Maria Grazia Mondini: Dynamical systems and ordinary differential equations.
Diplom thesis, Ferrara 1988.
Original title: Sistemi dinamici ed equazioni differenziali ordinarie.
DYNAMICAL SYSTEMS

Semicontinuous functions
Dynamical systems

LINEAR DIFFERENTIAL EQUATIONS

The exponential mapping in GL(V)
The solution space of the homogeneous equation
Liouville's theorem
The non homogeneous linear system
Linear differential equations with constant coefficients
Stability theorems for linear equations with constant coefficients
Classification of linear systems with constant coefficients in the plane
Linear hyperbolic flows
Existence and unicity of solutions of ordinary differential equations
Continuity and differentiability of solutions
Floquet theory for linear equations with constant coefficients

BROUWER DEGREE

The Brouwer degree
The antipodal theorem of Borsuk-Ulam
Projections on a convex set
Dugundji's extension theorem
The fixed point theorems of Brouwer and Schauder

MILNOR ATTRACTORS

Baire's theorem
Milnor's concept of attractor

REFERENCES