Korean J. Math. Vol. 30 No. 2 (2022) pp.403-412
DOI: https://doi.org/10.11568/kjm.2022.30.2.403

General solution and Ulam stability of generalized CQ functional equation

Main Article Content

Vediyappan Govindan
Jung-Rye Lee
Sandra Pinelas
P. Muniyappan

Abstract

In this paper, we introduce the following cubic-quartic functional equation of the form
$$ f(x+4y)+f(x-4y)=16\left[f(x+y)+f(x-y)\right]\pm 30f(-x)+\frac{5}{2}\left[f(4y)-64f(y)\right]. $$
Further, we investigate the general solution and the Ulam stability for the above functional equation in non-Archimedean spaces by using the direct method.



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References

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