Half-linear oscillation criteria: perturbation in term involving derivative

DOI10.1016/j.na.2010.07.049zbMath1207.34041OpenAlexW1989073501MaRDI QIDQ607092

Ondřej Došlý, Simona Fišnarová

Publication date: 19 November 2010

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.2010.07.049

zbMATH Keywords

linearization methodhalf-linear differential equationRiccati techniqueoscillation and nonoscillation criteriaperturbation principle

Mathematics Subject Classification ID

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

Related Items (10)

Oscillatory properties of half-linear difference equations: two-term perturbations ⋮ Perturbations of half-linear Euler differential equation and transformations of modified Riccati equation ⋮ A remark on connection between conjugacy of half-linear differential equation and equation with mixed nonlinearities ⋮ Variational technique and principal solution in half-linear oscillation criteria ⋮ Half-linear ODE and modified Riccati equation: comparison theorems, integral characterization of principal solution ⋮ 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 ⋮ Euler type half-linear differential equation with periodic coefficients ⋮ Two-Term Perturbations in Half-Linear Oscillation Theory

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• INTEGRAL CHARACTERIZATION OF THE PRINCIPAL SOLUTION O HALF-LINEAR SECOND ORDER DIF ERENTIAL EQUATIONS

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