Email this article Reduction of the Mathieu equation to a nonlinear equation of the first order
- Authors: Budanov V.M.1
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Affiliations:
- Moscow State University, Moscow University Institute of Mechanics
- Issue: Vol 71, No 4 (2016)
- Pages: 98-101
- Section: Article
- URL: https://journals.rcsi.science/0027-1330/article/view/164375
- DOI: https://doi.org/10.3103/S0027133016040051
- ID: 164375
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Abstract
A second order equation with periodic coefficients is considered. It is shown that its analysis can be reduced to the study of a nonlinear equation of the first order. The second approximation is obtained for the first resonance region of the Mathieu equation. This approximation describes the behavior of solutions inside this resonance region and near it.
About the authors
V. M. Budanov
Moscow State University, Moscow University Institute of Mechanics
Author for correspondence.
Email: vlbudanov@gmail.com
Russian Federation, Leninskie Gory, Moscow, 119991
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