Results 31 to 40 of about 735,542 (308)
, 2016 Accurate asymptotic formulas for regularly varying solutions of the second order half-linear differential equation (|x′|αsgn x′)′ + q(t)|x|sgn x = 0, will be established explicitly, depending on the rate of decay toward zero of the function Qc(t) = t ∫ ∞
T. Kusano, J. Manojlovic
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Oscillatory Behavior of Even-Order Half-Linear Neutral Differential Equations
International Journal of Differential Equations, 2022 This paper discusses some sufficient conditions for oscillatory behavior of even-order half-linear neutral differential equation. An example is given to illustrate the main result.
S. Sangeetha +2 more
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Oscillation criteria for neutral second-order half-linear differential equations with applications to Euler type equations [PDF]
, 2014 We study the second-order neutral delay half-linear differential equation [r(t)Φ(z′(t))]′+q(t)Φ(x(σ(t)))=0, where Φ(t)=|t|α−1t, α≥1 and z(t)=x(t)+p(t)x(τ(t)).
Simona Fisnarová, R. Mařík
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Oscillation of half-linear differential equations with mixed type of argument
Electronic Journal of Qualitative Theory of Differential Equations, 2022 This paper is devoted to the study of the oscillatory behavior of half-linear functional differential equations with deviating argument of the form \begin{equation*}\label{Eabs} \left(r(t)(y'(t))^{\alpha}\right)'=p(t)y^{\alpha}(\tau(t)). \tag{$E$} \end{
Jozef Džurina, Blanka Baculíková
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Rectifiable oscillations in second-order half-linear differential equations [PDF]
Annali di Matematica Pura ed Applicata, 2008 Second-order half-linear differential equation (H): on the finite interval I = (0, 1] will be studied, where , p > 1 and the coefficient f(x) > 0 on I, , and . In case when p = 2, the equation (H) reduces to the harmonic oscillator equation (P): y′ ′ + f(x)y = 0.
Pašić, Mervan, Wong, James S. W.
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Oscillation of Second Order Nonlinear Neutral Differential Equations
Mathematics, 2022 The study of the oscillatory behavior of solutions to second order nonlinear differential equations is motivated by their numerous applications in the natural sciences and engineering.
Yingzhu Wu, Yuanhong Yu, Jinsen Xiao
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Mathematics, 2021 In this paper, we study oscillation and asymptotic properties for half-linear second order differential equations with mixed argument of the form r(t)(y′(t))α′=p(t)yα(τ(t)).
B. Baculíková
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Use of the Modified Riccati Technique for Neutral Half-Linear Differential Equations
Mathematics, 2021 We study the second-order neutral half-linear differential equation and formulate new oscillation criteria for this equation, which are obtained through the use of the modified Riccati technique. In the first statement, the oscillation of the equation is
Z. Pátíková, Simona Fisnarová
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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
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The Bohl spectrum for nonautonomous differential equations [PDF]
, 2016 We develop the Bohl spectrum for nonautonomous linear differential equation on a half line, which is a spectral concept that lies between the Lyapunov and the Sacker--Sell spectrum.
Doan, Thai Son +2 more
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