This article is cited in 1 paper

Partial Differential Equations

Solvability theory for singular integro-differential equations in the class of generalized functions

N. S. Gabbasov

Naberezhnye Chelny Institute, Kazan (Volga Region) Federal University, 423810, Naberezhnye Chelny, Russia

Abstract: A linear integro-differential equation with a singular differential operator in the principal part is studied. For its approximate solution in the space of generalized functions, a special generalized version of the collocation method is proposed and substantiated.

Key words: integro-differential equation, approximate solution, direct method, theoretical justification.

UDC: 519.642

Received: 22.07.2024
Revised: 22.07.2024
Accepted: 23.08.2024

DOI: 10.31857/S0044466925010058

 English version: Computational Mathematics and Mathematical Physics, 2025, 65:1, 89–101

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