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JOURNALS // Chebyshevskii Sbornik // Archive

Chebyshevskii Sb., 2024 Volume 25, Issue 3, Pages 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.

UDC: 517.957

Received: 08.01.2024
Accepted: 04.09.2024

DOI: 10.22405/2226-8383-2024-25-3-201-212



© Steklov Math. Inst. of RAS, 2025