期刊文献+

一类差分方程的渐近稳定性

The Asymptotic Stability of a Type of Difference Equation
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摘要 主要研究非线性时滞差分方程xn+1=f(n,xn-k1(n),xn-k2(n),…,xn-km(n)),零解的一致稳定性和全局渐近稳定性,得到一些充分条件,推广和改进了已有文献中相关的结果。 The uniformly stability and the global asymptotic stability of the zero solutions of the nonlinear differdence equation xn+1=f(n,xn-k1(n),xn-k2(n),…,xn-km(n)), are studied. Some new sufficient cinditions are obtained , which generalized and improved the known results in the literature.
作者 邓敏
出处 《衡阳师范学院学报》 2006年第3期18-19,共2页 Journal of Hengyang Normal University
关键词 差分方程 一致稳定性 渐近稳定性 difference equation uniformly stability asymptotic stability
  • 相关文献

参考文献6

  • 1Clark C W.A delay recruitment model of population dynamics,with an application to baleen whale populations[J].Math Biol,1976(3):381-391.
  • 2Spiridon A,Kuruklis.The asymptotic stability of xn+1-axn+bxn-k=0[J].J Math Anal Appl,1994(188):719-731.
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二级参考文献5

  • 1CLARK C W. A delay-recruitment model of population dynamics, with an application to baleen whale populations[J]. Math Biol,1976,3:381 - 391.
  • 2SPIRIDON A, Kuruklis. The asymptotic stability of xn + 1 - axn + bxn k = 0[J]. J Math Anal Appl, 1994,188:719 - 731.
  • 3ERBE L H, XIA H, YU J S. Global stability of a linear nonautonomous delay difference equetion [J]. Difference Equ Appl,1995,1:151 - 161.
  • 4LADAS G, QIAN C, VIAHOS P N, et al. Stability of solutions of linear nonautonomous difference equetion[J]. Applicable Analysis, 1991,41: 183 - 191.
  • 5YU J S, CHENG S S. A stability criterion for a neutral difference equation with delay[J ]. Appl Math Lett, 1994,7(6): 75 - 80.

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