BAKU STATE UNIVERSITY JOURNAL of MATHEMATICS & COMPUTER SCIENCES
ISSN: 3006-6484 (ONLINE);
GLOBAL BIFURCATION FROM INFINITY IN NONLINEARIZABLE DIRAC PROBLEMS WITH A SPECTRAL PARAMETER IN THE BOUNDARY CONDITIONS
Received: 10-Feb-2024 Accepted: 04-Apr-2024 Published: 25-May-2024 Download PDF
Nigar Aliyeva
Abstract
In this paper we consider global bifurcation from infinity in nonlinearizable Dirac problem with a spectral parameter contained in both boundary conditions. We prove the existence of two families of unbounded components of the set of nontrivial solutions to this problem, which bifurcate from asymptotic intervals and contained in classes of vector- functions possessing oscillatory properties of the eigenvector-functions of the corresponding linear Dirac problem in the neighborhood of these intervals.