p. 201 - 208 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. PDF Compressed Postscript Version to read ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2013, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |