… apply approximation techniques in order to solve many interesting problems. Namely, we
approximate differential inclusions under consideration by differential (… subdifferential calculus …

… would like to apply the Filippov-type approximations and propose an attempt of an extension
of the relaxation property for a certain class of fractional differential inclusions. Recall that in …

… to the Euler approximation of differential inclusions and error … state variable (this is easy to
see for autonomous inclusions). … in the state variable follow from a Filippov-type theorem for …

… Filippov we establish an existence result for the problem considered under the hypothesis
that the set-valued map is Lipschitz in the state variable… uses a technique due to Filippov ([11]) …

… of the theory of differential inclusions: Filippov's theorem, the … between control theory and
calculus of variations has been … measurable with respect to both variables. We would like to …

… For this, we first give the following formulas for calculating … Our aim is to apply the
corresponding theorem on directional … of the scalar product in its variables we obtain that the …

… variables (and taking the natural connection between these … the Filippov works [33] on
discontinuos differential equations … With the help of quasidifferential calculus rules the solution …

… Furthermore, practical applications of these results are … version of Filippovs theorem for a
Sturm-Liuoville differential inclusion is … order an adjoint linear differential operator with variable …

… (1) dx dt ∈ F ( x , t ) , x ( 0 ) ∈ X o where t is a real variable (… Moreover, the Filippov-Wazewski
theorem states that if F … We will not enter in the methodology of the variational calculus. …

… If one uses one of the well-known definitions of the solution … We use the definition (by Filippov)
above for two reasons: 1) … , by expressing one of the variables through the obtained ones) …