Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/108830
Title: | Tools of differential calculus to solve funcional equations |
Author: | García Arenas, Gabriel |
Director/Tutor: | Fontich, Ernest, 1955- |
Keywords: | Equacions funcionals Treballs de fi de grau Espais de Banach Funcions analítiques Anàlisi global (Matemàtica) Espais vectorials normats Functional equations Bachelor's theses Banach spaces Analytic functions Global analysis (Mathematics) Normed linear spaces |
Issue Date: | 26-Jun-2016 |
Abstract: | 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. |
Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Ernest Fontich |
URI: | http://hdl.handle.net/2445/108830 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
memoria.pdf | Memòria | 270.48 kB | Adobe PDF | View/Open |
This item is licensed under a Creative Commons License