Spectral properties of fourth order boundary value problems with eigenvalue parameter dependent and periodic boundary conditions
| dc.contributor.author | Moletsane, Boitumelo | |
| dc.date.accessioned | 2019-09-11T07:47:36Z | |
| dc.date.available | 2019-09-11T07:47:36Z | |
| dc.date.issued | 2019 | |
| dc.description | A thesis submitted in fulfillment of the requirements for the degree of Doctor of Philosophy School of Mathematics University of the Witwatersrand Johannesburg, South Africa, January 2019 | en_ZA |
| dc.description.abstract | In this thesis,wegivefirstorderasymptoticsofeigenvaluesofquadraticpencils presenting a fourth order differential equation together a mixture of boundary conditions that depend on the eigenvalue parameter and are periodic or antiperiodic. The non-self-adjoint quadratic pencils have the two constant coefficient operators and the differential operator all self-adjoint. For the same differential equationandthesamesetofboundaryconditionswheretheonlydifferenceisthat the boundary conditions which are periodic are replaced with anti-periodic one, thezerosoftheircharacterisiticdeterminantsareinterlaced. Thus,theeigenvalues of their quadratic pencils with periodic and anti-periodic boundary conditions, respectively, are interlaced and lie in the first and third quadrant of the complex plane. In both cases the periodic and anti-periodic boundary conditions do not depend on the eigenvalue parameter | en_ZA |
| dc.description.librarian | MT 2019 | en_ZA |
| dc.identifier.uri | https://hdl.handle.net/10539/28082 | |
| dc.language.iso | en | en_ZA |
| dc.phd.title | PHD | en_ZA |
| dc.title | Spectral properties of fourth order boundary value problems with eigenvalue parameter dependent and periodic boundary conditions | en_ZA |
| dc.type | Thesis | en_ZA |
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