Vibrations of elastic string with nonhomogeneous material

被引：15

作者：

Limaco, J. ^{[1
]}

Clark, H. R. ^{[1
]}

Medeiros, L. A. ^{[2
]}

机构：

[1] Univ Fed Fluminense, IM, RJ, Brazil

[2] Univ Fed Rio de Janeiro, IM, RJ, Brazil

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 344卷 / 02期

关键词：

vibrations of an elastic string; Kirchhoff equation; nonhomogeneous material;

D O I：

10.1016/j.jmaa.2008.02.051

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we analyze from the mathematical point of view a model for small vertical vibrations of an elastic string with fixed ends and the density of the material being not constant. We employ techniques of functional analysis, mainly a theorem of compactness for the analysis of the approximation of Faedo-Galerkin method. We obtain strong global solutions with restrictions on the initial data u(0) and u(1), uniqueness of solutions and a rate decay estimate for the energy. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：806 / 820

页数：15

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