A note on the existence of solutions with prescribed asymptotic behavior for half-linear ordinary differential equations.

DOI10.21136/MB.2023.0158-22MaRDI QIDQ6648102

M. Naito

Publication date: 4 December 2024

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

zbMATH Keywords

nonoscillatory solutionhalf-linear differential equationasymptotic form

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Growth and boundedness of solutions to ordinary differential equations (34C11) Asymptotic properties of solutions to ordinary differential equations (34D05)

Cites Work

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• Asymptotic behavior of nonoscillatory solutions of half-linear ordinary differential equations
• Asymptotic formulae for solutions of half-linear differential equations
• Asymptotic behavior of solutions of half-linear differential equations and generalized Karamata functions
• Application of generalised Riccati equations to analysis of asymptotic forms of solutions of perturbed half-linear ordinary differential equations
• Nonlinear Poincaré-Perron theorem
• Nonoscillatory half-linear differential equations and generalized Karamata functions
• Solutions of half-linear differential equations in the classes Gamma and Pi.
• On the existence and asymptotic behavior of solutions of half-linear ordinary differential equations
• Precise asymptotic behavior of regularly varying solutions of second order half-linear differential equations
• Remarks on the existence of nonoscillatory solutions of half-linear ordinary differential equations, I
• Asymptotic forms of solutions of perturbed half-linear ordinary differential equations
• Remarks on the existence of nonoscillatory solutions of half-linear ordinary differential equations, II

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