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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

Integral criteria for second-order linear oscillation [PDF]

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2006
We present several new criteria for the oscillation of the second-order linear equation $ y''(t)+q(t)y(t)=0 $, in which the coefficient $ q $ may or may not change signs. The criteria involve the integral $ \int t^\gamma q(t)\, dt $ for some $ \gamma >0
Man Kam Kwong
doaj   +3 more sources

Oscillation Criteria for Nonlinear Fractional Differential Equations

open access: yesJournal of Applied Mathematics, 2013
Several oscillation criteria are established for nonlinear fractional differential equations of the form at(rtD-αxt)′η′-Ft, ∫t∞v-t-αxvdv=0, where D-αx is the Liouville right-side fractional derivative of order α∈(0, 1) of x and η is a quotient of two ...
Run Xu
doaj   +5 more sources

Oscillation criteria for linear difference equations with several variable delays [PDF]

open access: yesOpuscula Mathematica, 2021
We obtain new sufficient criteria for the oscillation of all solutions of linear delay difference equations with several (variable) finite delays. Our results relax numerous well-known limes inferior-type oscillation criteria from the literature by ...
Vasileios Benekas   +3 more
doaj   +4 more sources

Some Important Criteria for Oscillation of Non-Linear Differential Equations with Middle Term

open access: yesMathematics, 2021
In this work, we present new oscillation conditions for the oscillation of the higher-order differential equations with the middle term. We obtain some oscillation criteria by a comparison method with first-order equations.
Saad Althobati   +2 more
doaj   +1 more source

Oscillation criteria for even order neutral difference equations [PDF]

open access: yesOpuscula Mathematica, 2019
In this paper, we present some new sufficient conditions for oscillation of even order nonlinear neutral difference equation of the form \[\Delta^m(x_n+ax_{n-\tau_1}+bx_{n+\tau_2})+p_nx_{n-\sigma_1}^{\alpha}+q_nx_{n+\sigma_2}^{\beta}=0,\quad n\geq n_0 ...
S. Selvarangam   +3 more
doaj   +1 more source

Oscillation criteria for nonlinear differential equations with $p(t)$-Laplacian [PDF]

open access: yesMathematica Bohemica, 2016
Recently there has been an increasing interest in studying $p(t)$-Laplacian equations, an example of which is given in the following form (|u'(t)|^{p(t)-2}u'(t))'+c(t)|u(t)|^{q(t)-2}u(t)= 0, \quad t>0.
Yutaka Shoukaku
doaj   +1 more source

Oscillation criteria for third-order delay differential equations

open access: yesAdvances in Difference Equations, 2017
The objective in this paper is to study the oscillatory and asymptotic behavior of the solutions of a linear third-order delay differential equation of the form ( r 2 ( t ) ( r 1 ( t ) y ′ ( t ) ) ′ ) ′ + q ( t ) y ( τ ( t ) ) = 0 .
George E Chatzarakis   +2 more
doaj   +1 more source

Oscillation Criteria of Solutions of Fourth-Order Neutral Differential Equations

open access: yesFractal and Fractional, 2021
In this paper, we study the oscillation of solutions of fourth-order neutral delay differential equations in non-canonical form. By using Riccati transformation, we establish some new oscillation conditions.
Alanoud Almutairi   +4 more
doaj   +1 more source

Self-Sustained Turn-Off Oscillation of SiC MOSFETs: Origin, Instability Analysis, and Prevention

open access: yesEnergies, 2019
This paper presents a comprehensive investigation on the self-sustained oscillation of silicon carbide (SiC) MOSFETs. At first, based on the double pulse switching test, it is identified that the self-sustained oscillation of SiC MOSFETs can be triggered
Peng Xue   +4 more
doaj   +1 more source

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