On the basis property of the root functions of differential operators with matrix coefficients
AuthorVeliev, Oktay A.
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CitationVeliev, O. A. (2009). On the basis property of the root functions of differential operators with matrix coefficients. In International conference Spectral Problems and Related Topics (pp. 1-16). Moscow: Moscow State University.
We obtain asymptotic formulas for eigenvalues and eigenfunctions of the operator generated by a system of ordinary differential equations with summable coefficients and periodic or antiperiodic boundary conditions. Then using these asymptotic formulas, we find necessary and sufficient conditions on the coefficients for which the system of eigenfunctions and associated functions of the operator under consideration forms a Riesz basis.