2000 character limit reached
Recovery of the matrix quadratic differential pencil from the spectral data (1509.06234v1)
Published 21 Sep 2015 in math.SP
Abstract: We consider a pencil of matrix Sturm-Liouville operators on a finite interval. We study properties of its spectral characteristics and inverse problems that consist in recovering of the pencil by the spectral data: eigenvalues and so--called weight matrices. This inverse problem is reduced to a linear equation in a Banach space by the method of spectral mappings. Constructive algorithm for the solution of the inverse problem is provided.