An inverse problem for the quadratic pencil of non-self-adjoint matrix\n operators on the half-line

2013/01/13 by Natalia P. Bondarenko, Bondarenko, Natalia, Gerhard Freiling +1
Computer Science · Engineering · Mathematics · #FOS: Mathematics #Material Science and Thermodynamics #Matrix Theory and Algorithms #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1301.2764

openalex publication_date 2013/01/13 · openalex created_date 2022/08/23 · openalex updated_date 2026/07/28

Abstract

We consider a pencil of non-self-adjoint matrix Sturm-Liouville operators on\nthe half line and study the inverse problem of constructing this pencil by its\nWeyl matrix. A uniqueness theorem is proved, and a constructive algorithm for\nthe solution is obtained.\n

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