Conditionally oscillatory half-linear differential equations

DOI10.1007/s10474-007-7120-4zbMath1199.34169OpenAlexW2014167750MaRDI QIDQ949875

Mehmet Ünal, Ondřej Došlý

Publication date: 21 October 2008

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-007-7120-4

zbMATH Keywords

Riccati type equationoscillation and nonoscillation criteriaconditionally oscillatory equationhalf-linear oscillation theory

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Applications of operator theory to differential and integral equations (47N20)

Related Items (10)

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 ⋮ Global asymptotic stability for damped half-linear oscillators ⋮ On constants in nonoscillation criteria for half-linear differential equations ⋮ Two-parametric conditionally oscillatory half-linear differential equations ⋮ Global attractivity for half-linear differential systems with periodic coefficients ⋮ A remark on an oscillation constant in the half-linear oscillation theory ⋮ Modified Prüfer angle and conditional oscillation of perturbed linear and half-linear differential equations ⋮ Oscillation and non-oscillation of Euler type half-linear differential equations

Cites Work

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• 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
• Half-linear differential equations: linearization technique and its application
• INTEGRAL CHARACTERIZATION OF THE PRINCIPAL SOLUTION O HALF-LINEAR SECOND ORDER DIF ERENTIAL EQUATIONS

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