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Existence Condition of Solution and Stability for n Order Linear Hahn Difference Equations with Constant Coefficients
Department of Mathematics, Guizhou University, Guiyang, China
Department of Mathematics, Guizhou University, Guiyang, China
- 1 Department of Mathematics, Guizhou University, Guiyang, China
- 2 Department of Mathematics, Guizhou University, Guiyang, China
Advances in Pure Mathematics·Volume 15 (2025)·Pages 208–219·Published 7 March 2025·DOI10.4236/apm.2025.153009
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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).
KeywordsHahn Difference EquationGeneral SolutionCharacteristic EquationUlam-Hyers StabilityUlam-Hyers-Rassias Stability
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