Asymptotic behavior of nonoscillatory solutions of half-linear ordinary differential equations

DOI10.1007/s00013-020-01573-xzbMath1468.34076OpenAlexW3126623113WikidataQ115390081 ScholiaQ115390081MaRDI QIDQ828622

Manabu Naito

Publication date: 5 May 2021

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-020-01573-x

zbMATH Keywords

asymptotic behaviornonoscillatory solutionhalf-linear differential equation

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)

Related Items

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

Cites Work

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• 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.
• Self-adjoint differential equations and generalized Karamata functions