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On the strong limit-point and Dirichlet properties of second order differential expressions

Published online by Cambridge University Press:  14 November 2011

D. Race
Affiliation:
Mathematics Department, University of Surrey, Guildford, Surrey GU2 5XH

Synopsis

Second order differential expressions of the form w−1(−(pf′)′ + qf) are considered at a singular end-point. Some of the known relationships between properties such as Dirichlet, weak Dirichlet and strong limit-point, are extended to incorporate an arbitrary, positive weight function and complexvalued coefficients.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1985

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