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Reduction method for a fourth-order equation on a graph

Reduction method for a fourth-order equation on a graph We justify a method that permits one to reduce a boundary value problem on a graph to a problem on a narrower subset provided that the right-hand side of the differential equation is identically zero on some subgraph of the original graph. We find the signs of the coefficients in the boundary conditions of the reduced problem and clarify the relationship between these coefficients. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Reduction method for a fourth-order equation on a graph

Differential Equations , Volume 50 (3) – Apr 23, 2014

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References (21)

Publisher
Springer Journals
Copyright
Copyright © 2014 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/S0012266114030033
Publisher site
See Article on Publisher Site

Abstract

We justify a method that permits one to reduce a boundary value problem on a graph to a problem on a narrower subset provided that the right-hand side of the differential equation is identically zero on some subgraph of the original graph. We find the signs of the coefficients in the boundary conditions of the reduced problem and clarify the relationship between these coefficients.

Journal

Differential EquationsSpringer Journals

Published: Apr 23, 2014

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