{ "id": "1207.2713", "version": "v1", "published": "2012-07-11T17:19:43.000Z", "updated": "2012-07-11T17:19:43.000Z", "title": "Spectral problems in inhomogeneous media, spectral parameter power series and transmutation operators", "authors": [ "Vladislav V. Kravchenko", "Sergii M. Torba" ], "comment": "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", "doi": "10.1109/MMET.2012.6331232", "categories": [ "math.CA", "math-ph", "math.MP", "math.NA" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2012-07-11T17:19:43.000Z" } ], "analyses": { "subjects": [ "34B24", "34L40", "41A50", "65L15", "81Q05" ], "keywords": [ "spectral parameter power series", "transmutation operators", "inhomogeneous media", "sturm-liouville theory concerning operators", "corresponding spectral problems" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1207.2713K" } } }