To integration of the damped Mathieu equation in the monograph of N. N. Bogoliubov and Y. A. Mitropolsky ``Asymptotic methods in the theory of nonlinear oscillations

DOI10.1134/S0965542522120090OpenAlexW4315434449MaRDI QIDQ2679084

A. F. Kurin

Publication date: 19 January 2023

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542522120090

zbMATH Keywords

asymptotic methodMathieu equationparametric resonance

Mathematics Subject Classification ID

General perturbation schemes for nonlinear problems in mechanics (70K60) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Cites Work

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• Cauchy problem for the Mathieu equation away from parametric resonance
• Spectral stability criterion and the Cauchy problem for the Hill equation at parametric resonance
• Cauchy problem for Mathieu’s equation at parametric resonance

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