Arawomo, P. O.Akinyele, O.2023-03-202023-03-2020021056-2176ui_art_arawomo_interval_2002Dynamic Systems and Applications 11, pp. 545-556http://ir.library.ui.edu.ng/handle/123456789/8083The method of interval analysis is employed to show that the solution, if it exists, of a first order initial value problem is majorised by an interval function whose end- functions satisfy some prescribed conditions. An interval operator is constructed and shown to be a contraction on the majorising interval function. Using this operator, the existence and uniqueness of the solution is established.enArticle