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A remark on the equation of a vibrating plate

Published online by Cambridge University Press:  14 November 2011

Andreas Stahel
Andreas Stahel
Affiliation:
Mathematisches Institut, Universität Zürich, Rämistrasse 74, CH-8001 Zürich, Switzerland
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Synopsis

We consider the von Karman equations, which describe a vibrating plate either with a clamped boundary or with completely free boundary. In both cases we obtain a unique, classical solution. As the main tool we use a set of integral equations, which we deduce from the well known “variations of constants” formula.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 106 , Issue 3-4 , 1987 , pp. 307 - 314
Copyright
Copyright © Royal Society of Edinburgh 1987

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References

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