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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.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…