| dc.contributor |
Fontich, Ernest, 1955- |
|
| dc.creator |
García Arenas, Gabriel |
|
| dc.date |
2017-03-23T11:39:19Z |
|
| dc.date |
2017-03-23T11:39:19Z |
|
| dc.date |
2016-06-26 |
|
| dc.date.accessioned |
2024-12-16T10:24:00Z |
|
| dc.date.available |
2024-12-16T10:24:00Z |
|
| dc.identifier |
http://hdl.handle.net/2445/108830 |
|
| dc.identifier.uri |
http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/16942 |
|
| dc.description |
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Ernest Fontich |
|
| dc.description |
In this work we first prove the converse of Taylor’s Theorem. This allows us to prove next the Omega-lemma and the differentiability of the Evaluation map for certain Banach spaces of analytic functions. These two theorems together with the Implicit Function Theorem are applied to certain functional equations in order to
prove Poincaré’s Linearization Theorem and the Analytic Stable Manifold Theorem. |
|
| dc.format |
47 p. |
|
| dc.format |
application/pdf |
|
| dc.language |
eng |
|
| dc.rights |
cc-by-nc-nd (c) Gabriel García Arenas, 2016 |
|
| dc.rights |
http://creativecommons.org/licenses/by-nc-nd/3.0/es |
|
| dc.rights |
info:eu-repo/semantics/openAccess |
|
| dc.source |
Treballs Finals de Grau (TFG) - Matemàtiques |
|
| dc.subject |
Equacions funcionals |
|
| dc.subject |
Treballs de fi de grau |
|
| dc.subject |
Espais de Banach |
|
| dc.subject |
Funcions analítiques |
|
| dc.subject |
Anàlisi global (Matemàtica) |
|
| dc.subject |
Espais vectorials normats |
|
| dc.subject |
Functional equations |
|
| dc.subject |
Bachelor's theses |
|
| dc.subject |
Banach spaces |
|
| dc.subject |
Analytic functions |
|
| dc.subject |
Global analysis (Mathematics) |
|
| dc.subject |
Normed linear spaces |
|
| dc.title |
Tools of differential calculus to solve funcional equations |
|
| dc.type |
info:eu-repo/semantics/bachelorThesis |
|