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Existence Condition of Solution and Stability for n Order Linear Hahn Difference Equations with Constant Coefficients

DOI: 10.4236/apm.2025.153009, PP. 208-219

Keywords: Hahn Difference Equation, General Solution, Characteristic Equation, Ulam-Hyers Stability, Ulam-Hyers-Rassias Stability

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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).

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