Spectral stability criterion and the Cauchy problem for the Hill equation at parametric resonance

DOI10.1134/S0965542509030105zbMath1224.34007MaRDI QIDQ2995669

A. F. Kurin

Publication date: 4 May 2011

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

zbMATH Keywords

stabilityCauchy problemspectrumaveraging methodHill equation

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Stability of solutions to ordinary differential equations (34D20) Averaging method for ordinary differential equations (34C29) 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

This page was built for publication: Spectral stability criterion and the Cauchy problem for the Hill equation at parametric resonance