RESONANT PERTURBATIONS OF HIGHER-ORDER HARMONIC OSCILLATION

DOI10.1080/16073606.1992.9631669zbMath0761.34043OpenAlexW2052944091MaRDI QIDQ3993993

Michael S. P. Eastham

Publication date: 13 August 1992

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1992.9631669

zbMATH Keywords

harmonic oscillatorfourth-order equationsresonant\(n\)-th order differential equationnonresonantamplitude factorperiodic step-functionresonant perturbation

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Cites Work

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• On the asymptotic integration of linear differential systems
• Asymptotic integration of adiabatic oscillators
• The asymptotic solution of second-order differential equations
• THE ASYMPTOTIC INTEGRATION OF SOME OSCILLATORY DIFFERENTIAL EQUATIONS
• Resonant Perturbations of Harmonic Oscillation
• Non-resonance for linear differential systems
• ASYMPTOTIC EXPANSIONS OF FORMALLY SELF-ADJOINT DIFFERENTIAL EQUATIONS WITH CONDITIONALLY INTEGRABLE COEFFICIENTS
• Limit circle criteria for fourth order differential operators with an oscillatory coefficient
• THE NUMBER OF RESONANT STATES IN PERTURBED HARMONIC OSCILLATION

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