Existence and multiplicity of positive solutions of a nonlinear eigenvalue problem with indefinite weight function (Q734865)

The paper deals with the existence, multiplicity and stability of positive solutions for the following boundary value problem \[ u''(t)+\lambda a(t)f(u)=0, \;\;t\in (0,1), \] \[ u(0)=u(1)=0, \] where \(a\in C[0,1]\) may change sign and \(f\in C(\mathbb R, \mathbb R)\). The proof of the main result is based on global bifurcation techniques.