Rectifiable oscillations in second-order linear differential equations

DOI10.1016/j.jde.2008.05.016zbMath1168.34027OpenAlexW1965684788MaRDI QIDQ949637

James S. W. Wong, Man Kam Kwong, Mervan Pašić

Publication date: 21 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.jde.2008.05.016

zbMATH Keywords

stabilitygraphoscillationWronskianfractal dimensionsecond orderrectifiabilityLiouville transformationintegral criterionco-existenceEuler type equationindependent solutionsLinear equation

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Length, area, volume, other geometric measure theory (28A75)

Related Items (13)

Nonautonomous differential equations in Banach space and nonrectifiable attractivity in two-dimensional linear differential systems ⋮ On one oscillatory criterion for the second order linear ordinary differential equations ⋮ Fractal oscillations of chirp functions and applications to second-order linear differential equations ⋮ Two-point oscillation for a class of second-order damped linear differential equations ⋮ Fractal oscillations of self-adjoint and damped linear differential equations of second-order ⋮ Fractal properties of Bessel functions ⋮ Characterization for rectifiable and nonrectifiable attractivity of nonautonomous systems of linear differential equations ⋮ Integral condition for oscillation of half-linear differential equations with damping ⋮ Rectifiable oscillations of self-adjoint and damped linear differential equations of second-order ⋮ Box-counting dimension of solution curves for a class of two-dimensional nonautonomous linear differential systems ⋮ Box-counting dimension of oscillatory solutions to the Emden-Fowler equation ⋮ Rectifiable oscillations in second-order half-linear differential equations ⋮ Oscillatory and phase dimensions of solutions of some second-order differential equations

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