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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2008 Volume 49, Number 6, Pages 1207–1215 (Mi smj1912)

This article is cited in 14 papers

A trace formula of a boundary value problem for the operator Sturm–Liouville equation

N. M. Aslanova

Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences

Abstract: We obtain a regularized trace formula for the operator Sturm–Liouville equation with a boundary condition depending on a spectral parameter.

Keywords: Hilbert space, selfadjoint operator, discrete spectrum, regularized trace, nuclear operator.

UDC: 517.984.46

Received: 19.05.2007
Revised: 07.05.2008


 English version:
Siberian Mathematical Journal, 2008, 49:6, 959–967

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© Steklov Math. Inst. of RAS, 2024