Third-order differential equations with three-point boundary conditions-Reference-Cited by-同舟云学术

Third-order differential equations with three-point boundary conditions

Published:2021-01-01 Issue:1 Volume:19 Page:11-31
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Cabada Alberto¹,Dimitrov Nikolay D.²

Affiliation:

1. Departamento de Estatística, Análise Matemática e Optimización, Instituto de Matemáticas, Facultade de Matemáticas, Universidade de Santiago de Compostela , Santiago de Compostela , Galicia , Spain

2. Department of Mathematics, University of Ruse , 7017 Ruse , Bulgaria

Abstract

Abstract In this paper, a third-order ordinary differential equation coupled to three-point boundary conditions is considered. The related Green’s function changes its sign on the square of definition. Despite this, we are able to deduce the existence of positive and increasing functions on the whole interval of definition, which are convex in a given subinterval. The nonlinear considered problem consists on the product of a positive real parameter, a nonnegative function that depends on the spatial variable and a time dependent function, with negative sign on the first part of the interval and positive on the second one. The results hold by means of fixed point theorems on suitable cones.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2021-0007/pdf

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