On a computer assisted proof of the existence of eigenvalues below the essential spectrum of the Sturm–Liouville problem-Reference-Cited by-同舟云学术

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On a computer assisted proof of the existence of eigenvalues below the essential spectrum of the Sturm–Liouville problem

Published:2000-12 Issue:1-2 Volume:125 Page:385-393
ISSN:0377-0427
Container-title:Journal of Computational and Applied Mathematics
language:en
Short-container-title:Journal of Computational and Applied Mathematics

Author:

Brown B.M,McCormack D.K.R,Zettl A

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference11 articles.

1. Introduction to interval computations;Alefeld,1983

2. Regular approximations of singular Sturm–Liouville problems;Bailey;Results Math.,1993

3. Spectral concentration and rapidly decaying potentials;Brown;J. Comput. Appl. Math.,1997

4. B.M. Brown, M.S.P. Eastham, D.K.R. McCormack, Resonances and analytic continuation for exponentially decaying Sturm–Liouville potentials, 1999, to appear.

5. Safe numerical bounds for the Titchmarsh-Weyl m(λ)-function;Brown;Math. Proc. Camb. Phil. Soc.,1993

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Dependence of eigenvalues on the boundary conditions of Sturm–Liouville problems with one singular endpoint;Journal of Differential Equations;2017-11

2. Eigenvalues of limit-point Sturm–Liouville problems;Journal of Mathematical Analysis and Applications;2014-11

3. Verification methods: Rigorous results using floating-point arithmetic;Acta Numerica;2010-05

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