Stabilization of a nonlinear Timoshenko beam
type: Item
instance of: scholarly article
title: Stabilization of a nonlinear Timoshenko beam
zbMATH Open document ID: 1012.35009
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2003-03-27T00:00:00Z
review text: The author studies a nonlinear partial integro-differential equation modelling the large vibrations of a Timoshenko beam. He proves a local existence theorem by the standard Banach contraction mapping theorem and he obtains global solutions for small initial data. Then the stabilization of the global solution is studied under various growth conditions on the feedback function and this also in the case of dissipation. No discussion about the possible relevance of the results in applications is given.
reviewed by: Giuseppe Saccomandi
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 1889133
zbMATH Keywords: nonlinear partial integro-differential equation
zbMATH Keywords: local existence theorem
zbMATH Keywords: local dissipation
zbMATH Keywords: large vibrations
zbMATH Keywords: Banach contraction mapping theorem
zbMATH Keywords: various growth conditions
zbMATH Keywords: feedback function
author: Mohammed Aassila
MaRDI profile type: Publication
full work available at URL: s00033-002-8181-4
OpenAlex ID: W1595038367
DOI: 10.1007/S00033-002-8181-4
description: scientific article; zbMATH DE number 1889133