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

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

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 generaliz...

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Veröffentlicht in:Mathematical Notes 2023-12, Vol.114 (5-6), p.704-715
Hauptverfasser: Bezrodnykh, S. I., Gordeeva, N. M.
Format: Artikel
Sprache:eng
Schlagworte:
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Boundary value problems
Differential equations
Electric fields
Exact solutions
Fourier transforms
Mathematical models
Mathematics
Mathematics and Statistics
Plasma physics
Singular integral equations
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Beschreibung
Zusammenfassung: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.
ISSN:0001-4346
1067-9073
1573-8876
DOI:10.1134/S000143462311007X