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The deficiency indices of powers of second order expressions with large leading coefficient
Published online by Cambridge University Press: 14 November 2011
Synopsis
The deficiency index of each power of the differential expression M[y] = w−1(−(py′)′ + qy), defined on [a, ∞), is calculated exactly in terms of the behaviour of a simple function of p and w for a large class of expressions satisfying a hypothesis which requires that p be large compared with w and q. In general, not all powers of M are limit-point.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 101 , Issue 3-4 , 1985 , pp. 227 - 235
- Copyright
- Copyright © Royal Society of Edinburgh 1985