- Tytuł:
- Controllability for impulsive semilinear functional differential inclusions with a non-compact evolution operator
- Autorzy:
-
Benedetti, Irene
Obukhovskii, Valeri
Zecca, Pietro - Powiązania:
- https://bibliotekanauki.pl/articles/729247.pdf
- Data publikacji:
- 2011
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
evolution differential inclusion
impulsive inclusion
control system
controllability
mild solution
condensing multimap
fixed point - Opis:
- We study a controllability problem for a system governed by a semilinear functional differential inclusion in a Banach space in the presence of impulse effects and delay. Assuming a regularity of the multivalued non-linearity in terms of the Hausdorff measure of noncompactness we do not require the compactness of the evolution operator generated by the linear part of inclusion. We find existence results for mild solutions of this problem under various growth conditions on the nonlinear part and on the jump functions. As example, we consider the controllability of an impulsive system governed by a wave equation with delayed feedback.
- Źródło:
-
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2011, 31, 1; 39-69
1509-9407 - Pojawia się w:
- Discussiones Mathematicae, Differential Inclusions, Control and Optimization
- Dostawca treści:
- Biblioteka Nauki
Artykuł