Existence and Uniqueness of Solutions to Third-Order Boundary Value Problems

Authors

  • S. S. Almuthaybiri The University of New South Wales (UNSW)
  • J. M. Jonnalagadda Birla Institute of Technology and Science Pilani, Hyderabad
  • C. C. Tisdell The University of New South Wales (UNSW) https://orcid.org/0000-0002-3387-2505

DOI:

https://doi.org/10.5540/tcam.2021.022.02.00221

Keywords:

Third-order boundary value problem, existence, uniqueness and approximation of solutions, contraction mappings, fixed point theorems, closed and bounded sets, two and three-point boundary conditions.

Abstract

The purpose of this research is to connect fixed point methods with certain third-order boundary value problems in new and interesting ways. Our strategy involves an analysis of the problem under consideration within closed and bounded sets. We develop sufficient conditions under which the associated mappings will be contractive and invariant in these sets, which generates new advances concerning the existence, uniqueness and approximation of solutions.

Downloads

Published

2021-06-28

How to Cite

Almuthaybiri, S. S., Jonnalagadda, J. M., & Tisdell, C. C. (2021). Existence and Uniqueness of Solutions to Third-Order Boundary Value Problems. Trends in Computational and Applied Mathematics, 22(2), 221–240. https://doi.org/10.5540/tcam.2021.022.02.00221

Issue

Vol. 22 No. 2 (2021)

Section

Original Article

License

Authors who publish in this journal agree to the following terms: 

  1. Authors retain copyright and grant the journal the right of first publication, with the work simultaneously licensed under the Creative Commons Attribution License that allows the sharing of the work with acknowledgment of authorship and initial publication in this journal.

  2. Authors are authorized to assume additional contracts separately, for non-exclusive distribution of the version of the work published in this journal (eg, publish in an institutional repository or as a book chapter), with acknowledgment of authorship and initial publication in this journal.
     

  3. Authors are allowed and encouraged to publish and distribute their work online (eg, in institutional repositories or on their personal page) at any point before or during the editorial process, as this can generate productive changes as well as increase impact and the citation of the published work (See The effect of open access).

  4. This is an open access journal which means that all content is freely available without charge to the user or his/her institution. Users are allowed to read, download, copy, distribute, print, search, or link to the full texts of the articles, or use them for any other lawful purpose, without asking prior permission from the publisher or the
    author. This is in accordance with the BOAI definition of open access

 

Intellectual Property

All the contents of this journal, except where otherwise noted, is licensed under a Creative Commons Attribution License under attribution BY.