Enviar artigo por via de e-mail Reduction of the Mathieu equation to a nonlinear equation of the first order
- Autores: Budanov V.M.1
-
Afiliações:
- Moscow State University, Moscow University Institute of Mechanics
- Edição: Volume 71, Nº 4 (2016)
- Páginas: 98-101
- Seção: Article
- URL: https://journals.rcsi.science/0027-1330/article/view/164375
- DOI: https://doi.org/10.3103/S0027133016040051
- ID: 164375
Citar
Acesso aberto
Acesso está concedido
Somente assinantes
Resumo
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.
Sobre autores
V. Budanov
Moscow State University, Moscow University Institute of Mechanics
Autor responsável pela correspondência
Email: vlbudanov@gmail.com
Rússia, Leninskie Gory, Moscow, 119991
Arquivos suplementares
