Second-order -point eigenvalue problems on time scales.
Existence results are established for the resonant problem a.e. on with satisfying Dirichlet boundary conditions. The problem is singular since is a Carathéodory function, with a.e. on and .
In this paper, we consider the nonlinear fourth order eigenvalue problem. We show the existence of family of unbounded continua of nontrivial solutions bifurcating from the line of trivial solutions. These global continua have properties similar to those found in Rabinowitz and Berestycki well-known global bifurcation theorems.