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Eigenvalues of regular fourth‐order Sturm–Liouville problems with transmission conditions

Eigenvalues of regular fourth‐order Sturm–Liouville problems with transmission conditions In this paper, a class of fourth‐order Sturm‐Liouville problems with transmission conditions is considered. The eigenvalues depend not only continuously but also smoothly on the problem. An expression for the derivative of the eigenvalues with respect to a given parameter: an endpoint, a boundary condition, a transmission condition, a coefficient, or the weight function, is found. Copyright © 2016 John Wiley & Sons, Ltd. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematical Methods in the Applied Sciences Wiley

Eigenvalues of regular fourth‐order Sturm–Liouville problems with transmission conditions

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References (28)

Publisher
Wiley
Copyright
Copyright © 2017 John Wiley & Sons, Ltd.
ISSN
0170-4214
eISSN
1099-1476
DOI
10.1002/mma.4243
Publisher site
See Article on Publisher Site

Abstract

In this paper, a class of fourth‐order Sturm‐Liouville problems with transmission conditions is considered. The eigenvalues depend not only continuously but also smoothly on the problem. An expression for the derivative of the eigenvalues with respect to a given parameter: an endpoint, a boundary condition, a transmission condition, a coefficient, or the weight function, is found. Copyright © 2016 John Wiley & Sons, Ltd.

Journal

Mathematical Methods in the Applied SciencesWiley

Published: Mar 15, 2018

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