Oscillation and nonoscillation of Hill's equation with periodic damping.

DOI10.1016/S0022-247X(03)00194-XzbMath1039.34026MaRDI QIDQ1421171

Man Kam Kwong, James S. W. Wong

Publication date: 26 January 2004

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

zbMATH Keywords

oscillationdamping termperiodic coefficientssecond-order linear differential equationszero mean value

Mathematics Subject Classification ID

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

Related Items (14)

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 ⋮ Oscillation and nonoscillation theorems for Meissner's equation ⋮ Nonoscillation of damped linear differential equations with a proportional derivative controller and its application to Whittaker-Hill-type and Mathieu-type equations ⋮ Nonoscillation and oscillation of second-order impulsive differential equations with periodic coefficients ⋮ Oscillation criterion for half-linear differential equations with periodic coefficients ⋮ A nonoscillation theorem for half-linear differential equations with periodic coefficients ⋮ Geometrical conditions for oscillation of second-order half-linear differential equations ⋮ Integral condition for oscillation of half-linear differential equations with damping ⋮ Nonoscillation of Mathieu equations with two frequencies ⋮ Interval oscillation of a general class of second-order nonlinear differential equations with nonlinear damping ⋮ On the oscillation of Hill's equations under periodic forcing ⋮ On oscillation and nonoscillation of second-order dynamic equations

Cites Work

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• Oscillation and disconjugacy for linear differential equations with almost periodic coefficients
• Integral inequalities and second order linear oscillation
• Oscillation criteria for a forced second-order linear differential equation
• Note on Wong's paper
• Disconjugacy
• OSCILLATION THEOREMS FOR A NONLINEAR ANALOGUE OF HILL'S EQUATION
• A norm criterion for non-oscillatory differential equations
• On the Non-Existence of Conjugate Points
• On Kamenev-type oscillation theorems for second-order differential equations with damping

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