Article
Ufa Mathematical Journal
Volume 7, Number 3, pp. 84-94
On spectral properties of Sturm-Liouville operator with matrix potential
Uskova N.B.
DOI:10.13108/2015-7-3-84
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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.