Orador Convidado: Clara Carlota, Departamento de Matemática, CIMA, Universidade de Évora

Resumo:

Given any AC solution $overline{x}:[a,b] ightarrow mathbb{R}^{n}$ to the convex differential inclusion
x'  (t) in co { v^1(t), ... , v^m(t) }  a.e. on  [ a , b ] ,
we present necessary  and  sufficient  conditions for existence of solution to the associated nonconvex inclusion
x'(t) in v^1(t), ... , v^m(t) }  a.e. x(a) =overline{x}(a)  x(b) = overline{x}(b),
under the extra pointwise constraint
 langle x(t) , omega angle leq langle overline{x}(t) ,omega angle for all t in [ a , b ]
where omega is any vector in R^n.

Resumo (pdf):
Em anexo.