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Chebyshevskii Sbornik, 2024, Volume 25, Issue 3, Pages 201–212
DOI: https://doi.org/10.22405/2226-8383-2024-25-3-201-212
(Mi cheb1454)
 

Isospectral and partially isospectral Dirac operators on the finite interval

O. E. Mirzaeva, T. G. Khasanovb

a Samarkand State University named after Sharof Rashidov (Samarkand, Uzbekistan)
b Urgench State University (Urgench, Uzbekistan)
Abstract: In this paper, we propose an algorithm for constructing isospectral and partially isospectral Dirac operators on a finite interval. This algorithm is applied to the process of finding solutions to mixed problems posed for a system of partial differential equations of hyperbolic type with variable coefficients.
Keywords: eigenvalues, normalization constants, inverse problems, Fredholm integral equations of the second kind, isospectral and partially-isospectral Dirac operators.
Received: 08.01.2024
Accepted: 04.09.2024
Document Type: Article
UDC: 517.957
Language: Russian
Citation: O. E. Mirzaev, T. G. Khasanov, “Isospectral and partially isospectral Dirac operators on the finite interval”, Chebyshevskii Sb., 25:3 (2024), 201–212
Citation in format AMSBIB
\Bibitem{MirHas24}
\by O.~E.~Mirzaev, T.~G.~Khasanov
\paper Isospectral and partially isospectral Dirac operators on the finite interval
\jour Chebyshevskii Sb.
\yr 2024
\vol 25
\issue 3
\pages 201--212
\mathnet{http://mi.mathnet.ru/cheb1454}
\crossref{https://doi.org/10.22405/2226-8383-2024-25-3-201-212}
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