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Existence of Periodic Solutions for Shunting Inhibitory Cellular Neural Networks with Neutral Delays

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  • Ninghua Chen

Abstract

This paper considers the existence of periodic solutions for shunting inhibitory cellular neural networks (SICNNs) with neutral delays. By applying the theory of abstract continuation theorem of -set contractive operator and some analysis technique, a new result on the existence of periodic solutions is obtained.

Suggested Citation

  • Ninghua Chen, 2013. "Existence of Periodic Solutions for Shunting Inhibitory Cellular Neural Networks with Neutral Delays," Discrete Dynamics in Nature and Society, Hindawi, vol. 2013, pages 1-8, October.
    • Handle: RePEc:hin:jnddns:143706
    DOI: 10.1155/2013/143706
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    References listed on IDEAS

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    1. Xia, Yonghui & Cao, Jinde & Huang, Zhenkun, 2007. "Existence and exponential stability of almost periodic solution for shunting inhibitory cellular neural networks with impulses," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1599-1607.
    2. Liu, Bingwen & Huang, Lihong, 2007. "Existence and stability of almost periodic solutions for shunting inhibitory cellular neural networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 211-217.
    3. Liu, Bingwen & Huang, Lihong, 2007. "Existence and exponential stability of almost periodic solutions for cellular neural networks with mixed delays," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 95-103.
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