Perturbation theory of differential operators
Date
2017
Authors
Nyamwala, Fredrick Oluoch
Journal Title
Journal ISSN
Volume Title
Publisher
Strathmore University
Abstract
Suppose that M and S are differential operators and T is given by T = M-zS, where z is the spectral parameter. Here, we give the necessary and sufficient conditions for the deficiency indices and spectral properties of selfadjoint realisations of T and M to be equal on Hilbert spaces of square integrable functions.
Description
Paper presented at the 4th Strathmore International Mathematics Conference (SIMC 2017), 19 - 23 June 2017, Strathmore University, Nairobi, Kenya.
Keywords
Perturbation theory, Differential operators