Darboux transformations on Sturm-Liouville eigenvalue problems with eigenparameter dependant transmission conditions

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dc.contributor.authorPhalafala, Rakgwahla, Jessica
dc.date.accessioned2018-07-09T12:37:34Z
dc.date.available2018-07-09T12:37:34Z
dc.date.issued2017
dc.descriptionA dissertation submitted in fulfillment of the requirements for the degree of Master of Science to the Faculty of Science, University of the Witwatersrand, Johannesburg, 2017en_ZA
dc.description.abstractSturm-Liouville eigenvalue problems arise prominently in mathematical physics. An innumerous amount of complexities have been encountered in solving these problems and a myriad of techniques have been explored over the century. In this work, we investigate one such technique, namely the Darboux-Crum trans formation. This transformation transforms an existing problem into one that is readily solvable or displays properties that are better understood. In particular, we focus our attention on the e↵ect the Darboux-Crum transformation has on the eigenparameter dependence of the transmission condition of our Sturm-Liouville eigenvalue problem.en_ZA
dc.description.librarianXL2018en_ZA
dc.format.extentOnline resource (iv, 79 leaves)
dc.identifier.citationPhalafala, Rakgwahla Jessica (2018) Darboux transformations on Sturm-Liouville eigenvalue problems with eigenparameter dependant transmission conditions, University of the Witwatersrand, Johannesburg, https://hdl.handle.net/10539/24838
dc.identifier.urihttps://hdl.handle.net/10539/24838
dc.language.isoenen_ZA
dc.subject.lcshSturm-Liouville equation
dc.subject.lcshEigenvalues
dc.titleDarboux transformations on Sturm-Liouville eigenvalue problems with eigenparameter dependant transmission conditionsen_ZA
dc.typeThesisen_ZA
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