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On numerical solving integral equations of the third kind with singularities in a kernel

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Abstract

In the present paper we study a linear integral equation of the third kind with fixed singularities in a kernel. We propose and investigate certain special generalized methods for the approximate solving of these equations in the space of generalized functions.

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Authors and Affiliations

  1. Naberezhnye Chelny Institute of Kazan (Volga Region) Federal University, pr. Mira 68/19, Naberezhnye Chelny, 423810, Russia

    N. S. Gabbasov

  2. Naberezhnye Chelny Branch of Kazan Institute of Economics, Management and Law, pr. Vakhitova 53/02, Naberezhnye Chelny, 423815, Russia

    Z. Kh. Galimova

Authors
  1. N. S. Gabbasov
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  2. Z. Kh. Galimova
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Corresponding author

Correspondence to N. S. Gabbasov.

Additional information

Original Russian Text © N.S. Gabbasov, Z.Kh. Galimova, 2016, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, No. 12, pp. 36–45.

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Gabbasov, N.S., Galimova, Z.K. On numerical solving integral equations of the third kind with singularities in a kernel. Russ Math. 60, 28–35 (2016). https://doi.org/10.3103/S1066369X16120057

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  • DOI: https://doi.org/10.3103/S1066369X16120057

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