Abstract

ALLAUCA, Steven  and  LEIVA, Hugo. Controllability of impulsive semilinear retarded differential equations with infinite delay and nonlocal conditions. Novasinergia [online]. 2022, vol.5, n.2, pp.6-22.  Epub July 05, 2022. ISSN 2631-2654.  https://doi.org/10.37135/ns.01.10.01.

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 assumed on 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.

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