- Tytuł:
- Multivalued linear operators and differential inclusions in Banach spaces
- Autorzy:
-
Baskakov, Anatolii
Obukhovskii, Valeri
Zecca, Pietro - Powiązania:
- https://bibliotekanauki.pl/articles/729521.pdf
- Data publikacji:
- 2003
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
multivalued linear operator
generalized semigroup
minimal growth at infinity
Hille-Yosida condition
degenerate differential inclusion
Cauchy problem
bounded solution - Opis:
- In this paper, we study multivalued linear operators (MLO's) and their resolvents in non reflexive Banach spaces, introducing a new condition of a minimal growth at infinity, more general than the Hille-Yosida condition. Then we describe the generalized semigroups induced by MLO's. We present a criterion for an MLO to be a generator of a generalized semigroup in an arbitrary Banach space. Finally, we obtain some existence results for differential inclusions with MLO's and various types of multivalued nonlinearities. As a consequence, we give theorems on the existence of local, global and bounded solutions of the Cauchy problem for degenerate differential inclusions.
- Źródło:
-
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2003, 23, 1; 53-74
1509-9407 - Pojawia się w:
- Discussiones Mathematicae, Differential Inclusions, Control and Optimization
- Dostawca treści:
- Biblioteka Nauki
Artykuł