Spectral analysis of the matrix Sturm–Liouville operator

Spectral analysis of the matrix Sturm–Liouville operator

Abstract The self-adjoint matrix Sturm–Liouville operator on a finite interval with a boundary condition in general form is studied. We obtain asymptotic formulas for the eigenvalues and the weight matrices of the considered operator. These spectral characteristics play an important role in the inve...

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Bibliographic Details
Main Author: Natalia P. Bondarenko
Format: Article
Language:English
Published: SpringerOpen 2019-11-01
Series:Boundary Value Problems
Subjects:
Matrix Sturm–Liouville operator
General self-adjoint boundary condition
Eigenvalue asymptotics
Asymptotics of weight matrices
Sturm–Liouville operators on graphs
Online Access:http://link.springer.com/article/10.1186/s13661-019-1292-z

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http://link.springer.com/article/10.1186/s13661-019-1292-z

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