The System of Root Functions is a Basis in a Problem with a Multiple Eigenvalue


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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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