Global bifurcation in nonlinear Dirac problems with spectral parameter in the boundary condition
Keywords
Nonlinear Dirac problem, spectral parameter, bifurcation point, eigenvector-function, global continuaAbstract
In this paper we consider nonlinear eigenvalue problems for a one-dimensional Dirac equation with spectral parameter in the boundary condition. We investigate local and global bifurcations of nontrivial solutions to these problems. The existence of unbounded continua of nontrivial solutions bifurcating from points and intervals of the line of trivial solutions is shown.References
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