A Boundary Value Problem for Noninsulated Magnetic Regime in a Vacuum Diode

Autor:	Edixon M. Rojas, Nikolai A. Sidorov, Aleksandr V. Sinitsyn
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	relativistic Vlasov-Maxwell system magnetic insulation singular boundary value problem Leray-Schauder degree theory Mathematics QA1-939
Zdroj:	Symmetry, Vol 12, Iss 4, p 617 (2020)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym12040617
Popis:	In this paper, we study the stationary boundary value problem derived from the magnetic (non) insulated regime on a plane diode. Our main goal is to prove the existence of non-negative solutions for that nonlinear singular system of second-order ordinary differential equations. To attain such a goal, we reduce the boundary value problem to a singular system of coupled nonlinear Fredholm integral equations, then we analyze its solvability through the existence of fixed points for the related operators. This system of integral equations is studied by means of Leray-Schauder’s topological degree theory.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/4171b7112192484fb7b29aec4209ea05 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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