Cauchy problem for Mathieu’s equation at parametric resonance

DOI10.1134/S0965542508040088;zbMath1164.34301MaRDI QIDQ3545164

A. F. Kurin

Publication date: 9 December 2008

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

zbMATH Keywords

stabilityCauchy problemresonanceaveraging methodMathieu ordinary differential equation

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) Explicit solutions, first integrals of ordinary differential equations (34A05) Averaging method for ordinary differential equations (34C29) Asymptotic expansions of solutions to ordinary differential equations (34E05) Parametric resonances for nonlinear problems in mechanics (70K28)

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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