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).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {2009},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a132/}
}
TY  - JOUR
AU  - Wu, Yuanheng
AU  - Zhou, Zhan
TI  - Existence and exponential stability for anti-periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays
JO  - Electronic Journal of Differential Equations
PY  - 2009
VL  - 2009
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a132/
LA  - en
ID  - EJDE_2009__2009__a132
ER  - 
%0 Journal Article
%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
%I mathdoc
%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/