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Second-order necessary conditions for discrete inclusions with end point constraints

100%

Cernea A.

tom 25

nr 1

47-58

We study an optimization problem given by a discrete inclusion with end point constraints. An approach concerning second-order optimality conditions is proposed.

On the existence of viable solutions for a class of second order differential inclusions

100%

Cernea A.

nr 1

67-78

We prove the existence of viable solutions to the Cauchy problem x'' ∈ F(x,x'), x(0) = x₀, x'(0) = y₀, where F is a set-valued map defined on a locally compact set $M ⊂ R^{2n}$, contained in the Fréchet subdifferential of a ϕ-convex function of order two.

On a partial Hadamard fractional integral inclusion

100%

Cernea A.

tom 36

nr 2

141-153

We study a class of nonconvex Hadamard fractional integral inclusions and we establish some Filippov type existence results.

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

100%

Cernea A.

tom 49

nr 2

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