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Spectral properties of an even-order differential operator

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Abstract

We present the spectral properties of an even-order differential operator whose domain is described by periodic and antiperiodic boundary conditions or the Dirichlet conditions. We derive an asymptotic formula for the eigenvalues, estimates for the deviations of spectral projections, and estimates for the equiconvergence rate of spectral decompositions. Our asymptotic formulas for eigenvalues refine well-known ones.

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Authors and Affiliations

  1. Voronezh State University, Voronezh, Russia

    D. M. Polyakov

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  1. D. M. Polyakov
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Correspondence to D. M. Polyakov.

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Original Russian Text © D.M. Polyakov, 2016, published in Differentsial’nye Uravneniya, 2016, Vol. 52, No. 8, pp. 1133–1137.

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Polyakov, D.M. Spectral properties of an even-order differential operator. Diff Equat 52, 1098–1103 (2016). https://doi.org/10.1134/S0012266116080176

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  • DOI: https://doi.org/10.1134/S0012266116080176

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