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A note on linear ordinary quasi-differential equations

Published online by Cambridge University Press:  14 November 2011

W. N. Everitt
W. N. Everitt
Affiliation:
Department of Mathematics, University of Birmingham, Birmingham B15 2TT, England
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Synopsis

The theory of differential equations is largely concerned with properties of solutions of individual, or classes of, equations. This paper is given over to the converse problem - that of seeking properties of functions which require them to be, in some respect, solutions of a differential equation, and to determining all possible such differential equations.

From this point of view this paper discusses only linear ordinary quasi-differential equations of the second order. However, the methods can be extended to quasi-differential equations of general order.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 101 , Issue 1-2 , 1985 , pp. 1 - 14
Copyright
Copyright © Royal Society of Edinburgh 1985

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