ON THE STABILITY OF A RECURSIVE SEQUENCE

ON THE STABILITY OF A RECURSIVE SEQUENCE

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摘要 In this paper, we investigate the global behavior of a recursive sequence. We get sufficient conditions for the existence of the unique equilibrium point, and the unique equilibrium point is proved to be globally attractive, also the attractive basin of the equilibrium is obtained. In this paper, we investigate the global behavior of a recursive sequence. We get sufficient conditions for the existence of the unique equilibrium point, and the unique equilibrium point is proved to be globally attractive, also the attractive basin of the equilibrium is obtained.

作者 Xiaoyun Zeng Zhenggao Hu Decun Zhang

机构地区 Institute of Applied Math.

出处《Annals of Differential Equations》 2013年第2期238-243,共6页 微分方程年刊（英文版）

基金 Research supported by Distinguished Expert Science Foundation of Naval Aeronautical and Astronautical University

关键词 global attractor recursive sequence difference equations semi-cycles global attractor recursive sequence difference equations semi-cycles

分类号 O173 [理学—基础数学]

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1Kocic VL,Ladas G.Global behavior of nonlinear difference equations of higher order with applications[]..1993
2Kocic V L,Ladas G,Rodrigues I W.On rational recursive sequences[].Journal of Mathematical.1993
3Stevi?,S.On the recursive sequence xn+1 = g(xn, xn-1)/(A + xn)[].Applied Mathematics Letters.2002
4H.M. EL-Owaidy,A.M. Ahmed,Z. Elsady.Global attractivity of the recursive sequence[].J Appl Math Comp.2004

1Zeng Xiaoyun Shi Bao Zhang Decun (Institute of Applied Math., Naval Aeronautical Engineering Institute, Yantai 264001).STABILITY OF SOLUTIONS FOR THE RECURSIVE SEQUENCE x_(n+1) =α-βx_n/γ+g(x_(n-1),…,x_(n-k))[J].Annals of Differential Equations,2006,22(3):430-435.
2He Wansheng,Liu Dejin.GLOBAL BEHAVIOR IN A RATIONAL RECURSIVE SEQUENCE[J].Annals of Differential Equations,2005,21(3):300-304.
3冯建峰.BEHAVIOR　OF　THE　GLAUBER　DYNAMICS　IN　THE　LIMIT　AS　THE　TEMPERATURE　GOES　TO　ZERO[J].Acta Mathematica Scientia,1996,16(S1):46-56.
4Yaoping Chen (Concord University College of Fujian Normal University, Fuzhou 350007).EXTINCTION OF A DISCRETE NONLINEAR PREDATOR-PREY SYSTEM[J].Annals of Differential Equations,2010,26(4):379-384.
5Ruan Jiancheng.Global Behavior of a Class of Three-Dimensional Competitive Systems[J].Acta Mathematica Sinica,English Series,1995,11(3):316-323.
6Niu Jianren Den Jin Xu DaoyiDept.of Math.,Sichuan Univ.,Chengdu 610064,China..ASYMPTOTIC PROPERTIES OF FUNCTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES[J].Applied Mathematics(A Journal of Chinese Universities),2003,18(4):431-441. 被引量：1
7Chen Yaoping (College of Math. and Computer Science, Fuzhou University, Fuzhou 350002).EXTINCTION AND GLOBAL ATTRACTIVITY TO A NONLINEAR DISCRETE TWO SPECIES COMPETITIVE SYSTEM[J].Annals of Differential Equations,2008,24(4):387-394.
8SHI Qi-hong,YANG Jian-wei,WANG Chang-you.Global Behavior of Nonnegative Solutions to a Higher Order Difference Equation[J].Chinese Quarterly Journal of Mathematics,2012,27(2):280-285. 被引量：1
9Xia An1,Tai-xiang Sun2,Yan-fang Zhang11. Department of Basic Courses,Institute of Disaster Prevention Science and Technology,Beijing 065201,2. Department of Mathematics,Guangxi University,Nanning 530004,China..On global behavior of the system of rational difference equations x_(n+1)=p+y_(n-k)/x_n,y_(n+1)=q+x_(n-k)/y_n[J].Journal of Pharmaceutical Analysis,2009,21(3):189-191. 被引量：1
10黄永年.A COUNTER EXAMPLE FOR P.CULL'S THEOREM[J].Chinese Science Bulletin,1986,31(14):1002-1003.

Annals of Differential Equations

2013年第2期

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ON THE STABILITY OF A RECURSIVE SEQUENCE

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