Solutions of Riemann–Weber type half-linear differential equation [PDF]
Archivum Mathematicum, 2017 The author considers the Riemann-Weber type half-linear equation of the form \[(r(t)\Phi(x'))'+\left(c(t)+\frac{\mu}{h^p(t)(\int^t R^{-1}(s)ds)^2R(t)}\right)\Phi(x)=0,\] which is understood as a perturbation of the equation \((r(t)\Phi(x'))'+c(t)\Phi(x)=0\).
Došlý, Ondřej
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Conjugacy Criteria for the Half-Linear Second Order Differential Equation [PDF]
Rocky Mountain Journal of Mathematics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abd-Alla, M.Z., Abu-Risha, M.H.
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New Oscillation Results For Third-Order Half-Linear Neutral Differential Equations
Mathematics, 2020 The main purpose of this paper is to obtain criteria for the oscillation of all solutions of a third-order half-linear neutral differential equation.
K. S. Vidhyaa +2 more
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Critical Oscillation Constant for Euler Type Half-Linear Differential Equation Having Multi-Different Periodic Coefficients [PDF]
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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Oscillation criteria for second-order half-linear differential equations
Mathematical and Computer Modelling, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The oscillation of half-linear differential equations with an oscillatory coefficient
Mathematical and Computer Modelling, 1996 The authors derive lower bounds for the distance between consecutive zeros of a solution of the second-order half-linear differential equation \[ \Bigl(| y'(t)| ^{\alpha -1}y'(t)\Bigr)'+q(t)| y(t)| ^{\alpha -1}y(t)=0, \tag{*} \] where \(q(t):[t_0,\infty)\to\mathbb{R}\) is locally integrable for some \(t_0\geq 0\) and \(\alpha >0\) is a constant.
Hong, Huei-Lin +2 more
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On linear systems and τ functions associated with Lamé's equation and Painlevé's equation VI. [PDF]
, 2011 Painleve's transcendental differential equation PVI may be expressed as the consistency condition for a pair of linear differential equations with 2 by 2 matrix coefficients with rational entries.
Blower, Gordon
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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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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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