数学季刊 ›› 2022, Vol. 37 ›› Issue (2): 189-202.doi: 10.13371/j.cnki.chin.q.j.m.2022.02.008

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时间尺度上具有泄漏时滞的一般BAM神经网络概周期解的存在性和指数稳定性

  

  1. School of Mathematics and Statistics, Zhaotong University,
  • 收稿日期:2022-01-30 出版日期:2022-06-30 发布日期:2022-06-21
  • 通讯作者: DONG Yan-shou (1985-), male, native of Zhaotong, Yunnan, lecturer of Zhaotong University, engages in differential equations and its applications; E-mail: 03037@ztu.edu.cn.
  • 作者简介: DONG Yan-shou (1985-), male, native of Zhaotong, Yunnan, lecturer of Zhaotong University, engages in differential equations and its applications; HAN Yan (1986-), female, native of Huanggang, Hubei, associate professor of Zhaotong University, engages in nonlinear functional analysis; DAI Ting-ting (1986-), female, native of Qingyang, Gansu, lecturer of Zhaotong University, engages in neural networks.
  • 基金资助:
     Partially supported by the Special Basic Cooperative Research Programs of Yunnan
    Provincial Undergraduate Universities’ Association (Grant No. 202101BA070001-045).

Existence and Exponential Stability of Almost Periodic Solutions to General BAM Neural Networks with Leakage Delays on Time Scales

  1. School of Mathematics and Statistics, Zhaotong University,
  • Received:2022-01-30 Online:2022-06-30 Published:2022-06-21
  • Contact: DONG Yan-shou (1985-), male, native of Zhaotong, Yunnan, lecturer of Zhaotong University, engages in differential equations and its applications; E-mail: 03037@ztu.edu.cn.
  • About author: DONG Yan-shou (1985-), male, native of Zhaotong, Yunnan, lecturer of Zhaotong University, engages in differential equations and its applications; HAN Yan (1986-), female, native of Huanggang, Hubei, associate professor of Zhaotong University, engages in nonlinear functional analysis; DAI Ting-ting (1986-), female, native of Qingyang, Gansu, lecturer of Zhaotong University, engages in neural networks.
  • Supported by:
     Partially supported by the Special Basic Cooperative Research Programs of Yunnan
    Provincial Undergraduate Universities’ Association (Grant No. 202101BA070001-045).

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摘要：  In this paper, the existence of almost periodic solutions to general BAM neural
networks with leakage delays on time scales is first studied, by using the exponential
dichotomy method of linear differential equations and fixed point theorem. Then, the
exponential stability of almost periodic solutions to such BAM neural networks on time
scales is discussed by utilizing differential inequality. Finally, an example is given to
support our results in this paper and the results are up-to-date.

关键词:  , Almost periodic solution, Neural network, Time scale, Leakage delay,
Existence and exponential stability

Abstract:  In this paper, the existence of almost periodic solutions to general BAM neural
networks with leakage delays on time scales is first studied, by using the exponential
dichotomy method of linear differential equations and fixed point theorem. Then, the
exponential stability of almost periodic solutions to such BAM neural networks on time
scales is discussed by utilizing differential inequality. Finally, an example is given to
support our results in this paper and the results are up-to-date.

Key words:  , Almost periodic solution, Neural network, Time scale, Leakage delay,
Existence and exponential stability

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