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 language | English |
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Pages (from-to) | 21-32 |
Number of pages | 12 |
Journal | Iranian Journal of Fuzzy Systems |
Volume | 20 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1 Mar 2023 |
Keywords
- Interval-valued difference equations
- convergence
- equilibrium points
- gH-difference