On spectral properties of Sturm - Liouville operator with matrix potential
On spectral properties of Sturm - Liouville operator with matrix potential
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 …