Theoretical and Numerical Aspects of a Third-order Three-point Nonhomogeneous Boundary Value Problem | Zendy

André Luís Machado Martinez | Zendy; Marcelo R. A. Ferreira | Zendy; Emerson Vitor Castelani | Zendy

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Theoretical 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 (são carlos)

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.

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