Necessary and sufficient conditions for the solvability of the inverse problem for the matrix Sturm-Liouville operator |
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Authors: | N P Bondarenko |
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Institution: | 1. Saratov State University, Saratov, Russia
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Abstract: | The matrix Sturm-Liouville operator on a finite interval with Dirichlet boundary conditions is studied. Properties of its
spectral characteristics and the inverse problem of recovering the operator from these characteristics are investigated. Necessary
and sufficient conditions on the spectral data of the operator are obtained. Research is conducted in the general case, with
no a priori restrictions on the spectrum. A constructive algorithm for solving the inverse problem is provided. |
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Keywords: | |
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