Opened Access Las ecuaciones de Pfaff
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Author: Antón Díaz, Andrea
Director: Rodríguez Bellido, María Ángeles
Department: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Date: 2017-06
Document type: Final Degree Work
Academic Title: Universidad de Sevilla. Grado en Matemáticas
Abstract: Pfaff equations are a type of differential equations that appear in some Physical and Geometric problems. In the present project a detailed study of the Pfaff equations is carried out with the aim of describing and solving these equations whenever possible. Therefore, the conditions both necessary and sufficient, for the existence of solution are obtained, as well as the explanation of different resolution methods. On the other hand, it shows some of its applications and analyzes the relation that it keeps with the differential 1-forms. Moreover, in order to provide a better understanding of the content several specific examples are also provided.
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