Geodesic
Periodic solutions and exponential stability for shunting inhibitory cellular neural networks with continuously distributed delays
Electronic journal of differential equations, Tome 2008 (2008)
In this paper, we consider a class of shunting inhibitory cellular neural networks with continuously distributed delays (SICNNs). The delays are unbounded and the activation function is not assumed to be bounded. Using the continuation theorems of coincidence degree theory, Lyapunov functional method, we obtain new sufficient conditions for the existence and local exponential stability of periodic solutions of (SICNNs). Numerical examples illustrated our results are given.
Classification : 34C25, 34K13
Keywords: periodic solutions, exponential stability, unbounded delays, shunting inhibitory, cellular neural networks 
@article{EJDE_2008__2008__a43,
     author = {Hien,  Le Van and Loan,  Tran Thi and Tuan,  Duong Anh},
     title = {Periodic solutions and exponential stability for shunting inhibitory cellular neural networks with continuously distributed delays},
     journal = {Electronic journal of differential equations},
     year = {2008},
     volume = {2008},
     zbl = {1138.34032},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a43/}
}
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AU  - Tuan,  Duong Anh
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%A Loan,  Tran Thi
%A Tuan,  Duong Anh
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%J Electronic journal of differential equations
%D 2008
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%F EJDE_2008__2008__a43
Hien,  Le Van; Loan,  Tran Thi; Tuan,  Duong Anh. Periodic solutions and exponential stability for shunting inhibitory cellular neural networks with continuously distributed delays. Electronic journal of differential equations, Tome 2008 (2008). http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a43/