Geodesic
On spectral properties of Sturm--Liouville operator with matrix potential
Ufa mathematical journal, Tome 7 (2015) no. 3, pp. 84-94

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In the work we obtain asymptotic estimates for the eigenvalues, eigenvectors and spectral projectors of a Sturm–Liouville operator with a matrix potential subject to quasi-periodic boundary conditions. The matrix potential is formed by functions square summable on the segment $[0,1]$ and the matrix of the means of the functions have simple eigenvalues. We consider also the case when the matrix of the means has a simple structure.
Keywords: similar operator method, spectrum, linear operators, spectral projectors. 
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     title = {On spectral properties of {Sturm--Liouville} operator with matrix potential},
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N. B. Uskova. On spectral properties of Sturm--Liouville operator with matrix potential. Ufa mathematical journal, Tome 7 (2015) no. 3, pp. 84-94. http://geodesic.mathdoc.fr/item/UFA_2015_7_3_a9/