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一类有理差分方程的全局渐近稳定性 被引量：3

Global asymptotic stability of a category of rational difference equations
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摘要 运用子序列分析法研究一类高阶有理差分方程得到该方程的半环轨道结构和正平衡点全局渐近稳定性的充分条件,推广相关的已知结果. By means of subsequence analysis, the global asymptotic stability of positive equilibrium of a category of the rational difference equations were studied, some known results are generalized.
作者 霍海峰 刘纯英 马战平 向红
机构地区 兰州理工大学应用数学研究所
出处 《兰州理工大学学报》 CAS 北大核心 2009年第1期136-138,共3页 Journal of Lanzhou University of Technology
基金 甘肃省自然科学基金(3ZS042-B25-013)
关键词 有理差分方程 平衡解 全局渐近稳定性 rational difference equations equilibrium global asymptotic stability
分类号 O175.1 [理学—基础数学]
  • 相关文献

参考文献9

  • 1AGARWAL R P. Difference equations and inequalities [M]. 2nd ed. New York: Marcel Dekker, 1992.
  • 2LI X. Global behavior for a fourth order rational difference equation [J]. Math Anal Appl, 2005,312: 555-563.
  • 3LI X. Qualitative properties for a fourth-order rational difference equation [J]. Math Anal Appl,2005,311:103-111.
  • 4LI X. The rule of semicyele and global asymptotic stability for a fourth-order rational difference equation [J]. Comput Math Appl, 2005,49 : 723-730.
  • 5LI X. Qualitative properties for a fourth-order rational difference equation [J]. Math Anal Appl, 2005,311:103-111.
  • 6LI Zhi, ZHU Deming. Global asymptotic stability of a higher order nonlinear difference equation [J]. Appl Math Lett, 2006, 19:926-930.
  • 7霍海峰,苗黎明,张良.一类高阶有理差分方程的全局渐近稳定性[J].兰州理工大学学报,2008,34(1):125-127. 被引量：4
  • 8霍海峰,苗黎明,张良,向红.一类非线性有理差分方程的全局渐近稳定性[J].兰州理工大学学报,2008,34(3):139-143. 被引量：2
  • 9LI Z, ZHU D. Global asymptotic stability of a nonlinear recursire sequence [J]. Appl Math Lett, 2004,17: 833-838.

二级参考文献6

共引文献3

同被引文献23

  • 1刘玉记.一类时滞差分方程的全局吸引性及其应用[J].应用数学,2001,14(2):28-33. 被引量：2
  • 2LI X. Two rational recursive sequence [ J]. Computers and Mathematics with Applications ,2004,47( 1 ) : 487-494.
  • 3LI Z, ZHU D M. Global asymptotic stability of a higher order nonlinear difference equation [J]. Appl Math Lett ,2006 ,19 :926-930.
  • 4AGARWAL R P. Difference Equations and Inequalities[ M]. 2nd ed. New York: Marcel I)ekker,2000.
  • 5KOCIC V L, LADAS G. Global behavior of nonlinear difference equations of higher order with applications [ M]. Dordrecht: Kluwer Academic Publishers, 1993.
  • 6NESEMANN T. Positive nonlinear difference equations : some results and applications [ J ]. Nonlinear Analysis, 2001,47 ( 7 ) : 4 707-4 717.
  • 7SUN T X, XI H J. Global asymptotic stability of a higher order rational difference equation[ J ]. J Math Anal Appl, 2007,330 ( 3 ) :462-466.
  • 8LI X. Global behavior for fourth-order rational difference equation [ J ]. J Math Anal Appl,2005,312 (3) :555-563.
  • 9BERENHAUT K S, STEVIC S. The global attractivity of a higher order rational difference equation [ J ]. J Math Anal Appl, 2007,326(2) :940-944.
  • 10KULENONVIC M R S,LADAS G.Dynamics of second order rational difference equations with open problem and conjetures[M].Boca Raton:Chapman &Hall/CRC,2002.

引证文献3

二级引证文献2

兰州理工大学学报
2009年 第1期

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