Resumo:
The objective of this dissertation is to study the Global Asymptotic Stability Problem of
vector fields. After presenting and clarifying the problems, a brief review of some topics
of the Qualitative Theory of Ordinary Differential Equations is made. The starting point
of this work is the connection of the Markus–Yamabe Conjecture with the main subject of
study. Some other classes of Globally Asymptotically Stable vector fields are also studied.
