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Note on a Resolution of Linear Differential Systems

Published online by Cambridge University Press:  20 January 2009

I. S.  and
E. S. Sokolnikoff
E. S. Sokolnikoff
Affiliation:
University of Wisconsin.
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In a recent paper J. M. Whittaker considered the problem of resolving a linear differential system into a product of two or more systems of lower order. This note is a contribution to this problem and furnishes the necessary and sufficient conditions for the resolution of the system into two equivalent systems of lower order of the type considered by Whittaker.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 4 , Issue 1 , March 1934 , pp. 36 - 40
Copyright
Copyright © Edinburgh Mathematical Society 1934

References

page 36 note 1 Whittaker, J.M.Proceedings of the Edinburgh Mathematical Society (2), 3 (1932), 10–15.CrossRefGoogle Scholar

page 37 note 1 Using Leibnitz's Theorem Dn (uv) = [Du + Dv]n.