Asymptotic stability of solutions to elastic systems with structural damping

Asymptotic stability of solutions to elastic systems with structural damping

In this article, we study the asymptotic stability of solutions for the initial value problems of second order evolution equations in Banach spaces, which can model elastic systems with structural damping. The discussion is based on exponentially stable semigroups theory. Applications to the vib...

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Bibliographic Details
Main Authors: Hongxia Fan, Fei Gao
Format: Article
Language:English
Published: Texas State University 2014-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Asymptotic stability
elastic systems
structural damping
exponential stability
sectorial operator
Online Access:http://ejde.math.txstate.edu/Volumes/2014/245/abstr.html
Description
Summary:In this article, we study the asymptotic stability of solutions for the initial value problems of second order evolution equations in Banach spaces, which can model elastic systems with structural damping. The discussion is based on exponentially stable semigroups theory. Applications to the vibration equation of elastic beams with structural damping are also considered.
ISSN:1072-6691

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