Impulsive semilinear heat equation with delay in control and in state

Oscar Camacho, Hugo Leiva

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

32 Citas (Scopus)

Resumen

In this paper, we prove the interior approximate controllability of the impulsive semilinear heat equation with delay in control and in state by proving first that the linear heat equation with delay in control is approximately controllable. After that, we add impulses and a nonlinear perturbation with delay in state, and using Rothe's fixed point theorem, we prove that the interior approximate controllability of the impulsive semilinear system. Finally, we present some open problems and a possible general framework to study the controllability of impulsive semilinear diffusion process in Hilbert spaces with delay in control and in state.

Idioma originalInglés
Páginas (desde-hasta)1075-1089
Número de páginas15
PublicaciónAsian Journal of Control
Volumen22
N.º3
DOI
EstadoPublicada - 1 may. 2020
Publicado de forma externa

Huella

Profundice en los temas de investigación de 'Impulsive semilinear heat equation with delay in control and in state'. En conjunto forman una huella única.

Citar esto