Asymptotic solution of the mathematical model of nonlinear oscillations of absolutely elastic inextensible weightless string

Nonlinear Analysis

O. Lavcel-Budko¹  A. Krylovas¹  P. Miškinis² 

[1] Mykolas Romeris University, Lithuania;Vilnius Gediminas Technical University, Lithuania;

关键词: perturbation methods;    averaging;    nonlinear waves;    resonance;    approximations;   

DOI  :  10.15388/NA.15.3.14327

来源: DOAJ

【 摘 要 】

The mathematical model of nonlinear oscillations of weightless string is analyzed. To find an asymptotic solution of the problem, uniformly valid in a long interval of time, an averaged system of integral differential equations has been constructed. A method for constructing special approximations of its solutions is proposed.

【 授权许可】

Unknown