This article is cited in 5 papers

Inverse Problems for Jacobi Operators II: Mass Perturbations of Semi-Infinite Mass-Spring Systems

R. del Rio^a, M. Kudryavtsev^b, L. O. Silva<sup>a

a</sup> Departamento de Métodos Matemáticos y Numéricos, Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de México, C.P. 04510, México D.F.
^b Mathematics Division, B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkiv, 61103, Ukraine

Abstract: We consider an inverse spectral problem for infinite linear mass-spring systems with different configurations obtained by changing the first mass. We give results on the reconstruction of the system from the spectra of two configurations. Necessary and sufficient conditions for two real sequences to be the spectra of two modified systems are provided.

Key words and phrases: infinite mass-spring system, Jacobi matrices, two-spectra inverse problem.

MSC: 34K29, 47A75, 47B36, 70F17

Received: 01.11.2011
Revised: 07.05.2012

Language: English

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