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
收藏
页码：704 / 715
页数：12
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