On the Solution Set of a Nonconvex Nonclosed Second Order Inclusion
We consider a nonconvex and nonclosed second-order evolution inclusion and we prove the arcwise connectedness of the set of its mild solutions.
On monotone solutions for a nonconvex second-order functional differential inclusion.
On the solution set of a two point boundary value problem.
Minimum principle and controllability for multiparameter discrete inclusions via derived cones.
On the existence of solutions for a higher order differential inclusion without convexity.
A Filippov type existence theorem for a class of second-order differential inclusions.
On a second-order differential inclusion with constraints.
Continuous version of Filippov's theorem for a Sturm-Liouville type differential inclusion.
On the existence of viable solutions for a class of second order differential inclusions
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 , contained in the Fréchet subdifferential of a ϕ-convex function of order two.
Second-order necessary conditions for discrete inclusions with end point constraints
We study an optimization problem given by a discrete inclusion with end point constraints. An approach concerning second-order optimality conditions is proposed.
On a partial Hadamard fractional integral inclusion
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
We consider a nonconvex and nonclosed Sturm-Liouville type differential inclusion and we prove the arcwise connectedness of the set of its solutions.
On the set of solutions of some nonconvex nonclosed hyperbolic differential inclusions
We consider a class of nonconvex and nonclosed hyperbolic differential inclusions and we prove the arcwise connectedness of the solution set.
Variational inclusions for a Sturm-Liouville type differential inclusion
We establish several variational inclusions for solutions of a nonconvex Sturm-Liouville type differential inclusion on a separable Banach space.
Derived cones to reachable sets of a nonlinear differential inclusion
We consider a nonlinear differential inclusion defined by a set-valued map with nonconvex values and we prove that the reachable set of a certain variational inclusion is a derived cone in the sense of Hestenes to the reachable set of the initial differential inclusion. In order to obtain the continuity property in the definition of a derived cone we use a continuous version of Filippov's theorem for solutions of our differential inclusion. As an application, in finite dimensional spaces, we obtain...
A note on the solutions of a second-order evolution inclusion in non separable Banach spaces
We consider a Cauchy problem associated to a second-order evolution inclusion in non separable Banach spaces under Filippov type assumptions and we prove the existence of mild solutions.
On a certain converse statement of the Filippov-Ważewski relaxation theorem
A certain converse statement of the Filippov-Wažewski theorem is proved. This result extends to the case of time dependent differential inclusions a previous result of Jo’o and Tallos in [5] obtained for autonomous differential inclusions.
Existence for nonconvex integral inclusions via fixed points
We consider a nonconvex integral inclusion and we prove a Filippov type existence theorem by using an appropiate norm on the space of selections of the multifunction and a contraction principle for set-valued maps.
On a nonconvex boundary value problem for a first order multivalued differential system
We consider a boundary value problem for first order nonconvex differential inclusion and we obtain some existence results by using the set-valued contraction principle.
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