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- Title
Eigenvalues of regular fourth-order Sturm-Liouville problems with transmission conditions.
- Authors
Li, Kun; Sun, Jiong; Hao, Xiaoling
- 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.
- Subjects
EIGENVALUES; NUMERICAL solutions to Sturm-Liouville equations; LIOUVILLE'S theorem; BOUNDARY value problems; MATHEMATICAL functions
- Publication
Mathematical Methods in the Applied Sciences, 2017, Vol 40, Issue 10, p3538
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.4243