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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   +4 more sources

Use of the Modified Riccati Technique for Neutral Half-Linear Differential Equations [PDF]

open access: yesMathematics, 2021
We study the second-order neutral half-linear differential equation and formulate new oscillation criteria for this equation, which are obtained through the use of the modified Riccati technique. In the first statement, the oscillation of the equation is
Zuzana Pátíková, Simona Fišnarová
doaj   +4 more sources

New Oscillation Results For Third-Order Half-Linear Neutral Differential Equations [PDF]

open access: yesMathematics, 2020
The main purpose of this paper is to obtain criteria for the oscillation of all solutions of a third-order half-linear neutral differential equation.
K. S. Vidhyaa   +2 more
doaj   +3 more sources

Oscillation criteria for neutral half-linear differential equations without commutativity in deviating arguments

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2016
We study the half-linear neutral differential equation \begin{equation*} \Bigl[r(t)\Phi(z'(t))\Bigr]'+c(t)\Phi(x(\sigma(t)))=0, \qquad z(t)=x(t)+b(t)x(\tau(t)), \end{equation*} where $\Phi(t)=|t|^{p-2}t$.
Simona Fišnarová
doaj   +4 more sources

Asymptotic Behavior Criteria for Solutions Second Order Half Linear Neutral Differential Equation

open access: yesJournal of Physics: Conference Series, 2021
Abstract In this paper the we study the oscillation and asymptotic behavior of second-order Half linear neutral differential equations. some basic and necessary and sufficient condition are established for every solution of (
Sattar Naser Ketab, Banen Wafaa Abdullah
openaire   +2 more sources

Oscillation criteria for neutral second-order half-linear differential equations with applications to Euler type equations [PDF]

open access: yesBoundary Value Problems, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fišnarová, Simona, Mařík, Robert
semanticscholar   +4 more sources

Oscillation of Certain Second-Order Sub-Half-Linear Neutral Impulsive Differential Equations [PDF]

open access: yesDiscrete Dynamics in Nature and Society, 2011
By introducing auxiliary functions, we investigate the oscillation of a class of second-order sub-half-linear neutral impulsive differential equations of the form [r(t)ϕβ(z′(t))]′+p(t)ϕα(x(σ(t)))=0,  t≠θk,Δϕβ(z′(t))|t=θk+qkϕα(x(σ(θk)))=0,Δx(t)|t=θk=0 ...
Yuangong Sun
doaj   +2 more sources

More Effective Conditions for Testing the Oscillatory Behavior of Solutions to a Class of Fourth-Order Functional Differential Equations

open access: yesAxioms, 2023
This paper presents an investigation into the qualitative behavior of solutions for a specific class of fourth-order half-linear neutral differential equations.
Hail S. Alrashdi   +4 more
doaj   +2 more sources

Oscillation of higher-order half-linear neutral differential equations

open access: yesDemonstratio Mathematica, 2013
Abstract In this paper, we establish some new oscillation criteria for the higher-order half-linear neutral differential equation [
Tang, Shuhong   +2 more
openaire   +3 more sources

Oscillation of Half-Linear Differential Equations with Delay

open access: yesAbstract and Applied Analysis, 2013
We study the half-linear delay differential equation , , We establish a new a priori bound for the nonoscillatory solution of this equation and utilize this bound to derive new oscillation criteria for this equation in terms of oscillation criteria for ...
Simona Fišnarová, Robert Mařík
doaj   +2 more sources

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