Spectral theory of self-adjoint higher order differential operators with eigenvalue parameter dependent boundary conditions

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dc.contributor.authorZinsou, Bertin
dc.date.accessioned2012-09-05T06:41:53Z
dc.date.available2012-09-05T06:41:53Z
dc.date.issued2012-09-05
dc.description.abstractWe consider on the interval [0; a], rstly fourth-order di erential operators with eigenvalue parameter dependent boundary conditions and secondly a sixth-order di erential operator with eigenvalue parameter dependent boundary conditions. We associate to each of these problems a quadratic operator pencil with self-adjoint operators. We investigate the spectral proprieties of these problems, the location of the eigenvalues and we explicitly derive the rst four terms of the eigenvalue asymptotics.en_ZA
dc.identifier.urihttp://hdl.handle.net/10539/11886
dc.language.isoenen_ZA
dc.subject.lcshSpectral theory (Mathematics)
dc.subject.lcshDifferential operators.
dc.subject.lcshEigenvalues.
dc.titleSpectral theory of self-adjoint higher order differential operators with eigenvalue parameter dependent boundary conditionsen_ZA
dc.typeThesisen_ZA
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