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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive

Funktsional. Anal. i Prilozhen., 2008 Volume 42, Issue 2, Pages 11–22 (Mi faa2898)

This article is cited in 4 papers

On the Asymptotics of the Spectrum of a Nonsemibounded Vector Sturm–Liouville Operator

R. S. Ismagilova, A. G. Kostyuchenkob

a N. E. Bauman Moscow State Technical University
b M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: On the half-line, we consider a vector Sturm–Liouville operator with a potential that is unbounded below. Asymptotic formulas for the spectrum are given. These formulas involve the eigenvalues of the matrix potential as well as the “rotational velocities” of the eigenvectors.

Keywords: Sturm–Liouville operator, spectrum, asymptotics.

UDC: 517.98

Received: 12.01.2008

DOI: 10.4213/faa2898


 English version:
Functional Analysis and Its Applications, 2008, 42:2, 89–97

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