Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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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))
  • Received : 2022.05.02
  • Accepted : 2022.06.14
  • Published : 2022.06.30
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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.

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References

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