Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2013, Volume 9, Number 2, Pages 165–190 (Mi jmag555)  
This article is cited in 5 scientific papers (total in 5 papers)

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

R. del Rioa, M. Kudryavtsevb, L. O. Silvaa

a 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
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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.
Received: 01.11.2011
Revised: 07.05.2012
Bibliographic databases:
Document Type: Article
MSC: 34K29, 47A75, 47B36, 70F17
Language: English
Citation: R. del Rio, M. Kudryavtsev, L. O. Silva, “Inverse Problems for Jacobi Operators II: Mass Perturbations of Semi-Infinite Mass-Spring Systems”, Zh. Mat. Fiz. Anal. Geom., 9:2 (2013), 165–190
Citation in format AMSBIB
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\by R.~del Rio, M.~Kudryavtsev, L.~O.~Silva
\paper Inverse Problems for Jacobi Operators II:~Mass Perturbations of Semi-Infinite Mass-Spring Systems
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2013
\vol 9
\issue 2
\pages 165--190
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3113459}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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