Аннотация:
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.
Ключевые слова:integro-differential equation, Fourier transform, singular integral equation, Riemann problem.
Образец цитирования:
S. I. Bezrodnykh, N. M. Gordeeva, “Solution of a Boundary Value Problem for a System of Integro-Differential Equations Arising in a Model of Plasma Physics”, Math. Notes, 114:5 (2023), 704–715
\Bibitem{BezGor23}
\by S.~I.~Bezrodnykh, N.~M.~Gordeeva
\paper Solution of a Boundary Value Problem for a System of Integro-Differential Equations Arising in a Model of Plasma Physics
\jour Math. Notes
\yr 2023
\vol 114
\issue 5
\pages 704--715
\mathnet{http://mi.mathnet.ru/mzm14242}
\crossref{https://doi.org/10.1134/S000143462311007X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85187691237}