Remarks on the existence of nonoscillatory solutions of half-linear ordinary differential equations, I

DOI10.7494/OPMATH.2021.41.1.71zbMath1478.34064WikidataQ115157589 ScholiaQ115157589MaRDI QIDQ5004062

Manabu Naito

Publication date: 30 July 2021

Published in: Opuscula Mathematica (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviornonoscillatory solutionhalf-linear differential equationHardy-type inequality

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Asymptotic properties of solutions to ordinary differential equations (34D05) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (5)

On the existence and asymptotic behavior of solutions of half-linear ordinary differential equations ⋮ Existence and asymptotic behavior of nonoscillatory solutions of half-linear ordinary differential equations ⋮ Oscillation and nonoscillation for two-dimensional nonlinear systems of ordinary differential equations ⋮ A precise asymptotic description of half-linear differential equations ⋮ Remarks on the existence of nonoscillatory solutions of half-linear ordinary differential equations, II

Cites Work

• Unnamed Item
• Unnamed Item
• Hardy's inequality and its extensions
• Asymptotic behavior of nonoscillatory solutions of half-linear ordinary differential equations
• Nonoscillation theory for second order half-linear differential equations in the framework of regular variation
• Asymptotic formulae for solutions of half-linear differential equations
• Regular variation and differential equations
• Nonoscillatory half-linear differential equations and generalized Karamata functions
• Solutions of half-linear differential equations in the classes Gamma and Pi.
• Precise asymptotic behavior of regularly varying solutions of second order half-linear differential equations
• Self-adjoint differential equations and generalized Karamata functions
• Ordinary Differential Equations

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