Cauchy problem for the Mathieu equation away from parametric resonance

DOI10.1134/S0965542511080136zbMath1249.34018MaRDI QIDQ2898196

A. F. Kurin

Publication date: 16 July 2012

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

zbMATH Keywords

Cauchy problemMathieu's equationasymptotic averaging methodparametric resonance domains

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Averaging method for ordinary differential equations (34C29)

Related Items (1)

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

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