Results 21 to 30 of about 1,596,954 (307)

Asymptotic Behavior of Solutions to Half-Linear q-Difference Equations [PDF]

Abstract and Applied Analysis, 2011
We derive necessary and sufficient conditions for (some or all) positive solutions of the half-linear q-difference equation Dq(Φ(Dqy(t)))+p(t)Φ(y(qt))=0, t∈{qk:k∈N0} with q>1, Φ(u)=|u|α−1sgn⁡u with α>1, to behave like
Pavel Řehák
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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
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New Oscillation Conditions for Second Order Half-Linear Advanced Difference Equations [PDF]

International Journal of Mathematical, Engineering and Management Sciences, 2019
This paper aims to establish adequate conditions that are intended for the oscillation of every solution of the second order advanced type half-linear difference equations with noncanonical form.
P. Dinakar, S. Selvarangam, E. Thandapani   +2 more
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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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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

Half-linear differential equations: Linearization technique and its application [PDF]

Journal of Mathematical Analysis and Applications, 2007
Oscillatory properties of the half-linear second-order differential equation \[ (k(t)\varphi(x'))'+c(t)\varphi(x)=0,\quad\varphi(x)=|x|^{p-2}x,\;p>1\tag{1} \] are investigated, and these properties are compared with the oscillatory behavior of a certain associated linear second-order differential equation.
Došlý, Ondřej, Ünal, Mehmet
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ON CONNECTED HALF-LINEAR DIFFERENTIAL EQUATIONS

Demonstratio Mathematica, 1999
Summary: Relations among several classes of half-linear differential equations with or without delays are established. By means of these connections, the existence of eventually positive solutions can be inferred from the properties of either one of these families of equations.
Zhang, Guang, Cheng, Sui Sun
openaire   +1 more source