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On a Class of Integro-Differential Equations in the Singular Case

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Abstract

We study a linear integro-differential equation with a singular differential operator in the leading part. A special generalized version of the collocation method is proposed and justified for the approximate solution of this equation in the space of generalized functions.

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Authors and Affiliations

  1. Naberezhnye Chelny Institute (Branch), Kazan (Volga Region) Federal University, Naberezhnye Chelny, Tatarstan, 423812, Russia

    N. S. Gabbasov

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  1. N. S. Gabbasov
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Correspondence to N. S. Gabbasov.

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Translated by V. Potapchouck

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Gabbasov, N.S. On a Class of Integro-Differential Equations in the Singular Case. Diff Equat 57, 857–867 (2021). https://doi.org/10.1134/S001226612107003X

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  • DOI: https://doi.org/10.1134/S001226612107003X

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