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On the stability of the limit-point property of “Kauffman expressions” under relatively bounded perturbations

Published online by Cambridge University Press:  14 November 2011

Bernhard Mergler
Affiliation:
Fachbereich 6-Mathematik, Universität-GHS-Essen, Universitätsstr. 3, 4300 Essen, FRG
Bernd Schultze
Affiliation:
Fachbereich 6-Mathematik, Universität-GHS-Essen, Universitätsstr. 3, 4300 Essen, FRG

Synopsis

In this paper we show that for the whole class of differential expressions in the limit-point case considered by Kauffman in [2], the perturbation theory yields a limit-point criterion for a much wider class of ordinary differential expressions. More general coefficients are admitted which may be eventually negative provided they are “dominated” by some other positive coefficients. This generalises results in [4], [5] and [6].

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1986

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References

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