Local estimates for modified Riccati equation in theory of half-linear differential equation [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper we study the half-linear differential equation \begin{equation*} \bigl(r(t)\Phi_p(x')\bigr)'+c(t)\Phi_p(x)=0, \end{equation*} where $\Phi_p(x)=|x|^{p-2}x$, $p>1$. Using modified Riccati technique and suitable local estimates for terms
Simona Fišnarová, Robert Marik
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Modified Riccati technique for half-linear differential equations with delay [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2014 We study the half-linear differential equation $$ (r(t)\Phi(x'(t)))'+c(t)\Phi(x(\tau(t)))=0,\quad \Phi(x):=|x|^{p-2}x,\ p>1. $$ We formulate new oscillation criteria for this equation by comparing it with a certain ordinary linear or half-linear ...
Simona Fišnarová, Robert Marik
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Hille-Nehari type oscillation and nonoscillation criteria for linear and half-linear differential equations [PDF]
MATEC Web of Conferences, 2019 Differential equations attract considerable attention in many applications. In particular, it was found out that half-linear differential equations behave in many aspects very similar to that in linear case. The aim of this contribution is to investigate
Rˇ eznícˇková Jana
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Existence and asymptotic behavior of nonoscillatory solutions of half-linear ordinary differential equations [PDF]
Opuscula Mathematica, 2023 We consider the half-linear differential equation \[(|x'|^{\alpha}\mathrm{sgn}\,x')' + q(t)|x|^{\alpha}\mathrm{sgn}\,x = 0, \quad t \geq t_{0},\] under the condition \[\lim_{t\to\infty}t^{\alpha}\int_{t}^{\infty}q(s)ds = \frac{\alpha^{\alpha}}{(\alpha+1)^
Manabu Naito
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Nonoscillation of higher order half-linear differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2015 We establish nonoscillation criteria for even order half-linear differential equations. The principal tool we use is the Wirtinger type inequality combined with various perturbation techniques.
Ondrej Dosly, Vojtěch Růžička
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Half-linear Euler differential equation and its perturbations
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We investigate oscillatory properties of perturbed half-linear Euler differential equation. We give an alternative proof (simpler and more straightforward) of the main result of [O. Došlý, H. Funková, Abstr. Appl. Anal. 2012, Art. ID 738472] and we prove
Ondrej Dosly
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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
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Half-trek criterion for generic identifiability of linear structural equation models [PDF]
, 2011 A linear structural equation model relates random variables of interest and corresponding Gaussian noise terms via a linear equation system. Each such model can be represented by a mixed graph in which directed edges encode the linear equations and ...
Draisma, Jan +2 more
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Asymptotic formulas for solutions of half-linear Euler-Weber equation
Electronic Journal of Qualitative Theory of Differential Equations, 2008 We establish improved asymptotic formulas for nonoscillatory solutions of the half-linear Euler-Weber type differential equation $$ (\Phi(x'))'+\left[\frac{\gamma_p}{t^p}+\frac{\mu_p}{t^p\log^2 t}\right]\Phi(x)=0, \quad \Phi(x):=|x|^{p-2}x,\quad p>1 ...
Zuzana Pátíková
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Perturbed generalized half-linear Riemann–Weber equation – further oscillation results
Electronic Journal of Qualitative Theory of Differential Equations, 2017 We establish new oscillation and nonoscillation criteria for the perturbed generalized Riemann–Weber half-linear equation with critical coefficients \begin{equation*} (\Phi(x'))'+\left(\frac{\gamma_p}{t^p}+\sum_{j=1}^n\frac{\mu_p}{t^p\mbox{Log}_j^2 t ...
Simona Fišnarová, Zuzana Pátíková
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