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The Adiabatic Linear Oscillator

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Publication:5846901
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DOI10.2307/2371822zbMath0063.08293OpenAlexW2315132422MaRDI QIDQ5846901

Aurel Wintner

Publication date: 1946

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2371822


Mathematics Subject Classification ID

Ordinary differential equations (34-XX)


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Appearance of new parametric resonances in time-dependent harmonic oscillator, On the asymptotic integration of systems of linear differential equations with oscillatory decreasing coefficients, On the asymptotic integration of linear differential systems, Asymptotic integration of adiabatic oscillators, Parametric resonance in adiabatic oscillators, A unified theory of asymptotic integration, On the principle of gyroscopic effect for self-excited rigid bodies, Bifurcations in asymptotically autonomous Hamiltonian systems under oscillatory perturbations, Criteria for Sturm-Liouville equations to have continuous spectra, Asymptotic integration of certain Volterra integro-differential equations with oscillatory decreasing kernels



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