Geodesic
On the Asymptotics of the Spectrum of a Nonsemibounded Vector Sturm--Liouville Operator
Funkcionalʹnyj analiz i ego priloženiâ, Tome 42 (2008) no. 2, pp. 11-22

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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. 
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     title = {On the {Asymptotics} of the {Spectrum} of a {Nonsemibounded} {Vector} {Sturm--Liouville} {Operator}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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R. S. Ismagilov; A. G. Kostyuchenko. On the Asymptotics of the Spectrum of a Nonsemibounded Vector Sturm--Liouville Operator. Funkcionalʹnyj analiz i ego priloženiâ, Tome 42 (2008) no. 2, pp. 11-22. http://geodesic.mathdoc.fr/item/FAA_2008_42_2_a2/