On the Tikhonov-type theorem for a certain class of singularly perturbed differential inclusions

We are going to compare some of recent results of Tikhonov type devoted to singularly perturbed differential inclusions. The object of investigation is the lower- and the upper-semicontinuity of the set of solutions of the differential inclusion as well as the convergence of the set of solutions to differential inclusion to the set of solutions to the degenerate system.