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New results on the existence and uniqueness of almost periodic solution for BAM neural networks with continuously distributed delays

Author

Listed:
  • Xia, Yonghui
  • Cao, Jinde
  • Lin, Muren

Abstract

In this paper, a class of BAM neural networks with continuously distributed delays are studied. Some new sufficient conditions are established for the existence and uniqueness of the almost periodic solution, which generalize and improve the previously known results. Moreover, the method used in the proof is original. An example is presented to illustrate the feasibility and effectiveness of the new results.

Suggested Citation

  • Xia, Yonghui & Cao, Jinde & Lin, Muren, 2007. "New results on the existence and uniqueness of almost periodic solution for BAM neural networks with continuously distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 928-936.
    • Handle: RePEc:eee:chsofr:v:31:y:2007:i:4:p:928-936
    DOI: 10.1016/j.chaos.2005.10.043
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    Citations

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    Cited by:

    1. Tetie Pan & Bao Shi & Jian Yuan, 2012. "Global Stability of Almost Periodic Solution of a Class of Neutral‐Type BAM Neural Networks," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Yongkun Li & Lijie Sun & Li Yang, 2014. "Existence and Exponential Stability of Equilibrium Point for Fuzzy BAM Neural Networks with Infinitely Distributed Delays and Impulses on Time Scales," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    3. Yongkun Li & Li Yang, 2013. "Almost Periodic Solutions for Neutral‐Type BAM Neural Networks with Delays on Time Scales," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    4. Zhang, Huiying & Xia, Yonghui, 2008. "Existence and exponential stability of almost periodic solution for Hopfield-type neural networks with impulse," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1076-1082.
    5. Yaqin Li, 2014. "Dynamics of Almost Periodic BAM Neural Networks with Neutral Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    6. Zhou, Jun & Zhao, Weirui & Lv, Xiaohong & Zhu, Huaping, 2011. "Stability analysis of almost periodic solutions for delayed neural networks without global Lipschitz activation functions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(11), pages 2440-2455.
    7. Zhang, Qianhong & Luo, Wei, 2009. "Global exponential stability of fuzzy BAM neural networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2239-2245.
    8. Zhao, Weirui, 2009. "On existence and global exponential stability of periodic solution of two-neuron networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1100-1105.
    9. Xia, Yonghui & Huang, Zhenkun & Han, Maoan, 2008. "Existence and globally exponential stability of equilibrium for BAM neural networks with impulses," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 588-597.
    10. Zhao, Weirui & Zhang, Huanshui, 2009. "New results of almost periodic solutions for cellular neural networks with mixed delays," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 831-838.
    11. Wang, Jiafu & Huang, Lihong, 2012. "Almost periodicity for a class of delayed Cohen–Grossberg neural networks with discontinuous activations," Chaos, Solitons & Fractals, Elsevier, vol. 45(9), pages 1157-1170.

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