| 一类高阶差分方程非负解的全局行为(英文) |
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| 引用本文： | 石启宏,杨建伟,王长有.一类高阶差分方程非负解的全局行为(英文)[J].数学季刊,2012(2):280-285. |
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| 作者姓名： | 石启宏 杨建伟 王长有 |
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| 作者单位： | Department of Basic Sciences,Hebei Finance University;College of Mathematics and Information Science,North China University of Water Resources and Electric Power;College of Mathematics and Physics,Chongqing University of Posts and Telecommunications;Key Laboratory of Network control and Intelligent Instrument,Ministry of Education |
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| 基金项目： | Supported by the Science and Technology Project of Chongqing Municiple Education Commission(KJ110501);Supported by the Research Initiation Project for High-level Talents of North China University of Water Resources and Electric Power(201035);Supported by the NSF of the Hebei Higher Education Institutions(Z2011111) |
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| 摘 要： | This paper is concerned with the following nonlinear difference equation:xn+1=sum from i=1 to l Asixn-si/B+C multiply from j=1 to k xn-tj +Dxn,n=0,1,…（1.1）.The more simple suffcient conditions of asymptotic stability are obtained by using a smart technique,which extends and includes partially corresponding results obtained in the references 6-9].The global behavior of the solutions is investigated.In addition,in order to support analytic results,some numerical simulations to the special equations are presented.
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| 关 键 词： | local stability di?erence equation equilibrium point global attractor |
Global Behavior of Nonnegative Solutions to a Higher Order Difference Equation |
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| SHI 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(2):280-285. |
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| Authors: | SHI Qi-hong YANG Jian-wei WANG Chang-you |
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| Institution: | 1.Department of Basic Sciences,Hebei Finance University,Baoding 071051,China;2.College of Mathematics and Information Science,North China University of Water Resources and Electric Power,Zhengzhou 450011,China;3.College of Mathematics and Physics,Chongqing University of Posts and Telecommunications,Chongqing 400065,China;Key Laboratory of Network control and Intelligent Instrument,Ministry of Education,Chongqing 400065,China) |
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| Abstract: | This paper is concerned with the following nonlinear difference equation:xn+1=sum from i=1 to l Asixn-si/B+C multiply from j=1 to k xn-tj +Dxn,n=0,1,…（1.1）.The more simple suffcient conditions of asymptotic stability are obtained by using a smart technique,which extends and includes partially corresponding results obtained in the references 6-9].The global behavior of the solutions is investigated.In addition,in order to support analytic results,some numerical simulations to the special equations are presented. |
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| Keywords: | local stability di?erence equation equilibrium point global attractor |
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