• Title/Summary/Keyword: Gronwall-Bellman inequality

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EXISTENCE AND EXPONENTIAL STABILITY OF ALMOST PERIODIC SOLUTION FOR SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH DISTRIBUTED DELAYS AND LARGE IMPULSES

  • Zuo, Yi;Wang, Yaonan;Huang, Lihong;Li, Chunsheng
    • Journal of the Korean Mathematical Society
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    • v.46 no.5
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    • pp.1071-1085
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    • 2009
  • This paper considers the problem of existence and exponential stability of almost periodic solution for shunting inhibitory cellular neural networks with distributed delays and large impulses. Based on the contraction principle and Gronwall-Bellman's inequality, some sufficient conditions are obtained. The results of this paper are new and they complement previously known results.