Liz Marzán, EduardoRodríguez López, RosanaBuedo Fernández, Sebastián2021-09-152021-09-152021http://hdl.handle.net/10347/26929This thesis concerns the study of the global dynamics of delay differential equations of the so-called production and destruction type, which find applications to the modelling of several phenomena in areas such as population growth dynamics, economics, cell production, etc. For instance, by applying tools coming from discrete dynamics, we provide sufficient conditions for the existence of globally attracting equilibria for families of scalar or multidimensional equations. Moreover, we extend some known results in the scalar non-autonomous case by the use of integral inequalities. Finally, the existence of periodic solutions is analysed in the general context of infinite delay, impulses and periodic coefficients.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Delay differential equationsdifference equationsglobally attracting equilibriamathematical models in applied sciencesperiodic orbitsMaterias::Investigación::12 Matemáticas::1202 Análisis y análisis funcional::120219 Ecuaciones diferenciales ordinariasMaterias::Investigación::12 Matemáticas::1202 Análisis y análisis funcional::120207 Ecuaciones en diferenciasdoctoral thesisopen access