Existence of positive periodic solutions for nonlinear neutral dynamic equations with variable coefficients on a time scale

  • Abdelouaheb Ardjouni Univ Souk Ahras
  • Ahcene Djoudi Univ Souk Ahras

Résumé

Let T be a periodic time scale. The purpose of this paper is to use Krasnoselskii's fixed point theorem to prove the existence of positive periodic solutions for nonlinear neutral dynamic equations with variable coefficients on a time scale. We invert these equations to construct a sum of a contraction and a compact map which is suitable for applying the Krasnoselskii's theorem. The results obtained here extend the work of Candan <cite>c1</cite>.

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Bibliographies de l'auteur

Abdelouaheb Ardjouni, Univ Souk Ahras
Faculty of Sciences and Technology, Department of Mathematics and Informatics
Ahcene Djoudi, Univ Souk Ahras
Applied Mathematics Lab, Faculty of Sciences
Publiée
2018-04-01
Rubrique
Articles