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.
|Number of pages||17|
|Journal||Nonlinear Analysis: Modelling and Control|
|Publication status||Published - Sep 2010|
- Nonlinear waves
- Perturbation methods
ASJC Scopus subject areas
- Applied Mathematics