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Some strong limit-2 and Dirichiet criteria for fourth order differential expressions

Published online by Cambridge University Press:  24 October 2008

David Race
David Race
Affiliation:
Mathematics Department, University of Surrey, Guildford, Surrey GU2 5XH
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Abstract

Conditions are given on the real coefficients p, q and r and the weight w, for the fourth order formally symmetric differential expression

to have the properties of being strong limit-2 and Dirichlet at ∞, when considered in the weighted Hilbert space, . These extend existing results due to both W. N. Everitt and V. Krishna Kumar and cover an expression which is important in the study of certain orthogonal polynomials.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 108 , Issue 2 , September 1990 , pp. 409 - 416
Copyright
Copyright © Cambridge Philosophical Society 1990

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References

REFERENCES

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