Email this article Convergence of the Spectral Expansion in the Eigenfunctions of a Fourth-Order Differential Operator
- Authors: Kurbanov V.M.1,2, Godzhaeva K.R.2
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Affiliations:
- Institute of Mathematics and Mechanics
- N. Tusi Azerbaijan State Pedagogical University
- Issue: Vol 55, No 1 (2019)
- Pages: 8-23
- Section: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154912
- DOI: https://doi.org/10.1134/S0012266119010026
- ID: 154912
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Abstract
We study the convergence of spectral expansions of functions of the class Wp1 (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.
About the authors
V. M. Kurbanov
Institute of Mathematics and Mechanics; N. Tusi Azerbaijan State Pedagogical University
Author for correspondence.
Email: q.vali@yahoo.com
Azerbaijan, Baku, AZ1141; Baku, 370000
Kh. R. Godzhaeva
N. Tusi Azerbaijan State Pedagogical University
Email: q.vali@yahoo.com
Azerbaijan, Baku, 370000
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