Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Note on a limit-point criterion

Author: Ian Knowles
Journal: Proc. Amer. Math. Soc. 41 (1973), 117-119
MSC: Primary 34B20
MathSciNet review: 0320425
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Abstract: A sufficient condition is given for the formal differential operator $ \tau y(t) = (p(t)y'(t))' + q(t)y(t)$ defined on the interval $ [a,b),b \leqq \infty $, to be of limit-point type at $ b$; this generalizes a criterion of Ismagilov given for the case $ p(t) = 1$ and $ b = \infty $.

References [Enhancements On Off] (What's this?)

  • [1] R. S. Ismagilov, On the self-adjointness of the Sturm-Liouville operator, Uspehi Mat. Nauk 18 (1963), no. 5 (113), 161–166 (Russian). MR 0155037

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Keywords: Differential operator, second order, limit-point type
Article copyright: © Copyright 1973 American Mathematical Society