The Sign of the Green Function of an n-th Order Linear Boundary Value Problem

This paper provides results on the sign of the Green function (and its partial derivatives) of an n-th order boundary value problem subject to a wide set of homogeneous two-point boundary conditions. The dependence of the absolute value of the Green function and some of its partial derivatives with...

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Bibliographic Details
Published inMathematics (Basel) Vol. 8; no. 5; p. 673
Main Authors Almenar Belenguer, Pedro, Jódar, Lucas
Format Journal Article
LanguageEnglish
Published MDPI AG 01.05.2020
Subjects
Green function
n-th order linear differential equation
two-point boundary value problem
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ISSN2227-7390
2227-7390
DOI10.3390/math8050673

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Summary:This paper provides results on the sign of the Green function (and its partial derivatives) of an n-th order boundary value problem subject to a wide set of homogeneous two-point boundary conditions. The dependence of the absolute value of the Green function and some of its partial derivatives with respect to the extremes where the boundary conditions are set is also assessed.
ISSN:2227-7390
2227-7390
DOI:10.3390/math8050673