ON GLOBAL CONTINUA OF NONTRIVIAL SOLUTIONS OFNONLINEAR DIRAC PROBLEMS

In this paper we consider global bifurcation from zero and infinity of nontrivial solutions of some nonlinear Dirac problems.We show the existence of two families of global continua of nontrivial solutions of this problem emanating from bifurcation points with respect to the line of trivial solutions that contain asymptotic bifurcation points and are contained in classes of vector-functions with fixed oscillation count.