On Application of the Lyapunov-Schmidt-Trenogin Method to Bifurcation Analysis of the Vlasov-Maxwell system

Abstract

The review of existence theorems of bifurcation points of solutions for nonlinear operator equation in Banach spaces is presented. The sufficient conditions of bifurcation of solutions of boundary-value problem for Vlasov-Maxwell system are considered. The analytical method of Lyapunov-Schmidt-Trenogin is employed.

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