- Tytuł:
- Existence and controllability results for damped second order impulsive functional differential systems with state-dependent delay
- Autorzy:
-
Arjunan, M. M.
Nadaf, N. Y. - Powiązania:
- https://bibliotekanauki.pl/articles/255760.pdf
- Data publikacji:
- 2014
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
damped second order differential equations
impulsive differential equations
controllability
state-dependent delay
cosine function
mild solution
fixed point - Opis:
- In this paper, we investigate the existence and controllability of mild solutions for a damped second order impulsive functional differential equation with state-dependent delay in Banach spaces. The results are obtained by using Sadovskii’s fixed point theorem combined with the theories of a strongly continuous cosine family of bounded linear operators. Finally, an example is provided to illustrate the main results.
- Źródło:
-
Opuscula Mathematica; 2014, 34, 3; 503-522
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł