Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 3

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: Hukuhara's derivative

Sortuj według:

Ogranicz wyniki do:

On a multivalued second order differential problem with Hukuhara derivative

Piszczek M.

Opuscula Mathematica

2008

Vol. 28, no. 2

151-161

Let K be a closed convex cone with the nonempty interior in a real Banach space and let cc(K) denote the family of all nonempty convex compact subsets of K. Assume that continuous linear multifunctions H, ψ : K → cc(K) are given. We consider the following problem D2 φ (t, x) = φ (t, H(x)), D φ (t,x) / (t=0) = {0}, φ (0, x) = ψ (x) for t ≥ 0 and x ∈ K, where D φ (t, x) denotes the Hukuhara derivative of φ (t, x) with respect to t.

Hukuhara`s derivative and concave iteration semigroups of linear set-valued functions

Smajdor A.

Journal of Applied Analysis

2002

Vol. 8, nr 2

297-305

Let K be a closed convex cone with the nonempty interior in a real Banach space and cc(K) denote the family of all nonempty convex compact subsets of K. If {Ff : t ≥ 0} is a concave iteration semigroup of continuous linear set-valued functions Ft : K → cc(K) with F°(x) = {x} for x ∈ K, then DtFt(x) = Ft (G(x)) for x ∈ K and t ≥ 0, where DtFt(x) denotes the Hukuhara derivative of Ft(x) with respect to t and (wzór) for x ∈ K.

Integral representations of convex and concave set-valued functions

Piszczek M.

Demonstratio Mathematica

2002

Vol. 35, nr 4

727-742

We will denote by C+ the family of all convex set-valued functions F denned on [a, b} with nonempty compact values, continuous at a, for which there exist all differences F(t) - F(s) as far as a < s < t < b. The main purpose oh this paper is to show that a function F belongs to the family C+ if and only if it is of the form t F(t)=F(a)+^\G(x)dx a for some decreasing set-valued function G.