On the Stability of a Functional Equation Associated with the Fibonacci Numbers-Reference-Cited by-同舟云学术

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On the Stability of a Functional Equation Associated with the Fibonacci Numbers

Published:2014 Issue: Volume:2014 Page:1-6
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Mortici Cristinel¹²,Rassias Michael Th.³^ORCID,Jung Soon-Mo⁴^ORCID

Affiliation:

1. Valahia University of Târgovişte, Bulevardul Unirii 18, 130082 Târgovişte, Romania

2. Academy of Romanian Scientists, Splaiul Independenţei 54, 050094 Bucharest, Romania

3. Department of Mathematics, ETH Zürich, Raemistrasse 101, 8092 Zürich, Switzerland

4. Mathematics Section, College of Science and Technology, Hongik University, Sejong 339-701, Republic of Korea

Abstract

We prove the Hyers-Ulam stability of the generalized Fibonacci functional equationF(x)-g(x)F(h(x))=0, wheregandhare given functions.

Funder

National Research Foundation of Korea

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/546046.pdf

Reference14 articles.

1. On the Stability of the Linear Functional Equation

2. A Note on Stability of a Linear Functional Equation of Second Order Connected with the Fibonacci Numbers and Lucas Sequences

3. Note on nonstability of the linear recurrence

4. Hyers-Ulam stability for linear equations of higher orders

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