  
Delay Differential ◽  
New Criteria

The purpose of this article is to explore the asymptotic properties for a class of fourth-order neutral differential equations. Based on a comparison with the differential inequality of the first-order, we have provided new oscillation conditions for the solutions of fourth-order neutral differential equations. The obtained results can be used to develop and provide theoretical support for and to further develop the study of oscillation for a class of fourth-order neutral differential equations. Finally, we provide an illustrated example to demonstrate the effectiveness of our new criteria.

scholarly journals Oscillatory Criteria for Higher Order Functional Differential Equations with Damping

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Peiguang Wang ◽  
Hai Cai
Keyword(s):  
Differential Equations ◽  
Functional Differential Equations ◽  
Higher Order ◽  
Riccati Transformation ◽  
Averaging Technique ◽  
Oscillation Criteria ◽  
Integral Averaging Technique ◽  
Generalized Riccati Transformation ◽  
Functional Differential

We investigate a class of higher order functional differential equations with damping. By using a generalized Riccati transformation and integral averaging technique, some oscillation criteria for the differential equations are established.

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