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Piecewise Pseudo Almost Periodic Solution for Impulsive Generalised High-Order Hopfield Neural Networks with Leakage Delays

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Abstract

Existence of piecewise differentiable pseudo almost-periodic solutions for a class of impulsive high-order Hopfield neural networks with leakage delays are established by employing the fixed point theorem, differential inequality and Lyapunov functionals. The results of this paper are new and they supplement previously known works. Numerical example with graphical illustration is given to illuminate our main results.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences of Bizerta, University of Carthage, BP W, 7021 Zarzouna, Bizerta, Tunisia

    Chaouki Aouiti & Mohammed Salah M’hamdi

  2. Department of Mathematics, Southeast University, Nanjing, 210096, China

    Jinde Cao

  3. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Jinde Cao

  4. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Ahmed Alsaedi

Authors
  1. Chaouki Aouiti
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  2. Mohammed Salah M’hamdi
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  3. Jinde Cao
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  4. Ahmed Alsaedi
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Corresponding author

Correspondence to Jinde Cao.

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Aouiti, C., M’hamdi, M.S., Cao, J. et al. Piecewise Pseudo Almost Periodic Solution for Impulsive Generalised High-Order Hopfield Neural Networks with Leakage Delays. Neural Process Lett 45, 615–648 (2017). https://doi.org/10.1007/s11063-016-9546-6

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  • DOI: https://doi.org/10.1007/s11063-016-9546-6

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