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差分方程的全局吸引性 被引量:1

Global Attractivity for a Class of Difference Equation
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摘要 研究差分方程 ,n = 0, 1, …, α<1,所有负解的全局稳定性,初始条件x -1,x0是任意实数,得到方程唯一的负平衡点是一个全局吸引子,其吸引域依赖于参数的限制条件。 In this paper, the global stability of all negative solution of the difference equation xn+1=a+(xn-1/xn) is studied and when α<1 is a real number, and the initial conditions x-1, xo are arbitrary real numbers, We show that unique negative equilibrium of the equation is a global attractor with a basin that depends on certain conditions of the coefficient.
作者 何万生
出处 《天水师范学院学报》 2003年第2期1-3,共3页 Journal of Tianshui Normal University
关键词 差分方程 全局吸引性 全局稳定性 参数 连续函数 difference equation attractivity stability
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