Stability in mixed linear delay Levin-Nohel integro-dynamic equations on time scales

  • Kamel Ali Khelil University of Annaba
  • Abdelouaheb Ardjouni University of Souk Ahras
  • Ahcene Djoudi University of Annaba

Résumé

In this paper we use the contraction mapping theorem to obtain asymptotic stability results about the zero solution for the following mixed linear delay Levin-Nohel integro-dynamic equation

    x^{Δ}(t)+∫_{t-r(t)}^{t}a(t,s)x(s)Δs+b(t)x(t-h(t))=0, t∈[t₀,∞)∩T,

where f^{△} is the △-derivative on T. An asymptotic stability theorem with a necessary and sufficient condition is proved. The results obtained here extend the work of Dung <cite>d</cite>. In addition, the case of the equation with several delays is studied.

Téléchargements

Les données sur le téléchargement ne sont pas encore disponible.
Publiée
2019-03-31
Rubrique
Articles