Comparison of nonlinearities in oscillation theory of half-linear differential equations

DOI10.1007/s10474-008-7181-zzbMath1199.34167OpenAlexW2115828331MaRDI QIDQ1046760

Pavel Řehák

Publication date: 28 December 2009

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-008-7181-z

zbMATH Keywords

comparison theoremhalf-linear differential equationRiccati techniquereciprocity principle(non)oscillation

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items

Peculiarities in power type comparison results for half-linear dynamic equations ⋮ Half-linear ODE and modified Riccati equation: comparison theorems, integral characterization of principal solution ⋮ Global asymptotic stability for damped half-linear oscillators ⋮ Power comparison theorems for oscillation problems for second order differential equations with \(p(t)\)-Laplacian ⋮ A new application method for nonoscillation criteria of Hille-Wintner type ⋮ Global attractivity for half-linear differential systems with periodic coefficients

Cites Work

• Comparison theorems for oscillation of second order half-linear differential equations
• On some analogs of Sturm's and Kneser's theorems for nonlinear systems
• Oscillation and nonoscillation criteria for second order quasilinear differential equations
• On certain comparison theorems for half-linear dynamic equations on time scales
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