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).

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

Summary: 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__a73,
     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},
     publisher = {mathdoc},
     volume = {2006},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a73/}
}
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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__a73/