On the recursive system
xn+1 = A + xn-m / yn, yn+1 = B + yn-m / xn
Qianhong Zhang, Lihui Yang and Jingzhong Liu
Received: July 2, 2012; Accepted: February 13, 2012
Abstract. In this paper, we investigate the boundedness, persistence and global asymptotic stability of positive solutions of the system of two nonlinear difference equations
where A, B Î (0,¥), xi Î (0,¥), yi Î (0,¥), i = -m, -m+1, . . ., 0.
Keywords: difference equation; boundedness; persistence; global asymptotic stability.
AMS Subject classification: Primary: 39A10.
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ISSN 0862-9544 (Printed edition)
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