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Convergence of the Spectral Expansion in the Eigenfunctions of a Fourth-Order Differential Operator

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Abstract

We study the convergence of spectral expansions of functions of the class W 1 p (G), p ≥ 1, G = (0, 1), in the eigenfunctions of an ordinary differential operator of even order with integrable coefficients. Sufficient conditions for absolute and uniform convergence are obtained and the rate of uniform convergence of these expansions on the interval ̅G is found.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, Baku, AZ1141, Azerbaijan

    V. M. Kurbanov

  2. N. Tusi Azerbaijan State Pedagogical University, Baku, 370000, Azerbaijan

    V. M. Kurbanov & Kh. R. Godzhaeva

Authors
  1. V. M. Kurbanov
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  2. Kh. R. Godzhaeva
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Correspondence to V. M. Kurbanov.

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Russian Text © V.M. Kurbanov, Kh.R. Godzhaeva, 2019, published in Differentsial’nye Uravneniya, 2019, Vol. 55, No. 1, pp. 10–24.

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Kurbanov, V.M., Godzhaeva, K.R. Convergence of the Spectral Expansion in the Eigenfunctions of a Fourth-Order Differential Operator. Diff Equat 55, 8–23 (2019). https://doi.org/10.1134/S0012266119010026

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  • DOI: https://doi.org/10.1134/S0012266119010026

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