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Exponential Decay for a System of Equations with Distributed Delays

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  • Nasser-Eddine Tatar

Abstract

We prove convergence of solutions to zero in an exponential manner for a system of ordinary differential equations. The feature of this work is that it deals with nonlinear non‐Lipschitz and unbounded distributed delay terms involving non‐Lipschitz and unbounded activation functions.

Suggested Citation

  • Nasser-Eddine Tatar, 2015. "Exponential Decay for a System of Equations with Distributed Delays," Journal of Applied Mathematics, John Wiley & Sons, vol. 2015(1).
    • Handle: RePEc:wly:jnljam:v:2015:y:2015:i:1:n:981383
    DOI: 10.1155/2015/981383
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    References listed on IDEAS

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    1. Song, Qiankun, 2008. "Novel criteria for global exponential periodicity and stability of recurrent neural networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 36(3), pages 720-728.
    2. Park, Ju H., 2006. "On global stability criterion for neural networks with discrete and distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 30(4), pages 897-902.
    3. Park, Ju H., 2008. "On global stability criterion of neural networks with continuously distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 444-449.
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