非线性时滞差分方程的持续生存和渐近性质

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基金项目: 国家自然科学基金资助项目(10171040);甘肃省自然科学基金资助项目(ZS011-A25-007-Z);教育部高等学校骨干教师基金资助项目;教育部高等学校教学科研奖励计划资助项目

Permanence and Asymptotic Properties of Nonlinear Delay Difference Equations

摘要: 研究了一类非线性时滞差分方程解的渐近性质,得到了方程持续生存和全局吸引的充分条件.这些结果可应用于一类非线性时滞差分方程和时滞离散Logistic模型,并包含了一些已知的结果.
- 全局吸引 /
- 高阶非线性差分方程 /
- 持续生存 /
- 时滞
Abstract: The asymptotic behavior of a class of nonlinear delay difference equation was studied. Some sufficient conditions are obtained for permanence and global attractivity. The results can be applied to a class of nonlinear delay difference equations and to the delay discrete Logistic model and some known results are included.
- global attractivity /
- higher order nonlinear difference equation /
- permanence /
- delay

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