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.

scholarly journals Oscillation Properties for Systems of Higher-Order Partial Differential Equations with Distributed Deviating Arguments

2015 ◽  
Vol 2015 ◽  
pp. 1-9
Author(s):  
Youjun Liu ◽  
Jianwen Zhang ◽  
Jurang Yan
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Functional Differential Equations ◽  
Sufficient Conditions ◽  
Higher Order ◽  
Partial Differential ◽  
Deviating Arguments ◽  
Distributed Deviating Arguments ◽  
Functional Differential ◽  
Oscillation Properties

New sufficient conditions are obtained for oscillation for the solutions of systems of a class of higher-order quasilinear partial functional differential equations with distributed deviating arguments. The obtained results are illustrated by example.

scholarly journals Existence of nonoscillatory solutions of higher order neutral differential equations

Filomat ◽  
2016 ◽  
Vol 30 (8) ◽  
pp. 2147-2153 ◽  
Author(s):  
T. Candan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Differential Equations ◽  
Point Theorem ◽  
Sufficient Conditions ◽  
Higher Order ◽  
Nonoscillatory Solutions ◽  
Deviating Arguments ◽  
Neutral Differential Equations ◽  
Distributed Deviating Arguments

This article is concerned with nonoscillatory solutions of higher order nonlinear neutral differential equations with deviating and distributed deviating arguments. By using Knaster-Tarski fixed point theorem, new sufficient conditions are established. Illustrative example is given to show applicability of 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.

Existence of nonoscillatory solutions of higher order neutral differential equations with distributed deviating arguments

2013 ◽  
Vol 63 (1) ◽  
Author(s):  
T. Candan ◽  
R. Dahiya
Keyword(s):  
Differential Equations ◽  
Variable Coefficient ◽  
Sufficient Conditions ◽  
Higher Order ◽  
Nonoscillatory Solutions ◽  
Deviating Arguments ◽  
Neutral Differential Equations ◽  
Distributed Deviating Arguments ◽  
Banach Contraction ◽  
The Banach Contraction Principle

AbstractIn this work, we consider the existence of nonoscillatory solutions of variable coefficient higher order linear neutral differential equations with distributed deviating arguments. We use the Banach contraction principle to obtain new sufficient conditions, which are weaker than those known, for the existence of nonoscillatory solutions.

scholarly journals Existence of Nonoscillatory Solutions for System of Higher-Order Neutral Differential Equations with Distributed Deviating Arguments

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Youjun Liu ◽  
Jianwen Zhang ◽  
Jurang Yan
Keyword(s):  
Differential Equations ◽  
Sufficient Conditions ◽  
Variable Coefficients ◽  
Higher Order ◽  
Contraction Principle ◽  
Nonoscillatory Solutions ◽  
Deviating Arguments ◽  
Neutral Differential Equations ◽  
Distributed Deviating Arguments

In this paper, we consider the existence of nonoscillatory solutions for system of variable coefficients higher-order neutral differential equations with distributed deviating arguments. We use theBanachcontraction principle to obtain new sufficient conditions for the existence of nonoscillatory solutions.

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