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The Solutions of Some Functional Equations

Published online by Cambridge University Press:  20 November 2018

T.D. Howroyd*
Affiliation:
University of New Brunswick
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In this paper we are concerned with functional equations of the type

1 .

in which x, y do not appear explicitly. J. Aczel [1] has given a method forfinding real solutions of some of these equations. We prove a theorem whichcan sometimes be used to solve problems concerning the uniqueness ofsolutions of such equations.

Information

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1964

References

1. Aczel, J., Vorlesungen Uber Funktionalgleichungen und Ihre Anwendungen, Chap. 2 (Basel 1961).Google Scholar