3 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.CA2022
Hybrid measure differential equations: existence of solutions and continuous dependence on parameters
Claudio A. Gallegos, Hernán R. Henríquez, Jaqueline G. Mesquita
This paper is devoted to study the qualitative properties of hybrid measure differential equations (HMDEs, for short). We establish several results on the existence of global solut…