李先义.差分方程x_(n+1)=α/〔1+(x_(n-l)x_(n-2l))~m〕的全局[J].南华大学学报(自然科学版),1995,(2):.[.[J].Journal of University of South China(Science and Technology),1995,(2):.]
差分方程x_(n+1)=α/〔1+(x_(n-l)x_(n-2l))~m〕的全局
  
DOI:
中文关键词:  差分方程  持久性  非平凡解  严格振动性  收敛数列  全局渐近稳定性  半环  全局吸引性
英文关键词:difference equation,permanence,nontrivial solution,strict oscillation,con vergent sequence,global asymptotic stability,semicycle,global attractor
基金项目:
李先义
中南工学院基础课部
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中文摘要:
      本文对一类多滞量的差分方程获得了其解的持久性和严格振动性结果;并通过与一已知收敛的数列进行比较,获得了其解的全局渐近总定性。
英文摘要:
      In this paper,the Permanence and strict oscillation of the solutions of a kind of difference equation with more delays is obtained and,after it is compared with a known convergent sequence,global asymptotic stability of its solutions is obtained.
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