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Matematicheskie Zametki, 2011, Volume 89, Issue 6, Pages 885–893
DOI: https://doi.org/10.4213/mzm8657 (Mi mzm8657) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Solution of the Inverse Quasiperiodic Problem for the Dirac System

I. M. Nabievab

a Baku State University
b Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences
Full-text PDF (465 kB) Citations (11)
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DOI: https://doi.org/10.4213/mzm8657
Abstract: We present a complete solution of the inverse problem of spectral analysis for the Dirac operator with quasiperiodic boundary conditions. We prove a uniqueness theorem for the solution of the inverse problem and obtain necessary and sufficient conditions for a sequence of real numbers to be the spectrum of a quasiperiodic Dirac problem.
Keywords: inverse spectral problem, Dirac operator, quasiperiodic Dirac problem, Lyapunov function, boundary-value problem, spectral data, Bernstein's inequality.
Received: 02.12.2009
Revised: 13.05.2010
English version:
Mathematical Notes, 2011, Volume 89, Issue 6, Pages 845–852
DOI: https://doi.org/10.1134/S0001434611050269
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
Citation: I. M. Nabiev, “Solution of the Inverse Quasiperiodic Problem for the Dirac System”, Mat. Zametki, 89:6 (2011), 885–893; Math. Notes, 89:6 (2011), 845–852
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:61
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