Geodesic
Existence and exponential stability for anti-periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays
Electronic journal of differential equations, Tome 2009 (2009)
This article concerns anti-periodic solutions for shunting inhibitory cellular neural networks (SICNNs), with continuously distributed delays, arising from the description of the neurons state in delayed neural networks. Without assuming global Lipschitz conditions of activation functions, we obtain existence and local exponential stability of anti-periodic solutions.
Classification : 34C25, 34K13, 34K25
Keywords: shunting inhibitory cellular neural networks, anti-periodic solution, exponential stability, continuously distributed delays 
@article{EJDE_2009__2009__a132,
     author = {Wu,  Yuanheng and Zhou,  Zhan},
     title = {Existence and exponential stability for anti-periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays},
     journal = {Electronic journal of differential equations},
     year = {2009},
     volume = {2009},
     zbl = {1189.34140},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a132/}
}
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JO  - Electronic journal of differential equations
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%A Wu,  Yuanheng
%A Zhou,  Zhan
%T Existence and exponential stability for anti-periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays
%J Electronic journal of differential equations
%D 2009
%V 2009
%U http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a132/
%G en
%F EJDE_2009__2009__a132
Wu,  Yuanheng; Zhou,  Zhan. Existence and exponential stability for anti-periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays. Electronic journal of differential equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a132/