Nonlinear Differential Equations on Bounded and Unbounded Domains
Differential equations represent one of the strongest connections between Mathematics and real life. This is due to the fact that almost all the physical phenomena, as well as many other in economy, biology or chemistry, are modelled by differential equations. This Thesis includes a detailed study o...
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| Formato: | tesis doctoral |
| Fecha de publicación: | 2019 |
| País: | España |
| Recursos: | Universidad de Santiago de Compostela (USC) |
| Repositorio: | Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela |
| Idioma: | inglés |
| OAI Identifier: | oai:minerva.usc.gal:10347/18358 |
| Acesso em linha: | http://hdl.handle.net/10347/18358 |
| Access Level: | acceso abierto |
| Palavra-chave: | Materias::Investigación::12 Matemáticas::1202 Análisis y análisis funcional::120209 Funciones de una variable compleja Materias::Investigación::12 Matemáticas::1202 Análisis y análisis funcional::120215 Ecuaciones integrales |
| Resumo: | Differential equations represent one of the strongest connections between Mathematics and real life. This is due to the fact that almost all the physical phenomena, as well as many other in economy, biology or chemistry, are modelled by differential equations. This Thesis includes a detailed study of nonlinear differential equations, both on bounded and unbounded domains. In particular, we analyze the qualitative properties of the solutions of nonlinear differential equations, focusing on the study of constant sign solutions on the whole domain of definition or, at least, on some subset of it. The main technique is based on the construction of an abstract formulation included into functional analysis, in which the solutions of the differential equations coincide with the fixed points of certain operators. |
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