Asymptotic stability in totally nonlinear neutral difference equations

• Ardjouni, Abdelouaheb ^[2] ; Djoudi, Ahcene ^[1]
  1. [1] Badji Mokhtar University

     Badji Mokhtar University

     Argelia

     
  2. [2] University Souk Ahras.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 34, Nº. 3, 2015, págs. 255-276
• Idioma: inglés
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• Resumen

  • 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).