5 papers · 1 filter
A positive eigenvalue result for semilinear differential equations in Banach spaces with functional initial conditions
Gennaro Infante, Paola Rubbioni
We study the existence of positive eigenvalues with associated nonnegative mild eigenfunctions for a class of abstract initial value problems in Banach spaces with functional, poss…
An eigenvalue result for Hammerstein integral equations with sign changing nonlinearities and functional terms
Gennaro Infante, Giuseppe Antonio Veltri
We discuss, via a version of the Birkhoff-Kellogg theorem, the existence of positive and negative eigenvalues of Hammerstein integral equations with sign-changing nonlinearities an…
Eigenvalues of a third order BVP subject to functional BCs
Gennaro Infante, Paolo Lucisano
We discuss the existence of eigenvalues for a third order boundary value problem subject to functional boundary conditions and higher order derivative dependence in the nonlinearit…
A Birkhoff-Kellogg type theorem for discontinuous operators with applications
Alessandro Calamai, Gennaro Infante, Jorge RodrÃguez-López
By means of fixed point index theory for multi-valued maps, we provide an analogue of the classical Birkhoff--Kellogg Theorem in the context of discontinuous operators acting on af…
A hybrid Krasnosel'skiÄ-Schauder fixed point theorem for systems
Gennaro Infante, Giovanni Mascali, Jorge RodrÃguez-López
We provide new results regarding the localization of the solutions of nonlinear operator systems. We make use of a combination of Krasnosel'ski\uı cone compression-expansion type…