A Linear Functional Equation of Third Order Associated with the Fibonacci Numbers

Soon-Mo Jung and Michael Th. Rassias

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: Given a vector space X, we investigate the solutions f:R→X of the linear functional equation of third order f(x) = pf(x − 1) + qf(x − 2) + rf(x − 3), which is strongly associated with a well‐known identity for the Fibonacci numbers. Moreover, we prove the Hyers‐Ulam stability of that equation.

Date: 2014
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https://doi.org/10.1155/2014/137468

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:137468

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