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A General Theorem on the Stability of a Class of Functional Equations Including Quartic-Cubic-Quadratic-Additive Equations

Author

Listed:
  • Yang-Hi Lee

    (Department of Mathematics Education, Gongju National University of Education, Gongju 32553, Korea)

  • Soon-Mo Jung

    (Mathematics Section, College of Science and Technology, Hongik University, Sejong 30016, Korea)

Abstract

We prove general stability theorems for n -dimensional quartic-cubic-quadratic-additive type functional equations of the form ∑ i = 1 ℓ c i f a i 1 x 1 + a i 2 x 2 + ⋯ + a i n x n = 0 . by applying the direct method. These stability theorems can save us the trouble of proving the stability of relevant solutions repeatedly appearing in the stability problems for various functional equations.

Suggested Citation

  • Yang-Hi Lee & Soon-Mo Jung, 2018. "A General Theorem on the Stability of a Class of Functional Equations Including Quartic-Cubic-Quadratic-Additive Equations," Mathematics, MDPI, vol. 6(12), pages 1-24, November.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:12:p:282-:d:185453
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