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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
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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