A dissertation submitted to the Faculty of Science, University of the Witwatersrand, Johannesburg, in ful lment of the requirements for the degree of Master of Science.
Johannesburg, March 2015. / The primary purpose of this study is to investigate the asymptotic distribution of
the eigenvalues of self-adjoint second order di erential operators. We rst analyse the problem
where the functions g and h are equal to zero. To improve on the terms of the
eigenvalue problem for g; h = 0, we consider the eigenvalue problem for general
functions g and h. Here we calculate explicitly the rst four terms of the eigenvalue
asymptotics problem.
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:wits/oai:wiredspace.wits.ac.za:10539/18592 |
| Date | 03 1900 |
| Creators | Boshego, Norman |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Type | Thesis |
| Format | application/pdf |
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