Controlabilidad de ecuaciones diferenciales retardadas semilineales impulsivas con retardo infinito y condiciones no locales

Abstract

In this paper, we prove the exact controllability of semilinear retarded equations with infinity delay, impulses and nonlocal conditions; proving the conjecture that the controllability is preserve under the influence of delay, impulses and nonlocal conditions if some conditions are assumedon the nonlinear terms. As an application of our result, we present an example were all the conditions assumed are verified.

Keywords

• controllability
• infinite delay
• impulses
• nonlocal conditions
• rothe’s fixed point theorem
• semilinear retarded equations