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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 1975 Volume 17, Issue 4, Pages 631–638 (Mi mzm7582)

This article is cited in 1 paper

Multiplicity of the spectrum of a self-adjoint ordinary differential operator of odd order

V. I. Filippenko

Ul'yanovsk Pedagogical Institute

Abstract: A bound is obtained for the multiplicity of the spectrum of the self-adjoint operator generated by a singular ordinary differential operatorell of odd order in the Hubert space $\mathscr L^2(a,b)$ in terms of solutions of the differential equationel $l[y]=\lambda y$.

UDC: 517.91

Received: 01.07.1974


 English version:
Mathematical Notes, 1975, 17:4, 375–379

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