Mennicken, Reinhard and Pivovarchik, Vyacheslav (2003) An inverse problem for an inhomogeneous string with an interval of zero density. MATHEMATISCHE NACHRICHTEN, 259 (1). pp. 51-65. ISSN 0025-584X
Full text not available from this repository. (Request a copy)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. (C) 2003 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SMALL VIBRATIONS; ONE END; BASES; Sturm-Liouville equation; Dirichlet problem; Dirichlet-Neumann problem |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 05 Aug 2021 10:31 |
| Last Modified: | 05 Aug 2021 10:31 |
| URI: | https://pred.uni-regensburg.de/id/eprint/39494 |
Actions (login required)
 |
View Item |
