On the recursive system xn+1 = A + xn-m / yn, yn+1 = B + yn-m / xn
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Abstract
In this paper, we investigate the boundedness, persistence and global asymptotic stability of positive solutions of the system of two nonlinear difference equations
xn+1 = A + xn-m / yn, yn+1 = B + yn-m / xn n = 0, 1, . . .
where A, B Î (0,¥), xi Î (0,¥), yi Î (0,¥), i = -m, -m+1, . . ., 0.
xn+1 = A + xn-m / yn, yn+1 = B + yn-m / xn n = 0, 1, . . .
where A, B Î (0,¥), xi Î (0,¥), yi Î (0,¥), i = -m, -m+1, . . ., 0.
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How to Cite
Zhang, Q., Yang, L., & Liu, J.
(2017).
On the recursive system xn+1 = A + xn-m / yn, yn+1 = B + yn-m / xn.
Acta Mathematica Universitatis Comenianae, 82(2), 201-208.
Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/740/495
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