Hongxia Fan, Fei Gao
Abstract:
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.
Submitted June 25, 2014. Published November 20, 2014.
Math Subject Classifications: 35B40, 35G25, 47D03.
Key Words: Asymptotic stability; elastic systems; structural damping;
exponential stability; sectorial operator.
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Hongxia Fan Department of Mathematics Lanzhou Jiaotong University Lanzhou, 730070, China email: lzfanhongxia@163.com | |
Fei Gao Department of Mathematics Lanzhou Jiaotong University Lanzhou, 730070, China email: 11l111@sina.cn |
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