Global bifurcation of the nondifferentiable Sturm-Liouville problems with indefinite weight and spectral parameter in the boundary condition

In this paper, we consider the nondifferentiable Sturm-Liouville problem with an indefinite weight function and a spectral parameter in the boundary condition. The global bifurcation of solutions to this problem from zero is studied. The existence of four families of unbounded continua of solutions corresponding to the usual nodal properties and bifurcation from the intervals of the line of trivial solutions is proved.