- Tytuł:
- Differential inclusions and multivalued integrals
- Autorzy:
-
Cichoń, Kinga
Cichoń, Mieczysław
Satco, Bianca - Powiązania:
- https://bibliotekanauki.pl/articles/729320.pdf
- Data publikacji:
- 2013
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
nonlocal Cauchy problem
Aumann integrals
Pettis integrals
Henstock-Kurzweil-Pettis integrals
measure of weak noncompactness - Opis:
-
In this paper we consider the nonlocal (nonstandard) Cauchy problem for differential inclusions in Banach spaces
x'(t) ∈ F(t,x(t)), x(0)=g(x), t ∈ [0,T] = I.
Investigation over some multivalued integrals allow us to prove the existence of solutions for considered problem. We concentrate on the problems for which the assumptions are expressed in terms of the weak topology in a Banach space. We recall and improve earlier papers of this type. The paper is complemented by a short survey about multivalued integration including Pettis and Henstock-Kurzweil-Pettis multivalued integrals. - Źródło:
-
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2013, 33, 2; 171-191
1509-9407 - Pojawia się w:
- Discussiones Mathematicae, Differential Inclusions, Control and Optimization
- Dostawca treści:
- Biblioteka Nauki
Artykuł