Bifurcation points of nonlinear operators: existence theorems, asymptotics and application to the Vlasov-Maxwell system

Existence theorems about bifurcation points of solutions for nonlinear operator equation in Banach spaces are proved. The sucient conditions of bifurcation of solutions of boundary-value problem for Vlasov-Maxwell system are obtained. The analytical method of Lyapunov-Schmidt-Trenogon is employed.

Autores:
Rendón, Leonardo
Sinitsyn, Alexandre V.
Sidorov, Nikolai A.
Tipo de recurso:
Article of journal
Fecha de publicación:
2016
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/66456
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/66456
http://bdigital.unal.edu.co/67484/
Palabra clave:
51 Matemáticas / Mathematics
plasma
bifurcation points
Conley index
nonlinear analysis
Vlasov-Maxwell system
Lyapunov-Schmidt-Trenogin method
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional