On the existence and asymptotic behavior of solutions of half-linear ordinary differential equations

DOI10.1016/j.jde.2022.02.025zbMath1497.34075OpenAlexW4221005550MaRDI QIDQ2670018

Manabu Naito, Hiroyuki Usami

Publication date: 10 March 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2022.02.025

zbMATH Keywords

nonoscillatory solutionhalf-linear differential equationasymptotic formone-dimensional \(p\)-Laplacian

Mathematics Subject Classification ID

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

Related Items

Asymptotic forms of solutions of half-linear ordinary differential equations with integrable perturbations, Oscillation and nonoscillation for two-dimensional nonlinear systems of ordinary differential equations, Solving nonlinear ordinary differential equations with variable coefficients by elastic transformation method, Unnamed Item, Unnamed Item, Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Half-linear ODE and modified Riccati equation: comparison theorems, integral characterization of principal solution
• 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
• Solutions of half-linear differential equations in the classes Gamma and Pi.
• On the Fredholm Alternative for the p -Laplacian in One Dimension
• 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
• Generic Fredholm alternative-type results for the one dimensional \(p\)-Laplacian.