A Boundary Value Problem for Noninsulated Magnetic Regime in a Vacuum Diode
| Autor: | N. A. Sidorov, Edixon M. Rojas, Aleksandr Sinitsyn |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Physics
relativistic Vlasov-Maxwell system Physics and Astronomy (miscellaneous) Plane (geometry) General Mathematics lcsh:Mathematics Mathematical analysis singular boundary value problem Topological degree theory Leray-Schauder degree theory Fixed point magnetic insulation lcsh:QA1-939 Integral equation Nonlinear system Chemistry (miscellaneous) Ordinary differential equation Computer Science (miscellaneous) Boundary value problem Diode |
| Zdroj: | Symmetry, Vol 12, Iss 617, p 617 (2020) Symmetry Volume 12 Issue 4 |
| ISSN: | 2073-8994 |
| 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&rsquo s topological degree theory. |
| Databáze: | OpenAIRE |
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