3 papers
math.CA2025
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…
math.OC2025
Impulsive delay differential inclusions applied to optimization problems
Irene Benedetti, Paola Rubbioni
We study a class of semilinear impulsive differential inclusions with infinite delay in Banach spaces. The model incorporates multivalued nonlinearities, impulsive effects, and inf…
math.CA2025
The Sturm-Liouville Hierarchy of evolution equations and the Weyl functions of related spectral problems
Paola Rubbioni, Anna Rita Sambucini, Luca Zampogni
The goal of the present paper is that of defining the so-called Sturm-Liouville hierarchy of evolution equations, firstly by using the zero-curvature formalism, then by using the a…