This volume contains the notes from five lecture courses devoted to nonautonomous differential
systems in which appropriate topological and dynamical techniques were described and applied
to a variety of problems. The courses took place during the C.I.M.E. Session Stability and
Bifurcation Problems for Non-Autonomous Differential Equations held in Cetraro Italy June
19-25 2011. Anna Capietto and Jean Mawhin lectured on nonlinear boundary value problems they
applied the Maslov index and degree-theoretic methods in this context. Rafael Ortega discussed
the theory of twist maps with nonperiodic phase and presented applications. Peter Kloeden and
Sylvia Novo showed how dynamical methods can be used to study the stability bifurcation
properties of bounded solutions and of attracting sets for nonautonomous differential and
functional-differential equations. The volume will be of interest to all researchers working in
these and related fields.