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Almost Periodic Functions on Time Scales and Applications

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  • Yongkun Li
  • Chao Wang

Abstract

We first propose the concept of almost periodic time scales and then give the definition of almost periodic functions on almost periodic time scales, then by using the theory of calculus on time scales and some mathematical methods, some basic results about almost periodic differential equations on almost periodic time scales are established. Based on these results, a class of high-order Hopfield neural networks with variable delays are studied on almost periodic time scales, and some sufficient conditions are established for the existence and global asymptotic stability of the almost periodic solution. Finally, two examples and numerical simulations are presented to illustrate the feasibility and effectiveness of the results.

Suggested Citation

  • Yongkun Li & Chao Wang, 2011. "Almost Periodic Functions on Time Scales and Applications," Discrete Dynamics in Nature and Society, Hindawi, vol. 2011, pages 1-20, July.
    • Handle: RePEc:hin:jnddns:727068
    DOI: 10.1155/2011/727068
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    Cited by:

    1. Zhijian Yao & Jehad Alzabut & Debaldev Jana, 2018. "Dynamics of the Almost Periodic Discrete Mackey–Glass Model," Mathematics, MDPI, vol. 6(12), pages 1-14, December.
    2. Shen, Shiping & Meng, Xiaofang, 2023. "Finite-time stability of almost periodic solutions of Clifford-valued RNNs with time-varying delays and D operator on time scales," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).

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