Reduction of the Mathieu equation to a nonlinear equation of the first order
- 作者: Budanov V.M.1
-
隶属关系:
- Moscow State University, Moscow University Institute of Mechanics
- 期: 卷 71, 编号 4 (2016)
- 页面: 98-101
- 栏目: Article
- URL: https://journals.rcsi.science/0027-1330/article/view/164375
- DOI: https://doi.org/10.3103/S0027133016040051
- ID: 164375
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详细
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.
作者简介
V. Budanov
Moscow State University, Moscow University Institute of Mechanics
编辑信件的主要联系方式.
Email: vlbudanov@gmail.com
俄罗斯联邦, Leninskie Gory, Moscow, 119991
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