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Practical Uniform Stability of Nonlinear Differential Delay Equations

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Abstract

In this paper, we investigate the problem of global uniform practical exponential stability of a general nonlinear non autonomous differential delay equations. Using the global uniform practical exponential stability of the corresponding differential equation without delay, we show that the differential delay equation will remain globally uniformly practically exponentially stable provided that the time-lag is small enough. Finally, some illustrative examples are given to demonstrate the validity of the results.

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Authors and Affiliations

  1. Department of Mathematics, Higher Institute of Applied Sciences and Technologies of Gabès, Street Amor Ben El Khatab, 6029, Gabès, Tunisia

    Bassem Ben Hamed

  2. Department of Mathematics, Faculty of Sciences of Sfax, BP 1171, 3000, Sfax, Tunisia

    Imen Ellouze & Mohamed Ali Hammami

Authors
  1. Bassem Ben Hamed
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  2. Imen Ellouze
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  3. Mohamed Ali Hammami
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Correspondence to Bassem Ben Hamed.

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Hamed, B.B., Ellouze, I. & Hammami, M.A. Practical Uniform Stability of Nonlinear Differential Delay Equations. Mediterr. J. Math. 8, 603–616 (2011). https://doi.org/10.1007/s00009-010-0083-7

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  • DOI: https://doi.org/10.1007/s00009-010-0083-7

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