Controlabilidad exacta para una ecuación de onda integro-diferencial con retardo

Abstract

In this paper we present sufficient conditions to guarantee the Exact Controllability of a non-lineal wave equation, which boundary conditions are of Dirichlet type and the non-linearity is expressed by an integral term including an expression with delay. To carry out this study, the equation is written like an ordinary, non lineal first order abstract system in an appropriate Hilbert space. The used technique is based on the semigroups theory and the theory of Control.