- Tytuł:
- Fixed points and stability in neutral nonlinear differential equations with variable delays
- Autorzy:
-
Ardjouni, A.
Djoudi, A. - Powiązania:
- https://bibliotekanauki.pl/articles/255378.pdf
- Data publikacji:
- 2012
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
fixed points
stability
nonlinear neutral differential equation
integral equation
variable delays - Opis:
- By means of Krasnoselskii's fixed point theorem we obtain boundedness and stability results of a neutral nonlinear differential equation with variable delays. A stability theorem with a necessary and sufficient condition is given. The results obtained here extend and improve the work of C.H. Jin and J.W. Luo [Nonlinear Anal. 68 (2008), 3307-3315], and also those of T.A. Burton [Fixed Point Theory 4 (2003), 15-32; Dynam. Systems Appl. 11 (2002), 499-519] and B. Zhang [Nonlinear Anal. 63 (2005), e233-e242]. In the end we provide an example to illustrate our claim.
- Źródło:
-
Opuscula Mathematica; 2012, 32, 1; 5-19
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł