A note on stability of a linear functional equation of second order connected with the Fibonacci numbers and Lucas sequences

DOI10.1155/2010/793947zbMath1198.39036OpenAlexW2114992527WikidataQ59253460 ScholiaQ59253460MaRDI QIDQ1957633

Janusz Brzdȩk, Jung, Soon-Mo

Publication date: 27 September 2010

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2010/793947

zbMATH Keywords

Hyers-Ulam stabilityFibonacci numbersLucas sequencessecond-order linear functional equation

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Stability, separation, extension, and related topics for functional equations (39B82) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (15)

Hyers-Ulam stability of the first-order matrix difference equations ⋮ Remarks on Stability of the Linear Functional Equation in Single Variable ⋮ Ulam stability of a successive approximation equation ⋮ On some recent developments in Ulam's type stability ⋮ A note on stability of an operator linear equation of the second order ⋮ A fixed point approach to stability of functional equations ⋮ A fixed point approach to the stability of functional equations in non-Archimedean metric spaces ⋮ On the stability of a general mixed additive-cubic functional equation in random normed spaces ⋮ On Ulam stability of a third order linear difference equation in Banach spaces ⋮ A linear functional equation of third order associated with the Fibonacci numbers ⋮ On the best Ulam constant of a higher order linear difference equation ⋮ On the stability of a functional equation associated with the Fibonacci numbers ⋮ A fixed point approach to the stability of quintic and sextic functional equations in quasi-\(\beta \)-normed spaces ⋮ On Ulam stability of an operatorial equation ⋮ On Ulam stability of a linear difference equation in Banach spaces

Cites Work

• On the stability of functional equations
• A new approach to the stability of linear functional operators
• Fixed point methods for the generalized stability of functional equations in a single variable
• Hyers-Ulam stability for linear equations of higher orders
• Hyers-Ulam stability of Fibonacci functional equation
• On a Pexiderized conditional exponential functional equation
• Note on nonstability of the linear recurrence
• Stability of the multi-Jensen equation
• The probabilistic stability for a functional equation in a single variable
• A characterization of real Hilbert spaces using the Bochnak complexification norm
• Stability of functional equations in single variable.
• A survey of shadowing methods for numerical solutions of ordinary differential equations
• Shadowing in dynamical systems
• Stability problem for the Gołąb-Schinzel type functional equations
• Bounded solutions of a class of difference equations in Banach spaces producing controlled chaos
• Hyers-Ulam stability of the linear recurrence with constant coefficients
• My Numbers, My Friends
• On the Stability of the Linear Functional Equation
• Stability of functional equations in several variables
• Recent results on functional equations in a single variable, perspectives and open problems
• Functional analysis and infinite-dimensional geometry
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A note on stability of a linear functional equation of second order connected with the Fibonacci numbers and Lucas sequences