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On an evolution inclusion in non-separable Banach spaces

Cernea A.

Opuscula Mathematica

2009

Vol. 29, no. 2

131-138

We consider a Cauchy problem for a class of nonconvex evolution inclusions in non-separable Banach spaces under Filippov-type assumptions.We prove the existence of solutions.

Integrodifferential iclusions in non separable Banach spaces

Cernea A.

Demonstratio Mathematica

2003

Vol. 36, nr 3

591--602

We consider a Cauchy problem for a nonlinear integrodifferential inclusion in non separable Banach spaces under Filippov type assumptions and we prove the existence of solutions. This result allows to obtain a relaxation theorem for the problem considered.