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This article is cited in 4 scientific papers (total in 5 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.
Received: 12.01.2008
Citation:
R. S. Ismagilov, A. G. Kostyuchenko, “On the Asymptotics of the Spectrum of a Nonsemibounded Vector Sturm–Liouville Operator”, Funktsional. Anal. i Prilozhen., 42:2 (2008), 11–22; Funct. Anal. Appl., 42:2 (2008), 89–97
Linking options:
https://www.mathnet.ru/eng/faa2898https://doi.org/10.4213/faa2898 https://www.mathnet.ru/eng/faa/v42/i2/p11
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Abstract page: | 727 | Full-text PDF : | 268 | References: | 86 | First page: | 23 |
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