Open AccessExistence and Uniqueness of Solutions to Third-Order Boundary Value Problems
Author(s) -
Saleh S. Almuthaybiri,
Jagan Mohan Jonnalagadda,
Christopher C. Tisdell
Publication year - 2021
Publication title -
trends in computational and applied mathematics
Language(s) - English
Resource type - Journals
ISSN - 2676-0029
DOI - 10.5540/tcam.2021.022.02.00221
Subject(s) - uniqueness , mathematics , boundary value problem , bounded function , third order , order (exchange) , invariant (physics) , value (mathematics) , fixed point , mathematical analysis , economics , mathematical physics , philosophy , theology , statistics , finance
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.