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

Pedro Almenar Belenguer and Lucas Jódar
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Pedro Almenar Belenguer: Vodafone Spain, Avda. América 115, 28042 Madrid, Spain
Lucas Jódar: Instituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, Spain

Mathematics, 2020, vol. 8, issue 5, 1-22

Abstract: 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.

Keywords: n -th order linear differential equation; two-point boundary value problem; Green function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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