On the differential operators with periodic matrix coefficients.

Veliev, O.A.

Displaying similar documents to “On the differential operators with periodic matrix coefficients.”

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

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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.

Uniform convergence of the spectral expansion for a differential operator with periodic matrix coefficients.

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A maxmin principle for nonlinear eigenvalue problems with application to a rational spectral problem in fluid-solid vibration

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In this paper we prove a maxmin principle for nonlinear nonoverdamped eigenvalue problems corresponding to the characterization of Courant, Fischer and Weyl for linear eigenproblems. We apply it to locate eigenvalues of a rational spectral problem in fluid-solid interaction.