Non-Archimedean stability of an AQQ functional equation

作者：Azadi Kenary Hassan; Lee Jung Rye^*; Park Choonkil

来源：Journal of Computational Analysis and Applications, 2012, 14(2): 211-227.

• Hyers-Ulam stability
• non-Archimedean normed space
• p-adic field

Recently, Mohammadi et al. [24] proved the Hyers-Ulam stability of the following additive-quadratic-quartic functional equation %26lt;br%26gt;f (x + 2y) + f (x - 2y) = 2f (x + y) + 2f (-x - y) + 21 (x - y) %26lt;br%26gt;+ 2f (y - x) - 4f (-x) - 2f (x) + f (2y) %26lt;br%26gt;+ f (-2y) - 4f (y) - 4f (-y) %26lt;br%26gt;in random normed spaces. %26lt;br%26gt;In this paper, we prove the Hyers-Ulam stability of the above functional equation in non-Archimedean normed spaces.

• 出版日期2012-2