General stability of functional equations of linear type

DOI10.1016/j.jmaa.2006.05.022zbMath1111.39027OpenAlexW2042084919WikidataQ112226090 ScholiaQ112226090MaRDI QIDQ864683

Jacek Tabor, Józef Tabor

Publication date: 12 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.05.022

zbMATH Keywords

quadratic functional equationlinear functional equationmetric grouplocally divisible group

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items

Refined stability of additive and quadratic functional equations in modular spaces, On the quotient stability of a family of functional equations, Remarks on Stability of the Linear Functional Equation in Single Variable, A comparison among methods for proving stability, Fixed point theory and the Ulam stability, On some recent developments in Ulam's type stability, Stability analysis of the high-order multistep collocation method for the functional integral equations with constant delays, Well-posedness and Ulam-Hyers stability of Hilfer fractional differential equations of order \((1,2\) with nonlocal boundary conditions], On perturbations of two general equations in several variables, On Hyers-Ulam-Rassias stability of functional equations, On approximate solutions of the linear functional equation of higher order, Fixed points of a mapping and Hyers-Ulam stability, On the stability of the first-order linear recurrence in topological vector spaces, On the generalized Hyers-Ulam stability of a functional equation and its consequences, Investigation of the stability via shadowing property, Stability of Quadratic and Drygas Functional Equations, with an Application for Solving an Alternative Quadratic Equation

Cites Work

• Unnamed Item
• Unnamed Item
• The stability problem: New results and counterexamples
• Shadowing in dynamical systems
• Comments on the core of the direct method for proving Hyers-Ulam stability of functional equations
• Hyers-Ulam stability of functional equations in several variables
• The stability problem for transformations of the circle
• On the asymptoticity aspect of Hyers-Ulam stability of mappings
• The stability of the exponential equation
• On the Stability of the Linear Functional Equation