Stability of a functional equation deriving from cubic and quartic functions
M. Eshaghi Gordji, A. Ebadian, S. Zolfaghari
TL;DR
This paper investigates the general solutions and stability properties of a specific functional equation combining cubic and quartic functions, providing insights into its behavior and stability under perturbations.
Contribution
It derives the general solution and establishes the generalized Ulam-Hyers stability for a complex cubic-quartic functional equation.
Findings
Derived the general solution of the functional equation.
Proved the generalized Ulam-Hyers stability.
Enhanced understanding of stability in cubic and quartic functional equations.
Abstract
In this paper, we obtain the general solution and the generalized Ulam-Hyers stability of the cubic and quartic functional equation &4(f(3x+y)+f(3x-y))=-12(f(x+y)+f(x-y)) &+12(f(2x+y)+f(2x-y))-8f(y)-192f(x)+f(2y)+30f(2x).
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Taxonomy
TopicsFunctional Equations Stability Results · Mathematical and Theoretical Analysis