On the oscillation of Hill's equations under periodic forcing

DOI10.1016/j.jmaa.2005.06.024zbMath1102.34021OpenAlexW2056582337MaRDI QIDQ2492959

James S. W. Wong, Man Kam Kwong

Publication date: 9 June 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.06.024

zbMATH Keywords

oscillationordinary differential equationslinearsecond orderperiodic

Mathematics Subject Classification ID

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

Related Items

Simple conditions for parametrically excited oscillations of generalized Mathieu equations ⋮ Oscillation problems for Hill's equation with periodic damping ⋮ Nonoscillation of Mathieu's equation whose coefficient is a finite Fourier series approximating a square wave ⋮ On one oscillatory criterion for the second order linear ordinary differential equations ⋮ A nonoscillation theorem for half-linear differential equations with periodic coefficients ⋮ Oscillation and non-oscillation criteria for linear nonhomogeneous systems of two first-order ordinary differential equations

Cites Work

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• Estimation of an eigen-value occuring in a stability problem
• Hill's equation revisited
• Singular perturbation methods for ordinary differential equations
• Oscillation and nonoscillation of Hill's equation with periodic damping.
• Interval oscillation theorems for a second-order linear differential equation
• Note on forced oscillation of \(n\)th-order sublinear differential equations
• Estimates for the Hill operator. I
• Disconjugacy
• Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
• On certain problems on the maximum and minimum of characteristic values and on the Lyapunov zones of stability
• OSCILLATION THEOREMS FOR A NONLINEAR ANALOGUE OF HILL'S EQUATION
• Positive eigenvalues of second order boundary value problems and a theorem of M. G. Krein
• A Lyapunov-type stability criterion using $L^\alpha $ norms
• Forced oscillation of second order superlinear differential equations