A projection method for computing turning points of nonlinear equations (Q1195958)

Let \(H\) be a real Hilbert space, \(\mathbb{R}\) the set of all real numbers and \(T: H\times \mathbb{R} \to H\) a sufficiently smooth mapping. A direct method for determining simple turning points of nonlinear equations of the type \(F(u,\lambda) = u-T(u,\lambda) = 0\), \(u\in H\), \(\lambda \in \mathbb{R}\), is presented with applications and numerical examples.