arXiv Analytics

Sign in

arXiv:1207.2713 [math.CA]AbstractReferencesReviewsResources

Spectral problems in inhomogeneous media, spectral parameter power series and transmutation operators

Vladislav V. Kravchenko, Sergii M. Torba

Published 2012-07-11Version 1

We give a brief overview of recent developments in Sturm-Liouville theory concerning operators of transmutation (transformation) and spectral parameter power series (SPPS) and propose a new method for numerical solution of corresponding spectral problems.

Comments: 8 pages. arXiv admin note: substantial text overlap with arXiv:1203.4225
Journal: 2012 International Conference on Mathematical Methods in Electromagnetic Theory (MMET-2012), IEEE Conference Publications, 18--22
Categories: math.CA, math-ph, math.MP, math.NA
Subjects: 34B24, 34L40, 41A50, 65L15, 81Q05
Related articles: Most relevant | Search more
arXiv:1303.3911 [math.CA] (Published 2013-03-15)
Spectral parameter power series for perturbed Bessel equations
arXiv:1401.1520 [math.CA] (Published 2014-01-07)
Spectral parameter power series for polynomial pencils of Sturm-Liouville operators and Zakharov-Shabat systems
arXiv:1712.06717 [math.CA] (Published 2017-12-18)
Spectral parameter power series for arbitrary order linear differential equations

Links

Toolbox