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General uniqueness theorem concerning the stability of additive, quadratic, and cubic functional equations
- Authors
- Lee, Yang-Hi; Jung, Soon-Mo
- Issue Date
- Mar-2016
- Publisher
- SPRINGER INTERNATIONAL PUBLISHING AG
- Keywords
- generalized Hyers-Ulam stability; uniqueness; cubic-quadratic-additive type functional equation; cubic-quadratic-additive mapping
- Citation
- ADVANCES IN DIFFERENCE EQUATIONS, pp.1 - 12
- Journal Title
- ADVANCES IN DIFFERENCE EQUATIONS
- Start Page
- 1
- End Page
- 12
- ISSN
- 1687-1847
- Abstract
- We prove a general uniqueness theorem that can easily be applied to the proof of (generalized) Hyers-Ulam stability of the additive, quadratic, cubic, or the cubic-quadratic-additive type functional equation. By using this uniqueness theorem, we can omit the repeated proof for uniqueness of the relevant solutions of those equations.
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