Spectral analysis of self-adjoint second order differential operators
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Date
2015-03
Authors
Boshego, Norman
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Abstract
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.
Description
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.