Delay differential equations: a partially ordered sets approach in vectorial metric spaces

  • Mostafa Bachar*
  • , Mohamed A. Khamsi
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

In this paper we develop a fixed point theorem in the partially ordered vector metric space [InlineEquation not available: see fulltext.] by using vectorial norm. Then we use it to prove the existence of periodic solutions to nonlinear delay differential equations. MSC:06F30, 46B20, 47E10, 34K13, 34K05.

Original languageEnglish
Article number193
JournalFixed Point Theory and Algorithms for Sciences and Engineering
Volume2014
Issue number1
DOIs
StatePublished - 18 Dec 2014

Bibliographical note

Publisher Copyright:
© 2014, Bachar and Khamsi; licensee Springer.

Keywords

  • delay differential equations
  • fixed point
  • partially ordered set
  • periodic solutions

ASJC Scopus subject areas

  • Geometry and Topology
  • Applied Mathematics

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