Bounds and optimization of the minimum eigenvalue for a vibrating system
We consider the problem of the oscillation of a string fixed at one end with a mass connected to a spring at the other end. The problem of minimizing the first eigenvalue of the system subject to a fixed total mass constraint is investigated. We discuss both a Sturm-Liouville and a Stieltjes integra...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
University of Szeged
2013-08-01
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Series: | Electronic Journal of Qualitative Theory of Differential Equations |
Subjects: | |
Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=2318 |