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2009 On the Differential Operators with Periodic Matrix Coefficients
O. A. Veliev
Abstr. Appl. Anal. 2009: 1-21 (2009). DOI: 10.1155/2009/934905

Abstract

We obtain asymptotic formulas for eigenvalues and eigenfunctions of the operator generated by a system of ordinary differential equations with summable coefficients and quasiperiodic boundary conditions. Then by using these asymptotic formulas, we find conditions on the coefficients for which the number of gaps in the spectrum of the self-adjoint differential operator with the periodic matrix coefficients is finite.

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O. A. Veliev. "On the Differential Operators with Periodic Matrix Coefficients." Abstr. Appl. Anal. 2009 1 - 21, 2009. https://doi.org/10.1155/2009/934905

Information

Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 1195.34134
MathSciNet: MR2559278
Digital Object Identifier: 10.1155/2009/934905

Rights: Copyright © 2009 Hindawi

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