Variational technique and principal solution in half-linear oscillation criteria

DOI10.1016/J.AMC.2010.12.006zbMath1217.34053OpenAlexW2039506615MaRDI QIDQ628887

Simona Fišnarová, Ondřej Došlý

Publication date: 8 March 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.12.006

zbMATH Keywords

Riccati equationvariational techniquehalf-linear differential equationoscillation and nonoscillation criteriaperturbation principle

Mathematics Subject Classification ID

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

Related Items (5)

Oscillatory properties of half-linear difference equations: two-term perturbations ⋮ On the oscillation of even-order half-linear functional difference equations with damping term ⋮ Two-parametric conditionally oscillatory half-linear differential equations ⋮ Modified Prüfer angle and conditional oscillation of perturbed linear and half-linear differential equations ⋮ Two-Term Perturbations in Half-Linear Oscillation Theory

Cites Work

• Half-linear oscillation criteria: perturbation in term involving derivative
• Perturbations of the half-linear Euler --- Weber type differential equation
• Oscillation and nonoscillation criteria for half-linear second order differential equations
• Conditionally oscillatory half-linear differential equations
• Asymptotic formulas for non-oscillatory solutions of perturbed half-linear Euler equation
• Perturbations of the half-linear Euler differential equation
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