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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.

Lipschitz-continuity of the solution map of some nonconvex second-order differential inclusions

Cernea A.

Fasciculi Mathematici

2009

Nr 41

45-54

We prove the Lipschitz dependence on the initial condition of the solution set of a nonconvex second-order differential inclusions by applying the contraction principle in the space of selections of the multifunction instead of the space of solutions.

On a boundary value problem for a third differential inclusion

Cernea A

Demonstratio Mathematica

2009

Vol. 42, nr 4

723-730

We consider a boundary value problem for third order nonconvex differential inclusion and we obtain some existence results by using the set-valued contraction principle.

On the solution set of a nonconvex nonclosed Sturm-Liouville type differential inclusion

Cernea A.

Commentationes Mathematicae

2009

Vol. 49, [Z] 2

139-146

We consider a nonconvex and nonclosed Sturm-Liouville type differential inclusion and we prove the arcwise connectedness of the set of its 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.