Systematic Analysis of Qualitative Dynamics in High-Order Exponential Fuzzy Difference Equations

Zerong Luo, Qianhong Zhang and Jing Wu

Journal of Mathematics, 2026, vol. 2026, 1-21

Abstract: We examine the qualitative behavior of high-order exponential fuzzy difference equations. The g-division framework is used to prove that positive fuzzy solutions exist uniquely. Their boundedness and persistence are then established. Suitable Lyapunov functions provide sufficient criteria under which the unique positive equilibrium is globally asymptotically stable. Two numerical experiments illustrate the predicted behavior and are consistent with the analytical results.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9484085

DOI: 10.1155/jom/9484085

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