Geodesic
Existence and stability of almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays
Electronic journal of differential equations, Tome 2006 (2006)
In this paper, we consider shunting inhibitory cellular neural networks (SICNNs) with continuously distributed delays. Sufficient conditions for the existence and local exponential stability of almost periodic solutions are established using a fixed point theorem, Lyapunov functional method, and differential inequality techniques. We illustrate our results with an example for which our conditions are satisfied, but not the conditions in [4,6,8].
Classification : 34C25, 34K25
Keywords: shunting inhibitory cellular neural networks, almost periodic solution, exponential stability, continuously distributed delays 
@article{EJDE_2006__2006__a173,
     author = {Zhou,  Qiyuan and Xiao,  Bing and Yu,  Yuehua},
     title = {Existence and stability of almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays},
     journal = {Electronic journal of differential equations},
     year = {2006},
     volume = {2006},
     zbl = {1109.34056},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a173/}
}
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AU  - Xiao,  Bing
AU  - Yu,  Yuehua
TI  - Existence and stability of almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays
JO  - Electronic journal of differential equations
PY  - 2006
VL  - 2006
UR  - http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a173/
LA  - en
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%0 Journal Article
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%A Xiao,  Bing
%A Yu,  Yuehua
%T Existence and stability of almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays
%J Electronic journal of differential equations
%D 2006
%V 2006
%U http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a173/
%G en
%F EJDE_2006__2006__a173
Zhou,  Qiyuan; Xiao,  Bing; Yu,  Yuehua. Existence and stability of almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays. Electronic journal of differential equations, Tome 2006 (2006). http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a173/