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A special case of the Sturm–Liouville inverse problem by three spectra: uniqueness results

Published online by Cambridge University Press:  12 July 2007

Vyacheslav Pivovarchik
Vyacheslav Pivovarchik
Affiliation:
South-Ukrainian State Pedagogical University, Staroportofrankovskaya Ul. 26, 65091 Odessa, Ukraine ([email protected])
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Abstract

A three spectral inverse Sturm–Liouville problem is considered arising in the theory of vibrating strings. It is shown that in some special cases the solution of this problem is unique.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 136 , Issue 1 , February 2006 , pp. 181 - 187
Copyright
Copyright © Royal Society of Edinburgh 2006

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