Note on nonstability of the linear functional equation of higher order

DOI10.1016/j.camwa.2011.08.007zbMath1231.39012OpenAlexW2030321917MaRDI QIDQ660933

Janusz Brzdȩk, Bing Xu, Dorian Popa

Publication date: 5 February 2012

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.08.007

zbMATH Keywords

normed spaceHyers-Ulam stabilitylinear equationcharacteristic rootnonstability

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)

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On some recent developments in Ulam's type stability, On the stability of the linear functional equation in a single variable on complete metric groups, Behaviour at infinity of solutions of some linear functional equations in normed spaces, On Ulam's type stability of the linear equation and related issues

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