Characters of the Solutions to a Generalized Nonlinear Max-type Difference Equation

Characters of the Solutions to a Generalized Nonlinear Max-type Difference Equation

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摘要 This paper is concerned with the boundedness and asymptotic behavior of positive solutions for a generalized difference equation arising from automatic control theory. The main results improve and extend the ones in the previous works to a large extent. One in particular is that Rouche's theorem is available to prove the convergence of solutions. This paper is concerned with the boundedness and asymptotic behavior of pos- itive solutions for a generalized difference equation arising from automatic control theory. The main results improve and extend the ones in the previous works to a large extent. One in particular is that Rouche＇s theorem is available to prove the convergence of solutions.

作者 SHI Qi-hong SU Xing YUAN Guo-qiang XIA O Qian

机构地区 Department of Basic Courses

出处《Chinese Quarterly Journal of Mathematics》 CSCD 2013年第2期284-289,共6页 数学季刊（英文版）

基金 Supported by the NSF of Universities in Hebei Province(Z2011111) Supported by the Foundation of General Demonstration Course

关键词 NONLINEAR max-type BOUNDEDNESS asymptotic behavior nonlinear max-type boundedness asymptotic behavior

分类号 O175.2 [理学—基础数学]

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1POPOV E P. Automatic Regulation and Control(in Russian)[M). Moscow: Nauka, 1966.
2DE LA SEN M, ALONSO-QUESADA S. A control theory point of view on Beverton-Holt equation in population dynamics and some of its generalizations(J]. Appl Math Comput, 2008, 1992: 464-481.
3PIELOU E C. Population and Community Ecology[M]. New York: Gordon and Breach Science Publishers, 1974.
4XIAO Qian, SRI Qi-hong. Qualitative behavior of a rational difference equation(J]. Adv Diff Equ, 2011 2011: 6.
5SHI Qi-hong, XIAO Qian, YUAN Guo-qiang, et al. Dynamic behavior of a nonlinear rational difference equation and generalization(J]. Adv Diff Equ, 2011 2011: 36.
6LADAS G. On the recursive sequence Xn = max(x1/xn-1,x2/xn-2,…,xy/zn-p), open problems and conjectures(J). Xn_1 %n-2 Xn-p Difference Equ Appl, 1996, 2: 339-341.
7STEVC S. On the recursive sequence Xn+1 =max(x1/xn-1,x2/xn-2,…,xy/zn-p)[J]. Applied Mathematics Letters, 2008, 21(8): 791-796.
8STEVIe S. On a nonlinear generalized max-type difference equation[J) Math Anal Appl, 2011, 376: 317-328.
9KENT C M, RADIN M A. On the boundedness nature of positive solutions of the difference equation Xn+1=max{ An/zn,Bn/xn-1} with periodic parameters[J]. Dyn Contin Discrete Impuls Syst Appl Algorithms Suppl, 2003: 11-15.
10PATULA W T, VOULOV H D. On a max type recurrence relation with periodic coefficients(J]. Diff Equ Appl, 2004, 10(3): 329-338.

1WANG LIN-JUN,GONG CHENG-CHUN.The Existence of Three Positive Solutions for p-Laplacian Difference Equation with Delay[J].Communications in Mathematical Research,2012,28(4):337-348.
2XIAO Qian SHI Qi-hong.On the Qualitative Behavior of a Difference Equation[J].Chinese Quarterly Journal of Mathematics,2013,28(1):93-98.
3Tang Hengsheng,Ou Chunhua,LuoWei & Li Xianyi(Centre-south Institute of Technology,421001).SOME PROPERTIES OF A KIND OF DIFFERENCE EQUATION[J].Annals of Differential Equations,1996,12(3):335-340. 被引量：1
4Yang Fang Tian Yanling Weng Peixuan.OSCILLATION OF SECOND ORDER NONLINEAR IMPULSIVE DIFFERENCE EQUATION[J].Annals of Differential Equations,2005,21(3):491-496.
5Lin Xiaoyan,Shen Jianhua.NONEXISTENCE OF POSITIVE SOLUTION OF A CLASS OF NONLINEAR DIFFERENCE EQUATION[J].Annals of Differential Equations,2005,21(3):327-330.
6Huang Lihong,Yu Jianshe,Dai Binxiang Department of Applied Mathematics, Hunan University, Changsha 410082, China.Asymptotic Behavior of Solutions for a Class of Retarded Difference Equations[J].Acta Mathematica Sinica,English Series,1998,14(3):419-422. 被引量：4
7Zhenggao Hu,Xiaoyun Zeng,Bao Shi (Institute of Systems Science and Math.,Naval Aeronautical and Astronautical University,Yantai 264001,Shandong).GLOBAL ATTRACTIVITY OF A DIFFERENCE EQUATION[J].Annals of Differential Equations,2011,27(4):450-453.
8张渝.On a max-type difference equation[J].Journal of Chongqing University,2006,5(1):27-29.
9周英告.Existence of positive solutions in a delay logistic difference equation[J].Journal of Central South University of Technology,2002,9(2):142-144.
10HE,Tian-lan(贺天兰).BIFURCATIONS OF INVARIANT CURVES OF A DIFFERENCE EQUATION[J].Applied Mathematics and Mechanics(English Edition),2001,22(9):1096-1104.

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Characters of the Solutions to a Generalized Nonlinear Max-type Difference Equation

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