An inverse problem by eigenvalues of four spectra

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:396

Article

Pivovarchik, V.

关键词: Dirichlet boundary condition;    Neumann boundary condition;    Marchenko equation;    Lagrange interpolation series;    Sine-type function;    Nevanlinna function;   

DOI  :  10.1016/j.jmaa.2012.07.018

来源: Elsevier

【 摘 要 】

Certain parts of the Dirichlet-Dirichlet, Neumann-Dirichlet, Dirichlet-Neumann and Neumann-Neumann spectra are used to find the potential of the Sturm-Liouville equation on a finite interval. This problem possesses a unique solution. Conditions are found necessary and sufficient for four sequences to be the corresponding parts of the four spectra. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

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