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Semibounded Extensions of Singular Ordinary Differential Operators

Published online by Cambridge University Press:  20 November 2018

Allan M. Krall
Allan M. Krall*
Affiliation:
McAllister Building, The Pennsylvania State University university Park, Pennsylvania16802
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Abstract

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The self-adjoint extensions of the singular differential operator Ly = [(py’)’ + qy]/w, where p < 0, w > 0, q ≧ mw, are characterized under limit-circle conditions. It is shown that as long as the coefficients of certain boundary conditions define points which lie between two lines, the extension they help define has the same lower bound.

Keywords

34B2034B25
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 31 , Issue 4 , 01 December 1988 , pp. 432 - 438
Copyright
Copyright © Canadian Mathematical Society 1988

References

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