Adapted Riccati technique and non-oscillation of linear and half-linear equations

DOI10.1016/J.AML.2018.03.003zbMath1392.34031OpenAlexW2791038048WikidataQ130184136 ScholiaQ130184136MaRDI QIDQ1642096

Petr Hasil, J. Juránek, Michal Veselý

Publication date: 20 June 2018

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.03.003

zbMATH Keywords

oscillation theoryRiccati equation\(p\)-Laplacianlinear differential equationhalf-linear equationRiccati techniquenon-oscillation criterion

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 (2)

Modification of adapted Riccati equation and oscillation of linear and half-linear difference equations ⋮ Euler type linear and half-linear differential equations and their non-oscillation in the critical oscillation case

Cites Work

• Unnamed Item
• Unnamed Item
• Generalized Prüfer angle and oscillation of half-linear differential equations
• Oscillation constants for second-order ordinary differential equations related to elliptic equations with \(p\)-Laplacian
• Critical oscillation constant for half-linear differential equations with periodic coefficients
• Critical coupling constants and eigenvalue asymptotics of perturbed periodic Sturm-Liouville operators
• Nonoscillation criteria for half-linear second-order difference equations
• Conditional oscillation of half-linear differential equations with coefficients having mean values
• Oscillation and non-oscillation of Euler type half-linear differential equations
• Nonoscillation criteria for second-order nonlinear differential equations with decaying coefficients
• Oscillation of the perturbed Hill equation and the lower spectrum of radially periodic Schrödinger operators in the plane
• Conditional oscillation of Euler type half-linear differential equations with unbounded coefficients
• A non-oscillation theorem for nonlinear differential equations with p-Laplacian
• Local estimates for modified Riccati equation in theory of half-linear differential equation
• Oscillation criteria for second order nonlinear differential equations of Euler type

This page was built for publication: Adapted Riccati technique and non-oscillation of linear and half-linear equations