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- Title
Solution of a Boundary Value Problem for a System of Integro-Differential Equations Arising in a Model of Plasma Physics.
- Authors
Bezrodnykh, S. I.; Gordeeva, N. M.
- 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.
- Subjects
BOUNDARY value problems; PLASMA physics; RIEMANN integral; THEORY of distributions (Functional analysis); FOURIER transforms; SINGULAR integrals; INTEGRO-differential equations
- Publication
Mathematical Notes, 2023, Vol 114, Issue 5/6, p704
- ISSN
0001-4346
- Publication type
Article
- DOI
10.1134/S000143462311007X