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Limit-point (LP) criteria for real symmetric differential expressions of order 2n†

Published online by Cambridge University Press:  14 November 2011

H. Kurss  and
G. Meyer
H. Kurss
Affiliation:
Department of Mathematics, Adelphi University, Garden City, L.I., New York 11530, U.S.A.
G. Meyer
Affiliation:
Department of Data Processing, Laguardia Community College, L.I.C., New York 11101, U.S.A.
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Synopsis

An interval-type LP criterion for

is derived in which “positive” coefficients play a prominent role. When pn = 1 and all the other pi are zero this reduces to a result of Ismagilov (1962). Successive specializations are obtained with the growth of the pi constrained by monomials in x. Previous LP criteria of Everitt (1968) and Hinton (1972, 1974) are shown to be special cases.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 88 , Issue 3-4 , 1981 , pp. 203 - 217
Copyright
Copyright © Royal Society of Edinburgh 1981

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