Asymptotic stability in totally nonlinear neutral difference equations

Authors

  • Abdelouaheb Ardjouni University Souk Ahras.
  • Ahcene Djoudi UBMA.

DOI:

https://doi.org/10.4067/S0716-09172015000300005

Keywords:

Fixed point, Stability, Neutral difference equations, Variable delay.

Abstract

In this paper we use fixed point method to prove asymptotic stability results of the zero solution of the totally nonlinear neutral difference equation with variable delay

∆ x (n) = —a (n) f (x (n — τ (n))) + ∆g (n, x (n — τ (n))).

An asymptotic stability theorem with a sufficient condition is proved, which improves and generalizes some results due to Raffoul (2006) , Yankson (2009), Jin and Luo (2009)  and Chen (2013).

Author Biographies

Abdelouaheb Ardjouni, University Souk Ahras.

Faculty of Sciences and Technology, Department of Mathematics and Informatics.

Ahcene Djoudi, UBMA.

Applied Mathematics Lab, Faculty of Sciences, Department of Mathematics.

References

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How to Cite

[1]
A. Ardjouni and A. Djoudi, “Asymptotic stability in totally nonlinear neutral difference equations”, Proyecciones (Antofagasta, On line), vol. 34, no. 3, pp. 255-276, 1.

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