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Oscillation of Even-Order Neutral Delay Differential Equations [PDF]

open access: yesAdvances in Difference Equations, 2010
By using Riccati transformation technique, we will establish some new oscillation criteria for the even order neutral delay differential equations , , where is even, , , and .
Zhao Ping   +3 more
doaj   +4 more sources

Oscillation Criteria for Qusilinear Even-Order Differential Equations

open access: yesMathematics, 2023
In this study, we extended and improved the oscillation criteria previously established for second-order differential equations to even-order differential equations. Some examples are given to demonstrate the significance of the results accomplished.
Mnaouer Kachout   +4 more
doaj   +2 more sources

New oscillation constraints for even-order delay differential equations [PDF]

open access: yesOpuscula Mathematica, 2023
The purpose of this paper is to study the oscillatory properties of solutions to a class of delay differential equations of even order. We focus on criteria that exclude decreasing positive solutions.
Osama Moaaz   +3 more
doaj   +3 more sources

Nonoscillation of higher order half-linear differential equations [PDF]

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2015
We establish nonoscillation criteria for even order half-linear differential equations. The principal tool we use is the Wirtinger type inequality combined with various perturbation techniques.
Ondrej Dosly, Vojtěch Růžička
doaj   +6 more sources

Oscillatory Behavior of Even-Order Half-Linear Neutral Differential Equations

open access: yesInternational Journal of Differential Equations, 2022
This paper discusses some sufficient conditions for oscillatory behavior of even-order half-linear neutral differential equation. An example is given to illustrate the main result.
S. Sangeetha   +2 more
doaj   +3 more sources

Oscillation Criteria for Certain Even Order Neutral Delay Differential Equations [PDF]

open access: yesInternational Journal of Differential Equations, 2014
We establish sufficient conditions for the oscillation of solutions of even order neutral type differential equations of the form [r(t)[x(t)+p(t)x(τ(t))](n−1)]′+q(t)f(x(σ(t)))=0.
Ruba Al-Hamouri, Ali Zein
doaj   +4 more sources

Periodic Solutions of a Class of Even Order Differential Equations [PDF]

open access: yes, 1996
We investigate sufficient conditions (theorem 1) for the non-existence or periodic solutions of equation (2. 1) with P=0 and sufficient conditions (theorem 2) for existence of periodic solutions of equation ( 1.1.1 )
Iyase, S.A ., Tejumola, H.O.
core   +2 more sources

Oscillation of even order linear functional differential equations with mixed deviating arguments [PDF]

open access: yesOpuscula Mathematica, 2022
In the paper, we study oscillation and asymptotic properties for even order linear functional differential equations \[y^{(n)}(t)=p(t)y(\tau(t))\] with mixed deviating arguments, i.e.
Blanka Baculikova
doaj   +1 more source

Some Oscillation Results for Even-Order Differential Equations with Neutral Term

open access: yesFractal and Fractional, 2021
The objective of this work is to study some new oscillation criteria for even-order differential equation with neutral term rxzn−1xγ′+qxyγζx=0. By using the Riccati substitution and comparison technique, several new oscillation criteria are obtained for ...
Maryam Al-Kandari, Omar Bazighifan
doaj   +1 more source

Asymptotic behavior of even-order noncanonical neutral differential equations

open access: yesDemonstratio Mathematica, 2022
In this article, we study the asymptotic behavior of even-order neutral delay differential equation (a⋅(u+ρ⋅u∘τ)(n−1))′(ℓ)+h(ℓ)u(g(ℓ))=0,ℓ≥ℓ0,{(a\cdot {(u+\rho \cdot u\circ \tau )}^{(n-1)})}^{^{\prime} }(\ell )+h(\ell )u(g(\ell ))=0,\hspace{1.0em}\ell ...
Moaaz Osama   +4 more
doaj   +1 more source

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