Constructive solution of the inverse spectral problem for the matrix\n Sturm-Liouville operator

2020/03/03 by Natalia P. Bondarenko, Bondarenko, Natalia · 2 citations
Mathematics · Computer Science · #Spectral Theory in Mathematical Physics #Matrix Theory and Algorithms #Algebraic and Geometric Analysis

paper · pdf · doi:10.48550/arxiv.2003.01796

Abstract

An inverse spectral problem is studied for the matrix Sturm-Liouville\noperator on a finite interval with the general self-adjoint boundary condition.\nWe obtain a constructive solution based on the method of spectral mappings for\nthe considered inverse problem. The nonlinear inverse problem is reduced to a\nlinear equation in a special Banach space of infinite matrix sequences. In\naddition, we apply our results to the Sturm-Liouville operator on a star-shaped\ngraph.\n

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• Stability of the inverse Sturm-Liouville problem on a graph with a cycle
• Uniform stability for the matrix inverse Sturm-Liouville problems

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