### 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 language | English |
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Pages (from-to) | 307-323 |

Number of pages | 17 |

Journal | Nonlinear Analysis: Modelling and Control |

Volume | 15 |

Issue number | 3 |

Publication status | Published - Sep 2010 |

### Fingerprint

### Keywords

- Approximations
- Averaging
- Nonlinear waves
- Perturbation methods
- Resonance

### ASJC Scopus subject areas

- Analysis
- Applied Mathematics

### Cite this

**Asymptotic solution of the mathematical model of nonlinear oscillations of absolutely elastic inextensible weightless string.** / Krylovas, A.; Lavcel-Budko, Olga ; Miškinis, P.

Research output: Contribution to journal › Article

*Nonlinear Analysis: Modelling and Control*, vol. 15, no. 3, pp. 307-323.

}

TY - JOUR

T1 - Asymptotic solution of the mathematical model of nonlinear oscillations of absolutely elastic inextensible weightless string

AU - Krylovas, A.

AU - Lavcel-Budko, Olga

AU - Miškinis, P.

PY - 2010/9

Y1 - 2010/9

N2 - 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.

AB - 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.

KW - Approximations

KW - Averaging

KW - Nonlinear waves

KW - Perturbation methods

KW - Resonance

UR - http://www.scopus.com/inward/record.url?scp=78049483428&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78049483428&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:78049483428

VL - 15

SP - 307

EP - 323

JO - Nonlinear Analysis: Modelling and Control

JF - Nonlinear Analysis: Modelling and Control

SN - 1392-5113

IS - 3

ER -