- Tytuł:
- An abstract Cauchy problem for higher order functional differential inclusions with infinite delay
- Autorzy:
-
Ke, Tran
Obukhovskii, Valeri
Wong, Ngai-Ching
Yao, Jen-Chih - Powiązania:
- https://bibliotekanauki.pl/articles/729357.pdf
- Data publikacji:
- 2011
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
Cauchy problem
functional differential inclusion
infinite delay
higher order
existence family
phase space
fixed point
multivalued map
measure of noncompactness
condensing map - Opis:
- The existence results for an abstract Cauchy problem involving a higher order differential inclusion with infinite delay in a Banach space are obtained. We use the concept of the existence family to express the mild solutions and impose the suitable conditions on the nonlinearity via the measure of noncompactness in order to apply the theory of condensing multimaps for the demonstration of our results. An application to some classes of partial differential equations is given.
- Źródło:
-
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2011, 31, 2; 199-229
1509-9407 - Pojawia się w:
- Discussiones Mathematicae, Differential Inclusions, Control and Optimization
- Dostawca treści:
- Biblioteka Nauki
Artykuł