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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The stability of certain functional equations
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by John A. Baker PDF
Proc. Amer. Math. Soc. 112 (1991), 729-732 Request permission

Abstract:

The aim of this paper is to prove the stability (in the sense of Ulam) of the functional equation: \[ f(t) = \alpha (t) + \beta (t)f(\phi (t)),\] where $\alpha$ and $\beta$ are given complex valued functions defined on a nonempty set $S$ such that $\sup \{ |\beta (t)|:t \in S\} < 1$ and $\phi$ is a given mapping of $S$ into itself.
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Additional Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 112 (1991), 729-732
  • MSC: Primary 39B52
  • DOI: https://doi.org/10.1090/S0002-9939-1991-1052568-7
  • MathSciNet review: 1052568