ETD Collection

Permanent URI for this collectionhttps://wiredspace.wits.ac.za/handle/10539/104


Please note: Digitised content is made available at the best possible quality range, taking into consideration file size and the condition of the original item. These restrictions may sometimes affect the quality of the final published item. For queries regarding content of ETD collection please contact IR specialists by email : IR specialists or Tel : 011 717 4652 / 1954

Follow the link below for important information about Electronic Theses and Dissertations (ETD)

Library Guide about ETD

Browse

Filters

2012 - 20152

Settings

Author: search.filters.author.Roth, ThomasHas files: Yes

Search Results

Now showing 1 - 2 of 2
  • No Thumbnail Available
    Item
    Forward and inverse problem of Hermitian systems in C2.
    (2015-05-06) Roth, Thomas
    In this thesis, the forward and inverse Spectral Theory for first order Hermitian systems with complex potentials and periodic boundary conditions are studied. The aim of this work is to prove two inverse periodicity Theorems and two uniqueness results for determinants of quasiperiodic boundary value problems.
  • No Thumbnail Available
    Item
    Geometric and function analytic approaches to the study of Sturm-Liouville theory
    (2012-07-04) Roth, Thomas
    Ordinary second order linear di erential boundary value problems are of great interest in the study of physical systems, despite this and the length of their history they have many aspects which have only recently been understood. The aim of this work is to examine the geometric and functional analytical approaches to the study of Sturm-Liouville eigenvalue problem with separated boundary conditions. In particular, the following sub-problems will be investigated: Self-adjointness, oscillation theory, variational formulations and the completeness of eigenfunction expansions. The construction of Self-adjoint operators will be studies through de ciency indicies and through symplectic geometry. After the classical variational problem is identi- ed and studied, Lusternik-Schnirelmann theory which is a topologically invariant variational principle will be examined