Reduction of the Mathieu equation to a nonlinear equation of the first order


Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription Access

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

Supplementary files

Supplementary Files
Action
1. JATS XML

Copyright (c) 2016 Allerton Press, Inc.