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On the basis property of the root functions of differential operators with matrix coefficients

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Veliev O.

Open Mathematics

2011

tom 9

nr 3

657-672

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.

Ograniczanie wyników

1 Open Mathematics

1 Veliev O.

1 2011

Wyniki wyszukiwania

On the basis property of the root functions of differential operators with matrix coefficients