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A new method of solving the index problem for Sturm-Liouville eigenvalues

A new method of solving the index problem for Sturm-Liouville eigenvalues Based on some recent results for interlacing eigenvalue intervals from 1-parameter families of sequences of eigenvalue inequalities, a new method is given to solving the index problem for Sturm-Liouville eigenvalues for coupled self-adjoint boundary conditions in the regular case. The key is a new characteristic principle for indices for Sturm-Liouville eigenvalues. The algorithm corresponding on the characteristic principle are discussed, and numerical examples are presented to illustrate the theoretical results and show that the algorithm is valid. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

A new method of solving the index problem for Sturm-Liouville eigenvalues

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References (8)

Publisher
Springer Journals
Copyright
Copyright © 2015 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-015-0520-2
Publisher site
See Article on Publisher Site

Abstract

Based on some recent results for interlacing eigenvalue intervals from 1-parameter families of sequences of eigenvalue inequalities, a new method is given to solving the index problem for Sturm-Liouville eigenvalues for coupled self-adjoint boundary conditions in the regular case. The key is a new characteristic principle for indices for Sturm-Liouville eigenvalues. The algorithm corresponding on the characteristic principle are discussed, and numerical examples are presented to illustrate the theoretical results and show that the algorithm is valid.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Nov 3, 2015

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