On the first-order autonomous interval-valued difference equations under gH-difference

H. Wang*, R. Rodríguez-López

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

The theory of interval-valued difference equations under gH-difference is an interesting topic, since it can be applied to study numerical solutions to interval-valued or fuzzy-valued differential equations. In this paper, we estimate the number of solutions to a class of first-order interval-valued difference equations under gH-difference, which reveals the complexity of the stability analysis in this area, as well as the difficulty for prediction and control problems. Then, based on the relative positions of initial values and equilibrium points, we provide sufficient conditions for the existence of convergent solutions. We also provide examples to illustrate the validity of our results.

Original languageEnglish
Pages (from-to)21-32
Number of pages12
JournalIranian Journal of Fuzzy Systems
Volume20
Issue number2
DOIs
Publication statusPublished - 1 Mar 2023

Keywords

  • Interval-valued difference equations
  • convergence
  • equilibrium points
  • gH-difference

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