Università Roma Tre

Local existence and uniqueness theorems, existence times and extensions. Escape from compact sets. Comparison theorems. Behavior of linear systems with constant coefficients. Jordan canonical form.
Differentiable functions on a Banach space. The Implicit Function Theorem. Applications to the search of periodic solutions. Lyapunov Schmidt decomposition. Hopf theorem. Dependence on initial data. The flow box theorem. Coordinate changes generated by the flow of a vector field. The Lie exponential. Poincare normal form.

Note del docente.
Chierchia Analisi Matematica 2