Characterizing smoothness of solutions with respect to boundary data of Dirichlet-nonlocal-Dirichlet boundary value problems for third order ordinary differential equations.
Date
Authors
Access rights
Worldwide access
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
The goal of our paper is to establish analogues of Peano’s Theorem for Dirichlet-nonlocal-Dirichlet conditions in third order ordinary differential equations. We begin by establishing the difference quotient, followed by a telescoping sum, allowing us to set up a linear system of equations in two unknowns to establish the existence of the limit as h → 0. We finish by employing Cramer’s Rule, and list some quick corollaries for each variation of Peano’s Theorem.