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Hamza, A.E. and Shehata, E.M. (2016) Existence and Uniqueness of Solutions of General Quantum Difference Equations. Advances in Dynamical Systems and Applications, 11, 45-58.

has been cited by the following article:

• 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).