Existence and exponential stability of almost periodic solution for shunting inhibitory cellular neural networks with impulses

@article{Xia2007ExistenceAE,
  title={Existence and exponential stability of almost periodic solution for shunting inhibitory cellular neural networks with impulses},
  author={Yonghui Xia and J. Cao and Z. Huang},
  journal={Chaos Solitons & Fractals},
  year={2007},
  volume={34},
  pages={1599-1607}
}
  • Yonghui Xia, J. Cao, Z. Huang
  • Published 2007
  • Mathematics
  • Chaos Solitons & Fractals
  • In this paper, by using the contraction principle and Gronwall–Bellman’s inequality, some sufficient conditions are obtained for checking the existence and exponential stability of almost periodic solution for shunting inhibitory cellular neural networks (SICNNs) with impulse. Our results are essentially new. It is the first time that the existence of almost periodic solutions for the impulsive neural networks are obtained. 
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