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http://dx.doi.org/10.11568/kjm.2022.30.2.403

GENERAL SOLUTION AND ULAM STABILITY OF GENERALIZED CQ FUNCTIONAL EQUATION  

Govindan, Vediyappan (Department of Mathematics, DMI St John Baptist University)
Lee, Jung Rye (Department of Data Science, Daejin University)
Pinelas, Sandra (Departamento de Ciencias Exatas e Engenharia, Academia Militar)
Muniyappan, P. (Erode Arts and Science College (Autonomous))
Publication Information
Korean Journal of Mathematics / v.30, no.2, 2022 , pp. 403-412 More about this Journal
Abstract
In this paper, we introduce the following cubic-quartic functional equation of the form $$f(x+4y)+f(x-4y)=16[f(x+y)+f(x-y)]{\pm}30f(-x)+\frac{5}{2}[f(4y)-64f(y)]$$. Further, we investigate the general solution and the Ulam stability for the above functional equation in non-Archimedean spaces by using the direct method.
Keywords
Ulam stability; non-Archimedean space; cubic functional equation; quartic functional equation;
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