2021
DOI: 10.3934/era.2021017
|View full text |Cite
|
Sign up to set email alerts
|

On a general homogeneous three-dimensional system of difference equations

Abstract: In this work, we study the behavior of the solutions of following three-dimensional system of difference equations x n+1 = f (yn, y n−1), y n+1 = g(zn, z n−1), z n+1 = h(xn, x n−1) where n ∈ N 0 , the initial values x −1 , x 0 , y −1 , y 0 z −1 , z 0 are positive real numbers, the functions f, g, h : (0, +∞) 2 → (0, +∞) are continuous and homogeneous of degree zero. By proving some general convergence theorems, we have established conditions for the global stability of the corresponding unique equilibrium poin… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1

Citation Types

0
1
0

Year Published

2021
2021
2024
2024

Publication Types

Select...
6

Relationship

0
6

Authors

Journals

citations
Cited by 7 publications
(1 citation statement)
references
References 24 publications
0
1
0
Order By: Relevance
“…For more linked results on this side can be found in [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27].…”
Section: Introductionmentioning
confidence: 99%
“…For more linked results on this side can be found in [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27].…”
Section: Introductionmentioning
confidence: 99%