Asymptotic behavior of solutions of half-linear differential equations and generalized Karamata functions

DOI10.1515/GMJ-2020-2070zbMath1476.34115OpenAlexW3056435565MaRDI QIDQ2048247

Kusano Takaŝi, Jelena V. Manojlovic

Publication date: 5 August 2021

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2020-2070

zbMATH Keywords

asymptotic behaviorpositive solutionsregularly varying solutionshalf-linear differential equationsgeneralized Karamata functions

Mathematics Subject Classification ID

Growth and boundedness of solutions to ordinary differential equations (34C11) Asymptotic properties of solutions to ordinary differential equations (34D05) Rate of growth of functions, orders of infinity, slowly varying functions (26A12)

Related Items (6)

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 ⋮ Unnamed Item ⋮ Unnamed Item ⋮ 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
• De Haan type increasing solutions of half-linear differential equations
• Nonoscillatory half-linear differential equations and generalized Karamata functions
• Precise asymptotic behavior of regularly varying solutions of second order half-linear differential equations
• Self-adjoint differential equations and generalized Karamata functions
• Regularly varying functions

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