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Sign Properties of Green's Functions For Two Classes of Boundary Value Problems

Published online by Cambridge University Press:  20 November 2018

P. W. Eloe
P. W. Eloe*
Affiliation:
Department of Mathematics, University of Dayton Dayton, Ohio 45469
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Abstract

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Let G(x,s) be the Green's function for the boundary value problem y(n) = 0, Ty = 0, where Ty = 0 represents boundary conditions at two points. The signs of G(x,s) and certain of its partial derivatives with respect to x are determined for two classes of boundary value problems. The results are also carried over to analogous classes of boundary value problems for difference equations.

Keywords

Primary 34B27Secondary 39A10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 30 , Issue 1 , 01 March 1987 , pp. 28 - 35
Copyright
Copyright © Canadian Mathematical Society 01

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