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Oscillatory Behavior of Even-Order Half-Linear Neutral Differential Equations
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
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Use of the Modified Riccati Technique for Neutral Half-Linear Differential Equations [PDF]
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
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New Oscillation Results For Third-Order Half-Linear Neutral Differential Equations [PDF]
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
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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
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Asymptotic Behavior Criteria for Solutions Second Order Half Linear Neutral Differential Equation
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
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Oscillation criteria for neutral second-order half-linear differential equations with applications to Euler type equations [PDF]
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Fišnarová, Simona, Mařík, Robert
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Oscillation of Certain Second-Order Sub-Half-Linear Neutral Impulsive Differential Equations [PDF]
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
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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
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Oscillation of higher-order half-linear neutral differential equations
Abstract In this paper, we establish some new oscillation criteria for the higher-order half-linear neutral differential equation [
Tang, Shuhong +2 more
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Oscillation of Half-Linear Differential Equations with Delay
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
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