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

Leonardo Rendón; Alexandre V. Sinitsyn; Nikolai A. Sidorov

doi:10.15446/recolma.v50n1.62200

Publicado

2016-01-01

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

DOI:

https://doi.org/10.15446/recolma.v50n1.62200

Palabras clave:

plasma, bifurcation points, Conley index, nonlinear analysis, Vlasov-Maxwell system, Lyapunov-Schmidt-Trenogin method (en)

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Autores/as

Leonardo Rendón Universidad Nacional de Colombia
Alexandre V. Sinitsyn Universidad Nacional de Colombia
Nikolai A. Sidorov Irkutsk State University

Resumen (en)

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.