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Special variants of collocation method for integral equations in a singular case

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Abstract

The present paper deals with a linear integral equation of the third kind with fixed singularities in its kernel. We propose and substantiate special generalized methods for its approximate solving in a space of generalized funtions.

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Authors and Affiliations

  1. Kazan (Volga Region) Federal University, Naberezhnye Chelny Institute, pr. Syuyumbike 10, Naberezhnye Chelny, 423812, Russia

    N. S. Gabbasov

  2. Kazan (Volga Region) Federal University, ul. Kremlyovskaya 18, Kazan, 420008, Russia

    R. R. Zamaliev

Authors
  1. N. S. Gabbasov
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  2. R. R. Zamaliev
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Correspondence to N. S. Gabbasov.

Additional information

Original Russian Text © N.S. Gabbasov, R.R. Zamaliev, 2017, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, No. 5, pp. 45–53.

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Gabbasov, N.S., Zamaliev, R.R. Special variants of collocation method for integral equations in a singular case. Russ Math. 61, 38–45 (2017). https://doi.org/10.3103/S1066369X1705005X

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  • DOI: https://doi.org/10.3103/S1066369X1705005X

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