Results 11 to 20 of about 1,458,239 (269)

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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Half-linear Euler differential equation and its perturbations [PDF]

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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Perturbed generalized half-linear Riemann–Weber equation – further oscillation results [PDF]

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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Oscillation of Half-Linear Differential Equations with Delay [PDF]

Abstract and Applied Analysis, 2013
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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Euler Type Half-Linear Differential Equation with Periodic Coefficients [PDF]

Abstract and Applied Analysis, 2013
We investigate oscillatory properties of the perturbed half-linear Euler differential equation. We show that the results of the recent paper by O. Došlý and H.
Ondřej Došlý, Hana Funková
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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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Generalized discrete Riccati equation and oscillation of half-linear difference equations

Mathematical and Computer Modelling, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pavel Rehak
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Perturbations of Half-Linear Euler Differential Equation and Transformations of Modified Riccati Equation

Abstract and Applied Analysis, 2012
We investigate transformations of the modified Riccati differential equation and the obtained results we apply in the investigation of oscillatory properties of perturbed half-linear Euler differential equation.
Ondřej Došlý, Hana Funková
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Two-Parametric Conditionally Oscillatory Half-Linear Differential Equations [PDF]

Abstract and Applied Analysis, 2011
We study perturbations of the nonoscillatory half-linear differential equation (r(t)Φ(x'))'+c(t)Φ(x)=0, Φ(x):=|x|p-2x, p>1. We find explicit formulas for the functions r̂, ĉ such that the equation [(r(t)+λr̂(t))Φ(x')]'+[c(t)+μĉ(t)]Φ(x)=0 is ...
Ondřej Došlý, Simona Fišnarová
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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
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