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2014 A Linear Functional Equation of Third Order Associated with the Fibonacci Numbers
Soon-Mo Jung, Michael Th. Rassias
Abstr. Appl. Anal. 2014: 1-7 (2014). DOI: 10.1155/2014/137468

Abstract

Given a vector space X, we investigate the solutions f:RX of the linear functional equation of third order fx=pfx-1+qfx-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.

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Soon-Mo Jung. Michael Th. Rassias. "A Linear Functional Equation of Third Order Associated with the Fibonacci Numbers." Abstr. Appl. Anal. 2014 1 - 7, 2014. https://doi.org/10.1155/2014/137468

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07021785
MathSciNet: MR3230507
Digital Object Identifier: 10.1155/2014/137468

Rights: Copyright © 2014 Hindawi

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