3 citations · 3 across the 7 of their papers we have counts for
8 papers
Forced oscillations for generalized -Laplacian equations with Carathéodory perturbations
Alessandro Calamai, Maria Patrizia Pera, Marco Spadini
Using topological methods, we study the structure of the set of forced oscillations of a class of parametric, implicit ordinary differential equations with a generalized -Laplac…
An introduction to topological degree in Euclidean spaces
Pierluigi Benevieri, Massimo Furi, Maria Patrizia Pera +1
This paper aims to provide a careful and self-contained introduction to the theory of topological degree in Euclidean spaces. It is intended for people mostly interested in analysi…
Periodic perturbations of a class of scalar second order functional differential equations
Alessandro Calamai, Maria Patrizia Pera, Marco Spadini
We study, by means of a topological approach, the forced oscillations of second order functional retarded differential equations subject to periodic perturbations. We consider a de…
Global persistence of the unit eigenvectors of perturbed eigenvalue problems in Hilbert spaces: the odd multiplicity case
Pierluigi Benevieri, Alessandro Calamai, Massimo Furi +1
We study the persistence of eigenvalues and eigenvectors of perturbed eigenvalue problems in Hilbert spaces. We assume that the unperturbed problem has a nontrivial kernel of odd d…
A degree associated to linear eigenvalue problems in Hilbert spaces and applications to nonlinear spectral theory
Pierluigi Benevieri, Alessandro Calamai, Massimo Furi +1
We extend to the infinite dimensional context the link between two completely different topics recently highlighted by the authors: the classical eigenvalue problem for real square…
Global persistence of the unit eigenvectors of perturbed eigenvalue problems in Hilbert spaces
Pierluigi Benevieri, Alessandro Calamai, Massimo Furi +1
We consider the nonlinear eigenvalue problem , , where are real parameters, are bounded linear operators…