- Tytuł:
- Existence and solution sets of impulsive functional differential inclusions with multiple delay
- Autorzy:
-
Helal, M.
Ouahab, A. - Tematy:
-
impulsive functional differential inclusions
decomposable set
parameter differential inclusions
AR-set
control theory - Pokaż więcej
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Powiązania:
- https://bibliotekanauki.pl/articles/256052.pdf Link otwiera się w nowym oknie
- Opis:
- In this paper, we present some existence results of solutions and study the topological structure of solution sets for the following first-order impulsive neutral functional differential inclusions with initial condition: [formula] where J : = [0; b] and 0 = t0 < t1 < ... < tm < tm+1 = b (m ∈ N*), F is a set-valued map and g is single map. The functions Ik characterize the jump of the solutions at impulse points tk (k = 1, ... m). Our existence result relies on a nonlinear alternative for compact u.s.c. maps. Then, we present some existence results and investigate the compactness of solution sets, some regularity of operator solutions and absolute retract (in short AR). The continuous dependence of solutions on parameters in the convex case is also examined. Applications to a problem from control theory are provided.
- Dostawca treści:
- Biblioteka Nauki
Artykuł