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