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一类差分方程概周期解的存在性和稳定性 被引量:2

Existence of Almost Periodic Solutions of a Class Difference Equations
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摘要 通过构造离散形式的Liapunov函数,研究了一类形如x(n+1)=1+α(βn()nx)(xn()n)的差分方程的概周期解的存在性,得到了不同于已有文献的新结论。 By using discrete Liapunov function,the existence of almost periodic solutions for a class of difference equations such as x(n+1)=a(n)x(n)/[1+β(n)x(n)] is investigated ,a new result is obtained.
出处 《广西师范大学学报(自然科学版)》 CAS 北大核心 2008年第4期34-37,共4页 Journal of Guangxi Normal University:Natural Science Edition
基金 国家自然科学基金资助项目(10461003)
关键词 差分方程 概周期解 LIAPUNOV函数 渐近稳定性 difference equation almost periodic solution Liapunov function asymptotically stable
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