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

Krylovas, Aleksandras; Lavcel-Budko, Olga; Miškinis, P.

Use this url to cite publication: https://cris.mruni.eu/cris/handle/007/35595

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

Details

Type of publication

Straipsnis Web of Science ir Scopus duomenų bazėje / Article in Web of Science and Scopus database (S1)

Author(s)

Author	Affiliation
Krylovas, Aleksandras	Verslo ir ekonomikos institutas / Institute of Busines and Economics
Lavcel-Budko, Olga	Verslo ir ekonomikos institutas / Institute of Busines and Economics
Miškinis, P.	Vilniaus Gedimino technikos universitetas

Title

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

[en]

Publisher (trusted)

Institute of Mathematics and Informatics

Date Issued

Date
2010

Extent

p. 307-323 :

Is part of

Nonlinear analysis : modelling and control / Lithuanian Association of Nonlinear Analysts; Lithuanian Academy of Science. Vilnius : Institute of Mathematics and Informatics, 2010, Vol. 15, no. 3.

Research Area

Gamtos mokslai / Natural Sciences (N)

Field of Science

Matematika / Mathematics (N001)

Keywords (en)

Abstract (en)

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.