Teoria del grado topologico per una classe di perturbazioni non compatte di applicazioni di Fredholm
On existence and uniqueness of solutions for ordinary differential equations with nonlinear boundary conditions
We prove an existence and uniqueness theorem for a nonlinear functional boundary value problem, that is, an ordinary differential equation with a nonlinear boundary condition. The proof is based on a Global Inversion Theorem of Ambrosetti and Prodi, which is applied to the boundary operator restricted to the manifold of the global solutions to the equation. Our result is a generalization of an analogous existence and uniqueness theorem of G. Vidossich, as it is shown with some examples.
Bifurcation results for a class of perturbed Fredholm maps.
A degree theory for a class of perturbed Fredholm maps.
A degree theory for a class of perturbed Fredholm maps. II.
Forced oscillations for delay motion equations on manifolds.
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