5 papers
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…
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…
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…
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…
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…