Jesús Matute2026-03-222026-03-222014http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/20/0https://andeanlibrary.org/handle/123456789/62794In this paper we use a Leray-Schauder alternative in order to prove the existence and uniqueness of solutions for the Volterra equation, with a initial condition, in the Banach space of the bounded variation functions.enMathematicsBounded functionUniquenessBanach spaceBounded variationMathematical analysisBounded operatorVolterra equationsSpace (punctuation)Bounded deformationarticle