Continuability of solutions of Cauchy problems

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

Definition of extendable solution and of maximal solution. 

Existence of maximal solution when uniqueness of solution of Cauchy problems is guaranteed.

Asymptotic behavior of solutions which are defined in a finite interval.

Global existence of solutions in the sub-linear case.

Global existence and uniqueness of Cauchy problems associated with linear systems.