On a Boundary Value Problem of Hybrid Functional Differential Inclusion with Nonlocal Integral Condition

In this work, we present a boundary value problem of hybrid functional differential inclusion with nonlocal condition. The boundary conditions of integral and infinite points will be deduced. The existence of solutions and its maximal and minimal will be proved. A sufficient condition for uniqueness of the solution is given. The continuous dependence of the unique solution will be studied.

Viability result for semilinear functional differential inclusions in Banach spaces

We show the existence result of a mild solution for a semilinear functional differential inclusion, with viability, governed by a family of linear operators. We consider the case when the constraint is moving.

SOME PROPERTIES OF THE GENERALIZED SOLUTIONS OF AN INITIAL VALUE PROBLEM FOR FUNCTIONAL-DIFFERENTIAL INCLUSION WITH MULTIPLE-VALUED IMPULSES

Deviation estimates in space of piecewise continuous functions of a set of the generalized decisions from beforehand given function are received. The continuous dependence of the generalized decisions on starting conditions is established.