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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

Thomas T. Read
Thomas T. Read
Affiliation:
Department of Mathematics, Western Washington University, Bellingham, Washington 98225, U.S.A
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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

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