Asymptotic formulas for non-oscillatory solutions of perturbed half-linear Euler equation

DOI10.1016/J.NA.2007.09.017zbMath1158.34027OpenAlexW1995670981MaRDI QIDQ955637

Zuzana Pátíková

Publication date: 20 November 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.09.017

zbMATH Keywords

half-linear differential equationmodified Riccati equationhalf-linear Euler equationhalf-linear Euler-weber equation

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (7)

Asymptotic formulas for nonoscillatory solutions of conditionally oscillatory half-linear equations ⋮ Half-linear oscillation criteria: perturbation in term involving derivative ⋮ Variational technique and principal solution in half-linear oscillation criteria ⋮ Asymptotic formulae for solutions of half-linear differential equations ⋮ A precise asymptotic description of half-linear differential equations ⋮ A remark on an oscillation constant in the half-linear oscillation theory ⋮ Euler type half-linear differential equation with periodic coefficients

Cites Work

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• Perturbations of the half-linear Euler --- Weber type differential equation
• Oscillation and nonoscillation criteria for half-linear second order differential equations
• Nonoscillation theory for second order half-linear differential equations in the framework of regular variation
• Perturbations of the half-linear Euler differential equation
• Nonoscillatory half-linear differential equations and generalized Karamata functions
• A linearization method in oscillation theory of half-linear second-order differential equations
• Half-linear differential equations: linearization technique and its application
• Asymptotics of some classes of nonoscillatory solutions of second-order half-linear differential equations

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