Abstract
This article uses the general theory of elliptic equations. The main investigation method is the resolvent method. Uniqueness conditions for the recovery of potential are obtained for the Borg-Levinson inverse problem with the Robin boundary conditions on N-dimensional parallelepiped under the known asymptotic expansions of the eigenvalues. This result is in accord with the results which had been obtained for the problem with the Neumann boundary conditions. The theorem can be used for solving inverse spectral problems and development of numerical methods.
Keywords
Elliptic operators, spectral theory, inverse problems, uniqueness theorem, resolvent method, eigenvalues.
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Smirnova L.V. and I.I. Kinzina (2018) Uniqueness of solution of Borg-Levinson inverse problem on N-dimensional parallelepiped. Software of systems in the industrial and social fields, 6 (1): 2-7.