This article is cited in 2 papers

Papers published in the English version of the journal

Solution of a Boundary Value Problem for a System of Integro-Differential Equations Arising in a Model of Plasma Physics

S. I. Bezrodnykh, N. M. Gordeeva

Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow

Abstract: We consider a boundary value problem for a system of integro-differential equations arising when modeling the influence of an electric field on a plasma layer. The paper presents an analytical solution of this problem, which is constructed with the use of theory of the Fourier transform of generalized functions and the Gakhov–Muskhelishvili method for solving singular integral equations and the Riemann boundary value problem.

Keywords: integro-differential equation, Fourier transform, singular integral equation, Riemann problem.

Received: 03.10.2023
Revised: 13.11.2023

Language: English

 English version: Mathematical Notes, 2023, 114:5, 704–715

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