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.

• 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。