In this article we define the concept of weighted pseudo almost automorphic sequence, and establish some basic properties of these sequences. Further, as an application, we show the existence, uniqueness and global attractivity of weighted pseudo almost automorphic sequence solutions of a neural network model.
Submitted April 18, 2010. Published August 24, 2010.
Math Subject Classifications: 32N05, 65Q10, 92B20.
Key Words: Almost automorphic sequence; difference equations; neural networks.
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| Syed Abbas |
School of Basic Sciences (Section of Mathematics)
Indian Institute of Technology Mandi, Mandi, H.P., India
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