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September 5, 2026MathematicsOpen Access

Solution and Stability of a Multi-Quadratic Functional Equation

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Authors

JBJae-Hyeong BaeWPWon-Gil Park

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Overview

Mathematical analysis reveals unique representations and stability criteria for multi-quadratic functional equations, indicating structural robustness across distinct algebraic spaces.

Key Points

  • To characterize the general solution of a system of functional equations governing multi-quadratic mappings and establish their stability across different algebraic environments.
  • Formulated and evaluated a system of functional equations representing multi-quadratic mappings.
  • Investigated structural decompositions through 2n-additive pairwise symmetric mappings across two distinct algebraic settings.
  • Demonstrated that every multi-quadratic mapping is uniquely represented through a 2n-additive pairwise symmetric mapping.
  • Established rigorous mathematical stability outcomes for multi-quadratic mappings under two separate algebraic frameworks.

Cite This Study

Bae et al. (2026) studied this question.

synapsesocial.com/papers/6a9bd4046b95aff0620eb3eehttps://doi.org/10.3390/math14173181
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