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On the Approximate Solution of a Class of Nonlinear Multidimensional Weakly Singular Integral Equations

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Abstract

In this work, for a class of nonlinear weakly singular integral equations defined in the space of quadratically summable functions in a circle, the rationale for the general projection method is given. Using the obtained general results, the convergence of the well-known Galerkin method is proved.

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Authors and Affiliations

  1. Lobachevskii Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University, 420008, Kazan, Tatarstan, Russia

    Yu. R. Agachev & R. K. Gubaidullina

Authors
  1. Yu. R. Agachev
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  2. R. K. Gubaidullina
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Correspondence to Yu. R. Agachev or R. K. Gubaidullina.

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(Submitted by F. G. Avkhadiev)

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Agachev, Y.R., Gubaidullina, R.K. On the Approximate Solution of a Class of Nonlinear Multidimensional Weakly Singular Integral Equations. Lobachevskii J Math 41, 2103–2109 (2020). https://doi.org/10.1134/S1995080220110037

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  • DOI: https://doi.org/10.1134/S1995080220110037

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