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On a non-definite Sturm-Liouville problem in the two turning point case - analysis and numerical results
Luleå University of Technology, Department of Engineering Sciences and Mathematics. Department of Mathematics and Statistics, The University of Zambia..ORCID iD: 0000-0002-8898-4547
Number of Authors: 1
2016 (English)In: Journal of Applied Mathematics and Physics, ISSN ISSN Online: 2327- 4379 ISSN Print: 2327 -4352, Vol. 4, 1787-1810 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we study the non-definite Sturm-Liouville problem comprising of a regular Sturm-Liouville equation and  Dirichlet boundary conditions on a closed interval. We consider the case in which the weight function changes sign twice in the given interval of definition. We give detailed numerical results on the spectrum of the problem, from which we verify various results on general non definite Sturm-liouville problems. We also present some theoretical results which support the numerical results. Some numerical results seem to be in contrast with the results that are so far obtained in the case where the weight function changes sign once. This leads to more open questions for future studies in this particular area.

Place, publisher, year, edition, pages
2016. Vol. 4, 1787-1810 p.
Keyword [en]
Eigenvalue, Eigenfunction, Non-definite, Turning point, Richardson number, Richardson index, Haupt index, Oscillation number, Right-definite, Left-definite
National Category
Mathematical Analysis
Research subject
URN: urn:nbn:se:ltu:diva-59721DOI: 10.4236/jamp.2016.49184OAI: diva2:1034867
Available from: 2016-10-13 Created: 2016-10-13 Last updated: 2016-11-29Bibliographically approved

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Kikonko, Mervis
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Department of Engineering Sciences and Mathematics
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