Reduction of the Mathieu equation to a nonlinear equation of the first order
- Авторлар: Budanov V.M.1
-
Мекемелер:
- Moscow State University, Moscow University Institute of Mechanics
- Шығарылым: Том 71, № 4 (2016)
- Беттер: 98-101
- Бөлім: Article
- URL: https://journals.rcsi.science/0027-1330/article/view/164375
- DOI: https://doi.org/10.3103/S0027133016040051
- ID: 164375
Дәйексөз келтіру
Аннотация
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.
Авторлар туралы
V. Budanov
Moscow State University, Moscow University Institute of Mechanics
Хат алмасуға жауапты Автор.
Email: vlbudanov@gmail.com
Ресей, Leninskie Gory, Moscow, 119991
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