Some theorems on perturbation theory. IV-Reference-Cited by-同舟云学术

Some theorems on perturbation theory. IV

Published:1951-12-07 Issue:1100 Volume:210 Page:30-47
ISSN:0080-4630
Container-title:Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
language:en
Short-container-title:Proc. R. Soc. Lond. A

Author:

Abstract

A general analysis is given of the perturbation problem in which the perturbed equation has a continuous spectrum, while the unperturbed equation has a discrete spectrum. It is shown that in a certain class of cases the function which determines the spectrum has, in the perturbed case, a pole just below the real axis, so that instead of a perturbed eigenvalue there is a point in the neighbourhood of which the perturbed spectrum is highly concentrated.

Publisher

The Royal Society

Subject

Pharmacology (medical)

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.1951.0229

Reference3 articles.

1. T itchm arsh E . C. 1946 Eigenfunction expansions associated with second-order differential equations. Oxford U niversity Press.

2. 0 Proc. Roy;Soc. A,1951

3. T itchm arsh E . C. 19516 Quart. J . Math. (in th e Press).

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