- Tytuł:
- On a multivalued second order differential problem with Hukuhara derivative
- Autorzy:
- Piszczek, M.
- Powiązania:
- https://bibliotekanauki.pl/articles/255779.pdf
- Data publikacji:
- 2008
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
Hukuhara's derivative
multivalued cosine families
Riemann integral for multifunctions
Cauchy problem for a set-valued differential equation - Opis:
- 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.
- Źródło:
-
Opuscula Mathematica; 2008, 28, 2; 151-161
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł