On the asymptotics of the spectrum of a nonsemibounded vector Sturm-Liouville operator |
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| Authors: | R. S. Ismagilov A. G. Kostyuchenko |
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| Affiliation: | (1) Bauman Moscow State Technical University, Russia;(2) Moscow State University, Russia |
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| 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. |
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| Keywords: | Sturm-Liouville operator spectrum asymptotics |
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