一阶时滞差分方程周期边值问题的单调迭代法  

Monotone Method for First Order Periodic Boundary Value Problems of Delay Difference Equations

作　　者：朱耀亮[1] 翁佩萱[2] 

机构地区：[1]南京工业大学应用数学系,南京210009 [2]华南师范大学数学系,广州510631

出　　处：《数学物理学报（A辑）》2005年第6期869-876,共8页Acta Mathematica Scientia

基　　金：广东省自然科学基金(011471)资助

摘　　要：该文利用上下解结合单调迭代方法研究了一阶时滞差分方程周期边值问题解的存在性,假设问题的上下解存在,得到两组保证边值问题的极大极小解存在的充分条件.In this paper, the upper and lower solutions combining with the monotone itera- tive technique is emploied to study the existence of solutions for first order periodic bound- ary value problems of delay difference equations. Assuming that the upper and lower solu- tions exist, two group of sufficient conditions are obtained to guarantee the existence of extreme solutions of the boundary value problem.

关 键 词：边值问题 周期解 上下解 存在性 单调迭代方法 

分 类 号：O175.8[理学—数学]