Uma aplicação do teorema do ponto fixo de Banach a uma equação com três pontos de fronteira

Abstract

The diferencial equations consist in a class of Mathematics problems that involve a plurality of contents, among which the Fixed Point Theory is highlighted, which is a tool used in order to study the following third-order three-point nonhomogeneous boundary value problems. So it will be explicited lemmas and hypotheses needed to use the Banach Fixed Point Theorem and demonstrate the existence of uniqueness of solution.