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The Solutions of Some Functional Equations

Published online by Cambridge University Press:  20 November 2018

T.D. Howroyd
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 for finding real solutions of some of these equations. We prove a theorem which can sometimes be used to solve problems concerning the uniqueness of solutions of such equations.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 7 , Issue 2 , June 1964 , pp. 279 - 282
Copyright
Copyright © Canadian Mathematical Society 1964

References

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