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Collocation Methods for a Class of Singular Integro-Differential Equations

  • INTEGRAL AND INTEGRO-DIFFERENTIAL EQUATIONS
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Abstract

A linear integro-differential equation with a singular differential operator in the principal part is studied. Special versions of the generalized collocation method are proposed and justified to find its approximate solution 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. Collocation Methods for a Class of Singular Integro-Differential Equations. Diff Equat 58, 1225–1232 (2022). https://doi.org/10.1134/S0012266122090075

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  • DOI: https://doi.org/10.1134/S0012266122090075

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