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

被引：1

作者：

Bezrodnykh, S. I. ^{[1
]}

Gordeeva, N. M. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Fed Res Ctr Comp Sci & Control, Moscow 119333, Russia

[2] Bauman Moscow State Tech Univ, Moscow 105005, Russia

来源：

MATHEMATICAL NOTES | 2023年 / 114卷 / 5-6期

关键词：

integro-differential equation; Fourier transform; singular integral equation; Riemann problem;

D O I：

10.1134/S000143462311007X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：704 / 715

页数：12

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