Open AccessTheoretical and Numerical Aspects of a Third-order Three-point Nonhomogeneous Boundary Value Problem
Author(s) -
André Luís Machado Martinez,
Marcelo R. A. Ferreira,
Emerson Vitor Castelani
Publication year - 2019
Publication title -
tema
Language(s) - English
Resource type - Journals
eISSN - 2179-8451
pISSN - 1677-1966
DOI - 10.5540/tema.2019.020.03.417
Subject(s) - mathematics , boundary value problem , order (exchange) , fixed point theorem , point (geometry) , third order , mathematical analysis , value (mathematics) , boundary (topology) , geometry , law , statistics , finance , political science , economics
In this paper we are considering a third-order three-point equation with nonhomogeneous conditions in the boundary. Using Krasnoselskii's Theorem and Leray-Schauder Alternative we provide existence results of positive solutions for this problem. Nontrivials examples are given and a numerical method is introduced.