Problemas no lineales de tipo Ambrosetti Prodi : técnicas de sub y súper soluciones y el grado topológico para encontrar soluciones a una ecuación diferencial ordinaria de segundo orden con coeficientes periódicos de tipo Ambrosetti-Prodi.

Abstract

Given an ordinary differential equation of the Ambrosetti-Prodi type, where one of its components is periodic, we are going to find the solutions or possible solutions for the differential equation. To achieve that, we will focus on studying two different techniques, the first is known as upper and lower solutions and the second is the topological degree, the appropriate ones are used to solve differential equations. Finally we will adapt these techniques to find answers to our problem.