Hostname: page-component-745bb68f8f-f46jp Total loading time: 0 Render date: 2025-01-26T13:13:55.077Z Has data issue: false hasContentIssue false
  • English
  • Français

On some properties of matrices associated with linear ordinary quasi-differential expressions

Published online by Cambridge University Press:  14 November 2011

W. N. Everitt  and
Jennifer D. Key
W. N. Everitt
Affiliation:
Department of Mathematics, University of Birmingham, P.O. Box 363, Birmingham B15 2TT
Jennifer D. Key
Affiliation:
Department of Mathematics, University of Birmingham, P.O. Box 363, Birmingham B15 2TT
Get access Rights & Permissions [Opens in a new window]

Synopsis

In the general theory of ordinary linear quasi-differential equations, the set of Shin–Zettl matrices plays an important role. This paper displays certain properties of these matrices and their behaviour under a special form of transformation. Essentially, the problems can be considered within the framework of linear algebra.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 96 , Issue 3-4 , 1984 , pp. 211 - 220
Copyright
Copyright © Royal Society of Edinburgh 1984

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1Everitt, W. N. and Neuman, F..A concept of adjointness and symmetry of differential expressions based on the generalised Lagrange identity and Green formula. To appear in the Proceedings of the 1982 Dundee Symposium on Ordinary Differential Equations (Berlin: Springer).Google Scholar
2Everitt, W. N. and Zettl, A.. Generalized symmetric ordinary differential expressions I: the general theory. Nieuw Arch. Wisk. 27 (1979), 362–397.Google Scholar
3Naimark, M. A.. Linear differential operators (New York: Ungar Part 1, 1967; Part II, 1968).Google Scholar
4Morris, A. O.. Linear algebra: an introduction 2nd edn (New York: Van Nostrand, 1982).Google Scholar
5Zettl, A.. Formally self-adjoint quasi-differential operators. Rocky Mountain J. Math. 5 (1975), 453–474.CrossRefGoogle Scholar