Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2024; 39(3): 731-737

Online first article July 18, 2024      Printed July 31, 2024

https://doi.org/10.4134/CKMS.c230338

Copyright © The Korean Mathematical Society.

Hyers-Ulam stability of Babbage equation

Rajendran Palanivel

Vellore Institute of Technology

Abstract

In this paper, we study the Hyers-Ulam stability of the classical iterative functional equation $f^n(x)=x$, the Babbage equation, using strictly monotonic approximate solutions on a real interval.

Keywords: Babbage equation, monotonic functions, iterative roots, Hyers-Ulam stability.

MSC numbers: Primary 39B12, 39A30, 26A18

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