BAKU STATE UNIVERSITY JOURNAL of
MATHEMATICS & COMPUTER SCIENCES
ISSN: 3006-6484 (ONLINE);
GLOBAL BIFURCATION OF SOLUTIONS FROM ZERO AND INFINITY OF SOME NONLINEAR EIGENVALUE PROBLEMS WITH SPECTRAL PARAMETER IN TWO OF BOUNDARY CONDITIONS
Received: 18-Sep-2025 Accepted: 10-Oct-2025 Published: 06-Jan-2026 Read PDFDownload PDF
Faiq M. Namazov
DOI:
Abstract
We consider global bifurcation of nonlinear eigenvalue problems for ordinary differential equations fourth order with a spectral parameter in two of boundary conditions. The existence of two pairs of two families of global continua of solutions, emanating from intervals of the line of trivial solutions and the line which are contained in classes of functions that have oscillatory properties of eigenfunctions of a linear problem in the neighborhoods of these intervals, is established.