The System of Root Functions is a Basis in a Problem with a Multiple Eigenvalue
- Authors: Kapustin N.Y.1
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Affiliations:
- Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University
- Issue: Vol 30, No 4 (2019)
- Pages: 321-325
- Section: I. Numerical Methods
- URL: https://journal-vniispk.ru/1046-283X/article/view/247922
- DOI: https://doi.org/10.1007/s10598-019-09458-7
- ID: 247922
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Abstract
We consider a problem that describes the biorthogonal adjoint system for the classical system of root functions for a loaded string with one free end in the presence of a multiple eigenvalue. We show that the complete and minimal subsystems isolated from the system of root functions constitute a basis in the presence of one or two associated functions.
About the authors
N. Yu. Kapustin
Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University
Author for correspondence.
Email: n.kapustin@bk.ru
Russian Federation, Moscow
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