Perturbations of the half-linear Euler --- Weber type differential equation

DOI10.1016/j.jmaa.2005.10.051zbMath1107.34030OpenAlexW2164256006WikidataQ115346299 ScholiaQ115346299MaRDI QIDQ852752

Ondřej Došlý

Publication date: 15 November 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.10.051

zbMATH Keywords

variational principleRiccati equationhalf-linear differential equationprincipal solutionEuler-Weber equation

Mathematics Subject Classification ID

Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (17)

Half-linear differential equations: linearization technique and its application ⋮ Half-linear oscillation criteria: perturbation in term involving derivative ⋮ Perturbations of half-linear Euler differential equation and transformations of modified Riccati equation ⋮ Closed‐form solutions of second‐order linear difference equations close to the self‐adjoint Euler type ⋮ Variational technique and principal solution in half-linear oscillation criteria ⋮ Critical oscillation constant for half-linear differential equations with periodic coefficients ⋮ Global asymptotic stability for damped half-linear oscillators ⋮ On constants in nonoscillation criteria for half-linear differential equations ⋮ Oscillation constants for second-order ordinary differential equations related to elliptic equations with \(p\)-Laplacian ⋮ Conditionally oscillatory half-linear differential equations ⋮ Asymptotic formulas for non-oscillatory solutions of perturbed half-linear Euler equation ⋮ Oscillation and nonoscillation of half-linear Euler type differential equations with different periodic coefficients ⋮ Global attractivity for half-linear differential systems with periodic coefficients ⋮ Modified Prüfer angle and conditional oscillation of perturbed linear and half-linear differential equations ⋮ Euler type half-linear differential equation with periodic coefficients ⋮ Two-Term Perturbations in Half-Linear Oscillation Theory ⋮ Oscillation and non-oscillation of Euler type half-linear differential equations

Cites Work

• Nonoscillation criteria for half-linear second-order difference equations
• Half-linear equations and characteristic properties of the principal solution
• Growth conditions for oscillation of nonlinear differential equations with \(p\)-Laplacian
• Perturbations of the half-linear Euler differential equation
• INTEGRAL CHARACTERIZATION OF THE PRINCIPAL SOLUTION O HALF-LINEAR SECOND ORDER DIF ERENTIAL EQUATIONS
• Perturbative Oscillation Criteria and Hardy-Type Ineqalities
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