Asymptotic investigation of a nonlinear model of string vibrations

The mathematical model of nonlinear oscillations of a weightless string is analysed. The uniformly valid asymptotic approximation in the long time interval, which is inversely proportional to the small parameter, is constructed. This asymptotic approximation is a solution of averaged along characte...

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Bibliographic Details
Main Authors: Olga Lavcel-Budko, Aleksandras Krylovas, Paulius Miškinis
Format: Article
Language:English
Published: Vilnius University Press 2016-12-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
Online Access:https://www.journals.vu.lt/LMR/article/view/17737