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

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...

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Main Authors:	A. Krylovas, O. Lavcel-Budko, P. Miškinis
Format:	Article
Language:	English
Published:	Vilnius University Press 2010-07-01
Series:	Nonlinear Analysis
Subjects:	perturbation methods averaging nonlinear waves resonance approximations
Online Access:	http://www.journals.vu.lt/nonlinear-analysis/article/view/14327

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spelling	doaj-be15ff61a21c46528142ab330bd47f712020-11-24T22:06:48ZengVilnius University PressNonlinear Analysis1392-51132335-89632010-07-0115310.15388/NA.15.3.14327Asymptotic solution of the mathematical model of nonlinear oscillations of absolutely elastic inextensible weightless stringA. Krylovas0O. Lavcel-Budko1P. Miškinis2Mykolas Romeris University, LithuaniaMykolas Romeris University, LithuaniaVilnius Gediminas Technical University, Lithuania 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. http://www.journals.vu.lt/nonlinear-analysis/article/view/14327perturbation methodsaveragingnonlinear wavesresonanceapproximations
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	A. Krylovas O. Lavcel-Budko P. Miškinis
spellingShingle	A. Krylovas O. Lavcel-Budko P. Miškinis Asymptotic solution of the mathematical model of nonlinear oscillations of absolutely elastic inextensible weightless string Nonlinear Analysis perturbation methods averaging nonlinear waves resonance approximations
author_facet	A. Krylovas O. Lavcel-Budko P. Miškinis
author_sort	A. Krylovas
title	Asymptotic solution of the mathematical model of nonlinear oscillations of absolutely elastic inextensible weightless string
title_short	Asymptotic solution of the mathematical model of nonlinear oscillations of absolutely elastic inextensible weightless string
title_full	Asymptotic solution of the mathematical model of nonlinear oscillations of absolutely elastic inextensible weightless string
title_fullStr	Asymptotic solution of the mathematical model of nonlinear oscillations of absolutely elastic inextensible weightless string
title_full_unstemmed	Asymptotic solution of the mathematical model of nonlinear oscillations of absolutely elastic inextensible weightless string
title_sort	asymptotic solution of the mathematical model of nonlinear oscillations of absolutely elastic inextensible weightless string
publisher	Vilnius University Press
series	Nonlinear Analysis
issn	1392-5113 2335-8963
publishDate	2010-07-01
description	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.
topic	perturbation methods averaging nonlinear waves resonance approximations
url	http://www.journals.vu.lt/nonlinear-analysis/article/view/14327
work_keys_str_mv	AT akrylovas asymptoticsolutionofthemathematicalmodelofnonlinearoscillationsofabsolutelyelasticinextensibleweightlessstring AT olavcelbudko asymptoticsolutionofthemathematicalmodelofnonlinearoscillationsofabsolutelyelasticinextensibleweightlessstring AT pmiskinis asymptoticsolutionofthemathematicalmodelofnonlinearoscillationsofabsolutelyelasticinextensibleweightlessstring
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Asymptotic solution of the mathematical model of nonlinear oscillations of absolutely elastic inextensible weightless string

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