On Positive Solutions for the Rational Difference Equation Systems x n+1 = A/x n y n 2, and y n+1 = By n/x n−1 y n−1
Our aim in this paper is to investigate the behavior of positive solutions for the following systems of rational difference equations: x n+1 = A/x n y n 2, and y n+1 = By n/x n−1 y n−1, n = 0,1,…, where x −1, x 0, y −1, and y 0 are positive real numbers and A and B are positive constants.
| Main Authors: | , |
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| Format: | Online |
| Language: | English |
| Published: |
Hindawi Publishing Corporation
2014
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| Online Access: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4897307/ |
| Summary: | Our aim in this paper is to investigate the behavior of positive solutions for the following systems of rational difference equations: x
n+1 = A/x
n
y
n
2, and y
n+1 = By
n/x
n−1
y
n−1, n = 0,1,…, where x
−1, x
0, y
−1, and y
0 are positive real numbers and A and B are positive constants. |
|---|