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| Author(s): |
Éder Rítis Aragão Costa
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | São Carlos. |
| Institution: | Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) |
| Defense date: | 2012-03-14 |
| Examining board members: |
Alexandre Nolasco de Carvalho;
Luiz Antonio Barrera San Martin;
Hildebrando Munhoz Rodrigues;
Ricardo Martins da Silva Rosa;
José Antonio Langa Rosado
|
| Advisor: | Alexandre Nolasco de Carvalho |
| Abstract | |
In this work we investigated the existence of a Lyapunov function associated to a gradient-like system, semigroups or evolution processes. For that, a detailed study of Morse theory plays a central role. As the main consequence of this study we obtain the stability of gradient systems under perturbation (autonomous or not). The applicability of the abstract results discussed here is exemplified by studying systems of differential equations in Banach spaces with unilateral coupling (AU) | |