| ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR A CLASS OF DELAY DIFFERENCE EQUATION |
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| 引用本文： | Zhu Huiyan (Dept. of Math. and Physics,Nanhua University,Hengyang Huang Lihong (College of Math,and Econometrics,Hunan University,Changsha 410082). ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR A CLASS OF DELAY DIFFERENCE EQUATION[J]. Annals of Differential Equations, 2005, 21(1): 99-105 |
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| 作者姓名： | Zhu Huiyan (Dept. of Math. and Physics Nanhua University Hengyang Huang Lihong (College of Math and Econometrics Hunan University Changsha 410082) |
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| 作者单位： | Zhu Huiyan (Dept. of Math. and Physics，Nanhua University，Hengyang Huang Lihong (College of Math，and Econometrics，Hunan University，Changsha 410082 |
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| 基金项目： | Research supported by National Natural Science Foundation of China (10071016)the Key Research Program of Science and Technology of the Ministry of Education of China, the Doctor Program Foundation of the Ministry of Education of China (20010532002)Foundation for University Excellent Teacher by the Ministry of Education. |
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| 摘 要： | We propose a class of delay difference equation with piecewise constant nonlinearity. Such a delay difference equation can be regarded as the discrete analog of a differential equation. The convergence of solutions and the existence of asymptotically stable periodic solutions are investigated for such a class of difference equation.
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| 关 键 词： | 差分微分方程 渐近性 收敛 周期性 时滞解 |
ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR A CLASS OF DELAY DIFFERENCE EQUATION |
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| ZhuHuiyan HuangLihong. ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR A CLASS OF DELAY DIFFERENCE EQUATION[J]. 微分方程年刊(英文版), 2005, 21(1): 99-105 |
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| Authors: | ZhuHuiyan HuangLihong |
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| Affiliation: | [1]Dept.ofMath.andPhysics,NanhuaUniversity,Hengyang421001 [2]CollegeofMath.andEconometrics,HunanUniversity,Changsha410082 |
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| Abstract: | We propose a class of delay difference equation with piecewise constant nonlinearity. Such a delay difference equation can be regarded as the discrete analog of a differential equation. The convergence of solutions and the existence of asymptotically stable periodic solutions are investigated for such a class of difference equation. |
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| Keywords: | difference equation asymptotic behavior convergence periodicity |
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