Oscillation of Higher Order Neutral Differential Equations

2017 ◽  
pp. 288-373
Author(s):  
L. H. Erbe ◽  
Qingkai Kong ◽  
B. G. Zhang
Keyword(s):  
Differential Equations ◽  
Higher Order ◽  
Neutral Differential Equations

Oscillation of Higher Order Delay Differential Equations of Neutral Type

2000 ◽  
Vol 7 (2) ◽  
pp. 347-353 ◽  
Author(s):  
Wei Nian Li
Keyword(s):  
Differential Equations ◽  
Delay Differential Equations ◽  
Neutral Type ◽  
Higher Order ◽  
Deviating Arguments ◽  
Neutral Differential Equations ◽  
Delay Differential

Abstract The properties of solutions of higher order neutral differential equations with distributed type deviating arguments are obtained.

scholarly journals Existence of Nonoscillatory Solutions of Higher-Order Neutral Differential Equations with Distributed Coefficients and Delays

2016 ◽  
Vol 2016 ◽  
pp. 1-7
Author(s):  
Youjun Liu ◽  
Huanhuan Zhao ◽  
Jurang Yan
Keyword(s):  
Differential Equations ◽  
Higher Order ◽  
Contraction Principle ◽  
Sufficient Condition ◽  
Nonoscillatory Solutions ◽  
Neutral Differential Equations

We consider the existence of nonoscillatory solutions of higher-order neutral differential equations with distributed coefficients. We use theBanachcontraction principle to obtain new sufficient condition for the existence of nonoscillatory solutions.

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 of even-order neutral differential equations via comparison principles

2014 ◽  
Vol 30 (3) ◽  
pp. 293-300
Author(s):  
J. DZURINA ◽  
◽  
B. BACULIKOVA ◽  
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Delay Differential Equations ◽  
Order Differential Equation ◽  
Higher Order ◽  
Comparison Principles ◽  
Neutral Differential Equations ◽  
First Order ◽  
Even Order ◽  
Delay Differential

In the paper we offer oscillation criteria for even-order neutral differential equations, where z(t) = x(t) + p(t)x(τ(t)). Establishing a generalization of Philos and Staikos lemma, we introduce new comparison principles for reducing the examination of the properties of the higher order differential equation onto oscillation of the first order delay differential equations. The results obtained are easily verifiable.

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