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Revista Colombiana de Matemáticas
Print version ISSN 0034-7426
Abstract
RENDON, Leonardo; SINITSYN, Alexandre V and SIDOROV, Nikolai A. Bifurcation points of nonlinear operators: existence theorems, asymptotics and application to the Vlasov-Maxwell system. Rev.colomb.mat. [online]. 2016, vol.50, n.1, pp.85-107. ISSN 0034-7426. https://doi.org/10.15446/recolma.v50n1.62200.
Abstract Existence theorems about bifurcation points of solutions for nonlinear operator equation in Banach spaces are proved. The sufficient conditions of bifurcation of solutions of boundary-value problem for Vlasov-Maxwell system are obtained. The analytical method of Lyapunov-Schmidt-Trenogon is employed.
Keywords : plasma; bifurcation points; Conley index; nonlinear analysis; Vlasov-Maxwell system; Lyapunov-Schmidt-Trenogin method.