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Global Behavior of a Higher Order Fuzzy Difference Equation

Author

Listed:
  • Guangwang Su

    (College of Information and Statistics, Guangxi University of Finance and Economics, Nanning 530003, China
    Guangxi Key Laboratory Cultivation Base of Cross-Border E-Commerce Intelligent Information Processing, Nanning 530003, China)

  • Taixiang Sun

    (College of Information and Statistics, Guangxi University of Finance and Economics, Nanning 530003, China
    Guangxi Key Laboratory Cultivation Base of Cross-Border E-Commerce Intelligent Information Processing, Nanning 530003, China)

  • Bin Qin

    (Guangxi Key Laboratory Cultivation Base of Cross-Border E-Commerce Intelligent Information Processing, Nanning 530003, China
    Guangxi (ASEAN) Research Center of Finance and Economics, Nanning 530003, China)

Abstract

Our aim in this paper is to investigate the convergence behavior of the positive solutions of a higher order fuzzy difference equation and show that all positive solutions of this equation converge to its unique positive equilibrium under appropriate assumptions. Furthermore, we give two examples to account for the applicability of the main result of this paper.

Suggested Citation

  • Guangwang Su & Taixiang Sun & Bin Qin, 2019. "Global Behavior of a Higher Order Fuzzy Difference Equation," Mathematics, MDPI, vol. 7(10), pages 1-11, October.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:10:p:938-:d:274979
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