Results 21 to 30 of about 735,542 (308)
On Constants in Nonoscillation Criteria for Half‐Linear Differential Equations [PDF]
Abstract and Applied Analysis, 2011 We study the half‐linear differential equation (r(t)Φ(x′)) ′ + c(t)Φ(x) = 0, where Φ(x) = |x|p−2x, p > 1. Using the modified Riccati technique, we derive new nonoscillation criteria for this equation. The results are closely related to the classical Hille‐Nehari criteria and allow to replace the fixed constants in known nonoscillation criteria by a ...
Simona Fišnarová, Robert Mařík
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De la Vallée Poussin type inequality and eigenvalue problem for generalized half-linear differential equation [PDF]
, 2014 We study the generalized half-linear second order differential equation via the associated Riccati type differential equation and Prufer transformation.
Libor Báňa, O. Doslý
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Sharp oscillation criteria for fourth order sub-half-linear and super-half-linear differential equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2008 This paper is concerned with the oscillatory behavior of the fourth-order nonlinear differential equation $$ \bigl(p(t)|x^{\prime\prime}|^{\alpha-1}\,x^{\prime\prime}\bigr)^{\prime\prime} +q(t)|x|^{\beta-1}x=0\,,\tag{E} $$ where $\alpha>0$, $\beta>0$ are
Jelena Manojlović, J. Milosevic
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Nonoscillatory solutions of planar half-linear differential systems: a Riccati equation approach
Electronic Journal of Qualitative Theory of Differential Equations, 2018 In this paper an attempt is made to depict a clear picture of the overall structure of nonoscillatory solutions of the first order half-linear differential system \begin{equation*} x'-p(t)\varphi_{1/\alpha}(y)=0,\qquad y'+q(t)\varphi_{\alpha}(x)=0, \tag{
Jaroslav Jaroš +2 more
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International Journal of Differential Equations, 2017 We compute explicitly the oscillation constant for Euler type half-linear second-order differential equation having multi-different periodic coefficients.
Adil Misir, Banu Mermerkaya
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Journal of Mathematical Analysis and Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
R. Mařík
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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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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 Fisnarová, Z. Pátíková
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Oscillation criteria for second order half-linear differential equations with delay [PDF]
The University Thought: Publication in Natural Sciences, 2019 The oscillation criteria of different types of differential equations are often the topic of numerous scientific papers, because their application in nuclear physics, fluid mechanics, relativistic mechanics, the study of chemical reactions in the system ...
Radica Bojičić, T. Jovanović
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Variational method and conjugacy criteria for half-linear differential equations [PDF]
Archivum Mathematicum, 2013 The authors analyse the conjugacy of the second order half-linear differential equation \[ -[r(t)\Phi (x')]'+c(t)\Phi (x) = 0, \quad \Phi (x) = |x|^{p-1} \operatorname {sgn}\,x, p>1 \] in the interval \([-a,a], a\in \mathbb {R}\) (\(r,c\) being continuous functions and \(r(t)>0\) for \(t \in [-a,a]\)).
Chvátal, Martin, Došlý, Ondřej
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