Results 21 to 30 of about 1,009,185 (275)

Oscillation Criteria Enhanced for Advanced Half-Linear Dynamic Equations

Journal of Mathematics
The purpose of this study is to develop new iterative oscillation criteria for second-order half-linear advanced dynamic equations. These findings improve and extend recently established criteria for the same equation by several authors as well as ...
Taher S. Hassan, Elmetwally M. Elabbasy, Naveed Iqbal, Akbar Ali, Khudhayr A. Rashedi, Amir Abdel Menaem   +5 more
doaj   +2 more sources

Hille–Nehari type criteria and conditionally oscillatory half-linear differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2019
We study perturbations of the generalized conditionally oscillatory half-linear equation of the Riemann–Weber type. We formulate new oscillation and nonoscillation criteria for this equation and find a perturbation such that the perturbed Riemann–Weber ...
Simona Fišnarová, Zuzana Pátíková
doaj   +5 more sources

Oscillation criteria for perturbed half-linear differential equations

Electronic Journal of Qualitative Theory of Differential Equations
Oscillatory properties of perturbed half-linear differential equations are investigated. We make use of the modified Riccati technique. A certain linear differential equation associated with the modified Riccati equation plays an important part. Improved
Manabu Naito
doaj   +3 more sources

Oscillation criteria for second-order half-linear differential equations

Mathematical and Computer Modelling, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jelena Manojlovic
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Asymptotic properties for half-linear difference equations [PDF]

Mathematica Bohemica, 2006
Summary: Asymptotic properties of the half-linear difference equation \[ \Delta (a_{n}| \Delta x_{n}| ^{\alpha }\text{sgn}\, \Delta x_{n} )=b_{n}| x_{n+1}| ^{\alpha }\text{sgn}\, x_{n+1} \tag{\(*\)} \] are investigated by means of some summation criteria.
M. CECCHI, Z. DOSLA, MARINI, MAURO, I. VRKOC   +3 more
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Oscillation criteria for fourth order half-linear differential equations [PDF]

Archivum Mathematicum, 2020
In this paper, the following fourth-order differential equation \[(|y^{\prime\prime}|^{\alpha}\operatorname{sgn}(y^{\prime\prime}))^{\prime\prime}+q(t)|y|^{\alpha}\operatorname{sgn}(y)=0,\quad t\geq a>0\] is considered, where \(\alpha\) is a positive constant and \(q:[a,\infty)\to(0,\infty)\) is a continuous function.
Jaroš, Jaroslav, Takaŝi, Kusano, Tanigawa, Tomoyuki   +2 more
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A Survey on Oscillation of Impulsive Ordinary Differential Equations

Advances in Difference Equations, 2010
This paper summarizes a series of results on the oscillation of impulsive ordinary differential equations. We consider linear, half-linear, super-half-linear, and nonlinear equations. Several oscillation criteria are given. The Sturmian comparison theory
Fatma Karakoç, Ağacık Zafer, Ravi P. Agarwal   +2 more
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Oscillation criterion for Euler type half‐linear difference equations

Mathematical Methods in the Applied Sciences, 2023
We consider general classes of Euler type linear and half‐linear difference equations, which are conditionally oscillatory. Applying the adapted Riccati technique, we improve known oscillation criteria for these equations. More precisely, our presented main criterion is the full oscillatory counterpart of a non‐oscillation criterion.
Petr Hasil, Michal Veselý
openaire   +2 more sources

Reduction of order in the oscillation theory of half-linear differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2020
Oscillation of solutions of even order half-linear differential equations of the form \begin{equation*}\label{eq_Jaros} (\alpha_n,\dots,\alpha_1)x + q(t) |x|^\beta \operatorname{sgn} x = 0, \qquad t \geq a > 0, \tag{*} \end{equation*} where $\alpha_i ...
Jaroslav Jaroš
doaj   +1 more source

A convergent method for linear half-space kinetic equations [PDF]

, 2016
We give a unified proof for the well-posedness of a class of linear half-space equations with general incoming data and construct a Galerkin method to numerically resolve this type of equations in a systematic way.
Li, Qin, Lu, Jianfeng, Sun, Weiran
core   +4 more sources