Qualitative analysis of some models of delay differential equations
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http://hdl.handle.net/10347/26929
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Título: | Qualitative analysis of some models of delay differential equations |
Autor/a: | Buedo Fernández, Sebastián |
Dirección/Titoría: | Liz Marzán, Eduardo Rodríguez López, Rosana |
Centro/Departamento: | Universidade de Santiago de Compostela. Escola de Doutoramento Internacional (EDIUS) Universidade de Santiago de Compostela. Programa de Doutoramento en Matemáticas |
Palabras chave: | Delay differential equations | difference equations | globally attracting equilibria | mathematical models in applied sciences | periodic orbits | |
Data: | 2021 |
Resumo: | This 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. |
URI: | http://hdl.handle.net/10347/26929 |
Dereitos: | Attribution-NonCommercial-NoDerivatives 4.0 Internacional |
Coleccións
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- Área de Ciencias [953]
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