Book Searching in Stability Theory. Can anyone recommend me a book on Stability Theory with an intuitive approach? 
I have some course notes on that subject, but it's really abstract and theoretical. I really want to understand it, ex: 
Stable by Lyapunov/Asymptotically Stable/Globally Asymptotically Stable/  Lyapunov's Stability Theorem/ Hurwitz criteria...
If there are many exercises (Or examples) with instructions in books which are wonderful for me.
Any suggestions about titles and authors's books (free download :) ) or pdf/djvu file, it will be appreciated. Thanks!

U can check the following Books: NonLinear Differential Equations and Dynamical Systems Second edition ---- By Ferdinand Verhulst 
Or get J. Cronin O.D.E (Introduction and qualitative Theory)
Best Of luck
