activity
20242026
collaborators

5 papers

math.OC2026

Controllability of time-varying lumped semilinear systems

Hernán R. Henríquez, Matthieu F. Pinaud

In this work we are concerned with the controllability of time-varying lumped control systems governed by a semilinear differential equation. We consider the semilinear system as a…

math.CA2026

Evolution families and variation of constants formula for abstract functional differential equations with time-dependent infinite delay

Claudio Carrasco, Claudio A. Gallegos, Hernán R. Henríquez +1

In this paper, we consider a class of first-order abstract retarded functional differential equations in Banach spaces, incorporating a time-dependent infinite delay governed by a…

math.FA2026

On -spaces of functions with values in locally convex spaces

Matthieu F. Pinaud, Humberto Prado

We study Lusin-measurable functions with values in locally convex spaces. In particular, the behavior of pointwise limits of sequences of Lusin-measurable functions and exhibit pat…

math.DG2025

Manifolds of mappings associated with real-valued function spaces and natural mappings between them

Matthieu F. Pinaud

Let be a compact smooth manifold with corners and be a finite dimensional smooth manifold without boundary which admits local addition. We define a smooth manifold structur…

math.FA2024

Manifolds of absolutely continuous functions with values in an infinite-dimensional manifold and regularity properties of half-Lie groups

Matthieu F. Pinaud

For , we define a smooth manifold structure on the set of absolutely continuous functions with -derivatives for all r…