# STABILITY OF A CUBIC FUNCTIONAL EQUATION ON GROUPS

• Park, Kyoo-Hong (Department of Mathematics Education, Seowon University) ;
• Jung, Yong-Soo (Department of Mathematics, Chungnam National University)
• Published : 2004.05.01

#### Abstract

In this note we will find out the general solution and investigate the generalized Hyers-Ulam-Rassias stability for the cubic functional equation f(3$\chi$+y) + f($3\chi$-y) = $3f(\chi$+ y) + $3f(\chi$-y) + ($48f(\chi)$ on abelian groups.

#### References

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3. Elementary remarks on Ulam–Hyers stability of linear functional equations vol.328, pp.1, 2007, https://doi.org/10.1016/j.jmaa.2006.04.079
4. STABILITY FOR A CUBIC FUNCTIONAL EQUATIONS IN NON-ARCHIMEDEAN NORMED SPACES vol.28, pp.3, 2015, https://doi.org/10.14403/jcms.2015.28.3.353
5. THE HYERS-ULAM STABILITY OF CUBIC FUNCTRIONAL EQUATIONS IN FUZZY BANACH SPACES vol.30, pp.3, 2014, https://doi.org/10.7858/eamj.2014.017
6. –additive functional equation vol.21, pp.1, 2018, https://doi.org/10.1080/09720502.2015.1086113