In this work we will present the Sturm-Liouville classic theory for the regular problem, showing that several properties of the eigenvalues and eigenfunctions of this problem, for example, that the eigenvalues form an ...

In this work we use an iterative method inspired by the inverse iteration with shift technique of linear linear algebra to find the eigenvalues and eigenfunctions of the Sturm-Liouville problem. First, we set the function ...

Este texto aborda os principais resultados sobre a Teoria de Sturm-Liouville assim como os pré-requisitos necessários para construí-los, entre eles o Teorema Espectral para Operadores Compactos e a Teoria de Fredholm. ...

Let $\Gamma$ be geometric tree graph with $m$ edges and consider the second order Sturm-Liouville operator $\mathcal{L}[u]=(-pu')'+qu$ acting on functions that are continuous on all of $\Gamma$, and twice continuously ...

Neste trabalho são analisadas as equaçoes de Dirac r Klein-Gordon com a estrutura de Lorentz mais geral para potenciais externos em 3 + 1 dimensões de espaço-tempo e correspondentes limites não relativisticos para o potencial ...

In this paper we study an inverse problem for weighted second order Sturm-Liouville equations. We show that the zeros of any subsequence of eigenfunctions, or a dense set of nodes, are enough to determine the weight. We ...