5 papers
Stieltjes-generated moment functionals and orthogonality: a transfer principle and an image theorem
Iván Area, Francisco J. Fernández, F. Adrián F. Tojo
We study the orthogonality induced by Stieltjes derivatives from the point of view of ordinary polynomial moment functionals. If \(g\) is a derivator and the Stieltjes monomials \(…
Vanishing Events and Regularity-Conditioned Reachability in Linear Stieltjes Systems
Francisco J. Fernández
We study linear Stieltjes control systems in which actuation is concentrated at finitely many temporal events, and we ask what happens when one of those events progressively loses…
Banach-Valued Stieltjes Calculus and Linear Parabolic Evolution Equations with Posterior States
Francisco J. Fernández
We develop a Banach-valued lateral Stieltjes calculus adapted to linear evolution equations on a Gelfand triple \[ V\hookrightarrow H\simeq H^*\hookrightarrow V^*. \] The evolution…
Reachability and exact controllability of linear Stieltjes differential systems
Francisco J. Fernández
We study reachability and exact controllability for systems driven by a nondecreasing left-continuous Stieltjes derivator whose measure may have continuous, singular-continuous and…
Exact discrete-adjoint optimization of trap timing and placement in a Stieltjes-time reaction-diffusion model: A Galicia case study
Francisco J. Fernández, Iván Area
Seasonal population models must combine diffusion, inactive periods and abrupt biological transfers while remaining differentiable with respect to localized interventions. We formu…