D-ITERATIVE METHOD FOR SOLVING A DELAY DIFFERENTIAL EQUATION AND A TWO-POINT SECOND-ORDER BOUNDARY VALUE PROBLEMS IN BANACH SPACES

Francis Akutsah, Akindele Adebayo Mebawondu, Oluwatosin Babasola, Paranjothi Pillay, Ojen Kumar Narain

Research output: Contribution to journalArticlepeer-review

Abstract

The purpose of this paper is to re-establish the convergence, stability and data dependence results established by [2] and [3] by removing the strong assumptions imposed on the sequences which were used to obtain their results. In addition, we introduced a modified approach using the D-iterative method to solve a two-point second-order boundary value problem, and also obtain the solution of a delay differential equations using the obtained results in this paper. The results presented in this paper do not only extend and improve the results obtained in [2, 3], it further extends and improve some existing results in the literature.

Original languageEnglish
Article number6
JournalAustralian Journal of Mathematical Analysis and Applications
Volume19
Issue number2
Publication statusPublished - 23 Sep 2022

Keywords

  • D-iteration
  • Delay differential equations
  • Fixed point
  • Iterative scheme

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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