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On the solvability of a boundary value problem for a fourth-order equation on a graph

On the solvability of a boundary value problem for a fourth-order equation on a graph We consider a boundary value problem for a fourth-order equation on a graph modeling elastic deformations of a plane rod system with conditions of rigid connection at the vertices. Conditions for the unique solvability are stated. We also present sufficient conditions for the problem to be degenerate. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

On the solvability of a boundary value problem for a fourth-order equation on a graph

Differential Equations , Volume 50 (1) – Mar 7, 2014

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References (19)

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/S0012266114010042
Publisher site
See Article on Publisher Site

Abstract

We consider a boundary value problem for a fourth-order equation on a graph modeling elastic deformations of a plane rod system with conditions of rigid connection at the vertices. Conditions for the unique solvability are stated. We also present sufficient conditions for the problem to be degenerate.

Journal

Differential EquationsSpringer Journals

Published: Mar 7, 2014

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