Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 4 (2009), 53 -- 63

ALMOST-PERIODIC SOLUTION FOR BAM NEURAL NETWORKS

Hamid A. Jalab and Rabha W. Ibrahim

Abstract. In this paper, we study the existence and uniqueness solution and investigate the conditions that make it almost-periodic solution for BAM neural networks with retarded delays. The existence of solution established by using Schauder fixed point theorem. The uniqueness established by using Banach fixed point theorem. Moreover we study the parametric stability of such a solution. Also we illustrate our results with an example.

2000 Mathematics Subject Classification: 34K13; 34K14; 92B20.
Keywords: almost-periodicity; BAM neural networks; parametric stability.

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Hamid A. Jalab Rabha W. Ibrahim
Department of Computer Science School of Mathematical Sciences
Faculty of Science Faculty of science and Technology
Sana'a University, P.O.Box 14526 Maeen UKM Bangi 43600 Selangor Darul Ehsan
Sana'a,Yemen. Malaysia.
e-mail: hamidjalab@hotmail.com e-mail: rabhaibrahim@yahoo.com

http://www.utgjiu.ro/math/sma