A functional equation originating from elliptic curves

DOI10.1155/2008/135237zbMath1146.39037OpenAlexW2040267767WikidataQ58644271 ScholiaQ58644271MaRDI QIDQ938372

Jae-Hyeong Bae, Won-Gil Park

Publication date: 19 August 2008

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54561

zbMATH Keywords

stabilityfunctional equationelliptic curvesgeneral solution

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Elliptic curves over global fields (11G05) Elliptic curves (14H52) Functional equations for complex functions (39B32)

Related Items (5)

On a cubic-quadratic equation relative to elliptic curves ⋮ Stability of a 2-dimensional functional equation in a class of vector variable functions ⋮ On the asymptoticity aspect of Hyers-Ulam stability of quadratic mappings ⋮ Stability of a bi-additive functional equation in Banach modules over a \(C^\star\)-algebra ⋮ On the stability of the functional equation \(f(2x+y)+f \left(\frac{x+y}{2}\right)=\frac{2f(x)f(y)}{f(x)+f(y)}+\frac{2f(x+y)f(y-x)}{3f(y-x)-f(x+y)}\)

Cites Work

• Unnamed Item
• A multidimensional functional equation having quadratic forms as solutions
• Generalized stability of \(C^{\ast}\)-ternary quadratic mappings
• Stability of functional inequalities with Cauchy-Jensen additive mappings
• On a bi-quadratic functional equation and its stability
• On the Stability of the Linear Mapping in Banach Spaces
• On the generalized Hyers-Ulam-Rassias stability of an \(n\)-dimensional quadratic function equation

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