TITLE:
Existence Condition of Solution and Stability for n Order Linear Hahn Difference Equations with Constant Coefficients
AUTHORS:
Tingyi Li, Kai Chen
KEYWORDS:
Hahn Difference Equation, General Solution, Characteristic Equation, Ulam-Hyers Stability, Ulam-Hyers-Rassias Stability
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.15 No.3,
March
13,
2025
ABSTRACT: The paper firstly studies existence condition of solution via the corresponding characteristic eigenvalues condition. Secondly, we derive the representation for the general solution by using the method of constant variation. Finally, we use the representation of the general solution to investigate Ulam-Hyers stability (UHS) and Ulam-Hyers-Rassias stability (UHRS).