Presentation of the first part of the course. Theorems on existence and uniqueness of solution of Cauchy problems.

20 Setembro 2017, 14:30 • Maria Carlota da Rocha Xavier Rebelo Gonçalves

Organization of the course and evaluation.

Ordinary differential equations, solutions. Cauchy-Peano theorem of local existence of solutions, global theorem of existence for bounded vector fields. Proofs of the theorems. Ascoli-Arzelà theorem.