Functions and Analysis

    

On a Solution of the Inverse Spectral Problem for Differential Operators on a Finite Interval with Complex Weights

Authors: V. A. Yurko

Non-self-adjoint second-order ordinarydifferential operators on a finite interval with complex weights are studied. Properties of spectral characteristics are established andthe inverse problem of recovering operators from their spectral characteristics are investigated. For this class of nonlinear inverse problems an algorithm for constructing the global solution is obtained. To study this class of inverse problems, we develop ideas of the method of spectral mappings.

Comments: 7 Pages.

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Submission history

[v1] 2024-02-08 21:06:27

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