Bohner, MartinSivoli, ZoraidaLeiva, Hugo2024-10-102024-10-102020Bohner, M., Duque, C., Leiva, H., & Sivoli, Z. (2024). A lemma on C0-semigroups on time scales and approximate controllability of the heat dynamic equation. Quaestiones Mathematicae, 47(9), 1807–1826. https://doi.org/10.2989/16073606.2024.23458451807–1826https://repositorio.21.edu.ar/handle/ues21/29245In this paper, we present a lemma that allows us to characterize a broad class of C0-semigroups on time scales, which can be applied to prove existence and uniqueness of solutions of systems of partial differential equations where the time domain is a time scale. The result obtained is applied to study the controllability of the heat equation on time scales. The lemma presented in this paper can be seen as a unification of the one proved by H. Leiva in [28], for semigroups in [0,∞).spaAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Escalas temporalesC0-semigruposGenerador de infinitésimosEcuación térmicaCapacidad de controlarticle