scholarly journals An oscillation criterion in $4{th}$-order neutral differential equations with a continuously distributed delay

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
George E. Chatzarakis ◽  
Elmetwally M. Elabbasy ◽  
Omar Bazighifan
Keyword(s):  
Differential Equations ◽  
Distributed Delay ◽  
Oscillation Criterion ◽  
Continuously Distributed Delay ◽  
Neutral Differential Equations

scholarly journals Sufficient Conditions for Oscillation of Fourth-Order Neutral Differential Equations with Distributed Deviating Arguments

Axioms ◽  
2020 ◽  
Vol 9 (2) ◽  
pp. 39 ◽  
Author(s):  
Omar Bazighifan ◽  
Feliz Minhos ◽  
Osama Moaaz
Keyword(s):  
Differential Equations ◽  
Fourth Order ◽  
Sufficient Conditions ◽  
Distributed Delay ◽  
Deviating Arguments ◽  
Continuously Distributed Delay ◽  
Neutral Differential Equations ◽  
Distributed Deviating Arguments

Some new sufficient conditions are established for the oscillation of fourth order neutral differential equations with continuously distributed delay of the form r t N x ‴ t α ′ + ∫ a b q t , ϑ x β δ t , ϑ d ϑ = 0 , where t ≥ t 0 and N x t : = x t + p t x φ t . An example is provided to show the importance of these results.

scholarly journals A New Approach in the Study of Oscillation Criteria of Even-Order Neutral Differential Equations

Mathematics ◽  
2020 ◽  
Vol 8 (2) ◽  
pp. 197 ◽  
Author(s):  
Osama Moaaz ◽  
Jan Awrejcewicz ◽  
Omar Bazighifan
Keyword(s):  
Differential Equations ◽  
Delay Equations ◽  
Oscillation Criterion ◽  
New Approach ◽  
Oscillation Criteria ◽  
Neutral Differential Equations ◽  
First Order ◽  
Even Order ◽  
New Criterion

Based on the comparison with first-order delay equations, we establish a new oscillation criterion for a class of even-order neutral differential equations. Our new criterion improves a number of existing ones. An illustrative example is provided.

Oscillation of certain even-order neutral differential equations with distributed delay and damping term

Analysis ◽  
2007 ◽  
Vol 27 (4) ◽  
Author(s):  
Da-Xue Chen ◽  
Shu-Qing Zhou ◽  
Yu-Hua Long
Keyword(s):  
Differential Equations ◽  
Sufficient Conditions ◽  
Distributed Delay ◽  
Damping Term ◽  
Neutral Differential Equations ◽  
Even Order

SummaryIn this paper, we investigate the oscillation of certain even-order neutral differential equations with distributed delay and damping term, and obtain several classes of sufficient conditions for the oscillation of all of its solutions, which generalize some known results. We also give some examples to illustrate the applicability of our results.

scholarly journals Existence for Eventually Positive Solutions of High-Order Nonlinear Neutral Differential Equations with Distributed Delay

2012 ◽  
Vol 2012 ◽  
pp. 1-13
Author(s):  
Huanhuan Zhao ◽  
Youjun Liu ◽  
Jurang Yan
Keyword(s):  
Differential Equations ◽  
Positive Solutions ◽  
Convergence Theorem ◽  
Distributed Delay ◽  
High Order ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Neutral Differential Equations ◽  
Dominated Convergence ◽  
Necessary And Sufficient

We consider the existence for eventually positive solutions of high-order nonlinear neutral differential equations with distributed delay. We useLebesgue'sdominated convergence theorem to obtain new necessary and sufficient condition for the existence of eventually positive solutions.

Sign in / Sign up

Export Citation Format

Share Document