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On the Superstability Related with the Trigonometric Functional Equation

Abstract

We will investigate the superstability of the (hyperbolic) trigonometric functional equation from the following functional equations: , , , , which can be considered the mixed functional equations of the sine function and cosine function, of the hyperbolic sine function and hyperbolic cosine function, and of the exponential functions, respectively.

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Correspondence to Gwang Hui Kim.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Kim, G.H. On the Superstability Related with the Trigonometric Functional Equation. Adv Differ Equ 2009, 503724 (2009). https://doi.org/10.1155/2009/503724

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Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Analysis
  • Functional Equation