Open AccessGlobal bifurcation for nonlinear Dirac problems
Author(s) -
Ziyatkhan S. Aliyev,
Humay Sh. Rzayeva
Publication year - 2016
Publication title -
electronic journal of qualitative theory of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.524
H-Index - 33
ISSN - 1417-3875
DOI - 10.14232/ejqtde.2016.1.46
Subject(s) - mathematics , bifurcation , nonlinear system , dirac (video compression format) , physics , quantum mechanics , neutrino
In this paper we consider the nonlinear eigenvalue problems for the onedimensional Dirac equation. To exploit oscillatory properties of the components of the eigenvector-functions of linear one-dimensional Dirac system an appropriate family of sets is introduced. We show the existence of two families of continua of solutions contained in these sets and bifurcating from the intervals of the line of trivial solutions.
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