New constructive criteria of asymptotic stability of selector-linear differential inclusions are established. The wellknown absolute stability problem is also considered as a particular case of the above problem. Asymptotically stable inclusions are very similar in properties to linear stable time-invariant systems. This similarity concerns the wide range of dynamic properties. In particular, a...

0

In this paper, a new approach for solving the second order fuzzy differential equations (FDE) with fuzzy initial value, under strongly generalized H-differentiability is presented. Solving first order fuzzy differential equations by extending 1-cut solution of the original problem and solving fuzzy integro-differential equations has been investigated by some authors (see for example cite{darabi...

The paper is concerned with the existence of solution of nonlinear second order neutral stochastic differential inclusions with infinite delay in a Hilbert Space. Sufficient conditions for the existence are obtained by using a fixed point theorem for condensing maps. Keywords—Mild solution, Convex multivalued map, Neutral stochastic differential inclusions.

A discrete stability theorem for set-valued Euler’s method with state constraints is proven. This theorem is combined with known stability results for differential inclusions with so-called smooth state constraints. As a consequence, order of convergence equal to 1 is proven for set-valued Euler’s method, applied to state-constrained differential inclusions.

The aim of this paper is to provide a unified treatment of the existence of solution of both upper and lower semicontinuous quantum stochastic differential inclusions. The quantum stochastic differential inclusion is driven by operatorvalued stochastic processes lying in certain metrizable locally convex space. The unification of solution sets to these two discontinuous non-commutative stochast...

We discuss the existence of solutions, u ∈ φ+W 1,∞ 0 (Ω;R), for differential inclusions of the form Du(x) ∈ E, a.e. in Ω . 1 – Introduction In this article we discuss the existence of solutions, u ∈ W 1,∞(Ω;Rm), for the Dirichlet problem involving differential inclusions of the form

In the paper we study the continuity properties of the solution set of upper semicontinuous differential inclusions in both regularly and singularly perturbed case. Using a kind of dissipative type of conditions introduced in [1] we obtain lower semicontinuous dependence of the solution sets. Moreover new existence result for lower semicontinuous differential inclusions is proved.