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dc.contributor.advisorLiz Marzán, Eduardo
dc.contributor.advisorRodríguez López, Rosana
dc.contributor.authorBuedo Fernández, Sebastián
dc.description.abstractThis 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.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.subjectDelay differential equations
dc.subjectdifference equations
dc.subjectglobally attracting equilibria
dc.subjectmathematical models in applied sciences
dc.subjectperiodic orbits
dc.subject.classificationMaterias::Investigación::12 Matemáticas::1202 Análisis y análisis funcional::120219 Ecuaciones diferenciales ordinarias
dc.subject.classificationMaterias::Investigación::12 Matemáticas::1202 Análisis y análisis funcional::120207 Ecuaciones en diferencias
dc.titleQualitative analysis of some models of delay differential equations
dc.contributor.affiliationUniversidade de Santiago de Compostela. Escola de Doutoramento Internacional (EDIUS)
dc.contributor.affiliationUniversidade de Santiago de Compostela. Programa de Doutoramento en Matemáticas

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