Exponential type functional equation and its Hyers-Ulam stability

DOI10.1016/J.JMAA.2006.07.030zbMath1154.39304OpenAlexW2037755295MaRDI QIDQ1001272

Hiroyuki Takagi, Sin-Ei Takahasi, Takeshi Miura

Publication date: 17 February 2009

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.2006.07.030

zbMATH Keywords

functional equationHyers-Ulam stability

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Stability, separation, extension, and related topics for functional equations (39B82)

Related Items (6)

On a functional equation of trigonometric type ⋮ On the quotient stability of a family of functional equations ⋮ Remarks on Stability of the Linear Functional Equation in Single Variable ⋮ A functional equation motivated by some trigonometric identities ⋮ Hyers-Ulam stability of a class second differential equation \(y(x)+p(x)y'(x)+q(x)y(x)=F(y(x))\) ⋮ The cosine addition law with an additional term

Cites Work

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• A characterization of Hyers-Ulam stability of first order linear differential operators.
• Hyers-Ulam stability of functional equations in several variables
• Hyers-Ulam stability of Butler-Rassias functional equation
• On the Stability of the Linear Functional Equation

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