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

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Wang H.; Rodriguez Lopez R.

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Journal Paper

Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2023 | Volume:20 | Issue:2 Page(s): 21-32

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Title

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

Author(s)

Wang H. | Rodriguez Lopez R. | Issue Writer Certificate

Keywords

Interval-valued

difference equations

gH-difference

equilibrium points

convergence

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.

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