Global Behavior of Nonnegative Solutions to a Higher Order Diﬀerence Equation

Chinese Quarterly Journal of Mathematics ›› 2012, Vol. 27 ›› Issue (2): 280-285.

Global Behavior of Nonnegative Solutions to a Higher Order Diﬀerence Equation

1. Department of Basic Sciences, Hebei Finance University 2. College of Mathematics and Information Science, North China University of Water Resources and Electric Power 3. College of Mathematics and Physics, Chongqing University of Posts and Telecommunications 4. Key Laboratory of Network control and Intelligent Instrument, Ministry of Education

Received:2010-11-08 Online:2012-06-30 Published:2023-03-30
About author:SHI Qi-hong(1984-), male, native of Tianshui, Gansu, an assistant of Hebei Finance University, M.S.D., engages in diﬀerence equation and partial diﬀerential equations.
Supported by:
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)

Abstract

Abstract: This paper is concerned with the following nonlinear difference equation: xn+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.

Key words: local stability, difference equation, equilibrium point, global attractor

CLC Number:

O175.7

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, 27(2): 280-285.

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Global Behavior of Nonnegative Solutions to a Higher Order Diﬀerence Equation

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