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Hyers-Ulam stability of Babbage equation
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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.
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.
참고문헌 (14)
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- R. Palanivel, "Hyers-Ulam stability of an iterative equation for strictly increasing continuous functions", Aequationes Math, 97(3), pp.575~595 (2023)[DOI]
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- S. M. Ulam, "A Collection of Mathematical Problems" (1960), Interscience Publishers
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