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


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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.

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N. Kapustin

Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University

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Email: n.kapustin@bk.ru
俄罗斯联邦, Moscow

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