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An inverse problem for an inhomogeneous string with an interval of zero density

✍ Scribed by Reinhard Mennicken; Vyacheslav Pivovarchik

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
187 KB
Volume
259
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

In the present paper we characterize the spectrum of small transverse vibrations of an inhomogeneous string with the left end fixed and the right one moving with damping in the direction orthogonal to the equilibrium position of the string. The density of the string is supposed to be smooth and strictly positive everywhere except of an interval of zero density at the right end. Sufficient (close to the necessary) conditions are given for a sequence of complex numbers to be the spectrum of such a string. (Β© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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