# name
Tools of differential calculus to solve funcional equations

# metadata.dc.description[].value
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Ernest Fontich

# metadata.dc.description.abstract[].value
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.

# metadata.dc.rights[].value
cc-by-nc-nd (c) Gabriel García Arenas, 2016

# metadata.dc.source[].value
Treballs Finals de Grau (TFG) - Matemàtiques

# metadata.dc.title[].value
Tools of differential calculus to solve funcional equations