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

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1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)307-323
Number of pages17
JournalNonlinear Analysis: Modelling and Control
Volume15
Issue number3
Publication statusPublished - Sep 2010

Fingerprint

Inextensible
Integral-differential Equation
Nonlinear Oscillations
Asymptotics of Solutions
Differential equations
Strings
Valid
Mathematical Model
Mathematical models
Interval
Approximation

Keywords

  • Approximations
  • Averaging
  • Nonlinear waves
  • Perturbation methods
  • Resonance

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

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title = "Asymptotic solution of the mathematical model of nonlinear oscillations of absolutely elastic inextensible weightless string",
abstract = "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.",
keywords = "Approximations, Averaging, Nonlinear waves, Perturbation methods, Resonance",
author = "A. Krylovas and Olga Lavcel-Budko and P. Miškinis",
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journal = "Nonlinear Analysis: Modelling and Control",
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