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Criterion for the positiveness of the Green function of a many-point boundary value problem for a fourth-order equation

Criterion for the positiveness of the Green function of a many-point boundary value problem for a... We study the sign properties of the Green function of a discontinuous boundary value problem for a fourth-order equation describing small deformations of a chain of rigidly connected rods with elastic supports at the connection points and with elastic clamping at the endpoints. We obtain necessary and sufficient conditions under which the Green function is positive inside its domain. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Criterion for the positiveness of the Green function of a many-point boundary value problem for a fourth-order equation

Differential Equations , Volume 51 (2) – Mar 22, 2015

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References (19)

Publisher
Springer Journals
Copyright
Copyright © 2015 by Pleiades Publishing, Ltd.
Subject
Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266115020020
Publisher site
See Article on Publisher Site

Abstract

We study the sign properties of the Green function of a discontinuous boundary value problem for a fourth-order equation describing small deformations of a chain of rigidly connected rods with elastic supports at the connection points and with elastic clamping at the endpoints. We obtain necessary and sufficient conditions under which the Green function is positive inside its domain.

Journal

Differential EquationsSpringer Journals

Published: Mar 22, 2015

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