On Application of the Lyapunov-Schmidt-Trenogin Method to Bifurcation   Analysis of the Vlasov-Maxwell system
  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. 
Nikolai A. Sidorov
math-ph math.FA math.MP