多时滞Logistic差分方程正周期解的存在性 |
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引用本文: | 刘智钢,凡爱平. 多时滞Logistic差分方程正周期解的存在性[J]. 湘南学院学报, 2003, 24(2): 1-3,9 |
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作者姓名: | 刘智钢 凡爱平 |
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作者单位: | 1. 郴州师范高等专科学校,数学系,湖南,郴州,423000 2. 资兴三都镇中学,湖南,资兴,423405 |
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基金项目: | 湖南省教委科研基金资助课题(01C009) |
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摘 要: | 本文研究多时滞Logistic差分方程u(k+1)=u(k)exp{a(k)-∑mj=1bj(k)u(k-τj(k))}运用重合度理论,证明了方程至少存在一个正周期解.
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关 键 词: | 重合度 时滞 差分方程 正周期解 |
文章编号: | 1008-2042(2003)02-0001-03 |
修稿时间: | 2003-02-18 |
Existence of Positive Periodic Solutions of Logistic Difference Equation with Surreal Delays |
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Abstract: | In this paper, by Mawhin's Coincidence degree theory, the existence of a positive periodic solution to the following Logistic difference equation with several delays u(k+1)=u(k)exp{a(k)-∑mj=1bj(k)u(k-τj(k))} is studied. |
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Keywords: | coincidence degree delay difference equation positive periodic solution Subject Classifcation(2000MR):34K10 39A10 39A12 |
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