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Asymptotic theory and deficiency indices for differential equations of odd order

Published online by Cambridge University Press:  14 November 2011

M. S. P. Eastham
M. S. P. Eastham
Affiliation:
Chelsea College (University of London), London SW3 6LX
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Synopsis

An asymptotic theory is developed for linear differential equations of odd order. The theory is applied to the evaluation of the deficiency indices N+ and N− associated with symmetric differential expressions of odd order. General conditions on the coefficients are given under which all possible values of N+ and N subject to | N+ − N | ≦ 1 are realized.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 90 , Issue 3-4 , 1981 , pp. 263 - 279
Copyright
Copyright © Royal Society of Edinburgh 1981

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