Asymptotic study of the Rayleigh equation

Marin-Nicolae Popescu, Gheorghescu Nistor

Abstract


This paper provides an asymptotic treatment of the Cauchy problem for the Rayleigh equation µÿ + ?3/3 + ay – ? = 0 modelling a harmonic oscillator. The method of boundary layer functions and our version of the Tikhonov theorem are used. The models of asymptotic approximations are derived

Full Text:

PDF


DOI: http://dx.doi.org/10.1478/C1A0702004