Boundary stabilization for a non-linear beam on elastic bearings

被引：8

作者：

Ma, TF ^{[1
]}

机构：

[1] Univ Estadual Maringa, Dept Matemat, BR-87020900 Maringa, Parana, Brazil

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2001年 / 24卷 / 08期

关键词：

beam equation; non-linear boundary; exponential decay;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the equation u(u) + u(xxxx) - M(integral (L)(0)\u(x)\(2) dx)u(xx) = 0 in [0,L] X R+ under non-linear boundary conditions which model the vibrations of a beam clamped at x=0 and supported by a non-linear bearing at x=L. By adding only one damping mechanism at x=L, we prove the existence of a global solution and exponential decay of the energy. Copyright (C) 2001 John Wiley & Sons, Ltd.

引用

页码：583 / 594

页数：12

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