Repositorio de producción científica de la Universidad de Sevilla

Desigualdades de Lyapunov para edos con diferentes condiciones de contorno

 

Advanced Search
 
Opened Access Desigualdades de Lyapunov para edos con diferentes condiciones de contorno
Cites
Show item statistics
Icon
Export to
Author: Cayetano Alfaro, Vanesa
Director: Suárez Fernández, Antonio
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: The objective of this work is to study the definition and main properties of Lp Lyapunov constants, 1 ≤ p ≤ ∞, for scalar ordinary differential equations with different boundary conditions, although we deal with more details Neumann boundary conditions. We will focus on the study of the characterization of such constant as a minimum of some special minimization problem. It includes linear resonant problems, but at the end of this work, we use the linear results to study nonlinear resonant problems, specific with Neumann boundary conditions. To study all these problems, we have used differents techniques of Functional Analysis.
Cite: Cayetano Alfaro, V. (2017). Desigualdades de Lyapunov para edos con diferentes condiciones de contorno. (Trabajo Fin de Grado Inédito). Universidad de Sevilla, Sevilla.
Size: 492.0Kb
Format: PDF

URI: http://hdl.handle.net/11441/63099

This work is under a Creative Commons License: 
Attribution-NonCommercial-NoDerivatives 4.0 Internacional

This item appears in the following Collection(s)