在线阅读 --自然科学版 2011年3期《一阶时滞差分方程周期边值问题和周期解问题的单调迭代法》
一阶时滞差分方程周期边值问题和周期解问题的单调迭代法--[在线阅读]
张丽莉
中国青年政治学院数学中心, 北京 100089
起止页码: 225--230页
DOI:
摘要
使用单调迭代法,研究了一阶时滞差分方程周期边值问题和周期解问题解的存在性.首先给出了极大值原理,这是单调迭代法的关键所在;其次给出一阶差分方程周期边值问题的单调迭代法;最后给出一阶时滞差分方程的周期解问题的单调迭代法.从而解决了文中方程解的存在性问题.

First Order Periodic Boundary Value Problems and Periodic Solutions of Delay Difference Equations
ZHANG Lili
Center of Mathematics, China Youth University for Political Sciences, Beijing 100089, China
Abstract:
The existence of solutions for first order periodic boundary value problem and periodic solutions of delay difference equations is studied by using of monotone iterative technique.Section 1 is devoted to the maximum principle,which is the key to develop the monotune iterative technique.Section 2 presents the monotone method for first order periodic boundary value problems of functional difference equation.Section 3 is devoted to the monotone method for periodic solutions of first order delay difference equations.And finally the problems of existence of solutions for equations are solved.

收稿日期: 2010-3-18
基金项目: 中国青年政治学院科研基金

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