An inverse problem by eigenvalues of four spectra

[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.

[发布日期] 2012-12-15

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