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Summability of series in the root functions of boundary-value problems of Bitsadze-Samarskii type

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Abstract

We investigate the Abel summability of a system of eigenfunctions and associated functions of Bitsadze-Samarskii-type boundary-value problems for elliptic equations in a rectangle. These problems are reduced to a boundary-value problem for elliptic operator differential equations with an operator in boundary conditions in the corresponding spaces and are studied by the method of operator differential equations.

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Authors and Affiliations

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

    I. V. Aliev

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  1. I. V. Aliev
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 4, pp. 443–452, April, 2008.

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Aliev, I.V. Summability of series in the root functions of boundary-value problems of Bitsadze-Samarskii type. Ukr Math J 60, 509–520 (2008). https://doi.org/10.1007/s11253-008-0080-1

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  • DOI: https://doi.org/10.1007/s11253-008-0080-1

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