Some global results for nonlinear Sturm–Liouville problems with spectral parameter in the boundary condition
Volume 115 / 2015
Annales Polonici Mathematici 115 (2015), 75-87
MSC: Primary 34B15, 34B24, 34C10, 34C23, 34L15, 45C05, 47J10, 47J15.
DOI: 10.4064/ap115-1-6
Abstract
We consider nonlinear Sturm–Liouville problems with spectral parameter in the boundary condition. We investigate the structure of the set of bifurcation points, and study the behavior of two families of continua of nontrivial solutions of this problem contained in the classes of functions having oscillation properties of the eigenfunctions of the corresponding linear problem, and bifurcating from the points and intervals of the line of trivial solutions.
