Existence of Anti-Periodic Solution for Delayed Cellular Neural Networks with Impulsive Effects

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As an important tool to study practical problems of biology, engineering and image processing, the cellular neural networks (CNNs) has caused more and more attention. Some interesting results about the existence of solution for cellular neural networks have been obtained. In this paper, by means of iterative analysis, the existence and uniqueness of anti-periodic solution of delayed cellular neural networks with impulsive effects are considered. Some new results are obtained.

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1499-1503

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December 2013

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] L.O. Chua and L. Yang: IEEE Trans. Circuits and Syst. Vol. 35(1988), p.1257.

Google Scholar

[2] Y.Q. Yang and J.D. Cao: Nonl. Anal. : Real Word Appl. Vol. 8(2007), p.362.

Google Scholar

[3] P.L. Venetianer and T. Roska: IEEE Trans. Circuits Syst. Vol. 45(1998), p.205.

Google Scholar

[4] L.J. Pan and J.D. Cao: Nonl. Anal. : Real Word Appl. Vol. 12(2011), p.3014.

Google Scholar

[5] H. Akca, R. Alassar, V. Covachev, Z. Covachev and E.A. Zahrani: J. Math. Anal. Appl. Vol. 290(2004), p.436.

Google Scholar

[6] Z. Guan, G. Chen: Neural Networks Vol. 12(1999), p.273.

Google Scholar

[7] K. Gopalsamy: Appl. Math. Comput. Vol. 154(2004), p.783.

Google Scholar

[8] V. Lakshmikantham, D.D. Bainov and P.S. Simeonov: Theory of Impulsive Differential Equations(World Scientific, Singapore 1989).

DOI: 10.1142/0906

Google Scholar

[9] D.D. Bainov and P.S. Simeonov: Impulsive Differential Equations: Periodic Solutions and Applications( Longman, Harlow 1993).

Google Scholar

[10] J.J. Nieto: J. Math. Anal. Appl. Vol. 205(1997), p.423.

Google Scholar

[11] Y.K. Li and L.H. Lu: Appl. Phys. Lett. A Vol. 333(2004), p.62.

Google Scholar

[12] L.L. Zhang, A.P. Liu, T. Chang and L.H. He: Annals of Diff. Equ. Vol. 23(2007), p.581.

Google Scholar

[13] L.L. Zhang, A.P. Liu, H.J. Li and Q. Tang: Fourth International Conference on Natural Computation, edited by M.Z. Guo, L. Zhao and L.B. Wang, volume 3 of Neural Network Architectures, IEEE Computer Society(2008).

Google Scholar

[14] L.L. Zhang, A.P. Liu, M. Zou and Q.X. Ma: Proceedings 2009 IEEE International Conference on Intelligent Computing and Intelligent Systems, edited by W. Chen, S.Z. Li, and Y.L. Wang, volume 1, IEEE Computer Society(2009).

Google Scholar