Existence of Solutions for Nonconvex Differential Inclusions of Monotone Type

Differential inclusions with compact, upper semi-continuous, not necessarily convex right-hand sides in R^n are studied. Under a weakened monotonicity-type condition the existence of solutions is proved.Comment: 5 pages, 14 reference

Functional differential inclusions involving dissipative and compact multifunctions

We examine the main qualitative properties of the solution set of differential inclusion with the lag. The right-hand side is supposed to be one side Lipschitz and with almost continuous concex hull. Afterwards we prove the existence of solutions when the right-hand side is a sum of one side Lipschitz and almost (upper) semicontinuous multifunction, which satisfy compactness condition

Regular and singular perturbations of upper semicontinuous differential inclusion

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

Fuzzy Functional Differential Equations under Dissipative-Type Conditions

Fuzzy functional differential equations with continuous right-hand sides are studied. The existence and uniqueness of a solution are proved under dissipative-type conditions. The continuous dependence of the solution on the initial conditions is shown. The existence of the solution on an infinite interval and its stability are also analyzed.Вивчаються нєчіткі функціонально-диференціальні рівняння з неперервною правою частиною. Доведено існування та єдиність розв'язку за умов дисипативного типу. Встановлено неперервну залежність розв'язку від початкових умов. Також розглянуто питання про існування розв'язку на нескінченному інтервалі та його стійкість